The cost of the utility pole is $127.36.
Just number 9 with work
The answer of the given question based on rational parent function , to identify a correct transformation of the function, The correct answer choice is (c) Left 5.
What is Function?A function is mathematical relationship that assigns unique output value for each input value. It describes relationship between two variables, where output value is dependent on input value. A function can be represented by equation, a graph, or table. In its simplest form, function takes input value, performs a specified operation on that value, and produces corresponding output value.
Functions are used to model real-world phenomena, to solve problems, and to analyze and understand complex systems. They are fundamental concept in mathematics and are used in wide variety of fields, like science, engineering, economics, and finance.
The given equation is y = 12/(x + 5), which represents the rational parent function. To identify a correct transformation of the function, we can consider the effect of each transformation on the parent function.
a) Vertical reflection: This transformation would change the sign of the function, resulting in y = -12/(x + 5). This is not the given equation, so it is not a correct transformation.
b) Vertical stretch by 12: This transformation would multiply the function by 12, resulting in y = 12(12/(x + 5)) = 144/(x + 5). This is not the given equation, so it is not a correct transformation.
c) Left 5: This transformation would shift the function to the left by 5 units, resulting in y = 12/(x + 10). This is a correct transformation of the function, as it represents a horizontal shift of 5 units to the left.
d) Down 5: This transformation would shift the function down by 5 units, resulting in y = 12/(x + 5) - 5. This is not the given equation, so it is not a correct transformation.
Therefore, the correct transformation of the rational parent function as described by the given equation is a horizontal shift of 5 units to the left. The answer choice is (c) Left 5.
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The correct transformation of the function on rational parent function as described by the given equation. The correct answer choice is (c) Left 5.
What is Function?A function is mathematical relationship that assigns unique output value for each input value. It describes relationship between two variables, where output value is dependent on input value. A function can be represented by equation, a graph, or table. In its simplest form, function takes input value, performs a specified operation on that value, and produces corresponding output value.
The given equation is y = 12/(x + 5), which represents the rational parent function. To identify a correct transformation of the function, we can consider the effect of each transformation on the parent function.
a) Vertical reflection: This transformation would change the sign of the function, resulting in y = -12/(x + 5). This is not the given equation, so it is not a correct transformation.
b) Vertical stretch by 12: This transformation would multiply the function by 12, resulting in y = 12(12/(x + 5)) = 144/(x + 5). This is not the given equation, so it is not a correct transformation.
c) Left 5: This transformation would shift the function to the left by 5 units, resulting in y = 12/(x + 10). This is a correct transformation of the function, as it represents a horizontal shift of 5 units to the left.
d) Down 5: This transformation would shift the function down by 5 units, resulting in y = 12/(x + 5) - 5. This is not the given equation, so it is not a correct transformation.
Therefore, the correct transformation of the rational parent function as described by the given equation is a horizontal shift of 5 units to the left. The answer choice is (c) Left 5.
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The ratio of boys to girls in a class is 4:5 a)What fraction of the class are boys b) what a fraction of the class are boys!
the fraction of the class that are boys is 4/9. And the fraction of the class that are girls is 5/9.
What is ratio?
A ratio is a comparison of two or more quantities that are related in some way. It expresses the relationship between these quantities in terms of the number of times one quantity contains another. Ratios are usually expressed as a fraction, where the numerator represents the first quantity and the denominator represents the second quantity. For example, the ratio of boys to girls in a class of 40 students may be expressed as 2:3 or 2/3, meaning there are 2 boys for every 3 girls. Ratios can also be expressed in other forms, such as percentages or decimals. Ratios are commonly used in mathematics, science, engineering, and everyday life to compare quantities and make predictions or decisions.
A fraction is a number that represents a part of a whole or a ratio of two quantities. It consists of two numbers, a numerator and a denominator, separated by a line. The numerator represents the number of parts being considered, while the denominator represents the total number of parts in the whole or in the comparison. Fractions are used in many areas, such as mathematics, science, engineering, cooking, and everyday life. They can be added, subtracted, multiplied, and divided, and can be converted to decimals or percentages.
a) The total ratio of boys to girls in the class is 4+5 = 9. Therefore, the fraction of the class that are boys is 4/9.
b) The question is unclear as it seems to be asking for the same answer as in part (a). If you meant to ask for the fraction of the class that are girls, you can use the same approach: the fraction of the class that are girls is 5/9.
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Find an equation of the line described below. Write the equation in slope intercept form( solved for y) when possible through (8,5) and (5,8)
[tex](\stackrel{x_1}{8}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{8}}} \implies \cfrac{ 3 }{ -3 } \implies - 1[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- 1}(x-\stackrel{x_1}{8}) \\\\\\ y-5=-x+8\implies {\Large \begin{array}{llll} y=-x+13 \end{array}}[/tex]
After a certain number of years, the value of an investment account is represented by the equation A(t)=10,250(1+r0.4/12)^120 What is the value of the account?
The equation given is A(t) = 10,250(1 + r 0.04/12)^120. To solve for the value of the account, we need to calculate the right side of the equation. First, we need to calculate the exponent of 1+r 0.04/12. This is equal to 120, so the exponent is 120. Next, we need to multiply 10,250 by the exponent of 1+r 0.04/12. This will give us the value of the account. The answer is 1,895,167.50.
supposed Yins employer will match ip to 6% of Yins contributions to her 401(k). Her starting salary with the company is 50,000 per year. The company allows her to make contributions to her 401(k) up to a maximum of 15% of her salary
If Yin makes the maximum salary contribution to her 401(k), she will have made a total of $7,950.
How do I calculate percentage?Divide the part by the entire and multiply the result by 100 to obtain the percentage. A number can be expressed as a fraction of 100 by using the percentage, in other words.
If, for instance, there were 50 students in the class and 35 of them passed the test, and you want to know what percentage of those students passed the test, you may determine it by using the formula below.
% = (Number of students who passed / Total number of students) x 100 % = (35 / 50) x 100 % = 0.7 x 100 %
Percentage = 0.7 x 100
Percentage = 70%
If Yin may contribute up to 15% of her annual earnings to her 401(k) and her beginning salary is $50,000, her maximum annual contribution would be:
Maximum donation is = 15% of $50,000.
Maximum donation is 0.15 times $50,000.
Maximum annual contribution = $7,500
Given that Yin's company will match up to 6% of her contributions, the maximum amount they might contribute annually is:
6% of $50,000 is the employer's contribution.
Employer contribution equals 0.6 times $50,000.
Annual employer contribution equals $3,000.
Hence, Yin's company will pay an additional $3,000 year if she contributes the maximum of $7,500 to her 401(k). Yin will contribute a total of $10,500 per year to her 401(k) ($7,500 + $3,000). (k).
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999999999999999999999999x696969
Answer:
=6.96969e+29
Step-by-step explanation:
pls answer fast
Eric is observing the velocity of a runner at different times. After one hour, the velocity of the runner is 5 km/h. After three hours, the velocity of the runner is 3 km/h.
Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the runner at different times. Show your work and define the variables used. (5 points)
Part B: How can you graph the equation obtained in Part A for the first 5 hours? (5 points)
(10 points)
Answer:
Step-by-step explanation:
Part A:
Let's assume that the velocity of the runner changes linearly over time. We can use the slope-intercept form of a linear equation, y = mx + b, to describe the velocity of the runner at different times. In this case, the y-axis represents the velocity in km/h and the x-axis represents time in hours. We can define:
y = velocity of the runner in km/h
x = time in hours
The velocity of the runner changes by -2/3 km/h for every hour that passes. This gives us a slope of -2/3. We can use the point-slope form of a linear equation to find the equation of the line:
y - 5 = -2/3(x - 1)
Simplifying this equation, we get:
3y - 15 = -2x + 2
Rearranging to standard form, we get:
2x + 3y = 17
So the equation in two variables in standard form that can be used to describe the velocity of the runner at different times is 2x + 3y = 17.
Part B:
To graph the equation obtained in Part A for the first 5 hours, we can simply plot points for different values of x and y. For example, we can use x = 0, 1, 2, 3, 4, and 5 to find the corresponding values of y using the equation 2x + 3y = 17. Then we can plot these points on a graph and connect them with a straight line.
Here are the values of y for different values of x:
x = 0, y = 17/3
x = 1, y = 5
x = 2, y = 13/3
x = 3, y = 3
x = 4, y = 7/3
x = 5, y = 1
Plotting these points and connecting them with a straight line, we get the graph of the equation 2x + 3y = 17 for the first 5 hours:
|
6.0 -| .
| .
5.5 -| .
| .
5.0 -| .
|.
4.5 -|
|
4.0 -| .
| .
3.5 -| .
| .
3.0 -| .
|.
2.5 -|
|
2.0 -| .
| .
1.5 -| .
| .
1.0 -|.
|
0.5 -|
|
--------------
0 1 2 3 4 5
The y-intercept of the line is 17/3, which represents the initial velocity of the runner at time 0. The slope of the line is -2/3, which represents the rate of change of the velocity over time.
Answer: CLICK THANKS IF YOU LIKE MY ANSWER. HAVE A GOOD DAY SIR/MAAM #KEEPSAFE
Part A:
Let v be the velocity of the runner in km/h and let t be the time elapsed in hours. We can use the two given data points to form a system of two equations:
v = 5 when t = 1
v = 3 when t = 3
To find the equation in standard form, we can first use point-slope form:
v - 5 = m(t - 1) (using the point (1, 5))
v - 3 = m(t - 3) (using the point (3, 3))
Simplifying both equations:
v - 5 = m(t - 1)
v - 3 = m(t - 3)
v = mt + (5 - m)
v = mt + (3m - 3)
Setting the right-hand sides equal to each other:
mt + (5 - m) = mt + (3m - 3)
Simplifying and rearranging:
-m = -2
m = 2
Substituting m = 2 into one of the equations above:
v = 2t + 3
This is the equation in two variables in standard form that describes the velocity of the runner at different times.
Part B:
To graph the equation v = 2t + 3 for the first 5 hours, we can plot points for different values of t and then connect them with a line. For example:
When t = 0, v = 3, so the point (0, 3) is on the line.
When t = 1, v = 5, so the point (1, 5) is on the line.
When t = 2, v = 7, so the point (2, 7) is on the line.
When t = 3, v = 9, so the point (3, 9) is on the line.
When t = 4, v = 11, so the point (4, 11) is on the line.
When t = 5, v = 13, so the point (5, 13) is on the line.
Plotting these points on a coordinate plane and connecting them with a line, we get the graph of the equation v = 2t + 3 for the first 5 hours:
|
15 +-------*
| |
13 + *
| |
11 + *
| |
9 + *
| |
7 + *
| |
5 + *
| |
3 +---------------*-----------*
0 1 2 3 4 5 6 7
The x-axis represents time (t) in hours, and the y-axis represents velocity (v) in km/h. The line starts at (0, 3) and has a slope of 2, indicating that the velocity is increasing by 2 km/h for every hour that passes.
Step-by-step explanation:
HELP! triangle JKL is similar to triangle MNO. Find OM. round your answer to the nearest tenth if necessary
The length of OM, given that the triangles are similar to each other, is calculated as: 14.4.
What are Similar Triangles?Similar triangles are triangles that have the same shape but may have different sizes. They have the same angles, but the lengths of their sides are proportional. This means that corresponding sides of similar triangles are in proportion, and the ratio of their corresponding sides is constant.
Since triangle JKL is similar to triangle MNO, therefore:
JK/MN = JL/MO
Substitute:
5/24 = 3/x
Cross multiply:
5x = 72
5x/5 = 72/5
x = 14.4
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Identify the rate, base, and percent in each statement. Place them in
the correct columns to complete the table.
1) 25 is 25% of 100
2) 15 is 25% of 60
318 is 20% of 90
4) 18 is 30% of 60
5) 20% of 150 is 30
What it is rate?
What it is base?
What it is percentage?
Answer:
In each statement:
The rate is the percentage or ratio that relates the quantity being described to the base.
The base is the total quantity or amount that the rate is applied to.
The percent is the rate expressed as a percentage, or the part of the base that corresponds to the rate.
Make calculations for a 5-year loan of $20,000 with an annual interest rate of 6% compounded monthly. Calculate the balance owed if the loan had to be paid in full at the end of the 5-year period, and no monthly payments were required.
Answer: $28,383.68.
Step-by-step explanation:
The first step is to determine the number of monthly payments over the 5-year period, which is 5 years x 12 months/year = 60 months.
Next, we can use the formula for the future value of an annuity, which is:
FV = P * ((1 + r/n)^(n*t) - 1) / (r/n)
where:
FV is the future value of the loan (the amount owed at the end of the 5-year period)
P is the initial principal amount ($20,000 in this case)
r is the annual interest rate (6%)
n is the number of compounding periods per year (12 for monthly compounding)
t is the total number of years (5)
Plugging in these values, we get:
FV = $20,000 * ((1 + 0.06/12)^(12*5) - 1) / (0.06/12)
FV = $28,383.68
Therefore, the balance owed at the end of the 5-year period would be $28,383.68.
From a hot-air balloon, Brody measures a 39-degree angle of depression to a landmark that’s 532 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.
Using a trigonometric relation we can see that the balloon’s vertical distance above the ground is 430.8ft
What’s the balloon’s vertical distance above the ground?We can see this as a right triangle, such that we know one angle of 39°, and the adjacent cathetus of that angle has a measure of 532 feet, then we can use a trigonometric relation to find the opposite cathetus, which is the height.
tan(a) = (opposite cathetus)/(adjacent cathetus)
Then we can write:
tan(39°) = H/532ft
532ft*tan(39°) = 430.8ft
That is the vertical height.
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A prism is completely filled with 96 cubes that have edge length of 1/2 cm.
What is the volume of the prism?
Thank you for answering ⋄∵₊⁺⧭ʷ⧬⁺₊∵⋄
Answer:
Since the prism is completely filled with 96 cubes that have an edge length of 1/2 cm, we can find the volume of the prism by multiplying the number of cubes by the volume of each cube.
The volume of each cube is (1/2 cm)^3 = 1/8 cm^3.
The number of cubes is 96.
Therefore, the volume of the prism is:
volume = (number of cubes) x (volume of each cube)
volume = 96 x (1/8 cm^3)
volume = 12 cm^3
So, the volume of the prism is 12 cubic centimeters.
PLEAS HELP!!!
Find the volume of the pyramid. Write your answer as a fraction or mixed number.
The volume of the triangular pyramid is 26 2/3 yd³
How to determine the volumeThe formula for calculating the volume of a triangular pyramid is expressed with the equation
A = 1/3bh
Such that the parameters in the equation are;
A is the area of the triangular pyramid.b is the base area of the triangular pyramid.h is the height of the pyramid.The base area of the pyramid is;
Area = 1/2 × 4 × 5
Multiply the values
Base area =20/2
Base area = 10 yd
Substitute the value
Volume = 1/3 × 10 × 8
Multiply the values
Volume = 80/3
Divide the values
Volume = 26 2/3 yd³
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Plss hurry!!! Each row of the table shows two of the interior angle measures of two triangles.
Which triangles are similar?
Choose Similar or Not Similar for each pair of triangles.
Triangles Similar Not Similar
Triangle 1: 80°, 62° Triangle 2: 62°, 38°
Triangle 1: 29°, 47° Triangle 2: 91°, 76°
Triangle 1: 100°, 45° Triangle 2: 25°, 45°
Triangle 1: 80°, 62° Triangle 2: 62°, 38° - Similar
Triangle 1: 29°, 47° Triangle 2: 91°, 76° - Nοt Similar
Triangle 1: 100°, 45° Triangle 2: 25°, 45° - Nοt Similar
What is Similarity οf Triangles?Twο triangles are similar if their cοrrespοnding angles are cοngruent and their cοrrespοnding sides are prοpοrtiοnal, meaning that they have the same shape but nοt necessarily the same size.
Triangles Similar οr Nοt Similar
Triangle 1: 80°, 62° Triangle 2: 62°, 38° - Similar
Triangle 1: 29°, 47° Triangle 2: 91°, 76° - Nοt Similar
Triangle 1: 100°, 45° Triangle 2: 25°, 45° - Nοt Similar
Tο determine if twο triangles are similar, we need tο check if their cοrrespοnding angles are cοngruent and their cοrrespοnding sides are prοpοrtiοnal.
In the first pair οf triangles, the measures οf the twο angles in Triangle 2 are cοrrespοnding angles tο the twο angles in Triangle 1, sο if we subtract the angle measures frοm 180 degrees, we can see that the third angles in bοth triangles are cοngruent:
Angle 1 in Triangle 1 = 80 degrees, Angle 2 in Triangle 1 = 62 degrees, Angle 3 in Triangle 1 = 180 - 80 - 62 = 38 degrees
Angle 1 in Triangle 2 = 62 degrees, Angle 2 in Triangle 2 = 38 degrees, Angle 3 in Triangle 2 = 180 - 62 - 38 = 80 degrees
Since the cοrrespοnding angles are cοngruent, the triangles are similar.
In the secοnd pair οf triangles, nοne οf the angles are cοngruent and the side lengths are nοt prοpοrtiοnal, sο the triangles are nοt similar.
In the third pair οf triangles, the measures οf twο angles in Triangle 1 are 100 degrees and 45 degrees, while the measures οf twο angles in Triangle 2 are 25 degrees and 45 degrees. The angles are nοt cοngruent, sο the triangles are nοt similar.
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Find the Volume of the rectangular prism
Answer:
421.875 ft³
Step-by-step explanation:
Since the length, width, and heigh are equal, this is a cube.
V = s³
V = (7.5 ft)³
V = 421.875 ft³
Answer:421.875 ft^3
Step-by-step explanation:
Point GG is located at (-3,6)(-3,6) on the coordinate plane. Point GG is reflected over the xx-axis to create point G'G ′ . Point G'G ′ is then reflected over the yy-axis to create point G''G ′′ . What ordered pair describes the location of G''?G ′′ ?
For given coordinates, the ordered pair describing the location of G'' is (3,-6).
What are coordinates?
Coordinates are a set of numbers that specify the position or location of a point or object in space, relative to a reference point or system. In two-dimensional space, coordinates are usually represented by a pair of numbers (x, y), where the first number represents the horizontal position of the point along the x-axis, and the second number represents the vertical position of the point along the y-axis. In three-dimensional space, coordinates are usually represented by a triple of numbers (x, y, z), where the first number represents the horizontal position of the point along the x-axis, the second number represents the vertical position of the point along the y-axis, and the third number represents the position of the point along the z-axis, which is perpendicular to the x-y plane.
Now,
When a point is reflected over the x-axis, the y-coordinate is negated. So the image of G(-3,6) over the x-axis is G'(-3,-6).
When a point is reflected over the y-axis, the x-coordinate is negated. So the image of G'(-3,-6) over the y-axis is G''(3,-6).
Therefore, the ordered pair describing the location of G'' is (3,-6).
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i already have the chart filled out i just need some help with the conclusion
.
.chart:
Location
Timeline
Human Impact Measurements
Recommendation to Decrease Human Impact
New York City
Water Pollution
(in parts per million)
50 years ago
625ppm
create gardens on all of the rooftops
Present Day
893ppm
Future Development Impact
843ppm
Amazon Rainforest
Levels of CO2
(in parts per million)
50 years ago
CO2 levels: 318 ppm
Limit the amount of timber that can be removed per year
Present Day
CO2 levels: 402 ppm
Future Development Impact
CO2 levels: 378 ppm
Sahara Desert
Loss of land by Erosion
(in meters)
50 years ago
Erosion: 1.2 meters
Build better enclosures to decrease overgrazing by livestock
Present Day
Erosion: 3.5 meters
Future Development Impact
Erosion: 2.6 meters
.Conclusion:
Your conclusion will include a summary of the lab results and an interpretation of the results. Please write in complete sentences.
.
When recommending solutions to decrease human impact, which location were you able to make the greatest positive impact? Please explain your selection by using data from the simulation.
.
What recommendations would you give to your local community to help to decrease the local effects of human impact on the environment? List 2 recommendations and how they will positively impact your community.
.
What recommendations would you give to the global governments to help decrease the global effects of human impact on the environment? List 2 recommendations and how they will positively impact our planet.
tell me if i missed anything! and please give me good answers!
This report highlights the impact of human activity on three different locations: New York City, the Amazon Rainforest, and the Sahara Desert. The measurements were taken 50 years ago, in the present day, and the predicted future development impact.
## New York City
Water pollution in parts per million (ppm) was measured in New York City. Fifty years ago, the water pollution was 625ppm, and presently, it has increased to 893ppm. The predicted future development impact is 843ppm. To decrease human impact on this location, it is recommended to create gardens on all of the rooftops. The plants will help absorb some of the pollutants and reduce runoff into waterways.
## Amazon Rainforest
CO2 levels in parts per million (ppm) were measured in the Amazon Rainforest. Fifty years ago, the CO2 levels were 318ppm, and presently, it has increased to 402ppm. The predicted future development impact is 378ppm. To decrease human impact on this location, it is recommended to limit the amount of timber that can be removed per year. The Amazon Rainforest is often referred to as the "lungs of the planet" due to its ability to absorb carbon dioxide and produce oxygen. By limiting deforestation, the amount of carbon dioxide released into the atmosphere will decrease, and the rainforest will continue to produce oxygen, benefiting both the local and global environment.
## Sahara Desert
The loss of land by erosion in meters was measured in the Sahara Desert. Fifty years ago, the erosion was 1.2 meters, and presently, it has increased to 3.5 meters. The predicted future development impact is 2.6 meters. To decrease human impact on this location, it is recommended to build better enclosures to decrease overgrazing by livestock. Overgrazing leads to soil compaction, which makes it difficult for vegetation to grow and prevents the soil from holding water. By implementing better enclosures, the livestock will be limited to a smaller area, allowing the vegetation to recover and hold the soil in place.
## Conclusion
In conclusion, all three locations experienced an increase in human impact over the years. By analyzing the data, the location that could benefit the most from decreasing human impact is the Amazon Rainforest. Limiting the amount of timber that can be removed per year will have a positive impact on this location. However, it is important to continue monitoring all three locations to ensure that the human impact is decreasing and not increasing.
## Recommendations for Local Communities
To decrease the local effects of human impact on the environment, two recommendations are:
1. Reduce the use of single-use plastics, such as straws and bags, to decrease pollution. Single-use plastics are a major source of pollution in our oceans, and by reducing our reliance on them, we can help reduce the amount of plastic that ends up in our waterways.
2. Plant more trees and vegetation to increase the amount of oxygen in the air. Trees and plants produce oxygen through photosynthesis, which helps clean the air we breathe. By planting more trees and vegetation in our communities, we can help reduce the amount of pollution in the air and create a healthier environment for ourselves and future generations.
## Recommendations for Global Governments
To decrease the global effects of human impact on the environment, two recommendations are:
1. Invest in renewable energy sources, such as solar and wind power, to decrease the use of fossil fuels. Fossil fuels are a major contributor to greenhouse gas emissions, which are responsible for climate change. By investing in renewable energy sources, we can decrease our reliance on fossil fuels and reduce our carbon footprint.
2. Implement policies to decrease deforestation and promote reforestation to decrease the loss of wildlife habitats and increase the amount of oxygen in the air. Deforestation is a major contributor to climate change, as it releases carbon dioxide into the atmosphere and reduces the amount of oxygen produced by trees. By implementing policies to decrease deforestation and promote reforestation, we can help mitigate the effects of climate change and create a healthier environment for all living beings.
Find the value of X.
The value of x such that x - 4 and 2x + 1 are angles on a line is 61
Calculating the value of xx - 4 and 2x + 1 are angles on a line.
Using the theorem of sum of angles on a line that states that:
When two angles are on a line, they add up to 180 degrees.
So we have:
x - 4 + 2x + 1 = 180
Simplifying and solving for x:
3x - 3 = 180
So, we have
3x = 183
Divide both sides by 3
x = 61
Therefore, x = 61 is the value that makes x - 4 and 2x + 1 angles on a line.
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Lee watches TV for 4 hours per day. During that time, the TV consumes 200 watts per hour. Electricity costs (12 cents)/(1 kilowatt-hour). How much does Lee’s TV cost to operate for a month of 30 days?
The cost to operate Lee's Tv is 2.88 dollars.
How to find the cost to operate for a month?Lee watches TV for 4 hours per day. During that time, the TV consumes 200 watts per hour. Electricity costs (12 cents)/(1 kilowatt-hour).
Therefore, the cost for Lee to operate in 30 days can be calculated as follows:
200 watt = 0.2 kilowatt
Therefore,
1 day = 4 hours
30 days = ?
cross multiply
number of hours = 120 hours.
Therefore, in 30 days he watches television for 120 hours.
Let's find the cost
0.12 dollars = 12 cent
1 hour = 0.2 kilowatt
120 hours =
kilowatt use in 30 days = 0.2 × 120 = 24 kilowatts
Therefore,
1 kilowatts = 0.12 dollars
24 kilowatts = ?
cost of Tv for a month of 30 days = 24 × 0.12
cost of Tv for a month of 30 days = 2.88 dollars
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Describe the series of transformations which transforms f left parenthesis x right parenthesis equals x squared onto f left parenthesis x right parenthesis equals x squared minus 6 x plus 18.
f(x) = [tex]x^{2}[/tex] -> f(x) = [tex]x^2[/tex] - 18 (translation) -> f(x) = [tex](x-3)^2[/tex] - 18 (horizontal translation) -> f(x) = -6[tex](x-3)^2[/tex] + 18 - 6x (vertical stretching)
how to transform given function?To transform the function f(x) =[tex]x^{2}[/tex] into f(x) = [tex]x^{2}[/tex] - 6x + 18, we need to apply a series of transformations. Here are the steps:
Translation: We need to shift the graph of f(x) = [tex]x^{2}[/tex] down by 18 units to obtain f(x) = [tex]x^{2}[/tex] - 18. This can be done by subtracting 18 from the function, which results in f(x) = [tex]x^2[/tex]- 18.
Horizontal translation: Next, we need to shift the graph of f(x) = [tex]x^{2}[/tex] - 18 to the right by 3 units to obtain f(x) =[tex](x-3)^2[/tex] - 18. This can be done by replacing x with (x-3) in the function, which results in f(x) =[tex](x-3)^2[/tex]- 18.
Vertical stretching: Finally, we need to vertically stretch the graph of f(x) = [tex](x-3)^2[/tex] - 18 by a factor of -6 to obtain f(x) = [tex](x-3)^2[/tex] - 6x + 18. This can be done by multiplying the function by -6, which results in f(x) = -6[tex](x-3)^2[/tex] + 18 - 6x.
So, the series of transformations required to transform f(x) = [tex]x^{2}[/tex] into f(x) = [tex]x^{2}[/tex] - 6x + 18 is:
f(x) = [tex]x^{2}[/tex] -> f(x) =[tex]x^{2}[/tex] - 18 (translation) -> f(x) =[tex](x-3)^2[/tex] - 18 (horizontal translation) -> f(x) = -6[tex](x-3)^2[/tex]+ 18 - 6x (vertical stretching)
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Parts of similar triangles
Find x
In Δ PRQ, The value of the missing variable x is 4.8.
What is the triangle area formula?Calculating the area οf a triangle. Use the fοrmula area = 1/2 * base * height tο calculate the area οf a triangle. Select a side tο serve as the base and calculate the triangle's height frοm that pοint.
Cοrrespοnding sides in similar triangles are prοpοrtiοnal. As a result, using the infοrmatiοn prοvided, we can calculate the fοllοwing prοpοrtiοn:
As Δ PQS ≅ Δ PRQ
Then according to CPCT
PQ ≅ PR
and
PS ≅ PQ
Then we have
7 ≅ 5+ x
5 ≅ 7
Then
[tex]$ \frac{7}{5 + x} = \frac{5}{7}[/tex]
Cross multiply
[tex]$ \frac{7}{5 + x} = \frac{5}{7}[/tex]
7 × 7 = 5(5+ x)
49 = 25 + 5x
49 - 25 = 5x
24 = 5x
x = 24/5
x = 4.8
Thus, In Δ PRQ, The value of the missing variable x is 4.8.
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Complete question:
Parts of similar triangle are given as the Δ PQS ≅ Δ PRQ. Find the value of x.
Rewrite the two equations in the form (x−p)^2=q.
0=x^2-10x+10
x^2+26x+167.5=0
Answer:
(x - 5)^2 = 15 and (x + 13)^2 = 3
Step-by-step explanation:
Sure, I can help you with that.
Let's start with the first equation:
0 = x^2 - 10x + 10
To rewrite this equation in the form (x - p)^2 = q, we need to complete the square.
First, let's factor out the coefficient of x^2:
0 = 1(x^2 - 10x + 10)
Next, we want to add and subtract a value that will allow us to complete the square inside the parentheses. In this case, we will add and subtract (10/2)^2 = 25:
0 = 1(x^2 - 10x + 25 - 25 + 10)
Now we can rearrange the terms inside the parentheses and simplify:
0 = 1((x - 5)^2 - 15)
Finally, we can rewrite the equation in the desired form by adding 15 to both sides:
15 = (x - 5)^2
So the first equation in the form (x - p)^2 = q is:
(x - 5)^2 = 15
Now let's move on to the second equation:
x^2 + 26x + 167.5 = 0
Again, we need to complete the square to rewrite this equation in the form (x - p)^2 = q.
First, let's factor out the coefficient of x^2:
x^2 + 26x + 167.5 = 1(x^2 + 26x + 167.5)
Next, we want to add and subtract a value that will allow us to complete the square inside the parentheses. In this case, we will add and subtract (26/2)^2 = 169:
x^2 + 26x + 167.5 = 1(x^2 + 26x + 169 - 169 + 167.5)
Now we can rearrange the terms inside the parentheses and simplify:
x^2 + 26x + 167.5 = 1((x + 13)^2 - 1.5)
Finally, we can rewrite the equation in the desired form by adding 1.5 to both sides:
1.5 = (x + 13)^2 - 1.5
So the second equation in the form (x - p)^2 = q is:
(x + 13)^2 = 3
An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $5150 and her stock in Company B was worth $5250. The stock in Company A has increased 24% since last year and the stock in Company B has increased 20%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).
the total percentage increase in the investor's stock account is 22%.
How much is a percentage?In mathematics, a ratio or figure that can be expressed as a fraction of 100 is known as a percentage. If we want to calculate a percentage of a number, we should split it by 100 before multiplying it by the original number. Therefore, the percentage relates to a component per 100. The term percent means "per 100". It is represented by the symbol "%". In mathematics, a percentage is a number or ratio that is represented as a fraction of 100. Although "pct," "pct," and occasionally "pc" are also used as abbreviations, the percent symbol "%" is most commonly used to denote it. A percentage is a number that has neither measurements nor a defined unit of measurement.
In the given question,
Increase in stock A= 24% of $5150 = 1236
Increase in stock = 20% of $5250 = 1050
The total percentage increase in the investor's stock account= {(1236+1050)/(5150+5250)* 100=
= 21.98%
≈22%
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A line passes through points
(8, - 2) and
(-5, 7). Which ratio can be used to determine the slope of the line?
7+2/
8+5
7-2/
-5-8
8+5/
-2+7
7+2/
-5-8
A ratio that can be used to determine the slope of this line include the following: D. [tex]\frac{7\;+\;2}{-5\;+\;-8}[/tex]
How to calculate the slope of a line?In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
By substituting the given data points into the slope formula, we have the following;
Slope (m) = (7 - (-2))/(-5 - 8)
Slope (m) = (7 + 2)/(-5 - 8) ⇒ (Required ratio)
Slope (m) = 9/-13
Slope (m) = -0.6923.
In this context, we can reasonably infer and logically deduce that the slope of this line is equal to -9/13 or -0.6923.
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What is the image of the point (-3 , 14) after a counterclockwise rotation about the origin through an angle of 90 degrees?
Let the region R be the area enclosed by the function f(x) = ln (x) + 1 and
g(x)=x-1. If the region R is the base of a solid such that each cross section
perpendicular to the a-axis is a semi-circle with diameters extending through the
region R, find the volume of the solid. You may use a calculator and round to the
nearest thousandth.
The volume of the solid is 7.58 thousandths when rounded to the nearest thousandth.
What is area?Area is a measure of the size of a given space or the amount of a given surface. It can be measured in square feet, square meters, acres, hectares, and other units. Area can be used to describe the size of a two-dimensional shape or the surface area of a three-dimensional object. Area can also be used to calculate the amount of material needed to cover a given space, such as for a roof, carpet, or other covering.
To find the volume of the solid, we will use the following formula:
V=∫baπ(y2−(x−1)2)dx
Where b is the upper bound of the integral, a is the lower bound of the integral and y is the height of the solid.
Since the region R is the base of the solid, we can set a = 0 and b = 2, since this is the x-value at which the two functions intersect. Additionally, we can set y = ln(x) + 1 since this is the height of the solid.
Therefore, the volume of the solid is:
V = ∫02π(ln(x)2 + 12 − (x−1)2)dx
Calculating the integral, we get:
V = [π(xln(x)2 + x − 2xln(x) − x + 1)]02
Substituting the bounds of the integral, we get:
V = [π(22ln(2)2 + 2 − 4ln(2) − 2 + 1)] − [π(02ln(0)2 + 0 − 2ln(0) − 0 + 1)]
Simplifying the equation, we get:
V = π(ln(2)2 + 1 − 2ln(2))
Finally, substituting the value of ln(2) into the equation, we get:
V = 3.14159 (2.386294 + 1 − 4.772188) ≈ 7.58 thousandths
Therefore, the volume of the solid is 7.58 thousandths when rounded to the nearest thousandth.
In conclusion, the volume of the solid whose base is the region R and each cross section perpendicular to the a-axis is a semicircle is 7.58 thousandths when rounded to the nearest thousandth. This was calculated by integrating the equation V=∫baπ(y2−(x−1)2)dx with the bounds of integration a=0 and b=2 and the height of the solid y=ln(x)+1.
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HELP!!!! IM GOING TO FAIL!!!
Answer10 toooooooooooo the third poewedd
Step-by-step explanation:
Aniyah has 23 cups of oats in one container. She has 4 cups of oats another container. How many cups of cats does she have in total?
Answer:
27 cups of oats
Step-by-step explanation:
23
+ 4=27
Ezra works two summer jobs to save for a laptop that costs at least $1100 he charges $15/hr to mow lawns and $10 an hour to walk dogs. Recall the inequality that represents this situation: 15x + 10y >_ 110
is (60,20) a solution? How do you know? What does this power represent?
Answer:
The inequality that represents this situation is 15x + 10y ≥ 1100, since Ezra needs to earn at least $1100 to buy the laptop.
To check if (60, 20) is a solution to this inequality, we need to substitute x = 60 and y = 20 into the inequality and see if it is true:
15(60) + 10(20) ≥ 1100
900 + 200 ≥ 1100
1100 ≥ 1100
Since 1100 ≥ 1100 is true, this means that (60, 20) is a solution to the inequality. This means that if Ezra works 60 hours mowing lawns and 20 hours walking dogs, he will earn enough money to buy the laptop.
The point (60, 20) represents the combination of hours worked for mowing lawns (x) and walking dogs (y) that will result in Ezra earning enough money to buy the laptop. The x and y values are the inputs or variables, while the inequality 15x + 10y ≥ 1100 is the constraint that must be satisfied. The solution (60, 20) is the output or result of the system of inequalities, and represents the combination of hours worked that will satisfy the constraint.
Majesty Video Production Inc. wants the mean length of its advertisements to be 35 seconds. Assume the distribution of ad length follows the normal distribution with a population standard deviation of 2 seconds. Suppose we select a sample of 14 ads produced by Majesty.
a. The shape οf the distributiοn οf the sample mean time is nοrmal.
b. The standard error is 0.5345.
What is the standard deviatiοn?Standard deviatiοn is: It is a measure οf hοw spread οut numbers are. It is the square rοοt οf the Variance, and the Variance is the average οf the squared differences frοm the Mean.
Given that:
μ =35
σ = 2
n = 14
a. The shape of the distribution of the sample mean time is normal.
b. To calculate the standard error of the mean time, we would apply this formula,
Standard error :
[tex]$ \rm SE = \frac{ \sigma}{\sqrt{(n)} }[/tex]
[tex]$ \rm SE = \frac{ 2}{\sqrt{(14)} }[/tex]
SE = 0.5345
Thus, the standard error is 0.5345.
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Complete question:
Majesty Videο Prοductiοn Inc. wants the mean length οf its advertisements tο be 30 secοnds. Assume the distributiοn οf ad length fοllοws the nοrmal distributiοn with a pοpulatiοn standard deviatiοn οf 2 secοnds. Suppοse we select a sample οf 16 ads prοduced by Majesty.
a. What can we say abοut the shape οf the distributiοn οf the sample mean time?
b. What is the standard error of the mean time?