Answer:
The true statements are:
x + y = 90
x + y + 2z = 180
We have no information about x and y.
PLEASE HELP 75 POINTS!!!
Pick ONE of the following numbers from each category:
Category A 2√5 3√2 2√3
Category B √8 √10 √12
Category C -√6 -√3 -√11
Category D -2√2 -3√3 -2√8
Approximate the square root terms using the perfect squares approximation method, for your selection from Category A above. Your answer should be a mixed fraction. Make sure to show your work.
Insert->Equation will give you access to the special formatting
Approximate the square root terms using the perfect squares approximation method, for your selection from Category B above. Your answer should be a mixed fraction. Make sure to show your work.
Insert->Equation will give you access to the special formatting
Approximate the square root terms using the perfect squares approximation method, for your selection from Category C above. Your answer should be a mixed fraction. Make sure to show your work.
Insert->Equation will give you access to the special formatting
Approximate the square root terms using the perfect squares approximation method, for your selection from Category D above. Your answer should be a mixed fraction. Make sure to show your work.
Insert->Equation will give you access to the special formatting
Plot your approximations on the provided Number Line below.
Insert->Shape->Line will allow you to draw lines .
Answer:
Part A, Convert selection for Category A)
Part B, Convert selection for Category B)
Part C, Convert selection for Category C)
Part D, Convert selection for Category D)
Part E)
The mixed fraction approximation for the given terms using the perfect squares method are:
2√(4)√(5/4)3√(1)√(2/1)2√(1)√(3/1)How do we approximate the square roots using the perfect squares?To approximate the square roots using the perfect squares method, we need to find the largest perfect square that is less than each of the given terms, and then simplify.
For 2√5:
The largest perfect square less than 5 is 4, so we can write 2√5 as 2√(4)√(5/4).
Simplifying, we get:
2√(4)√(5/4)
= 2(2)√(5/4)
= 4√(5/4)
= 4√5/√4
= 4√5/2
= 2√5.
For 3√2:
The largest perfect square less than 2 is 1, so we can write 3√2 as 3√(1)√(2/1).
Simplifying, we get:
3√(1)√(2/1)
= 3(1)√(2/1)
= 3√2/√1
= 3√2.
For 2√3:
The largest perfect square less than 3 is 1, so we can write 2√3 as 2√(1)√(3/1).
Simplifying, we get:
2√(1)√(3/1)
= 2(1)√(3/1)
= 2√3/√1
= 2√3.
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PLEASE HURRY
Which math ratio represents efficiency?
A). Fi x do/Fo x di
B). Fo x di/Fi x do
C). Fi x di/Fo x do
D). Fo x do/Fi x di
The math ratio that represents efficiency is option D). Fo x do / Fi x di.In this ratio:Fi represents the input force or input quantity.di represents the input distance or input time.Fo represents the output force or output quantity.do represents the output distance or output time.Efficiency is typically calculated by comparing the output to the input. In the case of mechanical systems, it is often measured as the ratio of output work or energy to input work or energy.Therefore, the ratio Fo x do / Fi x di represents the output work or energy divided by the input work or energy, which is commonly used to determine efficiency in various contexts.
help me thank you if u did i forgot
Answer:
790,000
Step-by-step explanation:
The 5 represents the number by itself so it would be
10x10x10x10x10=100,000
7.9x100,000=790,000
Step-by-step explanation:
if you multiply something by 10 = 10¹, you move the decimal point 1 position to the right (and fill up with a 0, if necessary).
if you multiply something by 100 = 10², you move the decimal point 2 positions to the right (and fill up with 0s as needed).
if you multiply something by 1000 = 10³, you move the decimal point 3 positions to the right (and fill up with 0s as needed).
...
you see the pattern ?
so, when multiplying by 10⁵ (100,000) we shift the decimal point 5 pairings to the right and fill up with 0s as needed.
therefore,
7.9 × 10⁵ = 790,000.-
Which of the following equations represents a linear function?
x = −2
y = 5x − 6
y equals negative one fifth times x squared
−3x + 2 = 4
Answer:
The equation that represents a linear function is:
y = 5x - 6
Step-by-step explanation:
This equation has a constant rate of change, which means that for every unit increase in x, there is a consistent and constant increase or decrease in y. This is a characteristic of linear functions, where the relationship between x and y is a straight line.
y = 5x - 6 is represents a linear function.
What is a linear function?
A linear function is a type of function in which the highest power of x is one. The graph of a linear function has only one solution, and intercept x - axis at only one point and intercepts y - axis at only one point as well.
Generally, the equation of a linear function is given as;
y = mx + c
where;
m is the slope of the graphc is the y intercept of the graphThe graph of a linear function is usually directly proportional, either increasing or decreasing.
From the options, only the function, y = 5x - 6 is a linear function.
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Evaluate the expression when x=2.
x^2-6x+3
Answer:
Step-by-step explanation:
I think its -5
Answer:x = 3 x = 1/2
Step-by-step explanation:
1. Simplify the expression by dividing both sides by the same factor.
x = 2x² -7x + 3 = 0
2x² - 7x + 3 = 0
2. Use the quadratic formula
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
3. Simplify
1. Evaluate the exponent
2. Multiply the numbers
3. Subtract the numbers
4. Evaluate the square root
5. Multiply the numbers
6. Separate the equations
To solve for the unknown variable, separate it into two equations: one with a plus and the other with a minus.
7. Solve
Rearrange and isolate the variable to find each solution
Two rectangles are in a proportional relationship. The scale factor for sizing up rectangle A to the size of rectangle B is 5/2. The length of rectangle A is 6 m and the width is 4 m. Find the area of rectangle B. (A=l∙w)
Answer:
Answer is option B
Step-by-step explanation:
48:6=8:1. applies to 64:8=8:1
Answer:b
Step-by-step explanation:
Which of the following sets of ordered pairs represents a function?
A: {(−4, −3), (−2, −1), (−2, 0), (0, −2), (0, 2)}
B: {(−5, −5), (−5, −4), (−5, −3), (−5, −2), (−3, 0)}
C: {(−4, −5), (−4, 0), (−3, −4), (0, −3), (3, −2)}
D: {(−6, −3), (−4, −3), (−3, −3), (−2, −3), (0, 0)}
Answer:
A set of ordered pairs represents a function if each input (first coordinate) corresponds to one and only one output (second coordinate). In other words, there can't be two different second coordinates for the same first coordinate.
Using this definition, we can determine which of the sets of ordered pairs represents a function:
A: {(-4, -3), (-2, -1), (-2, 0), (0, -2), (0, 2)}
The input -2 has two different outputs (-1 and 0), and the input 0 also has two different outputs (-2 and 2). Therefore, this set does not represent a function.
B: {(-5, -5), (-5, -4), (-5, -3), (-5, -2), (-3, 0)}
The input -5 has four different outputs (-5, -4, -3, and -2), but each of the other inputs has only one output. Therefore, this set does not represent a function.
C: {(-4, -5), (-4, 0), (-3, -4), (0, -3), (3, -2)}
The input -4 has two different outputs (-5 and 0), but each of the other inputs has only one output. Therefore, this set does not represent a function.
D: {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}
Each input has only one output, so this set represents a function.
Therefore, the set of ordered pairs that represent a function is D: {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}.
A product-testing group compares two brands of trail mix to determine the number of raisins per ounce of mix. Two pounds of each brand's mix is separated into 32 one-ounce servings. The medians of the data distributions for Brand a and Brand B are -- Responses: A-equivalent to 12. B-greater than 12. C- less than 12. D- unable to be determined from the graph.
The data distribution for brand A is slightly skewed left while the data distribution for brand B is close to symmetric.
The medians of the data distributions for Brand A and Brand B are: greater than 12
How to identify the distribution pattern?Some of the terms in normal distribution spread are:
Right skewed: This is clearly where the mean is greater than the median. The mean overestimates the most common values in a positively skewed distribution.
Left skewed: This is clearly where the mean is less than the median.
Symmetric: In a symmetrical distribution, the mean, median, and mode are all equal.
1) Brand A distribution is left skewed because because there is a cluster of data on the right side
Brand B distribution is symmetric
2) The median of brand A will be the 16th and 17th dots which gives us:
(12 + 14)/2 = 13
Meanwhile, the median of brand B is:
(11 + 13)/2 = 12
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Brody calculated the area of a square to be 16/36
square foot.
Which shows the side length of the square?
Answer:
Step-by-step explanation:
Area of a square = length²
If the area of a square is given, in order to determine the length, find the square root of the area.
√16 / 36 = 4/6 foot
can yall help me with this 4s+17<9
Answer: s < -2
Step-by-step explanation: To find 'S', read the following steps below
First, you're going to subtract 17 from 17 and 9,
you will end up with this equation: 4s<-8
Then, you will divide 4 by 4, leaving the variable by itself, and divide -8 by 4.
Your answer is s < -2Sorry if you don't understand my explanation, I tried my best :)
Answer:I show u on paper
Step-by-step explanation:hope this helps
First you isolate the instead of 4s+17<9 you have 4s<9-17
Next you get 4s<-8
Then you now divide so you get s< -8÷4 which is -2
Use the graph to answer the question.
Determine the direction and degree of rotation used to create the image.
90° clockwise rotation
90° counterclockwise rotation
270° counterclockwise rotation
180° clockwise rotation
Answer:
90° counterclockwise rotation
A football kicker attempted to make field goals from different distances from the goal post. The relationship between the distance from the goal post and the number of field goals made is shown in the scatter plot.
Which of the following tables of data represents the scatter plot in the image of the answers below?
Answer: D)
Step-by-step explanation:
Look at the data table then look at the scatterplot to see if the values line up.
10 field goals, 15 yards distance from the Goal Post.
9 field goals, 20 yards distance from the Goal Post.
10 field goals, 25 yards distance from the Goal Post.
11 field goals, 30 yards distance from the Goal Post.
And so on...
How much liquid does this cup contain?
A. Between 1/3 cups and 1/2 cups B. Between 1/2 cups and 2/3 cups C. Between 2/3 cups and 5/6 cups D. Between 5/6 cups and 1 cups
Find the 25th term.
2, 10, 18, 26, 34, ...
25th term = [?]
an = a1 + (n - 1)d
Substituting the values
an = 2 + (n - 1)8
We have to find the 25th term n = 25
a25 = 2 + (25 - 1)8
a25 = 2 + (24)8
a25 = 2 + 192
a25 = 194
======================================================
Explanation:
The gap between adjacent terms is 8.
2+8 = 1010+8 = 1818+8 = 2626+8 = 34etcThe long way to get the answer would be to keep adding 8 to each term to generate the next one. You'd need to do this 20 times. There are 5 terms here already, so you need 25-5 = 20 more operations of "add 8".
I don't recommend this option. I recommend the shortcut mentioned in the next section.
--------
The shortcut would be to find the nth term of the arithmetic sequence
[tex]a_1 = 2 = \text{ first term}\\\\d = 8 = \text{ common difference}\\\\a_n = \text{ nth term}\\\\a_n = a_1 + d(n-1)\\\\a_n = 2 + 8(n-1)\\\\[/tex]
As a check, plug n = 1 into that formula to get [tex]a_1 = 2[/tex]. Plug n = 2 to get [tex]a_2 = 10[/tex] and so on. I'll leave this check portion for the student to do.
--------
The last step is to plug n = 25 into that formula to determine the 25th term.
[tex]a_n = 2 + 8(n-1)\\\\a_{25} = 2 + 8(25-1)\\\\a_{25} = 2 + 8(24)\\\\a_{25} = 2 + 192\\\\a_{25} = 194\\\\[/tex]
The final answer is 194-------
Extra section (optional):
We can use a spreadsheet to generate the 25 terms. This is to help check the answer.
2, 10, 18, 26, 34, 42, 50, 58, 66, 74, 82, 90, 98, 106, 114, 122, 130, 138, 146, 154, 162, 170, 178, 186, 194
Point A, located at (5, -4) is reflected in the y-axis, resulting in the location of point A'. Which of the following statements is true?
Point A' is located at (-5,-4)
Point A' is located at (-5,4)
Point A is located at (4,5)
Point A' is located at (-4,5)
The correct answer is Point A' is located at (-5, -4).
When a point is reflected in the y-axis, its x-coordinate is negated and its y-coordinate remains the same. Therefore, the x-coordinate of point A changes from +5 to -5, and the y-coordinate remains -4. Hence, the coordinates of A' are (-5, -4).
Answer my other questions, get brainliest!
Triangle ABC with vertices at A(4, 3), B(3, −2), C(−3, 1) is dilated using a scale factor of 1.5 to create triangle A′B′C′. Determine the vertex of point A′.
A: A′(−6, 4.5)
B: A′(4, 4.5)
C: A′(6, 3)
D: A′(6, 4.5)
Simplify:
13a^2 + 14 - 17a - 12a^2 + 6a - a^2
answer choices;
A.) a - 14
B.) a + 14
C.) -9a^2 + 14
D.) -9a^2 - 5a - 14
Answer:
B
Step-by-step explanation:
Please help on this question :)
Answer:
15 cm × 9.5 cm = 142.5 square cm
Answer:
The area of the given figure is 142.5 sq. cm.
Step-by-step explanation:
The area of a parallelogram is given by the base multiplied by the height. The base in the given figure is 15 cm whereas the height is 9.5 cm.
15 × 9.5 equals 142.5
Hence, the area is 142.5 sq. cm.
John puts $70 in a savings account that earns 6% annually. The interest is not compounded. How many years will it take John to make at least $100 in interest?
Answer:
24 years
Step-by-step explanation:
If interest is not compounded, it is called simple interest.
Simple interest is calculated as a percentage of the principal amount and is applied only to the principal.
The formula for simple interest is:
[tex]\boxed{\sf I = Prt}[/tex]
where:
I = Total interest earned.P = Principal amount.r = Interest rate (in decimal form).t = Time (in years).The given values are:
I = $100P = $70r = 6% = 0.06Substitute the given values into the formula and solve for t:
[tex]\implies \sf 100=70 \cdot 0.06 \cdot t[/tex]
[tex]\implies \sf 100=4.2 t[/tex]
[tex]\implies \sf 4.2 t=100[/tex]
[tex]\implies \sf \dfrac{4.2 t}{4.2}=\dfrac{100}{4.2}[/tex]
[tex]\implies \sf t=23.8095238...\;years[/tex]
We need to round up to the next year. Therefore, it will take 24 years for John to make at least $100 in interest.
Answer:
approx. 24 years
Step-by-step explanation:
The formula to find the simple interest is:
[tex]\sf I= \frac{prt}{100}[/tex]
Here,
I ⇒ Interest ⇒ $ 100
p ⇒ principle ⇒ $ 70
r ⇒ rate ⇒ 6
t ⇒ time ( years )
Let us find the time taken using the formula.
[tex]\sf I= \frac{prt}{100}\\\\100=\frac{70*6*t}{100} \\\\100*100=420t\\\\10000=420t\\\\23.8\: years=t\\\\approx. \:24 \:years=t[/tex]
Use the graph to answer the question.
Determine the translation used to create the image.
5 units to the right
5 units to the left
2 unit to the right
2 unit to the left
Carl sells snow cones at a baseball park. The graph shows the amount of ice used for the snow cones, in pounds, over a certain amount of time, in minutes.
Which of the following describes the graph?
Carl had 1 pound of ice after 2 minutes, used 8 pounds every minute for 4 minutes, and then used 3 pounds each minute for 6 minutes.
Carl had 2 pounds of ice after 8 minutes, used 8 pounds every minute for 4 minutes, and then used one half pound each minute for 6 minutes.
Carl had 4 pounds of ice after 1 minute, didn't use any ice for 4 minutes, and then used 2 pounds each minute for 6 minutes.
Carl had 8 pounds of ice after 2 minutes, didn't use any ice for 4 minutes, and then used one half pound each minute for 6 minutes.
Answer: It is D. Carl had 8 pounds of ice after 2 minutes, didn't use any ice for 4 minutes, and then used one half pound each minute for 6 minutes.
Step-by-step explanation:
Help would be appreciated
Answer:
1.5 miles less
Step-by-step explanation:
Step 1: Find equation for Alexanda
We can see from Fabian's equation that there is a linear relationship between miles (y) and gallons (x).Fabian's equation is in the slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. Although we're not given the equation for Alexandra, we can find it using the slope formula, which is[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
If we allow (8, 345.6) to be our x1 and y1 and (12, 518.4) to be our x2 and y2, our slope is
[tex]m=\frac{(518.4-345.6)}{(12-8)}\\ m=\frac{172.8}{4}\\ m=43.2[/tex]
Now, we must find the y-intercept by plugging in 43.2 for m, 8 for x, and 345.6 for y into the general slope-intercept form and solving for b:[tex]345.6=43.2(8)+b\\345.6=346.6+b\\0=b[/tex]
Thus, the equation for Alexandra is y = 43.2x
Step 2: Plug in 1 for x for both Fabian and Alexandra's equations and subtract
Since x is is gallons, we plug in 1 for x for each equation and subtract Fabian's miles from Alexandra's miles to find how many miles less can Fabian drive one 1 gallon of gas than Alexandra:
Fabian: y = 41.7(1) = 41.7
Alexandra: y = 43.2(1) = 43.2
Difference of Alexandra and Fabian's miles: 43.2 - 41.7 = 1.5
i need EXTRA help with this PLEASE AND THANK YOU!
A grocery store receives a crate with contents that weigh 180 pounds. The contents consist of six 10-pound bags of potatoes and an unknown number of 5-pound bags of potatoes. Choose an equation that represents the number of bags of potatoes in the crate.
A: 6(10) + 180 = 5x
B: 10 + 6 + 5x = 180
C: 180 = 5 + 60x
D: 6(10) + 5x = 180
Answer:
6(10)+5x=180
Step-by-step explanation:
This is because there are 6 10-pound bags that we know of, so it would be 6(10).
Then, there are an unknown number of 5-pound bags, in which the variable would be x, so it would be 5x.
Lastly, the content weighs 180 pounds, so that's what the equation would be equal to.
Please help me this is due today
a) The predicted heating cost for a month with temperature of 25 ºF is given as follows: $65.70.
b) The predicted heating cost for a month with temperature of 0 ºF is given as follows: $96.20
c) For an increase of one degree Fahrenheit, the predicted decrease in the cost is of $1.22.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The slope and the intercept for the function in this problem are given as follows:
Slope of -1.22, meaning that for an increase of one degree Fahrenheit, the predicted decrease in the cost is of $1.22.Intercept of 96.2, meaning that the predicted heating cost for a month with temperature of 0 ºF is of $96.20.Hence, the predicted cost for a month with temperature of 25ºF is given as follows:
y = -1.22(25) + 96.20 = $65.70.
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please I only have an hour left so can you help me with both?
Which linear equation shows a proportional relationship?
y = 2x + 5
y equals one fifth times x minus 7
y equals negative one fifth times x
y = −5
Answer:
y = (-1/5)x
Step-by-step explanation:
The equation that represents a proportional relationship, or a line, is
y = k x , where is the constant of proportionality.
y = 2x + 5 (N0)
y equals one fifth times x minus 7 ------- y = (1/5)x -7 (No)
y equals negative one fifth times x ------y = (-1/5)x (Yes)
y = −5 (No)
Answer:D -> y equals one fifth times x minus 7
Step-by-step explanation: In a proportional relationship, when x is multiplied by a constant, then y will also be multiplied by the same constant. This means that the ratio between x and y remains constant throughout. In the given options, the equation "y equals one-fifth times x minus 7" follows the proportionality rule because when x is multiplied by 5, then y is also multiplied by 5, which means that the ratio between x and y remains constant throughout. Therefore, the correct option is "y equals one-fifth times x minus 7
Mr.Robbins sold his house and deposited his $84,500 earnings into a savings account for one year. The account compounds at an annual rate of 3%. Find the amount that Mr.Robbins will have at the end of the year.
Answer:
Mr. Robbins will have $87,035 at the end of the year!
Select all of the following that are quadratic equations.
(MULTIPLE CHOICE)
A). 3 x² + 5 x - 7 = 0
B). 5 x² + 15 x = 0
C). 2 x - 1 = 0
D). x² - 4 x = 4 x + 7
E). 6 x - 1 = 4 x + 7
F). x³ - 2 x² + 1 = 0
Answer:
A B D F
Step-by-step explanation:
quadratic equation normally comes with squares
Laila participated in a dance-a-thon charity event to raise money for the Animals are Loved Shelter. The graph shows the relationship between the number of hours Laila danced, x, and the money she raised, y.
Determine the slope and explain its meaning in terms of the real-world scenario.
The slope is 6, which means that the amount the student raised increases by $6 each hour.
The slope is one sixth, which means that the amount the student raised increases by $0.34 each hour.
The slope is 12, which means that the student will finish raising money after 12 hours.
The slope is 20, which means that the student started with $20.
Answer: The answer is A. The slope is 6, which means that the amount the student raised increases by $6 each hour.
Step-by-step explanation: I hope this help.
The correct interpretation is option (A) The slope is 6, which means that the amount the student raised increases by $6 each hour.
What is the Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
The slope is 6, which means that the amount of money Laila raised increases by $6 for every hour she danced. In other words, for each additional hour of dancing, Laila raised an additional $6 in donations.
This indicates a linear relationship between the number of hours Laila danced and the amount of money raised.
The y-intercept is 20, which means that when Laila did not dance at all, she still managed to raise $20 for the Animals are Loved Shelter.
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What number should go in the box to make the equation true? Explain how you got to your answer.
- (3/4) = ?/4
A. -3
B. 3
C. -4
D. 4