Answer:
Part A. (4,5)
Part B. (9,7)
Step-by-step explanation:
Look at the x an y. X is bottom numbers Y is the vertical numbers. Look at A then B and boom you would get what i got.
-2/9 x² -1/9 x² (expanding expressions)
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The final expression of (-2/9)x² - (1/9)x² is (-1/3)x².
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(-2/9)x² - (1/9)x²
Taking out the common.
(-1/9) (2x² + x²)
Adding the like terms.
(-1/9)3x²
-1/9 x (3x²)
(-1/3)x²
Thus,
The final expression of (-2/9)x² - (1/9)x² is (-1/3)x².
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What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (−4, −3)? y 3 = −4(x 4) y 3 = â€"one-fourth(x 4) y 3 = one-fourth(x 4) y 3 = 4(x 4)
The equation of the straight line, in point-slope form, is
[tex]y +3 = \frac{1}{4} ( x + 4)[/tex]
we have , the required line is perpendicular to the given line.
Also let us take any two coordinates of the given line , like (-1 , 1 ) and
( 0 , -3) . So the slope (m₁) of given line = [tex]\frac{y2 -y1}{x2 - x1 }[/tex]
m₁ = -4
as the required line is perpendicular to the given line so , we know
for two perpendicular lines
m₁ m₂ = -1
therefore , m₂ = 1/4
Now the required line passes through (-4,-3)
and the equation of straight line in point slope form is given by
[tex](y_{} - y_{1}) = m (x - x_{1} )[/tex]
here m = 1/4
y₁ = -3
x₁ = -4
therefore the required equation in point-slope form is
y + 3 = 1/4 ( x +4 )
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The internal radius of a cylindrical bucket of height 50 cm is 21 cm. It is filled with water completely. If the water is poured into a rectangular vessel with internal length 63 cm and breadth 44 cm and it is completely filled with water, find the height of the vessel.
The height of the rectangular vessel into which the volume of water that completely fills the cylindrical bucket is poured is approximately 25 centimeters
What is the relation between height and volume of a cylinder?
The volume of a cylinder is the product of the base area of the cylinder and the height of the cylinder.
Height of the cylindrical bucket, h = 50 cm
Radius of the bucket, r = 21 cm
The level of water in the cylindrical container = The container is filled completely with water
The shape of the vessel into which the water is poured = Rectangular vessel
Length of the rectangular vessel into which the water in the cylinder is poured, L = 63 cm
Breadth of the rectangular vessel, B = 44 cm
Level to which the water fills the rectangular vessel = The rectangular vessel is completely filled with the water poured in from the cylinder
Volume of water in the cylinder, V = Volume of the cylinder = π·r²×h
Therefore;
V = π × 21² × 50 = 22050·π
The volume of water transferred from the cylinder = 22050·π cm³
Volume of the rectangular vessel, [tex]V_s[/tex] = L × B × H
[tex]V_s[/tex] = V = 22050·π cm³
Therefore;
The height of the rectangular vessel, H = [tex]V_s[/tex]/(L × B)
H = 22050·π/(63 × 44) = 24.9899415626 ≈ 25
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What is the slope of a line parallel to the line whose equation is 2x+4y=562x+4y=56. Fully simplify your answer.
The slope of the line parallel to the line that has an equation of 2x + 4y = 56 is -2
How to determine the slope of the line parallel to the line?The line equation is given as
2x + 4y = 56
Subtract 2x from both sides
This gives
4y = -2x - 56
Divide through the equation by 4
So, we have
y = -0.5x - 14
A linear equation is represented as
y = mx + c
Where m represents the slope
This means that
m = -0.5
Parallel lines have the same slope
This means that the slope of the line parallel to the line is -0.5
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Help!! In two or more sentences , explain how to find the time it takes for a rocket following the path h(x)= -4x^2 + 16x to hit the ground
The time it takes for a rocket following the path h(x)= -4x² + 16x to hit the ground is 4 seconds.
How to find the time for a rocket to hit the ground?
The given path equation is a function of x which is a time variable here. When the rocket hits ground, height of the rocket gets zero.
Hence equating the equation of height to zero and solving for x will give the time required for the rocket to hit the ground.
According to the given question:
We are given equation for height as
h(x) = -4x² + 16x
where x is the time in seconds
When object hits the ground the height becomes 0
So, we can set h(x) = 0 and then we can solve for x
-4x² + 16x = 0
Dividing by -4x from both sides
x - 4 = 0
x = 4 sec
So, the time it takes for a rocket to hit the ground is 4 seconds.
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seven new employees, two of whom are married to each other, are to be assigned seven desks that are lined up in a row. if the assignment of employees to desks is made randomly, what is the probability that the married couple will have adjacent desks? (round your answer to the nearest tenth of a percent.) the probability that the couple has adjacent desks is %. what is the probability that the married couple will have nonadjacent desks? (round your answer to the nearest tenth of a percent.) the probability that the couple has nonadjacent desks is
The probability that the married couple will have adjacent desks is 0.2857and the probability that the married couple will have non-adjacent desks is 0.7143.
Probability is synonymous with potential. It is a branch of mathematics that studies the occurrence of a random event. The number ranges from 0 to 1. In mathematics, probability has been introduced to predict how likely events are to occur.
Given that
Of 7 new employees, 2 employees are married to each other; these 7 employees are to be assigned 7 desks that are lined up in a row.
If the assignment of the employees to the desks is made randomly, we have to find the probability that the married couple will have adjacent desks and will have non-adjacent desks.
Now, the event that the couple has non-adjacent desks is the complement of the event that they have adjacent desks.
Now, first, let us determine in how many ways can the couple have adjacent desks.
Let us consider the married couple as a single entity, that always stays together.
Then, in total, there are 6 entities; 5 non-related employees and 1 married couple.
Now, these 6 can be arranged among themselves in 6! number of ways.
The married couple can have adjacent desks in 2! ways.
So, the favorable number of cases, in which the couple has adjacent desks, is 6!*2!.
Again, 7 employees can be assigned desks in 7! number of possible ways.
That is, the number of all possible cases is 7!.
This means that
P(The couple has adjacent desks)
=6!*2!/7!
=0.2857.
Now,
P(The couple will have non-adjacent desks)
=1-P(The couple will have adjacent desks)
=1-0.2857
=0.7143
Therefore the probability that the married couple will have adjacent desks is 0.2857and the probability that the married couple will have non-adjacent desks is 0.7143.
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The length of KL¯¯¯¯¯¯¯¯ is 8x−17 units. The length of ST¯¯¯¯¯¯¯ is −2x+18 units. For what value of x are the segments congruent?
NO LINKS OR FILE
Answer:
x = 3.5units
Step-by-step explanation:
Congruent means the same length, so set the given lengths equal to each other.
8x - 17 = -2x + 18
Add 2x to both sides.
10x -17 = 18
Add 17 to both sides.
10x = 35
Divide by 10
x = 3.5
When x is 3.5, KL and ST are the same length. Check.
8(3.5) - 17 = 11
and
-2(3.5) + 18 = 11
Alexa conduct a scientific experiment. For certain time, The temperature of a compound rose 3 1/2° every 2/3 of an hour. How much does a temperature of the compound rise in one hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
PLEASE HELP!!!!
How to find a in this equation?
Answer:
Step-by-step explanation:
5) f(1)= 2x^3-3x^2-2x+a=-4
2^3- 3^2-2+a= -4
a=-1
6)b= 42
Select the correct answer.
What is the domain of function f?
D
Step-by-step explanation:
The domain is the X-values in your function
as you can see, the X values continue to increase as the lines continue, infinitely
Please help asap this is 2 weeks overdue i need to know which answer it is
The inequality for this graph is:
x<2
HURRY! I'LL GIVE BRAINLIEST
what is the relative frequency of all students surveyed who go to cook middle school and prefer energy flow?
Answer:
2/5 = 0.4 = 40%
Step-by-step explanation:
You want the relative frequency of students who go to Cook Middle School and prefer Energy Flow.
Table valuesThe table tells us the number of students who go to Cook Middle School is 35, of which 20 prefer Energy Flow. The total number of students is 50.
Relative frequencyThe relative frequency of interest is ...
(Cook & Energy Flow) / (All students)
= 20/50 = 2/5 = 0.4 = 40%
The relative frequency of students who go to Cook and prefer Energy Flow is 2/5, or 40%.
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A grocery store has salmon fillets on sale for $8.30 per pound. Mrs.patrolia buys
not sure how much she bought, but all you’d have to do is multiply the cost of salmon fillets ($8.30) times the amount she bought.
Example: if Mrs. Patrolia bought 3 pounds it would be $8.30 x 3.
eight times the quotient of x and 2
Answer:
4x
Step-by-step explanation:
the quotient of x and 2 is [tex]\frac{x}{2}[/tex] , then
8 × [tex]\frac{x}{2}[/tex] ( cancel 8 and 2 by 2 )
= 4 × x
= 4x
I need help like asap !!!
only numbers and decimal points
Answer:
34 inches
Step-by-step explanation:
[tex]c = \sqrt{ {16}^{2} + {30}^{2} } [/tex]
[tex]c = \sqrt{256 + 900} [/tex]
[tex]c = \sqrt{1156} = 34[/tex]
Answer:
34 inches...................
What is the area of this triangle?
8cm
6cm
2cm
Answer:
6cm square
Step-by-step explanation:
Ms. Kirkland is baking muffins. Each batch of muffins uses 1 ½ pounds of flour. How many batches of muffins can she bake with 7 ½ pounds of flour? ______________ batches.
The number of batches of muffins Ms. Kirkland can bake with 7 ½ pounds of flour is 5 batches.
Given that, Ms. Kirkland is baking muffins. Each batch of muffins uses 1 ½ pounds of flour.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Here, [tex]1\frac{1}{2} = \frac{3}{2}[/tex] and [tex]7\frac{1}{2} = \frac{15}{2}[/tex]
The number of batches of muffins can she bake
= 15/2 ÷ 3/2
= 15/2 × 2/3
= 5 batches
Hence, the number of batches of muffins Ms. Kirkland can bake with 7 ½ pounds of flour is 5 batches.
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Answer: The answer is 5
Step-by-step explanation: I have my ways ;>
graph the equation y-2x=0 and y=6x-10
A graph of the given system of linear equations is shown in the image attached below.
What is a graph?In Mathematics, a graph can be defined as a type of chart that is commonly used to graphically represent data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate.
Next, we would rewrite the first equation in standard form as follows:
y - 2x = 0
Adding 2x to both sides of the equation, we have the following:
y - 2x + 2x = 0 + 2x
y = 0 + 2x
y = 2x
By critically observing the graph (see attachment), a solution to the given system of linear equations are 2.5 and 5.
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The total number of participants who went on the seventh-grade field trip to the Pink Palace consisted of all of the seventh-grade students and 19 adult chaperones. Two-thirds of the total participants rode a large bus, and the rest rode a smaller bus. If 104 people rode the larger bus, how many students went on the field trip? Write your answer below as a single integer.
The number of students that went on the field trip is 137.
How many students went on the field trip?Let s represent the number of seventh grade students that went on the field trip.
Total number of participants = number of students + number of teachers
a + 19
Number of participants that rode the larger bus : 2/3 x (a + 19) = 104
In order to determine the value of a, take the following steps:
Multiply both sides of the fraction by 3 / 2
a + 19 = 104 x 3 / 2
a + 19 = 156
Subtract 19 from both sides of the equation:
a = 156 - 19
a = 137
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Here is a set of data
2.4, 1.6, 3.2, 0.3, 1.5
Each piece of data is now doubled
Work out the new mean
Answer:
The new mean is 3.6
Step-by-step explanation:
Since each piece of data is now doubled that means the data is now
4.8, 3.2, 6.4, 0.6, 3
Add up all of the data which comes out to 18
Divide 18 by the number of numbers there are which is 5
This will get you 3.6 which is the new mean of the data
Sohan rolled a number cube 90 times. The outcome of ""6"" occurred 18 times. What is the experimental probability of rolling a 6?
The value of the experimental probability of rolling a 6 is found as 1/5.
Define the term experimental probability?A probability that has been established by a series of tests is called an experimental probability. To ascertain their possibility, a random experiment is conducted and iterated over a number of times; each iteration is referred to as a trial. The purpose of the experiment is to determine the likelihood that a particular occurrence will occur or not.For the given question-
Sohan made 90 turns of the number cube. There were 18 occurrences of the result of "6."Thus, by the definition of the probability-
Probability (getting 6) = number of occurred outcomes/ Total outcomes
Probability (getting 6) = 18/90
Probability (getting 6) = 1/5
Thus, the value of the experimental probability of rolling a 6 is found as 1/5.
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what is the acceleration of a softball if it had a mass of .50kg and has a force of 70N when it hits the catchers glove
Answer:
the answer is 1.4N/kg
question the probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0.40. avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey. is avery interpreting the probability correctly? responses yes, because 2 out of 5 is equal to 40%. yes, because 2 out of 5 is equal to 40%. yes, because participants in the survey are selected at random. yes, because participants in the survey are selected at random. no, because there could be voluntary response bias. no, because there could be voluntary response bias. no, because only 40% of all people will visit the site. no, because only 40% of all people will visit the site. no, because 0.40 represents probability in the long run over many visits to the site.
Out of the next 5 visitors, 2 will be asked to attempt the survey. (A) yes, because 2 out of 5 is equal to 40%.
It is given the probability that the randomly selected person is asked to participate in an online survey is 0.4
This means that there is a 40% chance of a visitor being asked to join the survey.
Probability of an event = no. of favorable outcomes / total no of outcomes
P(E) = n(E) / n
Therefore, if the number of visitors to the website is 5,
n = 5
P(E) = 0.4
Hence,
n(E) / 5 = 0.4
or, n(E) = 0.4 X 5
or, n(E) = 2
Therefore, out of the next 5 visitors, 2 will be asked to participate in the survey.
Correct Question
The probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0.40. Avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey. is Avery interpreting the probability correctly?
(A) yes, because 2 out of 5 is equal to 40%.
(B) yes, because participants in the survey are selected at random.
(C) no, because there could be voluntary response bias.
(D) no, because only 40% of all people will visit the site.
(E) no, because 0.40 represents probability in the long run over many visits to the site.
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What sentence represents this equation?
8=17-2
8 is the same as 17 decreased by a number
08 is the same as a number decreased by 17.
O A number is the same as the difference of 17 and 8
O 17 decreased by 8 is the same as a number.
The sentence which represents the equation [tex]8\frac{3}{4} = 17-x[/tex] is First Option (i.e. [tex]8\frac{3}{4}[/tex] is the same as the 17 decreased by a number).
What is a number sentence?
A mathematical statement made up of numbers and symbols is called a number sentence. The sentences illustrate many mathematical operations, including addition, subtraction, multiplication, and division.
Given, [tex]8\frac{3}{4} = 17-x[/tex]
where, [tex]x[/tex] is a number and ([tex]17-x[/tex]) represents [tex]17[/tex] is decreased by a number [tex]x[/tex]
And, [tex]8\frac{3}{4}[/tex] will be equal to the [tex]17[/tex] is decreased by a number [tex]x[/tex].
Therefore, the required answer choice will be the first option i.e. [tex]8\frac{3}{4}[/tex] is the same as [tex]17[/tex] decreased by a number.
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DIMENSIONAL ANALYSIS (MATH) GIVING BRAINILIEST!
Q1: What is the speed of a horsefly in feet per second? Round to the nearest hundredth.
Q2: How many times does a dragonfly's wing beat per minute?
Q3: About how many times can a bumble bee travel in one minute?
1) The speed of a horsefly in feet per second is; 0.63 beats per minute
2) The number of times that the dragonfly's wing beats per minute is; 3 ft/s
3) The number of times that a bumble bee travels in one minute is; 0.11 miles per minute
How to carry out dimensional Analysis?Dimensional analysis is defined as the study of the relationship that exists between physical quantities with the help of dimensions and units of measurement.
Dimensional Analysis is also defined as a method of problem solving that takes into consideration the identity property of multiplication whereby the product of a number and 1 will always give the same number, that is 1 × n = n whereby the value "n" remains the same after the multiplication.
1) We are given from the table that the speed of a horsefly in miles per hour = 4.4 miles per hour. We want to know the speed expressed in feet per second.
From conversions, we know that;
1 mile per hour = 1/1.467 ft/s
Thus; 4.4 miles per hour = 4.4 * 1/1.467 = 3 ft/s
2) We are given from the table that the dragonfly's wing beat per second = 38 beats per second. We want to know the dragonfly's in wing beat per minute
From conversions, we know that;
1 beat per second = 1/60 beat per minute
Thus; 38 beats per second = 38 * 1/60 = 0.63 beats per minute
3) We are given from the table that the speed of a bumble bee in miles per hour = 6.4 miles per hour. We want to know the speed expressed in miles per minute
From conversions, we know that;
1 mile per hour = 1/60 miles per minute
Thus;
6.4 miles per hour = 6.4 * 1/60 = 0.11 miles per minute
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The sides of a triangle are in the form of consecutive even integers. If its perimeter is 48cm, find the
measure of each side.
Answer:
The sides of the triangle would be 14, 16, and 18.
Step-by-step explanation:
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May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Daniela needs to rent a car while on vacation. The rental company charges $19.95, plus 18 cents for each mile driven. If Daniela only has $50 to spend on the car rental, what is the maximum number of miles she can drive?
Daniela can drive a maximum of
going over $50. Round your answer to the nearest mile.
miles without the cost of the rental
Answer:
167 miles without the cost of the rental
Step-by-step explanation:
Daniela needs to rent a car while on vacation. The rental company charges $19.95, plus 18 cents for each mile driven. If Daniela only has $50 to spend on the car rental, what is the maximum number of miles she can drive? Round your answer to the nearest mile.
equation: where m = miles driven
50 = 0.18m + 19.95
subtract 19.95 from both sides:
50 - 19.95= 0.18m + 19.95 - 19.95
30.05 = 0.18m
divide both sides by 0.18:
30.05/0.18 = 0.18m/0.18
m = 166.9444
rounded: 167 miles without the cost of the rental
Answer:
167 :)
Step-by-step explanation:
it's math :)
after collecting the historical data from a process of filling coca-cola bottles, it was found that the variance in the filling process is constant. however, clogs in the machine often affect the average volume. the historical standard deviation is 5 ml. in filling 250 ml bottles, a sample of 20 bottles found an average of volume of 246 ml. create a 95% confidence interval for the average volume of coca-cola in a bottle. can you conclude from your results that the manufacturer needs to adjust the equipment to meet the standard?
The manufacturer needs to adjust the equipment to meet the standard with the margin of error of 2.34.
Define the term margin of error?The calculated number known as the margin of error is added to and removed from the mean value to get the resulting confidence interval. The confidence interval expands as the margin of error does.
Alpha value = 0.05Standard deviation = 5Sample size = 20Sample average = 246Calculate the 95% confidence interval's margin of error based on the aforementioned data.
α = 0.05
n = 20
s = 5
The following is the formula to determine the margin of error:
E = T(n-1) ×s/√n
The t-distribution table is used to determine the value of tn-1 at 19 degrees of freedom.
Replace the values in the formula above.
E = 2.093 ×5/√20
Thus, its margin of error is 2.34 as a result.
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A movie theater showed an old, classic movie on Saturday and Sunday. Tickets cost c dollars for children under the age of 13 and d dollars for others.
On Saturday they sold 84 children's tickets and 157 tickets for others and collected $2,640 from ticket sales. On Sunday they sold 67 children's tickets and 134 other tickets and collected $2,211 from ticket sales. This can be represented by this system of equations
84c + 157d = 2,640
67c + 134d = 2,211
A. What could the equation 17c + 23d = 429 mean in this situation?
B. The solution to the original system is the pair c = 9 and d = 12. Explain why it makes sense that this
pair of values is also a solution to the equation 17c + 23d = 429.
The equation in the given question is answered in main body.
What is equation?
In arithmetic , an equation may be a formula that expresses the equality of 2 expressions, by connecting them with the sign =
Main body:
according to question :
A) equation for Saturday sale = 84c +157d = 2640
equation for Sunday sale = 67c +134d = 2211
when subtracted we will get, 17c +23d = 429
This equation shows the difference in sales of these 2 days in terms of ticket sold and collection.
B) According to second part solution are c= 9 , d= 12.
equation given : 17c+23d = 429
now substituting value of c and d.
⇒17(9) + 23(12)
⇒153+276
⇒429 = R.H.S
Hence equation satisfies.
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Describe the end behavior of each fund f(x) = x4 - x2 - x
Answer:
[tex]\lim_{x \to -\infty} f(x) = \infty[/tex] and [tex]\lim_{x \to \infty} f(x) = \infty[/tex]
Hope this helps!
Step-by-step explanation: