perimeter is 21cm Length is 7.5cm and the Breadth is not given​

Answers

Answer 1

Answer:

The answer is 3cm

Please give branliest!

Step-by-step explanation:

(S1×2)+(S2×2)=21cm

(S1+S2)×2=21cm

S1+S2=21÷2

7.5+S2=10.5

S2=10.5-7.5

S2=3

Breadth=3cm

Answer 2

Step-by-step explanation:

p=2(l+b)

21=2(7.5+b)

21=15+2b

21-15=2b

6=2b

6/2=b

b=3


Related Questions

A rectangular park has an area of A square yards. The length of the park is 50 yards.
Which equation represents, w, the width of the park in yards?
w= A - 2(50)
w=50/А
w=А/50
w= A - 25

Answers

Answer:

i believe it would be   w=A/50

Step-by-step explanation:

We have 2 squares. One square is shaded 2/12 and the other shaded square in the diagram is 2/15 shaded. How much of the total diagram is shaded?

A.0.148
B.0.148 repeated
C. 0.3
D.0.3 repeated

Answers

Answer: The answer to your question is C. Brainliest?

Step-by-step explanation:

For the first square, we can multiply both the numerator and denominator by 5 to get an equivalent fraction with a denominator of 60:

2/12 = (2 x 5) / (12 x 5) = 10/60

For the second square, we can multiply both the numerator and denominator by 4 to get an equivalent fraction with a denominator of 60:

2/15 = (2 x 4) / (15 x 4) = 8/60

Now, we can add the two fractions:

10/60 + 8/60 = 18/60

Simplifying this fraction by dividing both numerator and denominator by 6, we get:

18/60 = 3/10

Therefore, the total shaded area in the diagram is 3/10 or 0.3 in decimal form.

The answer is C. 0.3.

Find the final amount of money in an account if
$
7
,
200
is deposited at
6
%
interest compounded annually and the money is left for
6
years.

Answers

Answer:

10213.33

Step-by-step explanation:

use the formula to answer this question

principal=7,200

rate=0.06

compounded anually=1

time=6

Hope it helped..

Find the final amount of money in an account if $7,200 is deposited at 6% interest compounded annually

A bucket contains 72 red, 48 blue, 48 green, and 48 yellow crayons. The art teacher also has 120 pieces of drawing paper. What is the largest number of identical kits the art teacher can make with all of the crayons and all of the paper?

Answers

The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.

To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.

The GCD represents the largest number that can divide all the quantities without leaving a remainder.

The GCD of the quantities of crayons can be found by considering the prime factorization:

72 = 2³ × 3²

48 = 2⁴ × 3

48 = 2⁴ × 3

48 = 2⁴ × 3

The GCD of the crayons is 2³ × 3 , which is 24.

Now, we need to find the GCD of the quantity of drawing paper:

120 = 2³ × 3 × 5

The GCD of the drawing paper is also 2³ × 3 , which is 24.

Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.

Each kit would contain an equal distribution of crayons and drawing paper.

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Which linear function has the same y-intercept as the one that is represented by the graph?

On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.

Answers

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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In Exercises 13 and 14, determine whether the situation shows direct variation.
Explain your reasoning.
13. Bowling lane rental costs $3.00 per hour.
14. A family water park ticket costs $20 plus $5 for each tube.
15. In a rewards program, the number p of points a member earns varies directly
with the number d of dollars spent in the store. A member who spends $10 earns
5 points. Find the number of points a member earns for spending $80.

Answers

Answer:

tbh choose the biggest number

Step-by-step explanation:

Solve the inequality - 3 / 2 x > -9 and write the solution using:
Inequality notation:
Graph the solution below:
Points possible: 1
This is attempt 1 of 3 .

Solve the inequality - 3 / 2 x > -9 and write the solution using:Inequality notation:Graph the solution

Answers

The solution to the given inequality in interval notation is {-∞, 6} and it is represented by the number line shown in the graph attached below.

What is an inequality?

An inequality is a mathematical relation that is typically used for comparing two (2) or more integers and variables in an algebraic equation based on any of the following symbols:

Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).

Given the following inequality:

-3x/2 > -9

Next, we would solve the inequality by multiplying both sides with 2 as follows:

2 × -3x/2 > -9 × 2

-3x < -18

Dividing both sides by -3, we have:

-3x/-3 < -18/-3

x < 6

In interval notation, we have:

Interval notation = {-∞, 6}

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Solve the inequality - 3 / 2 x &gt; -9 and write the solution using:Inequality notation:Graph the solution

Use a model to find the missing value in the proportion.
A. 4
B. 5
C. 10
D. 22
Please select the best answer from the choices provided
OA
OB
O C
OD

Answers

The missing value in the proportion is C- 10

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We are given that 2/5 = ?/25

Let x be the unknown number.

Here first we have the bottom half of type equation equal each other

5x=25 (2)

x= 25 (2) / 5

x = 5 (2)

x = 10

10 is the answer

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How do you find the range on a graph?

Answers

The range of a graph can be found using the values depicted on the y-axis.

According to the question,

We have the following information:

We have a graph and we need to know how do we find the range of that graph.

We know that the domain of a graph is the collection or in other words set of input values depicted on x -axis and the range of a graph is the set of possible output values portrayed on y-axis of the graph.

In noting down the range of a graph, we first list down the down value and then the up value or in other words we move from down to up in order to find the range of a graph.

Hence, the range of a graph can be found using the values depicted on the y-axis.

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During her morning run Olivia’s heart beats 330 times in 3 minutes. Enter the number of beats Olivia’s heart would have in 4 minutes at this rate.

Answers

Answer:

440 beats

Step-by-step explanation:

330/3 = 110 beats per minute

110 * 4 = 440

Answer:

440

Step-by-step explanation:

if you divide 330 by 3 that would be 110 in 1 minute so multiply that by 4 and you get 440

Find the value of p.

-25 = -4p + 19

Answers

1. Move the like terms and change there signs

4p= 19+25

2. Add 19 and 25

4p= 44

3. Divide by 4

p= 11

Answer:

9.75

Step-by-step explanation:

-25 = -4p + 19

-25 - 19 = -4p

-39 ÷ -4 = p

9.75 = p

1. Evaluate 7m + 3mn; when m=8 and n=14?

2. Simplify: 675 ÷ (6+9 ÷ 3)

3. (3x - 2)(4x +1)

Answers

Answer:

1. 392

2. 75

3. \(12x^{2} - 5x -2\)

Step-by-step explanation:

1. 7×8 + 3×8×14 = 56 + 336 = 392

2. 675 ÷ (6 + 3) = 675 ÷ 9 = 75

3. \(12\)\(x^{2}\) + \(3x -\) \(8x - 2\) = \(12x^{2} -5x-2\)

A. Are the expressions 3(m - 2) + 2(m - 2) and 5(m - 2) equivalent expressions? B. In two or more complete sentences, justify your answer to A.

Answers

A. Yes, the two expressions in discuss as given in the task content are; equivalent expressions.

B. The two expressions when simplified to the fewest terms is; 5m - 10. Hence, the two expressions are equivalent expressions.

Are the two expressions given equivalent expressions?

It follows from the task content that the two expressions given are to be compared and determined if they are equivalent expressions.

A. By evaluation; using the Distributive property; we have;

3(m - 2) + 2(m - 2) = 3m - 6 + 2m - 4 = 5m - 10.

Also; 5(m - 2) = 5m - 10.

Therefore, the two expressions are equivalent.

B. Since both expressions given can be written in fewest terms as; 5m - 10, the expressions are equivalent. Hence, the two expressions are said to be equivalent expressions.

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The graph shows the number of weeks of practice (x) and the number of
shots missed in a free-throw drill (y). The equation of the trend line that best
fits the data is y = - + 6. Predict the number of missed shots after 10
weeks of practice.
A. 1
B. 2
C. 3
D. 4

The graph shows the number of weeks of practice (x) and the number ofshots missed in a free-throw drill

Answers

The number of missed shots after 10 weeks of practice is 1

Predicting the number of missed shots after 10 weeks of practice.

From the question, we have the following parameters that can be used in our computation:

The line of best fit

Also, we have the equation to be

y  = -1/2x + 6

At the 10th weeks, we have

x = 10

Substitute the known values in the above equation, so, we have the following representation

y  = -1/2 * 10 + 6

Evaluate

y = 1

Hence, the number of missed shots after 10 weeks of practice is 1

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find inverse of f(x)=- 1/2 x+11

Answers

Answer:

-2x + 22

Step-by-step explanation:

We have the function f(x) = -1/2x + 11 and are asked to find the inverse of it.

To find the inverse, we will follow the according steps :

Replacing x with ySolving for y

Let's do as followed:

Replacing x with y :

Since f(x) can be also written as y, we can do y = -1/2x + 11, thus making the switch alot easier.

y = -1/2x + 11

x = -1/2y + 11

Solve for y :

We have to get y alone to find the inverse, to do so, get rid of the outlier by subtracting 11 from both sides :

x - 11 = -1/2y

Now divide both sides by -1/2 to get y alone and retrieve our inverse :

-2(x - 11)

Distribute to get the inverse :

-2x + 22

What is the value of x in the equation x + 5.1 = 0?

−5.1

0

4.9

I don't know.

Answers

Answer:

x = -5.1

Step-by-step explanation:

Given the equation, x + 5.1 = 0:

Subtract 5.1 on both sides of the equation to isolate x:

x + 5.1 - 5.1 = 0 - 5.1

x + 0  =  - 5.1

x =  - 5.1

Answer:

x = -5.1

Step-by-step explanation:

Given the equation, x + 5.1 = 0:

Subtract 5.1 on both sides of the equation to isolate x:

x + 5.1 - 5.1 = 0 - 5.1

x + 0  =  - 5.1

x =  - 5.1

High School Geometry

High School Geometry

Answers

BC is tangent to circle A, and the value of r is 10.

Given,

BC=24

CD=16

AD=AB=r

To find the value of r, we can use the fact that a tangent line to a circle is perpendicular to the radius at the point of tangency. So we know that angle ABD is a right angle, and we can use the Pythagorean theorem

The Pythagorean theorem can be used to calculate the value of r:

\(AB^2+BC^2=AC^2\)

\(r^2+24^2=(r+16)^2\)

\(r^2= (r+16)^2-24^2\)

\(r^2\)= \(r^2\)+256+32r-576

\(r^2\)=\(r^2\)+32r-320

\(r^2-r^2\)-32r=-320

-32r=-320

r=320/32

r=10

Therefore the correct answer is r=10.

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Consider the function y = √4-x.
What are the domain and range of this function?

Answers

Answer:

For the function y = √4-x, we know that the value inside the square root must be non-negative. Therefore, we have the inequality:

4 - x ≥ 0

Solving for x, we get:

x ≤ 4

So the domain of the function is all real numbers less than or equal to 4.

For the range, we know that the square root of any non-negative number is always non-negative. Therefore, the smallest value that y can take is 0, which occurs when x = 4. As x decreases, y increases without bound. So the range of the function is [0,∞).

Step-by-step explanation:

Harry has a batting average of .200 (i.e., a 20 percent chance of a hit each time he's at bat). Scouts for a rival baseball club secretly observe Harry's performance in 12 random times at bat. What is the probability that Harry will not get more than 2 hits

Answers

Answer:

0.9999

Step-by-step explanation:

Probability of a bit whenever he is at bat = 0.20

Probability when not having a hit = 1-0.20

= 0.80

n = 12

P = 0.80

We have a binomial distribution

P(X=x) = nCx*P^x(1-p)^n-x

P(x>2) = 1-p(x<=2)

= 1-[(12C0 * 0.8⁰*(1-0.8)¹²) +(12C1 * 0.8¹ * (1-0.8)¹¹) + (12C2 * 0.8² * (1-0.8)¹⁰)]

= 1-(0.000000004096+0.000000196608+0.000004325376)

= 1-0.00000452608

This is approximately

0.9999

Solve the equation and tell me what the y=?

Solve the equation and tell me what the y=?

Answers

Answer:

Y = 40

Step-by-step explanation:

All you have to do is multiply 5 by 8

5 * 8 = 40

So, Y = 40

Hope this helps! :)

Answer:

40

Step-by-step explanation:

In a manufacturing plant, a work center is a specific production facility that consists of one or more people and or machines and is treated as one unit for the purposes of capacity requirements planning and job scheduling. If the jobs arriveat a particular work center at a faster rate than they depart, the work center impedes the overall production process and is referred to as a bottleneck. This sample was collected by an operations manager for use in investigating a potential bottleneck work center. There are 315 hours in the work week when items can come into the work center. The manager selects every 15th hour and counts how many items come into the work center during that hour. What type of sample is this?

Answers

Answer:

Systematic sampling

Step-by-step explanation:

Systematic sampling is a sampling technique in which the first sample selection is a random selection but other subsequent selection of samples occurs within a fixed sampling interval. The determination of this interval is based on the division of the population size by sample size.

Let assume that, our first random selection is \(i^{th}\) unit, then the other fixed selection occurs at a fixed sampling interval of k.

Therefore, using systematic sampling method, the sampling unit will be every \(k^{th}\) unit after the \(i^{th}\) unit.

From  the question given:

We notice that the manager selects a sampling unit every 15th  hour. This tells us that he is taking the sampling unit by the usage of a fixed time interval.

Hence, this appears to be a systematic sample.

someone please help with my geometry

Answers

Geometry encompasses various topics such as angles, lines, triangles, circles, polygons, and more.

Whether you need help with a specific theorem, a geometric proof, or solving a particular problem, feel free to describe the problem or provide any relevant information.

You can also ask general questions about geometry concepts or seek clarification on any topic you find challenging. Remember to provide all the necessary details, such as given information, diagrams, or specific requirements of the problem, to help me understand and assist you better.

Geometry often involves visual representation, so if you can provide any diagrams or illustrations related to your question, it would be helpful. However, if you can only describe the problem or concept in words, that's perfectly fine too.

Rest assured that I'll do my best to provide clear explanations, step-by-step solutions, and any additional information or insights to help you understand and solve your geometry problem.

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Look at the following set of four whole numbers. 4 9 10 12 Find another set of four whole numbers so that: the range has increased by 2, • the mean remains the same, • the median has decreased by 1. ● You may use some of the numbers from the orignal set, but not exactly the same four numbers. My four numbers are ​

Answers

The required set of numbers 5, 9, 11, and 14 satisfies all the given conditions.

What is Set?

In mathematics, a set is a logically arranged group of items that can be represented in either set-builder or roster form. Sets are typically denoted by curly brackets; for instance, A = 1, 2, 3, 4 is a set.

According to question:

a set of four whole numbers that satisfies the given conditions:

5, 9, 11, 14

To check that this set meets the requirements:

The range of the original set (12 - 4 = 8) increased by 2 to become 10 (14 - 4 = 10).

The mean of the original set ((4 + 9 + 10 + 12) / 4 = 8.75) remains the same in the new set ((5 + 9 + 11 + 14) / 4 = 8.75).

The median of the original set is 9.5 (the average of 9 and 10), and the median of the new set is 10 - 1 = 9.

Therefore, the set of numbers 5, 9, 11, and 14 satisfies all the given conditions.

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Write the sum of the circumferences of all three circles in factored form.

Write the sum of the circumferences of all three circles in factored form.

Answers

Answer:

2π(x+y+z)

is the factorization

You want to survey people about their favorite types of art. Which is the better place to get a random sample?

A) outside an art museum
B) in the modern art section of an art museum

Answers

Answer:

B) in the modern art section of an art museum

Step-by-step explanation:

Hope it helps! =D

Please help me with the following question.

Please help me with the following question.

Answers

If one order is selected, the probability of getting an order that is not accurate is 0.236.

What is probability in maths?

Probability is a measure of the likelihood of an event occurring. The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. Scientific probability is built on the basis of probability theory.

The calculation is;

P(Not accurate ) is equal to [n(Not accurate) + (Not accurate)- n] /Total

Thus, we have;

P(Not accurate) is calculated as follows:

(60 + 32 + 12 + 38 + 122 + 12 - 12)/(280 + 245 + 122 + 331 + 60 + 32 + 12 + 38).

P(Not accurate) = 264/1120

P(Not accurate ) = 0.236

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Question 12 (5 points)
Which statement represents the transitive property of equality?
OA) If m ZA= mB, then m B) If x = y, then y = x.
OC) If WX = XY, then XY = WX.
OD) If WX = XY and XY = YZ, then WX = YZ.

Answers

Answer:

D) If WX = XY and XY = YZ, then WX = YZ.

Step-by-step explanation:

The transitive property states that if a=b and b=c, then a=c. So, if two different values equal to the same, separate value, then they are also congruent. The answer choice, d, represents this idea because WX and YZ both equal XY and are shown to be equal.

Answer:

OD) If WX = XY and XY = YZ, then WX = YZ.

Step-by-step explanation:I took the test

What is the slope, m, and the y-intercept of the line that is graphed below?NO-54-3-2-1, 112345x

Answers

Answer:

The slope is m = 1.

y-intercept is y = 1.

Step-by-step explanation:

Slope:

To find the slope of a line, we select two points of the line. The slope is the variation in y divided by the variation in x.

In this exercise:

I am choosing the points (-1,0) and (0,1)

Variation in x: 0 - (-1) = 0 + 1 = 1

Variation in y: 1 - 0 = 1

Slope: 1/1 = 1

The slope is m = 1.

y-intercept:

The y-intercept is the value of y when x = 0. In this line, when x = 0, y = 1. So the y-intercept is y = 1.

The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?

The graph compares the weights in pounds of 100 dogs and cats that are brought into a veterinarian's

Answers

Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Find the difference between the actual quotient and the estimated quotient of 54,114÷29 . (Dividend is rounded off to nearest thousand and divisor to nearest ten)

Answers

The difference between the actual quotient and the estimated quotient of 54,114 ÷ 29 is approximately 66.3448275862068965517241379.

To find the difference between the actual quotient and the estimated quotient of 54,114 ÷ 29, we need to first calculate the actual quotient and then the estimated quotient.

Actual quotient:

Dividing 54,114 by 29, we get:

54,114 ÷ 29 = 1,866.3448275862068965517241379 (approximated to 28 decimal places)

Estimated quotient:

Rounding the dividend, 54,114, to the nearest thousand gives us 54,000. Rounding the divisor, 29, to the nearest ten gives us 30. Now, we can perform the division with the rounded values:

54,000 ÷ 30 = 1,800

Difference between actual and estimated quotient:

Actual quotient - Estimated quotient = 1,866.3448275862068965517241379 - 1,800 = 66.3448275862068965517241379

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How many bows can you make from 3 and 2/3 meters of ribbon if 1/4 of a meter of ribbon makes one bow Can you ever have a function and a relation at the same time? Why or why not? Read the passage below carefully and then choose the correct answer.He had a fever when he was in Spain,And when the fit was on him, I did markHow he did shake: 'tis true, this god did shake;His coward lips did from their colour fly,And that same eye whose bend doth awe the worldDid lose his luster: I did hear him groan:Ay, and that tongue of his that bade the RomansMark him and write his speeches in their books,Alas, it cried 'Give me some drink, Titinius,'As a sick girl. Ye gods, it doth amaze meA man of such a feeble temper shouldSo get the start of the majestic worldAnd bear the palm alone.According to this speech, why does Cassius believe Caesar is unfit to rule? (10 points) aCaesar loses almost every battle. bCaesar is cruel to his servants. cCaesar is not healthy enough. dCaesar is terrified of ghosts. Washington and california use a similar primary system in which the top ______ vote getters proceed to the general election. The solar system is 25,000 light years from the center of our Milky Way galaxy. One light year is the distance light travels in one year at a speed of 3.0 x 108 m/s. Astronomers have determinedthat the solar system is orbiting the center of the galaxy at a speed of 230 km/s.a. Assuming the orbit is circular, what is the period of the solarsystems orbit? Give your answer in years.b. Our solar system was formed roughly 5 billion years ago. How many orbits has it completed?c. The gravitational force on the solar system is the net force due to all the matter inside our orbit. Most of that matter is concentrated near the center of the galaxy. Assume that the matter has a spherical distribution, like a giant star. What is the approximate mass of the galactic center?d. Assume that the sun is a typical star with a typical mass. If galactic matter is made up of stars, approximately how many stars are in the center of the galaxy? A town has a population of 3000 people. It is growing at a rate of 12% per year. What will the population be after 25 years The cash balance per the books of White Company is $72,942 on December 31, 2020. The bank statement for White shows a cash balance of $78,406 on December 31. The following additional items were noted: 1 A deposit of $14.900 made by White on December 31 was not recorded by the bank until January 2 Outstanding cheques (cheques written by White but not yet cleared by the bank) at Nov. 30 What is a function controlled by the cerebellum?O breathingO memoryO heartbeatO walking APUSH Ida M Tarbell - The History of The Standard Oil Company - 40 points Why is it important to address a counterclaim in an argumentative essay? the set of ordered pairs(1,8.50,(3,25.50),(5,42.50)(,6,51),(7,59.50) represents the cost of tickets for the school play for different numbers of tickets. the imput represents the number of tickets,and the output represents the total cost. is the cost a function of the number of tickets?explain Less need for policy manuals, organization charts, and formal controls is a sign of shared values in a: -1 + a = -6solve for a Mines , construction areas , and farmland are all examples of ways humans modify the ______ . a . ecosystem c . landscape b . landfill d . biome. The function h(x) is a transformation of the square root parent function, f(x) = x. What is h(x)?A. h(x) = x + 5B. h(x) = x - 5C. h(x) = x - 5D. h(x) = x + 5 if 10 ops are equal to 1.63 sals how many sals are equal to a book that costs 12.25 ops as healthy people leave an insurance pool, premiums rise, which cause more people to leave the pool and even higher premiums. this describes: Quick which answer choice is it???? Question 1Consider the demand function:Q = -3p2 + 2p + 1970=where q = quantity, p = price1a) Find Total Revenue as a function of p.(Hint: Do not attempt to find Total Revenue as a function of q, as to do sorequires use of the inverse demand function which is difficult to find in this case. James wants to compete in the international speed texting competition next year where participants compete on text speed and accuracy. James's current text speed is 2 characters per second. James has found that his texting speed is increasing at a rate of a character per second for each month that he practices.