How to find the value of a + b + c.
I know the answer but I do not know how to arrive at the answer:
[tex]answer = 9[/tex]

How To Find The Value Of A + B + C.I Know The Answer But I Do Not Know How To Arrive At The Answer:[tex]answer

Answers

Answer 1

The attached picture is of a similar problem. But different radii.

Notice how you can form 2 equilateral triangles, and that there are 4 semi circles (at AC, AD, BC, BD).

This is because points C and D lie on the circumference of the circles. So distance from centres( A and b) to C and D are the radius

To get the area of your shaded section, you would just need to add up the areas of the 4 semi circles and 2 equi. triangles.

To get the area of a semi circle, work out the area of one of the sectors, i.e sector ABC, then subtract area of an equilateral triangle.

(Note, due to symmetry all semi circles have same area)

________________________________________________________

For example, for the picture below:

Area of equi triangle = absinC = 1*1*sin60 = √(3)   --> (C is angle)

Area of sector = (angle/360) * πr² = (60/360) * π * (1)² = π/6

So area of 1 semi circle = Area of Sector - Area of equi triangle

                                       = π/6 - √(3)

Now you would just add the areas of 4 semi circles, and 2 equi triangles, and compare coefficients to get a, b, c.
______________________________________

Now you would do the same for your question, except radius is now 6cm instead of 1cm.

How To Find The Value Of A + B + C.I Know The Answer But I Do Not Know How To Arrive At The Answer:[tex]answer

Related Questions

For the following right triangle, find the side length x , round to the nearest hundredth.

Answers

Answer: 14.9

Step-by-step explanation:

Pythagoras Theorem States that for any right angled triangle.

a ^ 2 + b^2 = c ^2.

a = 10

b = 11

x = unknown

x^2 = a ^ 2 + b^2

x^2 = (10 * 10) + (11 * 11)

x = sqrt(100 + 121)

x = sqrt(221)

x = 14.9

Find the perimeter of the figure shown below

Answers

The perimeter of the figure with the varied side length is 52 cm

How to determine the perimeter of the figure

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

Shape = composite figure

Smaller shapes = squares and rectangles

Side lengths = varied values

The perimeter of the figure is calculated as

Perimeter = Sum of the sides lengths of the shape

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

Perimeter  = 12 + 7 + 3 + 4 + 3 + 7 + 6 + 10

Evaluate the sum in the above equation

Perimeter  = 52 cm

Hence, the perimeter is 52 cm

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Write x² + 10x + 29 in the form (x + c)² + d, where c
and d are numbers.
What are the values of c and d?

Answers

Answer:Write x² + 10x + 29 in the form (x + c)² + d, where c

Step-by-step explanation:

Answer:

(x+5)² + 4, so c is 5 and d is 4

Step-by-step explanation:

x² + 10x + 29 is a quadratic equation which can be witten as x² + bx + c, where b is 10 and c is 29.

We need to complete the square to get it in the form

(x + c)² + d

Completing the square uses the form:

[tex](x + \frac{b}{2} ) {}^{2} - ( \frac{b}{2} ) {}^{2} + c[/tex]

substitute b = 10 and c = 29 in this form:

[tex](x + \frac{10}{2}) {}^{2} - ( \frac{10}{2} ) {}^{2} + 29[/tex]

Simplify further:

[tex](x + 5) {}^{2} - 25 + 29[/tex]

[tex](x + 5) {}^{2} + 4[/tex]

c = 5, d = 4

at a cafeteria the price of a salad depend on it weight in ounces. the graph shows the relationship what is the slope of the line

Answers

Answer:

slope = 1/4

Step-by-step explanation:

at a cafeteria the price of a salad depend on it weight in ounces. the graph shows the relationship what is the slope of the line

Find two places where the line neatly intersects the graph. For example, we will use the points: (0 , 0) and (4 , 1)

slope = change in y / change in x

[tex]slope = \frac{(y_{1} -y_{2} )}{(x_{1} -x_{2} )}[/tex]

slope = (0 - 1) / (0 - 4)

slope = -1 / -4

slope = 1/4

Answer: 1/4

Step-by-step explanation:

I just did it

A fisherman is measuring the amount of bait he has remaining, y, in his bucket he puts 20 peices of bait in his bucket at the beginning of his fishing trip and uses 2 pieces every hour, x.

What is the slope for this linear relationship and what does it mean in this situation?

A. -2; the amount of bait decreases by 2 pieces each hour
B. 2; the amount of bait increases by 2 pieces each hour
C. -20; the amount of bait in the bucket when the fishing trip began
D. 20; the amount of bait in the bucket when the fishing trip began​

Answers

Answer:

A

Step-by-step explanation:

bait left = 20 - 2x     where x = hours      slope = -2   answer A

Given f(x) = -x - 5 find f (0)

Answers

Answer: f(0)=-5

Step-by-step explanation:

f(0) means that x = 0

sub in 0 into the equation

f(0)=-0-5

f(0)=-5

Answer:

f(0) = -5

Step-by-step explanation:

Given f(x) = -x - 5

In order to find f(0), you need to replace x with 0

so f(0) = -(0) - 5

f(0) = -5

Answer and explain your answer.

Answers

With the help of Geometry We would make Australia 200 miles more wider.

What is geometry?

Geometry is a branch of mathematics that is concerned with the study of shapes, sizes, and relative positions of figures and the properties of space. It is one of the oldest branches of mathematics that has been around for centuries and is still relevant today. Geometry is used to explain many aspects of our lives, from the size of buildings and bridges to the path of a baseball in flight. It is a powerful tool for problem solving and understanding the world around us. Geometry is based on axioms, or accepted truths, that are used as the basis for forming logical proofs. These proofs are used to develop theorems and formulas which help us to understand and explain our world.

We would make Australia 200 miles more wider too or just give 200 miles long US to some other country to make their sizes equal.

Hence, we would make Australia 200 miles more wider

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Write 0.006655 in scientific notation

Answers

Answer: 6.655 * 10^-3

Step-by-step explanation:

0.006655 in scientific notation

6.655 × 10³

-\sqrt(16x^(2)) if x<0

Answers

Therefore ,  [tex]-4|x|[/tex]   is the square root of [tex]-\sqrt{16x^{2} }[/tex]

what is square root?

When a number is multiplied by itself, the result is known as the square root of the number. To represent the square root, use the radical symbol. For illustration, [tex]\sqrt[/tex]16 = 4. Another name for the radical sign is the root symbol or surds.

given

- [tex]\sqrt{16x^{2}[/tex] when [tex]x[/tex] < 0,

In order to solve the given expression we will take the square root of the term inside the root.

Perfect squares (squares of integers) make up the word in the square root, thus we can express it as a square of the numbers.

⇒  [tex]-\sqrt{(4x)^{2} }[/tex]    [ as [tex](4x)^{2}[/tex] = [tex]16x^{2}[/tex]]

On taking square root the square gets removed. So, we have,

[tex]-|4x|[/tex]  =[tex]-4|x|[/tex]

Since , so the value would be negative.

Therefore , [tex]-4|x|[/tex] is the square root of [tex]-\sqrt{16x^{2} }[/tex]

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a map has a scale of 1cm to 12km

on a map ,the distance between cardiff and london is 20cm

what is the real distance,in km, between cardiff and london

Answers

By using the given scale, we will see that the real distance is 240km

What is the real distance between Cardiff and London?

We know that the scale of the map is 1 cm to 12km, so we just need to take the distance in centimeters on the map, and multiply that number by 12 km.

We know that on the map, the distance between Cardiff and London is 20cm, then the real distance is 12km times that, so we will get:

real distance = 20*12km = 240km

The real distance between Cardiff and London is  240 kilometers.

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In Exercises 1-3, decide whether enough information is given to prove that the triangles are congruent using either the SSS Congruence Theorem (Theorem 5.8) or the HL Congruence Theorem (Theorem 5.9). Explain.

Answers

The congruency proofs that can be used for each of the triangles are;

1) SSS Congruency

2) None

3) HL Congruence

How to prove the triangle congruency postulate?

1) The SSS congruency postulate states that If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent.

Now, we see that we are shown 2 corresponding sides that are congruent. However, the third side is automatically congruent using the reflexive property of congruence.

Thus, we conclude that the congruency can be proved using SSS Congruency postulate.

2) In this one, we are given 2 congruent sides and the included angle and so it is SAS Congruency and neither SSS nor HL congruency can be used.

3) The HL congruence Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

In this case, we see that the hypotenuse is congruent to itself by reflexive property of congruence while the one leg is also congruent and so we can use HL Congruence Theorem

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How can you find 50% of a number quickly in your head?

Answers

Answer:

Divide by 2

Step-by-step explanation:

In nonlinear models, the expected change in the dependent variable for a change in one of the explanatory variables is given by A. Delta y = f(x_1 + x_1, x_2, ....., x_k) - f(x_1, x_2, ... x_k). B. Delta Y = f(x_1 + Delta x_1, x_2, ...., x_k) - f(x_1, x_2, .... x_k). C. Delta Y = f(x_1 + Delta x_1, x_2 + Delta x_2, ...., x_k + Delta x_k) - f(x_1, x_2, ...., x_k). D. Delta Y = f(x_1 + x_1, x_1, .... x_k).

Answers

The expected change in the dependent variable for a change in one of the explanatory variables in a nonlinear model is given by Delta Y = f(x_1 + Delta x_1, x_2, ...., x_k) - f(x_1, x_2, .... x_k).

Any attribute that can have different values, such as height, age, temperature, or test results, is referred to as a variable in research.

To assess the causality of relationships, researchers frequently modify or measure independent and dependent variables in studies.

The cause is the independent variable. Its value is unaffected by the other study variables.

The effect is the dependent variable. Changes in the independent variable affect its value.

A dependent variable is one that is altered as a result of the modification of an independent variable. Your independent variable "depends" on the outcome you're interested in measuring.

Dependent variables are also referred to as:

.response elements (they respond to a change in another variable)

.outcome factors (they represent the outcome you want to measure)

.Left-side parameters

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The expected change in the dependent variable for a change in one of the explanatory variables in a nonlinear model is given by Delta Y = f(x_1 + Delta x_1, x_2, ...., x_k) - f(x_1, x_2, .... x_k).

Any attribute that can have different values, such as height, age, temperature, or test results, is referred to as a variable in research.

To assess the causality of relationships, researchers frequently modify or measure independent and dependent variables in studies.

The cause is the independent variable. Its value is unaffected by the other study variables.

Effect is the dependent variable. Changes in the independent variable affect its value.

A dependent variable is one that is altered as a result of the modification of an independent variable. Your independent variable "depends" on the outcome you're interested in measuring.

Dependent variables are also referred to as:

.response elements (they respond to a change in another variable)

.outcome factors (they represent the outcome you want to measure)

.Left-side parameters

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Given the function g(x) = |x-3|, desvribe the graph of function

Answers

Answer:

The graph will be a V shape

Step-by-step explanation:

The graph will be a V shape because of the absolute value

Find the measure of triangle ABD from given figure

Answers

You didn’t give a figure ?

Differentiate with respect to x
a) 2 + sin x​

Answers

Answer:

cos x

Step-by-step explanation:

d( 2 + sin x )/DX

= d( 2 )/dx + d( sin x )/dx

= 0 + cos x

= cos x

Note : -

Differentiation of any number with respect to any variable ( here x ) is 0.Differentiation of sin x is cos x.d/dx is the notation to denote Differentiate with respect to x.

Solve: 2x - 3= 2x - 5

A infinitely many solutions
B no solution
C 5/3
D 0
E -2

Answers

When solving you will get -3=-5

Therefore it’s false

Option B [no solution]

NO LINKS!! Please help me with these questions. Part 3cc

3. Loretta is a single mom with two kids. On 2009, her gross income was $61,840. She filed her taxes as Head of Household and claimed herself and her 2 children. Using the tables above, find Loretta's taxable income.

4. Mike and Lisa are a married couple with 2 kids. On 2009, they made $79,480. They filed jointly. Find Mike and Lisa's taxable income. ​

Answers

Answer:

3.  $42,540

4.  $53,480

Step-by-step explanation:

Question 3

Income

Gross income = $61,840

Allowances

Head of household (2009) = $8,350

Single with 2 dependents = $3,650 + $3,650 · (2) = $10,950

Total allowances = $8,350 + $10,950 = $19,300

Taxable Income

Gross income - total allowances = $61,840 - $19,300 = $42,540

Question 4

Income

Gross income = $79,480

Allowances

Married filing jointly (2009) = $11,400

Married with 2 dependents = $7,300 + $3,650 · (2) = $14,600

Total allowances = $11,400+ $14,600 = $26,000

Taxable Income

Gross income - total allowances = $79,480 - $26,000 = $53,480

4. The wholesale price of a commodity for seven consecutive days in month is as follows: Days: 2 3 4 5 6 7 1 260 270 245 255 286 264 Commodity Price: 240 Calculate variance and standard deviation. 5. Calculate the standard deviation and variance from the following frequency distribution X: 10 12 14 16 18 20 22 F: 3 5 9 16 8 7 2 6. 6.Calculate Standard Deviation from the following Distribution C.I.: 10-20 20-30 30-40 40-50 50-60 60-70 70-80 8 Freq: 4 8 16 12 6 4

Answers

The variance is 206 and standard deviation is 14.353.

In the given question, we have to find the standard deviation and variance from the following frequency distribution X.

Days:                          1         2         3         4         5         6         7

Commodity Price:    240    260    270    245     255     286    264

x                                (x-X)                             (x-X)^2

240                    (240-260) = -20                   400

260                    (260-260) = 0                        0

270                    (270-260) = 10                      100

245                    (245-260) = -15                     225

255                    (255-260) = -5                      25

286                    (286-260) = 26                     676

264                    (264-260) = 4                        16

Total = 1820                                                    Σ(x-X)^2 = 1442

X = Total of x/total number

X = 1820/7

X = 260

Variance = Σ(x-X)^2/n

Variance = 1442/7

Variance = 206

Standard Deviation = √(Variance)

Standard Deviation = √206

Standard Deviation = 14.353

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If a random variable that is normally distributed has a mean of 25 and a standard deviation of
3, convert the given value to a z-score.
a. x = 23
b. x = 33
c. x = 19
d. x = 45

Answers

Answer:

Step-by-step explanation:

To convert a value to a z-score, you need to subtract the mean and divide by the standard deviation. Here is how to convert each value to a z-score:

a. x = 23: (23 - 25) / 3 = -0.67

b. x = 33: (33 - 25) / 3 = 2.33

c. x = 19: (19 - 25) / 3 = -1.67

d. x = 45: (45 - 25) / 3 = 6.67

Therefore, the z-scores are -0.67, 2.33, -1.67, and 6.67 for values a, b, c, and d respectively.

A new cure has been developed for a certain type of cement that should change the mean compressive strength.It is known that a standard deviation is 130 kg/cm2and we may assume normal distribution. 9 pieces of cementhave been tested and the observed sample mean is ¯X= 4970. Find the 95% confidence interval for the mean.
(a) [4858.37,5081.63] (b) [4885.07,5054.93] (c) [4858.37,5054.93]
(d) [4944.52,4995.48] (e) [4858.37,5054.93]

Answers

(a) The 95% confidence interval for the mean of the compressive strength is 4885.1 < μ < 5054.9.

(b) The 95% confidence interval for the mean of compressive strength is 4975.2 < μ < 5012.4.

a) We have to find the 95% confidence interval for the mean of the compressive strength.

we are given

x = sample mean = 4970

n = sample size = 9

σ = population standard deviation = 130

The 95% confidence interval for population mean is

x - Z​​​​​​a/2*(σ/√n) < μ < x + Z​​​​​​a/2*(σ/√n)

For a = 0.05 Z​​​​​​a/2 = Z​​​​​​0.025 = 1.96

4970 - 1.96*(130/√9) < μ < 4970 + 1.96*(130/√9)

4885.1 < μ < 5054.9

Hence, the 95% confidence interval for the mean of the compressive strength is 4885.1 < μ < 5054.9.

b) We have to find the 95% confidence interval for the mean of the compressive strength.

Since the population's standard deviation is unknown in this instance, the population mean's t confidence interval is used.

From the data n = 9

X = sample mean = 4993.8

s = sample standard deviation = 24.2

For a= 0.05 and degree of freedom = n -1 = 8

t​​​​​​a/2 , n-1 = t​​​​​​0.025,8 = 2.306

x - t​​​​​​a/2*(s/√n) < μ < x + t​​​​​​a/2*(s/√n)

4993.8 - 2.306*(24.2/√9) < μ < 4993.8 + 2.306*(24.2/√9)

4975.2 < μ < 5012.4

Hence, the 95% confidence interval for the mean of compressive strength is 4975.2 < μ < 5012.4.

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The complete question is:

A new cure has been developed for a certain type of cement that should change its mean compressive strength.

a) It is known that the standard deviation of the compressive strength is 130 kg/cm^2 and that we may assume that it follows a normal distribution. 9 chunks of cement have been tested and the observed sample mean is X = 4970. Find the 95% confidence interval for the mean of the compressive strength.

b) Now, assume that we do not know the standard deviation of the normal distribution. 9 chunks of cement have been tested, and the measurements are 5001, 4945, 5008, 5018, 4991, 4990, 4968, 5020, 5003. Find the 95% confidence interval for the mean of the compressive strength.

Please show me how to solve this problem?

Answers

Answer:

I think you forgot to show us the problem

Solve the following inequality.8x-5>13-x

Answers

Answer:

x > 2

Step-by-step explanation:

8x - 5 > 13 - x             Add x to both sides

8x + x - 5 > 13 - x + x

9x - 5 > 13                   Add 5 to both sides

9x - 5 + 5 > 13 + 5

9x > 18  Divide both sides by 9

[tex]\frac{9x}{9}[/tex] > [tex]\frac{18}{9}[/tex]

x > 2

Answer:

x>2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

John started a home delivery service from several local restaurants. He charges a $5 tip on the delivery, plus $0.75 for every mile he travels.

Write an equation for the function that relates the total cost of a trip to the distance.

Answers

Answer:

y = total cost

x = mile

y = 5 + 0.75x

Step-by-step explanation:

heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ  -{ elyna s }-

Answer: y = 5 + 0.75x

Step-by-step explanation:

A dog allergy test for people has a 98% accuracy rate. Only one percent of the population has an allergy to dogs actually it is much smaller than that. Use a group of 100,000 people who have taken the test and the information provided to complete the table and answer the following question if you tested positive what is the probability you have a dog allergy

Answers

The probability that one has a dog allergy when tested positive will be 0.3311.

What do you mean by probability?

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty.

According to the given question,

We have the given information:

1% of the population has an allergy to dogs.

This will be:

= 1% × 100000

= 1000

So, 1000 people have an allergy to dogs.

The number of people who doesn't have allergy to dogs will be:

= 100000 - 1000

= 99000

Those that have allergies = 2% × 1000 = 20

So, the probability that one has dog allergy will be:

= P(has allergy and test positive)

= (0.01 × 0.98) + (0.098 + 0.0198)

= 0.0098/0.0296

= 0.3311

Therefore, the probability is 0.3311.

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I’ll give BRAINLIEST if correct pls need ASAP

Part A: given the function
g(x) = |x+3| describe the graph of the function including the vertex domain and range

Part B: if the parent function
f(x) = |x| is transformed to
h(x) = |x| - 2 what Transformation occurs from
f(x) to h(x) how are the vertex and range of h(x) affected

Answers

Answer:

A)   The graph of function g(x) is V-shaped and has the following properties:

The vertex is (-3, 0)The axis of symmetry is x = -3The domain is the set of all real numbers: (-∞, ∞)The range is [0, ∞)

B)  Translation of 2 units down.

Therefore:

The vertex is (0, -2)The range is [-2, ∞)

Step-by-step explanation:

The absolute value parent function, f(x) = |x|, is defined as:

[tex]f(x)=\begin{cases}x \; &\text{if}\;x > 0\\0 \; &\text{if} \; x=0\\-x\; &\text{if}\;x < 0\end{cases}[/tex]

Therefore:

The slope of the line where x > 0 is positive.The slope of the line where x < 0 is negative.

Its graph is V-shaped and has the following properties:

The x-intercept and y-intercept are at the origin (0, 0).The vertex is at the origin (0, 0).The axis of symmetry is x = 0 (y-axis).The domain is the set of all real numbers: (-∞, ∞).The range is the set of all real numbers greater than or equal to 0:  [0, ∞).

Part A

Given absolute value function:

[tex]g(x)=|x+3|[/tex]

The graph of function g(x) is the parent function f(x) translated 3 units to the left.

As the graph has only been translated horizontally, the domain and range are the same as the parent function.

Therefore, the graph of function g(x) has:

Vertex = (-3, 0)Domain = (-∞, ∞)Range = [0, ∞)Part B

Given absolute value functions:

[tex]f(x)=|x|[/tex]

[tex]h(x)=|x|-2[/tex]

The graph of function h(x) is the parent function f(x) translated 2 units down.

As the graph has been translated vertically, the domain is the same as the parent function, but the vertex and range are different.

The y-value of the vertex of h(x) is 2 less than f(x).
Therefore, the vertex is (0, -2).The minimum value of range of h(x) is 2 less than f(x).
Therefore, the range is [-2, ∞).

A random sample of 55 standard hotel rooms in the Philadelphia area has a mean nightly cost of $154.17. From previous studies, it has been found that the standard deviation of the price of all hotel rooms in Philadelphia is $38.60. Construct a 99% confidence interval for the population mean cost . Round to the nearest penny. Show work below . (5 points )

Answers

The 99% confidence interval for the population mean cost is 38.37 to 269.97.

What is confidence interval?

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.

Given that the standard hotel rooms in the Philadelphia area has a mean nightly cost of $154.17.

The standard deviation of the price of all hotel rooms in Philadelphia is $38.60.

According to the empirical rule,

P(μ - 3σ ≤ X ≤ μ - 3σ) = 99%.

Here μ = 154.17 and σ = 38.60.

Calculating the confidence interval:

154.17 -  (3 × 38.60) ≤ X ≤ 154.17 + (3 × 38.60)

38.37 ≤ X ≤ 269.97

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Please Help!!

Jamie and Hudson took a road trip to the beach. Their total distance traveled after getting on the highway can be found using the function d(h)=55h+10, where h is the number of hours they have been driving on the highway.

1) Explain why the relationship between total distance and hours is a function.

2) Is this function continuous or discrete? Explain how you know.

3) If the girls can drive a maximum of 8 hours, what is the domain for the function? Explain your answer.

4) If the girls can drive a maximum of 8 hours, what is the range for the function? Explain your answer.

5) Create a graph that models this function. Be sure to include a title and to label your x- and y-axis with the variable names, not just x and y.

6) What is the slope of the function? What does it represent?

7) What is the y-intercept? What does it represent?

Answers

The total distance is an illustration of a linear function.

(1) Why the relationship is a function

The relationship is a function because all input values of h, have exactly one corresponding output value of d

(2) The function type

The function is a discrete function, because the number of hours is an integer, and it cannot take decimal values (in this case)

(3) The domain for a drive of 8 hours

The domain is the set of time the girls drive.

So, the domain is: [0,8]

(4) The range

The function is given as:

d= 55h + 10

When h = 0,

d = 55(0) + 10 = 10

When h = 8,

d =  55(8) + 10 = 450

So, the range is: [10,450]

(5) The graph

Sorry

(6) The slope

A linear function is represented as:

y = mx + c

Where:

m represents the slope.

So, by comparison:

Slope = 55

The slope in this case represents the distance travelled per hour

(7) The y-intercept

In (6) above, c represents the y-intercept.

So, by comparison:

c = 10

The y-intercept in this case represents the initial distance

The two graphs shown below detail the results of two independent response polls studying favorite movie genres.
Which genre had the same number of votes in each study?
a. action
b. horror
c. mystery
d. not enough information
Please select the best answer from the choices provided
• A
• B
• C
• D​

Answers

The genre which had the same number of votes in each study is: B. horror.

What are the types of graph?

In Mathematics, there are different types of graph and these include the following:

Box and whisker plotScatter plotBar graphDot graphLine graphHistogramPie chart

What is a pie chart?

A pie chart can be defined as a type of graph that is used for the graphical representation of the proportion relationship between each part or unit to a whole, especially by dividing a circle into various sectors.

From the bar chart, the number of votes for horror movie is equal to 40 votes. Next, we would calculate the number of votes for horror movie in the pie chart as follows;

Number of votes = 16/100 × 250

Number of votes = 0.16 × 250

Number of votes = 40 votes.

In conclusion, we can logically deduce that horror is a movie genre that has the same number of votes in each independent study.

Read more on pie chart here: brainly.com/question/23608372

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I rent a gym for $150 for 30 students. Another time I rent the gym for $350 for 70 students. What is my rate per student?

Answers

Answer:

The rate is 5 dollars per student.

Step-by-step explanation:

The rate per student can be found with [tex]\frac{dollars}{student}[/tex]:

[tex]\frac{150dollars}{30student}=5\frac{dollars}{student}\\\\\frac{350dollars}{70student}=5\frac{dollars}{student}[/tex]

The rate is 5 dollars per student.

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