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Answer:

Step-by-step explanation:

The volume of the cylinder is \((\pi)(14^{2})(42)=8232\pi\).

The volume of the hemisphere is \(\frac{2}{3}(\pi)(14^{3})=\frac{5488}{3}\pi\).

Adding these together gives the exact volume to be \(\frac{30184\pi}{3}\).

To the nearest tenth, this is 31608.6 square feet.

Answer:

B

D

D

Step-by-step explanation:

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you can start by dividing the total length of the road by the distance that can be repaired per week:

13 km ÷ 3 1/2 km/week = 3.71 weeks

Rounding up, it will take 4 weeks to repair the entire 13 km stretch of road.

The sine function of the given features is F(x) = 4sin(x-3)

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

F(x) = +-Atimessin(b(x+C)) + D

This means that

F(x) = Asin(b(x+C)) + D

Where

A = amplitude

been shifted to the right 3 units and has and amplitude of 4 means

A = 4 and C = -3

So, we have

F(x) = 4sin(x-3)

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The roster method of the set A' = {14, 15, 20}

The roster method is defined as a way to show the elements of a set by listing the elements inside of brackets.

A typical example of the roster method is to write the set of numbers from 1 to 5 as {1, 2, 3, 4, 5}.

Therefore,

U = universal sets = {14, 15, 16, 17, 18, 19, 20}

A = {16, 17, 18, 19}

Therefore, let's find A' as follows:

A' is the value not in A. Hence, in roster method.

A' = {14, 15, 20}

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0.21094 is the probability that the surgery is successful on exactly 3 patients.

It is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

According to the given question,

Let Y = The number of patients who respond yes: \(Y - Bin (n,p)\)

Given , \(n = 4 , p = 0.75 , q = 1 - p = 0.25\)

\(P (Y = 3) = \left(\begin{array}{ccc}4\\3\\\end{array}\right) (0.75)^{2}(0.25)^{4-3} \\ = 0.21094\\\\\)

The probability that the surgery is successful on exactly 3 patients is 0.21094

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The missing value for the quadratic function is given as follows:

y = -3.

As a function of it's roots x* and x**, the quadratic function is defined as follows:

y = a(x - x*)(x - x**)

In which a is the leading coefficient.

The roots of the function are the values of x when y = 0, hence:

x* = -4, x** = -2.

Thus:

y = a(x + 4)(x + 2)

y = a(x² + 6x + 8).

When x = 0, y = -8, hence the leading coefficient a of the function is given as follows:

8a = -8

a = -1.

Hence:

y = -x² - 6x - 8;

The missing value is the value of y when x = -1, hence:

y = -(-1)² - 6(-1) - 8

y = -3.

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Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:

2x² - x - 10 = 0

This equation can be factored as:

(2x + 5)(x - 2) = 0

Setting each factor equal to zero, we get:

2x + 5 = 0 => 2x = -5 => x = -5/2

x - 2 = 0 => x = 2

Therefore, the x-intercepts of the graph of f(x) are x = -5/2 and x = 2.

Part B: The vertex of the graph of f(x) can be determined using the formula x = -b/2a, where a and b are the coefficients of the quadratic equation in standard form (ax² + bx + c = 0).

In this case, a = 2 and b = -1. Plugging these values into the formula, we have:

x = -(-1) / (2 * 2) = 1/4

To determine if the vertex is a maximum or a minimum, we can examine the coefficient of the x² term. Since the coefficient a is positive (a = 2), the parabola opens upwards, and the vertex represents a minimum point

Therefore, the vertex of the graph of f(x) is (1/4, f(1/4)), where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).

Part C: To graph f(x), we can follow these steps:

Plot the x-intercepts: Plot the points (-5/2, 0) and (2, 0) on the x-axis.

Plot the vertex: Plot the point (1/4, f(1/4)) as the vertex, where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).

Determine the direction of the graph: Since the coefficient of the x² term is positive, the graph opens upwards from the vertex.

Determine additional points: Choose a few x-values on either side of the vertex and calculate their corresponding y-values by substituting them into the equation f(x). Plot these points on the graph.

Draw the graph: Connect the plotted points smoothly, following the shape of the parabola. Ensure the graph is symmetrical with respect to the vertex.

The answers obtained in Part A (x-intercepts) and Part B (vertex) provide crucial points to plot on the graph, helping us determine the shape and position of the parabola.

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The x-intercepts from the graph attached are

The vertex  from the graph attached is

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:

2x² - x - 10 = 0

x = (-b ± √(b² - 4ac)) / (2a)

a = 2, b = -1, c = -10

Plugging these values into the quadratic formula:

x = (-(-1) ± √((-1)² - 4 * 2 * (-10))) / (2 * 2)

x = (1 ± √(1 + 80)) / 4

x = (1 ± √81) / 4

x = (1 ± 9) / 4

x₁ = (1 + 9) / 4 = 10 / 4 = 2.5

x₂ = (1 - 9) / 4 = -8 / 4 = -2

Therefore, the x-intercepts of the graph of f(x) are 2.5 and -2.

Part B

To find the coordinates of the vertex, we can use the formula:

x = -b / (2a)

x = -(-1) / (2 * 2) = 1 / 4 = 0.25

we substitute this value back into the original function:

f(0.25) = 2(0.25)² - 0.25 - 10

f(0.25) = 0.125 - 0.25 - 10

f(0.25) = -10.125

Therefore, the vertex of the graph of f(x) is located at (0.25, -9.125).

Part C: The steps to graph f(x) include:

Plotting the x-intercepts: Based on the results from Part A, we know that the x-intercepts are 2.5 and -2. We mark these points on the x-axis.

Plotting the vertex: Using the coordinates from Part B, we plot the vertex at (0.25, -9.125). This represents the minimum point of the graph.

Drawing the shape of the graph: Since the coefficient of the x² term is positive, the graph opens upward. From the vertex, the graph will curve upward on both sides.

Additional points and smooth curve: To further sketch the graph, we can choose additional x-values and calculate their corresponding y-values using the equation f(x) = 2x² - x - 10. Plotting these points and connecting them smoothly will give us the shape of the graph.

By using the x-intercepts and vertex obtained in Part A and Part B, we have the necessary information to draw the graph accurately and show the key features of the quadratic function f(x)

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The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.

To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).

In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.

Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:

2n = 60

Solving this equation, we find:

n = 60/2 = 30

Thus, the value of n is 30.

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Answer:

56%

Step-by-step explanation:

This is because the question you need to ask yourself is: 14 is what percent of 25? and the way you solve that is making it 14/25 and then all percents are out of 100 so you need to change the fraction to over 100 so just multiply by 4 (because 25 x 4 is 100) and you get 56/100, which means 56%.

Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Firstly, convert this percentage into a decimal. All you have to do is move the decimal point two digits to the left.

Your percentage is currently 140.00. The decimal would be 1.40.

Next, take the given number (15 in this case) and multiply it by the decimal number:

15 * 1.40 = 21.

Hope this helped!

Answer:

20/3 ≈ 6.66

Step-by-step explanation:

20÷3= 20/3 ≈6.66

Answer:

mankinmd

Step-by-step explanation:

Answer:

7.1

Step-by-step explanation:

u need to divided 43÷6 which gives u 7.1

Answer:

y= 0.5x + 8.2

$13.6 per hour

Step-by-step explanation:

(Is it weird that I had the same exact question? Maybe not. But I also found another person with the same question as me. It was a different question though. This is probably too late. But I'm just gonna try to answer it for anyone who needs it.

"Linear regression" is just a fancy word for scatter plots. Scatter plots take place in graphs. The dots or plots are scattered and the way they are scattered means something. If it's going down, it's negative, up it's positive, and if it's scattered, it has no corrolation.

Also, you should have learned this in 9th grade. So, check your notes.

If you don't have it, WRITE IT!!!

To find it in your calculator:

1. Go to "Lists and Spreadsheets"

2. Rename the first column "x" and the second on "y"

3. Write all of your numbers in the right column

1, 5, 3, 7 under the "x"

8.67, 10.50, 9.58, 11.41 under the "y"

4. Move your cursor to an empty cell

4. Click: "MENU" #4 #1 #3

5. Rename the correct rows "x" and "y" and press enter

6. Now you can find "m" and "b"

7. Then move your cursor to an empty cell and click "doc" "insert" #7

8. Find the x-axis and find "x"

9. Find the y-axis and find "y"

10. Now press "MENU" #4 #6 #1

And you found your y=mx+b: y=0.5x+8.2

Now, how much money per hour.

So you've found your m and b but now you have to:

1. Replace y with 15 and solve it

15=0.5x+8.2

-8.2       -8.2

6.8=0.5x

Divide 0.5 on both sides

6.8/0.5=13.6

13.6=x

$13.6 per hour

Answer:

f(x) = -3/2 x - 2

Step-by-step explanation:

The line rises to the left so the slope is negative, also:

the slope of the line is -3/2 and the y-intercept is at (0, -2)

Answer:it’s b

Step-by-step explanation:

Answer:

x = -1/3 and x = 3

Step-by-step explanation:

I'm not sure, but I think you mean 3x^2 - 8x - 3 = 0

In that case:

1. Add 3 on both sides

3x^2 - 8x -3 + 3  = 3 -> 3x^2 - 8x  = 3

2. Divide both sides by 3

x^2 - 8/3x  = 1

3. Add ((8/3)/2)^2 to both sides

x^2 - 8/3x + ((8/3)/2)^2 = 1 + ((8/3)/2)^2

4. Simplify

x^2 - 8/3x + (4/3)^2 = 1 + (4/3)^2

x^2 - 8/3x + 16/9 = 1 + 16/9

5. Rewrite x^2 - 8/3x + 16/9 = 1 + 16/9  as a perfect square

and simplify 1 + 16/9

(x - 4/3)^2 = 25/9

6. Find the square root of both sides

\(\sqrt{ (x -4/3)^2} = \sqrt{25/9}\)

7. Simplify

(x - 4/3) = ±5/3

8. Rewrite the equation as two seperate equations

(x - 4/3) = ±5/3 ->

a. (x - 4/3) = 5/3

b. (x - 4/3) = -5/3

9. Solve for x by isolating the variable (add 4/3 to both sides)

a. x = 5/3 + 4/3

b. x = - 5/3 + 4/3

10. Simplify

a. x = 9/3 -> x = 3

b. x = -1/3

Answer:

11 x 2^3 =11 x 2 x 2 x 2 = 88

Step-by-step explanation:

88

11 8

   2 4

      2 2

Use a factor tree it helps a lot :0).

Answer:

a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C

a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C

b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C

b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C

The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.

Weekly salary = Hourly pay rate * Number of hours worked

Weekly salary = $12/hour * 20 hours

Weekly salary = $240

So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

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Answer:

5

Step-by-step explanation:

Answer:

B becouse he earns 350 and spends 300 so he is earning 50 extra

Step-by-step explanation:

Answer:

B. DeMarcus earns $350 per week, and his weekly costs are $300.

Step-by-step explanation:

The minimum income necessary for a worker to meet their cost-of-living expenses and to provide some discretionary income.

Therefore, a person earns a living wage if their earnings are greater than their weekly costs.

The only person who earns more than their weekly costs is DeMarcus.

Since DeMarcus earns $350 per week and his weekly costs are $300, his income is enough to meet his basic needs with $50 left over.

Without additional information about the model house, it is impossible to accurately describe the surface that Molly does not need to paint. It could be any surface that will not be visible when the model house is displayed, such as the underside of a roof, the back of a wall, or the bottom of a floor.

Answer:

The first coal mine worker is 650 feet below, so they're -650 ft.

The second coal mine worker is 7 feet above, so they're +7 ft.

| -650 | = 650 ft

| 7 | = 7 ft

650 > 7, so the first worker is farther from the surface.

The multiplication expression with eight rational factors are ''positive''.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Jared writes a multiplication expression with eight rational factors. Half of the factors are positive and half are negative.

Since, Multiplication of four positive numbers are always gives a positive number and multiplication of four negative numbers are always gives a positive number.

Hence, The multiplication expression with eight rational factors are positive.

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Answer:

20 is the longer piece, and 9 is the shorter piece

Step-by-step explanation:

9*2=18

18+2=20

20+9

The way that the experimental probability of rolling a 3 compares with the theoretical probability of rolling a 3 is;

A: The experimental probability of rolling a 3 is StartFraction 1 over 30 EndFraction greater than the theoretical probability of rolling a 3

Theoretical probability is the term defined as what we expect to happen based on math theory. Whereas, experimental probability refers to what actually happens when the actual situation is tried out as an experiment.

The table with the frequency is given as;

# Number Cube             # Observed Frequency

          1                                           18

          2                                          16

          3                                          24

          4                                          26

          5                                          16

          6                                          20

       Total                                      120

The theoretical probability of rolling a three = 1/6

The experimental probability = 24/120 = 1/5

Difference = (1/5) - (1/6)

= 1/30

Thus, the experimental probability is greater than the theoretical probability by 1/30

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Answer:the experimental probability is greater than the theoretical probability by 1/30

Step-by-step explanation:

To find the probability that Naomi selects both white balls, we need to consider the total number of possible outcomes and the number of favorable outcomes.

Total number of outcomes:

Naomi selects 2 balls without replacement, so the total number of outcomes is the number of ways she can choose 2 balls out of the total number of balls in the bag. This can be calculated using combinations:

Total outcomes = C(20, 2) = (20!)/(2!(20-2)!) = (20 * 19)/(2 * 1) = 190

Number of favorable outcomes:

Naomi needs to select 2 white balls. There are 2 white balls in the bag, so the number of favorable outcomes is the number of ways she can choose 2 white balls out of the 2 white balls in the bag:

Favorable outcomes = C(2, 2) = 1

Probability = Favorable outcomes / Total outcomes = 1/190

Therefore, the correct answer is (G) 1/190.