f(x) = 3x²-x+ 5, 2f(-3) - f(4) =

If the width of the aqua ball is 16 feet, the volume of Kobe's aqua ball is approximately 2144.66 cubic feet.

To find the volume of Kobe's aqua ball, we need to know the radius of the ball. We can find the radius by dividing the width by 2, since the width is the diameter of the ball:

Radius = Width / 2 = 16 / 2 = 8 feet

Once we have the radius, we can use the formula for the volume of a sphere:

Volume = (4/3) x π x radius^3

Plugging in the radius, we get:

Volume = (4/3) x π x 8^3

Volume = (4/3) x π x 512

Volume ≈ 2144.66 cubic feet

To learn more about volume click on,

https://brainly.com/question/29221816

#SPJ4

Answer:

A fraction is essentially division, so 3/5 is the same as 3 ÷ 5

3÷5 = 0.6

\(5\sqrt{3\\\)

(imagine the square root is the divsion thing)

5 cannot go into 3 so the answer is a decimal

then add a zero at the end of 3 to make 30

   0.

\(5\sqrt{30\)

and 5 can go into 30, 6 times so you add a 6 to make 0.6

    0.6

\(5\sqrt{30\)

Since the problem does not specify the region r, we cannot provide a specific iterated integral. However, we can provide the general formulas for writing an iterated integral over a region using vertical or horizontal cross-sections.

a) For vertical cross-sections, we integrate with respect to x first, and then integrate with respect to y over the range of y values that correspond to each vertical strip of the region. The formula is:

∫∫ f(x,y) dA = ∫ [y_min(x), y_max(x)] ∫ f(x,y) dy dx

where y_min(x) and y_max(x) are the lower and upper bounds for y that correspond to the region bounded by the vertical line x.

b) For horizontal cross-sections, we integrate with respect to y first, and then integrate with respect to x over the range of x values that correspond to each horizontal strip of the region. The formula is:

∫∫ f(x,y) dA = ∫ [x_min(y), x_max(y)] ∫ f(x,y) dx dy

where x_min(y) and x_max(y) are the lower and upper bounds for x that correspond to the region bounded by the horizontal line y.

To know more about iterated integral refer here:

https://brainly.com/question/29632155

#SPJ11

Answer:

C. y=4/3x-1

Step-by-step explanation:

I plotted all equations on Desmos. A, B and D all had a solution with the equation of line a, they both had an interception so they were wrong. C. is the only that does not have an interception with line a. They didn't intercept and were parallel meaning that they will never touch or won't have a solution.

Answer:

9

Step-by-step explanation:

It is very simple, 3/4 * 2 = 1.5

If we take 1.5 and multiply it by the amount of batches being made (6), we will have our answer.

1.5*6 = 9, so there we have our answer.

Hope this helps!

Answer:

\((f+g)(x) = -8x-6\)

Step-by-step explanation:

We are given the two functions:

\(\displaystyle f(x) = -5x - 4 \text{ and } g(x) = -3x - 2\)

And we want to find:

\((f+g)(x)\)

Recall that this is equivalent to:

\(\displaystyle (f+g)(x) = f(x) + g(x)\)

Substitute and simplify:

\(\displaystyle \begin{aligned} (f+g)(x) &= (-5x-4)+(-3x-2) \\ \\ &= -8x-6 \end{aligned}\)

In conclusion:

\((f+g)(x) = -8x-6\)

A valid study is one that portrays the population being studied and measures what it is supposed to. It must use random sampling and produce expected results to be deemed a reliable source. However, such studies do not necessarily result in a causal relationship between the independent and dependent variables.

The primary goal of any study is to depict the population being investigated in an accurate and unbiased manner. This involves selecting an appropriate sample of the population to study. This is why a study must use random sampling, which means every member of the population has an equal chance of being selected. This helps avoid sample bias, which is when a sample is chosen in a way that it is not representative of the population, leading to incorrect or inaccurate conclusions.

A valid study must measure what it is supposed to, which means that the study should be designed to measure what it claims to measure. For instance, a study on the effects of sleep on memory should use measures that accurately assess memory and sleep. If the study is designed to assess memory but fails to do so, the results will be unreliable. Finally, a valid study verifies expected results.

This means that the study should produce results that are consistent with what is expected based on prior research or theory. However, this does not mean that a study necessarily results in a causal relationship between the independent and dependent variables. Rather, such a relationship can only be inferred if the study is well-designed and the results are properly analyzed and interpreted.

To know more about independent visit:

https://brainly.com/question/27765350

#SPJ11

To identify which triangles are congruent measure the angles and sides of each of the triangles and compare them.

In mathematics, the word congruent is used if two figures have the same size and shape, although their orientation can be different.

In the case of triangles two factors should be considered:

This means that to determine if the triangles are congruent, you must measure each side and angle and make sure these are the same in each triangle.

Learn more about triangles in: https://brainly.com/question/25813512

Answer:

It is rounded

Step-by-step explanation:

Answer:

It is already rounded up, unless you have forgotten the decimal point.

Step-by-step explanation:

Pick out the largest and the smallest integers from -3, -7, -42, 0, 5, 38, 11, -1, 15, -99

largest: 38

smallest: -99

The simplified ratio of corydoras catfishes to the total number of fish is 9:34, which is equivalent to 0.26:1 or approximately 1:3.88.

To find the ratio of corydoras catfishes to the total number of fish, we need to add up the number of corydoras catfishes to the total number of fish, and express the ratio as a simplified fraction.

The total number of fish is 7 + 12 + 4 + 11 = 34.

The ratio of corydoras catfishes to the total number of fish is 9:34.

To simplify this ratio, we can divide both sides by the greatest common factor, which is 1 in this case.

So the simplified ratio of corydoras catfishes to the total number of fish is 9:34, which is equivalent to 0.26:1 or approximately 1:3.88.

Learn more about ratio at https://brainly.com/question/12024093

#SPJ1

Answer:

x = -1.5 , y = 5.17

Step-by-step explanation:

Solve the system of equation using ELIMINATION (solve for x)

x + 3y = 14

-x + y = 10

Solution

x + 3y = 14 ------- equation 1  * 1

-x + y = 10 ------- equation 2  * 3

x + 3y = 14 ------- equation 3

-(-3x + 3y = 30)------ equation 4

Using the ELIMINATION METHOD.

x-(-3x) + 3y-3y = 14-30

4x = -6

x = \(\frac{-6}{4}\)

x = -1.5

Substuting -1.5 into equation one

x + 3y = 14

-1.5 + 3y = 14

Adding 1.5 to both sides

-1.5 + 1.5 +3y = 14 +1.5

+3y = 15.5

Dividing by the coeffient of y

\(\frac{3y}{3} = \frac{15.5}{3}\)

y = 5.166666666666

y =5.17

Therefore x = -1.5 , y = 5.17

Answer:

0.5

Step-by-step explanation:

1x1 = 1

1/2 of 1 = 0.5

Answer:

0.5

Step-by-step explanation:

1x1 = 1

(1/2) (1) = 0.5

Answer:

point form:

(25, -5)

Equation form:

x= 25, y= -5

The zero of the function m = 25p - 200 is, p = 8 represents her break even.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given,  He sells each painting for $25, and he spent $200 on supplies to make the paintings.

The function m = 25p - 200 represents the profit m that Julio earns after selling p paintings.

The zeroes of the function is when she break even,

At p = 8 means after selling 8 paintings she will have break even as,

m = 25(8) - 200.

m = 200 - 200.

m = 0.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ1

Answer:

-7 i hope this right

Step-by-step explanation:

Find the Greatest Common Factor (GCF).

GCF = 44

2 Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

4(\frac{4r}{4}-\frac{28}{4})4(

​4

​

​4r

​​ −

​4

​

​28

​​ )

3 Simplify each term in parentheses.

4(r-7)4(r−7)

Answer: 14

Step-by-step explanation:

Got it right in a test ‍

The total value of the furniture that was sold by Dennis is 3,500 dollars.

What is the percentage?

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Dennis made an extra $245.00 for selling furniture.

Let the cost of the furniture be x.

Let the total value of the furniture be x + 245.

The extra $245.00 was 7% of the total value of the furniture he sold.

0.07(x + 245) = 245

        x+ 245 = 3500

                  x = 3255

Then the total value of the furniture is (3,255 + 245 =) $3,500.

Hope it helped!

To find the exact length of the curve given by x = et − 9t, y = 12et/2, 0 ≤ t ≤ 3, we can use the arc length formula:
L = ∫(a to b) √[dx/dt]^2 + [dy/dt]^2 dt
Substituting the given values, we get:
L = ∫(0 to 3) √[e^t - 9]^2 + [6e^(t/2)]^2 dt
Simplifying the expression under the square root, we get:
L = ∫(0 to 3) √(e^(2t) - 18e^t + 81 + 36e^t) dt
L = ∫(0 to 3) √(e^(2t) + 18e^t + 81) dt
L = ∫(0 to 3) (e^t + 9) dt
L = [e^t + 9t] from 0 to 3
L = [e^3 + 9(3)] - [e^0 + 9(0)]
L = e^3 + 27 - 10.99
L ≈ 25.5
Therefore, the exact length of the curve is approximately 25.5 units.

Learn more about it here:

https://brainly.com/question/31642310

#SPJ11

Answer:

Step-by-step explanation:

false that is not at all true

Answer:

y = 4

Step-by-step explanation:

The researchers are using a Completely Randomized Design. The experimental design used by the researchers in the study is called a Completely Randomized Design.

This design involves randomly assigning participants to different treatments or groups, in this case, either receiving the new drug or a placebo. In this study, the numbers 1 to 200 were placed in a hat and each participant was asked to select a number. Those who picked an odd number received the new drug and those who picked an even number received the placebo. This type of design helps to ensure that the groups are similar in terms of their baseline characteristics, reducing the risk of confounding variables that might affect the results of the study. Completely Randomized Design is a popular choice for randomized controlled trials as it helps to increase the validity and reliability of the results.

Learn more about statistics here: brainly.com/question/29093686

#SPJ4

Complete question:

To test the effectiveness of a new, cholesterol-lowering drug, a group of researchers recruits 200 volunteers with high cholesterol to take part in a study. The researchers placethe numbers 1 through 200 in a hat and have each participant select a number. Those who picked an odd number receive the new drug, while those who picked an even numberreceive a placebo.Which experimental design are the researchers using?

Completely Randomized Design

Representative Sample Design

Matched-Pair Design

Randomized Block Design

Answer:

side length and perimeter of 1 face

area of 1 face and surface area

Step-by-step explanation:

Just did it

Answer:

Side length and perimeter of 1 face

Area of 1 face and surface area

The inverse of 3 modulo 11 is 7. Therefore, 3 * 7 ≡ 1 (mod 11).

To find the inverse of 3 modulo 11 using the extended Euclidean algorithm, we need to follow these steps:

Step 1: Write the given numbers in the form a and n.a = 3n = 11

Step 2: Apply the Euclidean algorithm to find the GCD of a and n.

3 = 11 * 0 + 3 (Divide 11 by 3 and get a quotient of 0 and a remainder of 3)11 =

3 * 3 + 2 (Divide 3 by 2 and get a quotient of 3 and a remainder of 2)3

= 2 * 1 + 1 (Divide 2 by 1 and get a quotient of 2 and a remainder of 1)2

= 1 * 2 + 0 (Divide 1 by 0 and get a quotient of 0 and a remainder of 1)

Therefore, GCD(3, 11) = 1.

Step 3: Apply the extended Euclidean algorithm to find the coefficients that satisfy the equation

a*x + n*y = gcd(a, n).3

= 11 - 3 * 34

= 3 - 2 * 15

= 2 - 1 * 2

Therefore, 1 = 3 - 2 * (11 - 3 * 3) = 7 * 3 - 2 * 11Step 4: Interpret the result.The inverse of 3 modulo 11 is 7. Therefore, 3 * 7 ≡ 1 (mod 11).

Know more about the inverse   here:

https://brainly.com/question/3831584

#SPJ11

Answer:

Slope is -4/5

Y-intercept is -2

Step-by-step explanation:

use equation y=mx+b

Answer:

$92

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

We can call the number x. 75% can be expressed as 0.75 so we can write the following equation: 0.75x = 24. Dividing both sides by 0.75 to get rid of the coefficient of x, we get that x = 32.

Answer:

32.

Step-by-step explanation:

Let's say the number we are trying to find is x.

24 = 0.75x

0.75x = 24

x = 24 / 0.75

x = 32

Hope this helps!

Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is 70π/3.

To find the area between the large loop and the small loop of the curve, we need to find the points of intersection of the curve with itself.

Setting the equation of the curve equal to itself, we have:

2 + 4cos(3θ) = 2 + 4cos(3(θ + π))

Simplifying and solving for θ, we get:

cos(3θ) = -cos(3θ + 3π)

cos(3θ) + cos(3θ + 3π) = 0

Using the sum to product formula, we get:

2cos(3θ + 3π/2)cos(3π/2) = 0

cos(3θ + 3π/2) = 0

3θ + 3π/2 = π/2, 3π/2, 5π/2, 7π/2, ...

Solving for θ, we get:

θ = -π/6, -π/18, π/6, π/2, 5π/6, 7π/6, 3π/2, 11π/6

We can see that there are two small loops between θ = -π/6 and π/6, and two large loops between θ = π/6 and π/2, and between θ = 5π/6 and 7π/6.

To find the area between the large loop and the small loop, we need to integrate the area between the curve and the x-axis from θ = -π/6 to π/6, and subtract the area between the curve and the x-axis from θ = π/6 to π/2, and from θ = 5π/6 to 7π/6.

Using the formula for the area enclosed by a polar curve, we have:

A = 1/2 ∫[a,b] (r(θ))^2 dθ

where a and b are the angles of intersection.

For the small loops, we have:

A1 = 1/2 ∫[-π/6,π/6] (2 + 4cos(3θ))^2 dθ

Using trigonometric identities, we can simplify this to:

A1 = 1/2 ∫[-π/6,π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ

Evaluating the integral, we get:

A1 = 10π/3

For the large loops, we have:

A2 = 1/2 (∫[π/6,π/2] (2 + 4cos(3θ))^2 dθ + ∫[5π/6,7π/6] (2 + 4cos(3θ))^2 dθ)

Using the same trigonometric identities, we can simplify this to:

A2 = 1/2 (∫[π/6,π/2] 20 + 16cos(6θ) + 8cos(3θ) dθ + ∫[5π/6,7π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ)

Evaluating the integrals, we get:

A2 = 80π/3

Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is:

A = A2 - A1 = (80π/3) - (10π/3) = 70π/3

To know more about area,

https://brainly.com/question/31479047

#SPJ11

Answer:

6x

Step-by-step explanation:

7x - x

6x