The surface area of a big ball is 4.5216m². Find the diameter of the ball.​

The runner's average speed is approximately 11.63 mph, which is slightly faster than 11 mph. So, the runner doesn't maintain exactly 11 mph throughout the entire race, but they are close.

If a runner completes a 6.2 mile race in 32 minutes, we can calculate their average speed by dividing the total distance by the total time.

6.2 miles ÷ 32 minutes = 0.194 miles per minute

To convert this to miles per hour, we need to multiply by 60 (the number of minutes in an hour):

0.194 miles per minute x 60 minutes = 11.63 miles per hour

So the runner must be running at an average speed of 11.64 miles per hour throughout the entire race in order to complete it in 32 minutes. This is an impressive pace and shows that the runner is very fit and capable of sustaining a fast speed for a relatively long distance.

A runner completes a 6.2-mile race in 32 minutes, and we are to determine if they maintain an 11 mph pace throughout the race. To do this, we need to convert the race time to hours and then divide the race distance by the time.

First, convert 32 minutes to hours:
32 minutes / 60 minutes/hour = 0.5333 hours

Next, calculate the average speed:
6.2 miles / 0.5333 hours ≈ 11.63 mph

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Answer:

dodododododododo

Step-by-step explanation:

Answer:

Haha lol

Have a wonderful day!

Step-by-step explanation:

Answer:

a) First graph

 The solution of the given inequalities -1 ≤ x ≤ 7

Step-by-step explanation

Given two inequalities

                             - 4 ≤ 3 x -1 ...(i)

                           2 x +4 ≤ 18 ...(ii)

From(i)

                        - 4 ≤ 3 x -1

Adding '1' on both sides , we get

                   - 4 + 1 ≤ 3 x - 1 +1

                  - 3 ≤ 3 x

Dividing '3' on both sides , we get

                 -1 ≤ x   ...(a)

From (ii)

                    2 x +4 ≤ 18

subtracting  '4' on both sides , we get

                  2 x + 4 - 4 ≤ 18 -4

                                2 x ≤ 14

dividing '2' on both sides, we get

                                 x ≤ 7 ..(b)

Now the solution of two inequalities From(a) and (b)

                             -1 ≤ x ≤ 7

Final answer:-

The graph of the two inequalities is first graph

Answer:

first graph or A

Step-by-step explanation:

took the test on edge! have a good day peeps:)

The candidate key for the relation schema R(A,B,C,D,E): A→B, C→B, D→A, D→B, D→C, C→D, D→E.

Candidate key for the given relation: To find the candidate key for the relation schema R(A,B,C,D,E), we need to follow the below steps:

Here, we have the following functional dependencies: A→B, C→B, D→ABC, AC→D, D→E.

Step 1: To normalize the given dependencies, we have the following dependencies:

A→B, C→B, D→ABC, AC→D, D→E becomes

A→B, C→B, D→A, D→B, D→C, D→E.

Step 2: To check for the minimal dependency, we can eliminate the redundancy by eliminating D→ABC. Therefore, we have the following dependency:

A→B, C→B, D→A, D→B, D→C, D→E.

Step 3: Find the closure on each attribute, which is as follows:

1. A+ = {A,B}

2. B+ = {B}

3. C+ = {B}

4. D+ = {A,B,C,D,E}

5. E+ = {E}

Step 4: The combination of attributes that have all attributes of the relation schema, and it will be a candidate key is AD. Therefore, the candidate key is AD.

Compute the minimal cover of F:

Minimal Cover: The minimal set of dependencies that is equivalent to the given set of dependencies is the minimal cover.

We have the following functional dependencies:

A→B, C→B, D→ABC, AC→D, D→E.

The process to compute the minimal cover of F is as follows:

Step 1: To find the redundant dependencies, we need to split the dependencies. We have the following dependencies:

A→B, C→B, D→ABC, AC→D, D→E  becomes

A→B, C→B, D→A, D→B, D→C, D→E.

Step 2: To eliminate the dependencies with three attributes, we can use the following steps:

If X→YZ, then X→Y and X→Z.

Therefore, we have the following dependency:

D→A, D→B, D→C.

Step 3: To eliminate the dependency with two attributes, we can use the following steps:

If X→Y and Y→Z, then X→Z.

We have the following dependency: AC→D, C→D.

Step 4: Therefore, the minimal cover of F is A→B, C→B, D→A, D→B, D→C, C→D, D→E.

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The volume of the solid is approximately (1 - 1/√2)π cubic units.

To find the volume of the solid obtained by rotating the region bounded by the curves y = sin(x), y = cos(x), and 0 ≤ x ≤ π/4 about the line y = 1, we can use the cylindrical shell method.

First, we need to determine the limits of integration. The curves intersect at x = π/4, so the integral will be evaluated over the interval [0, π/4].

For any value of x between 0 and π/4, the distance between the curves y = sin(x) and y = cos(x) and the line y = 1 is given by 1 - min(sin(x), cos(x)). Therefore, the volume of the cylindrical shell at x is V(x) = 2πr(x)h(x)Δx.

The radius of the cylindrical shell at x is r(x) = 1 - min(sin(x), cos(x)). The height of the cylindrical shell is h(x) = |sin(x) - cos(x)|.

The volume of the solid can be obtained by integrating the volumes of the cylindrical shells over the interval [0, π/4] as follows:

V = ∫0^(π/4) 2πr(x)h(x)Δx

= ∫0^(π/4) 2π(1 - min(sin(x), cos(x)))|sin(x) - cos(x)| dx

We can break up the integral into two parts based on the interval where sin(x) > cos(x) and the interval where sin(x) ≤ cos(x):

V = 2π ∫0^θ sin(x) cos(x) dx + 2π ∫θ^(π/4) cos(x) sin(x) dx,

where θ is the solution to sin(x) = cos(x), i.e., θ = π/4 - π/4√2.

Evaluating the integrals, we get:

V = 2π [(1/2)sin^2(x)]0^θ + 2π [(1/2)cos^2(x)]θ^(π/4)

= 2π [(1/2)(1/2 - 1/2cos^2(θ))] + 2π [(1/2)(1/2 - 1/2sin^2(θ))]

= π - π/√2

Therefore, the volume of the solid is approximately (1 - 1/√2)π cubic units.

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Answer:

121°

Step-by-step explanation:

they're basically the same

Answer:

121°

Step-by-step explanation:

Theorem of vertical angles state that the opposite angles formed by two intersecting lines are congruent.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

E 604,000

Have a nice day

The function that describes the sequence 4, −2, 1, −1, ... , 41 is given by:an = 10 - 6n.

The sequence 4, −2, 1, −1, ... , 41 is an arithmetic sequence, which means that the difference between each consecutive term is constant. To find the common difference,

we can subtract any two consecutive terms in the sequence. Let's use the first two terms as an example: −2 − 4 = −6. We can see that the common difference is −6.

Thus, the nth term of the sequence can be expressed as follows:an = a1 + (n - 1)dwhere an represents the nth term of the sequence, a1 represents the first term of the sequence, and d represents the common difference.

Using the values given in the problem, we can plug them into the formula and simplify:an = 4 + (n - 1)(-6)an = 4 - 6n + 6an = 10 - 6n

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Answer:

your answer should look like this.

Step-by-step explanation:

The horizontal line goes through y-intercept -1/2

Let the height of the rectangle = h

2b + 2h = 100

2(38) + 2h = 100

2h = 100 - 76

h = 12mm

area of rectangle = base x height

= 38 x 12

= 456mm²

Answer:

456mm²

Step-by-step explanation:

using formula;

b/2( P - 2b) = A

substitute values

a) To find out how much L is needed to produce 400 toys per hour when K is equal to 20, we can use the production function formula provided, which is Q = 4K + 5L.

To solve for L, we can rearrange the formula as follows: Q - 4K = 5L 400 - 4(20) = 5L 320 = 5L L = 64

Therefore, to produce 400 toys per hour with K = 20, the manufacturer would need 64 units of labor input per hour.

b) Similarly, to find out how much K is needed to produce 500 toys per hour when L is equal to 40, we can use the production function formula: Q = 4K + 5L

Substituting the given values, we get: 500 = 4K + 5(40) 500 = 4K + 200 4K = 300 K = 75

Therefore, to produce 500 toys per hour with L = 40, the manufacturer would need 75 units of capital input per hour.

In conclusion, the production function formula provides a useful tool for toy manufacturers to produce a desired level of output. By manipulating the formula, the manufacturer can also calculate the maximum output possible given a certain combination of inputs.

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Answer:

30 degrees

Step-by-step explanation:

The angles of each side of a hexagon is 120 degrees.

The sum of interior angles in a shape is (n-2) * 180.

So,

(6-2) * 180 = 4 * 180 = 720 degrees

This is the total degrees of the hexagon.

Dividing the total degrees by 6 angles gives us 120 degrees for each angle.

Angle AEF = angle FED - angle AED.

Angle FED = 120 degrees

Angle AED = 90 degrees

120 - 90 = 30 degrees

There are a total of 12 chocolate chip + 10 sugar + 18 peanut butter = 40 cookies in the sack. The probability of selecting a cookie that is not a peanut butter cookie is (12 chocolate chip + 10 sugar) / 40 = 22/40 or 0.55. So, there is a 55% chance that the selected cookie will not be a peanut butter cookie.

Answer:

my answer is A

Step-by-step explanation:

if you work out the equation where you know that at the x intercept y=0 you will find A to be true

If the probabilities of their outcomes are 20%, 60%, and 20% respectively, the expected value of these outcomes is $346.

To calculate the expected value of the outcomes, we multiply each outcome by its corresponding probability and then sum up the results.

In this case, the projected outcomes are $240, $310, and $560, with probabilities of 20%, 60%, and 20% respectively.

To calculate the expected value, we use the formula:

Expected value = (Outcome 1 * Probability 1) + (Outcome 2 * Probability 2) + (Outcome 3 * Probability 3) + ...

Expected value = ($240 * 0.20) + ($310 * 0.60) + ($560 * 0.20)

Expected value = $48 + $186 + $112

Expected value = $346

The expected value represents the average value or the long-term average outcome we can expect from the given probabilities and outcomes. It provides a summary measure that helps in understanding the central tendency of the distribution of outcomes.

In this case, the expected value indicates that, on average, we can expect the project's outcome to be around $346.

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Based on the information, it can be inferred that Mr. Incredible did more work than Dash moving the train car.

To calculate the work that Mr. Incredible and Dash did moving the train car, we must apply the following mathematical formula:

According to the above, we only have to replace the values according to each case.

According to the above, it can be inferred that Mr. Incredible made more effort than Dash because they did 500,000 J and 500 J of work respectively.

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Answer:

a

Step-by-step explanation:

Answer:

-----------------------

Let the current ages be x and y.

As per given information we can set up two equations:

Substitute 2y for x into second equation and solve for y:

Find the value of x:

According to the solving To evaluate the given integral, we have used the following two identities:

\(\[\int_{a}^{b} c dx = c(b-a)\]and, \[\int_{a}^{b} x^{n} dx = \left[\frac{x^{n+1}}{n+1}\right]_{a}^{b} = \frac{b^{n+1} - a^{n+1}}{n+1}\]\)

What do we mean by integral?

being, containing, or relating to one or more mathematical integers. (2) : relating to or concerned with mathematical integration or the results of mathematical integration. : formed as a unit with another part. a seat with integral headrest.

The content loaded can help Evaluate

\(\(\int_{-1}^{1} \int_{y^{2}}^{1} \int_{0}^{x+1} x dz dx dy\)\)

The given integral can be expressed as follows:

\(\[\int_{-1}^{1} \int_{y^{2}}^{1} \int_{0}^{x+1} x dz dx dy = \int_{-1}^{1} \int_{y^{2}}^{1} \left(x\int_{0}^{x+1} dz\right) dx dy\]\)

We will evaluate the integral \(\(\int_{0}^{x+1} dz\)\), with respect to \(z\), as given:

\($$\int_{0}^{x+1} dz = \left[z\right]_{0}^{x+1} = (x+1)$$\)

Substitute this into the integral:

\($$\int_{-1}^{1} \int_{y^{2}}^{1} \left(x\int_{0}^{x+1} dz\right) dx dy = \int_{-1}^{1} \int_{y^{2}}^{1} x(x+1) dx dy$$\)

Integrate w.r.t x:

\($$\int_{-1}^{1} \int_{y^{2}}^{1} x(x+1) dx dy = \int_{-1}^{1} \left[\frac{x^{3}}{3} + \frac{x^{2}}{2}\right]_{y^{2}}^{1} dy$$$$= \int_{-1}^{1} \left(\frac{1}{3} - \frac{1}{2} - \frac{y^{6}}{3} + \frac{y^{4}}{2}\right) dy$$$$= \left[\frac{y}{3} - \frac{y^{7}}{21} + \frac{y^{5}}{10}\right]_{-1}^{1} = \frac{16}{35}$$\)

Therefore, the given integral is equal to\(\(\frac{16}{35}\)\).

Note: To evaluate the given integral, we have used the following two identities:

\(\[\int_{a}^{b} c dx = c(b-a)\]and, \[\int_{a}^{b} x^{n} dx = \left[\frac{x^{n+1}}{n+1}\right]_{a}^{b} = \frac{b^{n+1} - a^{n+1}}{n+1}\]\)

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A balanced chemical equation calculator is an online tool that assists in the balancing of chemical equations by automatically computing the coefficients for each reactant and product to verify that the equation obeys the rule of mass conservation.

According to the law of conservation of mass, matter cannot be generated or destroyed in a chemical process, just rearranged.

A balanced chemical equation includes the chemical formulae for the reactants and products of a chemical reaction, as well as the factors that balance the amount of atoms of each element on both sides of the equation. Balancing a chemical equation is a necessary step in addressing many sorts of chemistry issues, such as forecasting the quantity of product generated or reactant required in a reaction.

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All of the claims about the multiple regression output are correct. The first independent variable (X1) was a continuous-scale quantitative variable, whereas the second variable (X2) was coded 0 if Yes and 1 if No.

Multiple regression is an effective statistical approach for analyzing the associations between multiple independent variables and a single dependent variable. Multiple regression has numerous uses in the social sciences, and recent research used it to analyze the connection between two independent factors and a single dependent variable.

Finally, the total model is statistically significant, the slope coefficient for variable X1 is considerably different from zero, and the model explains almost 63% of the variance in the dependent variable.

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The least preferable and reliable method of selecting people to participate in a research study is convenience sampling.

Convenience sampling is a type of sampling in which you include people who are easy to reach. Convenience sampling is included in non-probability sampling because it doesn't include a random selection of the participants. Convenience sampling can be used when you need to conduct a study quickly or when you are on a shoestring budget as it is inexpensive compared to other methods of sampling.

It is the least preferable method because of the inability to generalize the result of the survey to the population as a whole. In addition to this, there is a possibility of under or over-representation of the population as a whole. The biggest problem with convenience sampling is dependence as the sample items are connected to each another in some way. This dependency interferes with statistical analysis.

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The time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom cannot be determined without additional information.

To calculate the time taken, we need to know the flow rate or discharge rate of the water from the tank. This information is not provided in the question. The time taken to drain the tank depends on factors such as the diameter of the outlet pipe, the pressure difference, and any restrictions or obstructions in the flow path.

If we assume a known discharge rate, we can use the principles of fluid mechanics to calculate the time. The volume of water that needs to be drained is the difference in the volume of water between 3 meters and 0.5 meters above the bottom of the tank. The flow rate can be determined using the pipe diameter and other relevant factors. Dividing the volume by the flow rate will give us the time taken.

However, since the discharge rate is not given, we cannot perform the calculation and determine the time taken accurately.

Without knowing the discharge rate or additional information about the flow characteristics, it is not possible to calculate the time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom.

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The range of the function is

\(y \leqslant 1\)

Answer:

help on what like whats ur question

Step-by-step explanation:

Answer:

I hope this helps

Step-by-step explanation:

need more letters

Answer:

umm search on google,use caculater soup

Step-by-step explanation:

Answer:

8.10$?

Step-by-step explanation:

hm idk what to put here but i think thats it unless its not a answer

The surface area of the cylinder is approximately 2,260.8 square units.

To calculate the surface area of a cylinder, you can use the formula SA = 2πr(r + h), where r is the radius and h is the height of the cylinder. If the diameter of the cylinder is given, you can find the radius by dividing it by 2. In this case, the diameter is 24, so the radius is 24/2 = 12. Now we can substitute the values into the formula:

SA = 2π(12)(12 + 18)
SA = 2π(12)(30)
SA = 720π

Therefore, the surface area of the cylinder is 720π square units. To find an approximate decimal value, we can use the approximation π ≈ 3.14:

SA ≈ 720(3.14)
SA ≈ 2,260.8

So the surface area of the cylinder is approximately 2,260.8 square units.

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According to the given statement , the value of "b" in the equation cos(22.6°) = b/13 is approximately 12.

To solve for "b" in the equation cos(22.6°) = b/13, we can use trigonometric functions.

Step 1:

Rewrite the equation as cos(22.6°) = b/13.

Step 2:

Multiply both sides of the equation by 13 to isolate "b". This gives us:

b = 13 * cos(22.6°).

Step 3:

Use a calculator to find the cosine of 22.6°. The value of cos(22.6°) is approximately 0.9239.

Step 4:

Substitute this value back into the equation to find "b". b = 13 * 0.9239.

Step 5:

Calculate the value of "b" by multiplying 13 by 0.9239. The result is approximately 11.999.

Step 6:

Round the value of "b" to the nearest whole number. Since 11.999 is closer to 12, we round up to 12.

Therefore, the value of "b" in the equation cos(22.6°) = b/13 is approximately 12.

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