here is the base of a prism if the height of the prism is 5cm what is it’s surface area? what is it’s volume

Answer: D. -1.58

Explanation: The Z-score is calculated by taking the raw score, subtracting the mean, and then dividing by the standard deviation. This gives us (-85.2-89)/2.4 = -1.58

Answer: 14

Step-by-step explanation:

1 4/1 is 4 because 1 times 4/1 is 4

1 and 5/2 is basically 3.5 and

4 times 3.5 is 14

Answer:14

Step-by-step explanation:

1 4/1 is 4 because 1 times 4/1 is 4

1 and 5/2 is basically 3.5 and

4 times 3.5 is 14

Answer:

Akash walked \(1\frac{4}{15}\) kilometers in all.

Step-by-step explanation:

Given that:

Distance covered while walking to school = 2/3 km

Distance covered while walking back = 3/5 km

We will add the distance.

Total distance walked = \(\frac{2}{3}+\frac{3}{5}\)

Total distance walked = \(\frac{10+9}{15}\)

Total distance walked = \(\frac{19}{15}=1\frac{4}{15}\ km\)

Hence,

Akash walked \(1\frac{4}{15}\) kilometers in all.

The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.

To determine the critical path of the project, we need to find the longest path of activities that must be completed in order to finish the project on time. This is done by calculating the earliest start time (ES) and earliest finish time (EF) for each activity.

Starting with activity A, ES = 0 and EF = 4. Activity B can start immediately after A is complete, so ES = 4 and EF = 7. Activity C can start after A is complete, so ES = 4 and EF = 6. Activity D can start after B is complete, so ES = 7 and EF = 9. Finally, activity E can start after C and D are complete, so ES = 9 and EF = 11.

The variance for each activity is also given, which allows us to calculate the standard deviation and determine the probability of completing the project on time. The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.

Using the expected durations and variances, we can calculate the standard deviation of the critical path. This information can be used to determine the probability of completing the project on time.

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The gas used and miles are proportional for each scooter.

Proportional relationships are relationships between two variables where their ratios are equivalent.

A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if:  

y = k x

for some constant k , called the constant of proportionality .

Therefore, let's check whether the scooter A and scooter B shows proportional relationships.

Hence,

For scooter A:

y = kx

where

Therefore,

2 = 150 k

k = 2  /150

k = 1 / 75

Hence,

y = 1 / 75 x

From the table of scooter A, the ratio is constant, therefore, the relationships of gas used and distance covered is proportional for scooter A.

For the Scooter B the graph is also proportional because the ratios of the variables are constant.

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Answer:

289=289

Step-by-step explanation:

\(8^{2}\)+\(15^{2}\)=\(17^{2}\)

64+\(15^{2}\)=\(17^{2}\)

64+225=\(17^{2}\)

289=\(17^{2}\)

289=289

A) the three inequalities that must be satisfied are:

B) Graph shaded and satisfying all conditions is attached.

An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions.

It is most commonly used to compare the sizes of two numbers on a number line.

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Answer:

4

Step-by-step explanation:

LJK is a special right triangle with angle measures of 90° 60° 30°

If the side length of hypotenuse is 8√2 the side length that sees 30° would be half of it so it's 4√2

LMJ is a special right triangle with angles 90° 45° 45° and if the side length of hypotenuse is 4√2 the the value of equal sides would be 4

Answer:

12√2

7√3

Step-by-step explanation:

The length of the hypotenuse of a 45°-45°-90° triangle with a leg of 12 is 12√2 and the length of longer leg is 7√3 for 30°-60°-90° triangle.

Right angled triangle are those triangle for which one of the angle is 90 degrees.

Ratio of the sides of a 45°-45°-90° triangle is 1 : 1 : √2.

That is,

If sides opposite to 45° = x, then the side opposite to 90° = √2 x

That is, length of the hypotenuse = √2 x

Given length of a leg = 12

Length of the hypotenuse = √2 × 12 = 12√2.

Ratio of the length of sides of 30°-60°-90° triangle is 1 : √3 : 2.

That is,

Length of side opposite to 30° = x

Length of side opposite to 60° = √3 x

Length of side opposite to 90° = 2x  (Hypotenuse)

We have to find the longer leg, that is √3 x.

Length of hypotenuse = 14

2x = 14 ⇒ x = 7

Length of longer leg = 7√3

Hence the lengths are 12√2 and 7√3.

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The correct option is A. The volume is 6.77 cubic units

The function and interval given are f(x) = (x - 1)^-1/4 and the x-axis on the interval (1, 6].

We want to find the volume of the solid of revolution when the region is rotated about the x-axis.

Let's consider the graph of the function: graph{(x-1)^(-1/4) [-10, 10, -5, 5]}

To set up the integral to find the volume of the solid of revolution, we can use the disk method.

We need to integrate the area of each disk perpendicular to the x-axis from x = 1 to x = 6.

The area of a disk is given by the formula: A = πr²

where r is the radius of the disk and is equal to f(x) in this case.

Therefore, the area of a disk is: A = πf(x)²

Let's substitute f(x) into this formula and integrate from x = 1 to x = 6 to get the volume of the solid.

We have The integral that should be used to find the volume of the solid is given as:

V = ∫₁⁶ πf(x)² dx

We substitute f(x) = (x - 1)^(-1/4) into this expression and integrate to get the volume.

We have: V = ∫₁⁶ π(x - 1)^(-1/2) dx

Let u = x - 1, so that du/dx = 1 and dx = du.

When x = 1, u = 0, and when x = 6, u = 5.

Therefore, we have: V = ∫₀⁵ πu^(-1/2) du= 2π[u^(1/2)]₀⁵= 2π(√5 - 1) ≈ 6.77 cubic units.

The volume of the solid of revolution when the region is rotated about the x-axis is approximately 6.77 cubic units.

Thus, the correct option is A. The volume is 6.77 cubic units.

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Answer:

E

Step-by-step explanation:

By definition,

Linear or first degree equations are of the type ax + b = y, with a≠0, or any other equation in which when operating, transposing terms and simplifying they adopt that expression.

A solution to an equation is a number that can be entered into the variable to make a true number statement.

In this case, you know that the solution to a system of equations is (5,-19). This is, x=5 and y=-19.

Replacing the value of x in linear expressions, I can calculate the value of y and I must get that y=-19.

A. y=-3×5 -6 → y= -15 -6 → y= -21

B. y=2×5 -23 → y= 10-23 → y= -13

C. y=-7×5+16 → y= -35 +16 → y= -19

D. y=5-17 → y= -12

E. y=-2×5-9 → y= -10 -9 → y= -19

Observing the solutions obtained, the equations that satisfy the solution and make uo the system are option C. and E.

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Answer: 1962.5

Step-by-step explanation:  Just did this question it's right hope this helps

Step-by-step explanation:

Yes. The cube root of a negative number will be negative.

For example, (-2)^3 = -8. The cube root of -8 is -2.

Answer:

Yes, it would be negative

Step-by-step explanation:

Yes, the cube root of a negative number can be found without using imaginary numbers to represent it.

The cube of a number is that number multiplied by itself 3 times so:

a^3 = a*a*a

if "a" is negative then the cube of "a" will be negative. Hence the cube root of a negative number will be negative.

Work Shown:

x = number of minutes she ran yesterday

x-9 = number of minutes she ran today

x-9 < 28 since she ran less than 28 minutes today

Answer:

NPV, IRR, payback.

Step-by-step explanation:

The best worst decision technique involves the choice modelling. In terms of the overall usefulness in the capital budgeting decisions,

-- the decision rule that is best is the NPV

-- the decision rule that is worst is payback period

The NPV capital budgeting tool provides accurate results and it also assumes cash flow can be reinvested at a discount rate.

The IRR is the second best budgeting tool where it assumes that the cash flows can be reinvested at IRR.

And the worst is the payback where it does not take into account its time value of the money and so it does not yield the correct as well as accurate results.

Therefore, ranking the rules from best to worst is : NPV, IRR, payback.

The formula for the probability of the union of two events A and B is P(A U B) = P(A) + P(B) - P(A ∩ B). Using this formula, we can rearrange the terms to get P(A U B) - P(A ∩ B) = P(A) + P(B) - 2P(A ∩ B).

Substituting the given probabilities, we get:

P(A U B) - P(A ∩ B) = 0.7 + 0.9 - 2P(A ∩ B)
P(A U B) - P(A ∩ B) = 1.6 - 2P(A ∩ B)

To maximize the value of P(A U B) - P(A ∩ B), we need to minimize the value of P(A ∩ B). The largest possible value of P(A ∩ B) is the minimum possible overlap between A and B. In other words, if A and B are completely independent, then P(A ∩ B) = P(A) x P(B) = 0.7 x 0.9 = 0.63.

Substituting this value, we get:

P(A U B) - P(A ∩ B) = 1.6 - 2(0.63)
P(A U B) - P(A ∩ B) = 0.34

Therefore, the largest possible value of P(A U B) - P(A ∩ B) is 0.34. The answer is (b) 0.34.

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Answer:

On the left side,  she used commutative property

On the right side, she used distributive property

Step-by-step explanation:

Answer:

x = 4√5

General Formulas and Concepts:

Pre-Algebra

Trigonometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use Pythagorean Theorem.

a = 19

b = x

c = 21

Step 2: Find x

And we have our final answer!

The maximum of the function f(x, y) = x + y, subject to the constraint x^2 + y = 1, occurs at the point (x, y) = (1, 0) and (-1, 0).

To find the maximum of f(x, y) while satisfying the constraint x^2 + y = 1, we can use the method of Lagrange multipliers. We set up the Lagrangian function L(x, y, λ) = f(x, y) - λ(g(x, y)), where g(x, y) represents the constraint equation. In this case, the Lagrangian function becomes L(x, y, λ) = x + y - λ(x^2 + y - 1).

To find the critical points, we take the partial derivatives of L with respect to x, y, and λ, and set them equal to zero:

∂L/∂x = 1 - 2λx = 0

∂L/∂y = 1 - λ = 0

∂L/∂λ = x^2 + y - 1 = 0

From the second equation, we find λ = 1. Substituting this value into the first equation gives 1 - 2x = 0, which yields x = 1/2. Substituting x = 1/2 into the third equation, we find y = 0.

Thus, we have the critical point (1/2, 0). However, since the constraint equation x^2 + y = 1 is symmetrical about the y-axis, the maximum value of f(x, y) also occurs at the point (-1/2, 0). Therefore, the maximum of f(x, y) occurs at (x, y) = (1, 0) and (-1, 0).

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Answer:

(f/g)(5) = 22

Step-by-step explanation:

All we need to do is plug in 5 for x in both f(x) and g(x) then divide the result of f(x) and g(x) to find our final answer.

Step 1: Plug in 5 for x

f(x) = 7(5) + 4(5) = 55

g(x) = 1/2(5) = 2.5

Step 2: Divide f(x) by g(x)

f(5)/g(5) = 55/2.5 = 22

And we have our final answer!

Dixon is 6 feet tall. Dixon's height can be determined using the concept of similar triangles.

To find Dixon's height, we can use the concept of similar triangles. Since Dixon's shadow is 9 feet long and Ariadne's shadow is 7.5 feet long, we can set up a proportion:

Dixon's height / Dixon's shadow = Ariadne's height / Ariadne's shadow

Let's denote Dixon's height as x. We have:

x / 9 = 5 / 7.5

Cross-multiplying, we get:

7.5x = 9 * 5

7.5x = 45

Dividing both sides by 7.5:

x = 45 / 7.5

x = 6

Therefore, Dixon is 6 feet tall.

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The complete question is:

Dixon and his little sister Ariadne stand next to each other on the playground on a sunny afternoon. Their mother measures their shadows.  Dixon's shadow is 9 feet long and  Ariadne's shadow is 7.5 feet long . If Ariadne is 5 feet tall, how tall is Dixon?

Answer:

Finding the dilation's center point is the first step in determining the scale factor. Next, we measure the distances between the center point and various points on the preimage and the image. We may determine the scale factor by dividing these distances by 2.

Step-by-step explanation:

Answer:

x/34

Step-by-step explanation:

Yes, there are experts here in data forecasting methods who can help you with the topics you've mentioned including time series (holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series.

Below are brief explanations of each of these terms:

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Answer:

I would think that it would be 8

Step-by-step explanation:

1-2= (-1)= -1+2=1

I think it's 8. 8 times the number of 1 is well...8.

Step-by-step explanation:

x = the number

x * 2 = 1  

soooo   x = 1/2

then   8 * 1/2  = 4

The total number of groups in the study of one way ANOVA with the given condition of variable and levels is four different groups and number of different factors in one-way ANOVA is equal to one.

In a one-way ANOVA with one independent variable with four levels, there are four different groups in the study.

Each group represents a level of the independent variable.

There is only one factor in a one-way ANOVA.

The factor is the independent variable with the four levels, which is used to classify the groups in the study.

The factor is what the researcher is interested in studying.

And the ANOVA is used to determine if there are any statistically significant differences in the mean scores between the groups.

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Answer:

Step-by-step explanation:

pattern by pattern

Answer:

3 pairs

Step-by-step explanation:

10% of 7.50 is 0.75. So one pair will cost $8.25. Now, 25.86/8.25 and you get 3 pairs

Answer:

\(\fbox {3 pairs}\)

Step-by-step explanation:

Cost of 3 pairs with tax :

⇒ 7.50 × 3

⇒ 22.50

* Adding tax *

⇒ 22.50 + 22.5 (0.1)

⇒ 22.50 + 2.25

⇒ 24.75

∴ Since 24.75 is less than 25.86, Jean can buy 3 pairs of shoes.