100 points
Find the surface area of the rectangular prism.

Answer:

y= -1/4x+ 3.75

Step-by-step explanation:

Answer:

Înălțimea bazinului este de 20 m

Step-by-step explanation:

Raza de bază a bazinului cilindric = lățimea peretelui dreptunghiular = 15 m

Suprafața peretelui dreptunghiular = lungime × lățime = 300 m²

300 m² = lungime × 15 m

lungime = 300 m² / 15m

lungime = 20 m

Lungimea peretelui dreptunghiular = înălțimea bazinului cilindric = 20 m

Prin urmare, înălțimea bazinului = 20 m.

Answer:15

Step-by-step explanation: base * height= area/15

Answer:

a= 15

Step-by-step explanation:

A=wl=3·5=15

hope this helps

Answer:

Option B: 15 inches

Step-by-step explanation:

p=2w+2l so 12 (2*6) +2x= 42

42-12=30

30/2=15

The expression for  d=rt in terms of the time is t = d/r; t = 5.

Therefore,

In the equation d=rt

                          t = d/r

when distance is 40 and the rate is 8

                          t = d/r

Replace d with 40 and rate with 8

                          t = 40/8

                          t = 5

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A relative frequency table is a graph that depicts the popularity or pattern of a certain piece of data based on the population sampled. The value of x will be 85.

A relative frequency table is a graph that depicts the popularity or pattern of a certain piece of data based on the population sampled.

When we examine the relative frequency, we examine the number of times a certain event happens in comparison to the overall number of events.

We have the following equation for the adult column;

\(\rm x + 0.15 = 1\)

\(\rm x = 1-0.15\\\\\rm x = 0.85\)

Hence the value of x will be 85.

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19/49 = 0.388

Probability at least two were born on the same day of the week = 1 - probability of all three people were born on different days of the week

Probability of three random people born on different days of the week = 7/7 x 6/7 x 5/7 = 30/49

Probability that at least two were born on the same day of the week = 1 - 30/49 = 19/49 = 0.388

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Answer: The answer is 4×18= 72

Step-by-step explanation: Since he ate an eighteenth of his biscuits, which in the question is said to be 4 biscuits, an eighteenth of the biscuits he has is 4. There are 18 eighteenths in 1 whole so we multiply 4 by 18 in order to find the answer which is 72

Answer:

4 x 10^7

Step-by-step explanation:

equals 40,000,000

In 1.5 hours, she got 43 cups of water (assuming they're all full)

So, in an hour, she got 43 : 1.5 = 86/3 cups

From 4 in the afternoon to 3:30pm next day, that is 23 hours 30 minutes. (full day - 30 min)

Convert 23 hours 30 minutes to 23.5 hours


So, she will tell you that 86/3 x 23.5 = 2021/3 cups of water is gonna be wasted. (if you need to round it's 674 cups.)

The length of CE is 7cm

To determine the length, we need to consider the properties of a rectangle, we have;

From the information given, we have that;

AB = 7cm

AD = 17cm

Then, line CE = line AB

But line AB = 7cm

CE = 7cm

Hence, the length is 7cm

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Answer:

B is correct I hope this helps.

Answer:

I graphed the equations on the graph below.

Step-by-step explanation:

The intersection point or the solution of the system of equations is at (2,6).

Answer:\(\color{yellow}{}\) The intersection point or the solution of the system of equations is at (2,6).

Answer:

it`s 1

Step-by-step explanation:

xdn`t i`m too lazy to put the full explanation i will put an ad

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Kratos cicle, Rides like a GOD

For the imaginary roots, the value of c must be greater than the value of d that is c > d. Then the correct option is A.

The discriminant of a quadratic is a number that depends on the components and allows some characteristics of the roots to be deduced without calculating them.

The quadratic equation is ax² + bx + c = 0. Then the discriminant is given as,

D = b² - 4ac

The equation is given as,

2(c² + d²)x² + (c - d)x + 9 = 0

Then the discriminant is given as,

D < 0

(c - d)² - 4 × 2(c² + d²) × 9 < 0

(c - d)² > 72 (c² + d²)

The expresssion (c - d)² must be positive. Then we have

(c - d)² > 0

c - d > 0

c > d

For the imaginary roots, the value of c must be greater than the value of d that is c > d. Then the correct option is A.

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Answer:

\(31 + 2 - 8(3) \\ \\ = 31 + 2 - 24 \\ \\ 33 - 24 \\ \\ = 9\)

# be careful#

Answer:

Multiply 8x3

Step-by-step explanation:

Orders of operations state that parenthesis should be the first step in solving an equation

P-parenthesis

E-exponents

M- multiplication

D-division

A- addition

S- subtraction

The statement "If |x| = 6, then x can only be equal to 6" is false.

The absolute value of a number represents its distance from zero on the number line.

The expression |x| = 6 means that the distance of x from zero is 6. Therefore, x can be either positive or negative 6.

In this case, x can be either 6 or -6 because both numbers have an absolute value of 6.

Hence, x is not limited to being equal to only 6.

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Answer:

2/3 is the answer

hope it's right :P

Explanation

To graph, or plot, points we use two perpendicular lines called the x-axis and the y-axes. The horizontal number line is the x-axis and the vertical line is the y- axis

so, a coordinate has this form

where x indicantes the position ( horizonta) and y the vertical position, so

the point (x,y)

hence

Step 1

the, plot the points

Step 2

B)(2, -1.5)

I hope this helps you

Answer:

mean=85

median=84

mode=80

range=17

Step-by-step explanation:

How to Find the Mean

How to Find the Median

How to Find the Mode

How to Find the Range

Answer:

Hope this helps :)

Step-by-step explanation:

Because x is an absolute value, the value of y is always greater than or equal to zero. I attached the graph below. As you'll see, when x is a negative number, it was the same value as the positive of that value. When x = 1 or x = -1, y = 5.

A minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.

Therefore, a minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.

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Answer:

ojsjsnajnbaknrkmlamsl

The dimensions of the box that minimize the cost are: Length = Width = 2^(1/3) ft and Height = 1/(2^(2/3)) ft, We can also compute the minimum cost as: Cost = 4 × 2^(2/3) + 8 × 2^(1/3) ≈ $10.42

To find the dimensions of the box that will minimize the cost, we need to use optimization techniques. Let's start by defining the variables:

Let L be the length of the base of the box.
Let W be the width of the base of the box.
Let H be the height of the box.

The volume of the box is given as 4 ft3, so we have:

L × W × H = 4

We want to minimize the cost of the box, which is given by:

Cost = (2LH + 2WH) × 2 + LW × 4

where the first term represents the cost of the sides (which have a height of H and a length of L or W) and the second term represents the cost of the bottom (which has an area of LW).

Now, we can use the volume equation to solve for one of the variables in terms of the other two. For example, we can solve for H:

H = 4/(LW)

Substituting this into the cost equation, we get:

Cost = 4L + 4W + 16/(LW)

To find the dimensions that minimize the cost, we need to find the critical points of this function. Taking the partial derivatives with respect to L and W, we get:

dCost/dL = 4 - 16/(L^2W)
dCost/dW = 4 - 16/(LW^2)

Setting these equal to zero and solving for L and W, we get:

L = W = 2^(1/3)

(Note that we need to check that this is a minimum by verifying that the second partial derivatives are positive.)

Substituting these values into the volume equation, we get:

H = 1/(2^(2/3))

Therefore, the dimensions of the box that minimize the cost are:

Length = Width = 2^(1/3) ft
Height = 1/(2^(2/3)) ft

We can also compute the minimum cost as:
Cost = 4 × 2^(2/3) + 8 × 2^(1/3) ≈ $10.42

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The departmental store is ordering the fall line of shoes.

In order to determine what size they should order for the most, they will need to know what size the customers buy the most.

This value is called the mode

It is a statistical data that depicts the number of a data set that appears the most.

The store will need to buy the size that the customers buy the most, that is the mode.

Option A

Hey again!

The answer to your question is 98 feet squared

First, we find the new dimensions:

7 x 2 = 14

3.5 x 2 = 7

Area = length x width, so 14 x 7 = 98

Hope it helps!

The absolute maximum value is 412 and the absolute minimum value is -617.

A function's absolute maximum point is the location at which it can reach its highest value. A similar absolute lowest point is where the function's maximum value is obtained.

The absolute maximum and minimum values of f(x) = 6x^3 − 9x^2 − 216x + 9 on the interval [-4, 5] can be found using the First and Second Derivative Tests.

First, find the critical points of f(x) by setting its first derivative equal to zero and solving for x:

f'(x) = 18x^2 - 18x - 216 = 0

Using the quadratic formula, we get x = 4,-3.

Next, use the second derivative test to determine if the critical points are maxima or minima:

f''(x) = 36x - 18

At x = 4, f''(x) > 0, so x = 6 is a local minimum.

At x = -3, f''(x) < 0, so x = -9 is a local maximum.

Finally, check the endpoints of the interval to see if they contain the absolute maximum or minimum:

At x = -4, f(-4) = 6(-4)^3 - 9(-4)^2 - 216(-4) + 9 = 345

At x = 5, f(5) = 6(5)^3 - 9(5)^2 - 216(5) + 9 = -546

At x= 4, f(4) = -617

At x= -3, f(-3) = 412

Therefore, the absolute maximum value is 412 and the absolute minimum value is -617.

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For x = 4, the residual value is -7.586. Therefore, the correct option is b.

We are required to find the residual value for x = 4 using the given data and the LSRL ý = 20.47 + 3.486x.

To find the residual value, follow these steps:

1. Find the predicted value for x = 4 using the LSRL equation.

  ý = 20.47 + 3.486(4) = 20.47 + 13.944 = 34.414

2. Locate the actual value of y when x = 4 in the data.

  x: 1  2  3  4  5  6

  y: 43 37 29 22 22 11

  For x = 4, the actual y value is 22.

3. Calculate the residual value using the formula:

  Residual = Actual value - Predicted value

  Residual = 22 - 34.414 = -7.586

Hence, the residual value for x = 4 is -7.586, which corresponds to option b: -7.586.

Note: The question is incomplete. The complete question probably is: Suppose you have the following data: x 1 2 3 4 5 6 y 43 37 29 22 22 11 and the lsrl is ý = 20.47 + 3.486. Find the residual value for x = 4. a) 34.414 b) -7.586 c) 42 d) 7.586 e) None of the above.

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