What is the surface area of the right trapezoidal prism? To receive credit, you must show the work used to arrive at a final answer.

Answer:

It's dependent variable

Step-by-step explanation:

The dependent variable is the item that responds to the change of the independent variable. The dependent variable depends/changes when the independent variable is changed.

I believe the answer is 5/7=15/DG.

Please, do correct me if the answer seems wrong, thank you.

The proportion which can be used to describe the value of DG is

15 x 7 = 5 x DG

What are similar triangles?

Two triangles are said to be similar if their sides are proportional and their angles are equal.

Given data ,

The two triangles are ΔABC and ΔDFG are similar

Length of AB = 5 inches

Length of BC = 6 inches

Length of AC = 7 inches

Length of DF = 15 inches

Length of FG = 18 inches

And , ∠B is congruent to ∠F

The two triangles are similar , so the ratio of

AB / DF = BC / FG = AC / DG

Therefore , 5 / 15 = 7 / DG

DG = 21 inches

Hence , the proportion used to find the value of DG is 15 x 7 = 5 x DG

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Answer:

Small: 7

Large:13

Step-by-step explanation:

I worked it out, hope this helps

Answer:

Answer:

Small: 7

Large:13

Step-by-step explanation:

I worked it out, hope this helps

Answer:

slope-intercept form is y=mx+b so

y=0x+5

or

y=5

Answer:

81 men and 108 women

Step-by-step explanation:

3 men +4 women=7

189÷7=27.

for every 3 men,27×3=81

for every 4 women,27×4=108

Answer: (a, d) = ( -1/10 - e/20 , 7/10 -23e/20)

Answer:

10*10*10

This is answer

Answer:

10^3=10*10*10

Step-by-step explanation:

Exponents is just saying how many there are basicly. so if it is 10 to the 3. It is just 10 *10*10

Answer:

the answer should be c.

Step-by-step explanation:

here's why....A uses 4 more which is adding. B uses 4 fewer which is subtracting and D does not complete so it should be C.

Answer:

I can't see the picture

Step-by-step explanation:

Answer:

1708708012

Hope I helped

Answer: 1/4 or 0.25.

Step-by-step explanation: 2/4 x 4/8 = 8/32 = 1/4 = 0.25.

Answer:

1/4 or 0.25

Step-by-step explanation:

2/4 * 4/8 =

2*4=8 and 4*8=32

so 2/4 * 4/8 = 8/32

8/32 = 1/4 = 0.25

So the answer is:

1/4 or 0.25

Answer:300

Step-by-step explanation:x=5

Answer:

it is X>0

Step-by-step explanation:

because it has to be less then the X

Answer:

Step-by-step explanation:

3y > 2x + 12

[tex]y>\frac{2}{3}x+4[/tex]

This inequality will be represented by the a dotted line and solution area for the inequality will be shaded area (In red) above the dotted line.

2x + y ≤ -5

y ≤ -2x - 5

This inequality will be represented by a solid line and solution area will be the shaded area (in blue) below the solid line.

Therefore, common area of both will be the solution area for the system of inequalities.

Plotting the inequalities using geogebra online graphing calculator. The graph is attached

Inequalities is an expression used to show the non equal comparison of numbers and variables.

Given the system of inequalities:

3y > 2x + 12

3y - 2x > 12   (1)

2x + y < -5    (2)

Plotting the inequalities using geogebra online graphing calculator. The graph is attached

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Answer: 0 and 4

Step-by-step explanation:

First blank zero, second blank 4

Answer:

in 20 miles she would have taken her 100 minutes (or 1 hour and 40 mins)

Step-by-step explanation:

Divide 10 by 2 to see how many mins its takes to travel 1 mile which is 5 mins, then multiply 20 by 5 to get 100 minutes

2:10

1:5

2.5/1

your welcome

Answer:

Hope this helps

Step-by-step explanation: we know that

To get the 10% discount, a shopper must spend at least $200

so

Let

d ------> represent the spending (in dollars) of a shopper who gets the discount

therefore

The value of d must be greater than or equal to $200

i would say that d is greater

Answer:

120y

or $120y

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Well round 902 down to 900, then round down 31 to 30.

Therefore 900 divided by 30 is 30.

So an estrimate answer to 902 divided by 31 is 30.

Answer:

The fewest amount of boxes would be 10

Step-by-step explanation:

I added the 25 red flowers to the 13 flowers and got 38. I then divided 38 by 4 getting 9.5. 9.5 isn't a full box so I rounded to the decimal and got 10.

I hope this what you were looking for.

Using a arithmetic operations , the fewest number of boxes Ethan will need to plant all the flowers ls 10

Creating a

Total number of flowers to be planted :

Total number of flowers = 25 + 13 = 38 flowers

Number of flower boxes = (total number of Flowers ÷ number of flowers per box)

Number of flower boxes = (38 ÷ 4) = 9.5 flower boxes

Therefore, the fewest number of boxes that will be needed is 10.

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Answer:

You have 3 eggs.

Step-by-step explanation:

You "had" 4 eggs, those  do not count.  A thief then gave you 3 eggs. And lastly, a rooster does not lay eggs. In conclusion, you have 3 eggs.

The total number of eggs he finally has as inferred from the riddle is 3 eggs.

Evaluating each sentence :

If I had 4 eggs ; This is an imagination, hence, the speaker was only imagining if he had. Hence, total here is 0

A thief gave out 3 eggs ; Hence, the total number of eggs = (0 + 3) = 3 eggs

Farm Rooster laying 5 eggs is impossible S Farm roosters do not lay eggs. Number of eggs here is 0.

Hence, the total number of eggs = (0 + 3 + 0) = 3 eggs.

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Answer:

negative multiplied by a negative is a positive.

a positive multiplied by a positive is a negative

a positive multiplied by a positive is a positive.

Step-by-step explanation:

Answer:

on edge 2022 its A positive

Step-by-step explanation:

i took the test

Answer:

The option that are correct is  option a and  option c

Step-by-step explanation:

From the question we are told that

   The sample space is  n =  6 (i.e six sides)  

     The number of even numbers in the sample space is  k  = 3 (i.e  2,4, 6)

Generally the probability of rolling an even number with a six-sided, equally weighted die is mathematically represented as

       [tex]P(E) = \frac{3}{6}[/tex]

=>     [tex]P(E) = \frac{1}{2}[/tex]

Answer:x=13

Step-by-step explanation:

Since they are both corresponding angles you can create the equation

5x+21=86

Subtract 21 from each side

5x=65

Divide each side by 5

X=13

Answer:

We have the function:

f(x) = 3*x^5 - 4*x^3 - 3*x

To find the maximum/minimums, we first need to look at the roots of the first derivative of f(x), this is:

f´(x) = 5*3*x^4 - 3*4*x^2 - 3

f´(x) = 15*x^4 - 12*x^2 - 3

We can do the change of variable:

u = x^2

Then we can rewrite:

f'(u) = 15*u^2 - 12*u - 3

This is a quadratic equation, the solutions will be obtained by the Bhaskara´s equation:

So the solutions are:

[tex]u = \frac{+12 +- \sqrt{(-12)^2 - 4*(-3)*15} }{2*15} = \frac{12 +- 18}{30}[/tex]

Then the two solutions are:

u = (12 + 18)/30 = 1

this leads to:

x^2 = 1, then we can have x = ± 1

the other solution is:

u = (12 - 18)/30 = -6/30 = -(1/5)

and x^2 = -(1/5), then:

x = ±√(1/5)*i

So those are the possible values for the minimum/maximums.

Now to see it, we need to look at the second derivative ad see iff:

f´´(x) > 0 then x is a minimum

f''(x) < 0, then x is a maximum.

We have that:

f´´(x) = 4*15*x^3 - 2*12*x

f´´(x) = 60*x^3 - 24*x

Notice that the two complex roots will lead to complex values of f(x), so these can be ignored here, then we have to try only with x = ± 1.

f´´(1) = 60*1^3 - 24*1 = 36

then x = 1 is a minimum.

f´´(-1) = 60*(-1)^3 -24*-1 = -36

then x = -1 is a maximum.

Then we can conclude that the relative maximum is at x = -1

The function f given by [tex]f(x) = 3x^5-4x^3-3x[/tex] has a relative maximum at

x = -1

The given function is:

[tex]f(x) = 3x^5-4x^3-3x[/tex]

Find the derivative of the function:

[tex]f'(x)=15x^4-12x^2-3[/tex]

Find the critical points by equation f'(x) to zero

[tex]15x^4-12x^2-3=0\\\\5x^4-4x^2-1=0[/tex]

By solving the equation above, the critical points are:

x = -1,  x =  1

Find the second derivative of f(x)

[tex]f''(x)=60x^3-24x[/tex]

[tex]f''(-1)=60(-1)^3-24(-1)\\\\f''(-1)=-36[/tex]

Since f''(-1) < 0, x = -1 is a maximum point

[tex]f''(1)=60(1)^3-24(1)\\\\f''(1)=36[/tex]

Since f''(1) > 0, x = 1 is a minimum point

Therefore, the function [tex]f(x) = 3x^5-4x^3-3x[/tex] has a relative maximum at x = -1

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