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enot [183]
2 years ago
13

34. Find the surface area for the following rectangular prism ​

Mathematics
1 answer:
Taya2010 [7]2 years ago
4 0

\huge\fbox\green{ANSWER}

Surface Area = 2×(8.25×1.5 + 8.25×3 + 1.5×3) = 83.25 centimeters^2

\mathsf \blue{83.25 {cm}^{2} }

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The function​ s(t) represents the position of an object at time t moving along a line. Suppose s(2)=150 and s(5)=237. Find the a
trapecia [35]

Answer:

29 is answer.

Step-by-step explanation:

Given that the function​ s(t) represents the position of an object at time t moving along a line. Suppose s(2)=150 and s(5)=237.

To find average velocity of the object over the interval of time [1,3]

We know that derivative of s is velocity and antiderivative of velocity is position vector .

Since moving along a line equation of s is

use two point formula

\frac{s-150}{237-150} =\frac{t-2}{5-2} \\s=29t-58+150\\s=29t+92 gives the position at time t.

Average velocity in interval (1,3)

=\frac{1}{3-1} (s(3)-s(1))\\=\frac{1}{2} [87+58-29-58]\\=29

5 0
3 years ago
If Gabe's Soccer Ball Company is able, due to competitive pressure, to charge $60 for a new soccer ball, while one soccer ball c
Brums [2.3K]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Selling price= $60

Unitary variable cost= $28

Fixed costs= $15,000

<u>First, we need to calculate the average total cost:</u>

Average cost= total cost / number of units

For example, for 1 unit and 10,000 units:

1 unit:

Average cost= 15,028/1 = 15,028

10,000 units:

Average cost= (15,000 + 28*10,000) / 10,000

Average cost= $29.5

<u>Now, we can calculate the break-even point in units:</u>

<u></u>

0= (60*x) - (28*x) - 15,000

x= number of units to break-even

0= 32x - 15,000

15,000/32= x

468.75=x

break-even point in units= 469

<u>For the desired profit of $10,000:</u>

10,000 = (60*x) - (28*x) - 15,000

25,000= 32x

781.25= x

Break-even point= 782 units

<u>Finally, fixed costs dropped by $8,000:</u>

0= 32x - 7,000

x= 7,000/32

x= 218.75

Break-even point= 219

Difference= 250 units

5 0
3 years ago
Step by step what is 3 (x+2)+5x
lesya692 [45]

Answer:

8x+6

Step-by-step explanation:

To simplify it, the first thing you want to do is distribute the three.


So

3(x+2) = 3x+6,

So we can then add the 5x to it.

3x+6+5x

Then, Combine Like Terms

8x+6

6 0
3 years ago
A six-pack of soda is on sale for $2.46. Find the cost of one can of soda.
MatroZZZ [7]

Answer: A

Step-by-step explanation:

2.46/6 = .41

5 0
3 years ago
Lie is solving the quadratic equation by completing the square.
wel

we have

3x^{2} + 18x - 8 = 0

Step 1

Move the constants to the right side

3x^{2} + 18x = 8

Step 2

Factor 3 out of the variable terms

3(x^{2} + 6x) = 8

Step 3

Add 27 to both sides of the equation

3(x^{2} + 6x+9) = 8+27

3(x^{2} + 6x+9) = 35

Step 4

Write the polynomial as a binomial squared

3(x+3)^{2} = 35

therefore

the answer is

Factor 3 out of the variable terms.

8 0
3 years ago
Read 2 more answers
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