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Inessa [10]
3 years ago
13

The function f(x) = x5 + (x + 3)2 is used to create this table. A 2-column table with 4 rows. The first column is labeled x with

entries negative 2, negative 1, 0, 1. The second column is labeled f of x with entries negative 31, question mark, 9, 17. Which value completes the table? –17 –3 1 3
Mathematics
2 answers:
Ivan3 years ago
4 0

Answer:

3

Step-by-step explanation:

on edge

wlad13 [49]3 years ago
3 0

Answer:

D

Step-by-step explanation:

It is 3

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Determine the surface area of each triangular prism. Round to the nearest tenth if necessary.
slamgirl [31]

Answer:

  1. 108 cm^2
  2. 211.2 cm^2
  3. 308.8 mm^2
  4. 560 yd^2

Step-by-step explanation:

In each case, you can use the given formula to find the surface area. The area of the triangular base (B) is ...

  A = 1/2bh

where b is the base of the triangle, and h is the height of the triangle perpendicular to that base.

You will notice that B is multiplied by 2 in the area formula, because there is a triangular base at either end of the prism. That means we can save some work by not multiplying by 1/2, and then by 2.

__

For figures 1, 3, 4, the triangle is a right triangle, so the base and height make up two of the three sides of it. The perimeter is finished by adding the length of the hypotenuse. That sum is then multiplied by the "height" of the prism (distance between bases) to find the lateral area as part of the area formula (Ph).

In figure 3, the triangle is equilateral, so the perimeter is not the sum of the base and height and a third side. In the attached spreadsheet, we have used a value "rest of perimeter" to make the sum be the right value for use in computing the value of Ph. For figure 3, that is 6+6-5.2=6.8. Then the sum 6 +5.2 +6.8 is 18, the proper perimeter for that figure.

__

The idea here is to let a spreadsheet do the tedious work of applying the same formula to different sets of numbers. The areas are ...

  1. 108 cm^2
  2. 211.2 cm^2
  3. 308.8 mm^2
  4. 560 yd^2

__

By way of example, we can "show work" for problem 1:

1. S = Ph +2B

  S = (4 +3 +5)(8) +2(1/2)(4)(3) = 12(8) +12 = 96 +12 = 108 . . . cm^2

4 0
2 years ago
Read 2 more answers
Solve: the quantity 2x minus 20 divided by 3 = 2x
ira [324]

Answer:

x=-5

Step-by-step explanation:

\dfrac{2x-20}{3}=2x

Multiply both sides by 3:

2x-20=6x

Subtract 2x from both sides:

-20=4x

Divide both sides by 4:

x=-5

Hope this helps!

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3 years ago
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Nick's boss called to ask if he could cover another employee's shift on Friday night. However, Nick said that he was busy becaus
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Answer: $25

Step-by-step explanation:

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