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labwork [276]
3 years ago
7

To estimate the slope of the tangent line at t = 15, we average the slopes of the adjacent secant lines for t = 10 and t = 20. A

s obtained in part (a), those slopes are msec = −148.8 and msec = −112.8, respectively. Therefore, the slope of the tangent line at t = 15 is as follows. (In the last step, round your answer to one decimal place.)
Mathematics
1 answer:
Nata [24]3 years ago
4 0

Answer:

  -130.8

Step-by-step explanation:

The average of the two slope values is ...

  (-148.8 -112.8)/2 = -261.6/2 = -130.8

The slope of the tangent line at t=15 is approximately -130.8.

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A square pyramid and a cube have the same surface area. The length of each side of the base of the square pyramid is 10 feet. Th
Brrunno [24]

Answer:

The answer to your question is 23.2 ft

Step-by-step explanation:

Data

length square pyramid = 10 ft

width of a cube = 6 ft

height of the pyramid = ?

The surface area is equal in both figures.

Formula

Surface area of a cube = 6a²

Surface area of a square pyramid = ab + al = l x l + (l x h) /2

Process

1.- Calculate the surface area of the cube

           Ac = 6(6)² = 6(36)

                            = 216 ft²

2.- Substitute data in the square pyramid formula

           Ap = (10 x 10) + (10h)/2

3.- Equal both areas

               216 = 100 + 5h

- Solve for h

               216 - 100 = 5h

                         116 = 5h

                          h = 116 / 5

- Result

                          h = 23.2 ft                          

5 0
3 years ago
Find the percent of the number<br> 36% of 50
Hitman42 [59]
The 36% of 50

The answer is 18
3 0
3 years ago
3x over 2x-6 plus 9 over 6-2x
Mars2501 [29]
Answer: 3/2
Explanation:
3x/2x-6 + 9/6-2x
= 3x/2x-6 + 9/-(2x+6)
= 3x/2x-6 + -9/2x-6
= 3x/2x-6 - 9/2x-6
= 3x - 9/2x-6
= 3(x-3)/2(x-3) (cancel out x-3)
= 3/2


7 0
3 years ago
Read 2 more answers
What does this mean?
boyakko [2]

Answer:

Its the symbol "pi" which is 3.14

3 0
3 years ago
Read 2 more answers
Suppose that y varies directly with x<br> and y = 10 when x = 20. What is y<br> when x = 15?
tresset_1 [31]

Answer: y = 7.5

Step-by-step explanation:

Suppose that y varies directly with x

That is, y∝x

Convert y∝x to a full equation by introducing a constant k to the right hand side.

Therefore, y = kx

Given that y = 10 and x = 20

Substitute y and x in the equation above. We have;

10 = k(20)

10 = 20k

20k = 10

k = 10/20

k = 0.5

Since k = 0.5, the equation y = kx becomes y = 0.5x

Now, to find y if x = 15, substitute x in equation y = 0.5x

Therefore, y = 0.5(15)

y = 7.5

5 0
3 years ago
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