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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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Please help really important for my grade :(
Licemer1 [7]

Answer:

≈ 50.7 cm²

Step-by-step explanation:

The area (A) of Δ XYZ is calculated as

A = \frac{1}{2} bh ( b is the base and h the perpendicular height ), that is

A = \frac{1}{2} × XY × YZ

Calculate YZ using the tangent ratio in the right triangle

tan40° = \frac{opposite}{adjacent} = \frac{YZ}{XY} = \frac{x}{11} ( multiply both sides by 11 )

11 × tan40° = x , that is

YZ ≈ 9.23 cm

Thus

A = \frac{1}{2} × 11 × 9.23 = 5.5 × 9.23 ≈ 50.7 cm² ( to 3 significant figures )

7 0
3 years ago
Consider the geometric sequence below.
vladimir1956 [14]

Answer:

f(1) = 8

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Step-by-step explanation:

f(1) means the firs term in a sequence.

In the function f(n), represented by 8, 4, 2, 1, .., the first term is 8.

f(1) = 8

To find the common ratio, divide any term by the term before it.

We can use any two of the given terms in the sequence EXCEPT for 8 because it is the first term and does not have a term before it.

I choose to divide the second term by the first term:

4/8 = 1/2 = 0.5

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3 years ago
Can somebody please help me with this question and provide an explanation?
SSSSS [86.1K]

Answer:

first of all the formula

y = mx+c

where m is slope and c is y-intercept.

now substitute the values-

y = 2x - 5

(for the slope here is 2 and the part where the line intercepts y axis is -5

therefore

y = 2x-5

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Read 2 more answers
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Answer:

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Step-by-step explanation:

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ehidna [41]
Graph A is correct! :)
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