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soldier1979 [14.2K]
4 years ago
7

Using the formula r=d/t, where d is the distance in miles, r is the rate, and t is the time in hours, at which rate must you tra

vel to cover 212.5 miles in 2.5 hours?
Mathematics
2 answers:
Romashka [77]4 years ago
8 0

Answer:

85 miles per hour.

Step-by-step explanation:

We have been given a formula r=\frac{d}{t}, d is the distance in miles, r is the rate, and t is the time in hours.

To find the rate, we will substitute our given values in above formula as:

r=\frac{\text{212.5 miles}}{\text{2.5 hours}}

r=\frac{\text{85 miles}}{\text{ hour}}

Therefore, our required rate is 85 miles per hour.

Shtirlitz [24]4 years ago
6 0
R=d/t = 212.5/2.5 = 85
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At what point on the curve y = 2 + 2ex − 4x is the tangent line parallel to the line 4x − y = 3? (x, y) =
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Answer:

{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)

Step-by-step explanation:

From this equation 4x − y = 3

-y = 3 - 4x

then, y = 4x - 3

From line equation y = mx + b

Therefore, the slope is 4

Since the are parallel line, they will have same slope

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y = 2 + 2e^x − 4x

y' = 0 + 2e^x - 4

Therefore,

4 = 2e^x - 4

4 = e^x

x = ln 4 = 1.39

To find the y coordinate

y = 2 + 2e^x − 4x

y = 2 + 2e^ln 4 − 4 ln 4

y = 4.45

Hence, they are parallel at point (1.39 and 4.45)

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Simplify this expression: (-2 - 8x) + (-4x - 10)
nevsk [136]

Answer:

The simplified form of expression<u> </u>(-2 - 8x) + (-4x - 10) is

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Step-by-step explanation:

It is given an expression (-2 - 8x) + (-4x - 10)

<u>To find the simplified expression of (-2 - 8x) + (-4x - 10)</u>

Let expression is given by

(-2 - 8x) + (-4x - 10) = -2 - 8x -4x -10

     = -2 -10 -4x -8x

     = -12 -12x

     -12(x + 1)   (since -12 is common in both terms)

Therefore simplified form is  -12(x + 1)

5 0
3 years ago
Read 2 more answers
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