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3 years ago

Simplify the expression: In(e^5x).

Mathematics

2 answers:

Irina18 [472]3 years ago

7 0

$\ln e^{5x}=5x$

nydimaria [60]3 years ago

5 0

Any such log shall be equal to the exponent, in this case 

Answer = 5x

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The change in altitude of a bird after 2 __ 1 2 seconds was –41 __ 1 4 feet. What was the average change in altitude of the bird

svlad2 [7]

Answer:

$Average\ Change = -1\frac{7}{10} ft/s$

Step-by-step explanation:

Given

$Altitude\ Change = -4\frac{1}{4} \ ft$

$Time = 2\frac{1}{2}\ s$

Required

Determine the average change

This is calculated as follows:

$Average\ Change = \frac{Altitude\ Change}{Time}$

This gives:

$Average\ Change = \frac{-4\frac{1}{4}}{2\frac{1}{2}}$

$Average\ Change = -4\frac{1}{4}/2\frac{1}{2}$

Convert to improper fractions

$Average\ Change = -\frac{17}{4}/\frac{5}{2}$

Convert to multiplication

$Average\ Change = -\frac{17}{4}*\frac{2}{5}$

$Average\ Change = -\frac{17}{2}*\frac{1}{5}$

$Average\ Change = -\frac{17}{10}$

$Average\ Change = -1\frac{7}{10} ft/s$

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3 years ago

Jessica weighed her dog at the end of each month for three months. At the end of the first month, her dog gained 12.48 pounds. A

uranmaximum [27]

Answer:59.39pounds

Step-by-step explanation:

Because you add 26.34+20.57+12.48 and then you will he 59.39points

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3 years ago

Solving multistep linear equations and inequalities help me please

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Answer:

Step-by-step explanation:

Part A:

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Part B:

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3 years ago

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3 years ago

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Reba measured a house and its lot and made a scale drawing. She used the scale 9 inches = 7 feet. What is the scale factor of th

Otrada [13]

The scale factor of the Reba's drawing is 9/84, 3/28

Step-by-step explanation:

The scale factor is the ratio between the two corresponding sides of the figure. The point worth noting in computing the scale factor is that both sides must have similar units of dimension while using for comparison purpose.

Given the scale used by Reba is 9 inches to 7 feet

Since both the units are different, we have the option to either convert inches to feet or vice versa

We proceed with converting feet to inches

We know that 1 foot equals to 12 inches. Hence 7 feet would equal 84 inches.

Now scale factor= first dimension/ corresponding dimension

Scale factor= 9/84 which can be reduced to 3/28

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3 years ago