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3 years ago

Which of the following functions involves exponential decay?

Mathematics

1 answer:

OverLord2011 [107]3 years ago

5 0

I think I don’t know it’s C

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Determine the length and midpoint of the segment whose endpoints are (–15, 9) and (–4, 11).

soldier1979 [14.2K]

The length of the segment is 5√5, the midpoint of the segment is (-9.5,10).

7 0

4 years ago

An employee receives a pay increase from $35,000 per year to $37,500 per year. Calculate the percent increase. Round to the near

arsen [322]

Answer:

The percentage increase in salary of employee is 7.14 %

Step-by-step explanation:

Given as :

The initial pay of employee = $35,000 per year

The increase pay of employee = $37,500 per year

Let The percentage increase in salary = X %

So, X = $\frac{increase salary - initial salary}{initial salary}$ × 100

Or, X = $\frac{$37,500 - $35,000}{$35,000}$ × 100

Or, X = $\frac{$2,500}{$35,000}$ × 100

∴ X = 0.0714 × 100 = 7.14 %

Hence The percentage increase in salary of employee is 7.14 % Answer

8 0

3 years ago

Read 2 more answers

Find the area of the triangle with A= 60° b=11 feet and c=8 feet

Rudik [331]

Answer:

5280

Step-by-step explanation:

if u times them all up first u get 60 times 11 witch = 660 and then i times 660 and 8 to get 5280

5 0

3 years ago

Given log32≈0.631 and log37≈1.771, what is log314

Solnce55 [7]

Answer:

the log to the base 3 of 14 is 2.402

Step-by-step explanation:

You must find a way to indicate that 3 is the base; you cannot run this '3' together with 2, 7 or 14.

Example:

log to the base 3 of 2 = 0.631

log to the base 3 of 7 = 1.771

Note that 2 times 7 is 14. Thus, to obtain the log to the base 3 of 14, we must ADD the two logs shown above:

0.631

+1.771

----------

2.402

Thus, the log to the base 3 of 14 is 2.402.

Check: Does 3^2.402 = 14? YES

8 0

3 years ago

Historically, these bolts have an average thickness of 10.1 mm. A recent random sample of 10 bolts yielded these thicknesses: (D

Strike441 [17]

Answer:

So, the sample mean is 9.99.

So, the standard deviation is 0.32.

Step-by-step explanation:

From Exercise we have the next numbers: 9.7 9.9 10.3 10.1 10.5 9.4 9.9 10.1 9.7 10.3.

So, N=10, because we have 10 numbers.

We calculate the sample mean:

$\overline{x}=\frac{9.7+ 9.9+ 10.3+ 10.1+ 10.5+ 9.4+ 9.9+ 10.1+ 9.7+ 10.3}{10}\\\\\overline{x}=\frac{99.9}{10}\\\\\overline{x}=9.99$

So, the sample mean is 9.99.

We use the formula for standard deviation:

$\sigma=\sqrt{\frac{1}{N}\sum_{i=1}^N(x_i-\overline{x})^2}$

Now, we calculate the sum

$\sum_{i=1}^{10}(x_i-9.99)^2=(9.7-9.99)^2+(9.9-9.99)^2+(10.3-9.99)^2+(10.1-9.99)^2+(10.5-9.99)^2+(9.4-9.99)^2+(9.9-9.99)^2+(10.1-9.99)^2+(9.7-9.99)^2+(10.3-9.99)^2\\\\\sum_{i=1}^{10}(x_i-9.99)^2=1.009$

Therefore, we get

$\sigma=\sqrt{\frac{1}{N}\sum_{i=1}^N(x_i-\overline{x})^2}\\\\\sigma=\sqrt{\frac{1}{10}\cdot 1.009}\\\\\sigma=0.32$

So, the standard deviation is 0.32.

5 0

4 years ago