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4 years ago

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

Mathematics

1 answer:

Leokris [45]4 years ago

3 0

Answer:

14848

Step-by-step explanation:

These are the terms of a geometric sequence with n th term

$a_{n}$ = a $r^{n-1}$

where a is the first term and r the common ratio

here a = 29 and r = 58 ÷ 29 = 116 ÷ 58 = 2, hence

$a_{10}$ = 29 × $2^{9}$ = 29 × 512 = 14848

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it cost $1.25 to mail a packege that weighs up to 4 ounces each additional ounce costs $0.65 how much in dollera and cents does

NISA [10]

10 - 4 = 6ounces

6 × 0.65 = $3.90

3.90 + 1.25 = $5.15

it costs $5.15 to mail a package that weighs 10oz

8 0

3 years ago

Read 2 more answers

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

natulia [17]

Answer:

$g'(x)=\frac{2e^x-e^{-\frac{x}{2}}}{2(e^x+e^{-\frac{x}{2}})}$

Step-by-step explanation:

We are given that a function

$g(x)=ln(e^x+e^{-\frac{x}{2}})$

We have to find the derivative of function

Differentiate w.r.t x

$g'(x)=\frac{1}{e^x+e^{-\frac{x}{2}}}\times (e^x+e^{-\frac{x}{2}}\times (-\frac{1}{2}))$

By using formula

$\frac{d(lnx)}{dx}=\frac{1}{x}$

$\frac{d e^x}{dx}=e^x$

$g'(x)=\frac{e^x-\frac{e^{-\frac{x}{2}}}{2}}{e^x+e^{-\frac{x}{2}}}$

Hence, the derivative function

$g'(x)=\frac{2e^x-e^{-\frac{x}{2}}}{2(e^x+e^{-\frac{x}{2}})}$

3 0

4 years ago

A correlation coefficient between number of miles driven and number of gallons of gas remaining is most likely to be __________.

Nata [24]

A correlation coefficient between number of miles driven and number of gallons of gas remaining is most likely to be 0 to -1. Then the correct option is A.

<h3>What is a correlation coefficient?</h3>

A mathematical indicator of the degree of the association seen between fluctuation of 2 factors is the correlation coefficient.

A correlation coefficient between number of miles driven and number of gallons of gas remaining is most likely to be 0 to -1.

Then the correct option is A.

The complete question is attached below.

More about the correlation coefficient link is given below.

brainly.com/question/15577278

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