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Dafna11 [192]
3 years ago
10

A biologists uses the equation l = 2a + 13.1 to estimate the length (l), in centimeters, in terms of the age (a), in months. Bas

ed on the model, what is the estimated increase, in centimeters, of the length of the fish each month?
Mathematics
1 answer:
steposvetlana [31]3 years ago
3 0

Answer:

b = 3.1

Step-by-step explanation:

Since the length of one of the longer sides, a, has been given to be 6.3, plug it into the equation.

2(6.3) + b = 15.7

12.6 + b = 15.7

b = 15.7 - 12.6

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goblinko [34]

Answer:

2/4

Step-by-step explanation:

It’s very easy

6 0
2 years ago
find the Taylor Series for tan−1(x) based at 0. Give your answer using summation notation and give the largest open interval on
enyata [817]

Let f(x)=\tan^{-1}x. Then f'(x)=\frac1{1+x^2}. Note that f(0)=0.

Recall that for |x|, we have

\displaystyle\frac1{1-x}=\sum_{n\ge0}x^n

This means that for |-x^2|=|x|^2, or -1, we have

\displaystyle f'(x)=\frac1{1+x^2}=\frac1{1-(-x^2)}=\sum_{n\ge0}(-x^2)^n=\sum_{n\ge0}(-1)^nx^{2n}

Integrate the series to get

f(x)=f(0)+\displaystyle\sum_{n\ge0}\frac{(-1)^n}{2n+1}x^{2n+1}

\implies\tan^{-1}x=\displaystyle\sum_{n\ge0}\frac{(-1)^n}{2n+1}x^{2n+1}

6 0
3 years ago
Louren measures the distance around her circular mirror to
Veseljchak [2.6K]

Answer:

53 cm.

Step-by-step explanation:

Circumference = pi times diameter

We are trying to find diameter so rearrange

Circumference/pi = diameter

166.5/pi = 52.998596

Approximately 53 centimeters of lace

3 0
3 years ago
Piper deposited $734.62 in a savings account that earns 2.6% simple interest. What is Piper’s account balance after seven years?
xz_007 [3.2K]
That would be $868.32
3 0
3 years ago
Read 2 more answers
If f(x)= x2 + 2x - 6 and g(x)= 3x2 - 5x - 7, find f(x)-g(x).
dezoksy [38]

Answer:

- 2x² + 7x + 1

Step-by-step explanation:

f(x) - g(x)

= x² + 2x - 6 - (3x² - 5x - 7) ← distribute parenthesis by - 1

= x² + 2x - 6 - 3x² + 5x + 7 ← collect like terms

= - 2x² + 7x + 1

8 0
3 years ago
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