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aniked [119]
3 years ago
13

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Mathematics
2 answers:
vodka [1.7K]3 years ago
8 0

Answer:  A) y = 96,

The maximum number of moose the forest can sustain at one time.

<u>Step-by-step explanation:</u>

The horizontal asymptote (H.A.) is the value of y that the graph cannot cross.

Since the degree of the numerator equals the degree of the denominator, divide their coefficients to find the H.A.

y=\dfrac{60}{0.625}\\\\\\\large\boxed{y=96}

Oliga [24]3 years ago
7 0

The answer is A: y=96 The maximum number of moose that the forest can sustain at one time.

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den301095 [7]

Answer: I know 3.6 + 4.0 = 7.2

Step-by-step explanation:

3 0
3 years ago
Use a power series to approximate the value of the integral with an error of less than 0.0001. (Round your answer to four decima
otez555 [7]

Answer:

The answer is "0.9461"

Step-by-step explanation:

Given:

\int^1_0 \frac{sin(x)}{x} dx\\\\

\int^1_0 \frac{sin(x)}{x} dx\\\\ ≈\sum^2_{n=0}\frac{(-1)^n x^{2n+1} (-1)^n (x-1)^n}{(2n + 1)!}

\therefore

\to \sin x = \sum^{\infty}_{n=0} (-1)^n\frac{x^{(2n+1)}}{(2n + 1)!}

\because \\\\  \to \frac{\sin x}{x} =\sum^{\infty}_{n=0} (-1)^n \frac{x^{2n+1-1}}{(2n+1)!}\\

           =\sum^{\infty}_{n=0} (-1)^n \frac{x^{2n}}{(2n+1)!}

The value is in between 0 and 1 then:

 \to \int^1_0 \frac{sin(x)}{x} = =\sum^{2}_{n=0}  \frac{(-1)^n}{ (2n+1) (2n+1)!}

The above-given series is an alternative series, and it will give an error, when the nth term is bounded by its absolute value, that can be described as follows:

\to \frac{1}{(2n+3) (2n+3)!}< 0.0001\\\\\to (2n+3) (2n+3)!> 0.0001\\\\\to n\geq 2 \\

So,

\int^1_0 \frac{sin(x)}{x} dx\\\\ ≈1 - \frac{1}{3 \cdot 3!}+\frac{1}{5 \cdot 5!}\\\\

                  \approx  1 - \frac{1}{3 \cdot 6}+\frac{1}{5 \cdot 120}\\\\\approx  1 - \frac{1}{18}+\frac{1}{600}\\\\\approx  1 - \frac{1}{18}+\frac{1}{600}\\\\\approx  \frac{18-1}{18}+\frac{1}{600}\\\\\approx  \frac{17}{18}+\frac{1}{600}\\\\\approx  \frac{1700+3}{1800}\\\\ \approx \frac{1703}{1800}\\\\\approx  0.9461

5 0
3 years ago
6. Find the variance and standard deviation for the given data using the formula. Round your answer to one more decimal place th
Thepotemich [5.8K]

Answer and Step-by-step explanation:

Variance is the measurement of the spread bewteen the numbers of the data set and can be calculated by the formula:

σ² = ∑(x  - ⁻x)² / n

1) With the data, find its mean (⁻x) by adding all the values and dividing the sum by total number of elements the data has;

2) Subtract each value of the data to the mean;

3) Square the result of the subtractions;

4) Add the squares;

5) Divide the sum by the total number of elements of the set;

6) The result is the Variance (σ²);

Standard Deviation is the measure of how far the values of the data set are from the mean and it is the square root of Variance:

σ = \sqrt{(variance)^{2}}

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6 0
4 years ago
What do you guys think I’d the best answer
OLga [1]

Answer:

9

Step-by-step explanation:

I belive this is the best answer

5 0
3 years ago
I REALLY NEED HELP ASAP
xeze [42]

Answer:

I'm pretty sure it's C

Step-by-step explanation:

because that equation simplifyed = -7/8x-8

6 0
3 years ago
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