MATHEMATICS COLLEGE

I’m really struggling, someone please help!

Answers

Answer 1

Answer:

Hi there! :)

Answer:

$\huge\boxed{C.}$

We can examine each answer choice individually:

A. 569 × 10² = 569 × (10 · 10) = 569 · 100 = 56,900. Therefore, this choice is incorrect.

B. 569 · 10 = 5,690. This choice is incorrect.

C. 10³ · 569 = (10 · 10 · 10) ·569 = 1000 · 569 = 569,000. This choice is correct.

D. 10² · 569 = (10 · 10) · 569 = 56,900. This choice is incorrect.

Therefore, the correct option is C.

Answer 2

Answer:

Answer:

A. 569 × 10² = 569 × (10 · 10) = 569 · 100 = 56,900.

B. 569 · 10 = 5,690.

C. 10³ · 569 = (10 · 10 · 10) ·569 = 1000 · 569 = 569,000.

D. 10² · 569 = (10 · 10) · 569 = 56,900.

So your answer is C

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A fire burned a square - shaped forest 14mi on a side the area is ?

Answers

A square has all sides of the same length. This means that the length and width are both 14 miles. The area of a square is Length times width, or 14 times 14. This comes out to be 196 miles squared

the area is the nuber times the sides which would be 14 times 4, which equals 56

Are the series absolutely, conditionally convergent, or divergent?

Answers

Step-by-step explanation:

∑ sin(nπ/4) / (n³ + 3n)

This is less than 1 / n⁴ for all n > 1. 1/n⁴ is a convergent p-series, so the lesser series also converges. │aₙ│converges for the same reason, so this is absolutely convergent.

∑ (-1)ⁿ⁺¹ ln(n + 1) / (n + 1)

This is an alternating series. bₙ is positive and decreasing, and lim(n→∞) bₙ = 0, so the series converges. Now we need to check if│aₙ│converges. Using comparison test, │aₙ│is greater than 1/n for all n ≥ 6. 1/n is a divergent p-series, so the greater series│aₙ│also diverges. So this is conditionally convergent.

Need someone’s help with this please!!!

Answers

i think it’s option 3, 1/3

Choose the statement below that describes the relationship between a circles diameter and circumference. A. Circumference times diameter is always π. B. Diameter divided by circumference is always π. C. Circumference divided by diameter is always π. D. There is no relationship between circumference and diameter.

Answers

Answer:

Step-by-step explanation:

Use the graph above

Answers

It’s k=3 because when you read a graph you must first run before you go up on

The function f(x)=101+25x2 is represented as a power series f(x)=∑n=0[infinity]cnxn. Find the first few coefficients in the power series. Some of the other problems only ask for the nonzero coefficients, but in this problem you are supposed to include those coefficents that are 0. Also, this problem is only asking for the coefficients of the power series. It does not want you to include the x's or the powers of x.

Answers

Answer:

$\large a_0=101,\;a_1=0,\;a_2=25,\;a_n=0\;for\;n>2$

Step-by-step explanation:

Since f(x) is a polynomial, it is a power series by itself with

$\large a_0=101,\;a_1=0,\;a_2=25,\;a_n=0\;for\;n>2$

On the other hand, the representation of a function as a power series around a given point is unique. This means that these are the only possible coefficients of f as a power series around 0.