All categories

3 years ago

What is the final elevation if a diver starts at 5 m and changes -16 m?

Mathematics

2 answers:

IRISSAK [1]3 years ago

4 0

Answer: you would do -16 - 5 = -21

Zepler [3.9K]3 years ago

4 0

Answer:

Step-by-step explanation:

5-(-16)

5+16

21m

You might be interested in

If the least value of n is 5, which inequality best shows all the possible values of n?

Lostsunrise [7]

N is greater than or equal to 5. (n > 5)

5 0

2 years ago

How many zeros does the function f(x) = 3x12 − 17x8 + 11x4 − 6x + 23 have?

dem82 [27]

How many zeros does the function f(x) = 3x12 − 17x8 + 11x4 − 6x + 23 have?

Answer: the third option (12 zeros..).

Use ^ to denote an exponent..

f(x) = 3x^12 - 17x^8 + 11x^4 - 6x + 23..

We know from that fact that the number of zeros (real or complex) in a polynomial is the same as the degree of the polynomial..

The degree is the greatest/highest power of the terms, which in this case is 12 (since 12 is the greatest exponent..)..

The degree is 12, thus it means there are 12 zero's..

Answer: the third option (12 zero's )...

3 0

2 years ago

Can someone please help

chubhunter [2.5K]

Answer:

Step-by-step explanation:

She has 28056 before any deductions are taken off. As far as the IRS is concerned every penny she earns is fully accountable for the 4 categories that she has to pay into.

The problem with the question is you are not told what is wanted. Do they want the income before or after the deductions have been made or do they want the accountable sum (28056)? I don't really know. 28056 is one possible answer.

Total deductions

Federal Tax 3780.90
State Tax 770.98
Medicare 406.81
SSI 1739.47
All Deductions 6698.16

Income = 28056 - 6698.16 = 21357.84

I think the answer you want is 28056

One answer it is not is 4*28056 = 112224. The tax is far too low for that kind of income.

3 0

3 years ago

Evaluate the following integral using trigonometric substitution

serg [7]

Answer:

The result of the integral is:

$\arcsin{(\frac{x}{3})} + C$

Step-by-step explanation:

We are given the following integral:

$\int \frac{dx}{\sqrt{9-x^2}}$

Trigonometric substitution:

We have the term in the following format: $a^2 - x^2$ , in which a = 3.

In this case, the substitution is given by:

$x = a\sin{\theta}$

$dx = a\cos{\theta}d\theta$

In this question:

$a = 3$

$x = 3\sin{\theta}$

$dx = 3\cos{\theta}d\theta$

$\int \frac{3\cos{\theta}d\theta}{\sqrt{9-(3\sin{\theta})^2}} = \int \frac{3\cos{\theta}d\theta}{\sqrt{9 - 9\sin^{2}{\theta}}} = \int \frac{3\cos{\theta}d\theta}{\sqrt{9(1 - \sin^{\theta})}}$

We have the following trigonometric identity:

$\sin^{2}{\theta} + \cos^{2}{\theta} = 1$

$1 - \sin^{2}{\theta} = \cos^{2}{\theta}$

Replacing into the integral:

$\int \frac{3\cos{\theta}d\theta}{\sqrt{9(1 - \sin^{2}{\theta})}} = \int{\frac{3\cos{\theta}d\theta}{\sqrt{9\cos^{2}{\theta}}} = \int \frac{3\cos{\theta}d\theta}{3\cos{\theta}} = \int d\theta = \theta + C$