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2 years ago

Describe 2 ways in which mathematics is used in oceanography.

1 answer:

3 0

It to be used if like you're using the California map or the Colorado map cuz in those states they do that describe two ways in mathematics is used in ocean graphy

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which of the functions have a range of real numbers greater than or equal to 1 or less than or equal to-1

lilavasa [31]

The question is incomplete. Here is the complete question:

Which of the functions have a range of all real numbers greater than or equal to 1 or less than or equal to -1? check all that apply.

A. $y=\sec x$

B. $y= \tan x$

C. $y= \cot x$

D. $y= \csc x$

Answer:

A. $y=\sec x$

D. $y=\csc x$

Step-by-step explanation:

Given:

The range is greater than or equal to 1 or less than or equal to -1.

The given choices are:

Choice A: $y=\sec x$

We know that, the $\sec x=\frac{1}{\cos x}$

The range of $\cos x$ is from -1 to 1 given as [-1, 1]. So,

$|\cos x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\cos x|}\geq 1\\|\sec x|\geq 1$

Therefore, on removing the absolute sign, we rewrite the secant function as:

$\sec x\leq -1\ or\ \sec x\geq 1\\$

Therefore, the range of $y=\sec x$ is all real numbers greater than or equal to 1 or less than or equal to-1.

Choice B: $y= \tan x$

We know that, the range of tangent function is all real numbers. So, choice B is incorrect.

Choice C: $y= \cot x$

We know that, the range of cotangent function is all real numbers. So, choice C is incorrect.

Choice D: $y=\csc x$

We know that, the $\csc x=\frac{1}{\sin x}$

The range of $\sin x$ is from -1 to 1 given as [-1, 1]. So,

$|\sin x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\sin x|}\geq 1\\|\csc x|\geq 1$

Therefore, on removing the absolute sign, we rewrite the cosecant function as:

$\csc x\leq -1\ or\ \csc x\geq 1\\$

Therefore, the range of $y=\csc x$ is all real numbers greater than or equal to 1 or less than or equal to-1.

6 0

3 years ago

The average speed of a train that travels x in 3/4 hour

creativ13 [48]

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Ans: (x/(3/4)) mph = (4x/3)mph = (4/3)x mph
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5 0

2 years ago

Math help ASAP easy points<br><br> What is the value of Z?<br><br> Enter your answer in the box.

Romashka [77]

<h3>Answer: 23</h3>

The three angles of any triangle always add to 180, so,

z+62+95 = 180

z+157 = 180

z+157-157 = 180-157 .... subtract 157 from both sides

z = 23

As a check,

z+62+95 = 23+62+95 = 180

so the answer is confirmed.

3 0

3 years ago

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Does this graph represent a function?

kupik [55]

Yes and the correct one is A

5 0

3 years ago

The front row in a movie theatre has 23 seats. If you were asked to sit in the seat that occupied the median position, in which

Harrizon [31]

Answer:

Step-by-step explanation:

The median is the one in the middle. For an <u>odd</u> number of seats, average the first and last seat numbers.

(1 + 23) / 2 = 24 / 2 = 12. That means there will be 11 people on your left and 11 people on your right.

For an even number of seats, the same method doesn't work as well! If there are 14 seats, for example, (1 + 14) / 2 = 15 / 2 = 7.5, and if you sit in "seat" 7 and a half, it will be awkward!

4 0

2 years ago

Read 2 more answers