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faust18 [17]
3 years ago
7

The equation sec^2x-1=tan^2 x is an identity. True or false?

Mathematics
1 answer:
worty [1.4K]3 years ago
6 0
The answer i would believe is to be true.

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Which of the following is an arithmetic sequence?
MaRussiya [10]
Answer: {2, -2, -6, -10}

Arithmetic sequences are defined by a common difference between the numbers that’s both constant and consecutive.

To break it down:

The first option is {-1, 3, -3, -1}, which appears to be alternating, and there is more than 1 difference between the n term values. That is:

-1 to 3 = increase of 4
3 to -3 = decrease of 6
-3 to -1 = increase of 2

Therefore does not follow the definition of an arithmetic sequence.

The second option (the answer) {2, -2, -6, -10} is arithmetic, as it consistently and thus consecutively decreases by 4.

Finally, the last two sequences have the same issue with their pattern, {3, 6, 9, 15}
and {4, 14, 24, 32}. In which they stay constant for the first three n terms, but suddenly change in value on the 4th n term. Therefore, they are not arithmetic.

I hope this helped!
8 0
3 years ago
(50 points)There are x ducks in a pond. The number of swans in the pond is equal to the square root of the number of ducks. If t
RoseWind [281]

there are nine ducks and 3 swans

sqrt of 9 equals 3

3 + 9 = 12

6 0
2 years ago
Read 2 more answers
Mulch to cover a rectangle garden cost $48. Mulch is needed to cover a larger,similar garden. the ratio of dimensions 2:3. how m
Annette [7]
It would cost $72 dollars to cover the larger garden
7 0
3 years ago
A TV station has 11 minutes of commercials for each 60 minutes of air time. What percent
Julli [10]

Answer: Approximately 18.33%

Work Shown:

11/60 = 0.1833 approximately

This decimal converts to 18.33% when moving the decimal point over to the right two spots. Round this value however you need to.

5 0
2 years ago
Coulter Supply has a total debt ratio of .46. What is the equity multiplier? Select one: a. .89 b. 1.17 c. 1.47 d. 1.85 e. 2.17
Archy [21]

Answer:

Option D.

Step-by-step explanation:

The formula for total debt ratio is

\text{Total debt ratio}=\dfrac{\text{Total assets - Total Equity}}{\text{Total assets}}

It can be rewritten as

\text{Total debt ratio}=1-\dfrac{\text{Total Equity}}{\text{Total assets}}     .... (1)

We know that,

\text{ Equity multiplier}=\dfrac{\text{Total Equity}}{\text{Total assets}}          ... (2)

Using (1) and (2) we get

\text{Total debt ratio}=1-\dfrac{1}{\text{Equity multiplier}}

Substitute total debt ratio=0.46 in the above equation.

0.46=1-\dfrac{1}{\text{Equity multiplier}}

0.46-1=-\dfrac{1}{\text{Equity multiplier}}

-0.54=-\dfrac{1}{\text{Equity multiplier}}

\text{Equity multiplier}=-\dfrac{1}{-0.54}

\text{Equity multiplier}=1.85185185

\text{Equity multiplier}\approx 1.85

Therefore, the correct option is D.

7 0
3 years ago
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