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Harrizon [31]
3 years ago
12

The variables x and y vary inversely. When y is 5, x is 3. What is x when y is 15?

Mathematics
1 answer:
koban [17]3 years ago
6 0
The variables x and y vary inversely. When y is 5 x is 3, so when y is 15 x is 9.
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Which of the following are identities? Check all that apply
Natasha2012 [34]

Answer:

A, C

Step-by-step explanation:

Actually, those questions require us to develop those equations to derive into trigonometrical equations so that we can unveil them or not. Doing it only two alternatives, the other ones will not result in Trigonometrical Identities.

Examining

A) True

\frac{1-tan^{2}x}{2tanx} =\frac{1}{tan2x} \\ \frac{1-tan^{2}x}{2tanx} =\frac{1}{\frac{2tanx}{1-tan^{2}x}}\\ tan2x=\frac{1-tan^{2}x}{2tanx}

Double angle tan2\alpha =\frac{1 -tan^{2}\alpha }{2tan\alpha}

B) False,

No further development towards a Trig Identity

C) True

Double Angle Sine Formula sin2\alpha =2sin\alpha *cos\alpha

sin(8x)=2sin(4x)cos(4x)\\2sin(4x)cos(4x)=2sin(4x)cos(4x)

D) False No further development towards a Trig Identity

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7 0
3 years ago
Read 2 more answers
PLEASE ANSWER, WILL MARK CORECT ANSWER BRAINLIEST
Anna007 [38]

Answer:

B, D

Step-by-step explanation:

-3(0.15 - 0.2 +0.25p) = -3(-0.05 +0.25p) = 0.15-0.75p

A doesn't work because -3(0.15 - 0.2 +0.25p) = -0.45+0.6-0.75

C doesn't work because 3(0.15+0.2+0.25p) = 0.45+0.6+0.75 which doesn't equal -0.45+0.6-0.75.

E doesn't work because 0.15-0.2 = -0.05 not 0.05.

4 0
3 years ago
Read 2 more answers
Mathematics with applications in the management, Natural, and Social Sciences Twelfth edition
Monica [59]

Answer:

In 2015 the both populations were the same and from that year the population of millennials surpassed the population of boomers

Step-by-step explanation:

\left \{ {{10x+13y = 1125} \atop {-2x+7y = 495}} \right.

x=14

Boomer: 10(14)+13y=1125

               140+13y=1125

                       13y=1125-140

                       y= 985/13

                       y= 75.77 (75.77 millions of boomers in 2014)

Millenials: -2(14) +7y = 495

                  -28 +7y = 495

7y= 495+28

y= 523/7

y=74.71  (74.71 millios on millenials in 2014)

In 2014 the population of boombers were still greater than the population of millennials

The solution of the system of equations will give us the point where the populations were equalized, and from that point the population of boombers will be less than that of the millennials.

Boomers: 10x+13y = 1125

                 y= (-10x +1125)/13

Millenials: -2x+7y = 495

                 y= (2x+495)/7

We match both expressions of "y"

(-10x +1125)/13 =(2x+495)/7

cross multiply:

(-10x +1125)*7 =(2x+495)*13

-70x + 7875 = 26x + 6435

we group similar terms:

7875 -6435 = 26x+70x

1440 = 96x

x= 1440/96

x= 15

In 2015 the both populations were the same and from that year the population of millennials surpassed the population of boomers

4 0
3 years ago
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