Write an equivalent expression for y + y + y + y

What is the period of the graph of y=1/2 sin (2x)-3?<br> A.3<br>B.2<br>C.1/2<br>D. Pi

docker41 [41]

The period of the y=1/2 sin (2x)-3 is 2.

We have given that,

y=1/2 sin (2x)-3

We have to determine the period

<h3>What is the period?</h3>

A period is the part of the menstrual cycle when a woman bleeds from her vagina for a few days.

Normally the period of sin(2x) is 2x, but the pi inside the sin(2x) is a horizontal compression by a factor of 1/pi.

So 2pi·1/pi = 2

The 1/2 and -3 do not impact the period. Those just impact the amplitude (vertical aspect) of the graph.

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8 0

2 years ago

The supplement of the complement of an angle is 132 degrees. What is the supplement of that angle

MAVERICK [17]

Based on the information given, it should be noted that the supplement will be 48°.

It should be noted that two angles are called supplementary angles when the values that are added together will be equal to 180°.

In this case, we've been informed that one of the angles is 132°. Therefore, the value of the second angle will be:

= 180° - 132°

= 48°

The second angle is 48°.

Learn more about angles on:

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3 0

2 years ago

The rate of growth of profit (in millions) from an invention is approximated by Upper P prime (x )equals x e Superscript negati

Alecsey [184]

Answer:

The function is $P(x) = \frac{1}{2} e^{-x^2} +0.016$

Step-by-step explanation:

From the question we are told that

The rate of growth is $P'(x) = xe^{x} - x^2$

The total profit is $P(2) =$ $25,000

The time taken to make the profit is $x = 2 \ years$

From the question

$P'(x) = xe^{-x^2}$ is the rate of growth

Now here x represent the time taken

Now the total profit is mathematically represented as

$P(x) = \int\limits {P'(x)} \, = \int\limits {xe^{-x^2}} \,$

So using substitution method

We have that

$u = - x^2$

$du = 2xdx$

So

$p(x) = \int\limits {\frac{1}{2} e^{-u}} \, du$

$p(x) = {\frac{1}{2} [ e^{-u}} +c ]$

$p(x) = {\frac{1}{2} e^{-x^2}} + \frac{1}{2} c$ recall $u = - x^2$ and let $\frac{1}{2} c = Z$

At x = 2 years

$P(x) =$ $25,000

So

Since the profit rate is in million

$P(x) =$ $25,000 = $\frac{25000}{1000000} =$ $0.025 millon dollars

So

$0.025 = {\frac{1}{2} e^{-2^2}} + Z$

=> $Z = 0.025 - {\frac{1}{2} e^{-2^2}}$

$Z = 0.016$

So the profit function becomes

$P(x) = \frac{1}{2} e^{-x^2} +0.016$

5 0

3 years ago

I NEED HELP WITH MATH PLEASE <br> FIND THE VALUE OF THE VARIBLE

Elina [12.6K]

T = 60°
all interior angles of a triangle always add up to 180°. using this information we can divide 180 by 3 to get 60.

8 0

3 years ago

Find the value of x<br> x=

Tpy6a [65]

Answer:

Step-by-step explanation:

x + 115 + 95 + 70 = 360 ( being sum of angles of quadrilateral )

x = 360 - 115 - 95 - 70

x = 80

8 0

3 years ago

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