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3 years ago

I don’t know what the anwsered would be i don’t understand this module

Mathematics

1 answer:

LekaFEV [45]3 years ago

8 0

Answer:25,000(0.15)^x

Step-by-step explanation:

I think this is the answer because there are 25,000 gray wolf in the world and they are expected to grow by 15%. 15% is .15. So those two numbers multiplied, to the x exponent should give you the answer of how large the wolf population is expected to be.

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For f(x)=4sin(x2) between x=0 and x=3, find the coordinates of all intercepts, critical points, and inflection points to two dec

telo118 [61]

Answer:

Intercepts:

x = 0, y = 0

x = 1.77, y = 0

x = 2.51, y = 0

Critical points:

x = 1.25, y = 4

x = 2.17 , y = -4

x = 2.8, y = 4

Inflection points:

x = 0.81, y = 2.44

x = 1.81, y = -0.54

x = 2.52, y = 0.27

Step-by-step explanation:

We can find the intercept by setting f(x) = 0

$4sin(x^2) = 0$

$sin(x^2) = 0$

$x^2 = n\pi$ where n = 0, 1, 2,3, 4, 5,...

$x = \sqrt(n\pi)$

Since we are restricting x between 0 and 3 we can stop at n = 2

So the function f(x) intercepts at y = 0 and x:

x = 0

x = 1.77

x = 2.51

The critical points occur at the first derivative = 0

$f^{'}(x) = 4cos(x^2)2x = 8xcos(x^2) = 0$

$xcos(x^2) = 0$

$x = 0$ or

$cos(x^2) = 0$

$x^2 = \frac{\pi}{2} + n\pi$ where n = 0, 1, 2, 3

$x = \sqrt{\pi(n+1/2)}$

Since we are restricting x between 0 and 3 we can stop at n = 2

So our critical points are at

x = 1.25, $y = f(1.25) = 4sin(1.25^2) = 4$

x = 2.17 , $y = f(2.17) = 4sin(2.17^2) = -4$

x = 2.8, $y = f(2.8) = 4sin(2.8^2) = 4$

For the inflection point, we can take the 2nd derivative and set it to 0

$f^[''}(x) = 8(cos(x^2) - xsin(x^2)2x) = 8cos(x^2) - 16x^2sin(x^2) = 0$

$cos(x^2) = 2x^2sin(x^2)$

$tan(x^2) = \frac{1}{2x^2}$

We can solve this numerically to get the inflection points are at

x = 0.81, $y = f(0.81) = 4sin(0.81^2) = 2.44$

x = 1.81, $y = f(1.81) = 4sin(1.81^2) = -0.54$

x = 2.52, $y = f(2.52) = 4sin(2.52^2) = 0.27$

3 0

3 years ago

Twelve years ago, Jane was five times as old as Anne. In three years' time, Anne will be half Jane's

Soloha48 [4]

Answer:

Jane: 37 years old

Anne: 17

Step-by-step explanation:

Jane 12 years ago: 5x

Anne 12 years ago: x

In three years into the future:

Jane: 5x+15

Anne: x+15

CURRENT TIME:

Jane: 5x+12

Anne: x+12

Equation (using 3 years into the future ages): 5x+15=2(x+15)

5x+15=2x+30

(subtract 15 from both sides)

5x=2x+15

3x=15

x=5

Therefore, Jane is 37 years old and Anne is 17 years old.

3 0

3 years ago

In line 73, the author compares Mrs. Deverell to

adell [148]

The correct option is (B) show that Mrs. Deverell continues to be diminished in her new home.

<h3>What does line 73 described?</h3>

In line 73, the author compares Mrs. Deverell to an "intimidated child" primarily in order to -

Mrs. Deverell had no part to perform in her forever residence with Angel—all housekeeping work were to be left to a servants alone, and all other obligations were to be taken over from Angel.
Mrs. Deverell would given situation wander all around house, bored, when she had nothing to do.
The author utilizes the metaphor of a scared child in this situation.
As a result, this analogy conveys to the reader Mrs. Deverell's limited status in her new home.

Therefore, according to the writer; in the line 73 the best description for the intimidated child is shown by option B.

To know more about the child, here

brainly.com/question/28154633

#SPJ4

5 0

1 year ago

Please help it’s geometry! I’ll make brainliest

expeople1 [14]

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4 0

2 years ago

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Write the slope-intercept form of the equation of the line through the given point with the given

gizmo_the_mogwai [7]

Step-by-step explanation:

18. y-(-2) = -6(x-2)

y+2 = -6x+12

y = -6x+12-2

y = -6x+10

19. y-(-4) = -½(x-4)

y+4 = -½x+2

y = -½x+2-4

y = -½x-2

8 0

2 years ago