what do I do on C it says assess the reasonableness of your answer in B and use your estimate from A to explain

Americans who are 65 years of age or older make up 12.9% of the total population. If there at 30.3 million american in this age

telo118 [61]

Total population of US is 234.88 million.

Step-by-step explanation:

Given,

Number of people are 65 or older = 30.3 million

This represents 12.9% of total population.

Let,

x represent the total population.

12.9% of x = 30.3 million

$\frac{12.9}{100}x=30.3\ million\\0.129x=30.3\ million$

Dividing both sides by 0.129x

$\frac{0.129x}{0.129}=\frac{30.3}{0.129}\ million\\\\x=234.88\ million$

Total population of US is 234.88 million.

Keywords: percentage, division

Learn more about percentage at:

#LearnwithBrainly

5 0

2 years ago

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

What kind of transformation is illustrated in this figure ?

blsea [12.9K]

Your answer would be translation (brainliest answer please)

8 0

2 years ago

Read 2 more answers

How do I write this fraction as a decimal 14 3/5

Softa [21]

we have

$14 \frac{3}{5}$

This is a mixed number

we know that

A mixed number is a combination of a whole number and a fraction.

So

$14 \frac{3}{5}$ is equal to

$14 +\frac{3}{5}$

where

$14$ is the whole number

$\frac{3}{5}$ is the fraction

$\frac{3}{5}=0.60$

$14 +\frac{3}{5} =14+0.60\\ \\ =14.60$

therefore

the answer is

$14.60$

3 0

2 years ago

Read 2 more answers

a basket contains 3 green 4 yellow 5 blue and 6 red tickets one of which is randomly selected probability of drawing a green or

elixir [45]

Answer: 21

Step-by-step explanation:

7 0

2 years ago