What is the domain of the function represented by this graph?

Apex Learning Study 4.2.1 What units do you use to report the area of a circle with a radius of 50 feet?

klasskru [66]

Answer:

<h3> in square feet</h3>

Step-by-step explanation:

Area of anything is<u> allways </u>reported <u>in square units</u>. Usually that is square of given unit because it's the simplest way:

R = 50 ft

A = πR² = π•(50 ft)² = π • 50 ft • 50 ft = 2500π ft² ≈ 7854 ft²

{Of course you can re-calculate the units, ex.:

3 feet = 1 yard so 50 ft = 50/3 yd then

A = πR² = π•(50/3 yd)² = π • 50/3 yd • 50/3 yd = 2500/9 π yd² ≈ 872.7 yd² }

3 0

2 years ago

Jane was paid $316 for 40 hours of work. Use compatible numbers to find about how much

Vinvika [58]

Answer:

$7.9 /hour

Step-by-step explanation:

$316/40 = $7. 9per hour

4 0

2 years ago

50 POINTS!! Pleasee helppppp!!! A scientific journal recently reported that there are currently 2400 black rhinos in the world t

Harman [31]

Answer:

C

Step-by-step explanation:

So, we started out with 2,400 black rhinos.

And we know that they are declining at a rate of 10% per year.

In other words, each subsequent year will only have <em>90%</em> of the previous year's rhinos.

Therefore, our function is:

$f(x)=2400(.9)^x$

We can do some elimination first.

First, the starting point or y-intercept <em>must </em>be 2400 since that's the number of rhinos we started out with.

Therefore, we can eliminate A and D.

From the remaining choices B or C, we can technically also eliminate B. This is because from our function, we know it's exponential decay, and exponential decay is <em>not</em> a straight line.

However, to double check, let's check the population after 10 years using our function. So:

$f(10)=2400(.9)^{10}$

Use a calculator:

$f(10)\approx837$

So, after 10 years, the population should be around 840.

B is definitely <em>not</em> 840 (at x=10). However, C is right around it.

Therefore, we can conclude that C is the right answer.

And we're done!

6 0

2 years ago

An amusement park would like to determine if they want to add in a new roller coaster. In order to decide whether or not they sh

Rzqust [24]

Using the z-distribution, it is found that the 90% confidence interval is given by: (0.6350, 0.6984).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 90% confidence level, hence $\alpha = 0.9$ , z is the value of Z that has a p-value of $\frac{1+0.9}{2} = 0.95$ , so the critical value is z = 1.645.