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Minchanka [31]
3 years ago
12

Find the domain and the range of the relation shown in the given graph. Also, determine whether the relation is a function.

Mathematics
1 answer:
Ivahew [28]3 years ago
7 0

Answer:

yes, it is a function

D: {-4, -3, 0, 4}

R: {2, 4}

Step-by-step explanation:

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A speed walker covered 4 1/2 mi in 3/4 hour. How far will he walk in 3/4 hour if he walks?
Nezavi [6.7K]

Given:

Consider the complete question is "A speed walker covered 4\dfrac{1}{4} mi in \dfrac{3}{4} hour. How far will he walk in 3/4 hours if he walks twice as fast?"

A speed walker covered 4\dfrac{1}{4} mi in \dfrac{3}{4} hour.

To find:

Distance covered by him if in 3/4 hour if he walks twice as fast.

Solution:

We have,

Distance=4\dfrac{1}{2}=\dfrac{9}{2}

It means a speed walker covered \dfrac{9}{2} mi in \dfrac{3}{4} hour.

If the speed is twice then he can cover double distance is same time.

Distance covered by him if in 3/4 hour if he walks twice as fast is

2\times \dfrac{9}{2}=9

Therefore, distance covered by him is 9 mi.

7 0
3 years ago
You are trying to estimate the average amount a family spends on food during a year. In the past the standard deviation of the a
svetoff [14.1K]

Answer:

n=(\frac{2.58(1000)}{50})^2 =2662.56 \approx 2663

So the answer for this case would be n=2663 rounded up to the nearest integer

Step-by-step explanation:

We have the following info:

ME = 50 margin of error desired

\sigma = 1000 the standard deviation for this case

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =50 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance is \alpha=0.01. And for this case would be z_{\alpha/2}=2.58, replacing into formula (b) we got:

n=(\frac{2.58(1000)}{50})^2 =2662.56 \approx 2663

So the answer for this case would be n=2663 rounded up to the nearest integer

5 0
3 years ago
Simplest form of 4500:80000 and 8100:144000​
a_sh-v [17]

9514 1404 393

Answer:

  • 9/160
  • 9/160

Step-by-step explanation:

Divide each number in the ratio by their greatest common divisor.

  4500 : 80000 = (4500/500) : (80000/500) = 9 : 160

  8100 : 144000 = (8100/900) : (144000/900) = 9 : 160

3 0
3 years ago
00:00
vlada-n [284]

Volume of the cylinder is 480 cm³ (rounded off to the nearest tenth)

Step-by-step explanation:

  • Step 1: Find volume of the cylinder when radius = 4 cm and height = 9.5 cm

Volume = πr²h = 3.14 × 4² × 9.5

             = 3.14 × 16 × 9.5 = 477.28 cm³ ≈ 480 cm³

3 0
3 years ago
Ben has agreed to play fewer video games and spend more time studying. He has agreed to play less than 10 hours of video games e
patriot [66]

Answer:yes

Step-by-step explaination:egg

4 0
3 years ago
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