What is the domain of g?

Answer:

r = 100 km/hr is the average speed of the car.

Step-by-step explanation:

The formula which relates distance d, time t, and speed or rate of travel r is:

d = rt.

We're given that the distance traveled d = 50 km and the time t traveled = 30 minutes = 1/2 hr. Substituting this given information into the distance-rate-time formula for d and t to find r, we get:

50 km = r(1/2 hr)

Now, dividing both sides by 1/2 hr, we have:

50 km/(1/2 hr) = [r(1/2 hr)]/(1/2 hr)

50 km/(1/2 hr) = r[(1/2 hr)/(1/2 hr)]

[50 km/(1/2)] km/hr = r[(1/2 hr)/(1/2 hr)]

50(2/1) km/hr = r[1]

100 km/hr = r[1]

r = 100 km/hr is the average speed of the car.

Answer:

Maybe B?

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Answer:

$2,800

Step-by-step explanation:

The formula for simple interest is I = PRT, where I is the interest (earned or paid), P is the principal amount invested/borrowed, R is the rate in decimal form, and T is the time in years.

I = (2000)(0.05)(8)

I = $800

Then we add that to the principal to get $2,800

---------------------------------

Joey made a deposit into an account that earns 6% simple interest. After 3 years, Joey earned $400. How much was Joey's initial deposit?

I = PRT

400 = P(0.06)(3)

400 = 0.18P

P = $2,222. 22

----------------------------------------

Peter is calculating the interest earned on a deposit of $275 in an account that earns 8% simple interest after 12 years. What is the ??? guessing interest earned?

I = PRT

I = (275)(0.08)(12)

I = $264

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Neil's grandmother has left him a small inheritance of $6,000. Neil would like to invest it at a rate of 5% interest. What is the simple???

I = PRT

I = (6000)(0.05)(T)

Please let me know if you have questions, or want to fill in the missing information on questions 3 & 4.

Answer:

D

Step-by-step explanation:

Clockwise would mean a rotation to the right, and since the triangle is already plotted, just use the little picture turning icon( in the top right corner of the photo of the problem) to turn, and look at the triangle in the original graph to see how it moved.

Then click the button three more time until you get the photo right-side-up, and choose which option is the best answer.

Answer: At midnight, the temperature was 43.7 degrees above 0, and in the morning, it was 3.6 degrees below 0

HOPE THIS HELPS

Answer:

not a function

Step-by-step explanation:

using vertical line test

Answer:

the time taken for the ball to hit the ground is 9.4s

Answer:

use the app photomath its free. and shows you all the steps

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

-15x=45

x=-45/15

x=-3

Answer:

okay x=-3

Step-by-step explanation:

-15x=45

-15/-15=45/15

x=-3

Answer:

See attachment for image

Step-by-step explanation:

Given

[tex]Width = 9[/tex]

[tex]Perimeter = 40[/tex]

Required

The image that illustrates the patio

The question is incomplete as the possible images are not given. So, I will attach an image that illustrates the scenario.

But first, the length of the patio must be calculated using perimeter formula

[tex]Perimeter = 2 *(Length + Width)[/tex]

[tex]40 = 2 *(Length + 9)[/tex]

Divide both sides by 2

[tex]20 = Length + 9[/tex]

Solve for Length

[tex]Length = 20 - 9[/tex]

[tex]Length = 11[/tex]

This implies that the dimension of the patio is 11 units by 9 units (See attachment)

Answer:

18, 6, 108

Step-by-step explanation:

The figure below is a right rectangular prism with rectangle ABCD as its base.

A rectangular prism is shown. Rectangles A B C D and W X Z Y are the bases. The length of A D is 9 centimeters and the length of C D is 2 centimeters. The height of A W is 6 centimeters.

What is the area of the base of the rectangular prism?

✔ 18

square centimeters

What is the height of the rectangular prism?

✔ 6

centimeters

What is the volume of the rectangular prism?

✔ 108

cubic centimeters

Answer:

18, 6, 108

Good Luck!

Answer:

m(arc FE) = 166°

Step-by-step explanation:

By theorem of intersecting chords and tangent of a circle,

Measure of the angle formed by a chord and tangent intersecting on the circle measure the half of the intercepted arc.

m(∠GFE) = [tex]\frac{1}{2}\text{m (arc} FE)[/tex]

83° = [tex]\frac{1}{2}\text{m (arc} FE)[/tex]

m(arc FE) = 166°

when I did this it was C for me

Answer:

choice 1: m = 6 1/2

Step-by-step explanation:

m - 2 1/2 = 4

add 2 1/2 to each side of the equation:

m - 2 1/2 + 2 1/2 = 4 + 2 1/2

m = 6 1/2

Answer:

[tex] m\overset{\Large\frown}{ABC} \: = \: 196° [/tex]

Answer:

191.159619167

Step-by-step explanation:

Answer:

3) not equivalent

4) equivalent multiply by 2

5) equivalent multiply by 2

Answer:

C- are moving close together very quickly and then very far apart suddenly

Answer:

The probability that the sample mean would be at least $39000 is of 0.8665 = 86.65%.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean $39725 and standard deviation $7320.

This means that [tex]\mu = 39725, \sigma = 7320[/tex]

Sample of 125

This means that [tex]n = 125, s = \frac{7320}{\sqrt{125}}[/tex]

The probability that the sample mean would be at least $39000 is about?

This is 1 subtracted by the pvalue of Z when X = 39000. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{39000 - 39725}{\frac{7320}{\sqrt{125}}}[/tex]

[tex]Z = -1.11[/tex]

[tex]Z = -1.11[/tex] has a pvalue of 0.1335

1 - 0.1335 = 0.8665

The probability that the sample mean would be at least $39000 is of 0.8665 = 86.65%.

Given:

Mike gets an 8% commission on the sporting goods that he sells.

One day he sold sporting goods worth 1,384.

To find:

The commission for that day.

Solution:

According to the given information,

Commission = 8% of total sales of sporting goods

One day he sold sporting goods worth 1,384. Then, the commission for that day is

[tex]\text{Commission}=\dfrac{8}{100}\times 1384[/tex]

[tex]\text{Commission}=\dfrac{11072}{100}[/tex]

[tex]\text{Commission}=110.72[/tex]

Therefore, the commission for that day is 110.72.

Answer:

2249 / 540000

Step-by-step explanation:

Jobs arrival time = 8 jobs per hour

Service takes 3 minutes on average

Frame size = 5 second

capacity of each frame = 3 jobs

Determine the transition probability matrix for number of jobs in system

First step : find probability of job arrival

= 8 / ( 5 * 3600)

=  8 / 18000 =  1 / 2250

next : determine probability of service

= ( 3 * 5 )/ 3600

= 15 / 3600 = 1/240

Finally the transition probability matrix ( p10 )= { 1, 0}

=  probability of service(1 - probability of arrival)

 = 1/ 240 * ( 1 - 1 / 2250 )

= 1 / 240 * ( 2249 / 2250 )

= 2249 / 540000

Answer:

Volume of beach ball = 4176.2 inch³ (Approx.)

Step-by-step explanation:

Given:

Diameter of beach ball = 20 inches

Find:

Volume of beach ball

Computation:

Radius of beach ball = Diameter / 2

Radius of beach ball = 20 / 2

Radius of beach ball = 10 inches

We know that beach ball is a sphere shape

So,

Volume of beach ball = Volume of sphere

Volume of sphere = [4/3][π][r³]

Volume of beach ball = [4/3][π][r³]

Volume of beach ball = [4/3][22/7][10³]

Volume of beach ball = [1.33][3.14][1,000]

Volume of beach ball = 4176.2 inch³ (Approx.)

Answer:

30 foot by 20 foot

Step-by-step explanation:

1 inch = 10 inch

2 foot = d foot

Cross products: 1xd=2x10

d=20foot

1 inch = 15 inch

2 foot = d foot

Cross products: 1xd=2x15

d=30foot

Answer/Step-by-step explanation:

The triangle given is a right triangle

Reference angle = angle E

Thus:

The side that is opposite to angle E is side DF = e

The side that is adjacent to angle E is side EF = d

The hypotenuse side is the longest side that is opposite go the right angle of the triangle = DE = f

Answer:

n=-13/4 because you subtract 3/4 from -5/2

Step-by-step explanation:

Answer:

its a

Step-by-step explanation:

did it on my test edge