1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Novosadov [1.4K]
3 years ago
10

A ski resort has 18 inches of snow on the ground. The snow is falling at a rate of 4 inches per hour. which type of functions be

st model this situation?​
Mathematics
2 answers:
Alex_Xolod [135]3 years ago
6 0

Answer:

Linear decreasing function best model this situation and the required function is

f(x)=4x+18

Step-by-step explanation:

It is given that a ski resort has 18 inches of snow on the ground. The snow is falling at a rate of 4 inches per hour.

If a function has constant rate of change, then the it is a linear function.

It the given case the rate of change is constant so linear function best model this situation.

The slope intercept form of linear function is

f(x)=mx+b           ... (1)

where, m is slope and b is y-intercept or initial value.

Ski resort has 18 inches of snow on the ground it means initial value is 18.

The snow is falling at a rate of 4 inches per hour. So, m=4.

Substitute m=4 and b=18 in equation (1).

f(x)=4x+18

Therefore the required function is f(x)=4x+18.

faust18 [17]3 years ago
4 0

Answer:

Linear Function

y=4x+18

Step-by-step explanation:

Let

x----> the time in hours

y----> the total inches of snow on the ground

we know that

The function that best model this situation is the linear function

so

y=mx+b

In this problem

m=4\frac{in}{h}

b=18\ in ----> the y-intercept

substitute

y=4x+18

You might be interested in
The measures of ∠1, ∠2, and ∠3 are 40%, 12.5%, and 25% of the sum of the angle measures of the quadrilateral. Find the value of
sweet [91]

The value of x is 81

Step-by-step explanation:

The sum of the interior angles of any quadrilateral is 360°

  • The measure of ∠1 is 40% of the sum of the angle measures of the quadrilateral
  • The measure of ∠2 is 12.5% of the sum of the angle measures of the quadrilateral
  • The measure of ∠3 is 25% of the sum of the angle measures of the quadrilateral
  • We need to find the value of x

∵ The figure have 4 sides

∴ The figure is a quadrilateral

∵ The sum of the measures of the interior angles of a

    quadrilateral is 360°

- Add the four angles and equate the sum by 360

∴ m∠1 + m∠2 + m∠3 + x = 360

∵ m∠1 = 40% of the sum of the angle measures of the quadrilateral

∴ m∠1 = 40% × 360 = \frac{40}{100} × 360 = 144°

∵ m∠2 = 12.5% of the sum of the angle measures of the quadrilateral

∴ m∠2 = 12.5% × 360 = \frac{12.5}{100} × 360 = 45°

∵ m∠3 = 25% of the sum of the angle measures of the quadrilateral

∴ m∠3 = 25% × 360 = \frac{25}{100} × 360 = 90°

- Substitute these values in the equation above

∴ 144 + 45 + 90 + x = 360

- Add the like terms in the left hand side

∴ 279 + x = 360

- Subtract 279 from both sides

∴ x = 81°

The value of x is 81

Learn more:

You can learn more about the polygons in brainly.com/question/6281564

#LearnwithBrainly

5 0
3 years ago
4.48 Same observation, difference sample size: Suppose you conduct a hypothesis test based on a sample where the sample size is
Lemur [1.5K]

Answer:

P-value is lesser in the case when n = 500.

Step-by-step explanation:

The formula for z-test statistic can be written as

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } } =\frac{(x-\mu)\sqrt{n}}{\sigma}

here, μ = mean

σ= standard deviation, n= sample size, x= variable.

From the relation we can clearly observe that n is directly proportional to test statistic. Thus, as the value of n increases the corresponding test statistic value also increases.

We can also observe that as the test statistic's numerical value increases it is more likely to go into rejection region or in other words its P-value decreases.

Now, for  first case when our n is 50 we will have a relatively low chance of accurately representing the population compared to the case when n= 500. Therefore,  the P-value will be lesser in the case when n = 500.

6 0
2 years ago
Find the least common denominator (LCD)11/6 and 4/9.
viva [34]

Answer: 18

Step-by-step explanation:

11/6 * 3/3 = 33/18

4/9 * 2/2 = 8/18

Hope this helps! Please give brainliest :)

5 0
2 years ago
...............................
antoniya [11.8K]

Answer:

<h2>2 \sqrt{10}</h2>

Option C is the correct option.

Step-by-step explanation:

√ 8 • √ 5

Calculate the product

=  \sqrt{40}

Simplify the radical expression

=  \sqrt{2 \times 2 \times 10}

= 2 \sqrt{10}

Hope this helps...

Best regards!!

4 0
3 years ago
How many different 6-letter arrangements are possible using the letters in ALTUVE?
marshall27 [118]

The answer is 32 because there are 5 in the actual one

6 0
3 years ago
Other questions:
  • Lesson Check (4.NF.30) 1. Reggie is making a double-layer cake. The recipe for the first layer calls for 2. Kat 21 ups of sugar.
    12·1 answer
  • For 7 years, Sheri deposits $3350 at the end of each year into an account that earns 19.7% per year compounded annually. Determi
    12·1 answer
  • X=-4y<br> 3x+2y=20 <br> Substitution
    8·2 answers
  • A 6-ft tall football player casts a 16-in. shadow. at the same time, the stadium bleachers cast a 6-ft shadow. how tall are the
    13·1 answer
  • Can someone answer this please?
    7·1 answer
  • Find the area of the shape shown below <br> 4<br> 2<br> 6<br> 2<br> 2<br> 2
    8·1 answer
  • Ashley's cell phone costs $5 per month plus 10 cents per minute. Her friend's costs $3 per month plus 15 cents per minute. For w
    12·1 answer
  • Please help !!!! The leg of a right triangle is 2 units and the hypotenuse is 5 units. What is the length, in units, of the othe
    12·1 answer
  • Sixty-eight students, out of 100 surveyed, chose pizza as their favorite lunch item. If the school has 1250 students, how many s
    13·1 answer
  • How many kilograms are there in 8 pounds? Hint: 1 lb ≈ 0.454 kg Round your answer to the nearest tenth.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!