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Rina8888 [55]
3 years ago
8

A weather station on the top of a mountain reports that the temperature is currently 0 ∘ C and has been falling at a constant ra

te of 3 ∘ C per hour. If it continues to fall at this rate, find each indicated temperature.
What will the temperature be in 2 hours?

What will the temperature be in 5 hours?

What will the temperature be in half an hour?

What was the temperature 1 hour ago?

What was the temperature 3 hours ago?


What was the temperature 4.5 hours ago?
Mathematics
1 answer:
LuckyWell [14K]3 years ago
8 0

Answer:

After 2 hours: -6°C.

After 5 hours: -15°C.

After \frac{1}{2} hours: -1.5°C

1 hour ago: 3°C.

3 hours ago: 9°C.

4.5 hours ago: 13.5°C.

To find these values, you simply need to multiply the hours elapsed by 3°C. Subtract from 0°C for future temperatures, and ADD to 0°C for the past.

Let's say you are solving for the temperature in 5 hours. All you need to do is:

3°C× 5= 15°C. 0°C-15°C= -15°C

For the temperature 3 hours AGO, what you will need to do instead is:

3°C×3= 9°C. 0°C+ 9°C= 9°C.

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Answer:

The volume of the cylinder is 367.6 M^3

Step-by-step explanation:

Mathematically, we have the volume of a cylinder calculated as follows;

V = pi * r^2 * h

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So, we have the volume as;

V = 22/7 * 3^2 * 13 = 367.6 M^3

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3 years ago
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Vitek1552 [10]

Answer:

Image 1

Step-by-step explanation:

To answer this question, we need to know how to use a box plot.

I've attached an image that demonstrates this well and can teach you what each part of the box plot means.

Specifically, the 2 farthest dots at the end are the minimum and maximum. The two sides where the box starts are the lower and upper quartiles. Finally, the line in the middle of the box is the median.

With this, we can analyze each box plot and determine which one is correct.

<em><u>Box Plot 1: </u></em><em>Everything is plotted correctly- Maximum and minimum plotted correctly, median plotted correctly, upper and lower quartile plotted correctly.</em>

<u>Box Plot 2:</u> Everything plotted correctly EXCEPT maximum of 48 is represented at 46.

<u>Box Plot 3:</u> Everything plotted correctly EXCEPT the upper quartile of 45 is at 39.

<u>Box Plot 4:</u> Upper quartile represented at 39 and maximum represented at 46 are both incorrect.

4 0
2 years ago
Two accounts earn simple interest. The balance y (in dollars) of Account A after x years can be modeled by y=10x 500. Account B
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In an installment loan, a lender loans a borrower a principal amount P, on which the borrower will pay a yearly interest rate of i (as a fraction, e.g. a rate of 6% would correspond to i=0.06) for n years. The borrower pays a fixed amount M to the lender q times per year. At the end of the n years, the last payment by the borrower pays off the loan.

After k payments, the amount A still owed is

<span>A = P(1+[i/q])k - Mq([1+(i/q)]k-1)/i, = (P-Mq/i)(1+[i/q])k + Mq/i. </span>The amount of the fixed payment is determined by<span>M = Pi/[q(1-[1+(i/q)]-nq)]. </span>The amount of principal that can be paid off in n years is<span>P = M(1-[1+(i/q)]-nq)q/i. </span>The number of years needed to pay off the loan isn = -log(1-[Pi/(Mq)])/(q log[1+(i/q)]). The total amount paid by the borrower is Mnq, and the total amount of interest paid is<span>I = Mnq - P.</span>
3 0
3 years ago
The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centi
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Answer:

<em>The base is 24 cm long.</em>

Step-by-step explanation:

<u>Equations</u>

Let's call

b= base of the triangle

h=height of the triangle

The base is 9 cm longer than the height, thus:

b = h + 9

The area of the triangle is:

\displaystyle A=\frac{bh}{2}

\displaystyle A=\frac{(h+9)h}{2}

And its value is 180:

\displaystyle \frac{(h+9)h}{2}=180

Multiplying by 2:

(h+9)h=360

Operating:

h^2+9h-360=0

Factoring:

(h-15)(h+24)=0

The only valid positive solution is:

h = 15 cm

And b = h + 9 = 24

b = 24 cm

The base is 24 cm long.

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Hey!

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