During a winter storm, the temperature on the top of a
mountain changed an average of -2.5°C every hour
for 12 hours. At noon, the temperature was -5°C.
During the same time period, the temperature at the
bottom of the mountain changed at the rate of
temperature change on the top of the mountain.

What is the hourly rate of temperature change at the bottom of the mountain ?

Answers

Answer 1

According to the rate of change, it is found that the hourly rate of temperature change at the bottom of the mountain was of -2.5 ºC per hour.

What is the average rate of change?

The average rate of change of a function is given by the change in the output divided by the change in the input.

In this problem, it is stated that at the top of the mountain, the average rate of change is of -2.5 ºC per hour, and at the bottom of the mountain the rate is the same, hence the hourly rate of temperature change at the bottom of the mountain was of -2.5 ºC per hour.

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Related Questions

Bret and Kamala each begin a proof of the law of sines. Their work is shown.



The proof was correctly completed by



The next step in the proof is to


and write an expression for

Answers

The proof of the law of sines was completed correctly by Kamala and the final step is to write the expression a/sinA = c/sinC.

What us the law of sines?

The law of sines simply means the ratio between the sine of an angle and the side that's opposite it.

From the complete question, it can be deduced that the proof was correctly completed by Kamala. In her case, she correctly wrote that asinC = csinA and the next expression for the conclusion is that a/sinA = c/sinC.

Learn more about sine on:

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Answer:

Step-by-step explanation:

Mathematical problem no.3 plsss help

Answers

Answer:

100000 cm³

Step-by-step explanation:

First, 20 × 10 × 5

=1000 cm³

1000 cm³ × 100

final answer is 100000 cm³

i hope you can wrap your mind around it

enjoy your next 24 hours<3

At a conference, Rosa is handing out candy to people who visit her booth. The total
amount of candy she hands out is determined by the number of visitors.
v = the number of visitors to Rosa's booth
()) c = the total amount of candy Rosa hands out
)) Which of the variables is independent and which is dependent?
c is the independent variable and v is the dependent
variable
v is the independent variable and c is the dependent
variable
Submit

Answers

v is independent and c is dependent. More visitors means more candy to hand out. But having more candy does not mean more visitors. hope this helps :))))


-zesty

Match each of the terms listed on the left with exactly one best description from the column on the right geometry

Answers

what do we have in the next year for a pet sitter to take a look on this is one thing we would love if there are a lot to offer you can make a difference for the world to make your business easier for 170m to make your business a perfect life to keep stealing

What is the 2nd term of the linear sequence below? − 5 , − 7 , − 9 , − 11 , − 13

Answers

Answer:

-15

Step-by-step explanation:

it is subtracting by 2

A person bought some Australian dollar of NRs 1,50,000 according to the exchange rate. Australian dollar 1 = NRs 77.02. After five days, in compare to Australian dollar the Nepali currency is devaluated by 5%. What is the profit or loss of that person when he exchanged the dollors he had into Nepali rupees again in that day? Find it.​

Answers

Answer:

  5.26% profit (NRs 7,894.24)

Step-by-step explanation:

The exchange of 1,50,000 NRs to A$ will give ...

  A$ 1/(NRs 77.02) = x /1,50,000

  x = A$ 1,50,000/77.02 = A$ 1947.54 . . . . . (rounded down)

If the Nepali rupees are devalued by 5%, then what did buy A$ 1 will now buy only A$ 0.95. Then the exchange back to NRs will give ...

  (NRs 77.02)/(A$ 0.95) = x/(A$ 1947.54)

  x = NRs (1947.54)(77.02/0.95) = NRs 1,57,894.24

The effective profit is the difference from the amount initially exchanged, NRs 7,894.24, or ...

  (1,57,984.24/1,50,000 -1) × 100% ≈ 5.26%

__

Additional comment

Except for the loss in the exchange due to rounding down, the profit would be 1/0.95 -1 = 5.2632%. Instead, it is 5.2628%. This is why investors move their money to investments that retain their value when the local currency is losing its value.

After all, tryouts are completed, the school will be hosting a party for all the new athletes. At the party, hot dogs and hamburgers will be provided to all athletes and their guests, if they choose to bring a guest. The ratio of hot dogs purchased to a number of guests is 1:0.8. Determine how many hot dogs you would need if 150 people attend the party.

Answers

Answer:  120

Explanation:

h = number of hot dogs

The ratio of people to hot dogs is 1:0.8

If 150 people show up to the party, then

(number of people)/(number of hot dogs) = 1/0.8

150/h = 1/0.8

150*0.8 = h*1 ... cross multiply

120 = h

h = 120

You'll need 120 hot dogs.

U guys know what im gonna say

Answers

Answer:

y = 4x - 3 is the equation for the blue line.

Step-by-step explanation:

the y intercept is -3, if you count the rise over run from there, you get 4/1 which you say 4.

sorry I counted wrong at first but it should be right now

Hope this helps! :)

There are 3 baskets of apples. Each basket has 84 apples. The apples will be divided into 9 equal groups. How many apples will be in each group?

Answers

Answer:

9

Step-by-step explanation:

9x2=18 2groups

18x2=36. 4groups

36x2=72. 8groups

84-72=12. 9groups

The laptop screen turns off when the angle between the keyboard and the screen is less than 20°. How many more degrees can the laptop screen close before the screen turns off?

The laptop screen can close ?° more before the screen turns off

Answers

Answer:

40⁰

Step-by-step explanation:

z+40+z-20=180

2z+20=180

2z=160

z=80

z-20=80-20=60

the laptop screen of in 60-20=40⁰

The laptop screen turns off at 40°.

What is a linear pair?

Two neighboring angles that add up to 180 degrees are referred to as a linear pair, as are two angles that, when added together, create a line or a straight angle.

Given, the angles (z + 40)° and (z - 20)°.

The angles (z + 40)° and (z - 20)° form a linear pair, and the sum of the linear pair is 180°, therefore,

(z + 40)° + (z - 20)° = 180°

2z + 20 = 180

2z = 160

z = 80

The value of (z- 20)° is:

(z- 20)°

= (80-20)°

= 60°

The laptop screen turns off at

60° - 20°

= 40 °

Hence, the laptop screen turns off at 40°.

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What is the value of x?

Enter your answer in the box.

x =

Answers

Answer:

Step-by-step explanation:

2x+2=3x-52

2+52=3x-2x

54=x

x= 54
2x+2=3x-52
Remember vertical angles are congruent so set them equal to each other.

Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 33
cards, which was 5% of the cards sold for Mother's Day. How many cards were sold
for Mother's Day?

Answers

Answer:

660

Step-by-step explanation:

33/0.05

what is the slop of the line A. 2 B. -1/2 c.1/2 D.- 2
Somebody pls help me

Answers

Answer:

its 1/5

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

trust me its the answer or

Please help I need it

Answers

Answer:

350mlliliters = 0.35liters

9liters = 9000milliliters

.the question is in the picture will mark brainiest ​

Answers

Answer:

See below

Step-by-step explanation:

5^3 * 5^6 = 5^(3+6) = 5^9 <-- Add exponents when multiplying

8^7 / 8^2 = 8^(7-2) = 8^5 <-- Subtract exponents when dividing

9^7 / 9^11 = 9^(7-11) = 9^(-4) <-- Subtract exponents when dividing

(4^5)^3 = 4^(5*3) = 4^15 <-- Multiply exponents when raising a base with an exponent to an exponent

Angle 1 and Angle 2 are adjacent supplementary angles. Angle2 is verticle to a 75° angle. What are the measures of angles 1 and 2?

Answers

Answer:

Step-by-step explanation:

Angle 2 is also 75 deg since vertical angles are congruent

This means angle 1 = 180 - 75 = 105 degrees

, Help me please please please

Answers

Answer:

[tex]\frac{63}{3} = 21[/tex]

So in every 1min he eat 21 hotdogs

in 3min he can eat 63 hotdogs

in 4min he can eat 84

because 21 + 21 + 21 + 21 = 84

The ratio of the number of circles to the number of triangles in simplest form is
.

The number of circles that need to be added to make the ratio 1 : 1 is
.

Answers

Answer: The simplest form would 1 to 1, 1/1 or 1 to 1

Step-by-step explanation:if you are smart you would know this

Consider the expression 3n^4-5n^3+9. What is the coefficient of n^3

Answers

This is the graph hope this helps friend :)

there are between 24-40 students in a class
the ratio of boys to girls are 4:7
how many students are in the class?

Answers

Answer:

33

Step-by-step explanation:

the ratio "parts" (4&7) total to 11 so the number of students must be a multiple of 11. 33 is the only multiple of 11 that falls between 24 and 40.

HOPE THIS HELPS!!!

Graph the function


g (x) = - x^2 - 6x - 6

Answers

Answer:

graph below

Step-by-step explanation:

Can someone please help me? :(

Answers

The answer is c

The tip is dependent to the amount of customers she serves.

The more customers she serves, the more tips she makes. So, the amount of tips she make is depended to how many customers she serves.

Hope that helps!

What is 3 1/4=1/2+w what is w

Answers

Answer:

2 3/4.

Step-by-step explanation:

Eliminate 1/2 from the side with w.

Subtract 1/2 from both sides:

[tex]3\frac{1}{4} -\frac{1}{2} =\frac{1}{2} -\frac{1}{2} +w[/tex]

[tex]2\frac{3}{4} = w[/tex]

Jerry solved the system of equations.

x minus 3 y = 1 7 x + 2 y = 7.

As the first step, he decided to solve for y in the second equation because it had the smallest number as a coefficient. Max told him that there was a more efficient way. What reason can Max give for his statement?

The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.
The variable x in the second equation has a coefficient of 7 so it will be easy to divide 7 by 7.
The variable y in the second equation has a coefficient of 2 so it will be easy to divide the entire equation by 2.
The variable x in the second equation has the largest coefficient. When dividing by 7, the solution will be a smaller number.

Answers

Answer:

c

Step-by-step explanation:

The variable y in the second equation has a coefficient of 2 so it will be easy to divide the entire equation by 2.

Unknown Angle Problems (with Algebra)

Answers

2x = 2 x 25?

50 + ? = 150

50 + 100 = 150

x = 50?

2x + 50 = 150

2 x 50 + 50 = 150

100 + 50 = 150

The answer is x = 50.

The measure of x is 50.

What are Vertical Angles?

Vertical angles are generated by the junction of two straight lines that are not contiguous. Vertical angles are positioned across from each other in the corners of the "X" created by two straight lines. Because they are opposite each other, they are also known as vertically opposite angles.

Using Vertical Angle property as

(50+ 2x) = 150

So, subtract 50 from side we get

50 + 2x - 50= 150 - 50

2x = 100

Now, divide both side by 2 we get

2x/2 = 100 / 2

x = 50

Learn more about Vertical angle here:

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someone smart help please and get the answer right offering 100 points

Answers

[tex]\tt \dfrac{2.7}{2.5}=\dfrac{6.2}{AC}\\\\AC=5.740[/tex]

21 and 22 are complementary
angles. The measure of Z1 is (2x + 7)º.
The measure of Z2 is (3x + 58)°. What
is the value of x?

Answers

(2x+7)+(3x+58)=90
5x+65=90
5x=25
x=5

Is she correct please explain why or why not?​

Answers

Answer:

correct

as if 0 , =>0+5<6

if 1 , =>1+5=6

< or = is acceptable

How can you rewrite (z ≤ −1. 75) in order to find the answer?.

Answers

Answer:

The answer is the picture I inserted the way to rewrite it is set-builder notation.  Hope this helps :)

Step-by-step explanation:

1- write in set-builder notation

Fiona’s mom bought 36 apples for Fiona and her 9 friends to eat. They each ate the same number of apples. Each of them only ate whole apples. How many apples were left over from the 36 her mom bought?

Answers

Answer:

6 Apples

Step-by-step explanation:

Fiona and her nine friends would make ten friends in total

They each ate whole apples and the same amount

So, 36÷10 would equal 3 apples eaten each with a remainder of 6 making 6 apples leftover

Hope this Helps!

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