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HACTEHA [7]
3 years ago
12

As a certain engine's rotation speed increases, its temperature increases at a constant rate. The table compares the engine's ro

tation speed (in cycles per second) and its temperature (in degrees Celsius).

Mathematics
1 answer:
Bumek [7]3 years ago
3 0

Hey there! :)

Answer:

15° Celsius.

Step-by-step explanation:

Begin by deriving an equation to represent the values in the table. Use the slope formula:

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

Plug in values from the table into the formula:

m  = \frac{27.0 - 22.2}{15-9}

Simplify:

m  = \frac{4.8}{6}

Reduces to:

m = 0.8. This is the slope of the equation.

Use a point from the table and plug it into the equation y = mx + b, along with the slope to calculate the y-intercept:

27 = 0.8(15) + b

27 = 12 + b

27 - 12 = b

b = 15. This represents the value when x = 0, therefore:

The engine's temperature at rest is 15° Celsius.

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Step-by-step explanation:

7 0
3 years ago
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ms swanson asked question how does knowing the fact 6 times 5 help us find 60 times 500 mario answerd i know 6 times 5 is 30 now
azamat

Answer: See explanation

Step-by-step explanation:

Maria is incorrect as she didn't count the number of zeros properly. After knowing that 6 × 5 = 30, the question is 60×500 which means there are 3 zeros that should be added to the 30 that she got, this will have given her a value of 30,000 which is correct. She write 3000 which is 3 under thousands rather than 30,000 which is 3 under tens of thousands.

3 0
3 years ago
What if f(x)=(1/7)(7x), what is f(3)
ExtremeBDS [4]

Answer:

  3

Step-by-step explanation:

f(x) = (1/7)(7x) can be simplified to ...

f(x) = x

Then for x=3, ...

  f(3) = 3

8 0
3 years ago
carol can complete her neighborhood jog in 10 minutes. It takes 30 minutes to cover the same distance when she walks. If her jog
Travka [436]

Answer:

6mph

Step-by-step explanation:

In this question, we are asked to calculate the speed at which Carol jogs, given that she has a particular speed when she jogs greater than when she walks.

Firstly, we should understand that she is taking the same distance, whether she jogs or walks.

Now, let’s say her jogging rate is x mph, this means that her walking rate would be (x - 4)mph. This is because her jogging rate is 4mph faster than her walking rate.

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4 years ago
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Step-by-step explanation:

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