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3 years ago

PLEASE HELP ME OUT AND GIVE ME AN EXPLANATION AS WELL!!!!

Mathematics

1 answer:

Musya8 [376]3 years ago

7 0

Answer:

Hi there!

Your answer is:

h(5y) = 5y-9

Step-by-step explanation:

h(5y) means we substitute 5y for p! This completely gets rid of the p!

Hope this helps

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3 years ago

Matt is mailing a rectangular package at the post office the box's volume is 24 in.³ what are all of the possible dimensions len

Greeley [361]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Volume = 24 in³

Process

1.- Find the prime factors of 24

24 2

12 2

6 2

3 3

2.- Volume of a rectangular package

Volume = length x height x width

3.- Possible values are, combine the prime factors to find the volume

Volume = 4 x 2 x 3 or

Volume = 2 x 4 x 3

Volume = 3 x 2 x 4

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3 years ago

A recipe calls for 2Start Fraction 3 over 4 End Fraction cups of sugar. How many fourths is that? A. 3 B. 8 C. 11 D. 14

pickupchik [31]

I’m pretty sure that would be B

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3 years ago

Read 2 more answers

The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H = f(t), where t is in min

Deffense [45]

Answer:

f'(t) is negative

The unit is degC/min

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.

Step-by-step explanation:

From the question we are told we are told that

The equation for the temperature of a cup of coffee place on a counter is

$H= f(t)$

Here t is the time in minutes the coffee was put on the counter

Generally f(t)' is the derivative of f(t) at it represents the change of the temperature of the cup of coffee with respect to time

Generally for the coffee placed on the counter after a couple of minutes the temperature will decrease hence f(t)' is negative

Generally the unit of the temperature is in degrees Celsius while that of time is in minutes

So the change in temperature with time f(35)' will be in degrees Celsius/minutes (i.e degC/min)

From the question we are told that

$|f(35)'| = 1.5$

i.e the rate of change of temperature after 35 minutes is 1.5

and

$|f(35)| = 68$

i.e the temperature of the cup of coffee after 35 minutes is 67 degC

Now after another t= 30 seconds = $\frac{30}{60}= 0.5 \ minutes$ the rate of change of the temperature of the cup of coffee is

$R = |f(35)'| * t$

=> $R = 1.5 * 0.5$

=> $R = 0.75$

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.

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3 years ago

Write the equation for the line.

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