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3 years ago

A car travels at an average speed of 90 km per hour.

Mathematics

1 answer:

lys-0071 [83]3 years ago

8 0

9514 1404 393

Answer:

270 km

Step-by-step explanation:

Distance is related to speed and time by ...

distance = speed · time

distance = (90 km/h)(3 h) = 270 km

The car will travel 270 km in 3 hours.

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HELP ASAP ILL GIVE BRAINLIST!!What is a statistical question and what is it’s purpose? Be sure to include the 3 characteristics

Alik [6]

Answer:

When you ask a statistical question, you should expect to get a wide variety of answers.

Step-by-step explanation:

7 0

3 years ago

The population of a certain town was 10,000 in 1990. The rate of change of the population, measured in people per year, is model

Katena32 [7]

The question is incomplete. The complete question is :

The population of a certain town was 10,000 in 1990. The rate of change of a population, measured in hundreds of people per year, is modeled by P prime of t equals two-hundred times e to the 0.02t power, where t is measured in years since 1990. Discuss the meaning of the integral from zero to twenty of P prime of t, d t. Calculate the change in population between 1995 and 2000. Do we have enough information to calculate the population in 2020? If so, what is the population in 2020?

Solution :

According to the question,

The rate of change of population is given as :

$\frac{dP(t)}{dt}=200e^{0.02t}$ in 1990.

Now integrating,

$\int_0^{20}\frac{dP(t)}{dt}dt=\int_0^{20}200e^{0.02t} \ dt$

$=\frac{200}{0.02}\left[e^{0.02(20)}-1\right]$

$=10,000[e^{0.4}-1]$

$=10,000[0.49]$

=4900

$\frac{dP(t)}{dt}=200e^{0.02t}$

$\int1.dP(t)=200e^{0.02t}dt$

$P=\frac{200}{0.02}e^{0.02t}$

$P=10,000e^{0.02t}$

$P=P_0e^{kt}$

This is initial population.

k is change in population.

So in 1995,

$P=P_0e^{kt}$

$=10,000e^{0.02(5)}$

$=11051$

In 2000,

$P=10,000e^{0.02(10)}$

$=12,214$

Therefore, the change in the population between 1995 and 2000 = 1,163.

8 0

3 years ago

After your instructor added 4 points to each student's test score, your score is 92.

Alexandra [31]

88

92-4=88

hope this helps

7 0

3 years ago

Caroline's car used 16 gallons to travel 544 miles. How far can she travel on 9 gallons?<br>

kicyunya [14]

Answer:

306 gallons

Step-by-step explanation:

Caroline traveled 544 miles on 16 gallons. We do some simple math and divide 544/16 and receive 34 miles/gallon. All we do now is multiply 34 * 9 and we receive 306 gallons.

8 0

3 years ago

Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (13, 84) lies

erma4kov [3.2K]

Answer:

If P = (x,y) then formulas for each trigonometric functions are:

sin x = y/r

cos x = x/r

tan x = y/x

cot x = x/y

sec x = r/x

cosec x = r/y

where r = √(x²+y²).

First find r:

r = √(13²+84²)=√(169+7056)=√7225=85.

Then just substitute:

sin x = 84/85

cos x = 13/85

tan x = 84/13

cot x = 13/84

sec x = 85/13

cosec x = 85/84

3 0

3 years ago