Simplify each equation,then solve

The length of your classroom is about 3.5 x 10^2 inches. If the hallway is ten times as long as the classroom, what is the lengt

tatuchka [14]

Answer:

3.5x10^3

Step-by-step explanation:

3.5x10^2 = 350

350x10 = 3500

3500 = 3.5x10^3

8 0

3 years ago

Use the fact that the world population was 2560 million in 1950 and 3040 million in 1960 to model the population of the world in

zimovet [89]

Answer:

The populaton in year 1991 will be of 5178.9 million of people

and the population in year 2020 will be of 8524.60 million of people

Step-by-step explanation:

We measure the time t in years and let t=0 in the year 1950.

We measure the population P(t) in millions of people, then P(0)=2560 and P(10) = 3040.

Since we are assuming that dp/dt=kP, this theorem gives the following.

$P(t) = P(0)e^{kt}= 2560e^{kt}$

$P(10) = 2560 e^{10k} = 3040$

$k=\frac{1}{10} ln (3040/2560) = 0.0171$

The relative growth rate is about 1.7% per year and the model is

$P(t) = 2560e^{0.017185t}$

<em>Year 1991 is equal in our formula to 41 and year 2020 is equal to 70. </em>Replacing,

$P(41) = 2560e^{0.017185(41)}=5178.89$

$P(70) = 2560e^{0.017185(70)}=8524.60$

Therefore the populaton in year 1991 will be of 5178.9 million of people and the population in year 2020 will be of 8524.60 million of people

6 0

3 years ago

Someone help work out the mean!!

melamori03 [73]

40/5= 8 is the mean..........

3 0

3 years ago

Read 2 more answers

An investigator claims, with 95 percent confidence, that the interval between 10 and 16 miles includes the mean commute distance

RideAnS [48]

Answer:

Hello the options to your question is missing below are the options

A) if sample means were obtained for a long series of samples, approximately 95 percent of all sample means would be between 10 and 16 miles

B.the unknown population mean is definitely between 10 and 16 miles

C.if these intervals were constructed for a long series of samples, approximately 95 percent would include the unknown mean commute distance for all Californians

D.the unknown population mean is between 10 and 16 miles with probability .95

Answer : if these intervals were constructed for a long series of samples, approximately 95 percent would include the unknown mean commute distance for all Californians ( c )

Step-by-step explanation:

95% confidence

interval = 10 to 16 miles

To have 95% confidence signifies that if these intervals were constructed for a long series of samples, approximately 95 percent would include the unknown mean commute distance for all Californians

confidence interval covers a range of samples/values in the interval and the higher the % of the confidence interval the more precise the interval is,

7 0

3 years ago

A man traveled 24 miles in 20 minutes and 18 miles in 15 minutes. Assume that the distance varies linearly with time. How far wi

Norma-Jean [14]

Step-by-step explanation:

First we need to get his speed:

speed = distance / time

If he travelled 24 miles in 20 mintues, his speed is 24 / 20 = 1.2 miles per minute

If he travelled 18 miles in 15 minutes, his speed is 18 / 15 = 1.2 miles per minute

Those two should give us the same answer since it says that the distance varies linear with time, which means that his speed is constant.

Then after 30 minutes he will have traveled: 1.2 x 30 = 36 miles

please mark me as brainliest

4 0

2 years ago