What is the rate of change from x = π to x = 2π?8 over pi
pi over 8
negative 8 over pi
negative pi over 8

Answers

Answer 1

Answer: We can model the function in that interval as a straight line of negative slope.
We have then that the average rate of change in that interval is given by:
r = (y2-y1) / (x2-x1)
Substituting values:
r = (- 4-4) / (2π-π)
Rewriting we have:
r = -8 / π
Answer:
the rate of change from x = π to x = 2π is:
r = -8 / π

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Anyway you can help me out?

Becky lives 5 5/8 miles from school. Steve lives 1 5/9 times as far from the school as Becky. How far does Steve live from the school?

Answers

Steve lives 1 5/9 as far as Becky so how far he lives should be 1 5/9(5 5/8) which is equal to 8.75 or 8 3/4 (I used a calculator but if you were to do this by hand it would be much easier to turn your mixed numbers into improper fractions)

The sum of 5 consecutive even numbers is 310. What is the third number in this sequence?

Answers

A simple way to solve for consecutive numbers is to divide the sum number by the number of numbers needed. So 310 ÷ 5, which equals 62. That is the middle consecutive number.

To find the other 4 numbers, since they are all even, sinply add 2 to the middle number to find one, add 2 to that to find another, subtract 2 from the middle number to fine the third, and subtract 2 from that to find the final one.

62 + 2 = 64
64 + 2 = 66
62 - 2 = 60
60 - 2 = 58

so your numbers are 58, 60, 62, 52, and 66. Together they add up to 310.

(I may have done this a non-standard way, bit it was the way that made the most sense in my head.)

Explain how to convert decimal form into fractional form

Answers

Answer:

$to \: convert \:0.2 \: to \: fraction \: \: you \n \: insert \: 1 \: from \: the \n \: decimal \: point \n \: and \: then \: zeros \: according \: to \: the \: \n number \: of \: values \: you \: have \: after \: \n the \: decimal \: point \: \n (2)/(10) = 0.2 \n ok \: convert \: 0.052 \: to \: fraction \: you \n (52)/(1000) = 0.052$

Answer:

To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.

Step-by-step explanation:

From midnight to 6:00 am, the temperature rose 1.05°C each hour. If the temperature at 6:00 am was -5.7°C, what was the temperature at midnight?

Answers

Answer:

13.2 C

Step-by-step explanation:

6am the temp is at -5.7

from 6am to 12pm is 18 hours apart

so if the temp rises at 1.05 every hour you multiply 1.05*18= 18.9

18.9-5.7=13.2

Which substance is a mixture?
salt
gasoline
aluminum
carbon dioxide

Answers

First, we must understand why the three other choices are not mixtures. Salt is a compound made from elements Sodium and Chlorine. Aluminum is an element. Carbon dioxide is also a compound composed of Carbon and Oxygen.Now, gasoline. is substance made from refined crude oils (or hydrocarbons). As a matter of fact, gasoline is an example of a homogenous mixture.Thus, amongst the choices, the mixture would be gasoline.

Final answer:

Among the given substances, gasoline is a mixture because it consists of multiple hydrocarbons and does not have a fixed composition.

Explanation:

The substance that is a mixture among the given options is gasoline. A mixture is a substance that is composed of two or more different types of substances, which are not chemically combined. Unlike pure substances, mixtures do not have a fixed composition. Gasoline is considered a mixture because it is made up of numerous hydrocarbons combined together. Conversely, substances like salt (sodium chloride), aluminum, and carbon dioxide are not mixtures, but pure substances as they have fixed composition.

Learn more about Mixtures here:

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Dana just finished paying off the $15,400 loan she took out four years ago. the loan had 6.68% interest, compounded monthly. if dana paid a total of $18,321.60, how much did she pay in service charges?