A restaurant sells tea for $1.50 plus 0.50 per refill. The restaurant brews enough tea for 4 refills per customer . The linear function that represents the total cost of rtea refills is C(r) = 0.5r + 1.5 . Describe an appropriate domain of this function . Make sure to identify the set of numbers appropriate to the domain

Answers

Answer 1

Answer:

4.50Answer:

Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

1) What is the mathematical relationship between a^n and a^-n ? Explain

2) A positive exponent shows repeated multiplication . What repeated operation does a negative exponent show ?

I really need your help ! Thanks

Answers

A negative exponent (-n) just means that your base (a) is on the wrong side of the fraction bar meaning you would need to flip it to the other side. For example; if you have to write 2x^-3 using only positive exponents. you have 2x^-3/1 so you would have to move the negative exponent to the bottom which gives you 2/1x^3.

make sense?

PLEASE HELP QUICK I WILL GIVE 67 POINTS!!!!! PLUS BRAINLIEST
SOLVE ALL OF IT :)

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Step-by-step explanation:

Provided here is a photo.

What is 7% tax on a $9.79 purchase

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all u do is put 9.79 multiplied by .07 and it gives you 0.6853 so its .68 or .69 cents if u round

all you do is to put 9.79 multiplied by .07 and it gives you 0.6853 so its .68 or .69 cents if u round the decimal

Need help doing this question, please show steps as well so I can understand it.

Answers

Answer: 6.95

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Explanation:

The reference angle is angle S = 41 degrees. The side opposite that (RT) is unknown and what we want to find. The adjacent side to the reference angle is TS which is 8 units long.

RT = x

TS = 8

The ratio of the opposite and adjacent side is equal to the tangent of the reference angle, so,

tan(angle) = opposite/adjacent

tan(41) = x/8

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We are given the value of tan(41) to be approximately 0.869, which means we will replace "tan(41)" with this decimal value and then isolate x by multiplying both sides by 8. This happens in the section below.

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tan(41) = x/8

0.869 = x/8

8*0.869 = 8*x/8

6.952 = x

x = 6.952

x = 6.95

RT = 6.95

Please prove or explain how to get AC, CM, & CP...AC = 15
CM = 20
CP = 12

Answers

Explanation:

All of the right triangles are similar by AA similarity, so corresponding side lengths are proportional. The ratio of the long leg to the short leg is the same for the two smaller triangles, for example:

CP/AP = MP/CP

CP/9 = 16/CP . . . . . fill in the given numbers

CP² = 9·16 . . . . . . . multiply by 9·CP

CP = 3·4 = 12 . . . . . take the square root

Now, you can use the Pythagorean theorem to find AC and/or CM.

AC = √(9² +12²) = √225 = 15

CM = √(12² +16²) = √400 = 20

In summary, CP = 12, AC = 15, CM = 20.

_____

Once you have CM, you can see these are 3-4-5 right triangles, so you can determine the other lengths by using these side ratios.

3:4:5 = 9:12:15 = 12:16:20

_____

The altitude CP is called the "geometric mean" of AP and MP. It is the square root of their product. This is true for any right triangle, not just one with sides in the ratio 3:4:5. If you know this, you can write down your answers almost immediately. Above, we had to derive this fact using similarity.

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