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Elden [556K]
3 years ago
12

I don't know how to do this problem:

Mathematics
1 answer:
mariarad [96]3 years ago
8 0

Answer:

3^3×3

81

3^7/3^3

Explanation:

First you should solve the expression you've got there.

(3^6×3^-4)^2

3^6= 3×3×3×3×3×3 the answer is 729

3^-4 A negative exponent means repeated division by the base. So for example 2^-4=1/(2^4)

=1/(2×2×2×2)= 1/16

3^-4= 1/(3^4)

=1/(3×3×3×3)

= 1/81 If you look up the answer in your calculator the answer that will show up will be 0.01234567901

So!

(729×0.01234567901)^2= 9^2

9^2= 81

Now you can look at the following expressions and whichever gives the answer 81 will be correct.

hope it helps!

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2)<br> A circle has a radius of 8 cm. What is its circumference?<br> 8 cm
egoroff_w [7]

Answer

16π cm ≈ 50.2655 cm

Step-by-step explanation

To find the circumference of a circle, we can use the equation C = 2πr.

C stands for the circumference while r stands for the radius. We can see that there is a proportional positive linear relationship between radius and circumference for all circles, and that to find circumference when we have a radius value, we multiply the radius value by 2π.

The value of π, also called pi, is a constant and is the ratio of a circle's circumference to its diameter (the diameter is twice the radius, hence the 2 in the equation). Note that π is a constant and applies to all circles because all circles are similar.

Since we know the value of r, or the radius, given as 8 cm in the question, we can plug this value into the equation C = 2πr from earlier.

C = 2πr (plug in 8 cm for the radius)

C = 2π * 8

C = 16π cm

Since the radius is in units of cm (centimeters), the circumference is also in units of cm (centimeters).

16π cm is the exact value of the circumference. However, if we want this circumference in decimal form, we would multiply 16 by the decimal form of π which is approximately 3.1416. Note that π actually has an infinite amount of decimals and that this 3.1416 is actually a rounded π value

C = 16π

C ≈ 16 * 3.1416

C ≈ 50.2655 cm rounded to four decimal places

6 0
3 years ago
Based on the graph, what is the constant rate of change of the cookies made per hour?
murzikaleks [220]
Find a point on the graph
I prefer whole numbers
(4,300)
So in 4 hours, you make 300 cookies
Divide cookies by hour
300/4 = 75

Solution: 75 cookies per hour
5 0
2 years ago
1. Simplify. (343)1/3
elena-s [515]

1) 343/32 or 10.71875 or 10 23/32
2)-8
3)7
8 0
3 years ago
Johnny ran at a constant rate of 5.125 miles per hour.If he ran for 2,116 hours, what was his average rate per second
kogti [31]
7,394,050 per second 
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2 years ago
Natalie buys a basketball for $25.57 and an air pump for $15.61. How much change will she receive if she pays for both items wit
DaniilM [7]

Answer:

8.82

Step-by-step explanation:

Add the basketball and airpump together and subtract from 50

3 0
3 years ago
Read 2 more answers
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