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Andrei [34K]
2 years ago
15

Use the Product Property for Exponents to explain why x · x = x2.

Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
3 0

Whenever there is no exponent on a variable,

you can give it an exponent of 1.

So we can rewrite the x's in this problem as x¹.

When we multiply two terms together

with like bases, we add their exponents.

So now just add their exponents to get x².

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PLEASE ANSWER QUICKLY ASAP <br>ANSWER QUESTION A​
77julia77 [94]

Answer:

2934.46692

Step-by-step explanation:

if you need to round it,

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3 0
3 years ago
Frankie runs every third day Ryan runs every sixth day.In the next 100 days how many times will Frankie and Ryan run on the same
Papessa [141]

Answer:

16 times

Step-by-step explanation:

To find how many times Frankie and Ryan run on the same day in the next 100 days, find the common multiples of 3 days and 6 days to 100 days

Frankie (every third day) = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99.

Ryan (every sixth day) = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96.

Common multiples of 3 days and 6 days = 12, 18, 24, 30, 36, 42, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96.

Frankie and Ryan will run on the same day 16 times in the next 100 days

6 0
3 years ago
Volume of a cone = r²h,
inessss [21]

Answer:

7.5 m           457.5\pi m^{2}

Step-by-step explanation:

First, visualize the original cone and the smaller cone as overlapping similar triangles. The scale factor of the original cone to the smaller cone is 50:40, so if the smaller cone has a radius of 6 m, then the radius of the original cone would be 7.5 m.

The volume of the frustum is the volume of the original cone minus the volume of the smaller cone. The formula for the volume of a cone is V = \frac{1}{3} \pi r^{2}h.

Original Cone = \frac{1}{3} \pi r^{2}h = \frac{1}{3} \pi *7.5^{2}*50 = 937.5\pi

Smaller Cone = \frac{1}{3} \pi r^{2}h =  \frac{1}{3} \pi *6^{2}*40 = 480\pi

Frustum = 937.5\pi - 480\pi = 457.5\pi

6 0
2 years ago
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7 0
2 years ago
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