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damaskus [11]
3 years ago
12

Simplify the expression. Write your answer as a power. 6^10/6^4

Mathematics
2 answers:
OleMash [197]3 years ago
8 0

Step-by-step explanation:

6¹⁰/6⁴ = 6⁶

(basically you subtract 4 from 10 so you have 6)

user100 [1]3 years ago
7 0
6 to the 6 power
This is because when dividing exponentes you subtract them from one another and ten minus four is 6
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3 years ago
I don't understand this.
slava [35]
Wouldn't the answer  60
7 0
4 years ago
What is the equation of the line passing through the points (2, -1) and (5, -10) in slope-intercept form?
AnnyKZ [126]

Answer:

y=-3x+5

Step-by-step explanation:

m= (-10-(-1))/(5-2) = -3

-1 = -3x2 + c

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6 0
4 years ago
If a couple were planning to have three​ children, the sample space summarizing the gender outcomes would​ be: bbb,​ bbg, bgb,​
harkovskaia [24]

Answer:

a.S={hh,sh,hs,ss}

b.tex]\frac{1}{4}[/tex]

c.\frac{1}{2}

Step-by-step explanation:

We are given that a sample space of three children

S={bbb,bbg,bgb,bgg,gbb,gbg,ggb,ggg}

a.We have to construct similar space for two children where h for healthy and s for sick.

Then the sample space of two children

S={hh,sh,hs,ss}

b.Number of cases favorable to two healthy children=1

Total number of  cases=4

Number of cases for two healthy children=1

Probability =Number of favorable cases divided  by total number of cases

Probability=\frac{1}{4}

Hence, the probability of getting two healthy children=\frac{1}{4}

c.We have to find the probability of getting exactly one healthy child and one sick child

Number of cases of one healthy child and one sick child={hs,sh}=2

Probability=\frac{2}{4}=\frac{1}{2}

Hence, the probability of getting exactly one healthy child and one sick child=\frac{1}{2}

6 0
3 years ago
A hose dispenses 1,413 cm³ of water every minute into a cone with a radius of 60 cm and a height of 150 cm. How long will it tak
sergejj [24]
Hm. Have you ever dispensed water from a hose unto a cone? I know I haven’t, but math can give us a good idea of what it would be like — or at least, how long it would take.

We are told that the hose spills 1413 cm^3 of water every minute. We are also told the cone has a height of 150 cm and a radius of 60 cm. So far, so good.

First things first, we need to find out how much water can fit in the cone. That means volume. The volume of a cone is

π • r^2 • (h/3)

Let’s go ahead and plug in (remember we use 3.14 for π)

(3.14) • (60)^2 • (150/3)

The volume of the cone is 565,200 cm^3

Wait, I’m lost. What were we supposed to do again? Oh, right. We needed to find how long it would take for the hose to fill in the cone. Well, if we know the hose dispenses 1413 cm^3 per minute, and there is a total of 565,200 cm^3 the cone can take, we can divide the volume of the cone by the amount the hose dispenses per minute to get the number of minutes it’d take to fill it.

565200/1413

400 minutes. Wow, ok. I wouldn’t want to wait that long. That’s like watching 3 movies!
7 0
3 years ago
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