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ELEN [110]
3 years ago
12

Geometry help please

Mathematics
1 answer:
Mariana [72]3 years ago
4 0
The volume of a sphere is:

V=(4πr^3)/3, and you are told that r=5in so

V=(4π125)/3

V=500π/3 in^3

V≈523.60 in^3
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The lifetime of a battery has the exponential distribution with mean 6.9 months. If it fails, I immediately replace it with anot
irga5000 [103]

Answer:

You should <u>carry 2 other batteries.</u>

Step-by-step explanation:

If the average life of each battery tends to last 6.9 months, and what you need is a year of battery supply, you probably need to carry two batteries.

The battery inside the flashlight has probably already spent much of its half-life.

We are told that the flashlight already has a battery inside, the batteries are discharged inside the flashlight even if the flashlight is not being used.

Which means that the average life of that battery is wearing out.

It would take 2 more batteries in addition to the one already inside the flashlight to supply the need for these for a year.

5 0
3 years ago
You need to solve a system of equations. You decide to use the elimination
zhenek [66]

Answer:

Step-by-step explanation:

5 0
2 years ago
Order the percents,decimals and fractions from ​least to greatest​. Put your answer in ​percent form.9.2%, 2/5, 0.065, 6.56
GREYUIT [131]

Answer:

0.65%, 9.2%, 40%, 656%

Step-by-step explanation:

see answer

6 0
3 years ago
If f = 350i - 250j - 450k6 n and cable ab is 9 m long, determine the x, y, z coordinates of point a
ycow [4]
<span> we know the length of the cable is 9m.
That means the magnitude of  </span><span><span>r<span><span>​<span>AB</span></span><span>​​</span></span></span>=9</span><span>m.
The unit vector, denoted u, is each of </span><span>r<span><span>​<span>AB</span></span><span>​​</span></span></span><span> divided by the magnitude.

</span>u=<span>(<span>​​<span>​x/9</span><span>​​</span></span>i−<span>​y/9<span>​​</span></span>j−<span>​z/9<span>​​</span></span>k<span>)

</span></span><span>We can also figure out the unit vector of F. 
</span>u=​(350i - 250j - 450k)/√(350² +(-250)² +(-450)²)
u=0.562i−0.401j−0.723<span>k
</span>
<span>Force F is directed from point A to B, then both unit vectors must be equal.

Therefore
</span>(​​​x/9​​i−​y/9​​j−​z/9​​k)=0.562i−0.401j−0.723k
<span>We can now solve for each term
x/9=0.562----- > x=5.058 m
-y/9=-0.401--------- > y=3.609 m
-z/9=-0.723------- > z=6.507 m

The answer is
the coordinates of point a
(5.058,3.609,6.507)
</span>
6 0
3 years ago
Five hundred tickets were sold for a play the tickets cost $7.50 for adults and $4.00 for children A total of $3,312.50 was rece
kotykmax [81]
Hi there :-)
4c+7.5a=3312.50
Let
C=x
A=500-x
4x+7.5 (500-x)=3312.50
Solve for x
4x+3750-7.5x=3312.50
4x-7.5x=3312.5-3750
-3.5x=-437.5
X=437.5/3.5
X=125 of children

A=500-125=375 of adults

Hope it helps
4 0
3 years ago
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