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grigory [225]
3 years ago
6

A snack bar sells popcorn in cone-shaped containers. one container has a diameter of 8 inches and a height of 10 inches. how man

y cubic inches of popcorn does the container hold?
Mathematics
2 answers:
uysha [10]3 years ago
7 0
We know that the volume of a cone is given by the following relation:  
V = (pi * r^2 * h)/3 
 where r is radius and h is height of the cone
  In our case, radius is diameter divide by 2: 
 V = (pi * (8/2)^2 * 10) / 3 = 167.55 cubic inches 
 So the container holds 167.55 cubic inches
Step2247 [10]3 years ago
7 0

Answer:

We know that the volume of a cone is given by the following relation:  

V = (pi * r^2 * h)/3

where r is radius and h is height of the cone

 In our case, radius is diameter divide by 2:

V = (pi * (8/2)^2 * 10) / 3 = 167.55 cubic inches

So the container holds 167.55 cubic inches

Step-by-step explanation:

cuz

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What is 36/100 added with 4/10
Ipatiy [6.2K]

Answer:

0.76 or 19/25

Step-by-step explanation:

Convert 4/10 so that it has a common denominator with 36/100.

4/10 x 10/10 = 40/100

Now that the denominator is the same, just add the top values.

40/100 + 36/100 = 76/100

We can also simplify the answer to be 19/25 by dividing the top and bottom by 4.

5 0
3 years ago
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If the acceleration of an object is given by dv/dt = −2v, Find the position function s(t) if v(0) = 7 and s(0) = 0.
kirill [66]

Answer:

Step-by-step explanation:

Given that acceleration of an object is

\frac{dv}{dt} =-2v\\\frac{dv}{v} =-2dt\\ln v = -2t+C\\

is the solution to the differential equation

Since v(0) =7

we get ln 7 = C

Hence lnv = -2t+ln 7\\v=7e^{-2t}

since velocity is rate of change of distance s we have

v=\frac{ds}{dt} =7e^{-2t}\\s= [tex]s(t) =\frac{-7}{2} (e^{-2t})+C)[

substitute t=0 and s=0

C=7/2

So solution for distance is

s(t) =\frac{-7}{2} (e^{-2t}-1)

4 0
3 years ago
Find the set the solves <br> <img src="https://tex.z-dn.net/?f=x%20%2B%20%20%20%5Cfrac%7B2%7D%7Bx%7D%20%20%20%5Cgeq%203" id="Tex
Nady [450]
Hello,
To exist x≠0

if x>0 then
x+2/x>=3==>x²+2>=3x
==>x²-3x+2>=0
==>(x-2)(x-1)>=0 positive out of the roots
==>  (x<=1 or x>=2) and x>0
==>(0<x<=1) or (x>=2)
else
x<0
x+2/x>=3==>x²+2<=3x
==>x²-3x+2<=0 negative betheen the roots
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4 0
3 years ago
Need Assistance With This<br>*Please Show Work*​
artcher [175]

Answer:

a =7.5

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+ b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + 10 ^2 = 12.5^2

a^2 + 100  =156.25

Subtract 100 from each side

a^2 = 56.25

Take the square root of each side

sqrt(a^2) = sqrt( 56.25)

a =7.5

3 0
3 years ago
HELP PLEASE WILL GIVE BRAINLIEST WORTH 50 POINTS
Alja [10]

Answer:

y = 8.13 x -16125.713


hope it helps

Step-by-step explanation:

Sum of X = 14004

Sum of Y = 977

Mean X = 2000.5714

Mean Y = 139.5714

Sum of squares (SSX) = 53.7143

Sum of products (SP) = 436.7143

Regression Equation = ŷ = bX + a

b = SP/SSX = 436.71/53.71 = 8.13032

a = MY - bMX = 139.57 - (8.13*2000.57) = -16125.71277

ŷ = 8.13032X - 16125.71277

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3 years ago
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