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larisa86 [58]
3 years ago
11

Which best describes what is happening in section b ?

Mathematics
1 answer:
levacccp [35]3 years ago
3 0
D, he is moving at a constant spees
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Let W be part of the solid sphere of radius 4, centered at the origin, that lies above the plane z = 2. Set up an integral in cy
andriy [413]

Answer:

V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π

Step-by-step explanation:

Since we have the radius of the sphere R = 4, we have R² = r² + z² where r = radius of cylinder in z-plane and z = height² of cylinder.

So, r = √(R² - z²)

r = √(4² - z²)

r = √(16 - z²)

Since the region is above the plane z = 2, we integrate z from z = 2 to z = R = 4

Our volume integral in cylindrical coordinates is thus

V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π

4 0
2 years ago
Beulah used 3/5 pounds of dough, 3/4 pound of sugar, & 2/3 pounds of sprinkles to make donuts. How many pounds of donuts did
andre [41]

Number of pounds of dough used = 3/5 pounds.

Number of pounds of sugar used = 3/4 pounds

Number of pounds of sprinkles used = 2/3 pounds.

Total number of pounds of donuts = Number of pounds of dough used + Number of pounds of sugar used + Number of pounds of sprinkles used.

Plugging values.

Total number of pounds of donuts = 3/5 + 3/4 + 2/3.

We need to add all those fractions.

In order to add fracions, we need to find common denominator (lcd).

We have 5,4 and 3 in denominators.

Least common denominator(lcd) of 5, 4 and 3 is 60.

We need to make each denominator equals 60.

Multiplying first fracion by 12 in top and bottom, we get

3*12/5*12 = 36/60

Multiplying first fracion by 5 in top and bottom, we get

3*15/4*15 = 45/60

Multiplying first fracion by 20 in top and bottom, we get

2*20/3*20 = 40/60.

Therefore,

3/5 + 3/4 + 2/3 = 36/60 + 45/60 + 40/60

               =  121/60

Let us convert 121/60 into mixed fraction.

Dividing 121 by 60 we get quotient =2 and remainder =1.

So, the mixed fraction is 2 1/60.

Therefore, Beulah made total 2 1/60 pounds of donuts.

4 0
3 years ago
Y=3x-1 y=-2x+4 what is the sum of x and y in the solution to the system​
prohojiy [21]

Answer:

y=1,2 y=2

Step-by-step explanation:

3 0
2 years ago
PLEASE ANSWER ASAP WILL MARK BRAINLIEST
katrin2010 [14]

Answer:

48 hats and 104 shirts

Step-by-step explanation:

These are the equations you build from the problem:

h + s = 152

8.50h + 12s = 1656

This is how I solved them:

s= 152-h

8.5h + 12(152-h) = 1656

8.5h + 1824 - 12h = 1656

Solve for h

h= 48

Put this into first equation (h +s = 152) to get s

8 0
3 years ago
Read 2 more answers
(3x-2)(2x^2+3x-1), after I distribute how would I get an exponent of three, for the 6x?
Aliun [14]
Because when multiplying you add the number of variables, and there are 3 X's so it would be 6x with an exponent of 3
7 0
3 years ago
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