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3 years ago

Add -4 + 2/3A) -5 2/3B) -4 2/3C) -3 2/3D) -3 1/3

Mathematics

1 answer:

kodGreya [7K]3 years ago

4 0

Answer:

Step-by-step explanation:

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A circular cylindrical container, open at the top, and having a capacity of 24pi cubic inches, is to be manufactured. If the cos

otez555 [7]

Answer: radius r = 2 inches

height h = 6 inches

Step-by-step explanation:

Given;

Volume V = 24πin3

Volume of a cylinder is given by

V = πr^2h

h = V/πr^2. ....1

Where, h = height and r = radius of cylinder

For the surface area of the cylinder with open top. we have,

S = 2πrh + πr^2

For the cost of materials used, let k represent the cost of materials used for the body of the cylinder.

Then, for the bottom will be 3k

Total cost will be represented by C, which gives

C = 2πrhk + 3πr^2k. .....2

Substituting eqn 1 to 2, we have;

C = 2πrVk/πr^2 + 3πr^2k

C = 2Vk/r + 3πr^2k

The material cost is minimum at dC/dr = 0

dC/dr = -2Vk/r^2 + 6πrk =0

6πrk = 2Vk/r^2

r^3 = 2V/6π

r = (2×24π/6π)^-3

r = (8)^-3

r = 2

Substituting r = 2 into eqn1

h = 24π/π(2^2)

h = 24/4 = 6

h = 6

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3 years ago

Put in order from large to small: 0,2,-1.5,-2,0.5,-5

Dafna1 [17]

0.5, 0.2, -1.5 , -2 , -5

8 0

2 years ago

Where are the x-intercept(s) of the graph?

lapo4ka [179]

Answer:

The answer would be B.

Step-by-step explanation:

The X-intercept is simply the point in which the line crosses the x axis, and the point where it crosses or touches is 0, 0

6 0

2 years ago

¿El número 10.452 es divisible por 2, 3, 5, 6 y 10?

Papessa [141]

2,3,6 - yes
5,10 - no

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3 years ago

⎧

d1i1m1o1n [39]

Given:

The given expression to find the nth term of the sequence is $d(n)=d(n-1) \cdot (-5)$

The first term of the sequence is $d(1)=8$

We need to determine the third term of the sequence.

Second term:

The second term of the sequence can be determined by substituting n = 2 in the nth term of the sequence.

Thus, we have;

$d(2)=d(2-1) \cdot (-5)$

$d(2)=d(1) \cdot (-5)$

$d(2)=8 \cdot (-5)$

$d(2)=-40$

Thus, the second term of the sequence is -40.

Third term:

The third term of the sequence can be determined by substituting n = 3 in the nth term of the sequence.

Thus, we have;

$d(3)=d(3-1) \cdot (-5)$

$d(3)=-40 \cdot (-5)$

$d(3)=120$

Thus, the third term of the sequence is 120.

7 0

2 years ago

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