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scoundrel [369]
3 years ago
14

For the function f (x)= 3\4x −5ˏ what is f (16)

Mathematics
2 answers:
iris [78.8K]3 years ago
6 0
Basically you substitute 16 in for x.
f(16) = 3/4(16) - 5
f(16) = 12 - 5
f(16) = 7
Len [333]3 years ago
4 0
f(x) = \frac{3}{4}x - 5 \\f(16) = \frac{3}{4}(16) - 5 \\f(16) = 12 - 5 \\f(16) = 7
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A survey about the student government program at a school finds the following results 190 students like the program 135 Students
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5 0
3 years ago
Help please:))
Blababa [14]

Answer:

a) Because this asks about the radius and height, I assume that we are talking about a cylinder shape.

Remember that for a cylinder of radius R and height H the volume is:

V = pi*R^2*H

And the surface will be:

S = 2*pi*R*H + pi*R^2

where pi = 3.14

Here we know that the volume is 1000cm^3, then:

1000cm^3 = pi*R^2*H

We can rewrite this as:

(1000cm^3)/pi = R^2*H

Now we can isolate H to get:

H = (1000cm^3)/(pi*R^2)

Replacing that in the surface equation, we get:

S = 2*pi*R*H + pi*R^2

S = 2*pi*R*(1000cm^3)/(pi*R^2) + pi*R^2

S = 2*(1000cm^3)/R + pi*R^2

So we want to minimize this.

Then we need to find the zeros of S'

S' = dS/dR = -(2000cm^3)/R^2 + 2*pi*R = 0

So we want to find R such that:

2*pi*R = (2000cm^3)/R^2

2*pi*R^3 = 2000cm^3

R^3 = (2000cm^3/2*3.14)

R = ∛(2000cm^3/2*3.14) = 6.83 cm

The radius that minimizes the surface is R = 6.83 cm

With the equation:

H = (1000cm^3)/(pi*R^2)

We can find the height:

H = (1000cm^3)/(3.14*(6.83 cm)^2) =  6.83 cm

(so the height is equal to the radius)

b) The surface equation is:

S = 2*pi*R*H + pi*R^2

replacing the values of H and R we get:

S = 2*3.14*(6.83 cm)*(6.83 cm) + 3.14*(6.83 cm)^2 = 439.43 cm^2

c) Because if we pack cylinders, there is a lot of space between the cylinders, so when you store it, there will be a lot of space that is not used and that can't be used for other things.

Similarly for transport problems, for that dead space, you would need more trucks to transport your ice cream packages.

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Please help me with this graph!
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Answer:

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Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
Resolver:
Dafna1 [17]
Aquí está las respuestas y el trabajo de cada una, si tienes alguna pregunta me envías un mensaje o un comentario

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