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lubasha [3.4K]
3 years ago
15

Write a linear function f with the values f(0) = 1 and f(-2)=-3,

Mathematics
1 answer:
amm18123 years ago
5 0
Y=2x +1

For f(0)=1 replace x by 0 and for f(-2)=3 replace x by -2
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A container is the shape of an inverted right circular cone has a radius of 4.00 inches at the top and a height of 5.00 inches.
Len [333]

The rate at which the water from the container is being drained is 24 inches per second.

Given radius of right circular cone 4 inches .height being 5 inches, height of water is 2 inches and rate at which surface area is falling is 2 inches per second.

Looking at the image we can use similar triangle propert to derive the relationship:

r/R=h/H

where dh/dt=2.

Thus r/5=2/5

r=2  inches

Now from r/R=h/H

we have to  write with initial values of cone and differentiate:

r/5=h/5

5r=5h

differentiating with respect to t

5 dr/dt=5 dh/dt

dh/dt is given as 2

5 dr/dt=5*-2

dr/dt=-2

Volume of cone is 1/3 πr^{2} h

We can find the rate at which the water is to be drained by using partial differentiation on the volume equation.

Thus

dv/dt=1/3 π(2rh*dr/dt)+(r^{2}*dh/dt)

Putting the values which are given and calculated we get

dv/dt=1/3π(2*2*2*2)+(4*2)

=1/3*3.14*(16+8)

=3.14*24/3.14

=24 inches per second

Hence the rate at which the water is drained from the container is 24 inches per second.

Learn more about differentaiation at brainly.com/question/954654

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5 0
2 years ago
so if Sarah has 10 apples and shes gives 2 to Jack, and Noah gives Sarah 8 more. How many apples does Sarah have now?
NARA [144]

Answer:

10-2+8

8+8=16

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the equation of the exponential function represented by the table
Elan Coil [88]

Answer:

y=3(2)^x

Step-by-step explanation:

y=3(2)^x

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3 years ago
The graph of F(x), shown below, has the same shape as the graph of G(x) = x2, but it is shifted to the left 2 units. What is its
denis-greek [22]

The transformed equation is:

F(x) = G(x + 2) = (x + 2)^2

So we can se that the correct option is D.

<h3>What is the equation?</h3>

We know that the graph of F(x) has the same shape of G(x) = x^2, but shifted to the left 2 units.

Remember that for a random function f(x), a shift of 2 units to the left is written as:

h(x) = f(x + 2).

Then, in this case, we can write:

F(x) = G(x + 2)

Replacing G(x), we can get the transformed equation:

F(x) = G(x + 2) = (x + 2)^2

So we can se that the correct option is D.

If you want to learn more about translations:

brainly.com/question/24850937

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4 0
1 year ago
PLEASE ANSWER THIS CORRECTLY I WILL GIVE YOU BRAINLIEST IF ITS CORRECT. I NEED THIS, I CANT DO ANYTHING FOR CHRISTMAS IF I FAIL
Sophie [7]

Answer:

1 is 50 min

Step-by-step explanation:

big brain

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3 years ago
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