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Alja [10]
3 years ago
15

Can i get help please ?

Mathematics
1 answer:
wariber [46]3 years ago
4 0

Answer:

D -- the last one

Step-by-step explanation:

The formula tells you what to do.

t = 3

A0 = 25

A(t) = ?

A(3)  = 25 * (1/2)^3

A(t) = 25 * 1/8

A(t) = 25/8

A(t) = 3.125

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44.3 in scientific notation
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4.43×10^2 is the correct way to express 44.3 in scientific notation
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2 years ago
If y is 2.5 when x is 5 and y varies directly with x, find y when x is 14. 7 7.5 12.5 28
Alexxx [7]
Y is 7 because y is half of x so since x is 14 y is 7 because when x us 5 y is 2.5
5 0
3 years ago
Consider the function V=g(x), where g(x) =x(6-2x)(8-2x), with x being the length of a cutout in cm and V being the volume of an
Andrej [43]

Answer:

The maximum volume of the open box is 24.26 cm³

Step-by-step explanation:

The volume of the box is given as V=g(x), where g(x)=x(6-2x)(8-2x) and 0\le x\le3.

Expand the function to obtain:

g(x)=4x^3-28x^2+48x

Differentiate  wrt  x to obtain:

g'(x)=12x^2-56x+48

To find the point where the maximum value occurs, we solve

g'(x)=0

\implies 12x^2-56x+48=0

\implies x=1.13,x=3.54

Discard x=3.54 because it is not within the given domain.

Apply the second derivative test to confirm the maximum critical point.

g''(x)=24x-56, g''(1.13)=24(1.13)-56=-28.88\:

This means the maximum volume occurs at x=1.13.

Substitute x=1.13 into g(x)=x(6-2x)(8-2x) to get the maximum volume.

g(1.13)=1.13(6-2\times1.13)(8-2\times1.13)=24.26

The maximum volume of the open box is 24.26 cm³

See attachment for graph.

6 0
3 years ago
Find unit rate for 51 in 14 min.
wariber [46]
Its going to be .27ths of an inch for 1 minute.
7 0
3 years ago
Read 2 more answers
HELP PLEASE 16 points
Lina20 [59]

Answer: 21

Step-by-step explanation: In these types of problems, you use inverse operations. The inverse operation for multiplying is dividing. 42 divided by 2 is 21.

5 0
3 years ago
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