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Vikki [24]
3 years ago
14

Sam subtracted 5 from the quotient of a number and 3. Write an algebraic expression to represent the operations that Sam preform

ed
Mathematics
1 answer:
ella [17]3 years ago
4 0

Answer:

(x/3) - 5.

Step-by-step explanation:

Let the number be x.

The quotient of the number and 3 is x/3.

So the expression is:

(x/3) - 5.

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A spherical balloon is being inflated at a rate of 3 cubic inches per second. Determine the change in the rate of the radius.How
Novay_Z [31]

Answer:

The rate rate of change of radius is \frac{1}{48\pi} inches per second when the diameter is 12 inches.

The radius is changing more rapidly when the diameter is 12 inches.

Step-by-step explanation:

Consider the provided information.

A spherical balloon is being inflated at a rate of 3 cubic inches per second.

The volume of sphere is V=\frac{4}{3}\pi r^3

Differentiate the above formula with respect to time.

\frac{dV}{dt}=4\pi r^2\frac{dr}{dt}

Substitute the respective values in the above formula,

3=4\pi 6^2\frac{dr}{dt}

\frac{1}{48\pi}=\frac{dr}{dt}

The rate rate of change of radius is \frac{1}{48\pi} inches per second when the diameter is 12 inches.

When d=16

3=4\pi 8^2\frac{dr}{dt}

\frac{3}{256\pi}=\frac{dr}{dt}

Thus, the radius is changing more rapidly when the diameter is 12 inches.

5 0
3 years ago
What is the area of the semicircle?
Serggg [28]

Step-by-step explanation:

Area (semi-circle)= \frac{r^2\pi }{2}

A = \frac{(11)^2\pi }{2}

A=\frac{121\pi }{2}

A=\frac{379.94}{2}

A=189.97

The area of the semi-circle is 189.97

6 0
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Find the area of a circle with the radius of 3.5
VARVARA [1.3K]
Area = 38.48 hope this helps
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julsineya [31]

Answer:

27.7

Step-by-step explanation:

90 - 62.3 = 27.7

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Final cost of item = initial price(1 – rate)

Step-by-step explanation:

y(1 – .18) = .82y

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