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3 years ago

Solve 3(x + 1) + 6 = 33.

Mathematics

1 answer:

sammy [17]3 years ago

7 0

add 6 plus 33 then do x+1 then you divide

Step-by-step explanation:

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A woman is emptying her aquarium at a steady rate with a small pump. The water pumped to a 12-in.-diameter cylindrical bucket, a

Temka [501]

Answer:

Therefore the rate at which water level is dropping is $\frac{11}{21}$ in per minute.

Step-by-step explanation:

Given that,

The diameter of cylindrical bucket = 12 in.

Depth is increasing at the rate of = 4.0 in per minutes.

i.e $\frac{dh_1}{dt}=4$

$h_1$ is depth of the bucket.

The volume of the bucket is V = $\pi r^2 h$

$=\pi \times 6^2\itimes h_1$

$\therefore V=36\pi h_1$

Differentiating with respect yo t,

$\frac{dV}{dt}=36\pi \frac{dh_1}{dt}$

Putting $\frac{dh_1}{dt}=4$

$\therefore\frac{dV}{dt}=36\pi\times 4$

The rate of volume change of the bucket = The rate of volume change of the aquarium .

Given that,The aquarium measures 24 in × 36 in × 18 in.

When the water pumped out from the aquarium, the depth of the aquarium only changed.

Consider h be height of the aquarium.

The volume of the aquarium is V= ( 24× 36 ×h)

V= 24× 36 ×h

Differentiating with respect to t

$\frac{dV}{dt}=24\times 36 \times \frac{dh}{dt}$

Putting $\frac{dV}{dt}=36\pi\times 4$

$36\pi\times 4= 24\times 36\times \frac{dh}{dt}$

$\Rightarrow \frac{dh}{dt}=\frac{36\pi \times 4}{24\times 36}$

$\Rightarrow \frac{dh}{dt}=\frac{11}{21}$

Therefore the rate at which water level is dropping is $\frac{11}{21}$ in per minute.

7 0

4 years ago

The quotient of d minus 16 and 3 is 4 . Which equation shows this ?

DanielleElmas [232]

Answer: d-16/3=4

Step-by-step explanation: thats the equation!

hope it helps please mark brainliest

5 0

4 years ago

You have 5 pounds and 10 ounces of laundry. Your washer has a capacity of 7 pounds. How many more ounces of laundry would you ne

irga5000 [103]

7 pounds = 16 pounds and 1 pound = 6 pounds and 16 ounces.

(6 pounds + 16 ounces) minus (5 pounds + 10 ounces) = 1 pound + 6 ounces

7 0

3 years ago

Read 2 more answers

What is the greatest common factor of 30, 45, 75?

snow_lady [41]

15 is the answer. Hope this helps

6 0

3 years ago

An amount of $44,000 is borrowed for 9 years at 3% interest, compounded annually. If the loan is paid in full at the end of that

faltersainse [42]

Answer:

A= $52,190.93

Step-by-step explanation:

A = $ 52,190.93

A = P + I where

P (principal) = $ 40,000.00

I (interest) = $ 12,190.93

Calculation Steps:

First, convert R percent to r a decimal

r = R/100

r = 3%/100

r = 0.03 per year,

Then, solve our equation for A

A = P(1 + r/n)nt

A = 40,000.00(1 + 0.03/1)(1)(9)

A = $ 52,190.93

Summary:

The total amount accrued, principal plus interest,

from compound interest on an original principal of

$ 40,000.00 at a rate of 3% per year

compounded 1 times per year

over 9 years is $ 52,190.93.

4 0

3 years ago