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photoshop1234 [79]

3 years ago

13

A balloon that has a volume of 72 cubic centimeters is deflating at a rate of 4 cubic cm every 5 seconds. At this rate, how long

will it take for all 72 cubic cm to deflate?

1 answer:

kirill115 [55]3 years ago

5 0

Answer: 90 seconds or 1 min. and 30 sec.

Step-by-step explanation:

72/4=18

18x5=90

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Please help me with this Algebra I question.

horrorfan [7]

Answer:

$-\dfrac{b^2}{16a^4}$

Step-by-step explanation:

Given expression:

$\dfrac{(2a)^{-2}b^5}{-4a^2b^3}$

$\textsf{Apply the exponent rule}\quad (ab)^c=a^c \cdot b^c:$

$\implies \dfrac{2^{-2}a^{-2}b^5}{-4a^2b^3}$

Separate the variables:

$\implies \dfrac{2^{-2}}{-4}\cdot \dfrac{a^{-2}}{a^2}\cdot \dfrac{b^5}{b^3}$

$\textsf{Apply the exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:$

$\implies \dfrac{2^{-2}}{-4}\cdot a^{-2-2}\cdot b^{5-3}$

$\implies \dfrac{2^{-2}}{-4}\cdot a^{-4}\cdot b^{2}$

$\textsf{Apply the exponent rule}\quad a^{-n}=\dfrac{1}{a^n}:$

$\implies \dfrac{1}{-4(2^2)}\cdot \dfrac{1}{a^4}\cdot b^{2}$

$\implies -\dfrac{1}{16}\cdot \dfrac{1}{a^4}\cdot b^{2}$

Simplify:

$\implies -\dfrac{b^2}{16a^4}$

5 0

2 years ago

If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with t

Andreas93 [3]

D) 30

A polygon can rotate a total of 360. This one has 12 sides and 12 angles that are all congruent. So to coincide with original image, it must rotate 1/12 of the way around

360/12=30

3 0

4 years ago

Read 2 more answers

34,100 at 4% for 3 years

hram777 [196]

You don't say whether you want simple interest or compound interest. I will assume you want the latter.

A = Compound Amount = P(1+0.04)^3
= $34100(1+0.04)^3 = $38357.86 (answer)

5 0

4 years ago

Ceaser bought 2 bottles of juice that each holds 2 quarts and another bottle that holds 1 1/2 gallons of juice. How many quarts

Rufina [12.5K]

1 gallon = 4 quarts. 1 1/2 = 6 quarts. 2 bottles × 2 quarts = 4 quarts
6 qt + 4 qt = 10 quarts of juice.

Please mark me as brainliest. I really need it right now.

8 0

4 years ago

What is the fourth term of a number pattern that begins with 250 and subtracts 13

Lana71 [14]

4th term would be
250 - (n-1)•13
250 - (4-1)•13
250 - 39
211

check:
250
237
224
211

4 0

4 years ago