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Musya8 [376]
3 years ago
5

Please help and thank you

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
7 0
The answer is 55

Explanation:
4^3 -(-3)^2
64 - 9
55
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Answer:

D. is the correct one.........

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(20 points) A 2-liter bottle of soda (67.6 ounces) costs $1.89. A case of twelve 12 ounce
horrorfan [7]

Answer:

  • Unit price of a 2-liter bottle of soda: \$0.028\ per\ ounce
  • Unit price of a case of twelve 12 ounce  cans: \$0.021\ per\ ounce
  • The better bargain is the case of 12 ounce cans.

Step-by-step explanation:

Let be "x" the unit price (price/ounce) of the soda in the 2-liter bottle and "y"  the unit price (price/ounce) of the soda in the case  of twelve 12 ounces cans.

According to the data provided in the exercise, you know that:

1. The 2-liter bottle of soda  is equal to 67.6 ounces.

2. That bottle costs  $1.89

Then, the unit price is:

x=\frac{1.89}{67.6}\\\\x\approx0.028

3. There are 12 ounce  cans in the case. Then the total ounces is:

12\ oz*12=144\ oz

4. It costs $2.99.  So the unit price is:

y=\frac{2.99}{144}\\\\y\approx0.021

Since:

y

The better bargain is the case of 12 ounce cans.

5 0
3 years ago
A flagpole casts a shadow that is 23 feet long. Jorge is 5.25 feet tall, and
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Answer:

5.5

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The flagpole is 17.2 feet long.

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Answer:

y=\frac{t^2e^{2t}}{3}+ce^{2t}

Step-by-step explanation:

We have given differential equation \frac{dy}{dt}-2y=t^2e^{2t}

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Now integrating factor IF=e^{-Pdt}

IF=e^{-2dt}=e^{-2t}

Now solution of differential equation is given by

y\times IF=\int\ IF\times Q\ dt

y\times e^{-2t}=\int\ e^{-2t}\times t^2e^{2t}\ dt

y\times e^{-2t}=\frac{t^2}{3}+c

y=\frac{t^2e^{2t}}{3}+ce^{2t}

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Determine the scale factor for each reduction.
AlexFokin [52]

Answer:

c

Step-by-step explanation:

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