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3 years ago

A dogs weighs 7 pounds and triples each year for two years. How much does the dog weigh?

Mathematics

2 answers:

Tanya [424]3 years ago

5 0

Year 1: 7lbs x 3years= 21lbs
Year 2: 21lbs x 3years = 63lbs

Viktor [21]3 years ago

4 0

7 pounds times 3 is 21 for the first year, and 21 times 3 is 63 for the second year. The answer is 63 pounds.

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Find the general solution of (x+3)y’=2y

gregori [183]

Answer:

$y=C(x+3)^2$

Step-by-step explanation:

We are given:

$\displaystyle (x+3)y^\prime=2y$

Separation of Variables:

$\displaystyle \frac{1}{y}\frac{dy}{dx}=\frac{2}{x+3}$

So:

$\displaystyle \frac{dy}{y}=\frac{2}{x+3} \, dx$

Integrate:

$\displaystyle \int\frac{dy}{y}=\int\frac{2}{x+3}\, dx$

Integrate:

$\displaystyle \ln|y|=2\ln|x+3|+C$

Raise both sides to e:

$|y|=e^{2\ln|x+3|+C}$

Simplify:

$|y|=(e^{\ln|x+3|})^2\cdot e^C$

So:

$|y|=C|x+3|^2$

Simplify:

$y=\pm C(x+3)^2=C(x+3)^2$

5 0

3 years ago

Kira took $72 to a concert. If she paid for 5 tickets that each cost d dollars, she will have 72- 5d left. If each ticket costs

Akimi4 [234]

Answer:

$32

Step-by-step explanation:

Put 8 where d is, and do the arithmetic.

amount left = 72 -5·8 = 72 -40 = 32

Kira will have $32 left after paying for 5 tickets.

7 0

3 years ago

Jenna is drawing a sketch of her room. The room is 15 feet long by 12 feet wide. The

SOVA2 [1]

Answer:

4 inches

Step-by-step explanation:

Actual dimensions:

Length = 15 feet

Width = 12 feet

Scale dimensions:

Length = 5 inches

Width = x inches

Write a proportion:

$\dfrac{\text{Actual length}}{\text{Scale length}}=\dfrac{\text{Actual width}}{\text{Scale width}}\\ \\ \\\dfrac{15\ feet}{5\ inches}=\dfrac{12\ feet}{x\ inches}\\ \\x=\dfrac{5\ inches\times 12\ feet}{15\ feet}=4\ inches$

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3 years ago

F Andre sold 16 magazine subscriptions this week, would he reach his goal? Explain your reasoning.

Misha Larkins [42]

Answer:

What are some other numbers of magazine subscriptions Andre could have sold and still reached his goal?

Write an inequality expressing that Andre wants to make at least $68.

Write an inequality to describe the number of subscriptions Andre must sell to reach his goal.

8 0

3 years ago

I need help with this

VikaD [51]

This should help just try to use this

4 0

3 years ago