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2 years ago

14

Julie has a square-shaped driveway with an area of 256 square feet. What are the dimensions of the driveway?

1 answer:

ohaa [14]2 years ago

7 0

Answer:

16ft x 16ft

Step-by-step explanation:

Square shaped, so side lengths are all the same size, so 16ft by 16ft. 256 would also need to end in a 5 to be a product of 15 by 15 but would end in six for 16x16 (5*5 and 6*6 will show last digit of the number)

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Write 35 weeks as a number of years

arsen [322]

Since there are 52 weeks in a year, we can display this as a fraction.

So,
35/52

Hope this helps!

5 0

3 years ago

Last year, a small manufacturing company netted a profit of $540,000. The net profit increased this year by 135%. What is the ne

maks197457 [2]

940,000 is your answer
You have to divide 135 from 540,000 and then multiply 100. Which is 400,000.
540,000+400,000=940,000.
If it’s not that, I’m sorry

4 0

3 years ago

Read 2 more answers

In 1859, 24 rabbits were released into the wild in Australia, where they had no natural predators. Their population grew exponen

Mashcka [7]

Answer:

a) P' = P

$P(t) = 24e^{0.693t}$ where t is step of 6 months

b) 7.7 years

c)1064.67 rabbits/year

Step-by-step explanation:

The differential equation describing the population growth is

$\frac{dP}{dt} = P$

Where t is the range of 6 months, or half of a year.

P(t) would have the form of

$P(t) = P_0e^{kt}$

where $P_0 = 24$ is the initial population

After 6 month (t = 1), the population is doubled to 48

$P(1) = 24e^k = 48$

$e^k = 2$

$k = ln(2) = 0.693$

Therefore $P(t) = 24e^{0.693t}$

where t is step of 6 months

b. We can solve for t to get how long it takes to get to a population of 1,000,000:

$24e^{0.693t} = 1000000$

$e^{0.693t} = 1000000 / 24 = 41667$

$0.693t = ln(41667) = 10.64$

$t = 10.64 / 0.693 = 15.35$

So it would take 15.35 * 0.5 = 7.7 years to reach 1000000

c. $P' = P_0ke^{kt}$

We need to resolve for k if t is in the range of 1 year. In half of a year (t = 0.5), the population is 48

$24e^{0.5k) = 48$

$0.5k = ln2 = 0.693$

$k = 1.386$

Therefore, $P' = 1.386*24e^{1.386t}$

At the mid of the 3rd year, where t = 2.5, we can calculate P'

$P' = 1.386*24e^{1.386*2.5} = 1064.67$ rabbits/year

4 0

2 years ago

Infinity - infinity?

pav-90 [236]

Do you mean what does infinity + infinity equals to? If so, infinity + infinity = infinity.

3 0

2 years ago

The hypotenuse of a right triangle is 14 centimeters long. One of the legs of the triangle is 6 centimeters. What is the length

BartSMP [9]

Answer: 12.65 cm

Step-by-step explanation:

Use the Pythagoras theorem,

a^2 + b^2= c^2

You are given the hypotenuse , which is c and another leg which is either a or b, does not particularly matter- rearrange to find the missing length

c^2 - b^2 = a^2

14^2 - 6^2 = 160

Square root 160 to find the missing length

12.65

Hope this helped :)

5 0

3 years ago