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3 years ago

What is the perimeter of parallelogram ABCD?

Mathematics

1 answer:

Degger [83]3 years ago

7 0

Answer:

Step-by-step explanation:

Its 4, 4, 5, and 5 which equals 18 cm.

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emily is entering a bicycle race for charity her mothe pledges $0.40 for every 0.25 mile she bikes.if emily bikes 15 miles how m

Bad White [126]

The answer is $24

.40 times .25 = 1.60 per mile
1.60 times 15 miles = 24 dollars

7 0

3 years ago

The population of a suburb grows at a rate proportional to the population. Suppose the population doubles in size from 3000 to 6

frozen [14]

Answer:

$P(t) = 3000e^{0.1155t}$

Step-by-step explanation:

The growth of the population can be modeled by the following differential equation:

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

Where r is the growth rate, P is the population, and t is the time measures in months.

I am going to solve the above differential equation with the separation of variables method.

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

Integrating both sides:

$ln P = rt + P(0)$

Where P(0) is the initial condition

We need to isolate P in this equation, so we do this

$e^{ln P} = e^{rt + P(0)}$

$P(t) = P(0)e^{rt}$

The problem states that P(0)=3000, so:

$P(t) = 3000e^{rt}$

The problem wants us to find the value of r:

It states that the population doubles in size from 3000 to 6000 in a 6- month period, meaning that P(6) = 6000. So

$6000 = 3000e^{6r}$

$e^{6r} = 2$

To isolate 6r, we apply ln to both sides.

$ln (e^{6r}) = ln 2$

$6r = 0.693$

$r = \frac{0.693}{6}$

r = 0.1155

The particular solution to the differential equation with the initial condition P(0)=3000 is:

$P(t) = 3000e^{0.1155t}$

5 0

3 years ago

megans insurance company pays for 90% of her knee surgery after she pays an $800 deductible how much will Megan pay for surgery

algol [13]

Answer:

Megan will have to pay $2, 260 for surgery.

Step-by-step explanation:

1. Translate percent into decimal:

90% -> 0.9

2. Multiply (to find out how much the insurance company pays):

(0.9)(14, 600) = 13, 140

3. Subtract:

14, 600 - 13, 140 = 1, 460

4. Add (to find out how much Megan pays):

1, 460 + 800 = 2, 260

3 0

3 years ago

Read 2 more answers

A lot of 100 semiconductor chips contains 15 that are defective. three chips are selected at random from the lot without replace

Alex787 [66]

D=event that chip selected is defective
d=event that chip selected is NOT defective

Four possible scenarios for the first two selections:
P(DDD)=15/100*14/99*13/98=13/4620
P(DdD)=15/100*85/99*14/98=17/924
P(dDD)=85/100*15/99*14/99=17/924
P(ddD)=85/100*84/99*15/98=17/154

Probability of third selection being defective is the sum of all cases,
P(XXD)=P(DDD)+P(DdD)+P(dDD)+P(ddD)
=3/20

5 0

3 years ago

Select all that apply.

Nina [5.8K]

Step-by-step explanation:

In parallelogram Both pairs of opposite sides are parallel

3 0

3 years ago