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3 years ago

What is the difference between (8y-7) and (1-3y)?

1 answer:

7 0

________________________________

Solution,

(8y-7)-(1-3y)

= 8y-7-1+3y

= 8y+3y-7-1

=11y-8

Hope it helps

Good luck on your assignment

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Suppose the population of a certain city is 5358 thousand. It is expected to decrease to 4565 thousand in 50 years. Find the per

notsponge [240]

Answer:

The population decreases at the rate of 0.32% a year.

Step-by-step explanation:

The population of this certain city can be modeled by this following differential equation.

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

where r is the growth rate(r>0 means that the population increases, r < 0 it decreases).

We can solve this by the variable separation method. We have that:

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

Integrating both sides, we have

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

where P(0) is the initial population.

To find P in function of t, we apply the exponential to both sides.

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

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

The initial population of the city 5,358,000. So P(0) = 5,358,000.

It decreases to 4,565,000 in 50 years. So P(50) = 4,565,000.

Applying to the bold equation:

$5,358,000 = 4,565,000e^{50r}$

$e^{50r} = 1.174$

To find the growth rate, we apply ln to both sides.

$ln{e^{50r}} = ln{1.174}$

$50r = 0.16$

r = $\frac{0.16}{50} = 0.0032 = 0.32%$

The population decreases at the rate of 0.32% a year.

5 0

3 years ago

A disc has a radius of 31 cm. What is the circumference of

schepotkina [342]

Answer:

22 cm

Step-by-step explanation:

radius is 3 1/2 cm, which is 3.5 in decimal form

the circumference comes out to be 21.99, which is rounded to 22.

6 0

3 years ago

What is 4 over 25 as a decimal

kotykmax [81]

The answer is:
4/25 is the same as saying 16/100 (you do it the easy way because its obvious). Thus, you have 16 over 100. That's 16 one-hundredths. .16 is your answer.

Or you simply divide the denominator into the numerator (the bottom into the top) like this: 4 divided by 25, which will give you the same answer: .16
Hope this helpes! :3

5 0

3 years ago

Use the diagram and the Pythagorean Theorem to find the EXACT area of square ABCD

Burka [1]

ANSWER

The area of square ABCD is
$25 \: square \: unit$

EXPLANATION

The area of square ABCD is the square of the length of one side.

That is the area of ABCD is |AD|²

From Pythagoras theorem,

${|AD|}^{2} = { |AG| }^{2} + { |GD| }^{2}$

We can read from the graph that, each box is one unit.

This implies that,

${|AD|}^{2} = {4}^{2} + {3}^{2}$

${|AD|}^{2} =16 + 9$

${|AD|}^{2} =25$

Therefore the area of square ABCD is 25 square units.

The correct answer is option C.

5 0

3 years ago

Read 2 more answers

I need to do b and d

cupoosta [38]

I only know the answer for b I don't know the answer for d. So here is the answer for b 9 time 9= to 18+11+8x4-1=60

5 0

3 years ago