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Oduvanchick [21]
3 years ago
9

Jayne is studying urban planning and finds that her town is decreasing in population by 3%

Mathematics
1 answer:
patriot [66]3 years ago
3 0

Answer:

True

Step-by-step explanation:

Let, P_0 be the initial population,

Given,

The population is decreasing by 3%  each year,

Thus, the population after t years would be,

P=P_0 (1-\frac{3}{100})^t

\implies P=P_0(1+\frac{-3}{100})^t

Since, if a population is changing by a constant rate then the population after t years is,

P=P_0(1+\frac{r}{100})^t

Where, r is the rate of changing per period.

Hence, in the given situation the population is changing by the constant rate.

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Which shows a correct set of steps for adding 614 and 3516?
bonufazy [111]

Answer:

Option A

Step-by-step explanation:

The unit volume explains it all.

Volumes are measured in units of length cubed. This also is the volume occupied by unit cubes.

By unit cubes, I meant, view the photo above

The volume of an object's says, how many of these cubes will fill that object.

It may not necessarily by a whole number.

So, the answer is Option A

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2 years ago
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What number is needed to complete the Pattern next 59, 51, 44, 38, 33, 29, 26, next
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Answer: 22


Step-by-step explanation:

To get from 59 to 51 you subtract 8 then it was minus 7, then minus 6, then minus 5, and then it just kept going down like that

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3 years ago
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Which of the following is the surface area of the right cylinder below?
muminat

Answer:

The one you have selected is the right answer 126 times pi

Step-by-step explanation:

Exact answer - 395.840674

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2 years ago
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Can anyone pls help me with this I'll mark as brainlist for correct answer please do explain in detail each answers Ty! (I'm pre
densk [106]

<u>Question 8</u>

a^2 + 7a + 12

= (a+3)(a+4)

When factorising a quadratic, the product of the two factors should equal the constant term (12), and the sum of the two factors should equal the linear term (7). To find the two factors, list out the factors of 12 (1x12, 2x6, 3x4) and identify the pair that adds up to 7 (3+4).

An alternative method if you get stuck during your exam would be to solve it algebraically using the quadratic formula and then write it in the factorised form.

a = (-7 +or- sqrt(7^2 - 4(1)(12)) / 2(1)

= (-7 +or- sqrt(1))/2

= -3 or -4

These factors are the negative of the values that would go in the brackets when written in factorised form, as when a = -3 the factor (a+3) would equal 0. (If it were positive 3 instead, then in the factorised form it would be a-3).

<u>Question 10</u>

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Rewrite each fraction with a common denominator so you can combine the fractions into one.

= -6(x - y)/18 + 9(4x - 7y)/18 - (x + y)/18

= (-6(x - y) + 9(4x - 7y) - (x + y)) /18

Expand the brackets and collect like terms.

= (-6x + 6y + 36x - 63y - x - y)/18

= (29x - 58y)/18

= 29/18 x - 29/9 y

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2 years ago
This high school stadium contains a track that surrounds a soccer field. The soccer field is 100 yards long and 70 yards
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