9 X 19 + 2 X 57 - 75 = n

Using an exponential function, it is found that the city will be half populated in 9 months.

The population of Fantasy City doubles each month, hence, after t months, the population is given by:

[tex]P(t) = P(0)2^{t}[/tex]

Fully populated in 10 months, hence, the full population is:

[tex]P(10) = P(0)2^{10} = 1024P(0)[/tex]

Hence, half populated is [tex]P(t) = \frac{1024P(0)}{2} = 512P(0)[/tex], hence:

[tex]P(t) = P(0)2^{t}[/tex]

[tex]512P(0) = P(0)2^{t}[/tex]

[tex]2^t = 512[/tex]

[tex]2^t = 2^9[/tex]

[tex]t = 9[/tex]

The city will be half populated in 9 months.

To learn more about exponential functions, you can take a look at https://brainly.com/question/25537936

Answer:

1. a break-even point

Step-by-step explanation:

This is when the two profits are the same between 2 companies / businesses, thus it is when they break even, or have the same amount of money

Answer: 3.456 × 1011

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

375 - 150 = 225

225 / 25 = 9

Answer:

I believe the answer would be 9 weeks

Answer:

i think factor the expression (r+7)(r+14) is answer

Step-by-step explanation:

Answer:

(r + 14)

Step-by-step explanation:

When factoring a trinomial in the form of:

[tex]ax^2+bx+c[/tex]

you need to find 2 numbers that multiply to make ac and add to make b. Here, we need to find 2 numbers that multiply to 98 and add to 21. First, list the factors of 98:

1, 98

2, 49

7, 14

and the reverse of all of those is also true.

Now find factors that add to 21. In this case, those are 7 and 14. You need to break the middle term in the trinomial into those 2 numbers:

[tex]r^2+21r+98\\r^2+7r+14r+98[/tex]

Finally, you can factor each half of this individually.

[tex](r^2+7r)+(14r+98)\\r(r+7)+14(r+7)\\(r+14)(r+7)[/tex]

We were already given (r + 7), so the answer is (r + 14).

5

she gave her sister 5 toys.

Correction to the question - It is not 15 it 1/5th.

According to the given question Cynthia had 25 toys and she gave 1/5th of her toys to her little sister.

So, The total number of toys is 25 to find 1/5th of it we need to multiply the total number of toys she had and the fraction she gave.

(25 x 1/5) = 5. so the number of toys she gave away to her little sister is 5.

Learn more about word problems here :

https://brainly.com/question/2610134

#SPJ2

Answer:

Step-by-step explanation:

they arent similar because the ratio of 8 to 14 and 10 to 18 arent the same.

Answer:

B) 0.1

Step-by-step explanation:

The prefix "deci-" means "tenth", so a decigram would be one-tenth of a gram (or 0.1 grams). Therefore, option B is correct.

Answer:

-12x²-48x-42.5

Step-by-step explanation:

Using it's formula, it is found that the slope of the line formed from the two given places is of [tex]\mathbf{\frac{6}{7}}[/tex]

Given two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex], the slope is given by change in y divided by change in x, that is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

In this problem:

Hence, applying the formula for the slope, considering [tex](x_1, y_1) = (-1, -4)[/tex] and [tex](x_2,y_2) = (6,2)[/tex]:

[tex]m = \frac{2 - (-4)}{6 - (-1)} = \frac{6}{7}[/tex]

The slope is of [tex]\mathbf{\frac{6}{7}}[/tex]

A similar problem is given at https://brainly.com/question/5427529

Answer:

Marsha has driven 252 miles

Step-by-step explanation:

In order to figure out the problem, you take the total distance and multiply it by the fraction she has gone. This would be 630*(2/5) which would equal 252. Thus, Masha has driven 252 total miles.

Hope this helps!     :)

Answer:

He save 55$+50$ which is 105$

Step-by-step explanation:

total for iguana is 135$ and parakeet is 90$

= 225$

Answer: C. decreased . . . increase.

As technology is advancing it requires less time and effort to do almost anything. So for tranportation as well i think it will take less time to do it. Thus logically people would want to trade more because the transport goods take less time. I guess?

Answer:

C

Step-by-step explanation:

Cumulative Exam 2021

Merry Christmas <3

P.S. Have a good winter break :)

Answer:

0.7 is 7/10 Example out of ten cookies 7 are chocolate chip

0.07 is 7/100 Example out of 100 cookies 7 are chocolate chip

Hope This Helps!!!

Answer:

46 cards

Step-by-step explanation:

We can use a variable to represent the starting amount of cards: (x)

Keith bought 4 new cards: (+4)

His dog ate half of the collection: (x/2)

There are now 25 cards: (=25)

So we can use this expression to find the starting amount: (x+4)/2=25

Start by multiplying both sides by 2 to get rid of the (x/2).

Now subtract 4 from both sides to get rid of the (+4).

Finally, we know x= 46

Thus, Keith started with 46 cards.

Answer:

27/16

Step-by-step explanation:

[tex]12 \div \left(2 + \dfrac 23 \right)^2\\\\\\=12 \div \left(\dfrac 83 \right)^2\\\\\\=12 \div \dfrac{64}9\\\\\\=12 \times \dfrac{9}{64}\\\\\\= \dfrac{3 \times 9}{16}\\\\\\=\dfrac{27}{16}\\\\\\=1\dfrac{11}{16}[/tex]

Answer: She should charge $10.50 for each box

Step-by-step explanation:

Total cookies = 960

Each box has 16 cookies

Her goal is $630

First, you want to find out how many boxes she made

960÷ 16 = 60

She made 60 boxes

Now you want to find the price for each box

630 ÷ 60 = 10.5

She should charge $10.50 for each box

I hope this helps!!!

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=\stackrel{cm^3}{648\pi }\\ h=8 \end{cases}\implies 648\pi =\pi r^2(8) \\\\\\ \cfrac{648\pi }{8\pi }=r^2\implies 81=r^2\implies \sqrt{81}=r\implies \boxed{9=r}[/tex]

Step-by-step explanation:

Since [tex]x[/tex] varies directly as [tex]\sqrt{y}[/tex] we can write the relation as

[tex]x = k\sqrt{y}[/tex]

where k is the constant of proportionality.

a) To solve for the k, we substitute the given values:

[tex]5 = k\sqrt{13} = k(13)[/tex]

[tex]\Rightarrow k = \dfrac{5}{13}[/tex]

b) The equation relation x and y can be written as

[tex]x = \dfrac{5}{13}\sqrt{y}[/tex]

c) When y = 9,

[tex]x = \dfrac{5}{13}\sqrt{9} = \dfrac{5}{13}(3) = \dfrac{15}{13}[/tex]

Answer:

D

Step-by-step explanation:

F(g) falls between 0 and 49.58

Answer:

QR is equal to 5 since 13 is 5 less that 18. So since 13 was already taken, that leaves 5

Answer:

I beleive the missing value is -3

Step-by-step explanation:

if you plug -3 into the pink box it will give you the result of -5

(anyone is free to correct me)

Step-by-step explanation: 2 × 18 = 36. Then (as there are two numbers) take the square root: √36 = 6. this is for 36

Answer: 13

Step-by-step explanation:√(5 × 36) = 13.416407865

Answer:

63-|-6| = 57

Step-by-step explanation:

63-|-6|

63-6

57

Answer:

57

Step-by-step explanation:

Substitute -6 for variable h.

[tex]63-|(-6)|\\63-6\\57[/tex]

Answer:

Remainder is 93

Step-by-step explanation:

Use synthetic division:

-9 | 1   -1    3

____ -9   90

     1 -10 | 93

Therefore, the remainder is 93

Answer:

Ignore the decimal points then multiply the numbers that remain. Count the number of decimal places in all of the numbers of the question combined. Place the decimal point so that there are the same number of decimal places in the answer and the question.

Step-by-step explanation:

Answer:

20m

Step-by-step explanation:

bc 22m rounded to the closest tenth is 20m.

Hopes This Helps :)

Answer:

about 180 cm

Step-by-step explanation:

13/20 - 1/2

===================================================

Explanation:

Ignore the big X and the shading for now. This figure has 4 rows by 5 columns of rectangles. So there are 4*5 = 20 little rectangles total. Each little rectangle represents 1 brownie.

Then let's say the shaded region represents the amount of brownies Mary receives. We have 13 rectangles shaded in out of the 20 total. This means 13/20 is the fractional amount Mary gets.

She then eats 10 of the 20 total, so she eats 10/20 = 1/2 of the brownies.

Therefore, we end up with the expression 13/20 - 1/2 to represent the fractional amount that Mary still has that she hasn't eaten yet (which is 3/20).

We can say: 13/20 - 1/2 = 13/20 - 10/20 = 3/20

Approximately 65% of the distribution lies within one standard deviation of the mean, which is to say,

P(72 ≤ x ≤ 86) ≈ 0.65

Normal distributions are symmetric, so the percentage of values one standard deviation below the mean is equal to the percentage of values one standard deviation above the mean.

P(72 ≤ x ≤ 79) = P(79 ≤ x ≤ 86)

but since the sum of these make up P(72 ≤ x ≤ 86), we find

P(72 ≤ x ≤ 79) ≈ 0.65/2 = 0.325

Also due to symmetry, exactly half of the distribution lies to either side of the mean; namely,

P(x ≥ 79) = 0.5

It follows that

P(x ≥ 72) = P(72 ≤ x ≤ 79) + P(79 ≤ x)

P(x ≥ 72) = 0.325 + 0.5

P(x ≥ 72) = 0.825 ≈ 0.84

Answer: 0.84

Step-by-step explanation: