Please answer the question on the image.

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:

c) i^337 is equivalent to the expression i^137

Answer:

I'd swap with one on the table (the left one) but with my luck it would be a sword made of rubber

Answer:

-4x - 30 = -26   Inverse property of addition

Step-by-step explanation:

To move the variable to the left you would subtract the 2x from both sides and you'll be left with -4x - 30 = -26. Adding the negative of a number from the same number (ex. 30 + (-30)) is called inverse property of addition. which we did here but with 2x.

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:

Step-by-step explanation:

1 + 3 = 4

so find the point 1/4 of the way from (-1, 2) to (7, 8)

x coordinate

Δx = ¼(7 - (-1)) = 2

x = x₀ + Δx

x = -1 + 2 = 1

y coordinate

Δy =  ¼(8 - 2) = 1½

y = y₀ + Δy

y = 2 + 1½ = 3½

(1, 3½)

Answer:

2

Step-by-step explanation:

Answer:

2000.

Step-by-step explanation:

First, calculate both sides. 2.5x10^3= 2500 and 5x10^6=5000000

then divide 5000000/2500 = 2000

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:

5^40

Step-by-step explanation:

Step 1: Multiply the exponents within the parentheses with the exponent outside of the parentheses.

Step 2: Based on the laws of exponents, add the exponents together.

Therefore, the answer is 5^40.

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:

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

Answer:

1/28

Step-by-step explanation:

Answer:

it is (3/8)( -5/7)(-1/4)

if ot it should be the one that is all postitive

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!!!

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:

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:

[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]

Answer:

I think it is undefined.

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:

Step-by-step explanation:

total of 15(36) = 540 person•hours was used

540 / 30 = 18 people

18 - 15 = 3 people need to be added

Answer:

55

55x11 = 55

(Meeting character limit)

Answer:

I believe it would be 605$

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

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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:

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:

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:

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:

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.

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

Answer:

x = 7

Step-by-step explanation:

3x - 8 = 13,

1st, add 8 to the other side. Therefore 8 + 13 which is 21.

2nd, divide 3 from 3x and 3 from 21.

3rd you receive the answer which is 7