The population of a city increases by 2.7% per year. If this year's population is
197,000, what will next year's population be?

Answer:

24.01

Step-by-step explanation:

The question is incomplete the complete question is

Evaluate (4/9) to the power of 2.

We have given that,

(4/9)^2

Apply the product rule to 4/9.

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]

[tex]=\frac{4^2}{9^2}[/tex]

[tex]4^2=16[/tex]

[tex]=\frac{16}{9^2}[/tex]

[tex]9^2=81[/tex]

[tex]=\frac{16}{81}[/tex]

Therefore the (4/9) to the power of 2 is equal to [tex]\frac{16}{81}[/tex].

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Answer:

25y-3z-8

Step-by-step explanation:

happy to help

Answer:

-z-2z-10y+15y+2

-3z+5y+2

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

(x+1)^2+7

Step-by-step explanation:

khan academy

Answer:

[tex]y=\frac{-2}{3} x+1[/tex]

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex]. Here's what the variables mean:

y = the y-coordinate

m = the slope

x = the x=coordinate

b = the y-intercept (what y is equal to when the line crosses the y-axis)

First, we need to calculate the slope of the line (m). The slope is the [tex]\frac{rise}{run}[/tex] of the line, or in other words, the change in y over the change in x. We can find this by just looking at the graph, between the two given points. For 3 spaces the line travels to the right, it travels downward 2 spaces. Therefore, the slope of the line is [tex]\frac{-2}{3}[/tex].

We can also calculate this using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] by using two points that fall on the line, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. Here, we can use the points (-3,3) and (0,1).

[tex]\frac{y_2-y_1}{x_2-x_1}\\\frac{1-3}{0-(-3)}[/tex]

Two negatives make a positive

[tex]=\frac{1-3}{0+3}\\=\frac{-2}{3}[/tex]

Then, we need to find the y-intercept of the line (b). We can find this by, again, looking at the graph. The line crosses the y-axis when y is equal to 1, so the y-intercept of the line is 1.

Now, we plug our calculated values back into the original equation:

[tex]y=mx+b\\y=\frac{-2}{3} x+1[/tex]

I hope this helps!

Given:

Measure of exterior angle = 164°

The measure of opposite interior angles are x° and 53°.

To find:

The value of x.

Solution:

According to the Exterior Angle Theorem, in a triangle the measure of an exterior angles is always equal to the sum of measures of two opposite interior angles.

Using Exterior Angle Theorem, we get

[tex]x^\circ+53^\circ=164^\circ[/tex]

[tex]x^\circ=164^\circ-53^\circ[/tex]

[tex]x^\circ=111^\circ[/tex]

[tex]x=111[/tex]

Therefore, the value of x is 111.

Answer: No

Step-by-step explanation:

2.7 + 3.5 is not greater than 9.8.

Answer:

no It cant

Step-by-step explanation:

2.7 + 3.5 is not greater than 9.8.

Step-by-step explanation:

the answer from the graph is:

(2 , 3)

Answer:

The surface area is 143m

Step-by-step explanation:

(at least I think)

Answer:

Use the equation 500x0.04x20 and then 500x20 and add the sums up and get 10,400 i believe is im wrong sorry :/

$900 is the total amount of money she has after 20 years.

Simple interest is, by definition, the amount of interest paid on a specific principal sum of money when an interest rate is applied. Compound interest, on the other hand, is the interest that is computed using both the principal and the interest that has accumulated over the preceding period.

From the formula of simple interest A = P(1 + rt)

Where A = amount earned

P = principal amount

r = rate of interest

t = time

In our case

P = 500

r = 4%

t = 20

Thus,

Amount earned after 20 years = 500(1 + 4*20/100)

Amount earned after 20 years = 500(1 + 4/5)

Amount earned after 20 years = 900

therefore, the total amount of money she has after 20 years is $900.

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Answer:

y= -3x - 1

Step-by-step explanation:

The graph intercepts y at -3 and the slope is -1

Answer:

It's the 3rd answer. y = -x - 3

Step-by-step explanation:

Answer:

s=16

Step-by-step explanation:

P=4s

Put P=64

64=4s

s=16

Answer:

y = x-3 is the equation

Step-by-step explanation:

If two lines are perpendicular, the product of their slopes is -1

The general equation form of a straight line is;

y = mx + b

Fro the equation;

y = -1x + 2

The slope is -1

So the equation of the perpendicular line is as follows;

-1 * m = -1

m = 1

so we can use the point-slope equation form

That would be:

y-y1 = m(x-x1)

y-3 = 1(x-6)

y-3 = x-6

y = x-6+3

y = x-3

Answer:

c. goemon does not trust his rescuers.

Step-by-step explanation:

goemon said it might be poison.

he was cautious about eating the food.

Answer:-13/3

Step-by-step explanation:

Answer:

C, 40%

Step-by-step explanation:

0.15 + 0.25 is 0.4 and in percentage that is 40%

Answer:

c

Step-by-step explanation:

Answer:

Given that he length of a 2-inch-long thorn was measured by Sandrine to be 1.9 inches long. The measurement that is more precise among the choices given is:

2 inches.

This is because it is the closest approximation of the length compared to the rest of the approximations.

Step-by-step explanation: can i have brainliest pls

Answer:

I'm note sure but I think it's the first one

Answer:

(a^7)/64

Step-by-step explanation:

1/(8×8) × a^7=1/64 × a^7

Answer:

1) is 34

Step-by-step explanation:

Answer:

3:20

Step-by-step explanation:

Answer:

4:18

hope it helps.....

Answer:

64

Step-by-step explanation:

Answer:

5 T

Step-by-step explanation:

It is the only one remotely close to the weight of a pick-up truck.

Answer:

5*-2 = 1/25

5*3 = 125

2*-4 = 1/16

2*5 = 32

Answer:

Linear

Step-by-step explanation:

5y=7x+6 is linear equation in two variables.

Answer:

7

Step-by-step explanation:

The greatest common factor is found by listing the factors of both numbers, then finding what the biggest number is that is common.

Hope I helped!! :)

Brainliest?

Have a good night/day/afternoon!!!

The greatest common factor of 14 and 49 is 7.

To find the greatest common factor (GCF) of 14 and 49, we can determine the factors of both numbers and identify their largest common factor.

The factors of 14 are 1, 2, 7, and 14.

The factors of 49 are 1, 7, and 49.

The common factors of 14 and 49 are 1 and 7.

Since we are looking for the greatest common factor, we can conclude that the GCF of 14 and 49 is 7.

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Answer:

The correct answer is Option C:

{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}

Step-by-step explanation:

Dot plots are one of the tools that are used to represent data in statistics and mathematics.

As the dot plot is given, we can make the data set from the plot.

As we can see that there are 6 dots above the value 140 that means 140 occurs 6 times in the data set.

Similarly, 165 occurs 5 times, 170 two times and 180 four times.

So the dataset will be:

{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}

Answer:

2.3 and 1.8

Step-by-step explanation: