The population of a school is 800 students and is increasing at a rate of 2% per year. Use an
exponential function to find the population of the school after 9 years.

Step-by-step explanation:

A=7x+3+13x-7

B=2x+3-3x

P=x+3+2x+2-x-1(hope those are the numbers)

C=?

7x+3+13x-7+2x+3-3x+C=x+3+2x+2-x-1

22x-1+C=2x+4

C=2x+4-22x+1

C=-20x+3

Translating the situation to a mathematical sentence, and solving, we find that the solutions are: [tex]x = 5 \pm 3\sqrt{2}[/tex]

The translation of the problem given is:

[tex](x - 5)^2 + 1 = 19[/tex]

Then, solving:

[tex](x - 5)^2 = 18[/tex]

[tex]x^2 - 10x + 25 = 18[/tex]

[tex]x^2 - 10x + 7 = 0[/tex]

Which is a quadratic equation with [tex]a = 1, b = -10, c = 7[/tex]. Then:

[tex]\Delta = (-10)^{2} - 4(1)(7) = 72[/tex]

[tex]x_{1} = \frac{-(10) + \sqrt{72}}{2}[/tex]

[tex]x_{2} = \frac{-(-10) - \sqrt{72}}{2}[/tex]  

[tex]\sqrt{72} = \sqrt{9 \times 8} = \sqrt{3^2 \times 2^3} = 6\sqrt{2}[/tex], then:

[tex]x_1 = 5 + 3\sqrt{2}[/tex]

[tex]x_2 = 5 - 3\sqrt{2}[/tex]

The solutions are [tex]x = 5 \pm 3\sqrt{2}[/tex]

A similar problem is given at https://brainly.com/question/13094243

Answer:

I think 2? maybe 1.

Step-by-step explanation:

because it becomes 8x+72=72-5x which can then become 3x=0 then x=0/3 and 0/3=0 so x=0

Answer:

33x + 55y

Step-by-step explanation:

1. To simplify this expression, we have to apply the distributive property. To utilize this property means to distribute (or multiply) the quantity outside the parentheses by the quantities inside the parentheses.

Therefore, the answer is 33x + 55y.

Answer:

y = 5x -10

Step-by-step explanation:

The y-intercept is -10, as in, the line on the y-axis is at -10

The slope is 5, as in, the line is moving up 5 and right 1. So it should be 5/1x but you don't need the 1. You could use it, but you don't need to. Here's what it would look like if you did use it:

y = 5/1x - 10

Answer:

642x115=73830

Step-by-step explanation:

does that help?

Answer:

73,830 is your final answer

Step-by-step explanation:

Answer:

6/7

Step-by-step explanation:

i watched a video

Answer: 6,300,000

Step-by-step explanation:

First solve the expressions in the parenthesis using PEMDAS or GERMDAS or any other one it would be simplified to

(2.1 x 100) x (3.0 x 10000)

210 x 30000

6,300,000

Answer:

19

Step-by-step explanation:

(48 - 23) + 6 = 31

23 - 6 = 17

(48 - 23) -6 = 19

The answer for (1) is 31, the answer for (2) is 25, and the answer for (3) is 17.

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

It is given that:

In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.

Based on the information we can draw a Venn diagram:

From the Venn diagram:

A + B = 17 + 6

A + B = 23

B = 6

A + B + C = 48

A = 23 - 6 = 17

C = 48 - 17 - 6

C = 25

The total number of pupils who only study Government = 25

The total number of pupils who study Government = 25 + 6 = 31

The total number of pupils who study Economics only = 17

Thus, the answer for (1) is 31, the answer for (2) is 25, and the answer for (3) is 17.

Learn more about the Venn diagram here:

brainly.com/question/1024798

#SPJ2

Answer:

522250

How to round to the nearest tenth:

Whenever you want to round a number to a particular digit, look only at the digit immediately to its right. For example, if you want to round to the nearest tenth, look to the right of the tenths place: This would be the hundredths place digit. Then, if it is 5 or higher, you get to add one to the tenths digit. If it is 4 or lower, the tenths digit remains the same.

For example, 3.58 can be rounded to 3.6 because the hundredths place digit, 8 is greater than or equal to 5.

3.32 would be rounded to 3.3, because the hundredths place digit, 2, is less than 5.

Answer:

A

Step-by-step explanation:

Answer:

its 2

Step-by-step explanation:

Answer:answer is 13

Step-by-step explanation:

So, 26% multiplied by 78 = 2,028 But wait, we have to estimate, means less it.. So, 2,028 = 13 I have reduced 2,028 by dividing it. Answer = 13

Answer:

302

Step-by-step explanation:

420(grams per sec)x60(seconds in a min) = 25,200(grams per min)

25,200x60(min in an hour) = 1,512,000(grams an hour)

1,512,000/1,000(grams in a kilogram) = 1,512 (kilograms per hour)

1,512/20 (size of bag) = 75.6 (bags filled per hour)

75.6x4(hours elapsed asked by the question) = 302 bags completly filled in 4 hours

Answer:

F=36

Step-by-step explanation:

F= 12 times 9 divided 3 = 36

The question requires calculating the objects mass in kilogram (kg)

The mass in kg of the objects is 4 kg

Given:

F = ma

Where,

F = Force (N)

M = mass (kg)

a = acceleration (m/s²)

If

F = 12-Newton

m = 3 m/s²

a = ?

F = ma

12 = m × 3

12 = 3m

divide both sides by 3

m = 12/3

m = 4 kg

Therefore, the mass in kg of the objects is 4 kg

Read more:

https://brainly.com/question/25250873

Answer:

8(n - 7)

Step-by-step explanation:

let the number be n then the difference of n and 7 is n-7

8 times this difference is

8(n - 7)

Answer: 8(n-7)

Step-by-step explanation:

it should be that <3

Answer:

6

Step-by-step explanation:

[tex] {(3 \sqrt{13}) }^{2} - {9}^{2} = {x}^{2} \\ 9(13) - 81 = {x}^{2} \\ 117 - 81 = {x}^{2} \\ 36 = {x}^{2} \\ x = 6

Use Pythagorean theorem

[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \sf\longmapsto P^2=(3√13)^2-9^2[/tex]

[tex]\\ \sf\longmapsto P^2=117-81[/tex]

[tex]\\ \sf\longmapsto P^2=36[/tex]

[tex]\\ \sf\longmapsto P=6[/tex]

Step-by-step explanation:

28 dollars is the answer

Answer:

The child's weight increase by 66.7%

Answer:

The answer is a

Step-by-step explanation:

have a nice day :)

Answer:

Together, Jill and Sam read 36 pages.

Step-by-step explanation:

9 + (9 * 3)

9 + 27

36

Answer:

27

9x3 is 9+9+9 then its 27

Answer:

Your answer is 28/9 or the last one.

Step-by-step explanation:

28/9 = 3.111111111111.......

Answer:

-20 ft

-5×4= -20

-5ft×4= -20ft

Answer:

Your answer is 28

Answer:

The answer is 28

Step-by-step explanation:

Hope it helps

Answer:ce  6x^2=216

Step-by-step explanation:

since this is a cube, the length, width, and height are the same, so they can all be replaced with one variable, x. When simplified, the equation reads 6x^2=216

Answer:

[tex] \dfrac{4r^6}{st^8} [/tex]

Step-by-step explanation:

[tex] (4r^{-2}st^4)(r^{-4}st^6)^{-2} = [/tex]

Use laws of exponents to simplify the right set of parentheses.

[tex]= (4r^{-2}st^4)(r^{8}s^{-2}t^{-12})[/tex]

Now use the law of exponents for a product of powers with the same base.

[tex] = 4r^6s^{-1}t^{-8} [/tex]

Finally, use the definition of a negative exponent.

[tex] = \dfrac{4r^6}{st^8} [/tex]

Answer:

e0

Step-by-step explanation:

Answer:

is a Step-by-step explanation:

combination

A selection in which order has no importance.A mathematical symbol, or combination of symbols, representing a value, or relation. Example:

2

+

2

=

4

.equation

A mathematical statement that says two expressions have the same value; any number sentence with an

=

.

ordered pair

Set of two numbers in which the order has an agreed-upon meaning, such as the Cartesian coordinates

(

x

,

y

)

, where the first coordinate represents the horizontal position, and the second coordinate represents the vertical position.

solution

1. The value of a variable that makes an equation true.

2. In chemistry, a solution is a homogeneous mixture composed of only one phase.

Answer: 14

Step-by-step explanation:

The s is equal to the change of y/change of x. That means you have to subtract 4 and -10, and the denominator is 9 minus 8. It looks like this:

m=4-(-10)/9-8

m=4+10/9-8

m=14/1

m= 14

Answer:

2+3n

Step-by-step explanation: