A high school has a population of 2,035 students and is increasing by 3% each year.
Write an exponential function to model the student population in terms of the number of years from now.


Predict the number of students that will be in the school after five years. Show all of your work.

On solving the provided question, we can say that the quadratic equation is  y = 5x² - 9x + 3 this quadratic equation can not factorized further

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

the quadratic equation is

y = 5x² - 9x + 3

this quadratic equation can not factorized further

To know more about quadratic equation visit:

https://brainly.com/question/30098550

#SPJ1

In mathematics, a plane is a two-dimensional surface that can be enlarged indefinitely. In order to make a plane we need at least 3 points.

In order to make a plane we need at least 3 points. Let A, B and C are three points which can be defined by two particular vector AB and AC.

As the two vectors is located on the plane, we can use their cross product to define a normal vector on the plane.

As we see a triangle which is a two-dimensional geometric figure that is developed based on 3 points. Triangle is the smallest polygon. The other polygon needs more point for creation.

Therefore, it is proved that minimum three points is mandatory for plane formation.

To learn more about plane visit:

brainly.com/question/1674905

#SPJ4

The number of children that swam in the public pool that day is 194

and the number of adult that swam in the public pool that day is 117

Let x represent the number of children that swam in the public pool that day.

Let y represent the number of adult that swam in the public pool that day.

On a certain hot summer day, 311 people used the public swimming pool. This means that

x + y = 311

The daily prices are 1.50 for children and 2.00 for adults. The receipts for admission totaled to $525. This means that

$1.50x + $2.00y = $525 - - - - - - - -1

Substituting x = 311 - y into equation 1, it becomes

1.50(311 - y) + 2.00y = 525

466.5 - 1.50y + 2.00y = 525

0.5 y = 58.5

y = 117

Substituting y = 117 into x = 311 - y, it becomes

x = 311 - 117

x = 194

Hence , the number of children that swam in the public pool that day is 194 and the number of adult that swam in the public pool that day is 117.

Learn more about equations at:

https://brainly.com/question/2972832

#SPJ1

Noah needs 108 cubes which is 4 times more than Lin's 27 cubes.

Noah would need more cubes to fill the 1 1/2 inch cube because the cubes he is using have a smaller edge length than the cubes Lin is using. The larger the edge length of the cubes being used, the fewer number of cubes needed to fill a given space.

To see this, you can calculate the volume of the cube being filled by both Lin and Noah. The cube that Lin is filling has a volume of (1.5)^3 = 3.375 cubic inches. The cubes Lin is using have a volume of (0.5)^3 = 0.125 cubic inches. So, Lin needs 3.375/0.125 = 27 cubes to fill the 1.5 inch cube.

The cube that Noah is filling also has a volume of (1.5)^3 = 3.375 cubic inches. The cubes Noah is using have a volume of (0.25)^3 = 0.03125 cubic inches. So, Noah needs 3.375/0.03125 = 108 cubes to fill the 1.5 inch cube.

As we can see, Noah needs 108 cubes which is 4 times more than Lin's 27 cubes.

For more information about cubes visit: brainly.com/question/28134860

#SPJ4

Answer:

Equation is 7x^2 – 5x + 2

comparing with a,b and c

a = 7

b= –5

c = 2

Answer : if each topping is 1.25 then multiply that by 3 because there's 3 toppings on the pizza and if the total was 16.25 the original price of the pizza is 12.5. I hope this was the answer you were looking for a good luck :)

Step-by-step explanation:

Answer:

10/33 there 33 chocolates in the bag but only 10 are dark chocolate

Step-by-step explanation:

Answer:

2 (5×9)

Step-by-step explanation:

the product of 5 and 9 is DOUBLED. so the calculation will be 2 times 5×9

Answer:

8 boxes

Step-by-step explanation:

20 + 2 = 22

22 / 2.25 =

8.8

Answer:

Yes, it represents direct variation.

The constant of variation is 2/3.

Step-by-step explanation:

Rearrange the equation to put it into y = kx form, which is the direct variation equation

3y - 7 = 2x - 7

Add 7 to both sides:

3y - 7 = 2x - 7

3y = 2x

Divide each side by 3:

y = 2/3x

So, the equation is y = 2/3x, which represents direct variation because it is in the form y = kx.

In y = kx, k is the constant of variation. Since the equation is y = 2/3x, k = 2/3.

So, the constant of variation is 2/3.

180-33

=147

so X= 147

FROM CAMBRIDGE UNIVERSITY!

Answer:

the answer is 108 the last choice D

If pesos had it would be so pesos have 169.25 dollars left 200-30.75=169.25

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer: x=−1 and y=1.

Step-by-step explanation: −3x−6y=−3;5x+5y=0

5(−3x−6y=−3)

6(5x+5y=0)

−15x−30y=−15

30x+30y=0

15x /15 = −15 /15

x=−1

−3x−6y=−3

(−3)(−1)−6y=−3

−6y+3+−3=−3+−3

−6y /−6 = −6 /−6

y=1

x=−1 and y=1

Answer:

$140

Step-by-step explanation:

First, we multiply the amount of tires by the price of the tire. $55 * 2 = $110.

Second, we multiply the amount of hours by the price of an hour of labor. They take half an hour, so we multiply $30 by 1/2.

1/2 * $30 = $15.

Finally, we add the cost of the tires and the labor together.

$110 + $15 = $125

Hope this helps!

Answer:

159 I think

Step-by-step explanation:

Answer: 26

Step-by-step explanation:

In the picture, we are given a right triangle. Based on that, we can use the Pythagorean Theorem, which helps us find the missing side length with the formula [tex]a^2+b^2=c^2[/tex].

a and b represent the legs, and c is the hypotenuse. The hypotenuse is the longest side of the right triangle. It is also the side that is diagonal from the right angle.

In the picture, we are presented with the legs. So, we can plug in the legs into a and b to solve for c.

[tex]a^2+b^2=c^2[/tex]               [plug in a and b]

[tex]10^2+24^2=c^2[/tex]            [exponent]

[tex]100+576=c^2[/tex]            [add]

[tex]676=c^2[/tex]                      [square root both sides]

[tex]c=26[/tex]

This tells us that the length of the third side is 26.

The total cost is £2033.

The field is in the shape of a semicircle, so the radius of the field is half the diameter or 50 m / 2 = 25 m.

The circumference of a circle is given by 2 * pi * r, where r is the radius of the circle.

So the circumference of the semicircle is 2 * pi * 25 = 50 * pi m.

The cost of the fence is £29.86 per meter. So the cost of the fence is 50 * pi * £29.86 = £1493.

Jim takes three days to build the fence and charges £180 per day.

So the cost for the labour is 3 * £180 = £540.

Adding the cost of the labour to the cost of the fence: £1493 + £540 = £2033

So the total cost is £2033.

To learn more about the circumference, visit:

brainly.com/question/28757341

#SPJ4

Answer:

5 yds

Step-by-step explanation:

Answer:

10 because 11*5*10=550

Step-by-step explanation:

mrk me brainliest plzzzzzz

It is not possible to mix ‘greater than’ and ‘less than’ inequality signs in the same expression

Solve the inequities:

k^2-7k+12. 25>0

2. 25y^2-3y+1<0

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

It is not possible to mix ‘greater than’ and ‘less than’ inequality signs in the same expression

So Whenever you find two conclusions which are false Just check for these two symbols . In Most of the case where two conclusions are false and these two signs are not there respectively than that statement, you can call it as Neither Nor.

To know more about inequalities visit brainly.com/question/28823603

#SPJ4

Answer:

nah frl

Step-by-step explanation:

As a result, the response to the query that the area provided With interiors of 32 and 44 square feet, respectively, the future complex will consist of a 60.1-foot circular.

Finding out how big a rectangle or rectangle is is the simplest (and most used) method. Divide the width by the altitude to find the area of a rectangle. Since all sides of a square are equal in length, determining the area of unit only requires knowledge of the size of one of its sides.

Here,

Here is the formula for area:

The area formula is length times width.

=> 8 × 4

= >32ft²

Following space will be on the trapezoid:

=>(14 + 18)/2 × 4

=> 44ft²

By multiplying the measurement by two, the perimeter will indeed be determined. Knowing this,

= 2(8 + 4) + (14 + 8 + 4 + 5.6 + 4.5)

= 24 + 36.1

= 60.1 ft

In light of this, the answer to the area-related question is

For the specified polygon, 60.1 square feet.

To know more about area , visit

brainly.com/question/27683633

#SPJ1

Answer:

r < 6

Step-by-step explanation:

[tex] \implies \dfrac{1}{2}r + 3 < 6[/tex]

[tex] \implies \dfrac{r}{2} < 6 - 3[/tex]

[tex] \implies \dfrac{r}{2} < 3[/tex]

[tex] \implies r < 3 \: \cdot \: 2[/tex]

[tex] \implies \underline{ r < 6}[/tex]

Answer:

Option B. 2π inches

Step-by-step explanation:

From the question given above, the following data were obtained:

Radius (r) = 6 in

Centre angle (θ) = 60 °

Length of arc (L) =?

The length of arc can be obtained as follow:

L = 2πr × (θ/360°)

L = 2 × 6 × π × (60/360)

L = 12π × 1/6

L = 2π in

Thus, the length of the arc is 2π in.

Answer: No Possible Triangles

Step-by-step explanation: DeltaMath

Just hit the enter button, don’t type anything in the box or else it will mark it wrong.

The initial amount is 610 and the growth factor is 7.54.

What is an exponential function?

An exponential function has the form f(x) = a*b^x, where a is the initial amount, also called the y-intercept, and b is the growth factor.

In the function f(X) = 610 • 7.54, the initial amount is a = 610, and the growth factor is b = 7.54.

Hence, the initial amount is 610 and the growth factor is 7.54.

To learn more about the exponential function, visit:

https://brainly.com/question/2456547

#SPJ1

The initial amount is 610 and the growth factor is 7.54.

An exponential function has the form f(x) = a*b^x, where a is the initial amount, also called the y-intercept, and b is the growth factor.

A growth factor is a naturally occurring substance that stimulates a cell to grow, divide, and differentiate. Growth factors are typically proteins or peptides that bind to specific receptors on the surface of cells, triggering signaling pathways that lead to cell proliferation and survival.

In the function f(X) = 610 • 7.54, the initial amount is a = 610, and the growth factor is b = 7.54.

Hence, the initial amount is 610 and the growth factor is 7.54.

To learn more about the exponential function, visit:

brainly.com/question/2456547

#SPJ1

Answer:

C. Write the numbers 1 through 6 on slips of paper. Select one slip at random.

Step-by-step explanation:

beacuse everyone will pick up a random number :3

Answer:

use a calculator to generate a random decimal between 1 and 6 and use the integer part.