In 2002, there were 972 students enrolled at Oakview High School. Since then, the number of students has increased by 1.5% each year.

The Greatest Common Factor (GCF) of 18 and 8 is 2. Using this GCF, 18 - 8 can be factored as 2 × (9 - 4).

(a)  To find the GCF (Greatest Common Factor), we need to determine the largest number that divides both 18 and 8 without leaving a remainder.

Prime factors of 18: 2 × 3 × 3

Prime factors of 8: 2 × 2 × 2

The only common prime factor is 2.

So, the GCF of 18 and 8 is 2.

(b)  We know that 18 - 8 = 10. To factor this expression using the GCF, we rewrite 10 as a product involving the GCF.

Factor out the GCF (2) from 18 - 8:

10 = 2 × (9 - 4)

So, 18 - 8 = 2 × (9 - 4).

Answer: That would be  a massive 1500% increase from 16 to 240

Answer:

d^(j+k)

Step-by-step explanation:

d^j  * d^k

We know that a^b * a^c = a^(b+c)

d^(j+k)

Answer:

The answer is A 1/24

Given that both players have the same capacity, we first calculate the total time in minutes for Kenny's music player by multiplying the number of Kenny's songs (320) by the average length per song (4 minutes). The result is 1280 minutes. We then take this number and divide by the average length of Kylee's songs (5 minutes) to find that Kylee's music player holds 256 songs.

In this problem, we are given that Kenny and Kylee's music players have the same capacity, but Kylee's songs are longer on average. We are asked to find out how many songs Kylee has on her player assuming it is at full capacity. To do this correctly, we first need to understand that we're dealing with an issue of equal music player capacities, but the time a song occupies on each player is different.

Let's calculate the total capacity of the music player in minutes, we multiply the number of Kenny's songs (320) by the average length of each song (4 minutes), giving us 1280 minutes.

Because both players have the same capacity, Kylee's player can also hold 1280 minutes of music. However, since Kylee's songs are longer on average (5 minutes each), she will have fewer songs on her player. So, dividing the total capacity in minutes (1280) by the length of Kylee's songs (5 minutes) gives us 256 songs. That is the number of songs on Kylee's music player.

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Answer:

71.57

Step-by-step explanation:

Tangent = opposite over adjacent (sides)

TanA = ( 9/3 )

A = [tex]Tan^{-1}[/tex](3)

A = 71.57

Answer:

Step-by-step explanation:

slope=6

y-int=0

just plot this on a graph

Answer:

Step-by-step explanation:

As we know that:

=> ∠ABK=∠KBD=x

=> ∠ABD=2x

=> ∠KDB=∠ABD=2x

∠AKB=∠KDB+∠KBD=2x+x=3x

Please have a look at the attached photo

Answer:

y - 4 = 3(x - 0)

y - 4 = 3x - 0

y = 3x + 4

Step-by-step explanation:

So the right answer is 12cm.

Look at the attached picture ⤴

Hope it will help u..

Answer:

12

Step-by-step explanation:

Step-by-step explanation:

In the first week of his running plan,the number of miles covered = 5 miles

Weekly mileage will increase by 3.5 miles every week.

At the end of second week, the number of miles covered = 5 + 3.5 = 8.5

At the end of third week, the number of miles covered = 8.5 + 3.5 = 12

The series is 5, 8.5, 12, ...

Consider this as an AP, where a = 5, d = 3.5

By formula,  

 [tex]a_{n} = a + (n-1)d[/tex]

Substituting the values in the above equation, we get

 [tex]a_{11} = 5 + (10-1) 3.5[/tex]

= 5 +(9)3.5

= 5 + 31.5

=36.5 miles.

Gavin would be expected to run during 36.5 miles during his 11th week of the training plan

Answer:

Frue

Step-by-step explanation:

Answer:56.52

Step-by-step explanation: I just did it

Answer:

A

Step-by-step explanation:

but it prob doesnt help tho

Answer:

B is the correct answer

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Because these angles are the same, we can make an equation, 5x-5=3x+13.

2x - 18  =   2 • (x - 9)

Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    x-9 = 0  

Add  9  to both sides of the equation :  

x = 9

Replace x with 9 in this equation,  3(9) + 13

27+13

=40

Answer:

A. 25/4

Step-by-step explanation:

[tex](5/2)^{2}[/tex] = 25/4

Answer:

1,715

Step-by-step explanation:

100-65=35

x*(.65)=1,115

1,715

Answer:

Out of all four, your answer would be the second choice: Y=0.4X.

Step-by-step explanation:

In order to get the answer, all you have to do this divide any y value you find on the line by the any x-value (as long as they're connected).

In this case, I decided to divide 2 by 5.

2/5 = 0.4.

You can also divide 4 by 10 and 6/15. You'll always get 0.4 as your answer.

P.S. I wish you good luck with the rest of your assignment!!

To find the slope(m), use the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]     And plug in two points on the line. I will use

(-2, 1) = (x₁, y₁)

(4, -6) = (x₂, y₂)

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

[tex]m=\frac{4-(-2)}{-6-1}[/tex] (two negative signs cancel each other out and become positive)

[tex]m=\frac{4+2}{-6-1}[/tex]

[tex]m=\frac{6}{-7}[/tex]

To calculate the slope of the line passing through the points (-8, -2) and (4, 10), use the formula m = (y2 - y1) / (x2 - x1), which gives a slope of 1.

The question pertains to finding the slope of a line that passes through certain points with given x and y coordinates. The slope of a line is the ratio of the change in y (the rise) to the change in x (the run). To calculate it, we can use any two points on the line. Let's use the points (-8, -2) and (4, 10) as an example.

m = (y2 - y1) / (x2 - x1)

m = (10 - (-2)) / (4 - (-8))

m = (12) / (12)

This means for every increase of 1 on the horizontal axis, there is a rise of 1 on the vertical axis.

By substituting the given x-values from the table into the equation y = x² + 2x - 4, we found that a=-4, b=-5, c=4, and d=11.

The values of a, b, c, and d can be found by substituting the given x-values from the table into the formula y = x2 + 2x - 4.

For a, place -2 in the equation so we get y = (-2)2 + 2*(-2) - 4 = 4 - 4 - 4 = -4.

For b, place -1 in the equation, and it results y = (-1)2 + 2*(-1) - 4 = 1 - 2 - 4 = -5.

The third value, c, is computed by substituting 2 for x to obtain y = (2)2 + 2*2 - 4 = 4 + 4 - 4 = 4.

Lastly, for d, the y-value when x is equal to 3 is y = (3)2 + 2*3 - 4 = 9 + 6 - 4 = 11.

So, the solutions are a=-4, b=-5, c=4, and d=11.

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I am pretty sure x is 9 because if you divide 14 by 2 you get 7. 18 divided by 2 is 9.

Answer:

x=9

Step-by-step explanation:

the word similar means the same shape but different sizes. That means that you can think of this problem as ratios. The ratio for the first triangle would be 14:14:18. Since the second ones ratio is 7:7:x we know that the seven was found by dividing 14 by two so we do that with the rest of the of the number to find x you divide 18 by two and get 9. So x=9.

Answer:

$4

Step-by-step explanation:

Answer:

Step-by-step explanation:

79.54*.005=0.3977*100=39.77 or .005*80=.40*100=40

Answer: 12

Step-by-step explanation: (s-2)(180)=1800, s-2=10, s=12

Using the formula for the sum of the interior angles of a polygon, we can determine that a polygon with an interior angle sum of 1800 degrees has 12 sides.

To determine the number of sides a polygon has based on its interior angle sum, we can use the formula for the sum of the interior angles of a polygon, which is (n - 2) times 180 degrees, where n is the number of sides of the polygon. Given that the sum of the interior angles is 1800 degrees, we can set up the equation n - 2 = 1800 / 180, which simplifies to n - 2 = 10. Solving for n gives us n = 12, so the polygon must have 12 sides.

Answer:

Positive

Step-by-step explanation:

Since there are two x-intercepts, -2 and 2, there is a positive discriminant. If the parabola was below the x axis and opened downwards, the discriminant would be negative.

Answer:

positive

Step-by-step explanation:

Answer:

I THINK ITS A ;-;

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

the ordered pair is not a solution to the equation

Given:

The length of the entire rectangle is 10x + 7.

The width of the entire rectangle is 6x.

The length of the unshaded rectangle is 4x - 5.

The width of the unshaded rectangle is 2x.

We need to determine the area of the shaded region of the rectangle.

Area of the entire rectangle:

The area of the entire rectangle can be determined using the formula,

[tex]A=length \times width[/tex]

Substituting the values, we have;

[tex]A_1=(10x+7)(6x)[/tex]

[tex]A_1=60x^2+42x[/tex]

Thus, the area of the entire rectangle is 60x² + 42x

Area of the unshaded rectangle:

The area of the unshaded rectangle can be determined using the formula,

[tex]A=length \times width[/tex]

Substituting the values, we have;

[tex]A_2=(4x-5)(2x)[/tex]

[tex]A_2=8x^2-10x[/tex]

Thus, the area of the unshaded rectangle is 8x² - 10x

Area of the shaded region of the rectangle:

The area of the shaded region of the rectangle can be determined by subtracting the area of the entire rectangle by the area of the unshaded rectangle.

Thus, we have;

[tex]A=A_1-A_2[/tex]

Thus, we have;

[tex]A=60x^2+42x-(8x^2-10x)[/tex]

[tex]A=60x^2+42x-8x^2+10x[/tex]

[tex]A=52x^2+52x[/tex]

[tex]A=52x(x+1)[/tex]

Thus, the area of the shaded region of the rectangle is 52x(x + 1)

Answer:

Quadratic

Step-by-step explanation:

Given function is a quadratic function.

There are many key features in a quadratic graph such as the zeroes (x-intercepts, also known as the roots), y-intercept, axis of symmetry, and the vertex.

The graph of a quadratic function is a parabola, which has several important properties:

Vertex: The vertex is the point where the parabola changes direction. It is the highest or lowest point on the parabola, depending on whether the parabola opens upward or downward, respectively.

Axis of symmetry: The axis of symmetry is a vertical line that divides the parabola into two symmetrical halves. It passes through the vertex and is perpendicular to the directrix.

Directrix: The directrix is a horizontal line that is located at a distance equal to the distance between the vertex and the focus. It is perpendicular to the axis of symmetry and reflects the parabola onto itself.

Focus: The focus is a point on the axis of symmetry that is located at a distance equal.

As we can see that given graph has two roots and it is symmetric to the line parallel to the y-axis.

From the graph we know this is a quadratic function { a parabola with respect to symmetry and axis symmetry}

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Answer:

Option D)

The area below the standardized test score is 0.8413

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 85

Standard Deviation, σ = 5

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]

P(score is below 90)

[tex]P( x < 90) = P( z < \displaystyle\frac{90 - 85}{5}) = P(z < 1)[/tex]

Calculation the value from standard normal z table, we have,  

[tex]P(x < 90) =0.8413 = 84.13\%[/tex]

Thus, the correct answer is

Option D)

The area below the standardized test score is 0.8413

Answer:

[tex]\large \boxed{f(x) = 10(2)^{ x}}[/tex]

Step-by-step explanation:

Write a table giving the number of cattails for the first few months

[tex]\begin{array}{lr}\mathbf{x} & \mathbf{f(x)}\qquad \qquad\quad \\0 & 10 = 2^{0}(10) = 10(2)^{0}\\1 & 2(10) = 2^{1}(10)= 10(2)^{1} \\2 & 2\times2(10) = 2^{2}(10)= 10(2)^{2} \\3 & 2\times 2^{2}(10) = 2^{3}(10)= 10(2)^{3}\\4 & 2\times 2^{3}(10) = 2^{4}(10)= 10(2)^{4}\\\end{array}\\\text{The pattern appears to be $\large \boxed{\mathbf{f(x) = 10(2)^{\mathbf{x}}}}$}[/tex]

Answer:

2/3

Step-by-step explanation: