Slope intercept form that passes though the point (-2,-3) and has a slope of 5/2

The high school is adding 50 spaces to its parking lot. Knowing that a space is 8 ft by 12 ft, which of the following best estimates the area of the new parking lot (ignore driving lanes) is B. 5,000 ft².

To find the area of the new parking lot, we need to multiply the length and width of each space and then multiply that by the number of spaces being added. Each space is 8 ft by 12 ft, so the area of each space is 96 ft². Since 50 spaces are being added, we can multiply 96 ft² by 50 to get the total area of the new parking lot, which is 4,800 ft².

Therefore, the best estimate for the area of the new parking lot is B. 5,000 ft², which is the closest option provided in the question.


To find the area of the new parking lot, you first need to determine the area of a single parking space. Each space measures 8 ft by 12 ft, so its area is 8 ft × 12 ft = 96 ft². Since there are 50 spaces being added, you can multiply the area of a single space by the number of spaces to find the total area: 96 ft² × 50 = 4,800 ft². However, since the question asks for the best estimate, you can round this number to the nearest thousand, which is 5,000 ft².

The best estimate for the area of the new parking lot is 5,000 ft².

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Graphs are used to represent real life models

To calculate the diameter, we substitute the value of x in the function,

From the complete question (see attachment for graph), we have the following observations

The above statement means that:

y is a function of x

So, when the depth is known (i.e. the value of x is known)

We simply substitute this in the function, to calculate the diameter

Take for instance:

\(\mathbf{x = 8}\)

The diameter of the bowl would be:

\(\mathbf{y = 0.32x^2 - 1.6x + 2}\)

Substitute 8 for x

\(\mathbf{y = 0.32\times 8^2 - 1.6 \times 8 + 2}\)

\(\mathbf{y = 20.48 - 12.8 + 2}\)

\(\mathbf{y = 9.68}\)

The above equation means that:

The diameter of the bowl is 9.68, when the depth of the bowl is 8

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Answer:

First find the vertex.

- Since the vertex is on the​ x-axis, the top of the bowl is a horizontal line with y equal to the​ bowl's depth.

- Find the diameter by substituting the depth for y in the original equation and solving for​ x

- Then find the positive difference between the two solutions.

Given, h(t)= -16t²+80t, represents the height of the ball at t seconds. Let's find the time taken by the ball to reach its maximum height. To find the maximum height, we need to complete the square.

The general form of a quadratic equation, ax²+bx+c, is given by, `a(x - h)² + k`. Where, h and k are the coordinates of the vertex. So, the height of the ball is given by, `h(t)= -16t²+80t

= -16(t²-5t)`

Completing the square of (t² - 5t), we get: `h(t)=-16(t²-5t+6.25)+100`.

Therefore, `h(t)=-16(t-2.5)²+100`.

Comparing the equation with the standard equation of a parabola `y = a(x - h)² + k`.We can see that the vertex of the parabola is `(2.5, 100)`. The height of the ball reaches its maximum at the vertex, hence the time taken by the ball to reach the maximum height is `2.5` seconds.

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Answer:

x = -2                       x = -32/3

Step-by-step explanation:

| 3x+19 | =13

There are two solutions, one positive and one negative

3x+19 = 13      3x+19 = -13

Subtract 19

3x+19-19 = 13-19      3x+19 -19 =-13-19

3x = -6                     3x = -32

Divide by 3

3x/3 = -6/3             3x/3 = -32/3

x = -2                       x = -32/3

Answer:

it's 0

Step-by-step explanation:

So the inverse of the function F(x) = cube root of (x/9) - 4 is d) x = 9*(y^3 + 4).

To find the inverse of the function F(x), we need to switch the roles of x and y in the original function. This means that we need to solve for x in terms of y in the equation F(x) = y.

The original function is F(x) = cube root of (x/9) - 4. To solve for x in terms of y, we can start by substituting y for F(x):

y = cube root of (x/9) - 4

We can then cube both sides of the equation to get rid of the cube root:

y^3 = x/9 - 4

Then we can add 4 to both sides to isolate the x term:

y^3 + 4 = x/9

Finally, we can multiply both sides by 9 to solve for x:

9*(y^3 + 4) = x

This gives us the inverse function: x = 9*(y^3 + 4).

So the inverse of the function F(x) = cube root of (x/9) - 4 is x = 9*(y^3 + 4).

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Answer:

x=16

Step-by-step explanation:

if the lines were parallel then that means that (7x+2) = (8x-14) because they are corresponding angles. just isolate the varible so subtract 7x from both sides and add 14 to both sides. and they you get x=16

Answer:

Length = 4x - 5

Step-by-step explanation:

A = length x width

Answer:

294.84 ft²

Step-by-step explanation:

A = (B + b)h/2

A = (28.5 ft + 18.3 ft)(12.6 ft)/2

A = 294.84 ft²

Answer: 294.84 ft^2

Step-by-step explanation:

Area of trapezoid=((a+b)/2)*h

here

a=28.5 ft

b=18.3 ft

h=12.7 ft

Area=((28.5+18.3)/2)*(12.7)

Area=294.84 ft^2

The given quadratic equation is y=x2 −2x. When we substitute different values of x in the equation y=x2−2x then value of y changes accordingly and we obtain table from table we can draw a graph.

When x=0 then

y=(0)2−(2×0)=0−0=0

The point is (0,0)

When x=1 then

y=(1) 2−(2×1)=1−2=−1

The point is (1,−1)

When x=−1 then

y=(−1)2−(2×−1)=1+2=3

The point is (−1,3)

Hence, the coordinates are (0,0), (1,−1) and (−1,3) and the graph of the quadratic equation y=x2−2x is shown in the image.

Table:

x       0      1      -1

y       0     -1       3

Graph:

Graph is in the image uploaded.

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Using the slope concept, it is found that:

In this problem, the vertical change is the altitude of 10,000 feet.

The minimum horizontal distance is with an angle of 35º, hence:

\(\tan{35^{\circ}} = \frac{10000}{d}\)

\(d = \frac{10000}{\tan{35^{\circ}}}\)

\(d = 14281.5\)

The maximum horizontal distance is with an angle of 33º, hence:

\(\tan{33^{\circ}} = \frac{10000}{d}\)

\(d = \frac{10000}{\tan{33^{\circ}}}\)

\(d = 15398.6\)

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Answer:

I think is the first option but if not sorry:(

Step-by-step explanation:

Yes, there are experts here in data forecasting methods who can help you with the topics you've mentioned including time series (holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series.

Below are brief explanations of each of these terms:

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The length of the contour γ is 40π. To calculate the length of the contour γ, we need to calculate the length of each lap separately and then add them together.

The circle |z-2i|=4 has a radius of 4 and is centered at (0,2). For each counterclockwise lap, we can parameterize the circle using z = 4e^(it) + 2i, where t ranges from 0 to 2π. The length of one lap is then given by integrating the absolute value of the derivative of this parameterization over the interval [0,2π]:
∫₀^{2π} |dz/dt| dt = ∫₀^{2π} |4ie^(it)| dt = ∫₀^{2π} 4 dt = 8π
Therefore, the length of three counterclockwise laps is 3 times this value, or 24π. For the clockwise lap, we can parameterize the circle using z = 4e^(-it) + 2i, where t ranges from 0 to 2π. The length of this lap is given by:
∫₀^{2π} |dz/dt| dt = ∫₀^{2π} |-4ie^(-it)| dt = ∫₀^{2π} 4 dt = 8π
Therefore, the length of the clockwise lap is also 8π. Adding the lengths of the four laps together, we get:
24π + 8π + 8π = 40π

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Answer:

Where is the question?

Step-by-step explanation:

I don't see a question do you??

Answer:

A. (5, 13)

Step-by-step explanation:

The function f(x) = (x - 4) + 5 is the translation of the function f(x) 4 units right and 5 units up and the rule is:

(x, y) → (x + 4, y + 5)

Apply the rule to the given point to get:

(1, 8) → (1 + 4, 8 + 5) = ( 5, 13)

Correct choice is A

The known solutions to f(x) = g(x) are given as follow:

x = 1 and x = 9.

When a system of equations is plotted on graph, the solutions are the intersection points of all the functions that compose the system.

At these intersections point, the functions have the same numeric value, which are the points looked at to find the solution on a table.

Hence the solutions are given as follows:

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Answer:

They are

Step-by-step explanation:

AA congruency theorem

AA is angle angle

The picture gives (( so that measns that (( and (( are congruent angles. The same with the (, it. is congruent to the other (. If that makes any sense, sorry my explantions are not always great.

Answer:

0.50

Step-by-step explanation:

The mean = 3 + 5 + 6+ 3 +2+ 2+ 1+0+ 0+ 4+ 7+ 4+ 5 + 5 + 6) / 15

= 53/15

= 3.533

Difference of values from the mean:

n     n - 3.533  (Absolute value)

3         0.533

3         0.533

6         2.467

3         0.533

2          1.533

2          1.533

1           2.533

0          3.533

0          3.533

4           0.467

4           0.467

5            1.467

5            1.467

6            2.567

7             3.467

Totals:  

53         26.533

So the M.A.D. = 26.533 / 53 =  0.50  

Answer:

Step-by-step explanation:

first plug 362.50 in for y since that is our office supply expense

362.50 = 10.50x + 100

then we solve for x

362.50 = 10.50x + 100

262.50 = 10.50x

25 = x

so 25 are working in the office that month

hope this helps <3

In three-dimensional graphing, we use three axes (x, y, and z) to divide the space into eight sections or intervals.(option d)

In three-dimensional graphing, we use three axes to represent the three dimensions: x, y, and z. These axes are typically labeled as x-axis, y-axis, and z-axis, respectively. The x-axis represents the horizontal direction, the y-axis represents the vertical direction, and the z-axis represents the depth or distance from the viewer's perspective.

When we combine these three axes, they create a three-dimensional space or a graph. Each axis is perpendicular to the other two axes, forming a right-handed coordinate system. The x, y, and z axes intersect at a point called the origin, usually denoted as (0, 0, 0). The origin serves as the reference point from which we measure distances and positions in three-dimensional space.

Each axis is divided into smaller sections or intervals, just like the number line on a two-dimensional graph. These divisions, also known as units or ticks, help us locate and label specific points or positions in the three-dimensional space accurately. The number of sections or intervals on each axis depends on the scale or range of values being represented.

The correct answer to the question is D) 3,8, as there are three axes (x, y, and z) and each axis is divided into eight sections or intervals, depending on the scale or range being represented.

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The statistics z is -1.878 and the p value is 0.0302

Given,

Number of random sample selected, n = 6967

Number of surveys returned, x = 1331

Estimated proportion of return rate;

p = 1331/6967 = 0.192

Significance level, ∝ = 0.01

z would represent the statistic

We investigate the assertion that the return rate is less than 20%, and the following hypotheses are tested:

Null hypothesis, p₀ ≥ 0.2

Alternative hypothesis, p₀ < 0.2

The statistics, z = (p - p₀) / √(p₀(1 - p₀)/n)

That is,

z = (0.191 - 0.2) / √(0.2(1 - 0.2)/6967) = -1.878

Using the alternative hypothesis and the following probability, we can now get the p value:

p value  = p(z < - 1.878) = 0.0302

We fail to reject the null hypothesis when the p value exceeds the significance level of 0.01 and there is insufficient evidence to support the conclusion that the return rate is less than 20% at 1% of significance.

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Answer:

Step-by-step explanation:

2 is the largest shared factor.  Thus, the given 14a + 8 = 2(7a + 4).

The probability density function (pdf) of the largest of the five waiting times is given by: f(x) = 4/10^5 * x^4, where x is a real number between 0 and 10. The expected value of the largest of the five waiting times is 8.33 minutes.

The pdf of the largest of the five waiting times can be found by considering the order statistics of the waiting times. The order statistics are the values of the waiting times sorted from smallest to largest.

In this case, the order statistics are X1, X2, X3, X4, and X5. The largest of the five waiting times is X5.

The pdf of X5 can be found by considering the cumulative distribution function (cdf) of X5. The cdf of X5 is given by: F(x) = (x/10)^5

where x is a real number between 0 and 10. The pdf of X5 can be found by differentiating the cdf of X5. This gives: f(x) = 4/10^5 * x^4

The expected value of X5 can be found by integrating the pdf of X5 from 0 to 10. This gives: E[X5] = ∫_0^10 4/10^5 * x^4 dx = 8.33

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Answer:

2058

Step-by-step explanation:

every 5 years is 0.53 so you times that by 11 to get 7.61 and then half of .53 is .265 and round that up you get three more years so 2058 is the answer.

Answer:

refer to the pic attached for steps

Answer:

6x²-26x+31

Step-by-step explanation:

(x²-3x+5)(2x-7)​

=2x³-7x²-6x²+21x+10x-35

=2x³-13x²+31x-35

Now to differentiate:

dx=6x²-26x+31

You would need a total of 60 participants to have 15 participants in each experimental condition.

In a completely between-subjects experiment with two variables, if there are two levels of each independent variable and you want to have 15 participants in each experimental condition, you would need a total of 15 participants in each combination of levels.

Let's break it down step by step:

Number of levels per variable: 2

Number of participants per level: 15

Total number of conditions: 2 levels * 2 levels = 4

To calculate the total number of participants, you multiply the number of participants per condition by the total number of conditions:

Total participants = Number of participants per condition * Total number of conditions

Total participants = 15 * 4

Total participants = 60

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The solution to the integral I = ∫ (6-5x)/√x dx is (3x - 5x^(3/2))/3 + C. It's worth noting that the square root in the denominator makes this an improper integral because it is not defined at x=0.

The given integral is ∫ (6-5x)/√x dx. We can evaluate this integral by using the substitution method. Let u = √x, then we have x = u² and dx = 2u du. Substituting these values in the integral, we get:

∫ (6-5x)/√x dx = ∫ (6-5u²) 2u du

              = 2 ∫ (6u - 5u³) du

              = [u²(3u²-5)] + C, where C is the constant of integration

              = (3x - 5x^(3/2))/3 + C

Therefore, the solution to the integral I = ∫ (6-5x)/√x dx is (3x - 5x^(3/2))/3 + C. It's worth noting that the square root in the denominator makes this an improper integral because it is not defined at x=0. Thus, we need to make sure that the limits of integration do not include 0, or else the integral would diverge.

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