Find the slope of the line y=5x+12.
Write your answer as an integer or as a simplified proper or improper fraction.

A ratio of the form:

Can be written as:

Therefore:

Answer:

20%

Step-by-step explanation:

Answer:

2% as a fraction = 1/5

Step-by-step explanation:

Answer:

We have:

R = (2, 2)

S = (5, 4)

RS is the segment that connects R with S.

So RS is just the distance between R and S.

Remember that the distance between two points (a, b) and (c, d) is given by:

\(distance = \sqrt{(a - c)^2 + (b - d)^2}\)

Then the distance between S and R is

\(distance = \sqrt{(5 - 2)^2 + (4 - 2)^2} = \sqrt{3^2 + 2^2} = \sqrt{13}\)

Then:

RS = √13

ii) Now we want to express RS in the form (K, Q)

where K is the magnitude (we already know that it is √13) and Q is the bearing, which is measured with respect to the horizontal axis.

To interpret the bearing, let's look at the image below:

We can use the relation:

Tan(θ) = (opposite cathetus)/(adjacent cathetus)

where the opposite cathetus is just the difference between the y-values:

Opposite cathetus = 4 - 2 = 2

And the adjacent cathetus is the difference between the x-values:

Adjacent cathetus = 5 - 2 = 3

Then we have:

Tan(θ) = 2/3

If we apply the inverse tangent equation to both sides, we get:

Atan(tan(θ)) = Atan(2/3)

θ = Atan(2/3) = 33.69°

The bearing is 33.69°

then:

RS = (√13, 33.69°)

The two types of frequency distributions are Discrete Frequency Distribution and Grouped Frequency Distribution

The two types of frequency distributions are;

When the data consists of discrete, separate values, this sort of distribution is used. It displays the frequency or number of occurrences of each value.

The data is often expressed in a table with two columns: one for distinct values and another for the frequencies of those values.

This distribution is utilized when the data is continuous and has a wide range of values. It entails categorizing the data into intervals or classes and then calculating the frequency of values that fall within each interval.

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The inventory that would be sold first is the inventory purchased on  May 15th, 2010.

FIFO means first in, first out. It means that it is the first purchased inventory that is the first to be sold. The earliest purchased inventory is the first that is assumed to be sold. Ending inventory consist of the inventory that was purchased last.

Here are the options:

      A. June 15th, 2010

B. May 15th, 2010

C. May 30th, 2010

D. June 30th, 2010

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Answer:

a triangle that may not have the same dimensions as the bases

Step-by-step explanation:

The cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases would be a triangle that may not have the same dimensions as the bases.

Answer:  227,130 J (or 227 kJ).

How?:

When the force is in the same direction than the displacement, we can express the work of this force as: W = F x h

The force is equal to the total weight of the wrecking ball and the cable. The wrecking ball has a mass of 3000 lb. For the cable, we have to calculate the mass as:

Mc = l x p= 50ft x 7lb/ft= 350lb

The total mass is 3,350 lb.

The magnitude of the force is equal to the weight:

F= mg= 3,350lbf

The work done by this force is:

W=F x h= 3,350lbf x 50ft = 167,500lbf - ft

W= 167,500lbf - ft x 1.356J/1lbf - ft = 227,130 J (or 227 kJ).

Answer:

Area of the hurricane = 7853 or 3.14  x  50 squared

Answer:highlight throw that tomato

Step-by-step explanation:

Answer:

4.2025 \(\pi m^{2}\)

Step-by-step explanation:

Just put -2 in,where X is and get your answer that way

The function f(x) = 2x² - 7x + 10 is an odd function.

f(-x) = 2(-x)² - 7(-x) + 10

      = 2x² + 7x + 10

-f(x) = -[2x²- 7x + 10]

      = -2x² + 7x - 10

To determine whether the function f(x) = 2x² - 7x + 10 is even, odd, or neither, we compare f(-x) and -f(x).

1. f(-x) = 2x² + 7x + 10

2. -f(x) = -2x² + 7x - 10

To determine if f(-x) = -f(x) (even function), we substitute -x for x in f(x) and check if the equation holds.

1. f(-x) = 2x² + 7x + 10

         = f(x) (not equal to -f(x))

Since f(-x) is not equal to -f(x), the function is not even.

Next, to determine if f(-x) = -f(x) (odd function), we substitute -x for x in f(x) and check if the equation holds.

2. -f(x) = -2x² + 7x - 10

        = -(2x² - 7x + 10)

        = -(f(x))

Since -f(x) is equal to -(f(x)), the function is odd.

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Two-variable linear equations have a line as their graph, which is why they are referred to as linear equations. Plotting (x1,y1) and (x2,y2), then creating a line that connects the two.

\($\frac{d}{d x}\left(-(x-2)^2+1\right)$\)

Domain of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$\)

Range of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & f(x) \leq 1 \\ \text { Interval Notation: } & (-\infty, 1]\end{array}\right]$\)

Interception zones on the axis \($-(x-2)^2+1: \quad X$\) Intercepts: \($(3,0),(1,0), Y$\)Intercepts: (0,-3) .

Vertex of \($-(x-2)^2+1: \quad$\) Maximum (2,1) .

The graph of the equation y=2x+1 shows a straight line, or it is a linear equation. When the value of x rises, eventually the value of y rises by twice the rise in x plus one. With a ruler and the specified amount as the starting point, draw a vertical line. From the line across to the -axis, create a horizontal line using a ruler. Look at the value on the -axis.

There are three fundamental ways to graph linear functions. The initial method involves charting points and then tracing a line through them. The second is by using the slope and y-intercept. The identity function f(x)=x is transformed as the third method.

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Answer:

r = 24

Step-by-step explanation:

Just reverse everything,

3 x 16 = 48,

48 ÷ 2 = 24,

to double-check,

if you plug in 24 for r then you have,

2(24)/3 = 16

48/3 = 16

16 = 16

Answer:4500.60

Step-by-step explanation:

Answer:

You need to plot the points at (1.5, 0) and (0,-3)

Step-by-step explanation:

Answer:

10.69 pounds

Step-by-step explanation:

4.22 + 6.47 = 10.69

Answer:

10.69 pounds of snacks

Step-by-step explanation:

Total no of raisins ;

\(6.47+4.22\\\\=10.69\)

Answer:

No solutions since this is an expression

Step-by-step explanation:

Srry if im wrong, im not 100% sure about this question

Based on the equation the statements I and II are both true for the temperature increase. Option D is correct.

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

Any two different points on a line may be used to compute the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula.

The given equation is C=5/9(F−32).

Here, the slope of the equation is 59, thus for the given statements we have:

For A:

For the change in temperature the slope is 5/9, hence True.

For B:

Here, the change is 1.8 = 5/9 thus B is True.

For C:

The temperature change is not equal to the slope. False.

Hence, based on the equation the statements I and II are both true for the temperature increase. Option D is correct.

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Answer: 165 miles

Step-by-step explanation: In order to figure out the answer, you must do 55 x 3 because he drove for 3 hours at 55 mph so you could break it up and go 50 x 3 to equal 150 and 5 x 3 to equal 15 and add those to get 165.

Answer:

The answer is 165miles

Step-by-step explanation:

\(distance = speed \times time\)

d=55×3

d=165 miles

Answer:

a

  \(P(G) =  0.69\)

b

  \(P(S | G) = 0.81\)

c

  \(P(M|G') =  0.26\)

Step-by-step explanation:

From the question we are told the

   The probability of getting into getting into graduated school if you receive a strong recommendation is  \(P(G |S) = 0.80\)

   The probability of getting into getting into graduated school if you receive a moderately good recommendation is  \(P(G| M) =  0.60\)

   The probability of getting into getting into graduated school if you receive a weak recommendation is  \(P(G|W) =  0.05\)

   The probability of getting a strong recommendation is  \(P(S) =  0.7\)

     The  probability of receiving a moderately good recommendation is \(P(M) =  0.2\)

       The probability of receiving a weak recommendation is \(P(W) =  0.1\)

      Generally  the probability that you will get into a graduate program is mathematically represented as

     \(P(G) =  P(S) *  P(G|S) + P(M) *  P(G|M) + P(W) *  P(G|W)\)

=>   \(P(G) =  0.7 * 0.8 +  0.2 *  0.6 + 0.1 *  0.05\)

=>   \(P(G) =  0.69\)

Generally  given that you did receive an offer to attend a graduate program, what is the probability that you received a strong recommendation is mathematically represented as

      \(P( S|G) =  \frac{ P(S) *  P(G|S)}{ P(G)}\)

=>    \(P(S|G) =  \frac{ 0.7 * 0.8 }{0.69}\)

=>     \(P(S | G) = 0.81\)

Generally given that you didn't receive an offer to attend a graduate program  the probability that you received a moderately good recommendation is mathematically represented as

        \(P(M|G') =  \frac{ P(M) *  (1- P(G|M))}{(1 - P(G))}\)

         \(P(M| G') =  \frac{ 0.2 *  (1- 0.6)}{ (1 - 0.69)}\)

         \(P(M|G') =  0.26\)

Answer:

he would need to mow lawns for 8 hours

Step-by-step explanation:

The required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

Given the diagram of the hanger which one side has 10 + 5x  and other side has 11.

To find the equation, equate the expression of one side to the numerical value of the other side. On solving the equation gives the value of x.

Thus, the equation is 10 + 5x = 11.

Consider the equation 10 + 5x = 11

On subtracting 10 from each side gives,

5x = 1

Divide each side by 5 gives,

x = 1/5.

Hence,  the required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

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Answer:

152 units

Step-by-step explanation:

Two sides of the rectangle are 27 units long and the other two sides are 49 units wide. You just add all the numbers up (27+27+49+49). When you do that, you get 152. I hope this helps!

Time series forecasts are developed based on time series analysis, which comprises methods for analyzing time series data to extract meaningful statistics and other characteristics of the data.

One of the most often used data science techniques in business, finance, supply chain management, production, and inventory planning is time series forecasting.

A time component is often present in prediction difficulties, necessitating the extrapolation of time series data or time series forecasting. Another crucial field of machine learning (ML) is time series forecasting, which may be viewed as a supervised learning issue.

It can be subjected to ML techniques including regression, neural networks, support vector machines, random forests, and XGBoost. Using models created from historical data to anticipate future observations is known as forecasting.

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Answer/Step-by-step explanation:

17. Slope = rise/run

rise = 5

run = 7

Slope = -⁵/7

18. Slope = rise/run

rise = 4

run = 4

Slope = -⁴/4 = -1

19. Slope = rise/run

rise = 3

run = 5

Slope = -⅗

20. Slope = rise/run

rise = 4

run = 1

Slope = -⁴/1 = -4

Answer:

17.32 meters

Step-by-step explanation:

Let’s call the height of the tower H. The distance from the point to the base of the tower is 10 m. The angle of elevation from the point to the top of the tower is 60 degrees.

Using trigonometry, we can calculate that:

tan (60) = H / 10

H = 10 * tan (60)

H = 10 * √3

H = 17.32 m

Therefore, the height of the tower is 17.32 meters.

Let me know if I helped :)