The slide at the playground has a height of 5 feet.
The sliding board is 13 feet long. How far away
from the ladder is the bottom of the slide?

Answer:

\({ \bf{y = mx + c}} \\ 2 = ( - 2 \times - 1) + c \\ c = 0 \\ \\ { \boxed{ \bf{y = - 2x}}}\)

Answer:

y = -2x

Step-by-step explanation:

The equation of a line in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

y = -2x +b

Using the point

2 = -2(-1)+b

2 = 2+b

Add -2 to each side

2-2 =b

0=b

y = -2x+0

y = -2x

Answer:

(x+1-i)(x+1+i)

Step-by-step explanation:

i did the diagnostic :)

Answer:

(x+1-i)(x+1+i)

Step-by-step explanation:

The equation of the line parallel to the line -3y = -9x - 15 and passing through the point (-4, -13) is y - 3x = 35

As per the given data: the line passes through the point (-4, -13) and is parallel to the line -3y = -9x - 15.

9x - 3y = 15

3x - y = 5

Here we have to determine the equation of the line that passes through the point (-4, -13) and is parallel to the line 3x - y = 5:

When two lines are parallel then their slopes are equal.

y = 3x - 5

Slope form - y = mx + c

Compare both the equations: m = 3

So, the slope of the line that passes through the point (-4, -13) is 3.

Using the one-point slope form of a line the equation of a line that passes through the point (-4, -13) and is parallel to the line 3x - y = 5 can be determined.

The one-point slope form is given below:

\(y - y_{1} = m(x-x_{1} )\)

Substitute the values of the known terms in the above equation.

y - (-4) = 3 (x - (-13))

y + 4 = 3 (x + 13)

y + 4 = 3x + 39

y - 3x = 39 - 4

y - 3x = 35

Therefore the required equation is y - 3x = 35

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Answer:

Cathy bought a bicycle in Washington, where the sales tax rate was 6.5% of the purchase price. What was (a) the sales tax and (b) the total cost of a bicycle if the purchase price of the bicycle was $392?

Answer: 37.7un^3

Step-by-step explanation:

Volume = 1/3πr^2h

=1/3×π×22×9

=12π

= 37.699111843078 feet3

Answer:

24 hhbhbbb;bbbbhhhjjjjdjdhdbdbbdbdhd

Answer: 61

Area of Square = \(7^{2}\)

7 x 7 = 49

Area of Triangle = 1/2 (4) (3)

1/2 (4) (3) = 6

49 + 6 + 6 = 61

Answer:

Therefore, the coordinates of the vertices of ΔA'B'C' after the dilation with a scale factor of 2.5.

Step-by-step explanation:

Given the vertices of ΔABC

Given that ΔA'B'C' is a dilation of ΔABC with a scale factor of 2.5 and the center of dilation (0, 0).

We know that when the scale factor > 1, then the image is enlarged.

The formula to determine the dilation with a scale factor of 2.5.

P(x, y) → P'(2.5x, 2.5y)

Here, P' is the image of P, and the vertices of the image is dilated by a scale factor of 2.5.

In other words, the vertices of the image can be obtained by multiplying the vertices of the original triangle with 2.5.

Thus,

P(x, y) → P'(2.5x, 2.5y)

A(-2, -1) → P'(2.5(-2), 2.5(-1)) = A'(-5, -2.5)

B(1, 2) → B'(2.5(1), 2.5(2)) = B'(2.5, 5)

C(2, -4) → C'(2.5(2), 2.5(-4)) = C'(5, -10)

Therefore, the coordinates of the vertices of ΔA'B'C' after the dilation with a scale factor of 2.5.

The possible solution to a system of linear equations is (2, 5)

From the question, we have the following parameters that can be used in our computation:

y = 2x + 1

y = 5

substitute the known values in the above equation, so, we have the following representation

2x + 1 = 5

Evaluate the like terms

2x = 4

So, we have

x = 2

This means that the solution is (2, 5)

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Answer:

(C). (t² - p)( \(t^{4}\) + pt² + p²)

Step-by-step explanation:

a³ - b³ = (a - b)(a² + ab + b²)

\(t^{6}\) - p³ = (t²)³ - p³ = (t² - p)( \(t^{4}\) + pt² + p²)

Answer:

(0,6)

Step-by-step explanation:

The y intercept is where the line crosses the y axis or the coordinate where x = 0.

Here, when x is equal to 0, y is equal to 6 meaning that the y intercept is at (0,6)

Answer:

b.

Step-by-step explanation:

an independent variable is something that you can change or control

The angle of rotation about O that maps IJ to RF is 120 degrees.

A hexagon is a polygon with six sides and six angles. It is a two-dimensional geometric shape that can be formed by connecting six straight line segments, where each segment intersects two others to form the six corners or vertices of the shape.

To find the angle of rotation about O that maps IJ to RF, we can follow these steps:

Note that IJ and RF are opposite sides of the regular hexagon, and since the hexagon is regular, they have the same length.

Since the hexagon is regular, we know that the angle between adjacent sides is 120 degrees.

Therefore, the angle between IJ and one of the dashed line segments must be 60 degrees (since it is the supplement of the 120 degree angle).

Let x be the angle of rotation about O that maps IJ to RF.

After the rotation, the angle between IJ and the dashed line segments will be x + 30 degrees (since the dashed line segments form 30 degree angles).

Similarly, the angle between RF and the dashed line segments will also be x + 30 degrees after the rotation.

Since IJ and RF are opposite sides of the regular hexagon, they form a 60 degree angle.

Therefore, we have the equation:

\(2(x + 30) + 60 = 360\)

The left-hand side of the equation represents the sum of the angles around O after the rotation. The factor of 2 comes from the fact that each of the dashed line segments contributes to the angle twice.

Simplifying the equation, we get:

\(2x + 120 = 360\)

\(2x = 240\)

\(x = 120\)

Therefore, the angle of rotation about O that maps IJ to RF is 120 degrees.

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Considering that y is between x and z, we have that:

We consider that y is between x and z, hence the length of the segment is given by:

xz = xy + yz

The separate lengths are given as follows:

Hence:

4k + 38 = 3k - 2 + 7k + 4.

4k + 38 = 10k + 2

6k = 36

k = 6.

Hence the length of yz is given by:

yz = 7k + 4 = 7(6) + 4 = 42 + 4 = 46 units.

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Answer:

25% decrease

Step-by-step explanation:

The required probability of the randomly selected households either having internet access or cable television is equal to 0.85.

Let us consider 'A' represents the number of house hold has internet access.

And 'B' represents the number of house hold has cable television.

P(A) = 75%

      = 0.75

P(B) = 80%

       = 0.80

Number of household has both internet access and cable television

= P( A∩B)

= 70%

= 0.70

Probability of randomly selected household either with internet access or cable are P( A∪B) :

P( A∪B) = P(A) + P(B) - P( A∩B)

Substitute the value we get,

⇒  P( A∪B) = 0.75 + 0.80 - 0.70

⇒  P( A∪B) =  0.85

Therefore, the probability of household having either internet access or cable television is equal to 0.85.

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The maximum height is the highest level of height an object can reach. . The greatest height of the hangar is 32feet

The maximum height is the highest level of height an object can reach. Given the height in feet of the curved roof of an aircraft hangar can be modeled by y=-0.02x^2+1.6x

The velocity of the aircraft is zero at the maximum height. Therefore:

dy/dx = -0.04x + 1.6  = 0

Determine the value of x

0.04x = 1.6
x = 1.6/0.04
x = 40

Substitute x = 40 into the function to get the greatest height

y=-0.02x^2+1.6x

y=-0.02(40)^2+1.6(40)

y = -32 + 64

y = 32ft

Hence the greatest height of the hangar is 32feet

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Answer:

m= 17/3

Step-by-step explanation: Divide both sides by 3

3m/3 = 17/3

Simplify and you get-

m= 17/3

When a researcher uses convenience sampling, sample frame error occurs in the form of members of the population who are infrequent users or nonusers of that location.

Given,

Sampling .

Here,

A sample is a controllable representation of a larger group. It is a subgroup of people with traits from a wider population. When population sizes are large enough for the test to include all applicable participants , samples are utilized in statistical testing.

A convenience sample is a kind of non-probability sampling technique where the sample is taken from a group of people those are within the reach;

Additionally, since the only need for this kind of sampling method is whether the participant is willing to be the part of sample.

Therefore, Option (d) is correct.

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Correct question:

When a researcher uses ________, sample frame error occurs in the form of members of the population who are infrequent users or nonusers of that location.

a. purposive sampling

b. chain referral sampling

c. quota sampling

d. convenience sampling

The relationship between the angle 1 and the angle 5 is given as follows:

C. Alternate exterior angles

Alternate exterior angles happen when there are two parallel lines cut by a transversal lines.

The two alternate exterior angles are positioned on the outside of the two parallel lines, and on opposite sides of the transversal line.

The alternate exterior angles are congruent, meaning that they have the same measure.

Hence, angles 1 and 5 are alternate exterior, and the correct option is given by option c.

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   The expected value of the probability distribution is 1.35, and the standard deviation is approximately 0.6165.

To compute the expected value of a probability distribution, we multiply each possible value by its corresponding probability and sum up the results. In this case, we have the values 0, 1, and 2 with probabilities 0.25, 0.30, and 0.45, respectively. Therefore, the expected value can be calculated as follows:
Expected value = (\(0 * 0.25) + (1 * 0.30) + (2 * 0.45) = 0 + 0.30 + 0.90 = 1.20 + 0.90 = 2.10\).
To compute the standard deviation of the distribution, we first need to calculate the variance. The variance is the average of the squared differences between each value and the expected value, weighted by their corresponding probabilities. Using the formula for variance, we have:
Variance = \([(0 - 1.35)^2 * 0.25] + [(1 - 1.35)^2 * 0.30] + [(2 - 1.35)^2 * 0.45] = 0.0625 + 0.015 + 0.10125 = 0.17875.\)
The standard deviation is the square root of the variance. Therefore, the standard deviation is approximately\(√0.17875\)= 0.4223 (rounded to four decimal places) or approximately 0.6165 (rounded to four decimal places after the final result is obtained).

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Answer:

all you need to do is hit right click then hit g and do page soure type ctrl g then do it and type in answer copy and paste and your good

Step-by-step explanation:

The equation of the line that intersects the x-axis at point (3, 0) and intersects the y-axis at point (0, 5) is y = (-5/3)x + 5.

To find the equation of a line that intersects the x-axis at point (3, 0) and intersects the y-axis at point (0, 5), we can use the slope-intercept form of a linear equation, which is y = mx + b. Given the point (3, 0) on the x-axis, we know that when x = 3, y = 0. This gives us one point on the line, and we can use it to calculate the slope (m).

Using the slope formula: m = (y2 - y1) / (x2 - x1)

Substituting the values (0 - 5) / (3 - 0) = -5 / 3

So, the slope (m) is -5/3. Now, we can substitute the slope and one of the given points (0, 5) into the slope-intercept form (y = mx + b) to find the y-intercept (b).

Using the point (0, 5):

5 = (-5/3) * 0 + b

5 = b

The y-intercept (b) is 5. Therefore, the equation of the line that intersects the x-axis at point (3, 0) and intersects the y-axis at point (0, 5) is:

y = (-5/3)x + 5

To sketch the diagram, plot the points (3, 0) and (0, 5) on the x-y plane and draw a straight line passing through these two points. This line represents the graph of the equation y = (-5/3)x + 5.

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EXAMPLE QUESTION+ANSWER;-

16 - [5 - 2 { 14  of  2 - (8/4 * 2 - 1 + 3 } ]

= 16 - [5 - 2 { 14  of  2 - (2 * 2 - 1 + 3 } ]

= 16 - [5 - 2 { 14  of  2 - (4 - 1 + 3 } ]  

= 16 - [5 - 2 { 14  of  2 - (3 + 3 } ]

= 16 - [5 - 2 { 14  of  2 - 6} ]

= 16 - [5 - 2 { 28  - 6} ]

= 16 - [5 - 2 {22} ]

= 16 - [5 - 44]

= 16 + 30

= 55

Answer: 55

Explanation

Multiply both parts by the LCD 15

15*(2/5) = 30/5 = 6

15*(1/15) = 15/15 = 1

The ratio 2/5 : 1/15 is equivalent to 6:1

The value of the equation x² - x + 3 is 37/9.

We have,

We can start by multiplying both sides of the equation by x:

2x - 3/x = x + 1

2x - 3 = x^2 + x

Rearranging and simplifying, we get:

x^2 - x + 3 = (2x - 3) + x^2

x^2 - x + 3 = x^2 + 2x - 3

-x + 3 = 2x - 3

5 = 3x

x = 5/3

Now we can substitute x into the equation x^2 - x + 3:

x^2 - x + 3 = (5/3)^2 - 5/3 + 3

x^2 - x + 3 = 25/9 - 15/9 + 27/9

x^2 - x + 3 = 37/9

Therefore,

The value of x² - x + 3 is 37/9.

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Answer:

Amount = 800000×(1+0.09)2 = 800000×1.1881 = 946480

Amount = 800000×(1+0.1)2 = 800000×1.21 = 960000

Answer: 4

Step-by-step explanation:

Answer:

5/6 (option 3)

Step-by-step explanation:

\(P(A^C)\) is asking what the complement of A is. This means we are asking what the probability of NOT getting A is. This would be 1 - P(A).

P(A) = The probability of getting a 3 = 1/6

We can solve for the probability of the complement of the A and get:\(P(A^C) = 1 - P(A) = 1 - \frac{1}{6} = \frac{5}{6}\)

Thus, the answer is 5/6 (which I believe is the 3rd option you are given)