Consider a data set with at least three data values suppose the highest value is increased by 10 and the lowest is decreased by five

Answer & Step-by-step explanation:

In this problem, we a re given two points. These points are (-4, 3) and (-2, -1). We can use these points and put them into the slope formula.

\(Slope=\frac{y2-y1}{x2-x1}\)

Now, plug in the points to their respectful places.

\(Slope=\frac{-1-3}{-2-(-4)}\)

\(Slope=\frac{-4}{2}\)

\(Slope=-2\)

So, your slope of the the line is -2.

Answer:

8/15

Step-by-step explanation:

calculations are also used in statistical predictions of the likely election results, these calculations yield ranges of possibilities rather than precise results.

Given,

Member of the club paying for rental bike =

10

non-member of the club paying for rental bike = 15

Also for summer season member had given $100.

Bike taken by members = x

Bike taken by non-members = y

to pay same amount,

100+10x = 15y

1. let's take x=1

110=15y

y!= integer

x can't be 1

2. let's take x=2

120 = 15y

y = 8 i.e. an integer value



So, members will take bike on rent for 2

times and non-members for 8 times.

And the amount is 120.

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Step-by-step explanation:

The amplitude is 2. Amplitude means height from the x-axis to the crest/trough.

The period is 2pi. It is from crest to crest (next crest) or trough to trough (next trough).

Note that crest are the highest points of a wave, and that troughs are the lowest points of a wave. (we are talking about transverse waves, but this is more of a physics thing).

Function of graph:
By playing around in a graphing calculator, I got the equation to be

2 (cos (x + pi/2)).

the 2 changes the amplitude, and the + pi/2 shifts the graph by pi/2 to the left.

The equation that represents direct variation between a and b is b = -a

When a number is in Direct Variation to the other number then on increasing one number the other number also increases.

It is given that two numbers varies directly with each other

such that they are equidistant form zero but in opposite direction.

This can be represented by b = -a

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The number of pork sliders sold is given as follows:

24 pork sliders.

The number of pork sliders sold is obtained applying the proportions in the context of the problem.

The total number of pork sliders is given as follows:

120 pork sliders.

The percentage of pork sliders sold is given as follows:

20%. (proportion of 0.2).

Hence the amount sold is given as follows:

0.2 x 120 = 24 pork sliders.

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Answer:

Longer side = 145ft

Shorter side = 135ft

Step-by-step explanation:

Here we have a rectangle.

Let's define L as the longest side (the one that is perpendicular to the wall of the house) and S as the shorter side.

We know that the perimeter of a rectangle is:

P = 2*L + 2*S

So if we wanted to fence this rectangle, we would need fencing equal to the perimeter.

But in this case, one of the shorter sides does not need to be fenced, so we only need:

2*L + S of fencing.

And we know that we will use 425ft of fencing, then:

2*L + S = 425 ft

We also know that The length of the fence opposite the house is 10 ft less than  either of the other two sides, then:

S = L - 10ft

Then we have two equations:

2*L + S = 425 ft

S = L - 10ft

Here we can just replace the second equation into the first one to get:

2*L + (L - 10ft) = 425 ft

Now we can solve this for L

2*L + L - 10ft = 425ft

3*L = 425ft + 10ft

3*L = 435ft

L = 435ft/3 = 145ft

This means that the longer side is 145ft long.

And by the equation:

S = L - 10ft

S = 145ft - 10ft = 135ft

S = 135ft

We know that the shorter side is 135ft long.

Answer:

x=2

Step-by-step explanation:

10 - (x + 3) = 5

To solve for x, we can start by simplifying the left side of the equation:

10 - (x + 3) = 5

10 - x - 3 = 5

7 - x = 5

Next, we can isolate x on one side of the equation by subtracting 7 from both sides:

7 - x = 5

7 - x - 7 = 5 - 7

-x = -2

Finally, we can solve for x by dividing both sides of the equation by -1:

-x = -2

x = 2

Therefore, the solution to the equation is x = 2.

the value of arc length = 3.14 and the area of the sector = 4.71cm²

The formula for the area of the sector of a circle is /360° (r2) where r is the radius of the circle and is the angle of the sector.

Arc length is the distance between two points along a section of a curve. It is given as

/360°×2r

= 180°, therefore /3 = 180/3= 60°

arc length = 60°/360 × 2×3.14×3

arc length = 3.14cm

The area of the sector = /360°×r²

60/360×3.14×3²

sector area = 3.14×3÷2

sector area = 4.71cm²

therefore the length of the arc and the area bounded by the arc and radius(sector) is 3.14cm and 4.17cm².

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Answer:the value of arc length = 3.14 and the area of the sector = 4.71cm²

Step-by-step explanation:

the value of arc length = 3.14 and the area of the sector = 4.71cm²

Answer:

it is 13 hope it helps may yr day will nice

The length of the third side of the triangle, to the nearest hundredth, is approximately 54.75 units.

1. We have a triangle with two known side lengths: 43 and 67 units.

2. The angle included between these sides measures 27 degrees.

3. To find the length of the third side, we can use the Law of Cosines, which states that \(c^2 = a^2 + b^2\) - 2ab * cos(C), where c is the third side and C is the included angle.

4. Plugging in the known values, we get \(c^2 = 43^2 + 67^2\) - 2 * 43 * 67 * cos(27).

5. Evaluating the expression on the right side, we get \(c^2\) ≈ 1849 + 4489 - 2 * 43 * 67 * 0.891007.

6. Simplifying further, we have \(c^2\) ≈ 6338 - 5156.898.

7. Calculating \(c^2\), we find \(c^2\) ≈ 1181.102.

8. Finally, taking the square root of \(c^2\), we get c ≈ √1181.102 ≈ 34.32.

9. Rounding to the nearest hundredth, the length of the third side is approximately 34.32 units.

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Answer

Kelvin 223  669 < 356  

Lori 55                165 < 356  

Vanessa 265  795 < 356  

Devon 172          516 < 356  

Celia 112           336 < 356

Step-by-step explanation:

Answer:

wy m by that??!???? im confused

Answer: b

f(x)=5x^2-17x+495

f(11)=913

Step-by-step explanation:

I did some research and found an exam review sheet that had this same problem (worked out). This was all that was written.

The quadratic function that models the data will be;

y = 5x² - 17x + 495

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The model to estimate the number of fish at the lake on week 11 are;

Week = 0, 1, 2, 3, 4, 5, 6

Population = 495, 483, 481, 489, 507, 535, 573

Now,

Let the quadratic equation is;

y = ax² + bx + c

Substitute x = 0 and y = 495, we get;

495 = a × 0 + b × 0 + c

c = 495

Substitute x = 1 and y = 483, we get;

483 = a × 1 + b × 1 + c

483 = a + b + 495

a + b = 483 - 495

a + b = - 12   ... (i)

Substitute x = 2 and y = 481, we get;

481 = a × 4 + b × 2 + c

481 =  4a + 2b + 495

4a + 2b = 481 - 495

4a + 2b = - 14

2a + b = - 7   ... (ii)

Solve equation (i) and (ii), we get;

a = 5 and b = - 17

So, We get;

The quadratic equation is;

y = ax² + bx + c

y = 5x² - 17x + 495

Therefore, The quadratic function that models the data will be;

y = 5x² - 17x + 495

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Answer:

B

Step-by-step explanation:

B

x - 4 squared provides 2 real zeros that are the same. These two are not distinct.

The other two come from x^2 - 7x + 10 which has a discriminate of

sqrt(7^2 - 4*1*10) = sqrt(9) = +/- 3 leading to something real and different.

Answer:

B. The function has three distinct real zeros.

Step-by-step explanation:

For all Plato users

Answer:

(10, -18)

Step-by-step explanation:

midpoint formula: (sum of both x-values/2, sum of both y-values/2)

(0 + x)/2 = 5

x = 10

(4 + y)/2 = -7

y = -18

Answer:

0.65A = X

Step-by-step explanation:

Given that an item that regularly sells for A dollars is on sale for 35% off its regular price, to write an expression that shows the price in dollars after the discount the following equation must be proposed:

100 - 35 = 65

0.65A = Discount price

Therefore, if the regular price were $ 50, this equation would work as follows:

0.65 x 50 = X

32.5 = X

The biconditional statement is: A rectangle is a parallelogram with four right angles if and only if a parallelogram has four right angles.

The term "if and only if" or biconditional statement refers to a compound statement composed of two conditional statements connected by a logical operator.

This definition is commonly utilized to describe the characteristics of a rectangle when it comes  to its correlation with a parallelogram. The opening section of the biconditional statement is comprised of a conditional statement indicating that a rectangle is defined as a parallelogram featuring four right angles.

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Write this definition as a biconditional statement.

A rectangle is a parallelogram with four right angles.

Answer:

The answer is 5.534 x107km

Step-by-step explanation:

the answer is;ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

Answer:

x = \(\frac{19}{6}\)   or   x = \(3\frac{1}{6}\)

Hope this helps!

Step-by-step explanation:

x + \(\frac{1}{2}\) = \(3\frac{2}{3}\), subtract both sides by \(\frac{1}{2}\)

x = \(\frac{11}{3}\) -  \(\frac{1}{2}\)   :   x = \(\frac{22}{6}\) -  \(\frac{3}{6}\)    :    x = \(\frac{19}{6}\)   :   x = \(3\frac{1}{6}\)

To show that the point (å, ä) is on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ), we need to demonstrate two things: that the point lies on the line segment, and that it is equidistant from the endpoints.

1. Determine the midpoint of the line segment:

  - The midpoint coordinates (\(x_{mid, y_{mid\)) can be found using the midpoint formula:

    \(x_{mid\) = (x1 + x2) / 2 and \(y_mid\) = (y1 + y2) / 2, where (x1, y1) and (x2, y2) are the coordinates of the endpoints.

    In this case, we have (x1, y1) = (Ů, ü) and (x2, y2) = (ĝ, ġ).

2. Calculate the midpoint coordinates:

  - Substitute the values into the midpoint formula to find (x_mid, y_mid).

3. Find the slope of the line segment:

  - Use the slope formula: slope = (y2 - y1) / (x2 - x1).

    Apply the formula to the endpoints (Ů, ü) and (ĝ, ġ) to determine the slope of the line segment.

4. Determine the negative reciprocal of the line segment's slope:

  - Take the negative reciprocal of the slope calculated in the previous step. The negative reciprocal of a slope m is -1/m.

5. Write the equation of the perpendicular bisector:

  - Using the negative reciprocal slope and the midpoint coordinates (\(x_{mid\), \(y_{mid\)), write the equation of the perpendicular bisector in point-slope form: y - \(y_{mid\) = \(m_{perp\) * (x - \(x_{mid\)), where \(m_{perp\) is the negative reciprocal slope.

6. Substitute the point (å, ä) into the equation:

  - Replace x and y in the equation of the perpendicular bisector with the coordinates of the point (å, ä). Simplify the equation.

7. Verify that the equation holds true:

  - If the equation is satisfied when substituting (å, ä), then the point lies on the perpendicular bisector.

By following these steps, you can demonstrate that the point (å, ä) lies on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ).

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Answer:

  1.6 hours

Step-by-step explanation:

Their separation speed is 95 +105 = 200 miles per hour. The time required for the given distance is ...

  time = distance/speed

  time = (320 mi)/(200 mi/h) = 1.6 h

It will take 1.6 hours for the trains to be 320 miles apart.

The solutions of the system of inequalities are:

(0, 3)

(6, 2)

Here we have the graph of a system of inequalities, the solutions are all the points on the area where the two shaded regions intercept (it would be on the purple area).

And we can see that one line is solid, the points on that line are solutions, the other line is dashed, the points on that line are not solutions.

Then the points that are solutions are:

(0, 3)

(6, 2)

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The table that represents the relationship between Lemon poppy and Bran muffins is as under:

Lemon poppy Muffins                    Bran Muffins

22                                                             2

66                                                             6

88                                                             8

Given that a backery sells 22 Lemon Poppy Muffins for every 2 Bran Muffins.

We are required to find the table that represents the relationship between lemon poppy and Bran Muffins.

To find the table we need to just multiply 1,2,3,4,5,etc.

Table contain rows and columns which shows some relationship between variables.

Table which shows represents the relationship between lemon poppy and Bran Muffins is as under:

Lemon Poppy Muffins                     Bran Muffins

22                                                            2

44                                                            4

66                                                            6

88                                                            8

Hence the table that represents the relationship between Lemon poppy and Bran muffins is as under:

Lemon poppy Muffins                    Bran Muffins

22                                                             2

66                                                             6

88                                                             8

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Answer:

864

Step-by-step explanation:

AT= 2Area base+ph

AT= 2(12*12) +(12*4)12

AT=2 (144)+576

AT= 288+576

AT=864"

====================================

Work Shown:

a^2+b^2 = c^2  ... pythagorean theorem

c = sqrt(a^2+b^2)

c = sqrt(4^2+12^2)

c = 12.6491106406736

c = 12.65

Answer:

Step-by-step explanation:

Given,

Height of the triangle = 4

Base of the triangle = 12

Therefore,

Hypotenuse of the triangle

\( {(base)}^{2} + {(height)}^{2} = {(hypotenuse)}^{2} \)

\( = > {(12)}^{2} + {(4)}^{2} = {(hypotenuse)}^{2} \)

\( = > {(hypotenuse)}^{2} = 144 + 16\)

\( = > {(hypotenuse)}^{2} = 160\)

\( = > hypotenuse = \sqrt{160} \)

\( = > hupotenuse = \sqrt{5 \times 2 \times 2 \times 2 \times 2 \times 2} \)

\( = > hypotenuse = 2 \times 2 \sqrt{5 \times 2} \)

\( = > hypotenuse = 4 \sqrt{10} \: (ans)\)

Answer:

Step-by-step explanation: