20 POINTS PLS HELP
What is true of the data in the dot plot? Check all that apply.

Number of Minutes Shelly Spent Waiting for the Bus Each Morning
A dot plot going from 10 to 15. 10 has 2 dots, 11 has 4 dots, 12 has 0 dots, 13 has 3 dots, 14 has 6 dots, 15 has 1 dot.
The center is 13.
The center is 14.
The peak is at 14.
It has two clusters.
It is skewed left.
The spread is from 13 to 15.
The person waited for the bus 16 times.

Answer:

8

Step-by-step explanation:

d=√(−5−3)2+(−2−(−2))2

d=√(−8)2+(0)2

d=√64+0

d=√64

d=8

Answer:

W X = 83

W Y = 119

X Y = 36

Step-by-step explanation:

W X = 3y + 11

W Y = 6y - 25

X Y = y + 12

The translation is as shown in the figure in option B

Translation transformation is a type of geometric transformation that moves every point of a figure the same distance and direction. This transformation does not change the size, shape, or orientation of the figure, but only its position in space.

The transformation required ahs the rule defined as

Applying the rule arrives the image in option B

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Answer:

3ft

Step-by-step explanation:

because 9 times 3 equal 27

James has to pay an annual interest of 14.99% on $2500 loan.

In decimal:

14.99% = 14.99/100 = 0.1499

The interest of 1st year would be:

0.1499 * 2500 = 374.75 dollars

Monthly interest would be:

374.75/12 = $31.23

If he pays this amount each month for first 4 months, he would pay a total of:

$31.23 * 4 =

Answer:

cubic-degree of 3

Step-by-step explanation:

its not the first two, because they have way more waves

Answer:

Total amount on which Mike could earn commission:

Mike can earn amounts on sales over $10,000 so the commission amount is:

= 23,750 - 10,000

= $13,750

Total amount of Mike's compensation:

= 5% * 13,750

= $687.50

Mikes base salary plus commission:

= 500 + 687.50

= $1,187.50

Mike's net pay:

= Gross pay - deductions

= 1,187.50 - 152.75

= $1,034.75

Based on the information in the bar graph, the number of students of the next 140 asked will select football rather than track and field as their favorite sport is, 35

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

Given that,

Mike asked 200 students to select their favorite sport and then recorded the results in the bar graph

the percentage of students who selects football is,

Percentage = (50/200)×100

Percentage =  25%

If we consider in same percentage students will select football in next 140 students,

then,   number of those students will be,

25 = (a/140)×100

a = 35

Therefore, the number of students is, 35

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Answer:

y = \(\frac{4}{3}\) x + \(\frac{29}{3}\)

Step-by-step explanation:

assuming you require the equation of the perpendicular line.

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \(\frac{3}{4}\) x - 3 ← is in slope- intercept form

with slope m = - \(\frac{3}{4}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{3}{4} }\) = \(\frac{4}{3}\) , then

y = \(\frac{4}{3}\) x + c ← is the partial equation

to find c substitute (- 2, 7 ) into the partial equation

7 = - \(\frac{8}{3}\) + c ⇒ c = 7 + \(\frac{8}{3}\) = \(\frac{21}{3}\) + \(\frac{8}{3}\) = \(\frac{29}{3}\)

y = \(\frac{4}{3}\) x + \(\frac{29}{3}\) ← equation of perpendicular line

The equation of the line is y = (4x +29)/3

The line y = -3/4x - 3 has a slope of -3/4.  A line perpendicular to -3/4 has a slope of 4/3. So the slope of our new line will be 4/3.

We are told that the line goes through the point (-2, 7).  That is x = -2 and y = 7.  Now that we know a point and a slope, we can use the formula:

y2 - y1 = m(x2 - x1)

where,

x1 = -2

y1 = 7

m = 4/3 [slope]

Substituting in the formula,

y2 - 7 = 4/3(x2 - (-2))

y2 - 7 = 4/3*x2 + 4/3*2

3(y2 - 7) = 4(x2) + 8    

3y2 - 21 = 4(x2) +8

3y2 = 4(x2) + 8 +21

3y2 = 4(x2) +29

y2 = (4(x2) +29)/3          

Therefore, the equation of the line is y = (4x +29)/3

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The completer question is

'Find the equation of the line that is perpendicular to y = -3/4x - 3 and passes through the points (-2,7).'

Answer:

Finding the dilation's center point is the first step in determining the scale factor. Next, we measure the distances between the center point and various points on the preimage and the image. We may determine the scale factor by dividing these distances by 2.

Step-by-step explanation:

The possible values for (\overline{ab}) are: 12, 13, 21, 23, 31, 32.

And the possible values for (\overline{cd}) are: 11, 12, 13, 14, 21, 22, 23, 24, 31, 32, 33, 34.

Given the digits 1, 2, 3, 1, 2, 3, and 44 arranged to form two two-digit numbers ((\overline{ab}) and (\overline{cd})), we need to determine the possible values for (\overline{ab}) and (\overline{cd}).

To find the possible values, we need to consider the given digits and their arrangement.

We have the following digits: 1, 2, 3, 1, 2, 3, and 44.

Since we are forming two two-digit numbers, (\overline{ab}) and (\overline{cd}), we can assign the digits in the following way:

(\overline{ab}): The tens digit is represented by a, and the ones digit is represented by b.

(\overline{cd}): The tens digit is represented by c, and the ones digit is represented by d.

To find the possible values for (\overline{ab}) and (\overline{cd}), we need to consider the available digits and their arrangement.

From the given digits, we have 1, 2, 3, 1, 2, 3, and 44.

To form two two-digit numbers, we need to select the appropriate digits for each place value.

The tens digit for (\overline{ab}) (represented by a) can be chosen from {1, 2, 3}.

The ones digit for (\overline{ab}) (represented by b) can also be chosen from {1, 2, 3}.

Similarly, the tens digit for (\overline{cd}) (represented by c) can also be chosen from {1, 2, 3}.

The ones digit for (\overline{cd}) (represented by d) can be chosen from {1, 2, 3, 4}.

Since the problem states that the numbers are randomly arranged, we need to consider all possible combinations of digits.

Now, let's determine the possible values for (\overline{ab}) and (\overline{cd}):

Possible values for (\overline{ab}):

(\overline{12}), (\overline{13}), (\overline{21}), (\overline{23}), (\overline{31}), (\overline{32})

Possible values for (\overline{cd}):

(\overline{11}), (\overline{12}), (\overline{13}), (\overline{14}), (\overline{21}), (\overline{22}), (\overline{23}), (\overline{24}), (\overline{31}), (\overline{32}), (\overline{33}), (\overline{34})

Please note that the number 44 counts as a single digit since it represents a two-digit number itself.

Therefore, the possible values for (\overline{ab}) are: 12, 13, 21, 23, 31, 32.

And the possible values for (\overline{cd}) are: 11, 12, 13, 14, 21, 22, 23, 24, 31, 32, 33, 34.

These are the possible combinations of two two-digit numbers that can be formed using the given digits.

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Answer:

x = 46°

Step-by-step explanation:

The measure of the exterior angle at a vertex of a triangle equal to the sum of the measures of the two opposite interior angle to this vertex

In the given parallelogram

∵ Its two diagonals intersected at a point and formed 4 triangles

∵ The angle of measure 69° is an exterior angle of the triangle that

   contains angles z, x, and 23°

∵ The opposite interior angles to the angle of measure 69° are x and

   the angle of measure 23°

→ By using the rule above

∴ x + 23° = 69°

→ Subtract 23 from both sides

∴ x + 23 - 23 = 69 - 23

∴ x = 46°

The volume of the cylinder is approximately 1413.7 cubic centimeters.

The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height or length of the cylinder.

Since the base of the cylinder has a diameter of 9cm, the radius is half of that, or r = 4.5cm.

The length of the cylinder is given as 20cm.

Therefore, the volume of the cylinder is:

V = πr²h

= π(4.5)²(20)

= 1413.72 cubic centimeters (rounded to 1 decimal place)

Thus, the volume of the cylinder is approximately 1413.7 cubic centimeters.

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Complete question:

Calculate the volume of this cylinder. give your answer to 1 decimal place. Base is 9cm. Length is 20cm.

Answer:

We need help someone please help us please

Step-by-step explanation:

On solving the provided question, we can say that by unitary method we got that the 3, 3/4 yards of fabric that she bought did she actually use

\(3\frac{3}{4} - 9/10 = > 31/10\)

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

she buys  = 3, 3/4 yards of fabric

she uses = 9/10 of this piece of fabric

the 3, 3/4 yards of fabric that she bought did she actually use

\(3\frac{3}{4} - 9/10\\15/4 - 9/10\\150 - 36/40\\124/40\\62/20\\31/10\)

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Answer:

40

Step-by-step explanation:

I hope this helps!

Answer:

40

Explanation:

Multiply -4 by 5

Then, Multiply -20 by -2

Which equals 40

Hope this helps:)

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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Answer:

270 donuts

Step-by-step explanation:

We need to find the number of donuts they make per hour. To find that, take the known number of donuts divided by the known number of hours.

150/10=15, so 15 donuts per hour.

Now, we multiply 18x15 and find they will have made 270 donuts.

The average change in the otter's position each minute is -24.5 ft per minute and the otter goes deeper.

We have,

The ratio of "change in the function values" to "change in the interval endpoints" is referred to as the average rate of change of a function f(x) over an interval [a, b].

Here, we have

Sea level changes by -73.5 ft in 3 minutes

So, we apply the average change formula, and we get

= -73.5/3

= - 24.5 ft per minute

And the otter goes deeper because - 24.5 < 0

Hence, the average change in the otter's position each minute is -24.5 ft per minute and the otter goes deeper.

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complete question;

A sea otter is underwater. Its position below sea level changes by -73.5 ft in 3 minutes. What is the

average change in the otter's position each minute? Is the otter going deeper or toward the surface of

the water? Explain your reasoning. Show your work!!! (4 pts)

Change in Otter's position per minute:

The otter is swimming..

The dilation is centered at the origin and has a scale factor of 0.5.

Here are the steps to find the image coordinates using a dilation centered at the origin with a scale factor of 0.5:

Write down the coordinates of the pre-image points.

P(-4, 2), L(2, 4), A(2, -4), Y(-4, -2)

Multiply each coordinate by the scale factor of 0.5.

P' = (0.5 × -4, 0.5 × 2) = (-2, 1)

L' = (0.5 × 2, 0.5 × 4) = (1, 2)

A' = (0.5 × 2, 0.5 × -4) = (1, -2)

Y' = (0.5 × -4, 0.5 × -2) = (-2, -1)

Write down the image coordinates.

P'(-2, 1), L'(1, 2), A'(1, -2), Y'(-2, -1)

Therefore, the dilation centered at the origin with a scale factor of 0.5 maps the points P(-4, 2), L(2, 4), A(2, -4), Y(-4, -2) to their respective images P'(-2, 1), L'(1, 2), A'(1, -2), Y'(-2, -1).

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Image transcribed:

Use coordinate notation to describe the dilation. Express the scale factor as a decimal if necessary.

If q is an odd number and the median of q consecutive integers is 120, then the largest of these integers is option (A) (q-1) / 2 + 120

The number q is an odd number

The median of q consecutive integers = 120

Consider the q = 3

Then three consecutive integers will be 119, 120, 121

The largest number = 121

Substitute the value of q in each options

Option A

(q-1) / 2 + 120

Substitute the value of q

(3-1)/2 + 120

Subtract the terms

=2/2 + 120

Divide the terms

= 1 + 120

= 121

Therefore, largest of these integers is (q-1) / 2 + 120

I have answered the question in general, as the given question is incomplete

The complete question is

if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?

a) (q-1) / 2 + 120

b) q/2 + 119

c) q/2 + 120

d) (q+119)/2

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The Janitor used 8/15 of the bottle

How to calculate the amount of the solution of the bottle used ?

The Janitor has 3/5 of a spray bottle solution

He uses 1/9 of the solution in a day

The amount of solution used can be calculated as follows

3/5 × 1/9

= 3/45

= 1/15

The initial amount  in the bottle is

3/5 - 1/15

= 8/15

Hence the amount of solution he has used is 8/15

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a. Dilation of 2nd equation by a factor of 12

b. The systems have the same solution, as dilations do not affect overall coordinates, changing side lengths but not angles

Answer:

x=

295

​

−15≈2.175564037

x=−

295

​

−15≈−32.175564037

Step-by-step explanation:

Answer:

x^2+30x−70

Step-by-step explanation:

Let's simplify step-by-step.

x^2+30x−70

There are no like terms.

The midpoint Riemann sum for f(x) = x² + 2 on [1, 9] with the partition 3 = {1, 3, 6, 9} is 253.5.

The partition 3 = {1, 3, 6, 9}, the midpoint Riemann sum for f(x) = r" + 2 on [1, 9] is Σ f(c) Δεκ -- = 84.5.

Let's compute the midpoint Riemann sum for f(x) = x² + 2 on [1, 9] with the partition 3 = {1, 3, 6, 9}.

Since we are using the midpoint rule, the sample point ci for each subinterval [xi−1, xi] will be the midpoint mi = (xi + xi−1)/2.

The width of each rectangle is Δx = xi − xi−1, and the height of each rectangle is f(mi).

Therefore, we have:

Δx1 = 3 − 1 = 2;

m1 = (3 + 1)/2 = 2;

f(m1) = 2² + 2 = 6;

Δx2 = 6 − 3 = 3;

m2 = (6 + 3)/2 = 4.5;

f(m2) = 4.5² + 2 = 22.25;

Δx3 = 9 − 6 = 3;

m3 = (9 + 6)/2 = 7.5;

f(m3) = 7.5² + 2 = 58.25;

Therefore, the Riemann sum is:

Σ f(c) Δεκ -- = Δx1f(m1) + Δx2f(m2) + Δx3f(m3)

= 2(6) + 3(22.25) + 3(58.25)

= 12 + 66.75 + 174.75

= 253.5

Hence, the midpoint Riemann sum for f(x) = x² + 2 on [1, 9] with the partition 3 = {1, 3, 6, 9} is 253.5.

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Answer:

4x+2=4x+2

Step-by-step explanation:

The amount of money that you will have in eight years from today is $29,315.79 (rounded to 2 decimal places).

To find out the amount of money that you will have in eight years, you need to use the future value formula, which is:FV = PV × (1 + r)n

Where, FV = future value

PV = present value (initial investment) r = annual interest rate (as a decimal) n = number of years

First, you need to find the future value of the gift amount of $17,000 in two years.

Since it's a gift and not an investment, we can assume an interest rate of 0%.

Therefore, the future value would simply be:

PV = $17,000r = 0%n = 2 years

FV = $17,000 × (1 + 0%)2FV = $17,000

Now, you will loan that amount at 9.75% interest for six more years.

So, you need to find the future value of $17,000 after 6 years at an annual interest rate of 9.75%.

PV = $17,000

r = 9.75%

n = 6 years

FV = $17,000 × (1 + 9.75%)6

FV = $29,315.79

Therefore, the amount of money that you will have in eight years from today is $29,315.79 (rounded to 2 decimal places).

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The length of the third side of an isosceles triangle is 9 cm.

Define isosceles triangle.

A triangle with two sides that are congruent or that are the same length is known as an isosceles triangle.

Define perimeter.

The sum of the lengths of the three sides of an isosceles triangle can be used to determine its perimeter. Two of the sides of an isosceles triangle are equal in length. Therefore, if we know the base length and the other two equal side lengths, we can determine the perimeter.

Given data -

Perimeter of an isosceles triangle  = 47cm

The sum of the equal sides = 38 cm

Let a be the length of equal sides.

Therefore 2a = 38

Perimeter of an isosceles triangle = 2a + b

47 = 38 + b

b = 47 - 38

b = 9 cm

The length of the third side of an isosceles triangle is 9 cm.

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The complete question is

"If the perimeter of an isosceles triangle is 47 cm and the sum of the equal sides is 38 cm. Find the length of the third side."

Answer:

18.8% = 0.188 in decimal form. Percent means 'per 100'. So, 18.8% means 18.8 per 100 or simply 18.8/100. If you divide 18.8 by 100, you'll get 0.188 (a decimal number).

Step-by-step explanation: