If the length of a rectangle prism is doubled, it’s width is tripled, and it’s height remains the same, what is the volume of the new rectangle prism?

Answer:

m = -8/3

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Step 1: Find 2 coordinates

(-70, 70)

(-10, -90)

Step 2: Find slope m

m = (-90 - 70)/(-10 + 70)

m = -160/60

m = -8/3

Box plots are a useful tool for summarizing and visualizing data, allowing for easy comparison and analysis of different data sets

A box plot is a graphical representation of a data set that shows the distribution of the data and some of its key statistical measures such as the median, quartiles and outliers.

The box plot consists of a box and whiskers that extend from the box.

The box represents the middle 50% of the data with the lower and upper quartiles forming the bottom and top of the box respectively.

The line inside the box represents the median is the middle value of the data set.

The whiskers extend from the box to the minimum and maximum values that are not outliers.

Outliers are values that are much larger or smaller than the other values in the data set are shown as individual points outside the whiskers.

Box plots can be used to compare the distributions of data sets, such as in the case of Jada's data on flights from Boston to San Diego on two different airlines.

By comparing the medians quartiles and ranges of the box plots for the two airlines Jada can get a sense of which airline has more consistent flight times fewer delays or other factors that are important to her.

Additionally Jada can identify any outliers in the data set that may be worth investigating further.

For similar questions on Box plots

https://brainly.com/question/14277132

#SPJ11

The rectangular coordinates of the points of intersection of the polar curves r = 2sin(2θ) and r = 2sin(θ), the equations can be converted to rectangular form. However, solving the resulting system of equations algebraically may be challenging. Alternatively, graphing the polar curves and visually identifying the points of intersection can provide an effective method.

To find the rectangular coordinates of the points of intersection of the polar curves r = 2sin(2θ) and r = 2sin(θ), the equations can be converted to rectangular form, the rectangular coordinates of the above points are given below:

For the equation r = 2sin(2θ):

x = 2sin(2θ)cos(θ)

y = 2sin(2θ)sin(θ)

For the equation r = 2sin(θ):

x = 2sin(θ)cos(θ)

y = 2sin^2(θ)

The rectangular coordinates of the point(s) of intersection of the polar curves r = 2sin(2θ) and r = 2sin(θ) can be found by converting the polar equations to rectangular form and solving for the x and y coordinates.

To convert the polar equations to rectangular form, we can use the relationships x = rcos(θ) and y = rsin(θ). Substituting these expressions into the given polar equations, we get:

For the equation r = 2sin(2θ):

x = 2sin(2θ)cos(θ)

y = 2sin(2θ)sin(θ)

For the equation r = 2sin(θ):

x = 2sin(θ)cos(θ)

y = 2sin^2(θ)

To find the points of intersection, we need to set the x and y coordinates of both equations equal to each other and solve for θ. However, solving this system of equations algebraically can be complex due to the trigonometric functions involved.

Graphing the polar curves and visually inspecting the points of intersection may provide a more intuitive approach to finding the rectangular coordinates. By plotting both polar curves on a graph, the points where the curves intersect can be determined by their shared coordinates.

In summary, to find the rectangular coordinates of the points of intersection of the polar curves r = 2sin(2θ) and r = 2sin(θ), the equations can be converted to rectangular form. However, solving the resulting system of equations algebraically may be challenging. Alternatively, graphing the polar curves and visually identifying the points of intersection can provide an effective method.

Learn more about rectangular coordinates here:

brainly.com/question/31904915

#SPJ11

Answer:

Hi

Please mark brainliest

Step-by-step explanation:

1.46 × 10^-2 = 0.0146

There are 5040 ways to arrange these seven leaders in a row. There are 1440 ways to arrange these seven leaders in a row, so that the leader of japan and the leader of canada stand next to each other.

Using the multiplication principle, we multiply all the possible arrangements to determine the total number of configurations if we have seven individuals and want to know how many ways there are to place them in a row of seven seats. For instance, the first seat has seven alternatives, the second has six (as one has been taken), the third has five, the fourth has four, and so on.

So, these seven leaders in a row, so that the leader of japan and the leader of canada stand next to each other.

6! * 2! = 720 * 2 = 1440 .

To arrange these seven leaders in a row we just have to find,

7! = 7x6x5x4x3x2x1

= 5040

These two configurations are both permutations. Therefore, in the case, there are only two potential permutations.

It becomes more difficult if there are seven of us. The multiplication concept must be applied.

Learn more about Probability:

https://brainly.com/question/30253073

#SPJ4

Answer:

Hi! The answer to your question is y \(\geq\) -5

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

y= -2x - 1

Step-by-step explanation:

Take two of the points given by the data in the table.

Using the x-values 1 and 2, they have a y-value of -3 and -5, respectively.

Therefore, we can write these out as coordinate points: (1, -3) and (2, -5).

The equation to find the slope of a line is:

Substitute these points into this formula to find the slope of this linear function.

Simplify and solve for the slope m.

The slope of this linear function is -2. Now, we can use this slope and substitute it into the point-slope equation along with another one of the points on the function.

Point-slope equation:

Substitute m = -2 and the point (1, -3) into this equation.

Simplify this equation and put it into slope-intercept form: \(y=mx+b\).

The equation of the linear function represented by the table is y = -2x - 1.

Answer:

y= -2x - 1

Step-by-step explanation:

Take two of the points given by the data in the table.

Using the x-values 1 and 2, they have a y-value of -3 and -5, respectively.

Therefore, we can write these out as coordinate points: (1, -3) and (2, -5).

The equation to find the slope of a line is:

Substitute these points into this formula to find the slope of this linear function.

Simplify and solve for the slope m.

The slope of this linear function is -2. Now, we can use this slope and substitute it into the point-slope equation along with another one of the points on the function.

Point-slope equation:

Substitute m = -2 and the point (1, -3) into this equation.

Simplify this equation and put it into slope-intercept form: .

The equation of the linear function represented by the table is y = -2x - 1.

Answer:

b

Step-by-step explanation:

Answer:

-80

Explanation:

A negative times a positive results in a negative.

So let's multiply:

-8 × 10

-80

Answer:

1/12

Step-by-step explanation:

See attached worksheet.

answer = c

its not a or b because the range starts at y = 2

Answer:

Step-by-step explanation:

Acute angle

Answer:

it's an acute angle

Step-by-step explanation:

the angle is smaller than 90°

Mrs. Frizzle can assign her students to lab groups of two or three students in 18 and 12 ways respectively.
To find the number of ways to form lab groups of two students, we need to calculate the number of combinations of 9 students taken 2 at a time. This can be represented as "9C2" or "9 choose 2".

The formula for combinations is nCr = n! / (r!(n-r)!), where n is the total number of objects to choose from and r is the number of objects to choose.
So, for lab groups of two students, the calculation would be:
9C2 = 9! / (2!(9-2)!)
    = 9! / (2!7!)
    = (9 * 8 * 7!) / (2! * 7!)
    = (9 * 8) / 2!
    = 36 / 2
    = 18
Therefore, there are 18 ways to form lab groups of two students.

To find the number of ways to form lab groups of three students, we need to calculate the number of combinations of 9 students taken 3 at a time. This can be represented as "9C3" or "9 choose 3".

Using the same formula for combinations, the calculation would be:
9C3 = 9! / (3!(9-3)!)
    = 9! / (3!6!)
    = (9 * 8 * 7!) / (3! * 6!)
    = (9 * 8) / 3!
    = 72 / 6
    = 12
Therefore, there are 12 ways to form lab groups of three students.

In conclusion, Mrs. Frizzle can assign her students to lab groups of two or three students in 18 and 12 ways respectively.

Let us know more about combinations : https://brainly.com/question/30648446.

#SPJ11

Slope Formula: y2 - y1 / x2 - x1

(m and slope represent the same quantity)

m = 1 - - 5 / -4 - 0

m = 1 + 5 / -4

m = 6 / -4

m = -3/2

Now that we know the slope, we can plug the slope and one of our points into slope-intercept form (y = mx + b) and solve for b. I will be using the point (-4,1).

y = -3/2x + b

1 = -3/2(-4) + b

1 = 6 + b

b = -5

In point form, the y-intercept is (0, -5).

Therefore, to get the equation all we need to do is plug in our slope and b-value to slope-intercept form.

Equation: y = -3/2 x - 5

To check the point (-6, -14) we plug it into our equation and see if the two sides are equal.

-14 = -3/2(-6) - 5

-14 = 9 - 5

-14 = 4

-14 does not equal 4, therefore the point is NOT on the line.

Hope this helps!

Answer:?

The following list shows how many brothers and sisters some students have:

2, 4, 3, 3, 4, 2, 4, 3, 3, 2, 3, 4

State the mode.

Step-by-step explanation:

Answer:

(x - 1)² + 16

Step-by-step explanation:

Subtract 17 from both sides of the equation.

Use the formula (b/2)² to see which number you have to add to both sides.

Add 1 to both sides of the equation.

Factor the left side of the equation into a perfect square.

Add 16 to both sides of the equation.

(x - 1)² + 16 is the equation in standard form (x² - 2x + 17) rewritten by completing the square.

The correct answer is (a) there is a 95% chance that the interval (51%, 57%) contains the true percent of American adults who do not think that human beings developed from earlier species.

The margin of error, stated as 3% in the Harris Poll, is associated with a 95% confidence level. This means that in repeated sampling, 95% of the confidence intervals generated would contain the true proportion of American adults who do not believe in human evolution. Therefore, answer (a) is the correct interpretation of the margin of error.

Answer (b) is incorrect because the margin of error does not imply that the poll's estimate will be within 3% of the true proportion in 95% of cases. The margin of error only pertains to the width of the confidence interval, not the individual estimates.

Answer (c) is also incorrect because the margin of error only applies to the specific poll conducted and does not guarantee that the results of a future poll would fall within the same range.

Answer (d) is incorrect because the margin of error does not indicate the probability of the interval being correct. It is associated with the level of confidence, not the probability of correctness.

Answer (e) is incorrect because the margin of error does not ensure that 95% of all possible samples would contain the true proportion. It only provides a measure of uncertainty for the specific sample taken.

Learn more about margin of error here:

https://brainly.com/question/29419047

#SPJ11

Answer:

well how many sides are there in one? then multiply it by the number of the one side to how many sides

Step-by-step explanation:

Answer:

30 inches

Step-by-step explanation:

Equilateral means all the sides are the same

To specify the orientation of the plane of a paper, the following single line can be used: "Hold the paper such that the plane of the paper is perpendicular to the direction of the gravity.

This means that if you hold the paper and drop a plumb line, the line should be parallel to the edge of the paper. This way, anyone can hold the paper in the same or a parallel plane, thus ensuring that the orientation is consistent.An alternate line to specify the orientation of the plane of a paper is: "Hold the paper such that the plane of the paper is parallel to the surface of the earth." This means that if you hold the paper and look at it from the top, the surface of the paper should appear to be parallel to the ground. By using either of these lines, one can specify the orientation of the paper's plane.

To know more about plane visit;

brainly.com/question/18681619

#SPJ11

Answer:

x = 8

Step-by-step explanation:

x + 5 = 2x - 3

-x      = -x        subtract x from both sides.

   5 = 1x - 3

   +3 =      +3        add 3 to both sides.

8 = 1x

x = 8

51.21%  is the coefficient of determination.

What does coefficient of determination mean?

SST = SSE + SSR

Here, SSE = 100 and SSR = 105

SST = 100+105 = 205

Coefficient of determination , R^2 = 105/205  = 51.21%

Learn more about  coefficient of determination

brainly.com/question/16258940

#SPJ4

Answer:

Step-by-step explanation:

(a) 2p - 3q + r

= 2(2i + 3j) - 3(i + j) + i - 2j

= 4i + 6j - 3i - 3j + i - 2j

= 2i + j.

(b) The vector in the opposite direction is -2i - j.

Its magnitde is √((-2i)^2 + (-j^2))

= √5.

So its unit vector is

-2i/√5 - j/√5.

(c) First find the dot prodct of the 2 vectors

This is 2*1 - 3*2

= -4.

Magnitde of 2i + 3j = √13

Magnitde of i - 2j = √5.

Angle between the vectors

= arcsin  (-4) / (√13*√5).

= -29.75

= 330 degrees to nearest degree.

Answer:

Sales tax = 2249.1

$ 2249.10

Step-by-step explanation:

Answer:

498

Step-by-step explanation:

We will need to use the Pythagorean Theorem.

A^2 + B^2 = C^2

45^2 + B^2 = 500^2

Subtract 45^2

B^2 = 500^2 - 45^2

Simplify

B^2 = 247,975

Take square root so B is alone

B = 497.9708

Round

B = 498

Answer:

y = kx^2.

(I'm pretty sure this is right...)

Answer:

Part A: ≈112.06

Part B: B

Step-by-step explanation:

Find the surface area and volume for the separate shapes, then add them up together

---------------------------------------------------------------------------------------------------------------

Have a good day :)