PLEASE HELP (Will give brainliest to the first person to answer and the grid goes up by 250s and across by 0.5s)

The following graph represents the distance a commercial airplane travels over time, at cruising speed and an altitude of 35,000 feet. In fact, the distance the airplane travels at cruising speed is directly proportional to the time it travels. What is the cruising speed of the airplane? In your answer, use complete sentences to describe how you found the speed.

1,567 - 2,1134 - 3,1701 - 4, 2268 - 5,2268

Answers

Answer 1

By analyzing the relationship between the distance traveled and the time taken from the given graph, we determined that the cruising speed of the airplane is 567 units of distance per 1 unit of time.

To find the cruising speed of the airplane, we can analyze the given graph and observe the relationship between the distance traveled and the time taken.

Looking at the data points provided, we see that the distance traveled is directly proportional to the time taken. This means that for every unit increase in time, there is a corresponding increase in the distance traveled.

Let's consider the first two data points: (1,567) and (2,1134). The time difference between these two points is 2 - 1 = 1, and the distance traveled difference is 1134 - 567 = 567.

Since the distance traveled is directly proportional to time, we can conclude that the speed of the airplane is equal to the distance traveled divided by the time taken. In this case, the speed would be 567 units of distance per 1 unit of time.

Now, let's calculate the cruising speed using the other data points as well:

(2,1134) - (1,567) = 1134 - 567 = 567 units of distance per 1 unit of time

(3,1701) - (2,1134) = 1701 - 1134 = 567 units of distance per 1 unit of time

(4,2268) - (3,1701) = 2268 - 1701 = 567 units of distance per 1 unit of time

(5,2268) - (4,2268) = 2268 - 2268 = 0 units of distance per 1 unit of time

We can see that for each time interval, the distance traveled is always 567 units. Therefore, we can conclude that the cruising speed of the airplane is 567 units of distance per 1 unit of time.

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Related Questions

what is 8 x 1 ????????????

Answers

Answer:8

Step-by-step explanation:8x1=8

The five-number summary of a data set is given below.

Minimum: 3 Q1: 12 Median: 15 Q3: 16 Maximum: 20

Which of the following equals 1.5(IQR)?

Answers

The required value is 1.5(IQR) equals 6.

What is Data set?

A dataset is a collection of facts that relates to a particular subject. The test results of each pupil in a particular class are an illustration of a dataset. Datasets can be expressed as a table, a collection of integers in a random sequence, or by enclosing them in curly brackets.

According to question:

The IQR (interquartile range) is the difference between the third quartile (Q3) and the first quartile (Q1). So, we first need to calculate IQR:

IQR = Q3 - Q1 = 16 - 12 = 4

Now we can calculate 1.5 times the IQR:

1.5(IQR) = 1.5(4) = 6

Therefore, 1.5(IQR) equals 6.

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Complete question:

The five-number summary of a data set is given below.

Minimum: 3 Q1: 12 Median: 15 Q3: 16 Maximum: 20

Which of the following equals 1.5(IQR)?

Subtract 1/9 - 1/14 and give answer as improper fraction if necessary.

Answers

Answer:

To subtract 1/9 - 1/14, we need to find a common denominator. The smallest number that both 9 and 14 divide into is 126.

So, we will convert both fractions to have a denominator of 126:

1/9 = 14/126

1/14 = 9/126

Now we can subtract them:

1/9 - 1/14 = 14/126 - 9/126

Simplifying the right-hand side by subtracting the numerators, we get:

5/126

Therefore, 1/9 - 1/14 = 5/126 as an improper fraction.

Answer:

1/9-1/14

=14-9/9*14

=5/126

= 25 1/5

given the following limit lim(x;y)!(0;0) infinty y infinity y , show that the function f (x; y) does not have a limit as (x; y) ! (0; 0).

Answers

The limit of f(x, y) as (x, y) approaches (0, 0) depends on the path taken, the limit does not exist, and we can conclude that the function f(x, y) do not have a limit as (x, y) → (0, 0).

To show that the function f(x, y) does not have a limit as (x, y) → (0, 0), we need to show that the limit does not exist, either because the limit is infinite or because the limit does not exist.

We are given that the limit of f(x, y) as (x, y) → (0, 0) when y → infinity is infinity. This means that as y approaches infinity, the function f(x, y) becomes arbitrarily large, regardless of the value of x. However, this does not imply that the limit of f(x, y) exists as (x, y) → (0, 0).

To see why, consider the sequence of points (x_n, y_n) = (1/n, n) as n approaches infinity. As y_n → infinity, we have

lim (x_n, y_n) → (0, 0) f(x_n, y_n) = infinity.

However, if we consider the sequence of points (x_n, y_n') = (1/n, n^2) instead, as n approaches infinity, we have

lim (x_n, y_n') → (0, 0) f(x_n, y_n') = 0.

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PLS HELP I WILL MARK BRAINILEST

Answers

Answer:

Let's assume the original price of the stock was x.

When the company announced it overestimated demand, the stock price fell by 40%.

So, the new price of the stock after the first decline was:

x - 0.4x = 0.6x

A few weeks later, when the seats were recalled, the stock price fell again by 60% from the new lower price of 0.6x.

So, the new price of the stock after the second decline was:

0.6x - 0.6(0.6x) = 0.24x

Given that the current stock price is $2.40, we can set up the equation:

0.24x = 2.40

Solving for x, we get:

x = 10

Therefore, the stock was originally selling for $10.

Cookies are on sale! Today each cookie costs
$
0.75
$0.75dollar sign, 0, point, 75 less than the normal price. Right now if you buy
7
77 of them it will only cost you
$
2.80
$2.80dollar sign, 2, point, 80!
Write an equation to determine the normal price of each cookie
(c)
(c)left parenthesis, c, right parenthesis.

Answers

The correct answer is:

The equation is [tex]7(c-0.75) = 2.80[/tex], and the regular price of a cookie is [tex]c =\$1.15[/tex].

Explanation:

c is the regular price of a cookie. We know that today they are $0.75 less than the normal price; this is given by the expression [tex]c-0.75[/tex].

We also know if we buy 7 of them, the total is $2.80. This means we multiply our expression, [tex]c-0.75[/tex], by 7 and set it equal to $2.80:

[tex]7(c-0.75) = 2.80[/tex]

To solve, first use the distributive property:

[tex]7 \times c-7\times0.75 = 2.80[/tex]

[tex]7c-5.25 = 2.80[/tex]

Add 5.25 to each side:

[tex]7c-5.25+5.25 = 2.80+5.25[/tex]

[tex]7c = 8.05[/tex]

Divide each side by 7:

[tex]7c\div7 = 8.05\div7[/tex]

[tex]c = \$1.15[/tex].

The pens in a box are repackaged equally into 9 packs. Each pack has more than 15 pens.

1. Find an inequality to represent n, the possible number of pens in the box.

2. Explain why you chose this inequality.

Answers

Therefore, the possible number of pens in the box is p, where p is greater than 135.

What is inequality?

Inequality refers to a situation in which there is a difference or disparity between two or more things, usually in terms of value, opportunity, or outcome. Inequality can take many forms, including social, economic, and political inequality.

Inequalities are mathematical expressions that compare two values using the symbols < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to). To solve an inequality, you need to isolate the variable (the unknown quantity) on one side of the inequality symbol and determine the range of values for which the inequality holds true.

Here are some general steps to solve an inequality:

Simplify both sides of the inequality as much as possible. This may involve combining like terms, distributing terms, or factoring.

Get all the variable terms on one side of the inequality symbol and all the constant terms on the other side. Remember that when you multiply or divide both sides of an inequality by a negative number, you must reverse the direction of the inequality symbol.

Solve for the variable by isolating it on one side of the inequality symbol. If the variable has a coefficient, divide both sides of the inequality by that coefficient.

Write down the solution as an inequality. If you have solved for x, the solution will be in the form of x < a or x > b, where a and b are numbers.

Check your solution by testing a value in the original inequality that is within the range of the solution. If the inequality holds true for that value, then the solution is correct. If not, then you may need to recheck your work or adjust your solution

by the question.

Let's say there are 'p' pens in the box. Each pack has more than 15 pens, so we can write the inequality:

p/9 > 15

Multiplying both sides by 9, we get:

p > 135

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in one of his experiments conducted with animals, thorndike found that cats learned to escape from a puzzle box:

Answers

In one of his experiments conducted with animals, Thorndike found that cats learned to escape from a puzzle box is increased gradually

To quantify the learning process, Thorndike used a mathematical formula known as the Law of Effect equation. The equation is:

B = f(log S1/S2)

where B represents the strength of the behavior, S1 represents the satisfaction of the positive consequence, and S2 represents the degree of frustration or negative consequence.

In the context of Thorndike's puzzle box experiment, the Law of Effect equation can be used to describe how the cat's behavior changed over time as it learned to escape the puzzle box more quickly and efficiently. Initially, the cat's behavior was weak because it did not know which actions would lead to a positive outcome.

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HELP ME ASAP!!! YOU WILL BE BRAILIEST!!!!!!!

Answers

Answer:

See step by step.

Step-by-step explanation:

lets define the events:
A: cuban festival        C: tropical Garden
B: street art show      D: african festival

a) theoretically the probability is

[tex]P(A)=P(B)=P(C)=P(D)= \frac{1}{4} = 0.25 \\[/tex]
This is 25% (for each one, equally)

b) The experimental probability is given by:

[tex]P(A)= \frac{32}{150} =0.2133[/tex]

[tex]P(B)= \frac{38}{150} =0.2533[/tex]

[tex]P(C)= \frac{35}{150} =0.2333[/tex]
[tex]P(D)= \frac{45}{150} =0.3000[/tex]

c) The theoretically probabilities are all equally, the experimental probabilities are close to 25% each one, but differ lightly each one, since is an experiment and the result is random.  

francesca bought 27 keychains of two different kinds to make goodie bags for her birthday party. leather keychains were three dollars and beaded keychains for two dollars. she spent $73. how many keychains of each kind did she buy

Answers

Answer: Supergirl = 19 and Wonder Woman = 8

Step-by-step explanation:

Let g represent the quantity of Supergirl keychains and w represent the quantity of Wonder Woman keychains.

                            Qty       Cost

Supergirl                 g         $3g

Wonder Woman     w       $2w

Total                       27       $73

Qty:     g +  w  = 27  →   -2(g +  w  = 27)    →    -2g - 2w = -54

Cost: 3g + 2w = 73  →     1(3g + 2w = 73)  →     3g + 2w =  73

                                                                           g          =  19

Input g = 19 into one of the original equations to solve for w:

g  + w = 27

(19) + w = 27

        w = 8

1. Tell whether AB is tangent to OC.

Answers

Answer:

It is a tangent

Step-by-step explanation:

A tangent is a straight line that brushes the circumference of a circle.

Mia has a collection of vintage action figures that is worth $190. If the collection appreciates at a rate of 6% per year, which equation represents the value of the collection after 5 years?

Answers

The equation that represents the value of the collection after 5 years is:

Value of collection after 5 years = 190 x (1 + 0.06)^5

Explanation:

To calculate the value of the collection after 5 years, we need to use the compound interest formula. This formula is represented as A = P x (1 + r)^n, where P is the principal amount (initial value of the collection), r is the rate of interest (in this case, 6%), and n is the number of years (in this case, 5).

Therefore, the equation for the value of the collection after 5 years is:

Value of collection after 5 years = 190 x (1 + 0.06)^5

This can also be written as:

Value of collection after 5 years = 190 x 1.31 (1.31 is the result of (1 + 0.06)^5)

Therefore, the value of the collection after 5 years is $246.90.

Answer: 254.26

Step-by-step explanation:

Could you please solve this one.​

Answers

The proof that the lines CD and XY are parallel is shown below in paragraghs

How to prove the lines CD and XY are parallel

Given that

∠CAY ≅ ∠XBD

This means that the angles CAY and XBD are congruent angles

The above means that

The angles ∠AYX & ∠ACD correspond to the angle ∠CAYThe angle ∠BXY & ∠BDC corresponds to the angle ∠XBD

By the corresponding angles, we have

∠BXY = ∠AYX

∠ACD = ∠BDC

By the congruent angles above, the following lines are parallel

Line AC and BX

Line AY and BD

Line CD and XY

Hence, the lines CD and XY are parallel

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19. Hockey Game Two families go to a hockey game. One family purchases two adult tickets and four youth tickets for $28. Another family purchases four adult tickets and five youth tickets for $45.50. Let x represent the cost in dollars of one adult ticket and let y represent the cost in dollars of one youth ticket. a. Write a linear system that represents this situation. b. Solve the linear system to find the cost of one adult and one youth ticket. c. How much would it cost two adults and five youths to attend the game?​

Answers

a. To write a linear system that represents this situation, we can use the information given in the problem to create two equations. Let x represent the cost of one adult ticket and y represent the cost of one youth ticket. Then:

- For the first family: 2x + 4y = 28
- For the second family: 4x + 5y = 45.50

b. To solve this linear system, we can use the elimination method. We can multiply the first equation by -2 and add it to the second equation to eliminate the term for 4x:

-2(2x + 4y = 28) -> -4x - 8y = -56
4x + 5y = 45.50
_____________
-3y = -10.50
y = 3.50

Now, we can substitute this value of y into either equation to solve for x. Let's use the first equation:

2x + 4(3.50) = 28
2x + 14 = 28
2x = 14
x = 7

Therefore, the cost of one adult ticket is $7 and the cost of one youth ticket is $3.50.

c. To find out how much it would cost two adults and five youths to attend the game, we can simply multiply the cost of each ticket by the number of tickets:

2 adults * $7/adult ticket = $14
5 youths * $3.50/youth ticket = $17.50

Therefore, it would cost two adults and five youths a total of $31.50 to attend the game.

The events A and B are mutually exclusive. If P(A) = 0.2 and P(B) = 0.4, what is P(A or B)?
Round your answer to two decimal places.

Answers

If events A and B are mutually exclusive, that means they cannot happen at the same time. So, to calculate the probability of either event A or event B happening, we can simply add their probabilities.

P(A or B) = P(A) + P(B)

However, since events A and B are mutually exclusive, we need to subtract the probability of their intersection (P(A and B)) from the sum:

P(A or B) = P(A) + P(B) - P(A and B)

But, since events A and B are mutually exclusive, their intersection is empty, so P(A and B) = 0:

P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.2 + 0.4 - 0
P(A or B) = 0.6

Therefore, the probability of either event A or event B happening is 0.6.

Product -72 and sum -6

Answers

The ordered pair that respect the given conditions are: (6,-12) and (-12,6).

System of Equations

A system of equations is the given term of math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations by substitution or adding methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

You should convert the text of the question into equations. See below.

Product = -7 -> xy= -72 (1)Sum= -6 ->  x+y=-6      (2)

From equation 1, you have x=-72/y. Thus, applying the substitution method, you can solve this question by following the steps below:

   

1) Replace  x=-72/y into equation 2. Then, you have:

[tex]\frac{-72}{y} +y=-6\\ \\[/tex]

-72+y²=-6y

y²+6y-72=0

2) Solving the quadratic equation y²+6y-72=0 for finding y:

Δ=b²-4ac

Δ=6²-4*1*(-72)

Δ=36+288

Δ=324

[tex]y=\frac{-b\pm \sqrt{\Delta} }{2a} =\frac{-6\pm \sqrt{324} }{2*1}=\frac{-6\pm18 }{2}[/tex]. Therefore,

y1=(-6-18)/2=-12

or

y2=(-6+18)/2=12/2=6

3) Finding x

If  x=-72/y and y=-12 or y=6. You have

For y=-12, x=-72/-12, thus x=6

For y=6, x=-72/6, thus x=-12

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Type the correct answer in each box. Assume π = 3.14. Round your answer(s) to the nearest tenth. 90° 30° In this circle, the area of sector COD is 50.24 square units. The radius of the circle is units, and m AB is units.​

Answers

Therefore, the length of segment AB is approximately 7.4 units.

What is area?

Area is a mathematical concept that describes the size of a two-dimensional surface. It is a measure of the amount of space inside a closed shape, such as a rectangle, circle, or triangle, and is typically expressed in square units, such as square feet or square meters. The area of a shape is calculated by multiplying the length of one side or dimension by the length of another side or dimension. For example, the area of a rectangle can be found by multiplying its length by its width.

Here,

To find the radius of the circle, we can use the formula for the area of a sector:

Area of sector = (θ/360) x π x r²

where θ is the central angle of the sector in degrees, r is the radius of the circle, and π is approximately 3.14.

We're given that the area of sector COD is 50.24 square units and the central angle of the sector is 90°. So we can plug in these values and solve for r:

50.24 = (90/360) x 3.14 x r²

50.24 = 0.25 x 3.14 x r²

r² = 50.24 / (0.25 x 3.14)

r² = 201.28

r = √201.28

r ≈ 14.2

Therefore, the radius of the circle is approximately 14.2 units.

Next, we need to find the length of segment AB. Since AB is a chord of the circle, we can use the formula:

AB = 2 x r x sin(θ/2)

where θ is the central angle of the sector in degrees, r is the radius of the circle, and sin() is the sine function.

We're given that the central angle of sector COD is 30°. So we can plug in this value and the radius we found earlier to solve for AB:

AB = 2 x 14.2 x sin(30/2)

AB = 2 x 14.2 x sin(15)

AB ≈ 7.4

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CDs are on sale for $5 each. Jennifer has $45 and wants to buy as many as she can. How many CDs can Jennifer buy?​

Answers

Answer:

9 CDs

Step-by-step explanation:

r u d0mb? 45 divided by 5 = 5 10 15 20 25 30 35 40 45

count the numbers

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NEXT TIME PAY ATTENTION IN 2ND GRADE

a point is chosen at random on ak. what is the probability that the point will be on bg. dont forget to reduce

Answers

there is a 20% chance that the point chosen at random will lie on bg.

To find the probability that a point chosen at random will be on the line segment bg, we need to consider the length of bg in relation to the length of the entire line segment ak.

Let us assume that ak is a straight line segment, and bg is a smaller segment that lies entirely within it. To find the probability, we need to divide the length of bg by the length of ak.

Let the length of bg be x and the length of ak be y. Then the probability that a point chosen at random will be on bg is:

Probability = Length of bg / Length of ak

Probability = x / y

However, we need to be careful here. If we choose a point anywhere on ak, it may not necessarily lie on bg. There are an infinite number of points on ak, but only one segment bg. Therefore, the probability we are looking for is actually the ratio of the lengths of bg to ak.

So, if we know the lengths of bg and ak, we can find the probability by dividing them. For example, if bg is 2 units long and ak is 10 units long, the probability of choosing a point on bg is:

Probability = 2 / 10

Probability = 0.2 or 20%

In this case, there is a 20% chance that the point chosen at random will lie on bg.

In conclusion, the probability of a point chosen at random on ak being on bg is directly proportional to the length of bg in relation to the length of ak. Therefore, we need to find the ratio of the lengths of the two line segments to determine the probability.

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what is the probability  a point is chosen at random on ak and then the point will be on bg. dont forget to reduce the products?

4) 6 out of the 80 dogs in a shelter were adopted yesterday. Express adopted rate as a percent.

Answers

Answer:

Step-by-step explanation:

To find the adoption rate as a percentage, we need to divide the number of dogs adopted by the total number of dogs in the shelter, then multiply by 100.

adoption rate = (dogs adopted / total dogs) * 100%

adoption rate = (6 / 80) * 100%

adoption rate = 0.075 * 100%

adoption rate = 7.5%

Therefore, the adoption rate as a percent is 7.5%.

Expand and simplify completely
[tex]x(x+(1+x)+2x)-3(x^2-x+2)[/tex]

Answers

Answer:

x²  + 4x - 6

Step-by-step explanation:

x(x + (1 + x) + 2x) - 3(x² - x + 2) ← simplify parenthesis on left

= x(x + 1 + x + 2x)  - 3(x² - x + 2)

= x(4x + 1) - 3(x² - x + 2) ← distribute parenthesis

= 4x² + x - 3x² + 3x- 6 ← collect like terms

= x² + 4x - 6

The windows to a Tudor-style home create many types of quadrilaterals. Use the picture of the window below to answer the following questions.

Please help me I will give literally anything

a. Determine which type of quadrilaterals you see. Name these quadrilaterals using the labeled vertices.
b. What properties of quadrilaterals would you have to know to identify the parallelograms in the picture? Be specific as to each type of parallelogram by using the properties between sides, angles, or diagonals for each.

Answers

Answer:

I'd be happy to help!

a. From the picture of the window, we can identify the following quadrilaterals:

Rectangle: ABCD (all angles are right angles and opposite sides are parallel and congruent)

Parallelogram: EFGH (opposite sides are parallel and congruent)

Trapezoid: BCGH (at least one pair of opposite sides are parallel)

b. To identify the parallelograms in the picture, we would need to know the following properties of parallelograms:

Opposite sides are parallel and congruent

Opposite angles are congruent

Diagonals bisect each other

Using these properties, we can identify the following parallelograms in the picture:

Parallelogram EFGH: Opposite sides EF and GH are parallel and congruent, and opposite sides EG and FH are also parallel and congruent. Additionally, angles E and G are congruent, and angles F and H are congruent.

Rectangle ABCD: Opposite sides AB and CD are parallel and congruent, and opposite sides AD and BC are also parallel and congruent. Additionally, angles A and C are congruent, and angles B and D are congruent. The diagonals AC and BD bisect each other, meaning that they intersect at their midpoints.

Step-by-step explanation:

taking a whole number, how do you know if there is a number that you can multiply by itself to get it

Answers

If a whole number has a whole number square root, it means that there exists a number that you can multiply by itself to get that number.

Let us understand this statement by taking example, the whole number 9 has a whole number square root, which is 3. This means that 3 multiplied by itself gives 9: 3 x 3 = 9. Similarly, the whole number 16 has a whole number square root, which is 4. This means that 4 multiplied by itself gives 16: 4 x 4 = 16.

However, not all whole numbers have whole number square roots. For example, the whole number 2 does not have a whole number square root, which means that there is no whole number you can multiply by itself to get 2. In this case, we would say that 2 is an "irrational" number, because its square root is not a whole number or a fraction of whole numbers.

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Match the definition:HistogramBinDescriptive StaticsMeanMedianModeStandard deviationA. The scatter around a central pointB. is a measure of a data’s variabilityC. is a graph of the frequency distribution of a set of dataD. values calculated from a data set and used to describe some basic characteristics of the data setE. a group in a histogramF. the middle value of a sorted set of dataG. is the most commonly occurring value in a data set

Answers

The matches of Histogram, Bin, Descriptive Statistics, Mean, Median and Standard Deviation are C, E, D, A, F, G and B respectively.

The Match the definition are given.

Histogram - C). is a graph of the frequency distribution of a set of data

Bin - E). a group in a histogram

Descriptive Statistics - D). values calculated from a data set and used to describe some basic characteristics of the data set

Mean - A). The scatter around a central point

Median - F). the middle value of a sorted set of data

Mode - G). is the most commonly occurring value in a data set

Standard Deviation - B). is a measure of a data’s variability

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HELP! I WILL AMKE YOU BRAINLIEST BC THIS IS DUE TODAY!!!

Answers

Answer: 27.3

Step-by-step explanation:

I took the outcomes of the Aces from the trial and found the average and the answer I got was 27.3%

Hope this helps.

Each square has a side length of 12 units. Compare the areas of the shaded regions in the 3 figures. Which figure has the largest shaded region? Explain or show your reasoning.

Answers

Answer:

The shaded region in all of the answers are equal.

Step-by-step explanation:

Since squares have equal sides, the area of each square is 12 squared or 144.

The area of the circle in A is pi*radius squared. The diameter is 12, because that is the side length of the square. This means the radius is 6 because the radius of a circle is always half the diameter. So, the area equals 36pi.

The area of the shaded region of A is 144-36pi.

In B, the diameter of each circle is half of what it was in the circles in answer A. So, the diameter is 6 and the radius is 3. The area of each circle is 9pi, and 9 pi * 4 circles is 36pi.

The area of the shaded region of B is 144-36pi.

In C, the diameter of each circle is a third of what it was in the circles in answer A. So, the diameter is 4, and the radius is 2. The area of each circle is 4pi, and 4pi * 9 circles is 36pi.

The area of the shaded region of C is 144-36pi.

Please help! 20 points
Order the simplification steps of the expression below using the properties of rational exponents.

Answers

Given: We have the expression [tex]\sqrt[3]{875x^5y^9}[/tex]

Step-1: [tex]\sqrt[3]{875x^5y^9}[/tex]

Step-2: [tex](875\times x^5 \times y)^{1/3}[/tex]                              [break the cube root as power [tex]1/3[/tex]]

Step-3: [tex](125.7)^{1/3}\times x^{5/3} \times y^{9/3}[/tex]                    [break [tex]875=125\times7[/tex]]

                                                                     [tex]125=5^3[/tex]

Step-4: [tex](5^3)^{1/3}\times7^{1/3}\times x^{(1+2/3)}\times y^{9/3}[/tex]       [ [tex]\frac{5}{3} =1+\frac{2}{3}[/tex] ]

Step-5: [tex]5^1\times7^{1/3}\times x^1\times x^{2/3}\times y^{3}[/tex]                [break the power of [tex]x[/tex]]

Step-6: [tex]5\times x\times y^{3} \ (7^{1/3}\times x^{2/3})[/tex]

Step-7: [tex]5xy^3 \ (7x^2)^{1/3}[/tex]

Step-8: [tex]5xy^3\sqrt[3]{7x^2}[/tex]

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The box plots show a random sample of wait times for two rides at a water park

Answers

The median wait time for Speed Slide is 2 minutes longer than the median wait time for Wave Machine and the IQR for both rides is 6 minutes.

Define the term box plot?

A box plot, also known as a box and whisker plot, is a graphical representation of a data set that shows the distribution of the data along a number line.

In the box plots show a random sample of wait times for two rides at a water park is shown in figure.

If we compare the wait times in the box plots,

then for, Speed Slide: Median = 11

IQR= Q1 - Q3           (Calculation formula of IQR)

      = 12 - 6

IQR = 6 minutes

for wave slide: median: 9

IQR= Q1 - Q3           (Calculation formula of IQR)

      = 11 - 9

IQR = 2 minutes

The median wait time for Speed Slide is 2 minutes longer than the median wait time for Wave Machine and the IQR for both rides is 6 minutes.

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Help me find the value of x

Answers

Answer:

x = 30

Step-by-step explanation:

We know

The three angles must add up to 180°. We know one is 20°, so the other two must add up to 160°.

2x + 3x + 10 = 160

5x + 10 = 160

5x = 150

x = 30

Dish A had cells with a radius of 5.1 x10-10 cm. Dish B had cells that had a radius of 4.1 x 10-8 cm. What is the sum of the radii of the two types of cells, using scientific notation?

Answers

Answer:

Step-by-step explanation:

To find the sum of the radii of the two types of cells in scientific notation, we need to add the two radii together. However, the radii are given in different orders of magnitude (exponents), so we need to convert one of the radii to match the order of magnitude of the other radius.

The radius of dish A cells is 5.1 x 10^-10 cm.

The radius of dish B cells is 4.1 x 10^-8 cm.

We can convert the radius of dish A cells to match the order of magnitude of dish B cells by multiplying it by 100 (10^2), which gives us:

5.1 x 10^-10 cm x 10^2 = 5.1 x 10^-8 cm

Now that both radii have the same order of magnitude (10^-8), we can add them together to get the total sum of the radii:

5.1 x 10^-8 cm + 4.1 x 10^-8 cm = 9.2 x 10^-8 cm

Therefore, the sum of the radii of the two types of cells, in scientific notation, is 9.2 x 10^-8 cm.

Answer:9.2 x 10^-8 cm.

Step-by-step explanation:

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