What is the displacement of the red ball between 0 s and 24 s

Answers

Answer 1

Answer:

12s

Step-by-step explanation:

Because 24 divided by 2 is 12

Answer 2

Answer:

Step-by-step explanation:


Related Questions

PLEASE HELP I WILL MARK YOU BRAINLIEST

Of the 32 Frisbees Toby bought at Frisbees R Us, 13 were blue and the rest had cat pictures. How many frisbees had cat pictures on them?

Answers

Answer:

19 frisbees had cat pictures on them

Step-by-step explanation:

32 (total) - 13 (blue) = 19 (the cat ones)

Answer:

THERE ARE TOTAL 19 FRISBEES with CAT PICTURES.

Step-by-step explanation:

32 Frisbees were BOUGHT by TOBY.

1. The TEXT says 13 were blue.

We have already identified the amount of BLUE frisbees.

2. We CAN SUBTRACT the 13 blue from the ORIGINAL 32 frisbees.

32 - 13 = 19

THERE ARE TOTAL 19 FRISBEES with CAT PICTURES.

what is another name for a chord that passes through the center of the circle? A) Diameter B) Circumference C) center D) radius

Answers

Answer:

A

Step-by-step explanation:

diameter

The another name for the chord that passes through the center of the circle is the diameter.

The correct option is (A).

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point.

As per the given data:

We have to find out the alternate name for a chord that passes through the center of a circle out of the given options.

Diameter:

It's a chord that passes through the center and touches the ends of the circumference of the circle.

Hence, this is correct.

Circumference:

It's the length of the boundary of a circle, hence this cannot be a chord.

This is incorrect.

Center:

It's a point and a chord is a line, hence this cannot be true.

Radius:

A radius is not a chord, as it does not touch the endpoints on the circumference of the circle.

The another name for the chord that passes through the center of the circle is the diameter.

Hence, The another name for the chord that passes through the center of the circle is the diameter.

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30,000 times 8 thank you for answering.

Answers

Answer:

240,000

Step-by-step explanation:

have a nice day

a tree has degree sequence (6,6,6,6,4,...), where the rest of the vertex degrees are either 2 or 1. find the number of vertices with degree 1.

Answers

The tree has 11 vertices with degree 1.

To find the number of vertices with degree 1 in a tree with degree sequence (6,6,6,6,4,...), we can use the Handshaking Lemma. This lemma states that the sum of all vertex degrees in a graph is twice the number of edges. In a tree, the number of edges is one less than the number of vertices, so we can write:

6+6+6+6+4+...+2+2+1+1 = 2n-1

where n is the number of vertices. Simplifying this equation gives:

n = (6+6+6+6+4+...+2+2+1+1+1)/2 + 1

The term inside the parentheses is the sum of all vertex degrees, which we know from the degree sequence. Plugging in the values and simplifying, we get:

n = 18

So the tree has 18 vertices. Since we know that the rest of the vertex degrees are either 2 or 1, we can subtract the six vertices with degree 6 and the one vertex with degree 4 to get:

18 - 6 - 1 = 11

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Solve |2x + 3 = 11.
OA. x4 and x = -7
OB. x = 4 and x = -4
OC. x = -4 and x = 7
OD. x = -4 and x = -7

Answers

The answer choice which represents the solutions of the given absolute value equation as given is; Choice A. x =4 and x = -7.

What is the solution of the absolute value equation?

Since it follows from the task content that the given absolute value equation is;

| 2x + 3 | = 11.

Hence, the equation can be solved as follows;

2x + 3 = 11. OR 2x + 3 = -11

2x = 11 - 3. OR. 2x = -11 - 3

2x = 8. OR 2x = -14

x = 4. OR. x = -7.

It therefore follows that the values of x which hold true for the given equation are: x = 4 and x = -7.

Ultimately, the correct answer choice is; Choice A. x =4 and x = -7.

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X = [?]°
Dr.
X Х
As
140°
B
C

X = [?]Dr.X As140BC

Answers

Answer:

40°

Step-by-step explanation:

x+140=180°(angle on a straight line)

x=180-140

x=40°

∠DBA and ∠DBC are making linear pair.

Linear pair of angles are formed when two lines intersect each other at a single point.

The sum of angles of a linear pair is always equal to 180°

\( \rm \large\longrightarrow \: \: x \: + \: 140 \degree \: = \: 180 \degree\)

\(\rm \large\longrightarrow \: \: x \: = \: 180 \degree \: - \: 140 \degree \: \)

\(\rm \large\longrightarrow \: \: x \: = \: 40 \degree\)

find the unit rate

$28 for 7 people

Answers

Answer: 4 dollars per person .  that would be it .

Step-by-step explanation:

Answer:

4$ per 1 person

Step-by-step explanation:

Hello people ~
what's the sum of 7th odd number & 13th even number?​

Answers

Answer:

13+26=39

Step-by-step explanation:

the 7th odd number is 13 and 13th even is 26

Answer:

\(\displaystyle 39\)

Step-by-step explanation:

\(\displaystyle 39 = 13 + 26 \Rightarrow 39 = 13 + 2[13]\)

On a hundred chart, you will see that the seventh odd number is \(\displaystyle 13,\)and the thirteenth even number is self-explanatory, so you should know what occurs there.

I am joyous to assist you at any time.

1. A random sample of 400 married couples was selected from a large population of married couples. There were 20 couples in which the wife was taller than her husband, and there were 380 couples in which the wife was shorter that her husband. Find a 95 percent confidence interval for the proportion of married couples in the population for which the wife is taller than her husband. Interpret your interval in the context of this question.

Answers

Answer:

\(CI = (0.028636,0.071364)\)

I am 95% confident that the true proportion of couples where the wife is taller than her husband is captured in the interval (.028, .071)

Step-by-step explanation:

Given

\(n = 400\)

\(x = 20\) --- taller wife

\(y = 380\) --- shorter wife

Required

Determine the 95% confidence interval of taller wives

First, calculate the proportion of taller wives

\(\hat p = \frac{x}{n}\)

\(\hat p = \frac{20}{400}\)

\(\hat p = 0.05\)

The z value for 95% confidence interval is:

\(z = 1.96\)

The confidence interval is calculated as:

\(CI = \hat p \± z \sqrt{\frac{\hat p (1 - \hat p)}{n}}\)

\(CI = 0.05 \± 1.96* \sqrt{\frac{0.05 (1 - 0.05)}{400}}\)

\(CI = 0.05 \± 1.96 * \sqrt{\frac{0.0475}{400}}\)

\(CI = 0.05 \± 1.96 * \sqrt{0.00011875}\)

\(CI = 0.05 \± 1.96 * 0.01090\)

\(CI = 0.05 \± 0.021364\)

This gives:

\(CI = (0.05 - 0.021364,0.05 + 0.021364)\)

\(CI = (0.028636,0.071364)\)

me podrian decir como hacer esto
(x + 3) 3 =
me podrian decir como resolverlo plis

Answers

Answer:

x=0

Step-by-step explanation:

Reste 3 por cada lado de la ecuación y luego simplifique :)

Suppose there are two producers in a market with the following supply functions. Supply 1: P=6+0.7Q Supply 2:P=16+0.6Q When the price is [Answer], the total quantity supplied is 250. (In decimal numbers, with two decimal places, please.) Answer:

Answers

The price at which the total quantity supplied is 250 is $11.58.

In order to find the price at which the total quantity supplied is 250, we need to equate the total quantity supplied by both producers (Supply 1 and Supply 2) and solve for the price.

Supply 1: P = 6 + 0.7Q

Supply 2: P = 16 + 0.6Q

To find the equilibrium price, we set the total quantity supplied equal to 250:

0.7Q + 0.6Q = 250

1.3Q = 250

Q = 250 / 1.3 ≈ 192.31

Now that we have the quantity, we can substitute it back into either supply function to find the price. Let's use Supply 1:

P = 6 + 0.7Q

P = 6 + 0.7 * 192.31

P ≈ 6 + 134.62

P ≈ 140.62

Therefore, the price at which the total quantity supplied is 250 is approximately $11.58.

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Write an equation that passes through (4,-3) and is perpendicular to y=1/2x-3

Answers

Given:

The equation of a line is y = (1/2)x-3.

Another line passes perpendicular to the first line through the point,

\((x_1,y_1)=(4,-3)\)

The objective is to find the equation of the second line.

Explanation:

In general, the product of the slope of perpendicular lines will be -1.

Consider the slope of the first-line as m1 and the slope of the second-line is m2.

To find m1:

From the given equation, the slope of the first line will be,

\(m_1=\frac{1}{2}\)

To find m2:

Then, the slope of the second line can be calculated as,

\(\begin{gathered} m_1\times m_2=-1 \\ m_2=-\frac{1}{m_1} \\ m_2=-\frac{1}{\frac{1}{2}} \\ m_2=-2 \end{gathered}\)

To find the equation of the second line:

The equation of a line using the slope and the point can be calculated as,

\(y-y_1=m_2(x-x_1)\)

On plugging the obtained values in the above equation.

\(\begin{gathered} y-(-3)=-2(x-4) \\ y+3=-2x+8 \\ y=-2x+8-3 \\ y=-2x+5 \end{gathered}\)

Hence, the equation of the line is y=-2x+5.

A survey of 170 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take notes. The result of the survey is that 68 of the 170 students responded "yes." An approximate 98% confidence interval is (0.313,0.487). Complete parts a through d below. a) How would the confidence interval change if the confidence level had been 90% instead of 98% ? The new confidence interval would be The new confidence interval would be (Round to three decimal places as needed.) b) How would the confidence interval change if the sample size had been 255 instead of 170 ? (Assume the same sample proportion.) The new confidence interval would be The new confidence interval would be (.203,.331). (Round to three decimal places as needed.) c) How would the confidence interval change if the confidence level had been 99% instead of 98% ? The new confidence interval would be The new confidence interval would be (Round to three decimal places as needed.)

Answers

a) If the confidence level had been 90% instead of 98%, the new confidence interval would be (0.325, 0.475).

b) If the sample size had been 255 instead of 170, the new confidence interval would be (0.292, 0.508).

c) If the confidence level had been 99% instead of 98%, the new confidence interval would be (0.304, 0.496).

a) First, we find the mean of the original confidence interval:

Mean = (Lower Limit + Upper Limit) / 2 = (0.313 + 0.487) / 2 = 0.4

Margin of Error = (Upper Limit - Mean) = (0.487 - 0.4) / 2 = 0.0435

New Margin of Error = Margin of Error * \((Z_{90} / Z_{98})\)

where \(Z_{90}\) is the critical value for a 90% confidence level, and \(Z_{98}\) is the critical value for a 98% confidence level.

From the standard normal distribution table, we find:

\(Z_{90}\) ≈ 1.645

\(Z_{98}\) ≈ 2.326

New Margin of Error = 0.0435 * (1.645 / 2.326) ≈ 0.0306

Finally, we construct the new confidence interval using the adjusted margin of error:

New Confidence Interval = (Mean - New Margin of Error, Mean + New Margin of Error)

                     = (0.4 - 0.0306, 0.4 + 0.0306)

                     ≈ (0.3694, 0.4306)

Therefore, the new confidence interval at a 90% confidence level would be approximately (0.369, 0.431) when rounded to three decimal places.

b) Standard Error = \(\sqrt{(p_{hat} * (1 - p_{hat})) / n}\)

where \(p_{hat}\) is the sample proportion and n is the sample size.

Given that the sample size increases to 255 while the sample proportion remains the same, the new sample proportion is:

\(p_{hat}\) = 68 / 255 ≈ 0.267

Standard Error = sqrt((0.267 * (1 - 0.267)) / 255) ≈ 0.028

For a 98% confidence level, the critical value is \(Z_{98}\) ≈ 2.326.

New Margin of Error = \(Z_{98}\) * Standard Error = 2.326 * 0.028 ≈ 0.065

New Confidence Interval = (\(p_{hat}\) - New Margin of Error, \(p_{hat}\) + New Margin of Error)

                     = (0.267 - 0.065, 0.267 + 0.065)

                     ≈ (0.202, 0.332)

Therefore, the new confidence interval with a sample size of 255 would be approximately (0.202, 0.332) when rounded to three decimal places.

c) From the standard normal distribution table, we find:

\(Z_{99}\) ≈ 2.576

New Margin of Error = Margin of Error * (\(Z_{99}\) / \(Z_{98}\)) = 0.0435 * (2.576 / 2.326) ≈ 0.0482

New Confidence Interval = (Mean - New Margin of Error, Mean + New Margin of Error)

                     = (0.4 - 0.0482, 0.4 + 0.0482)

                     ≈ (0.3518, 0.4482)

Therefore, the new confidence interval at a 99% confidence level would be approximately (0.352, 0.448) when rounded to three decimal places.

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There are 14 dogs at the dog park on a busy Saturday. 2 of them are springer spaniels.
What is the probability that a randomly selected dog is a springer spaniel?
Write your answer as a fraction or whole number.

Answers

Answer:1/7

Step-by-step explanation: You take the amount that are springer spaniels and you put them with the whole of the dogs in the park 14 so you would have 2/14. You can reduce this fraction to 1/7 by dividing both the top and bottom of the fraction by 2.

If the length of a rectangle is decreased by 4 cm and the width is increased by 5 cm, the result will be a square. The area of the square will be 40 cm greater than the area of the rectangle. Find the area of the rectangle.

Answers

The area of the rectangle is found to be 20 - 2·√(10) sq. units.

Explain about the area of rectangle?The territory a rectangle occupies inside its 4 sides or limits is known as its area. In fact, the length and width of the rectangle multiplied jointly gives the area of the rectangle.

Let x be the length of the rectangle.

Let y be the width of rectangle.

Then, length is reduced by 4 and with is increased by 5.

x - 4 = y + 5 , (becomes square) ....eq 1

Area of square = 40 cm²

Then,

(x - 4) × (y + 5) = 40 cm²

From eq 1

(y + 5) × (y + 5) = 40 cm²

y² + 10y + 25 = 40

y² + 10y + 25 - 40 = 0

y² + 10y - 15 = 0

Solving equation by quadratic formula:

y = -5 + 2·√(10)

Then, for x:

x - 4 = 5 + -5 + 2·√(10) = 2·√(10)

x = 4 + 2·√(10)

Now,

Area of the rectangle, A = x × y

Put the values:

A = (-5 + 2·√(10)) × (4 + 2·√(10))

A = 20 - 2·√(10)

Thus, the area of the rectangle is found to be 20 - 2·√(10) sq. units.

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Answer: 360cm^2

Step-by-step explanation: the rectangle is 24 by 15

Two boxes have the same volume. One box has a base that is 5 cm by 5 cm. The other box has a base that
is 10 cm by 10 cm.
How many times as toll is the box with the smaller base?
times as tall
Can somebody please help me out this test is due tomorrow and this is hard

Two boxes have the same volume. One box has a base that is 5 cm by 5 cm. The other box has a base thatis

Answers

answer:

4 times as tall

hope this help:))

Answer:

4 times

Step-by-step explanation:

Hope this helps!

Mason has already run 7 miles on his own, and he expects to run 1 mile during each track
practice. How many track practices would it take for Mason to run 26 miles?

Answers

Answer:

it would take him 19 track practices

Step-by-step explanation:

26miles - 7miles= 19miles

Solve the equation t − 3 = 17 for t.
−20
20
−14
14
I already searched the question and none of the answers I saw were an option.

Answers

The equation can be solved by adding 3 to both sides of the equation.

Solve the equation t − 3 = 17 for t?To solve the equation t − 3 = 17, we need to add 3 to both sides of the equation. Doing so, we get t = 17 + 3 = 20. Therefore, the value of t is 20.In this case, the variable is t. The equation t - 3 = 17 has 3 subtracted from t on the left side, so to isolate t, we must add 3 to both sides to make the equation equal. Once we do this, we are left with t = 20.The equation t − 3 = 17 is an equation with a single variable, t.The equation t - 3 = 17 is a simple algebraic equation that can be solved by performing the inverse operation of subtraction. To solve this equation, we must first add 3 to both sides of the equation.Therefore, the solution to the equation t - 3 = 17 is t = 20.The equation can be solved by adding 3 to both sides of the equation. When 3 is added to the left side of the equation, it cancels out the -3, leaving just t. When 3 is added to the right side of the equation, it increases the value of the right side from 17 to 20. Therefore, the equation t − 3 = 17 can be solved by adding 3 to both sides, which results in the equation t = 20.This means that the value of t is 20.

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Find the GCF of each pair of numbers.

1) 6,15 ________

2) 30,48 __________

Find the LCM of each pair of numbers.

3) 6 and 9 _________

4) 12 and 30 ____________


KEY 240=i 3=g 18=d 30=e 20=t 60=l 6=a
_ _ _ _
#1 #2 #3 #4

Answers

Answer:

Okay, here are the GCF (Greatest Common Factor) and LCM (Lowest Common Multiple) for each pair of numbers:

   6,15 ________

   GCF = 3

   30,48 __________

   GCF = 30

   6 and 9 _________

   LCM = 18

   12 and 30 ____________

   LCM = 60

KEY:

240=i 3=g 18=d 30=e 20=t 60=l 6=a

#1 #2 #3 #4

Let me walk through the steps for each problem:

   To find the GCF of 6 and 15:

   Find all factors of 6: 1, 2, 3, 6

   Find all factors of 15: 1, 3, 5, 15

   The greatest common factor is 3.

   The GCF of 30 and 48 is 30.

   To find the LCM of 6 and 9:

   Find all factors of 6: 1, 2, 3, 6

   Find all factors of 9: 1, 3, 9

   The lowest common multiple that contains all factors is 18.

   The LCM of 12 and 30 is 60.

Does this help explain the steps and solutions? Let me know if you have any other questions! I can also show additional examples if needed.

Let me know if you understand the GCF and LCM concepts and are able to proceed to the key. I can explain that part in more detail.

Step-by-step explanation:

Someone help me pleaseeeee

Someone help me pleaseeeee

Answers

Answer:

36°.

Step-by-step explanation:

To find this, we will simply need to know that the sum of the angles of a triangle is 180°. This means that in order to find the measure of the third angle, we will need to subtract the others from 180°.

180 - 99 - 45 = 36°.

The measure of the third angle is 36°.

Translate and solve:
m decreased by 12 is equal to negative 3.

Answers listed:
-9
15
-15
9

Answers

Answer:

The answer is C which is 15

Step-by-step explanation:

M decreased by 12 is equal to negative 6

That means:

12 - M = -3

or, 12 - (-3) = M

or, M = 12 + 3

. °. M = 15 Ans

Answer:

m=15

Step-by-step explanation:

m-12=3

add 12 both sides

m=15

A bank requires that its customers create a PIN to access their account. The PIN must be 1 letter followed by 3 numbers. How many unique PINs are there?

Answers

Answer:

26,000

Step-by-step explanation:

There are 4 places to be filled.

_ _ _ _

Now we put in each place the number of possible characters that can go there.

26 10 10 10

Finally we multiply all the numbers together.

26 * 10 * 10 * 10 = 26,000

Answer: 26,000

If a person's eye level is h meters above sea level and she can see d kilometers to the horizon, then d=3.6square rooth. Suppose the person can see 17.1 kilometers to
the horizon, What is the height of her eye level above sea level?
Carry your intermediate computations to at least four decimal places, and round your answer to the nearest tenth.
meters

Answers

Answer:

The height is 39 meters above sea level

Step-by-step explanation:

The function that relates the person's eye level above sea level (h) and the kilometers the person can see to the horizon (d) is:

d = 3.6*√h

If the person can see  22.5  kilometers to the horizon, then  the height of her eye level above sea level is obtained replacing this d value in the equation and solving for h, as follows:

22.5 = 3.6*√h

22.5/3.6 = √h

6.25^2 = h

h ≈ 39

name me brainliest please.

sin(x)=cos(30)
what's the value of X​

Answers

To find the value of x when sin(x) is equal to cos(30°), we can use the trigonometric identity:

sin(x) = cos(90° - x)

Using this identity, we can rewrite the equation as:

cos(90° - x) = cos(30°)

For two angles to be equal, their cosine values must also be equal. Therefore, we have:

90° - x = 30°

Subtracting 30° from both sides, we get

90° - 30° = x

To find the value of x, we need to determine the angle whose sine is equal to √3/2. This angle is 60 degrees, or π/3 radians. This can be verified by looking at the unit circle or by using inverse trigonometric functions.

Simplifying, we have:

60° = x

Therefore, the value of x that satisfies the equation sin(x) = cos(30°) is x = 60°.

Note that trigonometric functions are periodic, meaning there are infinitely many angles that satisfy a given equation.

In this case, the equation sin(x) = cos(30°) holds true for any angle x that is equivalent to 60° modulo 360°.

So, we could also write the solution as x = 60° + 360°n, where n is an integer representing the number of complete revolutions around the unit circle.

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For a business meeting, Jenna is making copies of her presentation. The more people
who plan to attend, the more copies Jenna will have to make.
Which of the variables is independent and which is dependent?
Independent (Select]
<
Dependent [Select ]

Answers

Answer:

Independent: The people who attend.

Dependent: The copies she has to make.

Step-by-step explanation:

She will make a certain amount of copies depending of how many people attend.

How many gallons are in 4 pints simplify a right or answer as an improper fraction 

Answers

Answer:

The answer is 1/2 gallon.

Step-by-step explanation:

1 gallon is equal to 8 pints, so 4 pints is equal to 4/8 = 1/2 gallon. The answer is 1/2 gallon.

What is the slope of the line that contains the points (-2,7) and (2,3)?

Answers

The slope of a line that passes through the points (-2,7) and (2,3) is y=-1x+5. The slope is -1

Find the rate of discount for a pair of pants that cost 65$ and are on sell for 39

Answers

Answer: 65 - $39 = $26 >> amount you save

26 / 65 = 0.4 = 40% >> discount rate

Step-by-step explanation:

Jeff decided to paint some of the rooms in his hotel. He found out that one room required 2/5 cans of paint. If Jeff buys 14 cans of paint, how many rooms can he paint?

Answers

Answer:

5 3/5

Step-by-step explanation:

14 x 2 = 28,

28/5 = 5 remainder 3

when establishing the confidence interval for the average weight of a cereal box, assume that the population standard deviation is known to be 2 ounces and is normally distributed. based on a sample, the average weight of a sample of 20 boxes is 16 ounces. the appropriate test statistic to use is .

Answers

Answer:

T-statistic

Step-by-step explanation:

As the sample size is less than 30, the t-statistic is the more appropriate test statistic. If it were greater than 30, then the t-statistic distribution and normal distribution would be indistinguishable, making the z-statistic a more preferable choice.

Other Questions
If Moroccan shepherds allow their livestock to over-graze their land, the plants can no longer protect the fertile top soil from being removed by wind and rain. What can turn fertile soil into barren, arid land. Random variables X and Y have the joint PDF(a) What is the value of the constant c?(b) What is P[X < Y]?(c) What is P[X + Y 1/2]? A toroidal solenoid of square cross-section is made with inner and outer radii of 3.0 and 4.0 cm. How many turns of wire are necessary to obtain a self-inductance of 1.15 H Kevin bought twelve 8-ounce bottles of water. How many milliliters of water did Kevin buy? (Note: 1 ounce 30 ml) Thank you for any help I may get! HELP ME ,PLS Which two countries were the dominant colonizers (conquerors) in Latin America? aFrance and Britain bSpain and Portugal cSpain and France dPortugal and France 8. When did Patrick become religious? Coming son las amigas de Rafael Write objectives for each of the following mission statements.Use SMART criteriaS-specificM=measurable (quantification)A=Actionable (turn that into action)R=Realistic (unreal)T-Time (time frame)Example:Mission statement: We will be a leader in pharmaceutical innovation.Goal/Objective: At least 25% of our sales in the next five years will be generated from new products.a. Customer satisfaction is our primary goal.b. We promise on time delivery.c. Product quality is our first priority.Now, Find a short mission statement of any company. Write it and convert it into SMART objective(s) using the same method.7. The following goals need to inform a firm's strategic planning. Modify them to be more actionable.Example:We will improve p Mary is solving the equation 3(x+4)= 7x-20. The first thing she does is rewrite the equation as shown below. 3x + 12 = 7x - 20 Which property did Mary use to get from the original equation to her rewritten equation? Adistributive property B associative property of multiplication C multiplicative property of equality D commutative property of multiplication 6. Owen weighed 3 different bugs. List the bugsin order from lightest to heaviest.BugFlySpiderBeeWeight2.5 x 10-4 ounces7.1 x 10-5 ounces4 x 10-3 ouncesA. Spider, Fly, BeeB. Fly, Bee, SpiderC. Spider, Bee, FlyD. Fly, Spider, Bee Write Case Study on Emotional Intelligence at Organization levelKindly don't Copy Paste the Answer 8. Yashari's monthly take-home pay is $1850. What percentage of her paycheck will go toward student loans if shechooses the standard repayment plan? Does that payment amount seem reasonable? Why or why not? The writers for a TV show have determined that they need to add a new character. One demographic wants the new character to be a man, or someone who can do martial arts. Another demographic wants the new character to be a woman, or someone who is a medical doctor. The writers want to please both demographics. Therefore, the new character will be someone who can do martial arts or is a medical doctor.Which rule of inference was used here?A. ConjunctionB. ResolutionC. Modus PonensD. Disjunctive SyllogismE. Hypothetical SyllogismF. AdditionG. Modus TollensH. Simplification Use the excerpt from the Slater Trust Companys Pawtucket, Past and Present; Being a Brief Account of the Beginning and Progress of Its Industries to answer the question.This description suggests that the First Industrial Revolution in the Americas wasA. a consequence of American democratic reforms.B. modeled on earlier practices used first in England.C. at first the product of very poor investments.D. encouraged by wealthy elites in New England. a solution containing a mixture of metal cations was treated as outlined. dilute hcl hcl was added and no precipitate formed. h2s h 2 s was bubbled through the acidic solution. a precipitate formed and was filtered off. the ph was raised to about 9 9 and h2s h 2 s was again bubbled through the solution. a precipitate formed and was filtered off. finally, sodium carbonate was added to the filtered solution and no precipitate formed. what can be said about the presence of each of these groups of cations in the original solution? A class named Rectangle has the following two instance variables: private int length; private int width; Write a no-argument constructor for this class that sets both length and width to the integer 5. The atmospheric pressure at 1000 m altitude is 0.868 atm.What is this pressure in Pascals?Pa The current in a 20.0-mH inductor changes with time as i = 4.00t2 7.00t, where i is in amperes and t is in seconds.(a) Find the magnitude of the induced emf at t = 1.00 s.mV(b) Find the magnitude of the induced emf at t = 4.00 s.mV(c) At what time is the emf zero? Mention five assaults in sports not mentioned in your note Does Orions Belt have retrograde motion? If so why or why not?