There are x melons and y oranges. The product of integers x and y is
539. The number of melons is 11 times of that of oranges, How many
melon(s) is / are there?

Answers

Answer 1

Answer:

77 melons

Step-by-step explanation:

[tex]11x \times x = 539 \\ 11 {x}^{2} = 539 \\ \frac{11x}{11} = \frac{539}{49} \\ {x}^{2} = 49 \\ \sqrt{ {x}^{2} } = \sqrt{49} \\ x = 7[/tex]

The oranges are 7

And the melons are 11 times the number of the oranges hence

11 x 7= 77

Answer 2

Answer:

There are 77 melons

Step-by-step explanation:

See picture below :)

There Are X Melons And Y Oranges. The Product Of Integers X And Y Is539. The Number Of Melons Is 11 Times

Related Questions

click all of the graphs that do not pass the vertical line test.
PLease help me!!!!!

Answers

Answer:

Below

Step-by-step explanation:

1 2 and 3 do not pass the vertical line test because you can draw a vertical line that will cross the graph two times

Which of the following terms represents the situation shown in the graphic below?
a glide a reflection a glide reflection
None of these choices are correct.

Answers

The term that represents the situation shown in the graphic below is B. a reflection

What is a a reflection?

A glide reflection or transflection is a symmetry operation in two-dimensional geometry that combines a reflection over a line with a translation along that line into a single operation.

An exchange of points from one side of a line with points on the other side of the mirror at the same distance from the mirror occurs when a mirror line is fixed in the plane. There is a mirror line in every reflection. A mirror reflection is followed by a translation that is parallel to the mirror to create a glide reflection.

Here, the shape is mirrored in the reflection. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another.

In conclusion, based on the information given, it should be noted that the correct option is B.

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19a - 6 = 4a please help me solve this! this is due in two days and the entire paper has 50 questions, this is only question 27!!​

Answers

Answer:

a=6/15

Step-by-step explanation:

19a-6=4a

(19-4)a=6

a=6/15

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Answer:

a= 2/5 =0.4

Step-by-step explanation:

19a−6=4a

Subtract 4a from both sides.

19a−6−4a=0

Combine 19a and −4a to get 15a.

15a−6=0

Add 6 to both sides. Anything plus zero gives itself.

15a=6

Divide both sides by 15.

a= 6/15

Reduce the fraction  6/15 to lowest terms by extracting and canceling out 3.

a=2/5

Graph the line whose equation is given in Point slope form. y+7=2(x-4)

Answers

Some of the coordinates on the graph are (0, -15), (1, -13), (2, -11).

The graph of the equation is given below.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates of the equation y + 7 = 2 (x - 4).

y + 7 = 2 (x - 4)

y = 2(x - 4) - 7

y = 2x - 8 - 7

y = 2x - 15

For x = 0,

y = - 15

(0, -15)

For x = 1,

y = 2 - 15 = -13

(1, -13)

For x = 2,

y = 4 - 15 = -11

(2, -11)

And so on...

Thus,

The graph of the equation is given below.

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(a) how many 4-permutations are there of a set of six objects? (b) how many 2-permutations are there of a set of nine objects?

Answers

There will be a total of 720 4- permutations of a set of six objects. And there will be a total of 72 2- permutations of a set of nine objects.

The calculation for 4-permutations of a set containing six objects

P(6,4)! = 6! / (6-4)1

P(6,4)! = 6×5×4×3x2

P(6,4)! = 720

Therefore, there will be a total of 720 permutations.

The calculation for 2- permutation of a set containing 9 objects

P(9,2)! = (9,7)! = (9-2) = 9! / 7!

P(9,2)! = 9×8x7! / 7!

P(9,2)! = 72

Therefore, there will be a total of 72 permutations.

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a liner function contains the following points. what are the slope and y-intercept of this function (0,2) (-3,4)

Answers

The function is actually (0,-3)(2,4)

Slope:

slope = y2-y1  = 4-(-3) = 7/2

            x2-x1      2-0

y intercept: (0,-3)

In thi coordinate plane, the ditance between each gridline repreent 1 mile. What i the ditance, in mile, between the library and the chool? You can ue the coordinate plane to help you find the anwer by plotting the two point

Answers

The distance between the library and the school using the coordinates plane is 7.28 miles.

A coordinate plane is a two-dimensional plane which is formed by the intersection of two number lines - a horizontal number line called the x-axis and is a vertical number line called the y-axis. It is a graphing and description system for points and lines. On the provided coordinate plane, the coordinate of the library is (-3,3) and the coordinate of the school is (4, 1).

The distance formula between two coordinates is given by:

d =√((x2 – x1)^2 + (y2 - y1)^2)

Using the distance formula, the distance between the library and the school are:

d =√((-3 – 4)^2 + (3 - 1)^2)

d =√((-7)^2 + (2)^2)

d =√((-7)^2 + (2)^2)

d =√(49 + 4)

d =√53

d = 7.28 miles

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114=6p

x/4=16

75=y-25

answer pls

Answers

Answer:

p = 19

x = 64

y = 100

Step-by-step explanation:

114 = 6p

Divide by 6 into both sides

p = 19

x/4 = 16

Times 4 into both sides

x = 64

75 = y - 25

Add 25 to both sides

y = 100

Given that f(x) = 2x^2 + 9x and p = f(-3), what is the value of 3p?

Answers

Answer:

–27

Step-by-step explanation:

f(x) = 2x² + 9x

f(–3) = 2(–3)² + 9(–3)

= 2(9) + –27

= 18 – 27

= –9

since p= f(–3) = –9

3p = 3 × – 9 = –27

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three less than twice an integer is greater than 1​

Answers

2x - 3 > 1

x represents an integer and 3 is less than twice an integer which is 2x. So it's 2x - 3.

2x - 3 is greater than 1.

So therefore, the answer is 2x - 3 > 1

Answer:

2x-3>1

Step-by-step explanation:

lets say x is the interger

so twice an interger would be 2*x or 2x

and three less than that would be 2x-3

and 2x-3 is greater than one

so, 2x-3>1

What is the equation of the line that passes through the points (-2,10) and (-9,-5)? Write your answer in slope intercept form

Answers

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{-9}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{-9}-\underset{x_1}{(-2)}}} \implies \cfrac{-15}{-9 +2} \implies \cfrac{ -15 }{ -7 } \implies \cfrac{ 15 }{ 7 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{ \cfrac{ 15 }{ 7 }}(x-\stackrel{x_1}{(-2)}) \implies y -10 = \cfrac{ 15 }{ 7 } ( x +2) \\\\\\ y-10=\cfrac{ 15 }{ 7 }x+\cfrac{ 30 }{ 7 }\implies y=\cfrac{ 15 }{ 7 }x+\cfrac{ 30 }{ 7 }+10\implies {\Large \begin{array}{llll} y=\cfrac{ 15 }{ 7 }x+\cfrac{100}{7} \end{array}}[/tex]

An angle measure 8 less than the measure of its supplementary angle.what is the angle measure of each angle

Answers

Step-by-step explanation:

Let the larger angle be x.

Smaller angle = x - 8

As both angles are supplementary,

x + (x - 8) = 180°

2x - 8 = 180°

2x = 188°

x = 94°

Therefore, larger angle = 94°

Smaller angle = 94° - 8° = 86°

three students attempt to define what it means for \overleftrightarrow{ab} ab a, b, with, \overleftrightarrow, on top and \overleftrightarrow{cd} cd c, d, with, \overleftrightarrow, on top to be perpendicular. \qquad 2 lines intersecting. one line is vertical with points a and b on opposite ends. the other line is horzontal with points c and d on opposite ends. they intersect at point o in the middle of both lines. can you match the teacher's comments to the definitions?

Answers

However, the information is not complete but we can see parallel lines in general to solve it.

What are parallel lines?

Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.

Define perpendicular lines.

Perpendicular lines are those that cross at a straight angle of 90 degrees.

Lines that are perpendicular to one another are those that are 90 degrees apart. In light of this definition, we could conclude that for lines lll and mmm to be perpendicular, they must intersect and form a right angle (90°) to one another.

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3(x-5) But the variable x represents 3​

Answers

Answer:

-6

Step-by-step explanation:

Do whats in the parentheses first (3-5=-2)

so you have 3(-2), and that equals -6

Answer:

[tex]\tt -6[/tex]

Step-by-step explanation:

3(x - 5) when x = 3

Substitute x with 3:-

[tex]\tt 3\left((3)-5\right)[/tex]

[tex]\tt 3\left(-2\right)[/tex]

[tex]\tt -6[/tex]

Therefore, your answer is -6!

______________________

Hope this helps you!

Have a nice day!

Peter receives a salary of rs 14 250 per month plus a commision of 6 % on all sales. find his totasl sales, given that he receives a gross salary of rs 26 250.

Answers

ANSWER:

let x as the total sales

26 250 = 14 250 + 0.06x

26 250 - 14 250 = 14 250 - 14 250 + 0.06x  (subtract 14 250 both sides)

12 000 = 0.06x

x = 200 000

CHECKING:

26 250 = 14 250 + 0.06(200 000)

26 250 = 14 250 + 12 000

26 250 = 26 250

Therefore, Peter have total sales of RS 200 000.

Step-by-step explanation:

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The heights of the starting 5 players (not including the libero) on a volleyball team like karasuno high school are 60 inches, 67 inches, 64 inches, and 65 inches. If the balance point of the players is 65, what is the height of the 5th player?.

Answers

The height of the 5th player would be 69 inches

To find the Height, first, we have to calculate the mean value.

No. of players=5

The height of 4 players is 60 inches, 67 inches, and 64 inches, 65 inches.

Mean =Sum of observations/No of observations

Mean of the  5th players=65

To find, Height of 5th player

As we know,

Assuming the height of the 5th player is x

Mean =Sum of observations/No of observations

65=(60+67+64+65+x)/5

65*5=60+67+64+65+x

325=256+x

x=69

Thus, the height of the 5th player is 69 inches.

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Samantha has a total of 12 chickens.if she has 3 times as many chickens as dogs write and sole an equation to determine the number of dogs she has.

Answers

Answer:

Samantha has a total of 12 chickens. if she has 3 times as many chickens as dogs. The correct answer is 3x = 12; x = 4.

How did we figure this out?

Samantha has a total of 12 chickens. if she has 3 times as many chickens as dogs.  First you have to divide by 3 on both sides.

⇒ 3x = 12 ⇒ x = 4  This is your answer, x = 4

Therefore, Samantha has a total of 12 chickens. if she has 3 times as many chickens as dogs. The correct answer is 3x = 12; x = 4.

Determine the value for x in the given diagram, with a || b.
35°
55°
125°
None of these choices are correct.

Answers

Answer:

125°

Step-by-step explanation:

the given problem is related to co-interior angle

so.

Mr. Harold invested $1,600 in an account
that paid him 3.25% simple interest. What
will be the balance of his account after
32 years, including interest?
A) $1,664.00
C) $16,640.00
B) $1,536.00
D) $3,264.00

Answers

Simple interest can be found using the formula:
I = prt
(Where p = money invested
r = rate of interest
t = time invested in years)

So in this problem, p = 1600, r = 3.25% or .0325 as a decimal, and t = 32.
Now just multiply everything, making sure that 3.25% is a decimal.
1600 x .0325 x 32 = 1664
So the answer is A) $1664.00

Is the data set approximately periodic?
If so, what are its period and amplitude?
Hour
Number of bikes
O
O
not periodic
1 2 3 4 5 6
7
5 19 14 4 19 15 6
8 9 10 11 12
5 20 16
22 15
periodic with period of 3 and amplitude of about 7.5
periodic with period of 4 and amplitude of about 7.5
periodic with period of 4 and amplitude of about 5

Answers

The data is A. periodic with period of 3 and amplitude of about 7.5

How to illustrate the data?

From the information, we are given the number of hours as well as the number of bikes. It should be noted that we can see that ty values are periodic as it repeats every third value.

Also, the amplitude will be the:

= Larger value - Smallest value / 3

For the first set it is 7.

For the second set it is 7.5

For the third set it is 8

For the fourth set it is:

= (20 - 5)/2

= 7.5

Therefore, the amplitude is 7.5

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The sum of 3 consecutive even numbers is 54 what’s the largest number

Answers

The largest number is 20 .

What is largest ?

There is a big number—a googolplex—that exists. It consists of 1 and 10100 zeros (googol). A googolduplex, which is an even larger number, is also present. It is 1 and over a googol zeros after that.

Let 'n' be any number, odd or even.

2n will always be even number. This is because, 2n has 2 as common factor. So, 2n is always even.

Eg: 2= 2×1, n=1 ; 4=2×2, n=2 etc

Numbers are even, consecutive.

Consecutive even numbers are 2n-2, 2n, 2n+2,

Eg : For consecutive even numbers, put n=2

2n-2=4-2=2

2n=4

2n+2 =4+2=6,

we get 2,4,6 which are consecutive even nos.

So, numbers are 2n-2, 2n and 2n+2

Their sum= 2n+2+2n+2n-2=6n

Sum=54

6n=54

n=54/6=9

So, n=9

Consecutive numbers are

2n-2= (2×9)-2=16

2n=2×9=18

2n+2=18+2=20.

So, numbers are 16, 18, 20. Their sum is 54.

The largest number is 20

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The city planner wants to put recycling bins at the circumcenter of the park. What are the coordinates of the recycling bins?.

Answers

The coordinates of the recycle bin will be = ( -1, 2.5 )

According to the information given in the question,

The coordinates of the vertices of the park are,

( 1, 1 ), ( 1, 4 ), and ( -3, 4 )

We have to find the coordinates of the recycle bin.

Let us consider the equation of the circle,

[tex]x^{2} +y^{2}+Dx + Ey+ F =0[/tex]

So putting the values of the coordinates into the equation,

First Equation,

[tex]1^{2}+1^{2} + D + E + F = 0[/tex]

Second Equation,

[tex]1^{2} +4^{2} +D + 4E + F=0[/tex]

Third Equation,

[tex](-3)^{2} + 4^{2} - 3D+4E+F=0[/tex]

Subtracting the first equation from the second,

[tex]1^{2} +4^{2} +D + 4E -E=0[/tex]

15 + 3E = 0

3E = -15

E = -5

Subtracting the third equation from the second,

1 + 16 - 9 - 16 + D + 3D = 0

4D = 8

D = 2

Putting the values of E and D in the first equation,

1 + 1 + D + E + F = 0

F = -2 - D - E

F = 1

So now the equation of the circle becomes,

[tex]x^{2} +y^{2}+2x - 5y+ 1 =0[/tex]

By expanding the above equation we can find the standard equation,

[tex]x+2x+1^{2} +y^{2} -5y+ 2.5^{2}- 1^{2} -2.5^{2} +1 =0[/tex]

[tex](x+1)^{2} + (y - 2.5)^{2} = 1^{2} + 2.5^{2} -1[/tex]

[tex](x+1)^{2} + (y - 2.5)^{2} = 2.5^{2}[/tex]

So the required circumcenter will be = ( -1, 2.5 )

Therefore, the coordinates of the recycle bin will be = ( -1, 2.5 )

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A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of the vertices of the park are (1, 1), (1,4), and (-3,4). The city planner wants to put recycling bins at the circumcenter of the park. What are the coordinates of the recycling bins?

please show your work

Answers

d) [tex]\frac{48y^{10} }{x^{9} }[/tex] is the answer to your question

Exponents:

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

For instance, the number 6 is multiplied by itself four times, yielding 6 6 6 6. You can write this as 64.In this case, the exponent is 4 and the base is 6. This can be understood as 4 increased to the power of 6.The symbol used for representing the exponent is ^. This symbol (^) is called a carrot. For example, 4 raised to 2 can be written as 4^2 or 42. Thus, 4^2 = 4 × 4 = 16Adding exponents while maintaining the same base is the rule for multiplying like bases.

exponents should be multiplied while bases are kept constant when bases are raised by a power of two or more.

Division Rule: When dividing like bases, maintain the base constant and deduct the exponent of the denominator from the exponent of the numerator.

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Johan buys a backpack for $41. He has to pay 8% sales tax. How much is the tax?
pls help asap tysm

Answers

Answer: The tax is $3.28.

Step-by-step explanation:

8% is equal to 0.08.

If you multiply 41 x 0.08 you get 3.28.

julian's transcript shows a grade point average of 3.00, with a standard deviation of 0.25. what fraction of his total credits were certain to have a grade point average between 2.00 and 4.0?

Answers

At least 75% of his total credits were certain to have a grade point average between 2.00 and 4.0.

By looking at the standard deviation of 0.25, we can calculate the range of the grade point averages which are within two standard deviations away from the mean. In this case, the mean is 3.00, so two standard deviations away would be 2.00 (3.00 - 0.25 x 2) and 4.00 (3.00 + 0.25 x 2). Since the grade point averages within this range are certain to have a grade point average between 2.00 and 4.0, at least 75% of the total credits are certain to have a grade point average between these two numbers.

Lower limit (2 standard deviations away from the mean):

3.00 - (0.25 x 2) = 2.00

Upper limit (2 standard deviations away from the mean):

3.00 + (0.25 x 2) = 4.00

Therefore, at least 75% of the total credits have a grade point average between 2.00 and 4.00.

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DISTANCE The graph represents the distance y in miles Roland is from home as a function of time x in hours. Which could very likely be true?

Answers

WHAT IS DISTANCE?

Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria

You need to write complete questions in order to get good and exact answers. Here you haven't provided any graph so I could help you giving you my own graph. The relationship between speed, time and distance is as follows:

Where:

[tex]d=v t[/tex]

[tex]Where :[/tex]

[tex]d: Distance[/tex]

[tex]v:speed[/tex]

[tex]t : time[/tex]

So [tex]v[/tex] represents slope of a line that passes through the origin. In this case:

d matches the y-axis

t matches the x-axis.

So:

[tex]y=m x \rightarrow d=v t[/tex]

[tex]Where:[/tex]

[tex]\begin{aligned}& y \rightarrow d \\& m v \rightarrow v\end{aligned}[/tex]

[tex]x \rightarrow t[/tex]

The graph below (Car A) comes from the following equation:

[tex]y=\frac{5}{3} x[/tex]

And the equation for car B is:

[tex]y=\frac{5}{6} x[/tex]

By comparing them, car A moves faster than car B because:

[tex]\frac{5}{3} > \frac{5}{6}[/tex]

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which graph represent 5x-2y=3

Answers

Answer:

The answer is below; I have put the equation and graphed it!

Step-by-step explanation:

Here is the graph for your answer

The size of the standard version is 2.8 megabytes (MB). The size of the high-quality version is 4.3 MB. Yesterday, the high-quality version was downloaded four times as often as the standard version. The total size downloaded for the two versions was 4600 MB. How many downloads of the standard version were there?

Answers

Answer:

The number of downloads of the standard version is 230.

Step-by-step explanation:

Let x be the number of downloads of the standard version.

The number of downloads of the high-quality version is 4x.

The total size downloaded for the standard version is 2.8x MB.

The total size downloaded for the high-quality version is 4.3(4x) = 17.2x MB.

The total size downloaded for both versions is 2.8x + 17.2x = 4600 MB.

Combining like terms, we have 20x = 4600 MB.

Dividing both sides by 20, we have x = 230 downloads of the standard version

the audit team is planning to examine a sample of control policies and procedures. assume that, based on the intended degree of reliance on internal control, the audit team wishes to control the risk of overreliance to 5%. in addition, based on prior engagements, the audit team anticipates an expected deviation rate of 2%. what would be the impact of reducing the tolerable rate of deviation from 7% to 5% on the sample size?

Answers

As per the impact of reducing the tolerable rate of deviation from 7% to 5% on the sample size is 93.

The term deviation is defined as a measure that is used to find the difference between the observed value and the expected value of a variable.

Here we have given that the audit team is planning to examine a sample of control policies and procedures. assume that, based on the intended degree of reliance on internal control, the audit team wishes to control the risk of overreliance to 5%.

And we need to find sample size.

While we looking into the given question, we know that the tolerable rate of deviation from 7% to 5% on the sample size.

Let us consider that 100 be the sample size, then the reduction in 7% to 5%, tell that there is an 2% decrement in the sample size.

Therefore, it can be calculated as,

=> 100 x 2/100

=> 2

Here we already know that the risk of overreliance to 5%.

Then the total value is

=> 5 + 2 = 7.

Then the sample size is

=> 100 - 7

=> 93.

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Graph the line whose equation is given in Point slope form. y+7=2(x-4)

Answers

Some of the coordinates on the graph are (0, -15), (1, -13), (2, -11).

The graph of the equation is given below.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates of the equation y + 7 = 2 (x - 4).

y + 7 = 2 (x - 4)

y = 2(x - 4) - 7

y = 2x - 8 - 7

y = 2x - 15

For x = 0,

y = - 15

(0, -15)

For x = 1,

y = 2 - 15 = -13

(1, -13)

For x = 2,

y = 4 - 15 = -11

(2, -11)

And so on...

Thus,

The graph of the equation is given below.

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Anyone Know f(-10)= 4.5,f(-2)=4.5??? Help ASAP mindfulness is responses being aware of how your own thoughts differ. being aware of how your own thoughts differ. having accurate self-knowledge. having accurate self-knowledge. increasing beneficial behaviors by reinforcing them. increasing beneficial behaviors by reinforcing them. being mentally aware and judging the value of your thoughts based on whether they are good or bad. can anyone register to be a donor, even though additional authorization may be neededbefore donation can actually occur if the person is a minor? why, in spite of the advantages of the north over the south, did the civil war in the united states last so long? For the circuit of Fig.30.17 in the textbook, let C = 12.0nF , L = 23.0mH , and R = 78.0? .Part ACalculate the oscillation frequency of the circuit once the capacitor has been charged and the switch has been connected to point aPart BHow long will it take for the amplitude of the oscillation to decay to 10.0% of its original value?Part CWhat value of R would result in a critically damped circuit? when a negotiator is inexperienced or feels intimidated by the other side, he/she/they tends to group of answer choices a. over-compromise b. under-compromisec. be quiet d. be forceful To better understand the term Federal system, break down the phrase. Federal refers to a central government. A system is a set of connected ideas or actions. What would it mean for a country to have a federal system? What did this mean for the United States? 1.Mateo brought in donuts for his class. Each box had 3 rows of donuts with 5donuts in each row. He bought 8 boxes. How many donuts did he buy? Many companies have entire departments that are devoted entirely to corporate social responsibility.TrueFalse a 10 kg mass is given an initial speed of 10 m/s up a 30o incline plane with coefficient of friction 0.50. calculate the maximum distance it moves up the incline plane. after teaching the caregiver of a client prescribed transdermal rivastigmine, the nurse determines that the teaching was successful when the caregiver makes which comment? the philippines government provides retirement benefits, unemployment benefits, maternity leave benefits, death and funeral benefits, and other benefits. these are examples of: Companies invest in expansion projects with the expectation of increasing the earnings of its business.Consider the case of Garida Co.:Garida Co. is considering an investment that will have the following sales, variable costs, and fixed operating costs:Year 1Year 2Year 3Year 4Unit sales3,5004,0004,2004,250Sales price$38.50$39.88$40.15$41.55Variable cost per unit$22.34$22.85$23.67$23.87Fixed operating costs$37,000$37,500$38,120$39,560This project will require an investment of $25,000 in new equipment. Under the new tax law, the equipment is eligible for 100% bonus deprecation at t = 0, so it will be fully depreciated at the time of purchase. The equipment will have no salvage value at the end of the projects four-year life. Garida pays a constant tax rate of 25%, and it has a weighted average cost of capital (WACC) of 11%. Determine what the projects net present value (NPV) would be under the new tax law.Determine what the projects net present value (NPV) would be under the new tax law.$47,736$54,896$38,189$57,283Now determine what the projects NPV would be when using straight-line depreciation $------------------------Using the------------- depreciation method will result in the highest NPV for the project.No other firm would take on this project if Garida turns it down. How much should Garida reduce the NPV of this project if it discovered that this project would reduce one of its divisions net after-tax cash flows by $300 for each year of the four-year project?$1,024$931$791$559Garida spent $2,750 on a marketing study to estimate the number of units that it can sell each year. What should Garida do to take this information into account?A) Increase the amount of the initial investment by $2,750.B) The company does not need to do anything with the cost of the marketing study because the marketing study is a sunk cost.C) Increase the NPV of the project $2,750. 1) Kathy is 12 years old and Ben is 16 years old. How many years ago was Ben three times as old as Kathy?2) Find z if 1 4/11 of z is 453) Emma is 10 years old. She asked her father how old he is and he said, "When you are my age, I will be 70." How old is Emma's father?4) Jame's dog Buddy is 2 years older than his cat Fluffy. Three years ago, Buddy was three times as old as Fluffy. How old are Buddy and Fluffy now?5) The sum of x and y age is 60. In six years, y will be eight times as old as x will be. How old is x? Which of the following is the best example of an economic approach to reduce overfishing for a fish species with a declining population?The federal government sets a catch limit (per person or per boat) for the species and imposes a tax on any extra fish that are caught. The M1 money supplya. is composed of assets that reflect the medium of exchange function of money.b. is larger than the M2 money supply.c. includes credit card balances since they are used to purchase things.d. is composed of only currency.a you are trying to determine the intrinsic value of firm a using the free cash flow method. the free cash flow of the company today is at $1000 and you Explain why is the Shanghai tower created with a twisted design. a 50 g ball of clay traveling at speed v0 hits and sticks to a 1.0 kg brick sitting at rest on a frictionless surface. if you want to make a personal website and do not have any coding skills, you should probably use .