a football is fired upward with an initial speed of 800 feet per second. It is given that h=-12t^2+360t (h is the height of the football at any given time).what will you set h equal to in the equation to to find how many seconds it takes the football to hit the ground?

Answers

Answer 1

Answer:

30 s

Step-by-step explanation:

When the ball hits the ground h=0. To find the time t when this happens we must solve the equation h=0.

●h= 0

● -12t^2+360t =0

● t(-12t +360) = 0

● t = 0 or -12t +360 =0

● t=0 or -12t = -360

● t=0 or 12t =360

● t=0 or t=360/12

● t=0 or t= 30

The equation has two solutions.

The ball was fired with an initial speed of 800 feet per second so it cannot hit the ground at t=0.

So the ball hits the ground after 30 s.


Related Questions

The time between failures for an electrical appliance is exponentially distributed with a mean of 25 months. What is the probability that the next failure will not occur before 30 months have elapsed

Answers

Answer:

The probability that the next failure will not occur before 30 months have elapsed is 0.0454

Step-by-step explanation:

Using Poisson distribution  where

t= number of units of time

x= number of occurrences in t units of time

λ= average number of occurrences per unit of time

P(x;λt) = e raise to power (-λt)  multiplied by λtˣ divided by x!

here λt = 25

x= 30

P(x= 30) = 25³⁰e⁻²⁵/ 30!

P (x= 30) = 8.67 E41 * 1.3887 E-11/30!    (where E= exponent)

P (x=30) = 1.204 E31/30!

Solving it with a statistical calculator would give

P (x=30) = 0.0454

The probability that the next failure will not occur before 30 months have elapsed is 0.0454

Solve and CHECK the following: 2(a−3)/3=4

Answers

Answer:

2(a - 3). = 4

_______

3

Cross multiply.

2(a- 3) = 12

2a - 6 = 12

2a = 12 + 6

2a = 18

a = 18 ÷ 2

a = 9

Answer:

a = 9

Step-by-step explanation:

Given

[tex]\frac{2(a-3)}{3}[/tex] = 4 ( multiply both sides by 3 to clear the fraction

2(a - 3) = 12 ( divide both sides by 2 )

a - 3 = 6 ( add 3 to both sides )

a = 9

As a check substitute a = 9 into the left side of the equation and if equal to the right side then it is the solution.

[tex]\frac{2(9-3)}{3}[/tex] = [tex]\frac{2(6)}{3}[/tex] = [tex]\frac{12}{3}[/tex] = 4 = right side

Thus solution is a = 9

Ami buys x apples and y bananas. The apples cost 15p each and the bananas cost 20p each. The total cost of Ami's apples and bananas is £1.80. a Write an equation for the total cost of Ami's apples and bananas.

Answers

Answer:

0.15x + 0.20y = 1.80

Step-by-step explanation:

Here, we are interested in writing an equation for the total cost of the apples and bananas

before we write , kindly understand that 100p = £1

So the cost of apple which is 15p will be 15/100 =£ 0.15

The cost of bananas which is 20p will be 20/100 = £0.2

Thus, the total cost of the apples bought will be number of apples bought * price of apple bought = 0.15 * x = £0.15x

The cost of bananas = number of bananas bought * price of bananas = 0.2 * y = £0.2y

So the total cost of the apples and bananas will be;

0.15x + 0.20y = 1.80

Which equation is perpendicular to y= 3/4x + 4 and passes through the point (0,2)

A. Y= 3/4x + 2

B. Y= -3/4x + 2

C. Y= -4/3x + 2

D. Y= 4/3x + 2

Answers

C, to find a perpendicular slope, you take the negative reciprocal and use that as your slope

Determine the parent function.

Answers

Answer:

y= [tex]\sqrt{x}[/tex]

Step-by-step explanation:

Can someone tell me the answer?

Answers

Answer:

the first one has one solution because eventually they will cross

what is the expression in radical form (2m^2n)^3/2

Answers

Answer:

sqrt[(2m^2n)^3]

Step-by-step explanation:

So let's break down the exponent.  The top number represents the number of times the term is repeated.  The bottom number represents the root to be taken of the final product.  With this in mind, let's rewrite this expression.

(2m^2n)^3/2

= [(2m^2n)^3]^1/2

Notice we have 3 of the (2m^2n) terms, but they are all under the 2nd root (aka a square root).

So now, we'll rewrite this into the radical form.

sqrt[(2m^2n)^3]

I hope this helps.

Cheers.

A large rectangle has side lengths of 8 meters and 6 meters. A smaller rectangle with side lengths of 4 meters and 2 meters is cut out of the large rectangle. What is the area of the remaining part of the large rectangle?

Answers

Answer: 16m²

Step-by-step explanation:

A large rectangle has side lengths of 8 meters and 6 meters. This means that the area of the large rectangle will be:

= 8m × 6m

= 48m²

A smaller rectangle with side lengths of 4 meters and 2 meters is cut out of the large rectangle. Then, the area of the smaller rectangle will be:

= 4m × 2m

= 8m²

Since the smaller rectangle with side lengths of 4 meters and 2 meters is cut out of the large rectangle whose length is 8, meters and 6 meters, the remaining part of the rectangle will have length of (8m - 4m) = 4m and (6m - 2m) = 4m.

Area of the remaining part of the large rectangle will be:

= 4m × 4m

= 16m²

What is 1/9 of 63% of 6000?

Answers

Answer:

420

Step-by-step explanation:

To find 63% of 6000, we can do 0.63 * 6000 = 3780 because 63% = 0.63.

1/9th of that is 1/9 * 3780 = 420.

Answer:

420

Step-by-step explanation:

Let's first start by finding 63% of 6000 so we can later find 1/9 of that number.

We can set up a percentage proportion.

[tex]\frac{x}{6000} = \frac{63}{100}[/tex]

[tex]6000\cdot63=378000\\378000\div100 = 3780[/tex]

Now to find 1/9 of 3780.

[tex]\frac{1}{9} \cdot \frac{3780}{1}\\\\\frac{3780}{9} = 420[/tex]

So, the answer is 420.

Hope this helped!

the shape of a piece is pallelogram whose adjacent side are 12m and 9 m and the corresponding diagonal is 15 .find the area of land​

Answers

Answer: The area of land =108 m²

Step-by-step explanation:

In the given piece of land is in the shape of a parallelogram.

Diagonals divide it into 2 equal parts.

So, area of parallelogram = 2 x (Area of triangle with sides 12m and 9 m and  15 m)

Heron's formula :

Area of triangle = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex], where [tex]s=\dfrac{a+b+c}{2}[/tex]

Let a= 12 , b= 9 and c = 15

[tex]s=\dfrac{12+9+15}{2}=18[/tex]

Area of triangle = [tex]\sqrt{18(18-12)(18-9)(18-15)}[/tex]

[tex]=\sqrt{18\times6\times9\times3}=\sqrt{2916}=54\ m^2[/tex]

Then, area of parallelogram= 2 x 54 = 108 m²

Hence, the area of land =108 m²

Consider this system of equations. Which equation represents the first equation written in slope-intercept form? 5 x minus 2 y = 10. Y = one-fourth x + 1.

Answers

Answer:

[tex]y = \frac{5x}{2} - 5[/tex]

Step-by-step explanation:

Given the equation 5x - 2y = 10, to write the equation in slope-intercept form, we need to write it in the standard format y = mx+c where m is the slope/gradient and c is the intercept.

From the equation given  5x - 2y = 10, we will make y the subject of the formula as shown;

[tex]5x - 2y = 10\\\\subtract \ 5x \ from \ both \ sides\\\\5x - 2y - 5x = 10 - 5x\\\\-2y = 10-5x\\\\Dividing \ both \ sides\ by \ -2;\\\\\frac{-2y}{-2} = \frac{10-5x}{-2}\\ \\[/tex]

[tex]y = \frac{10}{-2} - \frac{5x}{-2} \\\\y = -5 + \frac{5x}{2}\\\\y = \frac{5x}{2} - 5[/tex]

Hence the equation that represents the first equation written in slope-intercept form is [tex]y = \frac{5x}{2} - 5[/tex]

find the 10th term of the following sequences T(2)=20 and the term-to-term rule is subtract 6​

Answers

Answer is   -28

==================================================

Work Shown:

T(2) = 20 means the second term is 20

T(1) = 26 because we go backwards from what the rule says (subtract 6) to step back one term. Going forward, 26-6 = 20.

Since a = 26 is the first term and d = -6 is the common difference, the nth term is

T(n) = a + d*(n-1)

T(n) = 26 + (-6)(n-1)

T(n) = 26 - 6n + 6

T(n) = -6n + 32

Plugging n = 1 into the equation above leads to T(1) = 26. Using n = 2 leads to T(2) = 20.

Plug in n = 10 to find the tenth term

T(n) = -6n + 32

T(10) = -6(10) + 32

T(10) = -60+32

T(10) = -28

Answer:

-28.

Step-by-step explanation:

T(1) = 20 + 6 = 26.

This is an arithmetic series  with:

nth term T(n) =  26 - 6(n - 1).

So T(10) = 26 - 6(10-1)

= 26 -54

= -28.

30% of a number is 45 what is the number ?

Answers

Hey there! I'm happy to help!

When talking about percents, the word "is" usually means equals. Let's use this to solve an equation! We will call our number n. Note that 30% is equal to 0.3 in decimal form because 0.3 is 30% of one! :D

0.3n=45

To solve, we need to isolate the n. To do this, we divide both sides by 0.3 because this cancels out the 0.3 that is being multiplied by n and it shows us what n will then equal.

0.3n÷0.3=45÷0.3

n=150

Therefore, 30% of 150 is 45. Try multiplying 0.3 by 150 and you will get 45!

Have a wonderful day! :D

The first three steps in determining the solution set of the system of equations algebraically are shown.

y = x2 − x − 3
y = −3x + 5



What are the solutions of this system of equations?

(−2, −1) and (4, 17)
(−2, 11) and (4, −7)
(2, −1) and (−4, 17)
(2, 11) and (−4, −7)

Answers

Answer:

(2, −1) and (−4, 17)

Step-by-step explanation:

I used a graphing tool to graph the systems of equations. The parabola and line pass at points (2, -1) and (-4, 17).

Answer:(2, −1) and (−4, 17) Its C on Edge 2023

Step-by-step explanation: Its (C) after an extensive research

Myra took a picture of the sky one afternoon when two jet airplanes appeared to draw a pair of parallel lines with their vapor trails. The vapor trails from two other jets flying from another direction crossed over the parallel trails. She printed her picture and labeled the angles and lines.

Parallel lines c and d are cut by transversals a and b. All angles are described clockwise, from uppercase left. The intersection of lines c and b form angles: 2, 4, 3, 1. The intersection of lines d and b form angles: 6, 8, 7, 5. The intersection of lines c and a form angles: 10, 12, 11, 9. The intersection of lines a and d form angles: 14, 16, 15, 13.
Assume lines c and d are parallel and Angle2 measures 98°. Which statements are true? Select three options.

Answers

Answer:

a, c. d

Step-by-step explanation:

Answer:

a c d

Step-by-step explanation:

The diameter of a circle is 3.5 inches. What is the circumference of the circle?

Answers

Answer:

About 11 (10.9955742876...)

Step-by-step explanation:

Circumference=(pi) (diameter) or C=πd

Hope this helps!

The circumference of the circle is about 11 inches.

We are given that the diameter of a circle is 3.5 inches.

Noted that the circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.

Therefore circumference of the circle = 2πr

Circumference=(2πr)

The diameter or C = πd

diameter = 3.5 inches

Circumference=(3.5 x 3.14)

Circumference = (10.99) inches

Learn more about circumference here;

brainly.com/question/12512221

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This is Algebra 1 functions and I'm struggling with this one function-

-1•f(-9)+7•g(6)=_____

Answers

Answer:

38

Step-by-step explanation:

f(-9) is the value of f(x) when x = -9. Therefore, f(-9) = 4 from the graph. Doing the same with g(6), we can see that g(6) = 6. Our expression becomes:

-1 * 4 + 7 * 6

= -4 + 42

= 38

Please help me as fast as you can. thanks

Answers

Answer:

<DEF = 40<EBF = <EDF = 56<DCF = <DEF =40<CAB = 84

Step-by-step explanation:

In triangle DEF, we have:

Given:

<EDF=56

<EFD=84

So, <DEF =180 - 56 - 84 =40 (sum of triangle angles is 180)

____________

DE is a midsegment of triangle ACB

( since CD=DA(given)=>D is midpoint of [CD]

and BE = EA => E midpoint of [BA] )

According to midsegment Theorem,

(DE) // (CB) "//"means parallel

and DE = CB/2 = FB =CF

___________

DEBF is a parm /parallelogram.

Proof: (DE) // (FB) ( (DE) // (CB))

AND DE = FB

Then, <EBF = <EDF = 56

___________

DEFC is parm.

Proof: (DE) // (CF) ((DE) // (CB))

And DE = CF

Therefore, <DCF = <DEF =40

___________

In triangle ACB, we have:

<CAB =180 - <ACB - <ABC =180 - 40 - 56 =84(sum of triangle angles is 180)

[tex]HOPE \: THIS \: HELPS.. GOOD \: LUCK! [/tex]

Find the midline for f(x)=2cos(3x−5π6)−2

Answers

Answer:  y = -2

Step-by-step explanation:

f(x) = A cos (Bx - C) + D

                                  ↓

                                center line (aka midline)

f(x) = 2 cos (3x - 5π/6) - 2

                                      ↓

                                  midline = -2

The midline of the cos function f(x) = 2cos(3x − 5π/6) − 2 is y = -2 after comparing with standard cos function f(x) = Acos(Bx - C) + D

What is cos function?

It is defined as a function that is sin-cos wave in nature, and it has a domain of all real numbers and lies between the [a, a] where is the amplitude of the function.

It is given that the cos function is:

f(x) = 2cos(3x - 5π/6) - 2

As we know, the standard form of the cos function is:

f(x) = Acos(Bx - C) + D

Here, A is the amplitude

B is the period of the cos function

C is the phase shift of the cos function

D is the vertical shift of the cos function/midline

On comparing:

D = -2

The midline:

y = -2

Thus, the midline of the cos function f(x) = 2cos(3x − 5π/6) − 2 is y = -2 after comparing with standard cos function f(x) = Acos(Bx - C) + D

Learn more about the cos function here:

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the hypotnuse of a 45 -45 -90 triangle measures 22√2 units. what is the length of the leg of the triangle?

Answers

Answer:

22 units.

Step-by-step explanation:

In 45- 45- 90 triangles, there is a 1 to 1 to the square root of 2 formula. Each side length measures 1x, while the hypotenuse measures x times the square root of 2.

In this case, the hypotenuse measures 22 and the square root of 2 units. To find the value of x, simply divide that by the square root of 2 units, and you get x = 22 units. Multiply that by 1, and you get 22 units, which is the length of the leg of the triangle.

Hope this helps!

Plz help urgently i dont know how to do it

Answers

Answer:

11

Step-by-step explanation:

1650/15/10 = 11

So the polynomial 24r squared represents the surface are of a cube a : determine the polynomial that represents the area of one face of the cube b: use this answer to determine a polynomial that represents the length of an edge of the cube c: what is the length of an edge of the cube when r = 3 cm

Answers

Answer:

a. 4r² b. 2r c. 6 cm

Step-by-step explanation:

The surface area A of the cube is A = 24r². We know that the surface area, A of a cube also equals A = 6L² where L is the length of its side.

Now, equating both expressions, 6L² = 24r²

dividing both sides by 6, we have

6L²/6 = 24r²/6

L² = 4r². Since the area of one face is L², the polynomial that determines the area of one face is A' = 4r².

b.  Since L² = 4r² the rea of one face of the cube, taking square roots of both sides, we have

√L² = √4r²

L = 2r

So, the polynomial that represents the length of an edge of the cube is L = 2r

c. The length of an edge of the cube is L = 2r. When r = 3 cm.

L = 2r = 2 × 3 cm = 6 cm

So, the length of an edge of the cube is 6 cm.

¡Ayuda!


1. Método del Triángulo: Una embarcación navega a una distancia de 800 km hacia el Oeste y después avanza 1400 km a 135 °. ¿Cuál es la magnitud, dirección y sentido del desplazamiento resultante? R /. 2,080 km, 155 ° NO.

Answers

Answer:

La magnitud del desplazamiento resultante es 2045.463 kilómetros. La dirección absoluta del desplazamiento resultante es 151.055º, el cual corresponde al sentido noroeste.

Step-by-step explanation:

En primer lugar, se construye el triángulo. La figura resultante se encuentra incluida como archivo adjunto. La magnitud del desplazamiento resultante se determina mediante la Ley del Coseno:

[tex]r = \sqrt{(800\,km)^{2}+(1400\,km)^{2}-2\cdot (800\,km)\cdot (1400\,km)\cdot \cos 135^{\circ}}[/tex]

[tex]r \approx 2045.463\,km[/tex]

La magnitud del desplazamiento resultante es 2045.463 kilómetros.

La dirección del desplazamiento resultante es hallada por medio de la Ley del Seno, sabiendo que el ángulo del desplazamiento resultante a la recta de 1400 kilómetros:

[tex]\frac{1400\,km}{\sin \alpha} = \frac{2045.463\,km}{\sin 135^{\circ}}[/tex]

Se despeja el ángulo correspondiente:

[tex]\alpha = \sin^{-1}\left(\frac{1400\,km}{2045.463\,km}\times \sin 135^{\circ} \right)[/tex]

[tex]\alpha \approx 28.945^{\circ}[/tex]

La dirección absoluta del desplazamiento resultante es:

[tex]\alpha' = 180^{\circ}-\alpha[/tex]

[tex]\alpha' = 180^{\circ}-28.945^{\circ}[/tex]

[tex]\alpha' = 151.055^{\circ}[/tex]

La dirección absoluta del desplazamiento resultante es 151.055º, el cual corresponde al sentido noroeste.

Given the coordinate points of the preimage, use the transformation given to provide the points of the image. E(−5,−1) D(−5,1) C(−1,0) B(−2,−3) Rotation: 180∘ about the origin

Answers

Answer:

The points of the image are;

E'(5, 1), D'(5, -1), C'(1, 0), E'(-2, -3)

Step-by-step explanation:

The coordinates of the preimage are E(-5, -1) D(-5, 1) C(-1, 0) B(-2, -3)

Rotation of a point 180° about the origin gives;

Coordinates of the point of the preimage before rotation = (x, y)

The coordinates of the image after rotation = (-x, -y)

Therefore, the coordinates of the points EDCB after 180° rotation about the origin are;

E(-5, -1) rotated 180° becomes E'(5, 1)

D(-5, 1) rotated 180° becomes D'(5, -1)

C(-1, 0) rotated 180° becomes C'(1, 0)

B(-2, -3) rotated 180° becomes E'(-2, -3).

In the article, Attitudes About Marijuana and Political Views (Psychological Reports, 1973), researchers reported on the use of cannabis by liberals and conservatives during the 1970's. To test the claim (at 1% significance) that the proportion of voters who smoked cannabis frequently was lower among conservatives, the hypotheses were

Answers

Answer:

Option B.

Step-by-step explanation:

According to the question, the data provided is as follows

[tex]H_o : p_1 - p_2 = 0\ (p_1 = p_2)\\\\ H_\alpha : p_1 - p_2 < 0\ (p_1 < p_2)[/tex]

Based on the above information,

The type ii error is the error in which there is an acceptance of a non rejection with respect to the wrong null hypothesis. The type I error refers to the error in which there is a rejection of a correct null hypothesis and the type II refers that error in which it explains the failure of rejection with respect to null hypothesis that in real also it is wrong  

So , the type II error is option B as we dont create any difference also the proportion is very less

Factor x2 - 2x + 3
I have no idea and no one else has done it

Answers

Answer:

prime

Step-by-step explanation:

x^2 - 2x + 3

What two numbers multiply to 3 and add to -2

There are none so this cannot be factored in the real numbers

Which equation is represented by the intersection of the graphs below? a. cosx=-1 b.secx=-1 c. cscx=-1 d.tanx=-1

Answers

Answer:

Option D.

Step-by-step explanation:

From the given it is clear that the horizontal line intersect the y-axis at -1. So, the equation of horizontal line is y=-1.

The curves represent the graph of [tex]y=\tan x[/tex].

We need to find the equation which is represented by the intersection of the graphs.

We have two equations one is for curve and another for horizontal line.

[tex]y=\tan x[/tex]

[tex]y=-1[/tex]

Equate both equations to get the equation which is represented by the intersection of the graphs.

[tex]\tan x =-1[/tex]

Therefore, the correct option is D.

It is 64º F at the 5000-foot level of a mountain, and 48º F at the 10,000-foot level of the mountain. Write a linear equation, in slope-intercept form, to find the temperature T at an elevation e on the mountain, where e is in thousands of feet.

Answers

Answer:

T = - 3.2e + 80

Step-by-step explanation:

Given the following :

e = elevation in thousands of feets

T = temperature (°F)

e1 = 5 ; e2 = 10 (in thousands of feet)

T1 = 64° ; T2 = 48°

y = mx + c ; T = me + c

y = ; m = slope, c = intercept

64 = m5 + c - - - - (1)

48 = m10 + c - - - - (2)

From (1)

c = 64 - m5

Substitute c = 64 - m5 into (2)

48 = m10 + c - - - - (2)

48 = m10 + 64 - m5

48 - 64 = 10m - 5m

-16 = 5m

m = - 16 / 5

m = - 3.2

Substitute the value of m into c = 64 - m5

c = 64 - 5(-3.2)

c = 64 - (-16)

c = 64 + 16

c = 80

Inserting our c and m values into T = me + c

T = - 3.2e + 80

Where e is in thousands of feet

T is in °F

Complete the solution of the equation. Find the
value of y when x equals 13.
-3x – 2y = -25
Enter the correct answer.​

Answers

Answer:

y = -7

Step-by-step explanation:

-3x – 2y = -25

Let x = 13

-3 * 13 -2y = -25

-39 -2y = -25

Add 39 to each side

-39+39 -2y = -25+39

-2y =14

Divide by -2

-2y/-2 = 14/-2

y = -7

Answer:

y = -7

Step-by-step explanation:

-3x - 2y = -25

Plug x as 13.

-3(13) - 2y = -25

-39 - 2y = -25

Add 39 on both sides,

- 2y = 14

Divide both sides by -2.

y = -7

Show that (a - b)+(b-c)+(c -a)3 = 3 (a - b) (b -c) (c-a)​

Answers

Answer:

I think that it should be

[tex] {(a - b)}^{3} + {(b - c)}^{3} + {(c - a)}^{3} = 3(a - b)(b - c)(c - a)[/tex]

Step-by-step explanation:

Here,

we take , a - b = A,b-c = B , c - a= C

A+B+C = 0

we know that,

[tex] {a}^{3} + {b}^{3} + {c}^{3} - 3abc = (a + b + c)( {a}^{2} + {b}^{2} + {c}^{2} - ab - bc - ca)[/tex]

Here , A+B+C = 0

so,

A^3 +B^3 + C^3 = 3 ABC

now we put the values

[tex]{(a - b)}^{3} + {(b - c)}^{3} + {(c - a)}^{3} = 3(a - b)(b - c)(c - a)[/tex]

I am done .

I think that it should be

{(a - b)}^{3}  +  {(b - c)}^{3}  +  {(c - a)}^{3}  = 3(a - b)(b - c)(c - a)

Step-by-step explanation:

Here,

we take , a - b = A,b-c = B , c - a= C

A+B+C = 0

we know that,

{a}^{3}  +  {b}^{3}  +  {c}^{3}   - 3abc = (a + b + c)(  {a}^{2}  +  {b}^{2}  +  {c}^{2}  - ab - bc - ca)

Here , A+B+C = 0

so,

A^3 +B^3 + C^3 = 3 ABC

now we put the values

{(a - b)}^{3}  +  {(b - c)}^{3}  +  {(c - a)}^{3}  = 3(a - b)(b - c)(c - a)

I am done .

Other Questions
Let's practise.Compare and contrast between a lion and a cow using the doublbubble map On January 1, 20X7, Pisa Company acquired 80 percent of Siena Company by purchasing 40,000 shares of Siena's common stock. There was no differential related to this transaction. The noncontrolling interest had a fair value equal to 20 percent of book value. The book value of Siena on December 31, 20X7 was as follows:On January 1, 20X8, Pisa purchased an additional 12,500 shares directly from Siena for $25 per share. The elimination entry to prepare the consolidated financial statements on December 31, 20X7 would include one of the following answers: a. credit to common stock for $625,000 b. debit to retained earnings for $37,500 c. credit to Investment in Siena Co. for $976,500 d. credit to NCI in the net assets of Siena Co. for $232,500 Why can the use of fertilizers, pesticides, and industrial chemicals unintentionallyharm a community's water supply? A pension plan that promises employees a fixed annual pension benefit, based on years of service and compensation, is called a(n)The journal entry a company uses to record accrued vacation privileges for its employees at the end of the year is A machine can be purchased for $140,000 and used for five years, yielding the following net incomes. In projecting net incomes, straight-line depreciation is applied, using a five-year life and a zero salvage value.Year 1 Year 2 Year 3 Year 4 Year 5Net income $ 9,500 $ 23,500 $ 64,000 $ 35,500 $ 94,000 Compute the machines payback period (ignore taxes). (Round your intermediate calculations to 3 decimal places and round payback period answer to 3 decimal places.)Year Net Income Depreciation Net Cash Flow Cumulative Cash Flow0 $ (140,000) $ (140,000) 1 $ 9,500 2 23,500 3 64,000 4 35,500 05 94,000 0Payback period = On June 10, 20X8, Playoff Corporation acquired 100 percent of Series Company's common stock. Summarized balance sheet data for the two companies immediately after the stock acquisition are as follows:Playoff Corp. Series CompanyItem Book Value Fair ValueCash $ 15,000 $ 5,000 $ 5,000 Accounts Receivable 30,000 10,000 10,000 Inventory 80,000 20,000 25,000 Buildings & Equipment (net) 120,000 50,000 70,000 Investment in Series Stock 100,000 Total $ 345,000 $ 85,000 $ 110,000 Accounts Payable $ 25,000 $ 3,000 $ 3,000 Bonds Payable 150,000 25,000 25,000 Common Stock 55,000 20,000 Retained Earnings 115,000 37,000 Total $ 345,000 $ 85,000 $ 28,000 Required:a. Prepare the consolidating entries required to prepare a consolidated balance sheet immediately after the acquisition of Series Company shares. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field.)b. Record the excess value (differential) reclassification entry. A rectangle has a height of 2 and a width of 5x^2-2x+3x Express the area of the entire rectangle.Expression should be expanded.how would I do this?^^ if you can break down the steps for me that'd be amazing! Which statement describes one feature of a closed circuit? Charges do not flow. Bulbs will not shine. The circuit is broken. The circuit is complete. Hillside issues $2,000,000 of 6%, 15-year bonds dated January 1, 2017, that pay interest semiannually on June 30 and December 31. The bonds are issued at a price of $2,447,990.Required:a. Prepare the January 1, 2013, journal entry to record the bonds issuance.b. Prepare the first two years of an amortization table using the straight-line method.c. Prepare the journal entries to record the first two interest payments. Safegate Foods, Inc., is redesigning the checkout lanes in its supermarkets throughout the country and is considering two designs. Tests on customer checkout times conducted at two stores where the two new systems have been installed result in the following summary of the data.System System Bn1=120 n2=100x1=4.1 minutes x2=3.4 minutes1=2.2minutes 2= 1.5 minutesTest at the 0.05 level of significance to determinewhether the population mean checkout times of the two newsystems differ. Which system is preferred? Whats the best way to deal with failure? Which kind of question would a civil trial most likely try to answer?A. Is the defendant accountable for the mess her dog made inside alocal business?B. Is the sentence fair, given the convicted person's spotless recordand obvious remorse?c. Did the lower court prejudice the jury by presenting evidence in animproper way?D. Did the defendant run the stoplight in his late-model sports car onFriday afternoon? The cart now moves toward the right with an acceleration toward the right of 2.50 m/s2. What does spring scale Fz read? Show your calculations, and explain. Is water biodegradable or non - biodegradable? Change the sentence below to indirect speech. He asked me to come. What does this image represent?2102Select one:a. Dot Matrix PrinterO b. Snapshot Printerc. Inkjet Printerd. None of the above What are some of the possible consequences of financial distress? I) Bondholders, who face the prospect of getting only part of their money back, will likely want the company to take additional risks. II) Equity investors would like the company to cut its dividend payments to conserve cash. III) Equity investors would like the firm to shift toward riskier lines of business. A subsidy will increase consumer and producer surplus in a market and will increase the quantity of trades. A subsidy (such as a subsidy for producing corn in the United States) can be considered inefficient because a subsidy results in a quantity: A dentist using a dental drill brings it from rest to maximum operating speed of 391,000 rpm in 2.8 s. Assume that the drill accelerates at a constant rate during this time.(a) What is the angular acceleration of the drill in rev/s2? rev/s2 (b) Find the number of revolutions the drill bit makes during the 2.8 s time interval. rev Panner, Inc., owns 30 percent of Watkins and applies the equity method. During the current year, Panner buys inventory costing $126,000 and then sells it to Watkins for $180,000. At the end of the year, Watkins still holds only $26,400 of merchandise. What amount of gross profit must Panner defer in reporting this investment using the equity method