A solid lies between planes perpendicular to the​ y-axis at [tex]y=0[/tex] and [tex]y=4[/tex]. The​ cross-sections perpendicular to the​ y-axis are circular disks with diameters running from the​ y-axis to the parabola [tex]x=\sqrt{10} y^2[/tex]. Find the volume of the solid.

Answers

Answer 1

For any given [tex]0\le y\le4[/tex], a cross section in that plane is a circle whose diameter is [tex]x=\sqrt{10}\,y^2[/tex] with thickness [tex]\Delta y[/tex]. Such a cross section contributes a volume of [tex]\pi \left(\frac x2\right)^2 \, \Delta y = \frac{5\pi}2 y^4 \, \Delta y[/tex].

As [tex]\Delta y\to0[/tex] and the number of cross sectional cylindrical disks increases without bound, the infinite sum of their volumes converge to the volume of the solid, given by the definite integral

[tex]\displaystyle \frac{5\pi}2 \int_0^4 y^4 \, dy = \frac{5\pi}2 \cdot \frac{4^5}5 = \boxed{512\pi}[/tex]


Related Questions

Find X and Y with these angles. Thank you

Answers

X = 5
Y =5

180 = 155 + 5y
25 = 5y
5=y

360 = 25 + 25+ 155 + 90 + 13x
65 = 13x
5= x

one seventh times the absolute value of the quantity x minus 3 end quantity minus 2 equals 9

the sum of an arithmetic series is given be Sn= 6n-3n2. find the common difference and the first 4 terms of the sequence

Answers

The common difference and the first four terms are - 12 and 3, -9, -21 , -33 respectively

How to determine the value

Given that the sum of an arithmetic sequence is  6n-3n²

Let the first term of the sequence be a1The second term of the sequence be a2The third term of the sequence be a3The fourth term be a4d denotes common difference of the sequence

S1  = a1 = 6(1) - 3(1)² = 6 - 3 = 3

S4 = a1 + a2 + a3 + a4 = 6(4) - 3(4)² = -24

a1 + a2+ a3 + a4 + d = -24

4(a1) + d = -24

4(3) + d = -24

12 + d = -24

d = -24 + 12

d = -12

The first four terms are;

T2 = 3 + (2-1) -12

T2 = 3 -12

T2 = -9

T3 = 3 + 2(-12)

T3 = 3 - 24

T3 = -21

T4 = 3 + 3(-12)

T4 = 3 - 36

T4 = -33

Thus, the common difference and the first four terms are - 12 and 3, -9, -21 , -33 respectively

Learn more about arithmetic sequence here:

https://brainly.com/question/6561461

#SPJ1

The coordinates of point T are (0,5). The midpoint of ST is (6,-2) find the coordinates of point S

Answers

The coordinates of point S are (12,₋9)

Given, coordinates of T are (0,5)

midpoint of ST is (6,₋2)

When it is necessary to determine the precise center point between two specified points, the midpoint formula is used. So you may use this method to determine the point that divides a line segment specified by two points in half.

coordinates of S are = ?

we know the midpoint formula is (x₊x₁)/2 , (y₊y₁)/2

The midpoint calculation is the same as averaging two numbers. As a result, by adding any two integers together and dividing by two, you may find the midpoint between them.

substitute the given values in the formula.

(6,₋2) =  (x₊0)/2 , (y₊5)/2

for the x value of S:

x/2 = 6

x = 12

for the y value of S:

y₊5/2 = ₋2

y ₊ 5 = ₋4

y = ₋4 ₋ 5

y = ₋9

Therefore the coordinates of S are (12,₋9)

Learn more about coordinate geometry here:

https://brainly.com/question/7243416

#SPJ9

What polynomial must be added to -3c^{2} +3 -6c in order to get a sum of 2c^{2} -c+5

Answers

The polynomial that added to [tex]-3c^{2}+3-6c[/tex] in order to get a sum of [tex]2c^{2}-c+5[/tex] is [tex]5c^{2}+5c+2[/tex]

Given,

The first polynomial =  [tex]-3c^{2}+3-6c[/tex]

The result =  [tex]2c^{2}-c+5[/tex]

Then,

[tex]-3c^{2}+3-6c[/tex] + second polynomial =  [tex]2c^{2}-c+5[/tex]

The second polynomial =   [tex]2c^{2}-c+5[/tex] -( [tex]-3c^{2}+3-6c[/tex] )

[tex]=2c^{2}-c+5+3c^{2}+6c-3\\ =(2+3)c^{2}+(-1+6)c+(5-3)\\ =5c^{2}+5c+2[/tex]

Hence, the polynomial that added to [tex]-3c^{2}+3-6c[/tex] in order to get a sum of [tex]2c^{2}-c+5[/tex] is [tex]5c^{2}+5c+2[/tex]

Learn more about polynomial here

brainly.com/question/11536910

#SPJ1

Which of the following values are solutions to the given
equation?
|x-5|=9
Be sure to select ALL numbers which are solutions.
(Select all that apply.)
x=3
x = 14
x = -2
x = 9
x= -14
x=-4

Answers

Step-by-step explanation:

x= 14 and x = -4 these are the answers

8,702 mL = ______________ L

Answers

Answer:I think it's 8.702 L

Step-by-step explanation:

Every pay period, Tamara pays 11% of her gross pay in taxes and an additional $200 in voluntary retirement deductions.
Write an equation that represents Tamara's net pay, where x represents her gross pay per pay period.
Of(x) = 0.89x - 200
Of(x) = 0.89x+ 200
Of(x) = 0.11x + 200
Of(x) = 0.11x-200

Answers

An equation that represents Tamara's net pay, where x represents her gross pay per pay period is: D. f(x) = 0.11x - 200

What is an equation?

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

Mathematically, net pay can be calculated by using this formula:

Net pay = Gross pay - Deductions.

In order to solve this word problem, we would assign variables to the gross pay and then translate the word problem into algebraic equation as follows:

Let x represent the gross pay.

Translating the word problem into an equation, we have;

f(x) = 0.11x - 200

Read more on equations here: https://brainly.com/question/18135451

#SPJ1

Order the square root of 97 to the third power, 78/9, and the square root of 45 from greatest to least.

Answers

Answer:The answer would be the second

Step-by-step explanation:The square root of 97 to the third power is 955.3. 78/9 is 8.6 and the square root of 45 is 6.7.

Can someone solve this equation please ? 3/4x + 7 = -8

Answers

Answer:

x = -20

Step-by-step explanation:

Solve for x:

(3 x)/4 + 7 = -8

Put each term in (3 x)/4 + 7 over the common denominator 4: (3 x)/4 + 7 = (3 x)/4 + 28/4:

((3 x)/4 + 28/4) = -8

(3 x)/4 + 28/4 = (3 x + 28)/4:

(1/4 (3 x + 28)) = -8

Multiply both sides of (3 x + 28)/4 = -8 by 4:

(4 (3 x + 28))/4 = -8×4

(4 (3 x + 28))/4 = 4/4×(3 x + 28) = 3 x + 28:

(3 x + 28) = -8×4

4 (-8) = -32:

3 x + 28 = -32

Subtract 28 from both sides:

3 x + (28 - 28) = -28 - 32

28 - 28 = 0:

3 x = -28 - 32

-28 - 32 = -60:

3 x = -60

Divide both sides of 3 x = -60 by 3:

(3 x)/3 = (-60)/3

3/3 = 1:

x = (-60)/3

The gcd of -60 and 3 is 3, so (-60)/3 = (3 (-20))/(3×1) = 3/3×-20 = -20:

Answer: x = -20

L = {0,20,40,80,100}
M = {5,10,15,20,25}
N = {10,20,30,40,50}

Sets L, M, and N are shown above. Which of the following sets represents LU (MnN) (the union of L with the interesection of sets M and N)?

Answers

The sets represents L ∪ (M ∩ N) is {0 , 10 , 20 , 40 , 80 , 100}.

What is domain and range ?

The bis the set of possible input values, and the range is the set of all possible output values of the graph.

In the sets:

Union (∪) of two sets means all the elements in the two sets without repeating the same elements

Intersection (∩) of two sets means the common elements in the two sets

∵ Set L = {0 , 20 , 40 , 80 , 100}

∵ Set M = {5 , 10 , 15 , 20 , 25}

∵ Set N = {10 , 20 , 30 , 40 , 50}

We need to find L ∪ (M ∩ N)

At first find (M ∩ N)

M ∩ N means find the common elements of M and N

10 and 20 are common elements in M and N

M ∩ N = {10 , 20}

Now find the union of L and {10 , 20}

L ∪ {10 , 20} means all elements in L and {10 , 20} without repeating the same elements

L ∪ {10 , 20} = {0 , 10 , 20 , 40 , 80 , 100}

L ∪ (M ∩ N) = {0 , 10 , 20 , 40 , 80 , 100}

The sets represents L ∪ (M ∩ N) is {0 , 10 , 20 , 40 , 80 , 100}

You can learn more about the set in :

brainly.com/question/10710410

#SPJ1

Lesson 3.1 worksheet please help thank you!

Answers

1. x = 2.5y
2. x = 7y
3. x = 3y
4. 4x = y
5. x = 8y
6. 2.25x = y
7. x = 4y
8.
9. 1.25x = y
10. 2x = y
11.

Here’s some sorry couldn’t do them all

A 6-inch candle burns down in 6 hours. At what rate does the candle burn, in inches per hour??

Answers

Answer:

1 inch per hour.

Step-by-step explanation:

If a candle burns 6 inches in 6 hours, this means 1 inch of the candle melted every hour. Therefore, the candle burned/melted at a rate of 1 inch per hour.

Hope this helps!

Answer: the candle burns down at about 1 inch per hour

Step-by-step explanation: since if it is burning the whole time the equation you can do is 6 hours divided by 6 inches which is 1 hour by 1 inch

The scatter plot shows the rental price versus area (in square feet) for 20
apartments that recently rented in an apartment complex.

The equation of the least squares regression line is given as:

Predicted Rental Price = 391+0.98· Area

Use the drop-down menus to complete the statements below about what this linear model tells you about the rental cost of apartments in the complex.

Answers

The linear model tells you about the rental cost of apartments in the complex that is $410.6

What is a linear equation?

A linear equation is an equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = MX + c. Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.

A linear equation is given as y = MX + b

where m is the rate of change, b is the initial value of y, and, x are variables.

Assume that y represents the monthly rental price and x represents the square footage.

Given the equation:

Predicted Rental Price = 391+0.98· Area

For the rental price versus area (in square feet) for 20 apartments.

Predicted Rental Price = 391+0.98· Area

Predicted Rental Price = 391 +0.98· (20)

= 410.6

The  linear model tells you about the rental cost of apartments in the complex that is $410.6

Learn more about linear equations here:

https://brainly.com/question/27465710

#SPJ1

I need the quotient of this expression

Answers

The quotient of the expression [tex]\frac{x^{4}-3x^{3}+2x^{2}-5x+1}{x^{2}-5}[/tex] is [tex]x^{2} - 3x + 7 + \frac{-20x+36}{x^{2}-5}[/tex].

In mathematics, the outcome of dividing a number by any divisor is known as the quotient. It refers to how many times the dividend contains the divisor.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Constant: An absolute numerical number is referred to as a constant.

Variable: A symbol without a set value is referred to as a variable.

Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.

Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Consider the expression,

[tex]\frac{x^{4}-3x^{3}+2x^{2}-5x+1}{x^{2}-5}[/tex]

Now,

[tex]\frac{x^{4}-3x^{3}+2x^{2}-5x+1}{x^{2}-5} = x^{2}+\frac{-3x^{3}+7x^{2}-5x+1}{x^{2}-5}[/tex]

[tex]\frac{x^{4}-3x^{3}+2x^{2}-5x+1}{x^{2}-5} = x^{2} - 3x + \frac{7x^{2}-20x+1}{x^{2}-5}[/tex]

[tex]\frac{x^{4}-3x^{3}+2x^{2}-5x+1}{x^{2}-5} = x^{2} - 3x + 7 + \frac{-20x+36}{x^{2}-5}[/tex]

Learn more about quotient here:

https://brainly.com/question/12558750

#SPJ9

Is 3 irrational number integer real number whole number natural number irrational number

Answers

3 is a whole number, as it is a regular number, on the other hand decimals and negatives are a diffrent story! Have fun on Brainly!

how many proper subsets are there of the set {O,P,Q,R,S,T,U,V,W}

Answers

Answer:

37 subsets

Step-by-step explanation:

yeah just copy that and that's all

Which equation has the solution x = 5?
A. 3x + 1 = 9
B. 18 - 2x = 9
C. 32 - 4x = 12
D. 25/x + 4 = 9
E. x/5 + 5 = 6
F. 11 + 6x = 22

Answers

Answer:

C. 32 - 4x = 12

Step-by-step explanation:

A pump can dispose of sludge at the rate of 6,000 lb/h. How many pounds can be disposed of per minute?

Answers

Amount of sludge dispose per minutes is 100 lb.

What is Rate of change?

A rate is anything that can be measured over time. Common rates include velocity (which is the rate of distance traveled), power (rate of work being done), etc. All these have one thing in common which is that they are all divided by the amount of time it took to obtain a certain measurement.

Here it is given that :

A pump can dispose of sludge at the rate of 6,000 lb/h, that is in one hour pump dispose 6000 lb of sludge.

it is known that 1 hour = 60 minutes

Therefore, to find the amount of sludge dispose by pump in ome minute we divide 6000 with 60 :

amount of sludge dispose in one hour = 6000 lb

amount of sludge dispose in 60 minutes = 6000 lb

amount of sludge dispose in 1 minutes = 6000 lb/60 = 100 lb

Therefore, amount of sludge dispose per minutes is 100 lb

Read more about unit rates at:

brainly.com/question/19493296

#SPJ1

Please help meeeeeeee

Answers

Answer: 19

Step-by-step explanation: 13+6=19

please refer to the picture!!

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

According to given information,

g(x) = 4

when, x is not equal to -2, that means g(x) = 4 for all values of x except " - 2 "

Therefore,

[tex]\qquad \sf  \dashrightarrow \: g( - 5) = 4[/tex]

and

[tex]\qquad \sf  \dashrightarrow \: g(3) = 4[/tex]

And, when x = -2, it's value is 2, hence :

[tex]\qquad \sf  \dashrightarrow \: g( - 2) = 2[/tex]

Fifth grade
Rasheeds body mass was 120kg.He went on a diet and lost 1/6 of his body mass during the first month and 1/10 of his remaining mass during the second month.

What fraction of his original mass did Rasheed lose during the second

Answers

The fraction of the original mass that was lost in the second month is 1/12.

What is the fraction?

A fraction is a non-integer that is made up of numerators and denominators. An example of a fraction is 1/6.

Weight lost in the first month = 1/6 x 120 = 20kg

Weight lost in the second month = 1/10 x (120 - 20)

=  1/10 x 100 = 10kg

Fraction of the original mass that was lost in the second month : weight lost in the second month / total mass

10 kg / 120 = 1/12

To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

#SPJ1

select ALL expressions equal to -10(4x - 5).

A. 4x - 50

B. -40x -50

C. -40x + 50

D. -50 -40x

E. 50 - 4x

F. 50 - 40x

Answers

Answer: C, F

Step-by-step explanation: this is a form of distribution meaning you have to distribute -10 to the numbers inside the parenthesis. -10x4= -40x and -10 x -5= 50 therefor it is -40x+50. This answer can work as commutative meaning -40x+50 can also be written as 50-40x

Solve the equation below for p:

9p-12=-3p+24

Answers

Answer:

p= 3

Step-by-step explanation:

Answer:

p = 3

Step-by-step explanation:

Solving for the value of p,

→ 9p - 12 = -3p + 24

→ 9p + 3p = 24 + 12

→ 12p = 36

→ p = 36/12

→ [ p = 3 ]

Thus, the value of p is 3.

List the intercepts of the graph.Tell whether the graph is symmetric with respect to the x-axis, y-axis, origin, or none of these.

Answers

The intercepts of the graph (0, 6) (0, -6) is symmetry on x-axis, y-axis and it is graphically shown.

What is a symmetry of a function?

A symmetry of a function is a transformation that leaves the graph unchanged. Symmetric function is a function having several variables which remain unchanged for any type of permutation of the variable.

For the given situation, Symmetry with respect to x-axis

The point becomes (x, -y) as the point flips by itself up or down which changes its y coordinate to negative of whatever it was. And there is no motion is done horizontally so no change in x coordinate.

The interecpets are; (0, 6) (0, -6)

Thus this intercepts is symmetric to y-axis. this intercepts is not symmetric about origin.

Hence we can conclude that the intercepts is symmetric about x - axis.

Therefore, The intercepts of the graph (0, 6) (0, -6) is symmetry on x-axis and it is graphically shown.

Learn more about symmetry of a function here;

https://brainly.com/question/5218383

#SPJ1

If you buy 100 shares of a stock that cost $30 per share and the value of the stock increase 10% each year for 3 years, what is the value of your stock after 3 years

Answers

Answer:

$3900

Step-by-step explanation:

100*30=$3000

10%=0.1 ---> 3*0.1=0.3

3000*1.3=$3900

PLEASE HELP Four different linear functions are represented below. Answer the following questions.

Answers

The closest y-intercept is in function 1 so in option (A), the Greatest y-intercept is +4 in function 3 so in option (C), Functions 1 and 2 will have a slope less than 3 option (A) and (B).

What is a graph?

The graph is a geometrical representation of a function and can be plotted by taking x's and y's corresponding values within the interval.

For example plot of y = x³ ,y = sinx.

Given four functions,

The y-intercept is a point on the y-axis where the graph intersects therefore coordinate of x will be 0.

In function 1 ⇒ y-intercept = -1 in rest, all it is far from 1 therefore it is close to 0.

The y-intercept of function 3 is →

y = x + 4 ⇒ y = 0 + 4 = 4 which is greatest positive value among all.

The slope of any function associated with two points (x₁, y₁) and (x₂, y₂) is given by

Slope = (y₂ - y₁)/(x₂ - x₁)

The slope of function 1 has points (0,-1) and (1,-5)

(-5 + 1)/(1 - 0) = -4 < 3

The slope of function 2 →

(5 - 8)/(-1 + 2) = -3 < 3 rest all function have slope as > 3.

Hence "The closest y-intercept is in function 1, the Greatest y-intercept is +4 in function 3 , Functions 1 and 2 will have a slope less than 3".

To learn more about graphs,

https://brainly.com/question/24861666

#SPJ1

Rita bought 1/4 pound hamburger patties
for her family reunion picnic. She
bought 50 patties. How many pounds of
hamburgers did she buy?

Answers

Answer:

  12 1/2 pounds

Step-by-step explanation:

You want to know the total weight of 50 hamburger patties that weigh 1/4 pound each.

Total weight

The weight of 50 patties will be the sum of their weights. That sum is most easily figured using multiplication.

  (1/4 lb) +(1/4 lb) +(1/4 lb) +... +(1/4 lb) . . . . 50 repetitions

  = 50 × (1/4 lb)

  = (50/4) lb = 12.5 lb

Rita bought 12 1/2 pounds of hamburgers.

Samra's guardians invested money for her into a 529 College Savings Plan, which compounds annually. The growth of the savings plan per year, x, can be represented by the exponential function f(x)=
400(1.02. What is the meaning of the y-intercept in the context of the problem?
The initial value of the investment is $400.
The principal amount put into the savings plan is $1.02.
The percent rate of change is 400%.
The average rate of change that is occurring is 1.02.

Answers

In the context of the issue, the letter D represents the meaning of the y-intercept.

The value of the investment at the outset is determined to be $600.

How can we make sense of this information?

Based on the data, the growth of the savings plan over the course of one year, denoted by the variable x, may be modeled using the exponential function f(x) = 600 * (1.04)x.

In this instance, the significance of the y-intercept in relation to the situation at hand is that the beginning value of the investment is equal to $600.

In conclusion, the choice D is the one that should be made.

Discover more about the y-intercept by looking at:

brainly.com/question/25722412

#SPJ1

Answer:

(A)  The initial value of the investment is $400.

Step-by-step explanation:

Got it right on my quiz.

If f(x) = 3x - 1 and g(x) = x^2-4x, find f(g(x)).
A) 3x-1
____
x^2- 4x

B) 3x^2-12x-1
C) 3x^3-13x^2+4x
D) 9x^2-18x+5


Answers

Answer:

[tex] \large{ \boxed{ \tt{3 {x}^{2} - 12x - 1 }}}[/tex]

Please see the attached picture for full solution!

------------- Keep LearninG---- <3

round off to millions
9887674
69954943
47546804

Answers

Answer:

9,887,674 ≈ 10,000,000

69,954,943 ≈ 70,000,000

47,546,804 ≈ 48,000,000

10,000,000
70,000,000
48,000,000
Other Questions
Select the false statement about a budgetA budget balances net income and expenses.A budget provides input to financial planning.A budget is an emergency fund.A budget should be reviewed regularly. What is the central idea of the poem spelling father? About (1-2) Sentences IS NEEDED ASAP PLEASE HURRYThe number of snails in a given Alabama creek bed by each of 30 segments of the creek is as follows:32, 6, 21, 10, 8, 11, 12, 36, 17, 16, 15, 18, 40, 24, 21, 23, 24, 24, 29, 1, 4, 9, 32, 23, 40, 15, 29, 25, 33, 20What is the median number of snails of the 30 segments of this Alabama creek?Question 6 options:242321 HOCN(aq)H+(aq)+OCN(aq)Ka=3104The ionization of cyanic acid, HOCN, is represented above. A certain solution of HOCN has a pH of 2.0. What is the approximate concentration of unionized HOCN(aq) in the solution?310^4M110^2M310^1M210^0M The length of a rectangle is two more than triple the width. If the perimeter is 84 inches, find thedimensions.The width isThe length isSubmit Questioninches.inches. What have archaeological studies of the indus valley cities of mohenjo-daro and harappa revealed?. mind games inc. markets a variety of shooting, fighting, and hunting video games. a state statue is enacted to require all game makers to label any games with an option to kill something as "excessively violent." a court would likely hold this regulation to be Refer to - " The Tea Act"Refer to - "The Stamp Act"Refer to - "The Olive Branch Petition"Refer to - "The Albany Plan" NO LATE SUBMISSIONS WILL BE ACCEPTED - THIS ASSIGNMENT IS DUE TODAY BY TODAY - YOU WILL BE USING CLASS TIME TO COMPLETE THIS ASSIGNMENT.PLEASE COMPLETE THE ASSIGNMENT AS FOLLOWS:FIND EXAMPLES OF DICTION, ETHOS, LOGOS, AND PATHOS FROM THE FOUR DOCUMENTS LISTED ABOVE. WHILE YOU MAY NOT FIND EXAMPLES OF ALL LITERARY DEVICES /LITERARY TRIANGLE METHODS, YOU DO NEED TO MAKE SURE THAT YOU FIND AT LEAST ONE EXAMPLE OF EACH.PLEASE BE SURE TO SUPPORT YOUR CHOICES WITH EVIDENCE FROM THE DOCUMENTS - THAT MEANS YOU NEED TO USE QUOTES. ALSO, BE SURE TO IDENTIFY THE INTENDED AUDIENCE. ADDITIONALLY, YOU NEED TO PROVIDE SOME HISTORICAL CONTENT/INFORMATION IN YOUR ESSAY SO THAT IT IS CLEAR TO YOUR READER WHY THESE DOCUMENTS WERE SO IMPORTANT AND THE INTENDED PURPOSE OF EACH OF THE DOCUMENTS. how does locke describe the state of nature? dont just say, "as totally free." thats true, but what else? What is the equation of the line that passes through the point (-3, 1) and has a slopeof -1/3? Which number sentence is not true? A.|-20||9|D.|9| What general information about the serengeti do we need to research to further investigate the causes for the changes in the african buffalo population? Shazad and her twin brother, Amir, have recently turned 13 years old. Over the past year, family and friends recognize that Shazad has become more impulsive and easily loses her temper; Amir, on the other hand, loses his temper less frequently but has become more aggressive overall. What are some physical changes that males and females experience during puberty that may account for their behavior? What are some emotional and hormonal changes that males and females experience during puberty that may account for their behavior? PLEASE HELP!!!!!! If an index fossil is never found below a key bed what can you infer from this information? QUESTION 4On the playground, Jake stole the (girls/girl's/girls') jump rope. (meaning one girl)girlsgirl'sOgirls' Write and solve an equation to answer the question.How many people must attend the third show so that the average attendance per show is 3000?Write an equation. Write an equation write one Equation:_ =3000 Check all the formulas below that represent binary compounds.NH4CLCaSP05CaSO4NOCl Name:9. A ball is thrown vertically in the air from rest and soars for 4.2 seconds.If the acceleration due to gravity is 9.8 m/s, what is the final velocityof the ball when it is caught? which is the best translation of the dialect in the excerpt? "ah, i hear you crying again. you shouldnt do that. we will make the thieves go away." "ah, your wife is crying again. there is no need for that. we said we were good thieves." "ah, your kids are crying again. there is no need for that. we will make the thieves go away." "ah, your wife is crying again. we will call the other thieves over here if she doesnt stop." conifer leaves are generally thin and needle-like, while seeds are contained in cones. conifers include blank and blank