The length of a rectangle is twice the width. Given that the perimeter of the rectangle is 24 feet, how many square feet are in the area of the rectangle?

Answers

Answer 1

Answer:

Area = 32feet²

Step-by-step explanation:

Perimeter of a rectangule = 2(length+width)

Then:

g = 2w               Eq. 1

2(g+w) = 24       Eq. 2

g = length

w = width

From Eq. 2:

(2*g + 2*w) = 24

2g + 2w = 24      

2w = 24 - 2g            Eq. 3

Matching Eq. 1  and Eq. 3

g = 24 - 2g

g + 2g = 24

3g = 24

g = 24/3

g = 8 feet

From Eq. 1

g = 2w

8 = 2w

8/2 = w

w = 4 feet

Check:

From Eq. 2

2(g+w) = 24

2(8+4) = 24

2*12 = 24

Answer:

Area of a rexctangle = length * width

Then:

Area = 8feet * 4feet

Area = 32feet²


Related Questions

Hi, please help me me by demonstrating how to solve these 2 questions step by step :)

Answers

The given height of the shape is calculated to be 1,895.04 inches.

How to solve for the height

We have the following details required to solve this problem

The distance b1 = 800 m

The angle of elevation β1 = 50°

distance b2 = 1450 m

- The new angle of elevation  α = 33°

We first have to find the height of h1

800 x tan 50 degrees

= 953.40

The height of h2

1450 x tan 33

= 941.641

The height of the shape is the sum of the heights of h1 and h2

953.40 + 941.641

= 1,895.04

Hence the height of the shape is given as 1,895.04 inches.

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Graph the line with a slope of −1 that contains the point (3,6).

Answers

Answer:

The equation of the line is y = -1.x + 9

Graph is provided in the attached figure

Step-by-step explanation:

The slope intercept equation of a line in 2D(x,y) coordinates is given by the equation

[tex]y = mx + c[/tex]

where m is the slope of the line and c the y-intercept i.e. where the line crosses the y axis at x = 0

Given slope = -1, we can find c and the equation of the line

Since (3,6) is a point on the graph, these coordinates must satisfy the above equation

Substitute for y = 6 and x = 3

[tex]6 = (-1)3 + c\\\\c = 9\\\\\textrm{Equation of line is }\\y = -1.x + 9 \\y = 9-x[/tex]

In the attached figure you can see that (3,6) is on the line

Find the product. Write your answer in exponential form. 8^-2•8^-9​

Answers

Answer:

8 ^-11

Step-by-step explanation:

It should be noted that in this case, since it's the product that we want to get, it's important to add the power together. This will be:

8^-2 × 8^-9

= 8^(-2 + -9)

= 8^-11

12.Find the range, the standard deviation, and the variance for the given samples.

13. A data set has a mean of x=3905 and a standard deviation of 110.Find the z-score for each of the following

Answers

Answer:

12. standard deviation =6.22972...

. variance = 38.80952...

Mitch throws a baseball straight up in the air from a cliff that is 95 ft high. The initial velocity is 95 /ftsec. The height (in feet) of the object after t sec is given by =ht+−19t2+95t95. Find the time at which the height of the object is 114 ft. Round your answers to two decimal places.

Answers

The time at which the height of the object is 114 ft rounded to two decimal places is; 5.85 seconds

How to find the height of a projectile?

We are given;

Height of cliff = 95 ft

Initial velocity of throw = 95 ft/s

The height (in feet) of the object after t sec is given by;

h(t) = −19t² + 95t + 95.

Now, we want to find the time at which the height of the object is 114 ft. Thus, we will set h(t) = 114 ft to get;

114 = −19t² + 95t + 95.

Subtract 114 from both sides to get;

−19t² + 95t + 95 = 0

Using quadratic formula, we have;

t = [-95 ± √(95² - 4(-19 * 95))]/(2 * -19)

t = [-95 ± √(16245)]/-38

t = (-95 ± 127.4559)/(-38)

t = (-95 - 127.4559)/-38 or (-95 + 127.4559)/-38

t = 5.85 s or -0.85

Time cannot be negative and so t = 5.85 seconds

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If you borrow $100 for 5 years at an annual interest rate of 8%, how much will you pay all together​

Answers

Answer:

$140

Step-by-step explanation:

interest = 8x5 = 40

total = time + interest

total = 100 + 40 = $140

Consider the functions f(x) = (four-fifths) Superscript x and g(x) = (four-fifths) Superscript x + 6. What are the ranges of the two functions?

Answers

Let the two exponential functions be

[tex]$f(x) = (4/5)^x[/tex] and

[tex]$g(x) = (4/5)^{(x + 6)}.[/tex]

Both of these exist exponential functions with positive bases, we end that the range for both exists: {y| y > 0}.

Therefore, the ranges of the two functions exists {y| y > 0}.

How to find the ranges of the two functions?

Let the two exponential functions be

[tex]$f(x) = (4/5)^x[/tex] and

[tex]$g(x) = (4/5)^{(x + 6)}.[/tex]

Both of these exist exponential functions with positive bases, then neither of these can contain negative outcomes, while, as x increases, the outcome will also increase.

Then both the functions exist exponential growths, so the range for both of these exists the set of all real positive values, written in both cases as: {y| y > 0}.

Therefore, the ranges of the two functions exists {y| y > 0}.

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Find the savings plan balance after 18 months with an APR of 5% and monthly payments of $200.

Answers

The savings plan balance after 18 months is $3,730.38

What is an ordinary annuity?

An ordinary annuity means that periodic savings are made at the end of each period unlike an annuity due where payments are made at the beginning of each period.

To determine the savings plan balance after 18 months, we need to make use of the future value formula of an ordinary annuity provided below:

FV=monthly payment*(1+r)^N-1/r

FV=future value after 18 months=unknown

monthly payment=$200

r=monthly interest rate=5%/12=0.00416666666666667

N=number of monthly payments in 18 months=18

FV=$200*(1+0.00416666666666667)^18-1/0.00416666666666667

FV=$200*(1.00416666666666667)^18-1/0.00416666666666667

FV=$200*(1.07771621094479000-1)/0.00416666666666667

FV=$200*0.07771621094479000/0.00416666666666667

FV=$3,730.38

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– 30% OF THE CELL PHONE USERS TODAY USE A MOTOROLA
PHONE. DETERMINE THE PROBABILITY THAT IF SIX CELL PHONE USERS
ARE SELECTED AT RANDOM, EXACTLY FOUR OF THEM USE A MOTOROLA CELL
PHONE.

Answers

Using the binomial distribution, there is a 0.0595 = 5.95% probability that exactly four of them use a Motorola cell phone.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

For this problem, the values of the parameters are given by:

p = 0.3, n = 6.

The probability that exactly four of them use a Motorola cell phone is given by P(X = 4), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

P(X = 4) = C(6,4) x (0.3)^4 x (0.7)² = 0.0595

0.0595 = 5.95% probability that exactly four of them use a Motorola cell phone.

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laura spends 4 hours reading a book that is 76 pages long. what is the average number of pages she read per hour?

Answers

The average number of pages she reads per hour is 19 pages per hour

How to determine the average number of pages she read per hour?

The given parameters are:

Number of pages = 76 pages

Number of hours = 4 hours

The average number of pages she reads per hour is calculated using the following formula

Average = Number of pages/Number of hours

Substitute the known values in the above equation

Average = 76 pages/4 hours

Evaluate the quotient

Average = 19 pages per hours

Hence, the average number of pages she reads per hour is 19 pages per hours

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A tower that is 114 feet tall casts a shadow 121 feet long. Find the angle of elevation of the sun to the
nearest degree

Answers

Answer:

43 degrees

Step-by-step explanation:

First, notice that we can draw a right triangle to represent this situation. The vertical leg of the triangle corresponds to the tower, and the horizontal leg corresponds to the shadow. The height of the tower, 114, is OPPOSITE, and the length of the shadow, 121, is ADJACENT to the angle of elevation to the top of the tower. Remember SOH CAH TOA, we can use TAN to find the angle since we know the values of O and A.

TAN(x) = O/A

TAN(x) = 114/121

x = ARCTAN(114/121)

x = 43

How many three-digit positive integers have three different digits and at least one prime digit?

Answers

The number of three-digit positive integers that have three different digits and at least one prime digit are 7960.

The only two components in prime numbers are 1 and the number itself.

Any whole number greater than one is a prime number.

It has exactly two factors—1 and the actual number.

There is just one 2-digit even prime number.

Every pair of prime numbers is always a co-prime.

The product of prime numbers can be used to represent any number.

Three-digit positive integers that have three different digits and at least one prime digit = 3!*4!*10*9 = 7960

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A total of 646 tickets were sold. They were either adult ticket or student tickets. There were 54 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Answer:

350

Step-by-step explanation:

Let the number of adult tickets be x, then the number of student tickets sold would be (x–54).

We now have

x+(x–54)=646

2x=700

x=350

Therefore, 350 adult tickets were sold.

In a student club, the probability that a randomly selected member volunteered for a recent activity was 24/43. What is the probability that a randomly selected member did not volunteer for the recent activity?

Answers

The probability that a randomly selected member did not volunteer for the recent activity is 19/43.

What is the probability?

Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0. The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.

The probability that a randomly selected member did not volunteer for the recent activity = 1 - ratio of randomly selected members that volunteered

1 - 24/43

(43/43) - (24/43) = 19/43

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Find the range for the set of data 24, 30, 17, 22, 22

Answers

Answer:

13

Step-by-step explanation:

The range of the data set can be defined as: max-min, and in a sorted data  set, the min should be the first value, and the max should be the last value. We don't necessarily need to sort the data here, since we're just looking for two values which we can easily compare to other numbers without having them in order. Although it's important to note when looking for stuff like the median, first, and third quartile you should sort the data.

With that being said, let's look for the min and max! So by looking at the data set, you should be able to determine that the min (minimum) value is 17, and that the max (maximum) value is 30.

This means the range is defined as: 30 - 17 = 13

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Question reads....}[/tex]

[tex]\text{Find the range for the set of data 24, 30, 17, 22, 22}[/tex]

[tex]\huge\textbf{What does \boxed{range} mean in math?}[/tex]

[tex]\boxed{Range}\rightarrow\text{is the DIFFERENCE between the biggest number and the}\\\text{smallest number.}[/tex]

[tex]\huge\textbf{How do you find the \boxed{range}?}[/tex]

[tex]\text{You find the biggest number \& subtract it from the smallest number.}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\text{24, 30, 17, 22, 22}[/tex]

[tex]\huge\textbf{The \boxed{\mathsf{\mathsf{biggest}}} number }\huge\boxed{\downarrow}[/tex]

[tex]\text{30}[/tex]

[tex]\huge\textbf{The \boxed{\mathsf{\mathsf{smallest}}} number }\huge\boxed{\downarrow}[/tex]

[tex]\text{17}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\rm{30 - 17}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\large\text{Start at 30 and go DOWN 17 spaces to the \boxed{left} and you will}\\\large\text{have your answer. }[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{13}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Maria had a seven square-foot piece of construction paper. She used four square feet of the paper to make a large greeting card for a friend. Which operation would help to find the amount of paper she could use for another card? O division O addition subtraction multiplication​

Answers

Answer:

subtraction

Step-by-step explanation:

If she had 7 sqft and used up 4 sqft, she no longer has that 4 sqft. It's used up, gone, taken away. We remove it from her total. That is "take away" this means subtraction.

7 - 4

= 3 she has 3sqft of construction paper left.

Need help please...

Answers

Step-by-step explanation:

Here! ●□●□●□●□● THIS IS THE ANSWER BRO

ASAP help me with this PLEASE

Answers

Answer:

98 degrees

Step-by-step explanation:

In a quadrilateral, we have 4 angles whose sum is 360 degrees which can be derived using the Exterior Angle Sum Theorem which essentially states that any convex polynomial will have a sum of 360 degrees for it's exterior angles.

Since we know that two of the angles are equal, we can just represent angle A and D as "x", and since they're congruent, and there is two of them, the sum can be represented as "2x"

So using all the known values we can set up the following equation:

[tex]2x+64+100=360[/tex]

Simplify on the left side

[tex]2x+164=360[/tex]

Subtract 164 from both sides

[tex]2x=196[/tex]

Divide both sides by 2

[tex]x=98[/tex]

Since we know that "x" represents both angle A and B, then the angle A is 98 degrees.

Useing graph paper draw a array for 237×43

Answers

The attached figure represents the array for 237 x 43

How to draw the array?

The array is given as:

237 x 43

An array is represented as:

Row x Column

This means that:

Row = 237

Column = 43

i.e. the array has 237 rows and 43 columns

The numbers are large, so the cells would be small when the arrays are drawn

See attachment for the array

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Solve for exponential the value of X

Answers

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

The two triangles are right angled Triangles and they have one common angle. so the two triangles are similar to each other.

By using similarity, ratio of their corresponding sides must be equal as well~

[tex]\qquad \sf  \dashrightarrow \: \cfrac{1}{2 + 1} = \cfrac{3}{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \cfrac{1}{3} = \cfrac{3}{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 3 \times 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 9 \: \: units[/tex]

Toenails grow at an average rate of about 0.05 mm per day, and the average toenail is about 3/4 inch long. About how many months does it take for a toenail to completely regenerate itself?

Answers

0.05 mm * ? days = 0.75 inch

Use proportions

1 mm = 0.0394 inch
0.05 mm = 0.00197 inch

0.75 inch / 0.00197 inch = 380.71

380.71 days / 30 days = 12.7 months

The number of months taken for the toenail to completely regenerate itself is 13 months

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

We have,

Toenail grows:

0.05 mm per day

0.05 mm = 1 day

[ 1 inch = 25.4 mm ]

So,

1 mm = 1/25.4 inch

0.05 x 1/25.4 inch = 1 day

0.0019 inch = 1 day

Divide both sides by 0.0019

1 inch = 1/0.0019 day

1 inch = 526.32 days

Multiply 3/4 on both sides.

3/4 inch = 3/4 x 526.32 days

3/4 inch = 395 days _____(1)

We can assume,

1 month = 30 days

Multiply 395/30 on both sides.

395/30 months = 395 days

13 months = 395 days _____(2)

From (1) and (2) we get,

3/4 inch = 13 months

Thus,

The number of months taken for the toenail to completely regenerate itself is 13 months.

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8v(v+3)(v+3) rewrite the expression factoring out (v+3)

Answers

If we rewrite the expression 8v(v+3)(v+3) then we will get [tex]v^{3}+6v^{2} +9v[/tex]

Given an expression 8v(v+3)(v+3).

We are required to rewrite the given expression.

Expression is a combination of numbers, symbols, fraction , determinants,indeterminants, coefficients. They are not mostly found in equal to form. It expresses a relationship of a line or something else.

The expression is 8v(v+3)(v+3). There are three terms in which variable is v.

To rewrite the expression we have to multiply all the three terms with each other which can be done as under:

=8v(v+3)(v+3)

=[tex](8v^{2}+24v)(v+3)[/tex]

=[tex]8v^{3}+24v^{2}+24v^{2}+72v[/tex]

=[tex]8v^{3}+48v^{2} +72v[/tex]

Now divide it by 8.

=[tex]v^{3}+6v^{2} +9v[/tex]

Hence if we rewrite the expression 8v(v+3)(v+3) then we will get [tex]v^{3}+6v^{2} +9v[/tex] .

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need heeeelp please ​

Answers

Answer:

x = 1.086

Step-by-step explanation:

Formula

6^x = 7                     Take the log of both sides.

Solution

log 6^x = log 7         Bring the power down You are now dealing with log 6

x * log 6 = log 7        Divide by log 6

x = log 7/log 6

x = .8451 / .7782       Divide

Answer

x = 1.086

5. Based on your data, what is the experimental probability that the family has two dogs or
two cats?

Answers

Answer:

2 dogs

Step-by-step explanation:

integer for 1,440 feet below sea level

Answers

-1440
Since the value is BELOW sea level (referred to as zero) the value is negative

The cheetah area at a zoo is designed in a triangular fashion, surrounded on all three sides by sidewalks. The property has 67 feet of frontage on one sidewalk, and 48 feet of frontage on another; these two sidewalks intersect at a 72° angle. What is the square footage of the cheetahs' habitat? Round to the nearest hundredth.

Answers

1529.3 square unit is the area of the cheetah area at a zoo is designed in a triangular fashion, surrounded on all three sides by sidewalks, given that the property has 67 feet of frontage on one sidewalk, and 48 feet of frontage on another; these two sidewalks intersect at a 72° angle. This can obtained by using the formula of Area of a Triangle with 2 Sides and Included Angle.

Find the area of the cheetah area at the zoo:

Area of a triangle is obtained using the formula of Area of a Triangle with 2 Sides and Included Angle.

If in a triangle ΔABC,

1/2 × bc × sin(A), if b and c are two sides of a triangle and angle A is the included angle1/2 × ac × sin(B), if a and c are two sides of a triangle and angle B is the included angle1/2 × ab × sin(C), if a and b are two sides of a triangle and angle C is the included angle

Here it is given that,

67 feet and 48 feet are the sides of the triangular space and angle 72° is the included angle.

By using the formula of Area of a Triangle with 2 Sides and Included Angle,

Area of the cheetah area = 1/2 × bc × sin(A)

Area of the cheetah area = 1/2 × (67)(48) × sin(72°)

sin(72°) = 0.951056516

Area of the cheetah area = 1608 × 0.951056516

Area of the cheetah area = 1529.29888 ≈ 1529.3 square unit

             

Hence 1529.3 square unit is the area of the cheetah area at a zoo is designed in a triangular fashion, surrounded on all three sides by sidewalks, given that the property has 67 feet of frontage on one sidewalk, and 48 feet of frontage on another; these two sidewalks intersect at a 72° angle.

   

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What is the common denominator of x+5/x+8=1+6/x+1?

Answers

Answer:

(x+8) (x+1)

Step-by-step explanation:

To find the common denominator, we need to find the least common multiple of the terms in the denominator

(x+8) from the first term

(1) from the second term

(x+1) from the third term

The least common denominator is

(x+8) (1)(x+1)

Simplifiying

(x+8) (x+1)

If f ( x ) = 3x 2 - 6x + 2 and g ( x ) = 2x 2 + 2x - 11,
then find f ( x ) + g ( x ).

Answers

Answer:

[tex]5x^{2} -4x-9[/tex]

Step-by-step explanation:

f(x)+g(x)

[tex](3x^{2} -6x+2) + (2x^{2} +2x-11)\\3x^{2} -6x+2 + 2x^{2} +2x-11\\[/tex]
combine like terms --
[tex]5x^{2} -4x-9[/tex]

The sum of the given two functions f(x) = 3x² -6x + 2 and g(x) = 2x²+ 2x -1 is: f(x) + g(x) = 5x² - 4x - 9

Given that:

Functions, f ( x ) = 3x² - 6x + 2

And g ( x ) = 2x² + 2x - 11.

Then find f ( x ) + g ( x ).

To find the sum of two functions, f(x) + g(x), simply add the corresponding terms together.

To find f(x) + g(x), add the coefficients of the corresponding terms:

f(x) + g(x) = (3x² + 2x²) + (-6x + 2x) + (2 - 11)

Now, combine like terms:

f(x) + g(x) = 5x² - 4x - 9

So, the sum of the two functions is:

f(x) + g(x) = 5x² - 4x - 9

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You plan to make a new fenced area in your back yard for your dog. The length of each side of the new dog area is
shown in meters in the diagram below. What is the perimeter of the new dog area?
20 meters
23 meters
29 meters
26 meter

Answers

Answer is 26 meters
Step by step
Perimeter is the measurement of all sides added together
3+3+3+4+6+7= 26
The answer is **26**, because 3+3+3+4+6+7=26

what is a1 of the arithmetic sequence for which a3=126 and a64= 3,725

Answers

If the third term of the aritmetic sequence is 126 and sixty fourth term is 3725 then the first term is 8.

Given the third term of the aritmetic sequence is 126 and sixty fourth term is 3725.

We are required to find the first term of the arithmetic sequence.

Arithmetic sequence is a series in which all the terms have equal difference.

Nth term of an AP=a+(n-1)d

[tex]A_{3}[/tex]=a+(3-1)d

126=a+2d--------1

[tex]A_{64}[/tex]=a+(64-1)d

3725=a+63d------2

Subtract second equation from first equation.

a+2d-a-63d=126-3725

-61d=-3599

d=59

Put the value of d in 1 to get the value of a.

a+2d=126

a+2*59=126

a+118=126

a=126-118

a=8

[tex]A_{1}[/tex]=a+(1-1)d

=8+0*59

=8

Hence if the third term of the arithmetic sequence is 126 and sixty fourth term is 3725 then the first term is 8.

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if you rolled two dice what is the probability that you would roll a 4 or a 5 A mixture of 0.600 mol of bromine and 1.600 mol of iodine is placed into a rigid 1.000-L container at 350C.Br2(g) + I2(g) 2IBr(g)When the mixture has come to equilibrium, the concentration of iodine monobromide is1.190 M. What is the equilibrium constant for this reaction at 350C? Show step-by step explanation.A) 3.55 10^3 B) 1.24C) 1.47D) 282E) 325 A painting by jacques-louis david. roman orator horace receives allegiance from his three sons to protect rome. what is the title of the piece above? a. oath of horatii b. oath of horatio c. oath of horus d. oath of homer If you are choosing a single card from a standard deck of playing cards, what isthe probability that you draw a face card or a heart?Your answer should be in the form of a fraction. Type it like this: 15/52.Just to review: There are 52 cards in a deck. There are 4 suits with 13 cards each.o 2 red suits - hearts and diamondso 2 black suites - clubs (look like clovers) and spades Each suit has an Ace, numbered cards 2-10, and 3 "face" cards--a Jack, Queen, and King. A transformer with X turns in primary coil and Y turns in secondary coil is used to change the magnitude of voltage to 240 V. Calculate the input voltage and name the type of transformer if Y= 2 X. If f(x)=x^3 and (fog)(x)=x, then g(64) = Calculate the number of molecules in 1500 mL of a gas measured under a pressure of 800.0torr at 19.0C I need help with this project I just have to write about building pollution in New York and whats currently being done to stop the pollution When sympathetic activation occurs, there is increased activity in the cardiovascular and respiratory centers of the ________. Calculate the following, and place the calculated solution on the appropriate line. In all cases, assume the companies that are the subject of the question are US companies using US GAAP.a. Berful sells one product. It had one item in beginning inventory that cost $10,000, and purchased 4 more items during the accounting period. The cost changed with each purchase, as shown below:Item Cost of ItemFirst $12,000Second 14,000Third 15,000Fourth 16,000If 3 items were sold during the year, calculate the cost of ending inventory using the following cost flow assumptions (Remember beginning inventory in your calculations!):FIFO $_____________LIFO $_____________Weighted Average $_____________b. Berful purchased a machine on the first day of the accounting period at a cost of $22,000. The machine is expected to have a life of 5 years or 20,000 units, and a salvage value of $2,000. Calculate the second year depreciation expense using the following depreciation methods (6,000 units produced in year 2):Straight-line $_____________Double-declining Balance $_____________Units-of-production $_____________c. Calculate the correct balance of cash to be included in the Cash account on the firms balance sheet by preparing a bank reconciliation of its checking account from the data given below:Item AmountBalance per Bank Statement $16,655.44Balance per Books $12,091.94Deposits in Transit $ 2,234.81Outstanding Checks $ 6,808.16Bank Service Charge $ 9.85 Correct balance of cash in this account $__________d. Show the accounting entry required as a result of the above bank reconciliation in the space below:e. If Berful uses the Allowance Method to determine its bad debt expenses, establishing its estimate as 1% of Net Sales, and Net Sales total $600,000, show the adjusting journal entry required if the Allowance for Bad Debts account has a debit balance of $2,000? A scientist is studying the outer reef section of a coral reef. what features are they likely to see? Agile project management involves ____ whereas traditional project management involves _______. Given the orbits of pluto and the kbos if you wanted to search the sky for similar objects, would you look in the same part of the sky as you find the classical planets why or why not? Use 3.14 for pi. ROUND YOUR FINAL ANSWER TO THE NEAREST TENTHS PLACE! A local baseball team is struggling this season, and many fans of the team believe it may be time to replace the head coach. to estimate support for firing the current head coach, a television news station provides a link on its website where fans of the team can respond to the question: "do you feel the current head coach should be fired?" after 2,367 votes on the website, 79% of those who responded felt the coach should be fired. which of these describes the type of bias in this survey and a likely direction of the bias in estimating overall support for firing the coach? Blood flowing into the heart from the venae cavae flows next through the ________ valve. The purpose of language is communication- not communication in a void, but communication between the writers or speakers and their audiences. Communication styles of writers and speakers will reflect their personalities and backgrounds. However, the way they express themselves should be consistent with the nature and background of their audiences.The main idea of this paragraph is thata) the language people use reflects their backgrounds and natures.b) how people speak must reflect their audiences' backgrounds and natures c) communication does not take place in a void, but between people d) to communicate effectively, people should consider their audiences while being themselves Find the measures of x and y A person of weight 600 n is standing with one foot on each of two bathroom scales. The scales readings are? The local gym is offering this new promotion: An enrollment fee of $40 and a monthly fee of $30. Which of the following expressions represents the cost of the gym membership for m months?40+30m=c40 plus 30 m is equal to c30+40m=c30 plus 40 m is equal to c40+30m40 plus 30 m30+40m