2 to the 3rd power times 4 divided by 2 plus 2

Answers

Answer 1

Answer: 18

Step-by-step explanation: 2 x 2 x 2= 8

8 x 4 = 32

32 / 2 = 16

16 + 2 = 18


Related Questions

construct a parallelogram whose sides BC=3.5cm CD=4cm BD=5.2cm​

Answers

Answer:

Cd=4cm

Step-by-step explanation:

Properties. convex. In Euclidean geometry, a parallelogram is a simple (non- self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.     And Try TutorMe IS THE BEST WEBSIT AND PLZ MAKE ME THE Brainliest

Which algebraic expression represents the phrase "two times the quantity of a number minus 12"?
2y - 12
2(y -12)
2ly +12)
2y + 12

Answers

Answer:

the correct answer is B

B. 2(y-12)

This is because the two is being multiplied by the expression inside the parentheses (y-12)

43 POINTS I'M BEING TIMED
In the problems below, f(x) = log₂x and
g(x) = log₁₀x
Which point do the graphs of f and g have in common?

Answers

Answer:

(1,0)

Step-by-step explanation:

The point that f(x) = log₂x and g(x) = log₁₀x have in common is where both graph intersect.

Recall that the logarithm of 1 is 0.

This implies that, when we plug in x=1 into both function we get 0.

g(1) = log₁₀1=0

f(1) = log₂1=0

This means the two graphs intersect at (1,0)

Therefore the graphs of f and g have (1,0) in common

Charles rode his bike 19 miles each week while training. Here is his record of the number of miles he rode. Monday 2.2 mi Tuesday ? Wed 3.8 miles, Thursday ? and Friday 5.4 miles

Answers

Answer:

Charles rode his bike 3 miles every Tuesday and 4.6 miles every Thursday while training.

Correct statement and question:

Charles rode his bike 19 miles each week while training. Here is his record of the number of miles he rode Monday 2.2 miles Tuesday? Wednesday 3.8 miles Thursday ? Friday 5.4 miles Charles rode 1.6 miles more on Thursday than Tuesday . Find the number of miles he rode on Tuesday and Thursday

Source:

Previous question that can be found at brainly

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Miles per week Charles rode his bike = 19

Miles every Monday Charles bikes = 2.2

Miles every Tuesday Charles bikes = ?

Miles every Wednesday Charles bikes = 3.8

Miles every Thursday Charles bikes = ?

Miles every Friday Charles bikes = 5.4

Charles rode 1.6 miles more on Thursday than Tuesday

2. Find the number of miles he rode on Tuesday and Thursday.

x = Miles Charles rides every Tuesday

1.6 + x = Miles Charles rides every Thursday

Now, we can write our equation to solve for x, this way:

2.2 + x + 3.8 + x + 1.6 + 5.4 = 19

2x + 13 = 19

2x = 19 - 13

2x = 6

x = 3 ⇒ x + 1.6 = 4.6

Charles rode his bike 3 miles every Tuesday and 4.6 miles every Thursday while training

Answer:

Charles rode his bike 3 miles every Tuesday and 4.6 miles every Thursday while training.

Step-by-step explanation:

It's right I checked.


x + 3y = 5
-x + 6y = 4
Solve the system of equations.
A) x = 1, y = 2
B) x = 2, y = 1
Eliminate
C) x = 1, y = 1
D) x = 0, y = 2

Answers

Answer:

B) x =2 y = 1

Step-by-step explanation:

Classify the following triangle as acute, obtuse, or right

A. Acute
B Right
C Obtuse
D None of these

Answers

The answer is Acute

The correct answer is option C as the shown triangle is obtuse.

Based on the image, the triangle has the following angles:

132°36°12°

Step 1: Sum of angles in a triangle

The sum of the angles in any triangle is always 180 degrees.

Therefore:

[tex]132^0 + 36^0 + 12^0 = 180^0[/tex]

Step 2: Analyze angle measures

Looking at the triangle, the following are the angle measures:

One angle [tex](132^0)[/tex] is greater than [tex]90^0[/tex].

There are no angles exactly equal to [tex]90^0[/tex].

All other angles [tex](36^0,12^0)[/tex] are less than [tex]90^0[/tex].

Step 3: Triangle classification

Based on the angle measures, the following is evident.

The triangle has one angle greater than [tex]90^0[/tex], so it cannot be acute (where all angles should be less than [tex]90^0[/tex]).

The triangle does not have any angles equal to [tex]90^0[/tex], so it is not right.

Since it has one angle greater than [tex]90^0[/tex], the triangle is classified as obtuse.

Thus the triangle is obtuse and it corresponds to option C.

The height of a cylinder is 5 centimeters. The circumference of the base of the cylinder is 16π centimeters. Which measurement is closest to the volume of the cylinder in cubic centimeters?

Answers

Answer:

1,005 cubic centimeters

Step-by-step explanation:

step 1

Find the radius of the base of cylinder

The circumference is equal to

[tex]C=2\pi r[/tex]

we have

[tex]C=16\pi\ cm[/tex]

so

[tex]16\pi=2\pi r[/tex]

solve for r

[tex]r=8\ cm[/tex]

step 2

Find the volume

we know that

The volume of a cylinder is equal to

[tex]V=\pi r^{2}h[/tex]

we have

[tex]r=8\ cm\\h=5\ cm[/tex]

substitute

[tex]V=\pi (8)^{2}(5)[/tex]

[tex]V=320\pi\ cm^3[/tex] ----> exact value

Assume

[tex]\pi =3.14[/tex]

substitute

[tex]V=320(3.14)=1,004.8\ cm^3[/tex]

so

The approximate value is  [tex]1,005\ cm^3[/tex]

The volume of the cylinder in cubic centimeters is 251.2 cm^3

The volume of a cylinder is expressed as:

V = πr²hV = base area * height

GIven the following

Base area =  16π centimeters

Height = 5cm

Substitute into the formula to have:

V = 16(3.14) * 5

V = 251.2 cm^3

Hence the volume of the cylinder in cubic centimeters is 251.2 cm^3

Learn more on cylinders here: https://brainly.com/question/21067083

What fraction is equivalent to 4/12

Answers

fractions include 1/3,8/24,12/36 and so on

1/3 because 4÷4=1 and 12÷4=3 so it is a total of 1/3

All employees at three stores of a large retail chain were asked to fill out a survey.


Is it random, systematic, stratified, or cluster?

Answers

Answer:

Cluster

Step-by-step explanation:

Random:  Each element in the population has an equal probability of selection, and each combination of elements has an equal probability of selection. For instance picking a picking name from a hat.

Stratified: Divide population into groups called strata that differ in important ways. For instance, for a population of a state, male and female strata. for people working in a city, resident and non-resident strata

Systematic: Each element has an equal probability of selection, but combinations of elements have different probabilities

Cluster: this is a form of random sampling. Population is divided into groups, usually geographic or organizational

Which numbers are rational? Select all that apply
A. 3.14
B. Square root of 50
C. 2.33333
D. Square root of 144

Answers

Answer:

A. 3.14

C. 2.33333

D. Square root of 144

Step-by-step explanation:

A. 3.14 true

B. Square root of 50  false because 50 is not a perfect square

C. 2.33333 true

D. Square root of 144  true because √144 = 12

How do you find a volume of a cone?

Answers

Answer:

  V = (1/3)πr²h

Step-by-step explanation:

The volume of a cone is 1/3 the volume of a cylinder with the same radius and height.

  Cylinder Volume = πr²h

  Cone Volume = (1/3)πr²h

where r is the radius (of the base), and h is the height perpendicular to the circular base.

_____

Comment on area and volume in general

You will note the presence of the factor πr² in these formulas. This is the area of the circular base of the object. That is, the volume is the product of the area of the base and the height. In general terms, ...

  V = Bh . . . . . for an object with congruent parallel "bases"

  V = (1/3)Bh . . . . . for a pointed object with base area B.

This is the case for any cylinder or prism, even if the parallel bases are not aligned with each other. (That is, it works for oblique prisms, too.)

Note that the cone, a pointed version of a cylinder, has 1/3 the volume. This is true also of any pointed objects in which the horizontal dimensions are proportional to the vertical dimensions*. (That is, this formula (1/3Bh), works for any right- or oblique pyramid-like object.)

__

* in this discussion, we have assumed the base is in a horizontal plane, and the height is measured vertically from that plane. Of course, any orientation is possible.

Marcus ran to the park and then walked to the store. He
ran 3 times as long as he walked. The total time spent
walking and running was 24 minutes. What equation is
used to solve for how long it took Marcus to walk from the
park to the store?

Answers

Answer:

Step-by-step explanation:

The answer is 24 x 3 or 3 x 24. It says that he ran 3 times and it took 24 minutes. 3 x 24 is 72

Answer:

Step-by-step explanation:

The answer is 24 x 3 or 3 x 24. It says that he ran 3 times and it took 24 minutes. 3 x 24 is 72

hope this helps

Misha and Nora want to buy season passes for a ski lift but neither of them has the $225
needed to purchase a pass. Nora decides to get a job that pays $6.25 per hour. She has
nothing saved right now but she can work four hours each week. Misha already has $80 and
plans to save $15 of her weekly allowance. Who will be able to purchase a pass first?​

Answers

Misha will be able to do it about a week before Nora

Jimmy and his brother bought chocolate at the store. Jimmy bought a certain number of pieces, and his brother bought ten fewr than half the number Jimmy bought. Write an expression to represent how many pieces of cany Jimmy's brother bought.

Answers

Answer:

Lets say Jimmy is represented by J.  And his brother is represented by B.  The total of their candy is T.

J + B = T

B = 1/2J - 10

You would plug in any numbers that you know and then get your answer.

Hope this helps.

4. The dot plot shows the number of miles Amanda skated each day over two months:



Which statement is best supported by the dot plot? Choose ONE and explain your answer.


I. The range of the number of miles Amanda skated in August is less than the range of the number of miles she skated in July.

II. The distribution of data is approximately symmetrical in both sets of data.

III. The mode of the number of miles Amanda skated in July is equal to the mode of the number of miles skated in August.




Answer explanation:


i only need number 4 the others ive done already PLS HURRY IM IN A RUSH ILL GIVE BRAINLYIST

Answers

Answer:

The statements i) and iii) are best supported by the dot plot.

i) The range of the number of miles Amanda skated in

   August is less than the range of the number of miles she

skated in July.

iii) The mode of the number of miles Amanda skated in July

   is equal to the mode of the number of miles skated in

   August.

Step-by-step explanation:

i) The range of the number of miles Amanda skated in August is 1 to 3

  The range of the number of miles Amanda skated in July is 1 to 4

The range of the number of miles Amanda skated in August is less than the range of the number of miles she skated in July.

This is a true statement and this is the correct answer

ii)The distribution of data for the month of July is almost symmetrical but the

   data in August is not.

The range of the number of miles Amanda skated in August is less than the range of the number of miles she skated in July.

This statement is not true.

iii)The mode of the number of miles Amanda skated in July is 1.

   The mode of the number of miles Amanda skated in August is 1.

The mode of the number of miles Amanda skated in July is equal to the mode of the number of miles skated in August.

This is also a true statement.

What is the interquartile range of this data set -5,-4,-3,-2,-1,0,1,2,3,4,5,7,7,7

Answers

Answer:

IQR=5+2=7 because you have to find the median and the median below the median and above the median to get 5 and a negative two and 5 subtract a negative is the same as adding a positive so then you get 7.

Step-by-step explanation:

What is the solution to this equation? x/-5=15

Answers

Answer:

x = -75

Step-by-step explanation:

x/-5=15

x = 15 x -5

x = -75

Answer:

-75

Step-by-step explanation:

Step by step solution :

Step  1  :

            x

Simplify   ——

           -5

Equation at the end of step  1  :

  x    

 —— -  15  = 0

 -5    

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  -5  as the denominator :

         15     15 • -5

   15 =  ——  =  ———————

         1        -5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • -1 - (15 • 5)     -x - 75

—————————————————  =  ———————

        5                5  

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  -x - 75  =   -1 • (x + 75)

Equation at the end of step  3  :

 -x - 75

 ———————  = 0

    5  

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 -x-75

 ————— • 5 = 0 • 5

   5  

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  -x-75  = 0

Solving a Single Variable Equation :

4.2      Solve  :    -x-75 = 0

Add  75  to both sides of the equation :

                     -x = 75

Multiply both sides of the equation by (-1) :  x = -75

One solution was found :

                  x = -75

brainlest please

Please help! AREA OF COMPOSITE FIGURES, what is the area of this figure in photo!???

A.) 49.5in²

B.) 66.5in²

C.) 84 in²

D.) 91 in²

Answers

Answer:

D. 91 in.^2

Step-by-step explanation:

We have two shapes, a square and a triangle.

Area of a square = lw

Area of a triangle = (lw)1/2

Starting off with the square...

A = lw

A = 7 x 7

A = 49

Next with the triangle...

A = (lw)1/2

A = (12 x 7)1/2

A = (84)1/2

A = 42

Add together the areas...

42 + 49

91 in^2

i have given two ways to work it out
area= D 91in^2

The solutions to the equation 2x^2+x-1=2 are x=-3/2 or x= __?__

Answers

Answer:

x₁ = 1

x₂ = - 3/2

Step-by-step explanation:

2x² + x - 1 = 2

2x² + x - 1 - 2 = 0

2x² + x - 3 = 0

2x² + 3x - 2x - 3 = 0

x(2x + 3) - (2x + 3) = 0

(x - 1)(2x + 3) = 0

x - 1 = 0 => x₁ = 1

2x + 3 = 0 => 2x = - 3 => x₂ = - 3/2

Answer:

Step-by-step explanation:

hello :

look this solution

Which of these expressions is equivalent to log (9.4)?
O A. log (9) + log (4)
O B. log (9) - log (4)
O c. 9. log (4)
O D. log (9) • log (4)

Answers

The solution to the given expression is log (9) + log (4).

What is Logarithm?

The logarithm function is defined as the inverse of exponential function. If b = e^(a) then a is defined as a = log(b).

The logarithm of the product of two numbers is equal to the sum of their individual logarithms. The logarithmic properties can be written as log(ab) = log(a) + log(b), log(a/b) = log(a) - log(b) and log(aⁿ) = nlog(a).

The given expression is log(9 × 4).

It can be rewritten as,

log(9 × 4)

Use the property of the logarithm log(ab) = log(a) + log(b) to obtain,

log(9 × 4) = log(9) + log(4)

Hence, the given logarithmic expression can be solved as log (9) + log (4).

To know more about Logarithm click on,

https://brainly.com/question/27389970

#SPJ2

hannah says that 1/8 is not on the number line and cannot be plotted. write a note to hannah about her misunderstanding

Answers

Answer and explanation :

Hannah said that [tex]\frac{1}{8}[/tex] is not on the number line but she is wrong because [tex]\frac{1}{8}[/tex] can be represented on the number line

When we convert the fraction [tex]\frac{1}{8}[/tex] into decimal then it is equal to 0.125

And 0.125 lies between 0 and 1

If we divide one unit on number line into 10 parts then 0.125 lie between 0.1 and 0.2

And we know that any real number can be represented on number line as 0.125 is a real number so it can be represented on the number line

Answer:

This number line represents all number. Although 1

8

is not labeled, it still exists on the number line and can be plotted. 1

8

is located halfway between 0 and 1

4

Step-by-step explanation:

GIVING BRAINLIEST pls explain, Consider these proportions: 1:3 1.5:4.5 2:6 2.5:7.5 Which of the following proportions belongs to the above set? A 5:15 B 6:21 C 7:21 D 8:34 a. A and B c. B and D b. A and C d. C and D

Answers

Answer:

B. A and C

Step-by-step explanation:

1:3, 1.5:4.5, 2:6, 2.5:7.5, 3:9, 3.5:10.5, 4:12, 4.5:13.5, 5:15, 5.5:16.5, 6:18, 6.5:19.5, 7:21

+.5:+1.5


Which expression is equivalent to 7 − x?

Answers

Answer:

Step-by-step explanation:

I need pic

The equivalent expression is y = [tex]e^{x log 7}[/tex].

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

[tex]7^x[/tex]

Let y = [tex]7^x[/tex]

Now,

Taking logs on both sides.

log y = log [tex]7^x[/tex]

log y = x log 7

Taking exponent on both sides.

[tex]e^{logy}[/tex] = [tex]e^{x log 7}[/tex]

y = [tex]e^{x log 7}[/tex]

Thus,

The equivalent expression is y = [tex]e^{x log 7}[/tex].

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

The complete question is given below:

Britany is reading a book. She is able to read about 2 chapters each day. Assuming that, on average, each chapter contains 9.65 pages, which is a good estimate of the number of pages Britany can read in 2 days?

Answers

Answer:

38 to 40.

Step-by-step explanation:

If you round 9.65 to 10, and do the math it would be:

2 x 10 = 20

20 x 2 = 40

a cell phone plan charges $39.90 a month, plus $0.05 per text message Which expression can be solved to find how many text messages ,x, can be sent while still keeping the monthly bill under $50

Answers

X=20

Step-by-step explanation:

39.90-50= 10.1

10.1÷0.05=202

X=202 texts

Check work 0.05×202=10.1 + 39.90=50

If a point is chosen inside the circle, what is the probability that it will also be inside the square?

Answers

Final answer:

The probability that a point chosen inside a circle will also be inside a square is π/4.

Explanation:

The probability that a point chosen inside a circle will also be inside a square can be determined by comparing the areas of the circle and the square. Let's assume that the circle has a radius of r and the square has sides of length 2r. The area of the circle is πr2 and the area of the square is (2r)2 = 4r2. Therefore, the probability of the point being inside the square is given by the ratio of the area of the circle to the area of the square: P = (πr2) / (4r2) = π/4.

Learn more about Probability here:

https://brainly.com/question/32117953

#SPJ12

A basket contains 6 peaches and 8 plums. What is the ratio of peaches to total pieces of fruit.

Answers

Answer:

3:7

Step-by-step explanation:

A basket has:

6 peaches

8 plums

The total amount of fruits is

6+8= 14

The ratio of peaches to total pieces of fruit is:

6:14

3:7

Find decimal notation 1.29%

Answers

1.29 % is converted to decimal as 0.0129

Solution:

"Percent" means "per 100" or "over 100"

To convert 1.29% to a decimal rewrite 1.29 percent in terms of per 100 or over 100

Given percentage is 1.29 %

1.29 % = 1.29 over 100

[tex]1.29 \% = \frac{1.29}{100}[/tex]

1.29 over 100 is the same as 1.29 divided by 100

Completing the division we get:

[tex]1.29 \% = \frac{1.29}{100} = 0.0129[/tex]

Thus the given 1.29 % is converted to decimal as 0.0129

State the first step in solving the equation. - 1/5y + 2 = -3

a. subtract two from both sides
b. multiply both sides by -1/5
c. divide both sides by -1/5
d. add two to each side

Answers

A. Subtract two from both sides because you need the value of y to be by itself so that you can divide it later on

A line represents a proportional relationship. Which set of points could be on the line? A) (−4, −2), (2, 1), (6, 3), (14,7) B) (6, 8), (4, 0), (18, 24), (20, 26) C) (3, 6), (4, 8), (9, 4), (11, 2) D) (1, 1), (2, 1), (3, 3), (4, 2)

Answers

Answer:

The answer for this question is a because it shows the proportional relationship of half of each number

Answer: B

Step-by-step explanation:

Other Questions
Place each qualification in its proper category.must have been a citizen for 9 years,equal numbers for all states,must be at least 30 years old,must have been a citizen for 7 years,must be at least 25 years old,numbers are based on populationCategories: Representatives, senators Solve, graph, and give interval notation for the compound inequality:7 (x + 2) 8 13 AND 8x 3 < 4x 3 Assume you have a byte-addressable machine that uses 32-bit word (integers are 32-bit) and you are storing the following information: the string Inventory followed by a value (569)10 followed by another string Price followed by a value (49.75)10. Also, assume that floating point numbers are stored as single-precision IEEE 754 with 127 excess. a) Show (as hex numbers with word boundary) how this is stored on a big-endian machine. b) Show (as hex numbers with word boundary) how this is stored on a little-endian machine. How motivation, stress and time Management can influence workplace dynamics Wrd dziesiciu poniszych pierwiastkw jest sze liczb niewymiernych. Podkrel je. 64 0,64 49/81 820 36/83 48/81 111 1,21 17 Evidence: Farmers Burns and Dexter-Kemp are at their wits end. It has been a rough year farmingtheir crop of oranges. They have noticed an increase in insects climbing on their fruit. The veins onthe leaves are yellow and there is splotchy mottling all over the leaves. Some of the leaves are fallingoff prematurely. After the fruit ripens, it starts to turn green.What is the disease ? Implement the make change algorithm you designed in the previous problem. Your program should read a text file "data.txt" where each line in "data.txt" contains three values c, k and n. Please make sure you take your input in the specified order c, k and n. For example, a line in "data.txt" may look like the following:3 4 38where c = 3,k = 4,n = 38. That is, the set of denominations is {30,31,32,33,34} = {1,3,9,27,81}, and we would like to make change for n = 38. The file "data.txt" may include multiple lines like above.The output will be written to a file called "change.txt", where the output corresponding to each input line contains a few lines. Each line has two numbers, where the first number denotes a de- nomination and the second number represents the cardinality of that denomination in the solution. For example, for the above input line 3 4 38, the optimal solution is the multiset {27, 9, 1, 1}, and the output in the file "change.txt" is as follows:27 1 91 12which means the solution contains 1 coin of denomination 27, one coin of 9 and two coins of denomination Write a word phrase for the expression 10+(6-4) Because all psychologists are trained in how to design research, gather data, and analyze results, research-based careers occur in every subfield of the discipline, including clinical and counseling psychology. A student is in a drama class where she learns about the history of theater, acting techniques, and set and costume design. She also takes part in the school play, which is voluntary, and has rehearsals after school. What kind of activity is the school play?cocurricularextracurricularcurricularanticurricular The following data represent the social ambivalence scores for 15 people as measured by a psychological test. (The higher the score, the stronger the ambivalence.) 8 12 11 15 14 10 8 3 8 7 21 12 9 19 11 (a) Guess the value of s using the range approximation. s (b) Calculate x for the 15 social ambivalence scores. Calculate s for the 15 social ambivalence scores. (c) What fraction of the scores actually lie in the interval x 2s? (Round your answer to two decimal places.). The store offers a 20% discount. The regular price of a T-shirt is $18. What is the discount price? In the image below, DE || BC. Find the measure of EC. Set up a proportion and solve for the measure. Show your work and label your answer. Please help me -- I will mark brainliest; If your response is inapropriate, or just a way to get points, it will get reported! Thank you so much ! You plan to expose your chlamydomonas culture to 100 nM colchicine to inhibit new protein synthesis. You need to treat 1 x 108cells. The density of your culture is 5 x 107 cells/ml. The molecular weight of colchicine is 399.44. Explain what you need to do. Show your calculations. Calculate the energy of the quantum involved in the excitation of (i) an electronic oscillation of period 1.0 fs, (ii) a molecular vibration of period 10 fs, (iii) a pendulum of period 1.0 s. Express the results in joules and kilojoules per mole. Sensory receptors adjust their response rates on the basis of the average amount of stimuli received, resulting in _____. Sarah says that you can find the LCM of any two whole numbers by multiplying them together. Provide a counter example to show that Sarah's statement is incorrect How does Tapers letter reverse the rhetoric, common among white Americans, which saw the United States as a land of freedom and the British empire as lacking in liberty? Urban Window Company had gross wages of $240,000 during the week ended june 17. The amount of wages subject to social security tax was $240,000, while the amount of wages subject to federal and state unemployment taxes was $35,000. Tax rates are as follows:Social security 6.0%Medicare 1.5%States unemployment 5.5%Federal unemployment 0.8%The total amount witheld from employee wages for federal taxes was $48,000.Required:a. Journalize the entry to record the payroll for the week of June 17. b. Journalize the entry to record the payroll tax expense incurred for the week of June 17. A certain museum has five visitors in two minutes on average. Let a Poisson random variable denote the number of visitors per minute to this museum. Find the variance of (write up to first decimal place).