PLEASE HELP I PUT THE PROBLEM AS A PICTURE PLEASE ANSWER WILL GIVE 30 POINTS SHOW WORK

PLEASE HELP I PUT THE PROBLEM AS A PICTURE PLEASE ANSWER WILL GIVE 30 POINTS SHOW WORK

Answers

Answer 1

Answer:

[tex]\huge\boxed{9}[/tex]

Step-by-step explanation:

[tex]\sf (2^8 * 3^{-5} * 6^0)^{-2 } (\frac{3^{-2}}{2^3} )^4*2^{28}[/tex]

Rule of exponents [tex]a^0 = 1[/tex] , [tex]1/a^m = a^{-m}[/tex]

=> [tex]\sf 2^{8*-2} * 3 ^{-5*-2} * 3 ^{-2}* 2^{-3*4} * 2^{28}[/tex]

=> [tex]\sf 2 ^ {-16} * 3^{10} * 3^{-8} * 2 ^{-12}* 2^{28}[/tex]

Combining same bases

=> [tex]\sf 2 ^ {-16} * 2 ^{-12}* 2^{28}* 3^{10} * 3^{-8}[/tex]

When bases are same , powers are to be added

=> [tex]\sf 2 ^{-16-12+28} * 3^{10-8}[/tex]

=> [tex]\sf 2^{-28+28} * 3^2[/tex]

=> [tex]\sf 2^0 * 3^2[/tex]

=> [tex]\sf 3^2[/tex]

=> 9


Related Questions

make u the subject of the formula
u-x/v-x=u/v²​

Answers

Answer:

See below.

Step-by-step explanation:

[tex]\frac{u-x}{v-x}=\frac{u}{v^2} \\[/tex]

Cross multiply and distribute.

[tex]u(v-x)=v^2(u-x)\\uv-ux=uv^2-xv^2[/tex]

Move all the u to the left side:

[tex]uv-ux-uv^2=-xv^2[/tex]

Factor out a u:

[tex]u(v-x-v^2)=-xv^2[/tex]

Divide:

[tex]u=\frac{-xv^2}{v-x-v^2}=\frac{xv^2}{x+v^2-v}[/tex]

(I factored out a negative in the second term.)

Jacob is playing a game where he earns 3 points for a correct answer and loses 2 points for an incorrect answer. He
currently has 6 points. What situation would end with him breaking even?

Answers

Answer:

Step-by-step explanation:

If he answers the next 3 questions incorrectly he will break even:

6 - 3(2) = 0.

Answer:

C. answering the last two questions correctly

Step-by-step explanation:

Did it on edge, hope this helps :) Brainliest?

|

|

V

HELPP PLEASE I’ll give a brainlist

Answers

The lowest you can go without adding fractions is four to three, but you can do two to a half too.

You know that the average college student eats 0.75 pounds of food at lunch. If the standard deviation is 0.2 pounds of food, then what is the total amount of food that a cafeteria should have on hand to be 90 percent confident that it will not run out of food when feeding 50 college students?

Answers

Answer: $53.95

Step-by-step explanation:

Given: [tex]\mu=0.75[/tex] pounds

[tex]\sigma= 0.2[/tex] pounds

n= 50

Two tailed critical z-value for 90% confidence level = 1.645

Let x be the total amount of food that a cafeteria should have on hand to be 90 percent confident that it will not run out of food .

z-score = [tex]\dfrac{x-\mu}{\sigma}[/tex] [tex]=\dfrac{x-0.75}{0.2}[/tex]

Then, [tex]\dfrac{x-0.75}{0.2}=1.645[/tex]

[tex]x-0.75=1.645\times0.2\\\\\Riightarrow\ x-0.75=0.329\\\\\Rightarrow\ x= 0.329+0.75\\\\\Rightarrow\ x= 1.079[/tex]

Foe 50 students, total amount of food = 1.079 x 50 = $53.95

hence, the cafeteria should have food of amount $53.95 so that it is be 90 percent confident that it will not run out of food.

help! ill give brainliest

Answers

Answer:

84 square inches is the correct answer.

Step-by-step explanation:

I am 100% sure of that.

Hope this helps....

Have a nice day!!!!

Hunter is copying an angle. His work so far follows. Explain the importance of his next step, which is drawing a line through A and Y using a straightedge.

This is to check to make sure that A is in the right place, since it was drawn using the arcs.

Using a straightedge ensures that there is a line passes through A and Y.

Because a line was drawn through point L, a similar line should be drawn through the corresponding point on ∠AYZ.

This is the other ray that will make up the angle ∠AYZ and will complete the construction.

Answers

Answer:

  This is the other ray that will make up the angle ∠AYZ and will complete the construction.

Step-by-step explanation:

The point of the construction is to copy the angle. That is, the end result must be an angle with identical measure to the original. The construction so far has no angle at Y. Drawing ray YA will complete the construction and create the desired angle. That is, YA ...

  This is the other ray that will make up the angle ∠AYZ and will complete the construction.


What is the measure of circumscribed LX?

O 45°
O 50°
O 90°
O 950

Answers

Answer:

90°

Step-by-step explanation:

The angle a tangent makes with a radius at the point of tangency is 90 deg.

There are three 90-deg angles in the quadrilateral, so the 4th angle must also measure 90 deg.

Answer: 90°

Based on the tangent theorem the measure of the circumscribed ∠X is: 90°.

What is the Tangent Theorem?

The tangent theorem states that an angle of 90 degrees is formed at the point of tangency where a tangent meets the radius of a circle.

YX and WX are tangents of the circle.

m∠Y = m∠W = 90°

Sum of interior angles of a quadrilateral is 360°

m∠X = 360 - 90 - 90 - 90

m∠X = 90°

Therefore, based on the tangent theorem the measure of the circumscribed ∠X is: 90°.

Learn more about the tangent theorem on:

https://brainly.com/question/9892082

Which expression is equivalent to 125x6, 1533?

Answers

Answer:

511 x 3 = 1533

Step-by-step explanation:

here's another:

219 x 7

hope this helpes

Sandy's older sister was given $2,400 and was told to keep the balance of the money after sharing with her siblings. Give Sandy exactly $350. Write Sandy's portion

Answers

Answer:

Sandy's portion = [tex]\mathsf{\dfrac{7}{48}}[/tex]

Step-by-step explanation:

Sandy's older sister was given $2,400

She was told to keep the balance of the money after sharing with her siblings.

She gave  Sandy exactly $350

The objective is to write Sandy's portion.

Sandy's portion will be the ratio of the amount given to Sandy divided by the total amount at her sister disposal.

Let Sandy's older sister be y,

So, y = 2400

Sandy's portion = [tex]\dfrac{350}{2400}[/tex]

Sandy's portion = [tex]\dfrac{35}{240}[/tex]

Sandy's portion = [tex]\mathsf{\dfrac{7}{48}}[/tex]

What are the factors of the quadratic function represented by this graph?


A. 

(x − 1) and (x − 5)

B. 

(x + 1) and (x + 5)

C. 

(x − 1) and (x + 5)

D. 

(x + 1) and (x − 5)

Answers

The factors of the quadratic equations are (x + 1) and (x + 5) which is represented on the graph.

What is quadratic equation?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^2 + bx + c = 0,[/tex]

Here in the graph we can see that the x coordinate cut by the curve of the quadratic equation is in the negative side of x at -1 and -5.

So the factors of the quadratic equations are (x + 1) and (x + 5) which is represented on the graph.

To know more about quadratic equation follow

https://brainly.com/question/1214333

#SPJ2

Answer:

Check Screenshot

Step-by-step explanation:

A certain pole has a cylinder-like shape, where the base's radius is 10 centimeters and the height is 2 meters. What calculation will give us the estimated surface area of the pole in square centimeters?

Answers

Answer:

2 pi •10•210

Step-by-step explanation:

Khan academy

40 POINTS!!!!

ANSWER ASAP!!!

What is the value of y?
O 3 sqrt 3 units
O 6 sqrt 3 units
O 9 sqrt 3 units
O 12 sqrt 3 units

Answers

Answer:

6 sqrt(3) = y

Step-by-step explanation:

We can use the leg rule to find y

hyp      leg

----- = -------

leg        part

9+3      y

----- = -------

y       9

Using cross products

12*9 = y^2

108 = y^2

Taking the square root of each side

sqrt(108) = sqrt(y^2)

sqrt(36 *3) = y

6 sqrt(3) = y

Answer: B) 6/3 units

Step-by-step explanation:

Which pair of parallelograms is similar?

Answers

Answer: none of these

Explanation:

Their sides are not parallel to one another

Answer:

EFGH ~ IJKL

Step-by-step explanation:

There sides are both parallel.

Hope this helped you :)

The basic unit in which data are stored in an accounting system is called an __________. These storage units should be so constructed as to readily receive money measurements of the __________ or ___________ in the items for which they are established. The basic unit in which data are stored in an accounting system is called an __________. These storage units should be so constructed as to readily receive money measurements of the __________ or ___________ in the items for which they are established.

Answers

Answer:

an accounts; credit or debit.

Step-by-step explanation:

Remember, accounting involves activities done to keep financial records. Interestingly, a similar term is used to refer to the basic unit in which data are stored in an accounting system called accounts.

Also, we need to bear in mind that this financial records written as storage units would include incoming or outgoing money measurements often called debit or credit transactions in the items for which they are established.

Evaluate the expression using the values in the left column to complete the table

Answers

Answer/Step-by-step explanation:

A. [tex] 4b + 3b [/tex]

Using b = 2

[tex] 4(2) + 3(2) = 8 + 6 = 14 [/tex]

Using b = 4

[tex] 4(4) + 3(4) = 16 + 12 = 28 [/tex]

Using b = 6

[tex] 4(6) + 3(6) = 24 + 18 = 42 [/tex]

Using b = 8

[tex] 4(8) + 3(8) = 32 + 24 = 56 [/tex]

Using b = 10

[tex] 4(10) + 3(10) = 40 + 30 = 70 [/tex]

Using b = 2

[tex] 4(12) + 3(12) = 48 + 36 = 84 [/tex]

B. [tex] 3(x - 2) [/tex]

Using x = 3

[tex] 3(3 - 2) = 3(1) = 3 [/tex]

Using x = 5

[tex] 3(5 - 2) = 3(3) = 9 [/tex]

Using x = 7

[tex] 3(7 - 2) = 3(5) = 15 [/tex]

Using x = 9

[tex] 3(9 - 2) = 3(7) = 21 [/tex]

Using x = 11

[tex] 3(11 - 2) = 3(9) = 27 [/tex]

Using x = 13

[tex] 3(13 - 2) = 3(11) = 33 [/tex]

C. [tex] 5(4a - 1) [/tex]

Using a = 2

[tex] 5(4(2) - 1) = 5(8 - 1) = 5(7) = 35 [/tex]

Using a = 3

[tex] 5(4(3) - 1) = 5(12 - 1) = 5(11) = 55 [/tex]

Using a = 4

[tex] 5(4(4) - 1) = 5(16 - 1) = 5(15) = 75 [/tex]

Using a = 5

[tex] 5(4(5) - 1) = 5(20 - 1) = 5(19) = 95 [/tex]

Using a = 6

[tex] 5(4(6) - 1) = 5(24 - 1) = 5(23) = 115 [/tex]

Using a = 7

[tex] 5(4(7) - 1) = 5(28 - 1) = 5(27) = 135 [/tex]

D. [tex] 6y - 2y + 4 [/tex]

Using y = 2

[tex] 6(2) - 2(2) + 4 = 12 - 4 + 4 = 12 [/tex]

Using y = 3

[tex] 6(3) - 2(3) + 4 = 18 - 6 + 4 = 18 - 2 = 16 [/tex]

Using y = 5

[tex] 6(5) - 2(5) + 4 = 30 - 10 + 4 = 30 - 6 = 24 [/tex]

Using y = 10

[tex] 6(10) - 2(10) + 4 = 60 - 20 + 4 = 60 - 16 = 44 [/tex]

Using y = 8

[tex] 6(8) - 2(8) + 4 = 48 - 16 + 4 = 48 - 12 = 36 [/tex]

Using y = 6

[tex] 6(6) - 2(6) + 4 = 36 - 12 + 4 = 36 - 8 = 28 [/tex]

A 3 L bottle of oil costs $36 and contains 12 cups. Dinesh puts 1 cup of oil, 10 garlic gloves and 1 cup of
lemon juice in each batch of hummus recipe that he makes. Dinesh makes 5 batches of hummus.
What is the total cost of oil that he uses in the 5 batches of his recipe?

Answers

The correct answer is $15

Explanation:

The first step is to determine the total of oil that was used for the 5 batches. To find this, you just need to multiply the amount of oil used for one batch by the total batches.

1 cup of oil per batch x 5 batches = 5 cups of oil

This means, in the 5 batches the oil Dinesh used was 5 cups of oil. Additionally, you know the total of cups in the bottle of oil is 12 cups, and these 12 cups or total costs $36. Now to find what is the cost of the 5 cups use the rule of three and cross multiplication.

12 cups of oil = $36   1. Write the values

5 cups of oil  = x      

12 x = 180           2.  Cross multiply this means 36x 5 and 12 multipy by x

x = 180 ÷ 12        3. Solve the equation

x=  15 - Cost for 5 cups used in the batches

Triangle A' B' C' is a dilation of a triangle ABC. The scale factor is [tex]\frac{3}{4}[/tex]. Point B is 11 inches away from the center of dilation is point B'?

Answers

Answer:

None of the options are correct

Step-by-step explanation:

Let us assume point B is at (x, y) and the center of dilation is at (a, b). Therefore the distance between the two points is:

[tex]Distance =\sqrt{(b-y)^2+(a-x)^2}=11 \\\\\sqrt{(b-y)^2+(a-x)^2}=11[/tex]

If Triangle ABC is then dilated by 3/4, the new coordinate is B'(3/4 (x-a) + a, 3/4 (y - b) + b). The distance between B' and the center of dilation would be:

[tex]Distance =\sqrt{(b-[\frac{3}{4}( y-b)+b])^2+(a-[\frac{3}{4} (x-a)+a])^2}[/tex]

Therefore the distance cannot be gotten until the center of dilation is given

need help pls will give you 5 stars

Answers

Answer:

f(x + k)

Step-by-step explanation:

A horizontal shift moves to the left or right

y = f(x + k)  k > 0 moves it left

                   k < 0 moves it right

i need help please i give 5 stars ;(

Answers

Answer:

D. [tex]\sqrt{\frac{2*2*2*2*3}{5*5*7} }[/tex]

Step-by-step explanation:

48 divided by 2 is 24. Insert the 2.

24 divided by 2 is 12. Insert the 2.

12 divided by 2 is 6. Insert the 2.

6 divided by 2 is 3. Insert the 2 and 3:

[tex]48=2*2*2*2*3[/tex]

175 divided by 5 is 35. Insert the 5.

35 divided by 5 is 7. Insert the 5 and 7:

[tex]175=5*5*7[/tex]

:Done

(01.02 HC)Morris is showing his work in simplifying (−6.7 + 4.3) − 1.2. Step 1: (4.3 − 6.7) − 1.2 Step 2: 4.3 − (6.7 + 1.2) Step 3: 4.3 − (7.9) Step 4: −3.6

Answers

Answer:

Option (C)

Step-by-step explanation:

This question is incomplete; here is the complete question.

Morris is showing his work in simplifying,

(-6.7 + 4.3) - 1.2

Step 1: (4.3 - 6.7) - 1.2

Step 2: 4.3 - (6.7 + 1.2)

Step 3: 4.3 - 7.9

Step 4: -3.6

Which statement is true ?

A). Step 1, Morris used the commutative property.

B). Step 2, Morris used the distributive property.

C). Step 3, Morris used the associative property.

D). Step 4, Morris's answer is incorrect.

In associative property,

a + (b + c) = (a + b) + c

By this property,

(-6.7 + 4.3) - 1.2

Step 1, (-6.7 + 4.3) - 1.2 = (4.3 - 6.7) - 1.2

Step 2, (4.3 - 6.7) - 1.2 = 4.3 - (6.7 + 1.2) [Use of associative property]

Step 3, 4.3 - 7.9

Step 4, -3.6

Usha had a balance of -$84. She worked for 6 days and put half the money in the bank. Now she has a balance of -$45. How much does Usha get paid each day for newspaper delivery?

Answers

Answer:

$13

Step-by-step explanation:

First, find how much she put into the bank:

84 - 45 = $39

Then, multiply this by 2 to find how much she made, because this was half of the money she got:

39(2) = 78

Then, divide this by 6 to find how much she makes a day:

78/6 = 13

= $13

A box contain 12 balls in which 4 are white 3blue and 5 are red.3 balls are drawn at random from the box. Find the chance that all three balls are of different colour

Answers

Answer:

white: 1/3, blue: 1/4, red: 5/12

Step-by-step explanation:

Take the amount of balls each color has and divide by 12.

White:

4/12 = 1/3

Blue:

3/12 = 1/4

Red:

5/12 (can't simplify)

Answer:

3/44 or 0.068

Step-by-step explanation:

(3/12 × 2/11 × 1/10)+(5/12 × 4/11 × 3/10)+(4/12 × 3/11 × 2/10)

=3/44

13) The diameter of a plant cell is 1.26 m and the length of a bacterium is 5.1 m. Compare their diameters.

Answers

Answer:

The diameter of the bacterium is 4.05 times the diameter of the plant cell

Step-by-step explanation:

Given

The given parameters both represent diameters

Plant Cell; P = 1.26m

Bacterium; B = 5.1m

Required

Compare both diameters;

Write out both expressions

[tex]P = 1.26[/tex]

[tex]B = 5.1[/tex]

Divide B by P

[tex]\frac{B}{P} = \frac{5.1}{1.26}[/tex]

[tex]\frac{B}{P} = 4.04761904762[/tex]

Approximate

[tex]\frac{B}{P} = 4.05[/tex]

Multiply both sides by P

[tex]P * \frac{B}{P} = 4.05 * P[/tex]

[tex]B = 4.05 * P[/tex]

[tex]B = 4.05P[/tex]

This implies that;

The diameter of the bacterium is 4.05 times the diameter of the plant cell

6x + 11 + 3x .........................................

Answers

Answer: I'm assuming you want this problem simplified.

6x + 11 + 3x

Combine like terms: 9x + 11

Your expression now looks like: 9x + 11

There is nothing left to simplify, so you're done!

Hope this helps!

Answer:

9x+11

Step-by-step explanation:

6x + 11 + 3x

Combine like terms

9x+11

The line plot below displays the fraction of incoming calls answered before the second ring by a group of employees. What fraction of employees answered less than of their incoming calls before the second ring?

Answers

Answer:

1/6

Step-by-step explanation:

People who answered less than 1/2 were:  2 +  1 + 3 = 6 people.

There are a total of 36 people.

People who answered their calls before the second ring were only 6/36.

When we simplify the fraction, we get 1/6.

So, the answer is 1/6.

16. Expand (2x - 1)(x - 3).
A. 2x2 - 7X+3 B. 2x2 +7x+3
C. 2x2-7X-3 D. 2x2+7X-3 E. x2+7X-3​

Answers

Answer:

Hey there!

[tex](2x-1)(x-3)[/tex]

[tex]2x^2-1x-6x+3[/tex]

[tex]2x^2-7x+3[/tex]

Hope this helps :)

Answer:

see below

Step-by-step explanation:

the simple answer is a if you need an explanation just comment

How many liters of a 35% salt solution must be mixed with 20 liters of 70% salt solution to obtain a solution that is 45% salt? What is the equation?

Answers

Answer:

.35 x + .70 (20) = .45(x+20)

50=x

Step-by-step explanation:

Let x = liters of 35% salt solution

We have 20 liters of 70%

We have a total of 20+x liters of 45%

.35 x + .70 (20) = .45(x+20)

Distribute

.35x + 14 = .45x +9

Subtract .35x from each side

14 = .10x +9

Subtract 9 from each side

5 = .10x

Divide each side by .1

5/.1 = x

50=x

Help ASAP please show work I need this done ASAP

Answers

Answer:

Step-by-step explanation:

Graph shows the distance traveled by a biker as a function of time.

Velocity of the biker changes in the different intervals.

1). In the interval 0 < t < 2, biker is moving with a constant velocity.

   Velocity = [tex]\frac{\text{Displacement}}{\text{Time}}[/tex]

             = [tex]\frac{0-4}{0-2}[/tex]

             = 2 km per hour

2). In the interval 2 < t < 5,

   Velocity = [tex]\frac{4-4}{4-2}[/tex]

                  = 0

   Therefore, biker stopped between 2 to 5 hours.

3). In the interval 5 < t < 6,

   Velocity = [tex]\frac{\triangle x}{\triangle t}[/tex]

                  = [tex]\frac{4-3}{6-5}[/tex]

                  = 1 km per hour

4). In the interval 6 < t < 7,

   Velocity = [tex]\frac{6-3}{7-6}[/tex]

                 = 3 km per hour

Which of the following are not natural numbers? There may be more than one correct answer. Select all that apply. If only one answer is correct, select "only" and the answer that applies. A.)−1,−2,−3,… B.) 0 C.) 1,2,3,… D.) only E.) fractions

Answers

Answer:

A,E

Step-by-step explanation:

Natural numbers include the normal counting number like 1, 2, 3, and so on and also 0.

B) does not work as negative numbers are not numbers we start counting in

E) does not work as we don't count in fractions

Figure ABCD is a rectangle with point A (−2, 5). What rule would rotate the figure 90° clockwise?

Answers

Answer:

(5,2)

Step-by-step explanation:

The 90° clockwise rule (for around the origin) is: [tex](x,y)\rightarrow(y,-x)[/tex]

Apply the rule to point A:

[tex]\left \{ {(-2,5)\rightarrow(5,2)} \atop {(x,y)\rightarrow(y,-x)}} \right.[/tex]

A' should be (5,2).

Answer:

Step-by-step explanation:

The general rule for rotation of an object 90 degrees is (x, y) to (-y, x)

so for point A(-2,5), A' will be (5,2)

to find the new

X=xcos(θ)+ysin(θ)

X=-2(cos90)+5sin90             ( cos90=0, sin 90=1)

X=5

to find the new

Y=−xsin(θ)+ycos(θ)

Y=-(-2)sin90+5cos90

Y=2

Other Questions
Colorado experiences a record snowfall during the winter season. What impact will this have on the market for snowmobiles? Why did Mr M. Hamel call the French language the most beautiful? A 1.0 L buffer solution is 0.250 M HC2H3O2 and 0.050 M LiC2H3O2. Which of the following actions will destroy the buffer?A. adding 0.050 moles of NaOHB. adding 0.050 moles of LiC2H3O2C. adding 0.050 moles of HC2H3O2D. adding 0.050 moles of HClE. None of the above will destroy the buffer. Your job in a company is to fill quart-size bottles of oil from a full -gallon oil tank. Then you are to pack quarts of oil in a case to ship to a store. How many full cases of oil can you get from a full -gallon tank of oil? 1. What's the concentration of hydronium ions if a water-base solution has a temperature of 25C (Kw = 1.0x10-14), with a concentration ofhydroxide ions of 2.21x10-6 M? A. 3.1x10-6 MB. 4.52 X10-9 MC. 2.8x10-8 MD. 1.6x10-9 M Hawley company makes decorative wedding cakes. The company is considering buying the cakes rather than baking them, which will allow it to concentrate on decorating. The company averages 100 wedding cakes per year and incurs the following costs from baking wedding cakes.Direct materials $550Direct labor 950Variable manufacturing overhead 150Fixed manufacturing overhead 1,125Total manufacturing cost $2,775Number of cakes / 100Cost per cake $28Fixed costs are primarily the depreciation on kitchen equipment such as ovens and mixers. Hawley expects to retain the equipment. Hawley can buy the cakes for 28$.1. Should Hawley make the cakes or buy them? Why?2. If Hawley decides to buy the cakes, what are some qualitative factors that Hawley should also consider?1. Should Hawley make the cakes or buy them? Why? (For the Difference column, use a minus sign or parentheses only when the cost of outsourcing exceeds the cost of making the cakes in-house.) Make Outsource DifferenceCake costs cakes cakes (makeoutsource)Variable costs:Direct materialsDirect laborVariable manufacturing overheadPurchase costTotal differential cost of cakesHawley (should, should not) continue to make the cakes. Outsourcing will (decrease, increase) profits.2. If Hawley decides to buy the cakes, what are some qualitative factors that Hawley should also consider?A. Qualitative factors include considering sunk costs andmanager's opinions.B. Qualitative factors include separating fixed and variable costs.C. Qualitative factors include quality and on-time delivery.D. Qualitative factors include contribution margins of the various products produced. Which recrusive formula can be used to generate the sequence shown, where f(1)=5 and n>=1 5,-1,-7,-13,-19 For this problem, use the tables and charts shown in this section. (Use picture provided)A United States Citizen returning to the States declares the following items at the customs office:3 shirts at $8.50 each2 dresses at $27.50 each1 pair of gold cuff links at $17.50 per pairIf he has not used his duty free exemption yet, how much duty should he pay?0 $0.00$5.00$10.00$300 how many are 8 raised to 2 ??? How many cups are in five gallons? The following information pertains to Cullumber Company. 1. Cash balance per books, August 31, $7,374. 2. Cash balance per bank, August 31, $7,338. 3. Outstanding checks, August 31, $690. 4. August bank service charge not recorded by the depositor $42. 5. Deposits in transit, August 31, $2,810. In addition, $2,126 collected for Cullumber Company in August by the bank through electronic funds transfer. The accounts receivable collection has not been recorded Cullumber Company Prepare a bank reconciliation at August 31, 2022. (List items that increase balance as per bank & books first.) On January 1, 2018, Benbrook Company purchased equipment and signed a six-year mortgage note for $160,000 at 15%. The note will be paid in equal annual installments of $42,278, beginning January 1, 2019. Calculate the balance of Mortgage Payable after the payment of the first installment. (Round your answer to the nearest whole number.) It takes Serina 1.72 hours to drive to school. Her route is 47 km long. What is Serina's average speed on her drive to school? Your Answer : The operating margin measures tells you that for every dollar of sales XXXX dollars makes it to the net income line on the income statement.A. TrueB. False Jerome currently has an account balance of $1,859.55. His initial deposit on the account was $825 and it earned 5.7% simple interest. How long has Jerome held theaccount? a scientist used 2 gallons of liquid for every 7 hours he works. he used__of a gallon each hour he works ast week, the Vargas family drove 30 miles in their car and 15 miles in their truck. The letter m stands for the total number of miles they drove. Which equation can you use to find m? Solve 8 is an object speeding up or slowing down of the V final is greater than the V initial? How can someone's death be the "seed of a nation"?