PLEASE HELP ASAP ITS DUE IN AN HOUR ​

PLEASE HELP ASAP ITS DUE IN AN HOUR

Answers

Answer 1

Answer:

[tex]3^2-5[/tex]

Step-by-step explanation:

    Given equation:

 ( 3 - 2^2) + 5

  3 - 4 + 5   (Simplify exponent)

 -1 + 5  (Solve 3 - 4)

  4 (Simplified)

Evaluation

2^2 + 5

4 + 5

9 (not the answer)

3^2 - 5

9-5

4  (answer)


Related Questions

Find the next 2 terms in the geometric sequence: 4, 12, 36,

Answers

108 and then 324 because it had always been multiplying by 3

I am struggling to correct numbers 1, 3, 4, 5, and 7. I have been working for hours on this.

Answers

Answer:

Step-by-step explanation:

1.  sinL = 3/5

3.  cosL = 4/5

4.  sinN = 4/3

5.  cos32 = x/14

     x = 14(cos32) = 11.9

7.  tan75 = 17/x

    x = 17/tan75 = 4.56 ≈ 4.6

calculate the total distance that the water tanker has covered in March 2022​

Answers

The total distance that the water tanker has covered in March of 2022 is given as follows:

1860 kilometers.

What is the relation between velocity, distance and time?

Velocity is given by the change in the distance divided by the change in the time, hence the following equation is built to model the relationship between these three variables:

v = d/t.

The parameters for this problem are given as follows:

Velocity of 60 kilometers a day.Time of 31 days, as the month of March has 31 days.

Hence the total distance is then obtained as follows:

d = v x t

d = 60 x 31

d = 1860 kilometers.

Missing Information

The complete question is:

"Assuming that the water tanker travels an average of 60 kilometers a day, calculate the total distance that the water tanker has covered in March 2022​".

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Use the trapezoid shown to mark each statement below as true or false. If false, rewrite the statement correctly in the space below the statement.

1. The length of line AB can be found using 3^2 + b^2 = 4^2.

2. The perimeter of the trapezoid shown is 22 units.

Answers

True. The length of AB can be gotten by 3^2 + b^2 = 4^2.

True.  The perimeter of the trapezoid shown is not 22 units.

How to solve for the perimeter

The length of AB can be gotten by 3^2 + b^2 = 4^2.

9 + b^2 = 16

b^2 = 16 + 9

b = 5

Then we have to count the boxes to get the length of the other sides

CD = 4

AD = 8

BC = 5

AB = 5

Then the perimeter would be be 5 + 5 + 8 + 4

= 22

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6x^2 + 60x + c what is c so to make it a perfect square trinomial

Answers

The calclulated value of c to make a perfect square trinomial from 6x^2 + 60x + c is 150

Calculating the value of c to make a perfect square trinomial

To make a quadratic trinomial a perfect square trinomial, we need to add a constant term that is equal to half of the coefficient of the x-term, squared.

In other words, we need to find a value of c such that:

6x^2 + 60x + c = Perfect square trinomial

Divide through by 6

So, we have

x^2 + 10x + c/6 = Perfect square trinomial

Take the coefficient of x

k = 10

Divide by 2

So, we have

k/2 = 5

Square both sides

(k/2)^2 = 25

This means that

c/6 = 25

So, we have

c = 150

Therefore, to make the trinomial 6x^2 + 60x + c a perfect square trinomial, we need to choose c = 150.

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Rachel ran 3 miles when she was training for a race. How many feet did she run?
15,840 feet
5,280 feet
10,560 feet
14,840 feet

Answers

To convert miles to feet, we need to multiply the number of miles by the number of feet in one mile. There are 5,280 feet in one mile. So, to find out how many feet Rachel ran, we can multiply 3 miles by 5,280 feet/mile:

3 miles x 5,280 feet/mile = 15,840 feet

Therefore, Rachel ran 15,840 feet. Answer: 15,840 feet.

Need help with number 10.

Answers

Answer:

Width = 12

Length = 19

Step-by-step explanation:

They multiply to 228 and 19in is 7in larger than 12in.

Rewrite the two equations in the form (x−p)^2=q.

0=x^2-10x+10

x^2+26x+167.5=0

Answers

Answer:

(x - 5)^2 = 15 and (x + 13)^2 = 3

Step-by-step explanation:

Sure, I can help you with that.

Let's start with the first equation:

0 = x^2 - 10x + 10

To rewrite this equation in the form (x - p)^2 = q, we need to complete the square.

First, let's factor out the coefficient of x^2:

0 = 1(x^2 - 10x + 10)

Next, we want to add and subtract a value that will allow us to complete the square inside the parentheses. In this case, we will add and subtract (10/2)^2 = 25:

0 = 1(x^2 - 10x + 25 - 25 + 10)

Now we can rearrange the terms inside the parentheses and simplify:

0 = 1((x - 5)^2 - 15)

Finally, we can rewrite the equation in the desired form by adding 15 to both sides:

15 = (x - 5)^2

So the first equation in the form (x - p)^2 = q is:

(x - 5)^2 = 15

Now let's move on to the second equation:

x^2 + 26x + 167.5 = 0

Again, we need to complete the square to rewrite this equation in the form (x - p)^2 = q.

First, let's factor out the coefficient of x^2:

x^2 + 26x + 167.5 = 1(x^2 + 26x + 167.5)

Next, we want to add and subtract a value that will allow us to complete the square inside the parentheses. In this case, we will add and subtract (26/2)^2 = 169:

x^2 + 26x + 167.5 = 1(x^2 + 26x + 169 - 169 + 167.5)

Now we can rearrange the terms inside the parentheses and simplify:

x^2 + 26x + 167.5 = 1((x + 13)^2 - 1.5)

Finally, we can rewrite the equation in the desired form by adding 1.5 to both sides:

1.5 = (x + 13)^2 - 1.5

So the second equation in the form (x - p)^2 = q is:

(x + 13)^2 = 3

Six pounds of raisins are distributed equally into five bags to make trail mix. How many pounds of raisins are in each bag

Answers

Answer: 1.2 pounds of raisins

Step-by-step explanation:

If six pounds of raisins are distributed equally into five bags, then each bag will have an equal amount of raisins. To find out how many pounds of raisins are in each bag, we can divide the total amount of raisins by the number of bags:

6 pounds ÷ 5 bags = 1.2 pounds per bag

Therefore, each bag will have 1.2 pounds of raisins.

Abe laid three shortest worms together end to end what is the total length of these three worms

Answers

Based on the information provided, the total length of the worms would be 6 1/2 inches.

How to calculate the length of the worms?

The graph presented shows the length of the worms Abe measured, based on the graph we know that the shortest worm was 2.125 inches, while the longest worm was 2.875 inches. Using this information, let's now add the three shortest worms together:

2.125  inches + 2.125  inches + 2.25 inches = 6.5 inches in total, which can be expressed ad 6 1/2.

Based on this, the total length of the three shortest worms would be 6 1/2.

Note: This question is incomplete; here is the complete question:

Abe measured the lengths of several worms. He made this line plot to display his measurements. Abe laid the three shortest worms together end to end. What is the total length of these three worms?

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1. Give the rule for translating a point 4 units left and 8 units up. (2 points)

2. After the translation, where is A located? (2 points)

2. After the translation, where is A located? (2 points) Now reflect the figure over the y-axis. Answer the questions to find the coordinates of A after the reflection. 3. Give the rule for reflecting a point over the y-axis. (2 points)

4. What are the coordinates of A after the reflection? (2 points)

5. Is the final figure congruent to the original figure? How do you know? (2 points)

Answers

The image of the original figure after the translation and reflection is congruent to the original figure.

Translation over a point is what?

A particular type of transformation on the coordinate plane called translation keeps the size of the point or geometrical shape constant while only changing the position. Along the x-axis and y-axis in the coordinate system, the point or the figure can be moved in any direction, including up, down, right, left, and multiple directions.

1. By taking away 4 from the x-coordinate and adding 8 to the y-coordinate, we can translate a point 4 units left and 8 units up.

2. Point A after translation is situated at (-2, 9).

3. We negate the x-coordinate and leave the y-coordinate unaltered to indicate a point over the y-axis.

4. Point B is obtained by reflecting point A over the y-axis (2, 9).

5. Indeed, the resulting representation is consistent with the original figure since the rigid transformations of translation and reflection maintain angles and distances. As a result, the original figure's picture after translation and reflection corresponds to the original figure.

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To solve using square roots, your quadratic must be in which format?

Answers

Answer:

0=-ax^2+bx+c

Step-by-step explanation:

A tank in the shape of a hemisphere has a radius of 8 feet. If the liquid that fills the tank has a density of 98.9 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?

Answers

Answer:

848,775 pounds

Step-by-step explanation:

The volume of a hemisphere with radius 8 feet is:

V = (2/3)πr^3 = (2/3)π(8^3) = 268.08 cubic feet

The weight of the liquid is given by:

W = V * ρ * g

where ρ is the density of the liquid and g is the acceleration due to gravity. Plugging in the values, we get:

W = 268.08 * 98.9 * 32.2 = 848,774.7 pounds

Rounding to the nearest full pound, the total weight of the liquid in the tank is 848,775 pounds.

Which of the following is equivalent to 0=2x^(2)-16x-18 when completing the square?

Answers

Answer:

X=-1 or 9

Step-by-step explanation:

using the quadratic formula:

[tex]X=\frac{-b+-\sqrt{b^{2} -4ac} }{2a}[/tex]

X=-1

X=9

Suppose Winston's annual salary as an accountant is $60,000 and his financial assets generate $4,000 per year in interest. One day, after deciding to be his own boss, he quits his job and uses his financial assets to establish a consulting business, which he runs out of his home. He outlays $8,000 in cash to cover all the costs involved with running the business and earns revenues of $150,000. What is Winston's economic profit?


$138,000


$150,000


$142,000


$78,000

Answers

Winston's economic profit based on the forgone salary of $60,000, and the revenue of $150,000 is $78,000. The correct option is therefore;

$78,000

What is an economic profit?

An economic profit is a profit that accounts for both the explicit and implicit costs of a business. The economic profit is obtained from the difference between the total revenue and the costs including the opportunity costs.

The annual salary of Winston as an accountant = $60,000

The amount Winston's financial asset generates = $4,000 per year

The cost of running the business = $8,000

The amount Winston earns as revenue = $150,000

Therefore;

Winston's opportunity cost which is the forgone alternative, is the amount he earns as an accountant = $60,000

The interest of $4,000, earned from the financial asset = The cost of using the financial asset for the business

The cost of running the business = $8,000

The total cost = Opportunity cost + Cost of making use of the financial asset + The business running cost

The total cost = $60,000 + $4,000 + $8,000 = $72,000

The economic profit = The total revenue - The total cost

Therefore;

Winston's economic profit = $150,000 - $72,000 = $78,000

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The customer service department of a company found that the relationship between the number of minutes a customer spends on hold when telephoning and the customer's level of satisfaction on a 10-point scale can be approximated by the equation y=10−0.1x
, where x
is the number of minutes on hold and y
is the level of satisfaction. What does 0.1 represent in the equation?

Answers

In the equation y = 10 - 0.1x, the coefficient 0.1 represents the slope of the line.

Define slope

it represents the rate of change of y with respect to x, which is the amount by which y changes for every unit increase in x.

In this case, the slope is negative (-0.1), which means that as the number of minutes on hold (x) increases by 1 unit, the level of satisfaction (y) decreases by 0.1 units.

In other words, the longer a customer spends on hold, the lower their level of satisfaction is likely to be. The slope is a key parameter in the equation and provides valuable information about the relationship between the two variables.

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Can someone please help me!!!

Answers

The graph of f(x) is a parabola that opens downward and has a vertex at (-3/2, 3/4), while the graph of g(x) is a parabola that opens upwards and has a vertex at (-1/2, 7/4). They both intersect at the point (-3/2, -5/4).

What is vertex?

Vertex is a mathematical term used to describe the point where two lines or line segments meet. It is the point of intersection for two or more lines. In a two-dimensional plane, a vertex is the point that marks the beginning and end of a line segment. In a three-dimensional plane, a vertex is the point of intersection of three or more lines. A vertex can also refer to a corner, such as the vertex of a triangle or a cube. In graph theory, a vertex is a node, or point, in a graph. Vertex can also refer to the highest point of a graph, such as the vertex of a parabola.

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Using the digits 1 to 9, without repeating, fill in the blanks to create a system of equations that intersect at x=1

Answers

The exponential function system that intersects as x = 1, is  [tex]y = 3(1)^x[/tex] and [tex]y = \frac{6}{8} \times (4)^x[/tex].

What is an exponential function?

The formula for an exponential function is [tex]f(x) = a^x[/tex], where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

The d Here are two different exponential functions of the required form that intersect at x = 1 -

[tex]y = 3(1)^x[/tex]

[tex]y = \frac{6}{8} \times (4)^x[/tex]

In the first equation, a = 3, and b = 2.

Plugging in x = 1, we get -

[tex]y = 3(1)^1[/tex]

y = 3 × 1

y = 3

So the point of intersection of this equation with the x-axis is (1, 3).

In the second equation, a = 6/8 , and b = 4.

Plugging in x = 1, we get -

[tex]y = \frac{6}{8} \times (4)^1[/tex]

y = 3/4 × 4

y = 3

So the point of intersection of this equation with the x-axis is also (1, 3).

So, both of these equations intersect at x = 1 and are of the form [tex]y = a \times b^x[/tex].

Therefore, the equations are [tex]y = 3(1)^x[/tex] and [tex]y = \frac{6}{8} \times (4)^x[/tex].

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Complete reference question:

What is the quotient of 13 and 0.4

A. 5.2
B. 52
C. 3.25
D. 32.5
Show work please.

Answers

Answer:

The quotient of 13 and 0.4 can be found by dividing 13 by 0.4.

13 ÷ 0.4 = (13/1) ÷ (2/5) = (13/1) × (5/2) = 65/2 = 32.5

So the answer is D. 32.5.

Step-by-step explanation:

Final answer:

The quotient of 13 and 0.4 is 32.5. The method involves directly dividing 13 by 0.4, either manually or using a calculator.

Explanation:

The student is asking for the quotient of 13 and 0.4. Quotient means the result of a division operation. In this case, we divide 13 by 0.4. Here's how:

Firstly, we divide 13 by 0.4 directly using a calculator or manually.The result is 32.5.

So, the quotient of 13 and 0.4 is 32.5. Therefore, the answer is (D) 32.5.

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Calculate the length between the points (2, 3)
and (5. 7)
A. 3
B. 4
C. 5
D. 6

Answers

Your answer is 4

If you count going up, down, or at an angle between each point you’ll get a distance of 4.

Find the midpoint of AB if A located at (1, 4) and B is located at (3, -6).​

Answers

Answer:

The midpoint of a line segment AB with endpoints A(x1, y1) and B(x2, y2) is given by the coordinates:

[(x1 + x2) / 2, (y1 + y2) / 2]

In this case, A is located at (1, 4) and B is located at (3, -6). So the midpoint M of AB is:

[(1 + 3) / 2, (4 + (-6)) / 2]

= [2, -1]

Therefore, the midpoint of AB is at the point (2, -1).

The coordinates of the midpoint of the line AB is [2, -1]

What is section formula?

Section formula is used to find the ratio in which a line segment is divided by a point internally or externally.

It is used to find out the centroid, incenter and excenters of a triangle. In physics, it is used to find the center of mass of systems, equilibrium points, etc.

Given that, we need to find the midpoint of AB if A located at (1, 4) and B is located at (3, -6).​

The midpoint of a line segment AB with endpoints A(x1, y1) and B(x2, y2) is given by the coordinates:

[(x1 + x2) / 2, (y1 + y2) / 2]

In this case, A is located at (1, 4) and B is located at (3, -6).

So the midpoint M of AB is:

= [(1 + 3) / 2, (4 + (-6)) / 2]

= [2, -1]

Hence, the midpoint of AB is at the point (2, -1).

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Create a list of 3 numbers in which the mean is 15

Answers

12,16,17 This is a possible answer

help so i cna get out of class

Answers

Based on the given conditions, the lock solution is 205.

How to solve a lock?

To solve the lock, to calculate the total score based on the given conditions:

Crocus: + 20

Daffodil: + 25

Snowflake: - 50

Tulip: + 30

Bird-Red: + 25, else + 10

Calculating the scores for each input:

TULIP: +30

CROCUS: +20

DAFFODIL: +25

TULIP: +30

DAFFODIL: +25

TULIP: +30

DAFFODIL: +25

CROCUS: +20

Total score = 30 + 20 + 25 + 30 + 25 + 30 + 25 + 20 = 205

Therefore, the solution for the lock is 205.

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Image transcribed:

SPRING NOW LOADING.

<IF CROCUS, THEN +20>

<IF DAFFODIL, THEN +25>

<IF SNOWFLAKE, THEN -50>

<IF TULIP, THEN +30>

<IF BIRD-RED, THEN +25, ELSE + 10>

TULIP

CROCUS

DAFFODIL

TULIP

DAFFODIL

TULIP

DAFFODIL

CROCUS

Solve Lock

58 points please urgent super urgent
4x=16
what is x

Answers

Answer:4? Think

Step-by-step explanation:

Fred hires Trident Electrik Company to install a new light fixture. The electric company will charge an initial fee for the service call. In addition, the total cost of the job includes an installation fee that will depend on how long the job takes. This situation can be modeled as a linear relationship. 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 $25 $50 $75 $100 $125 $150 $175 $200 $225 $250 x y Time (hours) Total cost What does the y-intercept of the line tell you about the situation?

Answers

Answer:

Step-by-step explanation:

your mom

2 1/4-6/7=
2 5/12-blank=2/3
7 1/12-5 3/8=
blank+7/10=2 9/20

Answers

To subtract 6/7 from 2 1/4, we need to find a common denominator. The least common multiple of 7 and 4 is 28, so we can convert 2 1/4 to 9/4 and 6/7 to 24/28. Then we can subtract:

9/4 - 24/28

= 63/28 - 24/28

= 39/28

Therefore, 2 1/4 - 6/7 = 39/28.

To solve for the blank in 2 5/12 - blank = 2/3, we can start by converting 2 5/12 to an improper fraction:

2 5/12 = (2*12 + 5)/12 = 29/12

Then we can subtract 2/3 from both sides:

2 5/12 - 2/3 = blank

To subtract these fractions, we need to find a common denominator. The least common multiple of 3 and 12 is 12, so we can convert 2/3 to 8/12. Then we can subtract:

29/12 - 8/12

= 21/12

= 7/4

Therefore, the blank in 2 5/12 - blank = 2/3 is 7/4.

To subtract 5 3/8 from 7 1/12, we need to find a common denominator. The least common multiple of 8 and 12 is 24, so we can convert both mixed numbers to improper fractions:

7 1/12 = (712 + 1)/12 = 85/12

5 3/8 = (58 + 3)/8 = 43/8

Then we can subtract:

85/12 - 43/8

= 85/12 - (433)/(83)

= 85/12 - 129/24

= 5/24

Therefore, 7 1/12 - 5 3/8 = 5/24.

To solve for the blank in blank + 7/10 = 2 9/20, we can start by converting 2 9/20 to an improper fraction:

2 9/20 = (2*20 + 9)/20 = 49/20

Then we can subtract 7/10 from both sides:

blank + 7/10 - 7/10 = 49/20 - 7/10

Simplifying the right side:

49/20 - 7/10 = (492)/(202) - (74)/(104) = 98/40 - 28/40 = 70/40 = 7/4

Therefore, blank + 7/10 - 7/10 = 7/4, and solving for blank:

blank = 7/4

Therefore, the blank in blank + 7/10 = 2 9/20 is 7/4.

Pls help meee!!!
Anybody pls!!

Answers

Answer:

85 degrees.

Step-by-step explanation:

These are parallelograms, meaning the opposite sides are parallel. Since they are parallel, that the line EA becomes a transversal and a bisector for the angle CEK. That means the angle 8 and 3 are equivalent and 7 and 4 are equivalent. This is due to Same Side Interior Angles. These are two halves of the big angle. If the halves are equal, so are the angles. Therefore, CEK = CAK.

what is the solution to this

Answers

Answer:

-2

Step-by-step explanation:

which of the following values are needed to determine the area of the trapezoid? choose all that apply
A. 5 mm
B. 6 mm
C. 8 mm
D. 10 mm

Answers

D
C
A
Have a great day

Please helpppp it’s urgent!!! Assume you have a balance of $3000 on a credit card with an APR of 24 %, or 2 % per month. You start making monthly payments of $200, but at the same time you charge an additional $100 per month to the credit card. Assume that interest for a given month is based on the balance for the previous month. How long does it take to pay off the credit card debt? Round your numbers to the nearest cent?

Answers

It will take around 3.72 months to pay off the credit card debt.

Explain about the annual percentage rate APR?The annual rate of interest that a person must pay on a loan or receives on a bank account is known as the annual percentage rate (APR).APR is utilized for everything, including credit cards, auto loans, and mortgages.

The formula for APR is:

A = P * [tex](1 + r/n)^{nt}[/tex]

In which,

A = amount after compounding.

P = balance amount

r = rate of interest.

n = number of time compounded.

Initial balance: $30,000.

Payments per month = $200.

Expenses = $100

Balance amount = 30,000 - 12 *(200 - 100)

Balance amount = $28800

So, time taken for paying off credit card debt.

30,000 = 28800  [tex](1 + 0.24/1)^{1*t}[/tex]

[tex](1.24)^{t}[/tex] = 30,000 / 28800

[tex](1.24)^{t}[/tex] = 1.04

Solve by using logarithmic function.

t = ln (1.04) / 1.24

t = 0.31  year

t = 3.72 months

Thus, it will take around 3.72 months to pay off the credit card debt.

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assume your uncle recorded his salary history during a 40-year career and found that it had increased 10-fold. if inflation averaged 4% annually during that period, then over his career, his purchasing power: group of answer choices remained on par with inflation decreased increased about 2% annually increased about 3% annually increased about 1% annually the value of -risk securities will be relatively . a. high; high b. high; low c. low; low d. none of these choices are correct. Whats the correct answer answer asap for brainlist in a steady flow process, the change of total energy of the control volume must . multiple choice question. increase decrease remain zero [1]Switch off computers and TV when you ............. using them.1-finished2-had finished3-have finished4-will finish[2]Could you please return in 10 minutes?Your room will.....by then.1-have been cleaned2-be cleaned3-be cleaning4-have cleaned[3]By the time I get home, my wife ..supper.1-prepares2-is going to prepare3-will have prepared4-will prepare[4] She will have married in three ............ time.1-Months2-Months3-Monthss4-Months Who was credited as the first great bass player in rock 'n' roll? Junior Lowe David Hood Donald Dunn James Jamerson Benny Benjamin Steve Cropper money that covers the basic living expenses of sales professionals is better known as an advance. question 6 options: true false 1. a new nurse in the delivery room for newborn care asks the senior nurse about the purpose of apgar scoring. how should the senior nurse reply? Create a Java program to encrypt a word using the Cesar cipher, one of the oldest ciphers known. To encrypt a word you substitute each letter by the letter which is 3 spaces down the alphabet. For example, a -> d, b ->e, So the word CESAR would be encrypted as FHVDU. Which of the following best explains why doubling the temperature of a gas in a closed container caused the pressure to be doubled? the weberian model of bureaucracy characterizes it as having group of answer choices a hierarchical organization disdain for public opinion expanded budgets a disregard for the manner in which decision making occurs in competitive markets, supply and demand cause consumers to divide up products in a way that ensures that each product goes to the person: A customer bought the following items from Hermans Market.1 1/3 pounds of American cheese at $6.99/pound2 1/4 pounds of turkey at $5.99/pound2/3 pound of cheddar cheese at $3.99/poundHow much did the customer pay for all the items?A: $16.97B: $22.96C: $25.46D: $26.96 starting with the arrival of an action potential at the axon terminal of a motor neuron, which is the correct order of events? group of answer choices Answer this for me!! jack is going to offer to sell his house to bill. jack prepares a written offer but mistakenly transposes the numbers. he accidentally offers to sell his real property for $189,000 instead of $198,000, which he really intended. he sends the written offer to bill who send a written acceptance. bill's acceptance is: group of answer choices who is responsible for collecting, maintaining, and distributing company knowledge? (please use the acronym) Kay is researching the health benefits of avocados.She finds an article on the website tracyshealthproducts.com.Which of the following can assure Kay that the content is credible?A) The site sells products made from avocados.B) The article's author has been a nutritionist for the last three years.C) The firm that runs the site is located four blocks from her home.D) The author has over 8,000 connections on LinkedIn. snap uses a series of objects to collect information about a managed device. the structure, similar to a database, containing these objects is refderred to as what? in august of 2006, the iau (international astronomical union) published an official definition what it means to be a planet. what criteria is needed for that classification? why is pluto no longer considered a full fledged planet?