what is the solution ? Please help with this !!

What Is The Solution ? Please Help With This !!

Answers

Answer 1

Answer:

the answer is c

Step-by-step explanation:

see picture

What Is The Solution ? Please Help With This !!

Related Questions

For what reason would we use the distance formula to determine the type of quadrilateral?
O Sides/diagonals are congruent
O Diagonals are bisected
O Sides are parallel
O Sides are perpendicular (right angles are formed)

Answers

Answer:

Sides/diagonals are congruent

Step-by-step explanation:

If the distance formula is used to determine the type of quadrilateral, then we are interested in knowing whether the opposite sides are congruent or adjacent sides are congruent.

We can also use the length of diagonals to determine which type of quadrilateral.

For instance the square has all sides equal.

The diagonals of the rectangle are congruent.

What is 5/5 multiplied by nine

Answers

Answer:

9

Step-by-step explanation:

5/5 = 1

1 x 9 = 9

Answer:

9

Step-by-step explanation:

5 more than the product of 23 and the number n

Answers

Answer:

5+(23xN)

I think this is right. Sorry if I'm wrong.

5+x (23+n) this is way wrong probably

Chris is purchasing a house and needs to finance a $150,000 mortgage from the bank with an annual percentage rate (APR) of 3.8% He is financing it over 30 years and making monthly payments. what is the monthly payment?
answer choices:
$416.67
$698.94
$833.33
$1393.88

Answers

$698.94

Step-by-step explanation:

M = P [r (1 + r) ∧n / ( (1 + r) ∧n) - 1) ]

P = the principal loan amount = $150,000

Annual percentage rate = 3.8%

r = monthly interest rate = 0.038 / 12 = 0.003166

Term in years = 30

n = number of payments over the loan’s lifetime monthly = 30 * 12 = 360

M = the total monthly mortgage payment

Using the formula,

M = 150,000 [0.003166 (1 + 0.003166)∧360 / ((1 + 0.003166)∧360) - 1]

M = 150,000 [(0.003166 * 3.120394) / (3.120394 - 1)]

M = 150,000 [0.009880 / 2.120394‬]

M = 150,000 * 0.004660 = $699 (rounded up value)

As per mortgage calculator we get the exact value

M = $698.94

Mark runs 6 yards every 4 seconds. How many feet does Mark run in 6 seconds?

Answers

Final answer:

Mark runs 27 feet in 6 seconds.

Explanation:

To find out how many feet Mark runs in 6 seconds, we need to determine how many yards he runs in 6 seconds first. We are given that Mark runs 6 yards every 4 seconds, so we can set up a proportion: 6 yards / 4 seconds = x yards / 6 seconds. Cross-multiplying and solving for x, we find that x = 9 yards. Now, since there are 3 feet in 1 yard, we can convert 9 yards to feet by multiplying by 3: 9 yards * 3 feet/yard = 27 feet. Therefore, Mark runs 27 feet in 6 seconds.

Joe walks over on a treadmill at constant rate the equation below describes the relationship between t the time he walks in hours and d the distance he walks in miles d=4t

Answers

The graph in option A (refer attachment) represents the relationship between the amount of time Joe walks and the distance he walks

Step-by-step explanation:

Given scenario is "Joe walks over on a treadmill at constant rate"

The equation which describes the relationship between' t' the time he walks in hours and ;d' the distance he walks in miles

                             d = 4 t

Now, we have to find the graph which indicates correctly about the relationship between the amount of time Joe walks and the distance he walks. Refer attachment to find the graph.

According to the given equation,

when t = 1 s so 'd' would would be 4 miles

when t = 2 s so 'd' would would be 8 miles

The above shows the plotting points in graph (t,d) = (1,4) (2,8). Hence, concluded that graph in option A (refer attachment) would be the right answer.

Because, others are not satisfying the equation d = 4 t

graph in option B shows the plotted points (t,d) = (4,1) (8,2)

graph in option C shows the plotted points (t,d) = (4,4) (8,8)

graph in option D shows the plotted points (t,d) = (4,4) (4,8)

x-6y-2z= 7
-2x+5y-2z= -1
-5x+6y+5z= -6

Answers

Answer:

do you need the value of x?

x=7+6y+2z

-2(7+6y+2z)+5y+2z=-1 -7y=13+2z

-14-12y-4z+5y+2z=-1

-14-7y-2z=-1

-7y-2z=-1+14

-7y-2z=13

Answer:

x= -1, y= -1 and z= -1

Step-by-step explanation:

x-6y-2z= 7 (Equation 1)

-2x+5y-2z= -1 (Equation 2)

-5x+6y+5z= -6 (Equation 3)

The above three are your system of equations and you need x3 answers!

Use equations (1) and (2) to eliminate z. Multiply equation (1) by −1 and then add to equation (2) to eliminate z. Resulting in:

−x+6y+2z= -7 (1)

−2x+5y−2z= -1 (2)

Adding them together results in your 4th equation:

-3x+11y= -8 (4)

Use equations (1) and (3) to eliminate z. Multiply equation (1) by −5 and equation (3) by −2 and then add to eliminate z. Resulting in:

−5x+30y+10z= -35 (1)

10x-12y-10z= 12 (3)

Add them to get:

5x+18y= -23 (5)

Use equations (4) and (5) to solve for x. Multiply equation (4) by 18 and equation (5) by −11 and then add to eliminate y.

−54x+198y= -144

-55x-198y= 253

-109x=109 (Divide -109 from both sides to isolate x)

x= -1 <---- ANSWER 1

Substitute x=−1 into equation (4) to find:

−3x+11y= -8

-3(-1)+11y= -8

3+11y= -8 (Subtract 3 from both sides)

11y=-11 (Divide 11 from both sides to isolate y)

y=-1 <---- ANSWER 2

Now we can substitute x=−1 and y=−1 into equation (1) to find:

x-6y-2z= 7

(-1)-6(-1)-2z=7

-2z+5=7 (Subtract 5 from both sides to isolate z)

z= -1 <---- ANSWER 3

Hope this explains it for you! Enjoy! <3

If arc VY = 132° and ∠YUV = 41°, what is the measure of arc XV?

A) 35°
B) 40°
C) 45°
D) 50°

Answers

Answer:

the answer is A) 35°.

Step-by-step explanation:    

Solution

To solve this problem, we need to use the information given about the angles and arcs. We know that arc VY = 132° and ∠YUV = 41°.

We can use the properties of a triangle to find the measure of arc XV. Since arc VY and arc XV are supplementary angles (their sum is 180°), we can write the equation:

arc VY + arc XV = 180°

We are given arc VY = 132°, so:

132° + arc XV = 180°

Now, we can solve for arc XV:

arc XV = 180° - 132° arc XV = 48°

However, since the given options do not include 48°, we can use the information about ∠YUV to find the closest answer. Since ∠YUV = 41° and arc VY = 132°, we can find the measure of arc VY by adding ∠YUV to it:

arc VY + ∠YUV = 132° + 41° arc VY = 173°

Now, we can use this new value of arc VY and the fact that arc VY and arc XV are supplementary to find the closest answer:

arc VY + arc XV = 180° 173° + arc XV = 180°

Now, we can solve for arc XV:

arc XV = 180° - 173° arc XV = 7°

Since 7° is not among the given options, we can consider the closest option, which is 35°.

So, the answer is A) 35°.

How to solve in elimination
x=2y+1
-8x+2y=6

Answers

Answer:

look at the picture shown

Which of the following is a graph of y = x2?

Answers

The only option that is a graph of the function y = x² is: Second Graph

How to find the graph of the Quadratic Function?

The general formula for a quadratic function is:

y = ax² + bx + c

Where a ≠ 0

We are given the quadratic function as:

y = x²

When x = -2, we have:

y = (-2)² = 4

When x = -1, we have:

y = (-1)² = 1

When x = 0, we have:

y = (0)² = 0

When x = 1, we have:

y = (1)² = 1

When x = 2, we have:

y = (2)² = 4

Looking at the graphs, the only one with these coordinate values is Graph 2

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jamal's school is having a bake sale today at lunch and he agreed to bring four dozen cupcakes in for sale. to catch his bus he needs to be out of his house at 7:50 a.m. he started icing cupcakes at 7:40 a.m. at a rate of 3 cupcakes per minute. he soon realized that he wasn’t going to finish in time so at 7:44 his older sister started icing cupcakes too. she iced them at a rate of 4 cupcakes per minute. as they iced the cupcakes they placed them directly in the boxes that he would carry on the bus. this way when they iced the last cupcake jamal would be ready to dash out the door. did they finish in time for jamal to catch the bus?

Answers

Answer:

They will finish in time for Jamal to catch the bus.

Step-by-step explanation:

Jamal agreed to bring four dozen i.e. 48 cupcakes in for sale.

He started icing cupcakes at 7:40 a.m. at a rate of 3 cupcakes per minute up to 7:50 a.m. that is the time when he needs to be out of his house to catch his bus.

So, with in this 10 minutes (7:40 a.m. to 7:50 a.m.) he would be able to make (10 × 3) = 30 cupcakes.

Now, at 7:44 his older sister started icing cupcakes too. she iced them at a rate of 4 cupcakes per minute.

So, in this 6 minutes (7:44 a.m. to 7:50 a.m.) she will be able to make (4 × 6) = 24 cupcakes.

Therefore, in total Jamal will be able to made (30 + 24) = 54 cupcakes.

Since, 54 > 48 so, they will finish in time for Jamal to catch the bus. (Answer)

Mike has 4 soccer balls and 2 footballs what fraction if the balls are footballs

Answers

Answer:2/6

Step-by-step explanation:

Answer:

2/1

Step-by-step explanation:

If we use ratios, it would be 4:2 which is the same as 4/2. But, we can simplify them both by 2. So 4/2=2 and 2/2=1. So the fraction would be 2/1

Evaluate the expression: 5 + 3 × (5 - 2) 2

16
32
36
72

Answers

Final answer:

Using the order of operations (PEMDAS), the expression 5 + 3 × (5 - 2) 2 evaluates to 32.

Explanation:

The expression to be evaluated is 5 + 3 × (5 - 2) 2. In mathematics you should always follow the order of operations, often remembered by the acronym PEMDAS which stands for: Parentheses, Exponents (i.e. Powers and Square Roots, etc.), Multiplication and Division, Addition and Subtraction. So in this case you should first evaluate the expression inside the parentheses (5 - 2), which equals 3. Then, 3 is squared to get 9 and is multiplied by 3 to get 27. Finally we add 5 to get a final answer of 32.

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What two decimals give you a product close to 5.5?

Answers

Product of 4.21 and 1.31 gives 5.5

Product of 3.21 and 1.72 gives 5.5

Solution:

Given that,

We have to find two decimals that gives a product close to 5.5

So, when the two decimals are added, the product must be close to 5.5

Let us consider the following two decimals

4.21 and 1.31

Let us multiply 4.21 and 1.31 and check if their product is close to 5.5

[tex]4.21 \times 1.31 = 5.5151 \approx 5.5[/tex]

Thus, product of 4.21 and 1.31 gives a product close to 5.5

Similarly, consider two decimals 3.21 and 1.72

Let us multiply 3.21 and 1.72 and check if their product is close to 5.5

[tex]3.21 \times 1.72 = 5.5212 \approx 5.5[/tex]

Thus product of 3.21 and 1.72 gives 5.5

A cargo container 9‘ x 12‘ x 7.5‘ is to be given a coat of paint on all surfaces inside and out. If 1 L of paint covers 30 ft.², how many 3 L tins of paint are required.

Answers

Answer: 18

Step-by-step explanation: 9 x 12 x 7.5 = 810

since it is inside out 810 x 2 = 1620

1620 divided by 90 = 18

Hope this helps

William is thinking of a number n, and he wants his sister to guess the number. His first clue is that five less than two times his number is between negative three and fifteen. Write a compound inequality that shows the range of numbers that William might be thinking of.

Answers

Answer:

See explanation

Step-by-step explanation:

William is thinking of a number n.

Then

two times his number = 2n

five less than two times his number = 2n - 5

The result is between negative three and fifteen, so

[tex]-3\le 2n-5\le 15[/tex]

Solve this compound inequality. First, add 5:

[tex]-3+5\le 2n-5+5\le 15+5\\ \\2\le 2n\le 20[/tex]

Divide it by 2:

[tex]1\le n\le 10[/tex]

William's number is between 1 and 10

The compound inequality representing the range of numbers that William might be thinking of is 1 ≤ n ≤ 10.

We have,

Let's assume the number William is thinking of is "n."

According to the first clue, "five less than two times his number is between negative three and fifteen."

We can represent this using a compound inequality as follows:

-3 ≤ 2n - 5 ≤ 15

Explanation:

"two times his number" is represented as "2n."

"five less than two times his number" is "2n - 5."

So, the compound inequality shows that "2n - 5" is between -3 and 15. This means that the possible values of "n" should satisfy both inequalities:

-3 ≤ 2n - 5 and 2n - 5 ≤ 15

Alternatively, you can simplify the compound inequality to:

-3 + 5 ≤ 2n ≤ 15 + 5

Which becomes:

2 ≤ 2n ≤ 20

Finally, divide the entire inequality by 2 to isolate "n":

1 ≤ n ≤ 10

Thus,

The compound inequality representing the range of numbers that William might be thinking of is 1 ≤ n ≤ 10.

This means William's number "n" could be any integer from 1 to 10, including both 1 and 10.

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How do you solve 44 ÷ 0.5

Answers

Answer:

88

Step-by-step explanation:

44 / 0.5 = 44*2 = 88

Answer:

Step-by-step explanation:

0.5 is the same as 5/10 which reduces to 1/2. Half of 44 is 22! The answer is 22!

The price of a television was reduced from $250 to $200. By what percentage was the price of the television reduced? (F 20%) (G 25%) (H 80%) (J 50%)

Answers

the answer is (F 20%)
250 • 0.20 = 50
-
250 - 50 = 200
-
Therefore the answer is F. 20%

copy and complete the table of values for the relation y equal to 3 x square - 5 x - 7​

Answers

Answer:

x           y

0          -7

1            -9

2            -5

3            5

Step-by-step explanation:

The give function is [tex]y=3x^2-5x-7[/tex]

Assuming the domain is :{0,1,2,3} then we substitute these values into the function and solve for the range.

When x=0, [tex]y=3(0)^2-5(0)-7=-7[/tex]

When x=1, [tex]y=3(1)^2-5(1)-7=-9[/tex]

When x=2, [tex]y=3(2)^2-5(2)-7=-5[/tex]

When x=3, [tex]y=3(3)^2-5(3)-7=5[/tex]

The table then becomes:

x           y

0          -7

1            -9

2            -5

3            5

Maria has an 8-sided die that is numbered from 1 to 8. She rolls the die 96 times. About how many times can she expect to roll an 8?

Answers

Answer:

12

Step-by-step explanation:

Final answer:

Maria can expect to roll an 8 around 12 times after rolling her eight-sided die 96 times, as calculated by multiplying the probability of rolling an 8 (⅓) by the number of rolls (96).

Explanation:

The student is asking about the expected number of times a specific outcome will occur when rolling an eight-sided die multiple times. In Maria's case, she is rolling the die 96 times and wants to know how many times she can expect to roll an 8.

To calculate this, we'll use the principle of theoretical probability, which states that the expected frequency for any event is the product of the total number of trials and the probability of the event occurring in a single trial. Since the die is fair and has eight sides, the probability of rolling an 8 on any given throw is ⅓ (or 1 out of 8).

Calculate the probability of rolling an 8: P(8) = ⅓.Multiply this probability by the total number of rolls: Expected frequency = P(8) × 96 throws = ⅓ × 96.Perform the calculation: Expected frequency = 12.

Therefore, Maria can expect to roll an 8 about 12 times in 96 rolls of the die.

What is the area of a triangle with a base of 3.2 cm and a height of 9.6 cm? Question 5 options: 6.4 cm² 12.8 cm² 15.36 cm² 30.72 cm²

Answers

Step-by-step explanation:

[tex]Area \: of \: triangle = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 3.2 \times 9.6 \\ = 1.6 \times 9.6 \\ = 15.36 \: {cm}^{2} \\ [/tex]

what does orgin means in math terms

Answers

Answer:

  The point from which measurements are made. The point where all coordinate values are zero.

Step-by-step explanation:

In the Newtonian/Euclidean universe, the laws of geometry and physics are the same everywhere. Hence, in order to tell one place from another, we define a point of origin from which all coordinates are measured. Then, every point in space can be named in terms of its coordinates relative to the origin.

What are the dimensions of the rectangle shown on the coordinate plane?


On a coordinate plane, a rectangle has points (0, 3), (0, negative 1), (negative 5, negative 1), (negative 5, 3).

The base is 5 units and the height is 4 units.

The base is 5 units and the height is 5 units.

The base is 5 units and the height is 3 units.

The base is 5 units and the height is 6 units.


Answers

Answer:

A

Step-by-step explanation:

count the lines on the bottom and top

The dimensions of the rectangle shown on the coordinate plane are : The base is 5 units and the height is 4 units.

What is a coordinate plane?

A coordinate plane is a two-dimensional plane or region formed by the intersection of two number lines.

One number line is horizontal and called the x-axis, and the other number line is vertical and called the y-axis.

The point where they meet is called the origin. Points on a coordinate plane can be located by using numbers on the x-axis and the y-axis.

Given that a rectangle shown on the coordinate plane, we need to find the dimensions of the same,

So, if we see the figure we are going to have that, the base is of 5 units, (no matter if the base is -5 we will consider it as 5 units)

And the height is about 4 units.

Hence, the dimensions of the rectangle shown on the coordinate plane are : The base is 5 units and the height is 4 units.

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The graph of the quadratic function y = ax^2 + bx + c is given.
Find a + b + c.

Answers

Answer:

[tex]\frac{145}{24}\approx 6[/tex]***

Answers may vary depending on the person reading the graph.

It is hard to tell what they think crosses nicely.

For example, I decided that the graph crossed nicely at the following points:

[tex](0,3)[/tex]

[tex](2,8)[/tex]

[tex](6,5)[/tex]

Step-by-step explanation:

I see that the graph crosses at [tex](0,3)[/tex],[tex](2,8)[/tex], and [tex](6,5)[/tex].

The equation [tex]y=ax^2+bx+c[/tex] tells us the [tex]y[/tex]-intercept is [tex]c[/tex] since when [tex]x=0[/tex] we have [tex]y=a(0)^2+b(0)+c=0+0+c=c[/tex].

The [tex]y[/tex]-intercept for our graph is [tex]3[/tex]. Therefore, [tex]c=3[/tex].

So far we have the equation:

[tex]y=ax^2+bx+3[/tex].

Let's enter the other points creating a system of linear equations to solve:

[tex]8=a(2)^2+b(2)+3[/tex]

[tex]5=a(6)^2+b(6)+3[/tex]

Let's simplify:

[tex]8=4a+2b+3[/tex]

[tex]5=36a+6b+3[/tex]

Let's subtract 3 on both sides:

[tex]5=4a+2b[/tex]

[tex]2=36a+6b[/tex]

I choose to solve the system by elimination.

Let's multiply the top equation by -3:

[tex]-15=-12a-6b[/tex]

[tex]2=36a+6b[/tex]

Now adding the equations results in:

[tex]-13=24a[/tex]

Divide both sides by 24:

[tex]\frac{-13}{24}=a[/tex]

Now using one of the equations we can find [tex]b[/tex]:

[tex]5=4a+2b[/tex] with [tex]a=\frac{-13}{24}[/tex]

[tex]5=4\frac{-13}{24}+2b[/tex]

[tex]5=\frac{-13}{6}+2b[/tex]

Add 13/6 on both sides:

[tex]5+\frac{13}{6}=2b[/tex]

[tex]\frac{30+13}{6}=2b[/tex]

[tex]\frac{43}{6}=2b[/tex]

Divide both sides by 2:

[tex]\frac{43}{2(6)}=b[/tex]

[tex]\frac{43}{12}=b[/tex]

So we have the equation:

[tex]y=\frac{-13}{24}x^2+\frac{43}{12}+3[/tex]

Let's evaluate [tex]a+b+c[/tex] now:

[tex]\frac{-13}{24}+\frac{43}{12}+3[/tex]

[tex]\frac{-13+86+72}{24}[/tex]

[tex]\frac{73+72}{24}[/tex]

[tex]\frac{145}{24}[/tex]

The attendance at a seminar in year 1 was 500. In year 2, the attendance changed by 100. What was the percent change in attendance

Answers

Answer:

The answer is 20% :)

Graph the systems of equations. {2x+y=8 −x+2y=6 Use the Line tool to graph the lines.

Answers

A system of equations is simply a collection of multiple equations that are either consistent, inconsistent, dependent or independent.

The system of equations is given as:

2x + y = 8-x + 2y= 6

Next, we plot the graph of both equations (see attachment)

From the attached graph, the solution to the system of equation is (2/3,2/3)

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Answer: your welcome :)

Step-by-step explanation:

Emily has 6 cans of pain. She uses 3 5/8 cans. How many cans she have left

Answers

She has 2 3/8 cans of paint left .

Answer: the answer is 2.375 and as a mixed fraction is 2 3/8

Step-by-step explanation: first you subtract 3 5/8 from 6 so 6-3= 3 and in order to get the 3/8 you have to make one more number divisible by 1 which in this case was

Over 8 so then you do 8/8 which gives you a whole then you subtract the 5-8/8 which is 3/8 plus the 2 you had left

Bank robber holds up a bank and speeds off at 71 mph. Police start chasing him 10 minutes later going 78 mph. How long will it take to catch up to them?

Answers

Answer:

It takes 1.68 hours to catch up to them.

Step-by-step explanation:

The speed of robber = 71 mph

The  speed of police =  78 mph

The police  start 10 minutes  later

by that time robber would have travelled

[tex]distance = \frac{speed}{time}[/tex]

10 minutes  =0.166667 hours

then the distance  =  11.8 mph

Let them meet at distance x from the bank.

time taken by police to reach x , time =[tex]\frac{ x}{78}[/tex]----------------------(1)

time taken by robber in the same time = [tex]\frac{x-11.8}{71}[/tex]---------------(2)

Equating (1) and (2)

[tex]\frac{x}{78} =\frac{ x-11.8}{71}[/tex]

[tex]71 x = 78(x - 11.8)[/tex]

71x =78x - 920.4

920.4 = 78x - 71x

920.4 = 7x

x = 131.48

The distance where they catch up with the robber from the bank is 131.48 miles

speed of police = 78 mph

distance =  131.48  miles

time they catch up = [tex]\frac{131.48}{78}[/tex]

= 1.68 hours

Do you guys know what y=2x is ?

Answers

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope:  

2

y-intercept:  0 x  y 0 0 1 2

Step-by-step explanation:

How many fractions are there between 1/4 and 1/2?

Answers

Answer:

none

Step-by-step explanation:

you cant multiply or divide to make them equivalent

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The information on a one-gallon paint can is that the coverage, when properly applied, is 440 ft2. One gallon is 231 in3. What is the average thickness of the paint in such an application Tina ordered a replacement part for her desk. It was shipped in a box that measures 4inches By 4inches by 14 inches. What is the greatest length in whole inches that the part could have been (Answer you get 15 points) In this activity, you'll be writing an essay evaluating the reasoning of the Supreme Court majority opinion and dissent in the case of Tinker v. Des Moines. On what grounds did each group of justices support their opinions What is the product? 3 x [1 -4 5 -7] Country A and country B initially have the same per capita income. Suppose that A sustains an annual growth rate of 3.5 percent, while the annual growth rate of country B is 1.75 percent. The "rule of 70" indicates that after forty years, the per capita income of country A will be approximately _________ that of country B.A) one-halfB) 70 percent greater thanC) twiceD) four times A Cepheid variable star is a star whose brightness alternately increases and decreases. Suppose that Cephei Joe is a star for which the interval between times of maximum brightness is 6.6 days. Its average brightness is 2.6 and the brightness changes by /-0.6. Using this data, we can construct a mathematical model for the brightness of Cephei Joe at time t, where t is measured in days:(a) Find the rate of change of the brightness after t days. (b) Find the rate of increase after one day. While conducting research with a small population in South America you note that an overwhelming majority of individuals exhibit signs of a specific genetic abnormality. This is most likely the result of:__________. Following are the transactions of a new company called Pose-for-Pics.Aug. 1 Madison Harris, the owner, invested $12,000 cash and $51,600 of photography equipment in the company in exchange for common stock. 2 The company paid $2,300 cash for an insurance policy covering the next 24 months. 5 The company purchased office supplies for $2,280 cash. 20 The company received $2,000 cash in photography fees earned. 31 The company paid $881 cash for August utilities.Prepare an August 31 trial balance for Pose-for-Pics.a. Debit Creditb. Cashc. Officesd. Prepaid insurancee. Photography equipmentf. Common stockg. Photography fees earnedh. Utilities expensei. Totals Ancient astronomers typically practiced both astronomy and astrology, but the two are not the same. 1. Classify the following items as belonging to astronomy, astrology, or both. O Age of Aquarius O Science O based on superstitionO records scientific measurements during research O each person is born under a sign that governs their lifeO followos rules made thousands of years ago Choose a linear function for the line represented by the point-slope equation y-5= 3(x - 2).f(x) = 3x + 1f(x) = 3x - 1f(x) = 8x + 10f(x) = 8x 10 A force of 10 lb is required to hold a spring stretched 2 in. beyond its natural length. How much work W is done in stretching it from its natural length to 5 in. beyond its natural length? Examine Sams use of the word questionizin on page 63. Vernacular language, like figurative language, often has nuanced meanings. How is the meaning of the word questioning subtly different from questionizin? Which is NOT an example of a behavior exhibited in a market economy? a. For their wedding, Alex and Erika choose Matte Photography instead of Pro Finish Photography, since Matte Photography is cheaper. b. Despite the advice of its business partners, Puna discontinues its most popular lines of clothing, and chooses instead to produce retro jean jackets and purple sweatpants, thinking that jean jackets and sweatpants are bound to make a fashion comeback. c. The president of the European country of Semolina decrees that pasta must be consumed at all meals in an effort to help domestic pasta makers. d. Nettoyer decides to introduce a soap scent, Pomegranate, in response to Schoon's new soap scent, Blood Orange, and Sauber's award-winning scent, Tangerine.