May someone please help me with the equation? I would be so very thankful.

May Someone Please Help Me With The Equation? I Would Be So Very Thankful.

Answers

Answer 1

[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \cfrac{4(3x^2y^4)^3}{(2x^3y^5)^4}\implies \cfrac{4(3^3x^{2\cdot 3}y^{4\cdot 3})}{(2^4x^{3\cdot 4}y^{5\cdot 4})}\implies \cfrac{4(27)x^6y^{12}}{16x^{12}y^{20}}\implies \cfrac{108x^6y^{12}}{16x^{12}y^{20}} \\\\\\ \cfrac{108}{16x^{12}x^{-6}y^{20}y^{-12}}\implies \cfrac{108}{16x^{12-6}y^{20-12}}\implies \cfrac{27}{4x^6 y^8}[/tex]


Related Questions

2. Ryan gets a raise. He now earns $9 an hour. Ryan decides to
start saving for a car. He works 9 hours a week
Part A
How many hours does Ryan need to work to earn
enough money to buy the car as well as pay for the
taxes, title, and plates as shown? Draw bar diagrams
to help write and solve equations.
Part 8
About how many weeks will Ryan need to work to buy the car and pay
for the taxes, title, and plates? Explain.
Part
How many actual weeks does Ryan need to work to buy the car and pay
for the taxes, title, and plates? Show your computations. Explain why your
solution is reasonable.

Answers

Answer:

9 hours at 9 dollars an hour is 81 dollars so therefore he needs to work 9 weeks in order to raise the money.

Step-by-step explanation:

Final answer:

Without the total cost of the car and additional fees, we cannot accurately calculate the number of hours or weeks Ryan needs to work. However, the process involves dividing the total cost by his hourly or weekly wage and interpreting the results.

Explanation:

In order to answer these questions, we first need to know the total cost of the car including the taxes, title, and plates. We are given that Ryan earns $9 per hour and works about 9 hours a week. However, without the total cost of the car and other fees, we cannot accurately calculate how many hours or weeks Ryan needs to work to afford the car.

Part A: Once we have the total cost, we could draw a bar diagram partitioning it into units of $9 (one hour's wage). This would visually represent the number of hours Ryan needs to work.

Part B & C: For these parts, we would also need to know the total cost. Once we have it, we divide the total cost by Ryan's weekly wage ($9/hour x 9 hours = $81/week) to get the number of weeks he needs to work. If the result is a fraction, we would round it up to the next whole number for Part B, as Ryan cannot work a fraction of a week. This provides an estimate. For Part C, we would be more precise by exactly computing the number of weeks and explaining why our solution is reasonable.

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I need help with this problem

Answers

Answer:

c. 106 million

Step-by-step explanation:

A = number of people in the sample that use public transportation 5 or more days per week

A = 2,067,153

B = number of people total in the sample

B = 4,295,280

C = proportion of those in the sample that use public transportation 5 or more days per week

C = A/B

C = (2,067,153)/(4,295,280)

C = 0.48126 approximately

Multiply this value by the figure 220 million to compute the estimated number of people who use public transportation 5 or more days per week

C*(220 million) = 0.48126*(220 million) = (0.48126*220) million = 105.8772 million = 106 million

Period:
1. Your cell phone plan costs 15 dollars a month, plus 10 cents per minute. Fill out a table, create a graph,
and write an equation to model the money you will spend each month on your cell phone.
Graph
Equation
Table
minutes cost​

Answers

To model the money spent on a cell phone plan each month, the equation Cost = $15 + $0.10 × minutes can be used. A table and graph can be created by choosing different values for minutes and calculating the corresponding cost. The slope of the line represents the rate of change and the y-intercept represents the fixed cost.

To model the money you will spend each month on your cell phone, you can use the equation:

Cost = $15 + $0.10 imes minutes

This equation represents a linear relationship where the fixed cost is $15 and the variable cost is $0.10 per minute. To create a table and graph, you can choose different values for minutes and calculate the corresponding cost. For example:

Minutes Cost

0 $15

10 $16

20 $17

Using this data, you can plot the points on a Cartesian coordinate plane and draw a straight line through them. The slope of the line represents the rate of change (0.10 in this case) and the y-intercept represents the fixed cost ($15).

Mary has a collection of nickels and quarters for a total of $4.90. If she has 42 coins in total, how many of each kind are there?

Answers

Answer:

14 quarters and 28 nickels

Step-by-step explanation:

System of Equations where x = number of quarters and y = number of nickels

(1) equation with value of each coin

    0.25(x)+0.05(y) = 4.90

(2) total number of coins

    x + y = 42

Solve system of equations using either substitution or elimination

(elimination multiplying equation 2 by -0.5)

.25(x) + 0.05(y) = 4.90

-0.05(x) - 0.05(y) = 42 * (-0.05)

(3) Resulting equation

.20(x) = 2.8

x = 14

plug x into equation 2

14 + y = 42

y = 28

There are 14 quarters and 28 nickels in Mary's collection.

Select all the points that are on the graph of the line 2x + 4y=20 a.)(0.5) b. (0,10) c. (1,2) d.) (1,4) e.) (5,0) f. (10,0)

Answers

Answer:

(0,5) and (10,0)

Step-by-step explanation:

The equation of the straight line is given by 2x + 4y = 20 .......... (1)

Now, point (0,5) satisfies the equation (1) as putting x = 0, we will get y = 5.

Now, point (0,10) does not satisfy the equation (1) as putiing x = 0, we get y = 5 ≠ 10

Again, point (1,2) does not satisfy the equation (1) as putiing x = 1, we get y = 4.5 ≠ 2

Now, point (1,4) does not satisfy the equation (1) as putiing x = 1, we get y = 4.5 ≠ 4

Again, point (5,0) does not satisfy the equation (1) as putiing y = 0, we get x = 10 ≠ 5

Finally, point (10,0) satisfies the equation (1) as putiing y = 0, we get x = 10 .

Therefore, only points (0,5) and (10,0) are on the graph of the line 2x + 4y = 20 (Answer)

Answer:

The points a. (0,5) and f. (10,0) will lie on the given line.

Step-by-step explanation:

The given equation of line is [tex]2x + 4y=20[/tex].

Now, it is required to check whether the given point lie on the line or not. To check it, put the points in the equation of line and if they satisfies, then the point will be on the line else not.

(a) The first point is (0,5). Put this point in the equation as,

[tex]2x + 4y=20\\2\times0+4\times 5=20\\20=20[/tex]

Thus, the point satisfies and it will lie on the line.

(b) The first point is (0,10). Put this point in the equation as,

[tex]2x + 4y=20\\2\times0+4\times 10=20\\40\neq20[/tex]

Thus, the point doesn't satisfy and hence, it will not lie on the line.

(c) The first point is (1,4). Put this point in the equation as,

[tex]2x + 4y=20\\2\times1+4\times 4=20\\18 \neq 20[/tex]

Thus, the point doesn't satisfy and hence, it will not lie on the line.

(d) The first point is (5,0). Put this point in the equation as,

[tex]2x + 4y=20\\2\times5+4\times 0=20\\10 \neq 20[/tex]

Thus, the point doesn't satisfy and hence, it will not lie on the line.

(f) The first point is (10,0). Put this point in the equation as,

[tex]2x + 4y=20\\2\times10+4\times 0=20\\20 =20[/tex]

Thus, the point satisfies and it will lie on the line.

Therefore, points (0,5) and (10,0) will lie on the given line.

Refer the graph of line and points.

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Solve the right triangle​ ABC, with Cequals90degrees. Aequals58.3degrees​, cequals24.8 ft

Answers

m∠B = 31.7° , a = 21.1 ft , b = 13.0 ft

Step-by-step explanation:

If ABC is a right triangle, where the right angle is B, then

The hypotenuse of the triangle is b and a , c are its legssin(A) = [tex]\frac{a}{b}[/tex]sin(C) = [tex]\frac{c}{b}[/tex][tex]b=\sqrt{a^{2}+c^{2}}[/tex]The sum of the measures of the two acute angles A and C is 90°

∵ ABC is a right triangle

∵ m∠C = 90°

∴ c is the hypotenuse and a , b are its legs

∵ m∠A = 58.3°

- The sum of the two acute angles in the right triangle = 90°

∴ m∠A + m∠B = 90°

- Substitute the measure of angle A

∴ 58.3 + m∠B = 90

- Subtract 58.3 from both sides

m∠B = 31.7°

∵ sin(A) = [tex]\frac{a}{c}[/tex]

∵ c = 24.8 feet

∴ sin(58.3) = [tex]\frac{a}{24.8}[/tex]

- By using cross multiplication

∴ a = (24.8) × sin(58.3)

a = 21.1 ft

∵ sin(B) = [tex]\frac{b}{c}[/tex]

∵ c = 24.8 feet

∴ sin(31.7) = [tex]\frac{b}{24.8}[/tex]

- By using cross multiplication

∴ b = (24.8) × sin(31.7)

b = 13.0 ft

m∠B = 31.7° , a = 21.1 ft , b = 13.0 ft

Learn more:

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A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 12 tables is $105. The total cost to rent 5 chairs and 3 tables is $33. What is the cost to rent each chair and each table?

Answers

The cost to rent one chair is $1.5 and one table is $8.5

Step-by-step explanation:

Let,

x be the cost of one chair

y be the cost of one table

According to given statement;

2x+12y=105    Eqn 1

5x+3y=33    Eqn 2

Multiplying Eqn 2 by 4;

[tex]4(5x+3y=33)\\20x+12y=132\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 1 from Eqn 3;

[tex](20x+12y)-(2x+12y)=132-105\\20x+12y-2x-12y=27\\18x=27[/tex]

Dividing both sides by 18

[tex]\frac{18x}{18}=\frac{27}{18}\\x=1.5[/tex]

Putting x=1.5 in Eqn 1

[tex]2(1.5)+12y=105\\3+12y=105\\12y=105-3\\12y=102\\[/tex]

Dividing both sides by 12

[tex]\frac{12y}{12}=\frac{102}{12}\\y=8.5[/tex]

The cost to rent one chair is $1.5 and one table is $8.5

Keywords: linear equations, subtraction

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Final answer:

Using a system of linear equations, we determine that the cost to rent each chair is $3 and the cost to rent each table is $6 from the party rental company.

Explanation:

To determine the cost to rent each chair and each table from the party rental company, we need to solve a system of linear equations based on the information provided:

The total cost to rent 2 chairs and 12 tables is $105.

The total cost to rent 5 chairs and 3 tables is $33.

Let's let c represent the cost of renting one chair and t represent the cost of renting one table. We can write the following system of equations:

2c + 12t = $105

5c + 3t = $33

By solving this system, we find that the cost to rent each chair (c) is $3 and the cost to rent each table (t) is $6.

How to calulate the area of a square with a perimeter of 60 inches​

Answers

Answer:

A = 225 in²

Step-by-step explanation:

The formula of an area of a square:

[tex]A=s^2[/tex]

s - side

The formula of a perimeter of a square:

[tex]P=4s[/tex]

s - side

We have a perimeter

[tex]P=60\ in[/tex]

Substitute:

[tex]4s=60[/tex]             divide both sides by 4

[tex]\dfrac{4s}{4}=\dfrac{60}{4}\\\\s=15\ in[/tex]

Put it to the formula of an area of a square:

[tex]A=15^2=225\ in^2[/tex]

Answer: 225 in.²

Step-by-step explanation: First, we want to find the length of one side. Since we know that a square has 4 sides and the perimeter is 60 inches, we can set up the following equation to find the length of one side.

Let's use l as our variable to represent length.

4l = 60

To get l by itself, we need to divide by 4 on the left side of the equation. Since we divided by 4 on the left side, we must also divide by 4 on the right side. On the left side, the 4's cancel and we are left with l. On the right side, we have 60 over 4 which simplifies to 15.

This means that a side of the square is 15 inches.

Now, we are asking ourselves what is the area of a square with a side length of 15 inches.

To find the area of a square, remember that a square is a type of rectangle so we can use the following formula.

Area = length × width

However, since the length and width of a square are always equal, we use a special version of this formula to find the area of a square.

Instead of area = length × width, we say that the area of a square equals side × side or S².

Since the sides of the square each have a length of 15 inches, the area of the square is equal to (15 in.)² or (15 in) (15 in) which equals 225 in.²

Therefore, the area of the square is 225 in.².

Someone please help!

Answers

Answer:

1. 35, 32, 29, 26 are in Arithmetic Sequence having common difference - 3.

5. -7, -9, -11, -13 are in Arithmetic Sequence having common difference - 2.

Step-by-step explanation:

1. 35, 32, 29, 26 are in Arithmetic Sequence having common difference - 3.

2. -1. 6, -36, 216 are not in Arithmetic Sequence.

3. -2, -4, -8, -16 are not in Arithmetic Sequence.

4. -1, 1, 4, 8 are not in Arithmetic Sequence.

5. -7, -9, -11, -13 are in Arithmetic Sequence having common difference - 2.

6. 1, -5, 25, -125 are not in Arithmetic Sequence. (Answer)

I can’t seem to figure this out help please

Answers

Answer:

10 hours

Step-by-step explanation:

you need to drop 36 degrees, so 36/4 = 9 hours

1 pm + 9 hours = 10 pm

Answer:

Step-by-step explanation:

The lower half of a square pyramid is made of granite and the top half is made of limestone. Explain how you could find the surface area of the exposed granite.

Answers

Answer:

Area of the surface area of the lower half made of exposed granite = 1/4 (Perimeter of the base * Slant length)

Step-by-step explanation:

1. Let's review the data provided to us for solving the question:

Lower half of a square pyramid is made of granite

Top half of a square pyramid is made of limestone

2. Let's explain how we could find the surface area of the exposed granite.

First of all, let's remember what is the area of a square pyramid:

Area of square pyramid = Base area + Surface area of the four sides

Normally, we need to know the length of the square base and the slant length. And now let's replace in the formula:

Area of square pyramid = Length of the side of the square² + 1/2 (4 * Length of the side of the square * Slant length)

For calculating the surface area of the lower half made of exposed granite, we need to don't consider the base area and just the half of the surface area of the four sides, so the formula is:

Area of the surface area of the lower half made of exposed granite = 1/2 [1/2 (4 * Length of the side of the square * Slant length)]

Area of the surface area of the lower half made of exposed granite = 1/4 (4 * Length of the side of the square * Slant length)

Area of the surface area of the lower half made of exposed granite = 1/4 (4 * Length of the side of the square * Slant length)

Area of the surface area of the lower half made of exposed granite = 1/4 (Perimeter of the base * Slant length)

If we want to know the surface area of the lower half made of limestone, we can use the same formula:

Area of the surface area of the lower half made of limestone = 1/4 (Perimeter of the base * Slant length)

Answer:

Find the surface area of the entire square pyramid. Find the surface area of the exposed sides of the square pyramid made from limestone. Subtract the surface area of the square pyramid made from limestone from the surface area of the entire square pyramid.

Step-by-step explanation:

edg.

15. The fourth graders
are going to the
science museum
© Assessment
Continued
Number of
People
Group


Mr. Vorel's Class30
Ms. Cahill's Class32
Mrs. Winter's Class29
Miss Meyer's Class28
Teachers and Chaperones 9

Groups of 8 people can see a special
exhibit on space travel. How many
groups will be needed so everyone can
see the exhibit?

Answers

Answer:

16 groups

Step-by-step explanation:

Add all the people up then divided it by 8 so now it will be 8 people in each group and there will be a total of 16 groups

30+32+29+28+9=128/8=16

The number of groups will be needed so everyone can see the exhibition is 16.

Given that, the fourth graders are going to the science museum.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here,

Total number of people

=30+32+29+28+9

= 128

Groups of 8 people can see a special exhibit on space travel.

Number of groups = Total number of people/Number of groups

= 128/8

= 16

Therefore, the number of groups will be needed so everyone can see the exhibition is 16.

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What is the slope and y intercept of y-4x=-2

Answers

Answer:

Step-by-step explanation:

y=4x-2

Leona purchased a $1,000 bond having a quoted price of 99.875. She had to pay a 5.5% brokerage fee (of the selling price). What was the total cost of the bond (to the nearest whole cent)?
$943.82
$1,064.44
$534.77
$2,054.22
None of these choices are correct.

Answers

Answer:

The total cost of the bond is none of the given choices.

Step-by-step explanation:

The selling price of a $1000 bond  =   $99.875

The brokerage fee = 5.5 %

Now, 5.5%  of $99.875 =  [tex]\frac{5.5}{100}  \times 99.875 = 5.493[/tex]

So, the brokerage fee = $5.493

Now, to find out the total cost of the bond:

Total Cost  = The selling Price + Brokerage Price

                  = $99.875 + $5.493

                  =  $105.368

or, the total price of the $1000 bond is $ 105.368.

Hence,  the total cost of the bond is none of the given choices.

Write the equation of the parent graph y=x^2 that has shifted right 5 and up 2

Answers

Answer:

y=x^2-10x+27

Step-by-step explanation:

y=x^2

Shifted 5 to the right: y = (x-5)^2

Shifted 2 up: y = (x-5)^2+2

Simplify. You can use "(a-b)^2 = a^2-2ab+b^2" formula.

y = (x-5)^2+2 becomes y=x^2-10x+25+2 = y=x^2-10x+27

the distance that Brad travels varies directly with the time spent traveling. Brad traveled 660 miles in 12 hours. How many miles could brad travel in 4? ​

Answers

Answer:

In 4 hours, Brad will travel 220 miles.

Step-by-step explanation:

Create the direct variation model-

y = kx

y- represents the total miles

x- represents hours

660 = k12

660/12 = k

k = 55

Model:

y = 55x

Replace x with 4:

y = 55(4)

y = 220

In 4 hours, Brad will travel 220 miles.

The answer is 220 miles.

[tex]\text{Hello there!}\\\\\text{We know that Brad traveled 660 miles in 12 hours. However, we need to}\\\text{find how many miles he traveled in 4 hours}\\\\\text{First, we need to find how many miles he can travel per hour}\\\\\text{Do this by dividing 660 by 12}\\\\660\div12=55\\\\\text{Now multiply 55 by 4 in order to see how many miles he traveled in 4 hours}\\\\55*4=220\\\\\boxed{\text{Answer: 220 miles}}[/tex]

Evaluate -3x 3 y 2, if x = -2 and y = -1. -24 24 36 -36

Answers

Answer:

24

Step-by-step explanation:

-3x^3*y^2=-3(-2)^3=(-3)(-8)*(-1)^2=24*1=24

7.90 for 40 ounces of laundry soap unit rate​

Answers

Answer:

$0.20 for 1 ounce of laundry soap

Step-by-step explanation:

7.90/40=0.1975

money can't be written like that so we have to round to the nearest hundredths

= $0.20

What is the length of the shadow cast by a 12-foot lamp post when the angle of elevation of the sun is 60º? (to the nearest tenth)

Answers

Answer:

6.9 foot.

Step-by-step explanation:

Given: Length of lamp post= 12-foot.

           The angle of elevation of the sun is 60°.

∴ The length of Lamp post, which is opposite is 12-foot.

  Now, finding the length of shadow cast by foot lamp.

Length of shadow is adjacent.

∴ We know the formula for [tex]Tan\theta[/tex]= [tex]\frac{Opposite}{adjacent}[/tex]

Next, putting the value in the formula.

⇒ [tex]Tan 60° = \frac{12}{adjacent}[/tex]

Cross multiplying both side and using the value of Tan 60°

∴ Adjacent= [tex]\frac{12}{\sqrt{3} } = 6.92[/tex] ≅ 6.9 (nearest tenth value)

6.9 is the length of shadow cast by a 12-foot lamp post.

Answer:6.9

Step-by-step explanation:

usatestprep

The signs show the costs of different games at a math festival. How much would it cost n people to play Decimal Decisions and Ratio Rage?

Answers

Answer:

$21.70-3.4n

Step-by-step explanation:

Decimal Decisions: 12.70-n+9

Ratio rage: n÷4

Expression: 12.70-n+9+n/4

Combine 12.70 and 9= 21.70

Bring down the rest of the expression.

21.70-n+n/4

Combine -n and n/4= -4n/4÷1n/4= 3/n

So, the answer is $21.70-3.4n

Final answer:

To determine the cost for n people to play Decimal Decisions and Ratio Rage, we need the cost per person for each game.

Explanation:

To find out how much it would cost n people to play Decimal Decisions and Ratio Rage, we need to know the cost per person for each game. However, the cost for these games is not provided in the question. Can you please provide the cost for each game so that I can help you calculate the total cost?

And equation that equals 23 that has a negative in it but the answer is positive

Answers

Answer:

equation: -23 x -1

Step-by-step explanation:

two negatives equal positive

two positive equal positive

one positive and one negative equals negative

how many square feet of outdoor carpet will we need for this hole?

please need help asap
disclaimer: if u do not know the answer please do not guess.please and thankyou​

Answers

Answer:

36 sqaured feet

Step-by-step explanation:

24 plus 12 i believe?

Answer:

its so easy : 36 square feet

Step-by-step explanation:

add 24+12=36

PLEASE PLEASE PLEASE ​

Answers

Answer: The first one

Amy and Stephanie were playing a number game. Amy picked a number and told Stephanie that if she added 9 to the number and multiplied the sum by 3, it would equal 12. Which equation could Stephanie use to find the number, x?

Answers

Answer:

The equation for the statement is  ( x + 9 ) × 3 = 12 , and the value of         x is - 5   .

Step-by-step explanation:

Given as :

Let The number picked by Amy = x

Amy told to Stephanie

she add 9  to the number and multiply the sum by 3 it would be 12

So, According to statement

( x + 9 ) × 3 = 12

Or, 3 x + ( 9×3 ) = 12

Or, 3 x + 27 = 12

or, 3 x = 12 - 27

or, 3 x = - 15

∴  x = - [tex]\frac{15}{3}[/tex]

I.e x = - 5

Hence The equation for the statement is  ( x + 9 ) × 3 = 12 , and the value of x is - 5   .  Answer

vincent’s copier can print in 7 hours. chris’s printer can do the same in 13 hours. how long would it take to do the job using both copiers

Answers

Answer:

Step-by-step explanation:

1/7+1/13=1/t

multiply both sides by 7*13*t

13t+7t=7*13

21t=91

t=91/19

it will take 4 hours and 8 minutes

Find y when x is -3
y=6x+8

Answers

Answer:

-10

Step-by-step explanation:

y=6x+8

y=6(-3)+8

y=-18+8

y=-10

HELP ME RIGHT NOW
thank you ​

Answers

Answer:

no

Step-by-step explanation:

it would not make a a circle

Answer:

No! :)

Step-by-step explanation:

It wouldn't create a circle, Hope this helps xx

For the following right triangle, find the side length x. Round your answer to the nearest hundredth. Side 15 bottom x 25 upper

Answers

Answer:

x = 20

Step-by-step explanation:

To do this question, you can use the pythagorean theorem.  c is your hypotenuse, a is the unknown side length and b is the known side length.

a^2+b^2=c^2

x^2+15^2=25^2

x^2=225=625

x^2=400

(x^2)^(1/2)=400^(1/2)

x = 20

80 foot roll of fence. to fit in backyard the width must be 15 feet long. how long can he make the other side in feet if he wants to use the entire roll?​

Answers

Answer:

65 feet.

Step-by-step explanation:

80 feet roll of the fence is there.

It fits in the backyard the width must be 15 feet long.

So, there will be remaining (80 - 15 ) = 65 feet of fence.

If he wants to use the entire roll to fence the other side of the area then he can do it for more 65 feet length. (Answer)

Solve for (2-x)(x^2-4)

Answers

Answer:

-x^3+2x^2+4x-8

Step-by-step explanation:

(2-x)(x^2-4)

2x^2-8-x^3+4x

-x^3+2x^2+4x-8

Other Questions
M=4/5 y - intercept of -2 Please answer quick! Its multiple choice... Why did Clay and Webster bring the Bank of the United States charter up for renewal early?A) Jackson said he would approve the charter if it was passed by Congress.B) They wanted to make sure that the bank was not an issue in the upcoming election.C) Clay and Webster were not reelected and this was their last chance to influence Congress.D) They hoped Jackson would lose votes as a result of his response to the charter renewal. There are two cookie jars: jar 1 contains two chocolate chip cookies and three plain cookies, and jar 2 contains one chocolate chip cookie and one plain cookie. Blind- folded Fred chooses a jar at random and then a cookie at random from that jar. What is the probability of him getting a chocolate chip cookie? In order to produce 100 pairs of oven gloves, Marcia incurs an average total cost of $2.50 per pair. Marcias marginal cost is constant at $10.00 for every pair of oven gloves produced. The total cost to produce 50 pairs of oven gloves is:a. $250.00b. $500.00c. $300.00d. $200.00 Darin cheers at a football game when his hometown team scores, and his Dad gives him a high five. Darin later begins cheering with his Dad at basketball, baseball, and hockey games when his hometown teams score. This is an example of Darins cheering behavior ____________ to other situations. Question 25 of 331 PointWhat can people do to conserve Earth's coal supply?OA. Install scrubbers in power plants.OB. Replant diminishing forests.OC. Invest in solar power plants.OD. Capture and store carbon.SUBMIT Select the correct answer.Solve the following equation for80x2 + 92x 84 = 0 Which of the following shows a line with a slope of2/3? After a subject has developed a classically conditioned response, an investigator begins presenting the conditioned stimulus by itself. Which of the following is likely to occur?A. extinctionB. stimulus generalizationC. spontaneous recoveryD. acquisition The tension experienced by a person whose behavior is incongruent with their attitude and they feel unsettled or disturbed because of it is referred to as_______________. A. cognitive disequilibrium. B. the comfort-discomfort effect. C. attitude cognizance. D. cognitive dissonance A flock of 20 seagulls merges with a flock of cardinals. The new flock is bigger than either of the original ones, but still, it is no larger than 100 birds. How many birds were in the flock of cardinals? What is the answer for -6n-2n=16 Within the field of psychology, there is quite a bit of agreement regarding the empirical support for several of the personality disorders, but _________ personality disorder has generated a difference of opinion among experts.A. schizotypalB. borderlineC. antisocialD.Vdependent DOES ANYONE KNOW HOW TO DO THIS PROBLEM???? I AM NOT SURE HOW TO SOLVE THIS PROBLEM!!!!!!!!!!!!!!!!! Are the ratios of the number of people to the number of rollercoaster cars in a proportional relationship? Explain your reasoning.Answer in 2 complete sentences.183=61305=61366=61488=61 Bobby stole money from the local grocery store on the corner to buy beer. He later assaulted a 72-year-old woman and stole her purse. In the alley, he dumped the purse, went to Starbucks for a cup of coffee, and proceeded to take the train over to the South Side. On the train, a passenger stepped on his shoes, and he threw the hot coffee into the passenger's face and laughed. Bobby would be considered to have: Consider an economy with two types of firms, S and I. S firms always move together, but I firms move independently of each other. For both types of firms there is a 40% probability that the firm will have a 20% return and a 60% probability that the firm will have a -30% return. The standard deviation for the return on an individual firm is closest to ________. A) 24.49% B) -10.00% C) 12.25% D) 9.80% According to classical economics, a decrease in aggregate demand causes the price level to _____________ in the long run. On the other hand, an increase in aggregate demand causes the price level to _____________ in the long run. These changes occur because of _____________.a. increase; decrease; government interventionb. increase; decrease; price flexibilityc. decrease; increase; government interventiond. decrease; increase; price flexibility guitar string has an overall length of 1.22 m and a total mass of 3.5 g before being strung on a guitar. Once it is used on the guitar, there is a distance of 70 cm between fixed end points. The guitar string is tightened to a tension of 255 N.What is the frequency of the fundamental wave on the guitar string? You start a new job. You want to install some fun software on your laptop and get an error message which indicates that the software is not on the ________________ list so it cannot be installed.