what is the solution to d · -4=32​

Answers

Answer 1

Answer:

-8

Step-by-step explanation:

-4d=32

d=32/-4

d=-8


Related Questions


The Drury Lane Theater has 10 seats in the first row and 38 rows in all. Each successive row contains one additional seat. How many seats are in the theater?

Answers

Answer:

Step-by-step explanation:

Given : 10 seat in first row, and the seat will increase 1 by 1 as we go above.... (as we go to the next row) - total rows - 38

Solve ; 38 rows, 10 seat in first row, 1 seat increases each row....

Extra seats - 37,

So,

37 x 10 = 370

TOTAL SEATS = 370

Answer:

  1083 seats

Step-by-step explanation:

The number of seats is an arithmetic series with first term 10 and common difference 1. We want to find the sum of 38 terms of the series.

Setup

The sum of n terms of an arithmetic series with first term a1 and common difference d is given by the formula ...

  Sn = (2a1 +d(n -1))(n/2)

The sum of the series of interest is ...

  S38 = (2(10) +1(38 -1))(38/2)

Total seats

The total number of seats in the theater can be found by evaluating the expression for S38:

  S38 = (20 +37)(19) = 57×19 = 1083

There are 1083 seats in the theater.

3x-6=15 what is the value of x?

Answers

Answer:

7

Step-by-step explanation:

frist simplfying

3x-6=15

addind six to both side

3x-6+6=15+6

3x=21 dividing by 3

x=7

Which equation could represent the graph shown below?
F(x) = ^3√x + 2 (sqrt just over the x)
F(x) = ^3√x - 2 (sqrt just over the x)
F(x) = ^3√x + 2 (the sqrt is over the whole equation)
F(x) = ^3√x - 2 ( the sqrt is over the whole equation)
I DONT KNOW HOW TO PUT A PICTURE OF THE GRAPH!!

Answers

The equation of the graph is [tex]f(x) = -\sqrt{x -2[/tex]

How to determine the graph equation?

The graph is added as an attachment

The form of the graph is

[tex]f(x) = a\sqrt{x + b[/tex]

The graph passes through the points (2, 0) and (6, -2).

So, we have:

[tex]0 = a\sqrt{2 + b[/tex] and [tex]-2 = a\sqrt{6 + b[/tex]

Solve for b in [tex]0 = a\sqrt{2 + b[/tex]

Divide both sides by a

[tex]0 = \sqrt{2 + b[/tex]

Square both sides

0 = 2 + b

Subtract 2 from both sides

b = -2

Substitute b = -2 in [tex]-2 = a\sqrt{6 + b[/tex]

[tex]-2 = a\sqrt{6 -2[/tex]

[tex]-2 = a\sqrt{4[/tex]

Evaluate the square root

-2 = 2a

Divide by 2

a = -1

Substitute b = -2 and a = -1 in [tex]f(x) = a\sqrt{x + b[/tex]

[tex]f(x) = -\sqrt{x -2[/tex]

Hence, the equation of the graph is [tex]f(x) = -\sqrt{x -2[/tex]

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A variable that can only take on specific numeric values is called a _____. Group of answer choices categorical variable discrete random variable continuous random variable categorical variable

Answers

A variable that can only take on specific numeric values is called  A discrete random variable.

According to the statement

A variable which is used to select a specific numeric value and we have to find a those variable

A discrete random variable is one which may take on only a countable number of distinct values.

So, A variable that can only take on specific numeric values is called  A discrete random variable.

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Note: Figure is not drawn to scale.

The object above is symmetrical through Z. If Y = 14 inches, Z = 14 inches, and H = 10 inches, what is the area of the object?

Answers

The area of the object with a shape of kite having diagonals of 14 inches and 10 inches is 70 in².

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

The area of kite = (product of diagonals)/2

Area of kite = (10 * 14) / 2 = 70 in²

The area of the object with a shape of kite having diagonals of 14 inches and 10 inches is 70 in².

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Quick algebra 1 assignment for 50 points!
Experts and Geniuses please help asap, TYSM!


Oh by the way this is just a section of the real assignment, the assignment calls for you to make an app that people can play to learn inverse variation & direct variation and stuff.


Hope that helps solve this! :)

Answers

By inverse variation, the electric force between the two particles is 5 newtons when they are 20 centimeters apart.

How to use inverse variation to represent a situation

Herein we should present a statement that represents a real life situation and solve that statement. Here is an example:

In accordance with the Coulomb's law, electric force is inversely proportional to the square of the distance between the two electrically charged particles. If you know that electric force is 20 N when the two particles are 10 cm apart, what is the electric force if the distance is doubled.

Based on the statement, we have the following relationship:

F ∝ 1/r²

Where:

F - Electric charge, in newtonsr - Distance between the two electrically charged particles, in centimeters.

From such relation, we can determine the resulting force by the following equation:

F/20 = 10²/20²

F = 20 × 10²/20²

F = 5 N

By inverse variation, the electric force between the two particles is 5 newtons when they are 20 centimeters apart.

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please help me with this

Answers

Answer:

x = -9, y = 8

or,

(-9, 8)

Explanation:

Equation 1: 2x + 3y = 6

Equation 2: 4x - y = -44

To solve by substitution, make y subject for equation 2.

4x - y = -44

-y = -44 - 4x

y = 4x + 44

Substitute this y value into equation 1.

2x + 3(4x + 44) = 6

2x + 12x + 132 = 6

14x = 6 - 132

14x = -126

x = -9

Now, find y value:

y = 4x + 44

y = 4(-9) + 44

y = 8

To check for solution, insert x and y value in either equations.

2x + 3y = 6

insert values

2(-9) + 3(8) = 6

6 = 6

Hence, the solution is correct as both sides equal.

Answer:

Therefore x = -9 and y = 8.

Step-by-step explanation:

Substitution method

Equation (1) 2x + 3y = 6

Equation (2) ——— 4x - y = -44

When using substitution method , make x the subject of equation (1).

2x + 3y = 6

2x = 6 - 3y

x = 3 - 3y/2

Substitute the value of x in equation (2) to find y.

4(3 - 3y/2) - y = -44

12 - 6y - y = -44

Subtract 12 from both sides.

12 - 12 - 7y = -44 - 12

-7y = -56

y = 8

Substitute the value of y in equation (1) to find x.

2x + 3y = 6

2x + 3(8) = 6

2x +24 = 6

Subtract 24 from both sides.

2x + 24 - 24= 6 - 24

2x = -18

x = -9

Therefore x = -9 and y = 8.

To check out the solution.

Equation (1) 2x + 3y = 6 , x = -9 , find y.

Substitute the value of x

2(-9) + 3y = 6

-18 + 3y = 6

Add 18 to both sides.

-18 + 18 + 3y = 6 + 18

3y = 24

y = 8

Substitute the value of y in equation (1) .

2x +3(8) = 6

2x + 24 = 6

Subtract 24 from both sides.

2x + 24 - 24 = 6 -24

2x = -18

x = -9

As you can see when you substitute the value of x and y in the equation(1) , you get the same value of x and y ,which is -9 and 8 respectively. So the solution is correct.

Here is a list of numbers: 8.2, 0.4, 7.7, 2.8, 4.8, 6.1, 6.1 ,10 ,8.2 ,3 state the median.

Answers

Answer: 6.1

Step-by-step explanation:

The 40-hour work week did not become a U.S. standard until 1940. Today, many white-collar employees work more than 40 hours per week because management demands longer hours or offers large monetary incentives. A random sample of 26 white-collar employees worked on average 42.08 hours per week. Is there any evidence that the true mean number of hours worked per week by white-collar employees is greater than 40? Assume that the population standard deviation is 3.39 hours. Please use the exact value (from R) for all critical values. c) Is there any evidence to suggest the true mean number of hours worked per week by white-collar workers is greater than 40? Perform the hypothesis test at a 0.5% significance level. (0.5 pts.) Calculate the test statistic. 3.13 You are correct. Your receipt no. is 152-5185 Previous Tries (0.5 pts.) Calculate the p-value. Please write your answer in scientific notation using an E for the exponent and including at least 3 decimal places. For example, 1.234 x 10-5 would be written as 1.234E-5. 8.782x10-4 (0.5 pts.) d) Calculate the appropriate 99.5% bound that is consistent with what you did in parts b) and c).

Answers

The necessary assumptions are to get the sample for random sampling and ensure they are normal.

a. The required assumptions to form hypothesis are:Sample has to be drawn from random sampling.Sample has to be approximately normalThe samples have to be independent

b. The standard deviation is known hence we have to make use of the z distribution.

c. test statistic

42.08 - 40 / (3.39 /√26)

= 2.08 / 0.6648

= 3.129

≈3.13

p value

p(Z > 3.13)

= 0.0008770

8.7e-4

d. Z critical value = 2.81

42.08 +- 2.81 * 3.39/√26

= 42.08 +- 2.81*0.6648

=  42.08 - 1.868, 42.08 + 1.868

= 40.212  ,43.948

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Direct materials $ 5.50 direct labor $ 3.00 variable manufacturing overhead $ 1.50 fixed manufacturing overhead $ 4.00 fixed selling expense $ 2.50 fixed administrative expense $ 2.00 sales commissions $ 1.00 variable administrative expense $ 0.50 13. if the selling price is $21.50 per unit, what is the contribution margin per unit? (do not round intermediate calculations. round your answer to 2 decimal places.)

Answers

The contribution margin per unit is $ 1.50

The contribution margin is the percentage of a product's sales revenue that isn't consumed by variable costs and goes toward paying the firm's fixed expenses.

One of the main components of break-even analysis is the idea of contribution margin.

Labor-intensive businesses with few fixed expenses tend to have low contribution margins, whereas capital-intensive, industrial businesses have more fixed costs and, thus, higher contribution margins.

According to the question,

Total expenses per unit = $(5.50+3.00+1.50+4.00+2.50+2.00+1.00+0.50)

                                        = $ 20

Selling Price per unit = $ 21.50

Thus, contribution margin per unit = $ (21.50 - 20)

                                                         = $ 1.50

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A rectangle with a length of x - 4 and a width of 8 has a perimeter of 34. what is the value of x?

Answers

Answer:

13

Step-by-step explanation:

2(x-4+8)=34

x-4+8=17

x+4=17

x=13

The sales department has determined that the average purchase value for their catalog business is normally distributed with a mean of $30.44 and a standard deviation of $14.99. What is the purchase value at the 20th percentile

Answers

The purchase value at the 20th percentile is $17.85 for the distribution with a mean of $30.44 and a standard deviation of $14.99.

How to calculate Z-score to raw score X?

The formula for the X is

X = μ + Z × σ

where,

Z- score, μ is the mean, and σ is the standard deviation

Calculation:

It is given that,

μ = $30.44

σ = $14.99

x% is given as the 20th percentile

So, α = 0.20

then, the Z score from the normal distribution table is -0.84

On substituting,

X = μ + Z × σ

  = 30.44 + (-0.84 × 14.99)

  = 30.44 - 12.59

  = 17.85

Therefore, the purchase value at the 20th  percentile is $17.88.

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What are the solutions of the system of equations y = –(x + 2)2 + 1 and y = 2x + 5?

(–4, –3) and (–2, 1)

(–4, –3) and (2, 1)

(–4, 5) and (2, 1)

(–4, 5) and (–2, 1)

Answers

Answer:

(–4, 5) and (–2, 1)

Step-by-step explanation:

Answer: A: (-4,-3) (-2,1)

Step-by-step explanation:

I got this correct on the test. Using the substitution method give brainliest

Josie has 16 coins. Each of her coins is either a quarter or a dime. If she has 6 more dimes than quarters, and the total value is $2.35, how many quarters does Josie have?

Answers

Josie has a total of 5 quarters.

How to find the number of quarters using equation?

Josie has 16 coins. Each of her coins is either a quarter or a dime.

Let

x = number of quarters

y = number of dime

she has 6 more dimes than quarters.

Therefore,

y = 6 + x

x + y = 16

-x + y = 6

2y = 22

y = 11

11 = 6 + x

x = 11 - 6

x = 5

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15-point question. Pls help

Answers

Answer:

3/8

Step-by-step explanation:

There are 8 equal slices so each slice is 1/8th of the whole pizza

1/8+1/8=2/8 he ate right away

2/8+1/8 for what he ate before going to sleep

2/8+1/8=3/8

matthew ate 3/8 of the pizza

Using algebra, prove that 0.136 (3,6 recurring) is equal in value to 1/33.

Answers

Answer:

0.1363636... = 3/22

Step-by-step explanation:

Let x = 0.1363636...

           100x = 13.6363636...

  (-)            x =   0.1363636...

------------------------------------------

              99x = 13.5

x = 13.5/99

x = 135/990

x = 27/198

x = 9/66

x = 3/22

0.1363636... = 3/22

0.1363636... is not equal to 1/33.

1/33 = 0.030303...

need answered asapp!!

Answers

Answer:b

Step-by-step explanation:goooooooo

the correct answer is B because the charts title and label are different

if roni and allie work together to mow the field, what part of the field would roni mow?

Answers

Based on the Roni using a lawn mower and Allie pushing one, Roni would be able to mow 0.71 of the field.

How much of the field would Roni mow?

Assume that the part of the field that Roni would mow is x.

The relevant equation would be:

x/30 + x/75 = 1

5x/150 + 2x/150 = 1

7x / 150 = 1

x = 21.43

In 30 minutes, Roni would have mowed:

= 21.43 / 30

= 0.71

Full question is:

Roni and Allie are mowing the grass at the soccer field. Roni has a riding lawn mower and can mow the field in 30 minutes. Allie is pushing a lawn mower and can mow the field in 75 minutes.

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A forest ranger wants to estimate the probability of catching a bass in a lake when using a special type of bait. Describe a process the ranger could use to estimate the probability of catching a bass in the lake.

Answers

The probability of catching a bass in the lake is given by:

Probability = probability 1 × probability 2

How to calculate the probability of catching a bass?

Since the forest ranger caught a fish from his prior fishing experience, we can infer that he has a probability of catching a bass in a lake:

Probability 1 = Number of fish caught/Number of tries

By using a special type of bait, he should calculate the probability of catching a fish as follows:

Probability 2 = Number of fish caught/Number of tries

Therefore, the probability of catching a bass in the lake is given by:

Probability = probability 1 × probability 2

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Solve for x using
cross multiplication.
3x + 6
4
=
4x - 3
5
x = [?]
Enter

Answers

Answer:

x = 42

Step-by-step explanation:

Cross multiplying is done as follows:

the denominator of the second fraction is multiplied with the numerator of the first equation and denominator of the first fraction is multiplied with the numerator of the second equation

5(3x+6) = 4(4x-3) multiply inside the parenthesis

15x + 30 = 16x - 12 transfer like terms to same side of the equation

30 + 12 = 16x - 15x

42 = x

Calculating Volume of a Composite Figure 2 rectangular pyramids are connected at their bases. The total height of the 2 figures if 10 units. The base edge lengths are 9 units and 1.5 units. The height of each pyramid is 5 units. Which statements about the composite figure are true? Check all that apply. The composite figure consists of two rectangular pyramids. The composite figure can be broken down into rectangular prisms. The volume of the composite figure is 1.5(9)(5) + 1.5(9)(5). The total volume is 45 units3. The total volume is 90 units3.

Answers

The answer which are true about the two rectangular pyramids are;

The composite figure consists of two rectangular pyramids.The composite figure can be broken down into rectangular prisms.The volume of the composite figure is 1.5(9)(5) + 1.5(9)(5).

Which statements about the composite figure are true?

It follows from the task content that the dimensions of the rectangular prisms are the same and are as given.

On this note, it follows that the volume of the composite figure is; 1.5(9)(5) + 1.5(9)(5) = 135units³.

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If BE−→− bisects ∠ABD and m∠ABD = 66°, find m∠ABE.

Answers

Answer:

∠ABE = 33°

Step-by-step explanation:

Angle bisector:

        Angle bisector is a straight line that divides the angle into two congruent (equal) angles.

So, BE bisects the ∠ABD into two equal angles.

⇒∠ABE will be half of ∠ABD

∠ABD = ∠ABE + ∠BED

66°     = ∠ABE + ∠ABE

66      = 2∠ABE

∠ABE = 66/2

∠ABE = 33°

f(x) = (two-fifths) Superscript x

g(x) = (two-fifths) Superscript x – 3

Which statement about f(x) and its translation, g(x), is true?

The range of g(x) is , {y | y > 0} and the range of f(x) is {y | y > –3}.
The range of g(x) is , {y | y > 3} and the range of f(x) is {y | y > 0}.
The asymptote of g(x) is the asymptote of f(x) shifted three units down.
The asymptote of g(x) is the asymptote of f(x) shifted three units up.

Answers

Answer: The asymptote of g(x) is the asymptote of f(x) shifted three units down.

Step-by-step explanation:

Answer:

The asymptote of g(x) is the asymptote of f(x) shifted three units down.

Step-by-step explanation:

bc I said so

Alice and Bob both go to a party which starts at $5:00$. Each of them arrives at a random time between $5:00$ and $6:00$. What is the probability that the number of minutes Alice is late for the party plus the number of minutes Bob is late for the party is less than $45$

Answers

The probability comes out to be 9/32.

Deducing Arrival Time Possibility

All the possible arrival times by Alice and Bob, in minutes after 5 PM, is constrained by the values of given values of x and y,

x = 0, y = 0, x = 60, y = 60.

Here, let the values of x represent how many minutes after 5 PM Alice arrives at the party.

Let the y values represent the time in minutes that Bob arrives at the party after 5 PM.

Calculating the Required Probability

The times that concern us, however, are obtained by the following probability function,

x + y ≤ 45.

And x = 0, y = 0, and x + y ≤ 45 define the constraints of this probability function. Thus the perimeter of such a graph will be given as,

(45² / 2) = 1012.5 square units

Since the total area of the various arrival times is 60 x 60, or 3600 square units, the probability that Alice and Bob will arrive together after 5 o'clock in the evening in less than 45 minutes is therefore = 1012.5 / 3600 = 9/32

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Please help


!!!!!!!!!!!!!!

Answers

Answer: Option (2)

Step-by-step explanation:

[tex]DE=\sqrt{(-a-b-0)^2 + (c-2c)^2}=\sqrt{(a+b)^2 + c^2}[/tex]

Green’s Sport Shop offers its salespeople an annual salary of $10,000 plus a 6% commission on all sales above $20,000. Every employee receives a Christmas bonus of $500. What are Mr. Cahn’s total earnings in a year in which his sales amounted to $160,000?

(A) $18,900
(B) $18,400
(C) $19,600
(D) $20,100

Answers

The total earnings for the year is $18,900.

What is the total earnings?

The total earnings is a sum of the annual salary, commission and Christmas bonus.

Commission = 6% x (160,000 - 20,000) =

6% x $140,000

0.06 x 140,000 =  $8,400

Total earnings =  $8,400 + 10,000 + $500 = $18,900

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For the following distribution: x p(x) 0 01.30 1 0.346 2 0.346 3 0.154 4 0.026 what is the mean of the distribution?

Answers

The mean of the distribution given is 0.569.

Given some distribution like under:

     x                           p(x)

     0                            0.650

     1                             0.216

     2                             0.087

     3                             0.026

     4                             0.014

      5                            0.009

We have to find the mean of the distribution.

Mean is the sum of numbers divided by the numbers which are taken into consideration. It is also known as average.

Mean=sum/n

To find the mean of distribution we have to find sum of x*p(x)

∑xp(x)=0*0.650+1*0.216+2*0.0087+3*0.026+4*0.014+5*0.009

=0+0.216+0.174+0.078+0.056+0.045

=0.569

Hence the mean of the distribution given in the question is 0.569.

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Distribution in the given question is wrong and the right question is as the right distribution is as under:

 x                           p(x)

     0                            0.650

     1                             0.216

     2                             0.087

     3                             0.026

     4                             0.014

     5                            0.009

Given: AD is parallel to BC
Prove: DC = 6 units
Which step is missing?

Answers

answer is C - △DAC ≅ △BCA by ASA

To prove DC = 6 units the missing step is ΔDAC ≅ ΔBCA by ASA.

Option C is the correct answer.

What is triangle congruency?

There are ways to prove that two triangles are congruent.

- Side-Side-Side (SSS) Congruence.

The three sides of one triangle are equal to the corresponding three sides of another triangle.

- Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

- Angle-Side-Angle (ASA) Congruence.

The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

- Angle-Angle-Side (AAS) Congruence.

We have,

AD is parallel to BC

From the figure and the given information,

We have,

∠DAC ≅ ∠BCA

 AC ≅ AC∠DCA ≅∠BAC

This means,

Angle-Side-Angle (ASA) Congruence

ΔDAC ≅ ΔBCA

Thus,

To prove DC = 6 units the missing step is ΔDAC ≅ ΔBCA by ASA.

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Which equation describes this graph?

A. y=−2x
B. y=−2x−3
C. y=−2x+3
D. y=−3x−3

Answers

Answer:

D

Step-by-step explanation:

if you look the point on the y axis is -3 which is your starting point

in y=mx+b m is the slope

Help me in this question please dont put wrong answers!

Answers

Step-by-step explanation:

Has greater balance = Heba

Has more debt = Nour

Read the "note" thing on there

it says banks use Negative balances meaning the negative sign ( minus sign) to represent an account with debt which means an account that is owning money e.g -$11, -$15 etc.

And they use positive balances meaning the positive sign to represent account that contains valuee.g $2, $7 etc( You might wonder why I didn't put a positive sign on it, the reason is because it's already a positive number so no need to add a positive sign (+) to it)

( BUT they can still add a positive sign to it but it isn't necessary )

If you see any number or amount without a negative sign (-) then that number or amount is positive e.g 1, 2,3,4,5,6,11,14,17,20,100,8, $3, $15, $23 and so on..

Hope this helps.Good luck ✅.

Using the number line:

Heba has the greater account balance

Nour has the most debt.

What is a Number Line?

A number line shows where a number lies according to the order. Values greater than 0 and are on the right side are greater than values and vice versa.

Given their balances, $29.17 is greater than -$11.99. Therefore, Heba has the greater account balance using the number line.

Since - indicates debt, Nour has the most debt.

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Patrick is a white american who typically only thinks about his irish ethnicity on st. patricks day. patricks irish ethnicity is largely:________ Why would someone choose a 10-year term length on a student loan, rather than a 25-year length? Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?y x2 3y > x2 + 2 Newly formed B cells which bind to autoantigens (self-antigens) will undergo apoptosis. This process is known as: A customer purchases on credit for $1,250 worth of merchandise, terms 4/15, n/30. If the customer pays within the discount window, how much will they remit in cash to the seller 4. Find the solution to the equation below.please finishthisproblem Describe the similarities and differences between solving an absolute value equation and solving an absolute value inequality. a. Find the linear approximating polynomial for the following function centered at the given point a. b. Find the quadratic approximating polynomial for the following function centered at the given point a. c. Use the polynomials obtained in parts a. and b. to approximate the given quantity. Power Drive Corporation designs and produces a line of golf equipment and golf apparel. Power Drive has 100,000 shares of common stock outstanding as of the beginning of 2024. Power Drive has the following transactions affecting stockholders' equity in 2024. March 1 Issues 63,000 additional shares of $1 par value common stock for $60 per share. May 10 Purchases 5,800 shares of treasury stock for $63 per share. June 1 Declares a cash dividend of $1.90 per share to all stockholders of record on June 15. (Hint: Dividends are not paid on treasury stock.) July 1 Pays the cash dividend declared on June 1. October 21 Resells 2,900 shares of treasury stock purchased on May 10 for $68 per share. Power Drive Corporation has the following beginning balances in its stockholders' equity accounts on January 1, 2024: Common Stock, $100,000; Additional Paid-in Capital, $5,300,000; and Retained Earnings, $2,800,000. Net income for the year ended December 31, 2024, is $680,000. Required: Prepare the stockholders' equity section of the balance sheet for Power Drive Corporation as of December 31, 2024. please help!!! Based on the cartoon, which of the following conclusions can be drawn?A.Union leaders worked to increase benefits for the common worker using two means: violence and illegal tactics.B.Workers were hesitant to strike for fear of losing jobsC.Workers had two unfavorable conditions: government regulation of business and the dangers of unions.D.Union leaders did little to help individual workers and instead took strides to benefit only themselves and their government supporters The student inquires about antipsychotic medications. Which response describes the factors that contribute to reduced risk of extrapyramidal symptoms (eps) for patients who take antipsychotics? SOLVE ASAP X + x/3 = 4/9solve for x!! List the order of the sentences that would create the most logical and coherent flow of ideas.[1] Hares are remarkably quick, and no dog but a greyhound could overtake one in a race. [2] It feeds upon clover, apples, and other fruits, and will often sit for hours in some snug covered place quietly chewing its cud. [3] It is a harmless and innocent creature, such that few have the heart to do it injury. [4] There is another kind of rabbit, commonly referred to as a hare, which runs wild in the woods and fields. [5] This is just as well, since rabbits do not have much in the way of defense and prefer to run away from threats. [6] The Rabbit is a very pretty animal that lives around houses and barns in a state of friendship with all around it. The function (x) = (?)* is shown on the coordinate plane. Select the drop-down menus to correctly describe the end behavior of f (x) 1. As x decreases without bound, the graph of f (x) A. Increases without bound. B. Approaches y=0 C. Decreases without bound 2. As x increases without bound, the graph of f (x) A. Approaches y=0 B. Increases without bound C. Decreases without bound what is 4x-5/3+2x=7+2/9x+2 Read the excerpt from The Woman in White.The ruling idea of his life appeared to be, that he was bound to show his gratitude to the country which had afforded him an asylum and a means of subsistence by doing his utmost to turn himself into an Englishman. Not content with paying the nation in general the compliment of invariably carrying an umbrella, and invariably wearing gaiters and a white hat, the Professor further aspired to become an Englishman in his habits and amusements, as well as in his personal appearance. Finding us distinguished, as a nation, by our love of athletic exercises, the little man, in the innocence of his heart, devoted himself impromptu to all our English sports and pastimes whenever he had the opportunity of joining them; firmly persuaded that he could adopt our national amusements of the field by an effort of will precisely as he had adopted our national gaiters and our national white hat.Which response accurately explains the writing device that the author uses in this section?The Woman in White The author uses humor to describe a foreign professor who has taken on English customs with such enthusiasm that it is sometimes comical. The author uses understatement to highlight the professors love for England by mentioning it in a way so subtle and tactful that it actually stands out more. The author uses sarcasm to describe the professors love for England, when in fact the opposite is true and the professor is mocking England. The author uses satire to mak What is the purpose of the package dependencies, such as those we declare in pubspec.yaml? Prove: An odd plus an oddequals an even.(2m + 1) + (2n + 1) = [ ? ]m + [ ]n + [ ]= 2(m+n+ [])= even Mandell, Douglas and Bennett's Principles and Practice of Infectious Diseases, Fifth Edition, Infectious Diseases, The Sandford Guide to Antimicrobial Therapy 2000, Thirteenth Edition 6. a. Sixty students in a class took an examination in Physics and Mathematics. If 17 of them passed Physics only, 25 passed in both Physics and Mathematics and 9 of them failed in both subjects, find i. the number of students who passed in Physics ii. the probability of selecting a student who passed in Mathematics 17