the quotient of 7 subtracted from a number c and 4

Answers

Answer 1

The quotient of 7 subtracted from a number c and 4 which is 2 , 4 +3 = 7  and c=3. The quotient is the outcome of splitting two numbers.

What is meant by quotient?In mathematics, the quotient is the result of performing division operations on two numbers. It is essentially the outcome of the division procedure. In arithmetic division, the terms divisor, dividend, quotient, and remainder are employed in four different ways.A quotient in mathematics is the amount created by dividing two numbers. n mathematics, the word "quotient" is widely used, and it is sometimes referred to as the integer part of a division, a fraction, or a ratio. The quotient is the outcome of splitting two numbers.

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Related Questions

Solve. ln(–x + 1) – ln(3x + 5) = ln(–6x + 1) –0.67 or 2 option 1 –1.58 or 0.14 option 2–0.14 or 1.58 option 3–2 or 0.67 option 4

Answers

SOLUTION

We want to solve

[tex]\ln \mleft(-x+1\mright)-\ln \mleft(3x+5\mright)=\ln \mleft(-6x+1\mright)[/tex]

This becomes

[tex]\begin{gathered} \ln (-x+1)-\ln (3x+5)=\ln (-6x+1) \\ \ln (-x+1)-\ln (3x+5)-\ln (-6x+1)=0 \\ \text{From laws of logarithm } \\ \ln \frac{(-x+1)}{(3x+5)}\times\frac{1}{(-6x+1)} \\ \ln \frac{(-x+1)}{(3x+5)(-6x+1)}=0 \end{gathered}[/tex]

Since ln 1 = 0, we have

[tex]\begin{gathered} \ln \frac{(-x+1)}{(3x+5)(-6x+1)}=\ln 1 \\ \text{Canceling }\ln ,\text{ we have } \\ \frac{(-x+1)}{(3x+5)(-6x+1)}=1 \\ (-x+1)=(3x+5)(-6x+1) \end{gathered}[/tex]

Expanding the equation in the right hand side we have

[tex]\begin{gathered} (-x+1)=(3x+5)(-6x+1) \\ (-x+1)=-18x^2+3x-30x+5 \\ -x+1=-18x^2+3x-30x+5 \\ -18x^2+3x-30x+5=-x+1 \\ -18x^2+3x-30x+x+5-1=0 \\ -18x^2-26x+4=0 \end{gathered}[/tex]

Solving the quadratic equation we have

[tex]-18x^2-26x+4=0[/tex]

We have

[tex]x=-1.58\text{ or }x=0.14[/tex]

Hence, the answer is option 2

Given the sum of the interior angles is 12,600 of a regular polygon, determine the following:

The number of sides =
Each interior angle =
Each exterior angle =
Sum of the exterior angles =

Answers

Answer:

72 sidesinterior angle: 175°exterior angle: 5°exterior angle total: 360°

Step-by-step explanation:

Given a regular polygon whose interior angles total 12,600 degrees, you want to know the number of sides, the measures of each interior and exterior angle, and the sum of the exterior angles.

Angle sum

The sum of angles of a convex polygon is given by the formula ...

  angle sum = 180° × (n -2)

where n is the number of sides.

Application

Substituting the given angle sum, we can solve for n:

  12,600 = 180(n -2)

  70 = n -2 . . . . . divide by 180

  72 = n . . . . . . . add 2

The regular polygon has 72 sides.

Interior angle

The interior angles of a regular polygon are congruent, so each one is ...

  12,600°/72 = 175°

Each interior angle = 175°.

Exterior angle

The exterior angle at a vertex is the supplement of the interior angle there:

  180° -175° = 5°

Each exterior angle = 5°.

Sum of exterior angles

The 72 exterior 5° angles have a total of ...

  72 × 5° = 360°

Sum of the exterior angles = 360°.

__

Additional comment

The invariant with convex polygons, regular or not, is that the sum of exterior angles is 360°. This fact is what gives rise to the formula for interior angles.

HELP PLEASEEEEEEEEE!!!!!!!! ILL MARK BRAINLIEST

Answers

Answer:

(-3)³, (-2)⁴, (-2)³, 3⁰, -3², -2⁴

help! its due tomorrow

Answers

For Question 1,

(a) Teammates eye-level depths in order from lowest to highest:

-3.5 ft < -3 ft < 0 ft < 1.5 ft

(b) Comparison between Teammate B and teammate D depths:

-3.5 ft < -3 ft

so, eye level depth of Teammate B < Teammate D.

For Question 3,

The options given to the designer are:

1 3/4 and 1 5/12

On simplifying these fractions,

1 3/4 = 7/4

1 5/12 = 17/12

On taking the LCM of the denominator of 4 and 12, we get LCM as 12,

So, 7/4 = 21/12

Now, on comparing the two distances,

21/12 > 17/12

(a) So, the distance of 17/12 is closest to the slide.

(b) On comparing the two distances,

we get,   21/12 > 17/12

(c) 17/12 will lie in between 1 and 1 1/2 on the number line whereas 21/12 will lie in between 1 1/2 and 2 on the number line.

What is Number Line?A number line, used to represent the real numbers visually in early mathematics, is a drawing of a graduated straight line. It is presumptively true that each real number and each point on a number line relate to one another. A line with carefully marked equally spaced-out points on it is frequently used to represent integers. Especially when negative numbers are involved, it is frequently used as a teaching tool for basic addition and subtraction. The set R of all real numbers, considered as a geometric space, namely the Euclidean space of dimension one, is the formal definition of the number line, often known as the real line or real number line in advanced mathematics.

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help meeee pleasee!!!



thank youu

Answers

Answer:

Domain: A, [1, 7]

Range: [-4, 2]

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

ANGLES what is x,need quick please

Answers

Answer: x = 68

Step-by-step explanation:

Because the 22 degrees and x make up a complementary angle (add up to 90 degrees) we can subtract 22 from 90 to get x.

90-22 = 68

Hello, I need some assistance with this homework question, please? This is for my precalculus homework. Q8

Answers

Part A (Domain and Range)

Domain

The domain is the set of all the values of x for which the function represented by the graph is defined. From the graph:

(A)The domain of the function is:

[tex]\lbrace x|-\inftyRange

The range is the set of all the values of y for which the function represented by the graph is defined. From the graph:

(A)The range of the function is:

[tex]\lbrace y|-\inftyPart B (Intercepts)

(A)The x-intercepts of the function are:

[tex]x=1.4,-1.4[/tex]

(A)The y-intercept of the function is:

[tex]y=-1[/tex]

Part C

The horizontal asymptote is at:

[tex](A)y=-2[/tex]

Part D

The vertical asymptotes are at:

[tex](A)x=-2,2[/tex]

Part E

The oblique asymptote is usually slant.

From the graph, there are no obliques asymptotes.

Option B is correct here.

Select the expressions that are equivalent to - 7(f - 4).

Answers

you can multiply each term of the parentheses by -7

[tex]\begin{gathered} -7(f-4) \\ (-7\times f)+(-7\times-4) \\ -7f+28 \end{gathered}[/tex]

Write the ratio as a ratio of whole numbers in lowest terms $2.00 to $0.80

Answers

Answer is 5:2

Ratio given is $2.00 : .80

To simplify, you can move your decimal point over 2 to the right to remove the decimals and then simplify

2.00 ➡️ 200
.80 ➡️ 80

200:80 divide both by 40

5:2 is your simplified ratio

i dont know how to do these please help​

Answers

Answer:

Step-by-step explanation:

the formula for this is PV= nRT

where, P=Pressure, V= Volume, n = Number of moles, R= Molar gas constant, T=Temperature

for this question, P AT S.T.P= 101325 Nm^-2, V= ?, n= 1.35 mol, R= 8.31,

T= 273k

fixing the values into the formula we have,

[101325][V]=[1.35][8.31][273]

make V the subject of formula

V= [1.35][8.31][273]/101325

V= 3062.65/101325

V= 0.03 cm^3

Select the correct answer.
What is the completely factored form of this polynomial?
x² + 12x²+32
OA.
O B. (x²+4)(x² + 8)
(x + 4)(X + 8)
O C.
O D.
(x²+4)(x + 2)(x + 4)
(x + 2)(x-2)(x² + 8)
G
Reset

Answers

Factor form of the polynomial (x+8)(x+4)

What is Polynomial?

A polynomial is an equation made up of coefficients and indeterminates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x.

Given polynomial,

x² + 12x+32

x² + 4x + 8x +32

x(x+4) + 8(x+4)

(x+8)(x+4)

Hence, The completely factored form of this polynomial is (x+8)(x+4)

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Find the exact value using a half angle identity: cos 7 pi/8

Answers

Answer:

[tex]\cos \frac{7\pi}{8}=-\frac{1}{2}\sqrt[]{2+\sqrt[]{2}}[/tex]

Explanation:

Given

[tex]\cos \frac{7\pi}{8}[/tex]

Using the identity:

[tex]\begin{gathered} \cos (\frac{7\pi}{2\times4})=\pm\sqrt[]{\frac{1+\cos\frac{7\pi}{4}}{2}} \\ \\ =-\sqrt[]{\frac{1+\frac{1}{\sqrt[]{2}}}{2}} \\ \\ =-\sqrt[]{\frac{2+\sqrt[]{2}}{4}} \\ \\ =-\frac{1}{2}\sqrt[]{2+\sqrt[]{2}} \end{gathered}[/tex]

Put the number or question when You answer

Answers

7) 43/36 or 1 7/36 in mixed form

8) 17/20

9) 25/4 or 1 1/24 in mixed form

10) 27/28

11) 5/6

12) 17/48

What are the correct answers the drop down both say negative or positive

Answers

Given the data set:

(-8,-10) (6, -1), (-5,-7),(3, -2) (10, 0) (4,-3) (-3,-6) , (9, 1)

We will graph the points to find the slope of the line of best fit for the data

The graph will be as shown in the following figure:-

As shown, the given points are the dots of blue color

The line of best fit is the dashed red line

As shown, the line has a positive slope and a negative y-intercept

So, the answer will be:

The line of best fit for the data will have a positive slope and a negative y-intercept value.

Find the least common multiple (LCM) of 12 and 18

Answers

Answer:

0.0[infinitely reprating] 1 is the smallest

Answer:

36

Step-by-step explanation:

LCM of 12 and 18 is the smallest number among all common multiples of 12 and 18. The first few multiples of 12 and 18 are (12, 24, 36, 48, 60, 72, 84, . . . ) and (18, 36, 54, 72, . . . ) respectively

if log2 5=x and log2 3=y, determine an expression in terms of x ,y, and integers. the first is log 2 20

Answers

[tex]\log _25\text{ = x}[/tex][tex]\log _23\text{ = y}[/tex]

[tex]\log _220=log_2(4\cdot5)=log_2(4)+log_2(5)\text{ = }2\text{ + x}[/tex]

Answer:

[tex]\log _220\text{ = 2 + x}[/tex]

Logarithm base 2 of a number, is the number you have to use as a power of two to get that number, for example, logatithm base 2 of 4 is 2, because 2 to the power of 2 is 4, another example, logarithm base 2 of 8 is 3, because 2 to the power or 3 is 8

[tex]\log _2(4)=2because2^{2\text{ }}=4[/tex][tex]\log _2(8)=3because2^{3\text{ }}=\text{ 8}[/tex]

Homework 3.4: Compound InequalitiesScore: 10.38/1811/18 answeredQuestion 6<>04Give the interval that describes the set of values shown above.

Answers

Give the interval that describes the set of values shown above

The interval marked in blue has the following features:

* Starts with a filled blue dot at x=2

* Ends with a filled blued dot at x=4

* Runs from x=2 to x=4 with a blue line

The filled dots indicate that the endpoints are included in the interval

The line indicates that all the values in between the interval are included in the interval

There are two basic forms to indicate an interval with included endpoints:

* A pair of values (the endpoints) comma-separated included in a pair of brackets:

Interval: [2,4]

* The closed interval indicated by inequalities signs:

[tex]2\leq x\leq4[/tex]

In the diagram, CD 1 AC, BE 1 AC, AE = 17, BE = 8, and CD = 32. Find DE. 32 D В E 8 17 A 45 51 O 68 O 35 Question 3 1 pts a HE

Answers

Input data

AE = 17

BE = 8

CD = 32

Procedure

[tex]\begin{gathered} \frac{AD}{AE}=\frac{CD}{BE} \\ \frac{AD}{17}=\frac{32}{8} \\ AD=17\cdot\frac{32}{8} \\ AD=68 \end{gathered}[/tex]

Now for DE

[tex]\begin{gathered} AE+DE=AD \\ DE=AD-AE \\ DE=68-17 \\ DE=51 \end{gathered}[/tex]

The answer would be DE=51

Find the average rate of change of f(x) = x°-2x² +3+ 3x from x=1 to x=3.Simplify your answer as much as possible.

Answers

The average rate of change for a function f(x) from x=a to x=b is:

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

For the given function:

[tex]f(x)=x^3-2x^2+3x[/tex]

Averate rate of change from x=1 to x=3:

[tex]\begin{gathered} \frac{f(3)-f(1)}{3-1}=\frac{(3^3-2(3)^2+3(3))-(1^3-2(1)^2+3(1))}{3-1} \\ \\ =\frac{(27-2(9)+9)-(1-2+3)}{2} \\ \\ =\frac{(27-18+9)-(2)}{2} \\ \\ =\frac{18-2}{2} \\ \\ =\frac{16}{2} \\ \\ =8 \end{gathered}[/tex]Then, the averate rate of change for the given function from x=1 to x=3 is 8

Find the missing coordinates to complete the following ordered-pair solutions to the given linear equation.y + 4x = 6(a) (-1, )(b) (4, )....

Answers

SOLUTION

Write out the given linear equation

[tex]y+4x=6[/tex]

For the first ordered pair,

[tex]\begin{gathered} (-1,\text{?)} \\ x=-1,y=\text{?} \end{gathered}[/tex]

Substitute the value of x into the linear equation to find the value of y

[tex]\begin{gathered} y+4x=6 \\ y+4(-1)=6\ldots\text{.}\ldots(\text{expand the paranthesis )} \\ y-4=6\ldots\ldots(\text{add 4 to both sides )} \\ y-4+4=6+4 \\ y=10 \\ \text{The ordered pair is (-1,10)} \end{gathered}[/tex]

a). Therefore For the first ordered pair, the missing coordinate y is 10

Similarly, for the second ordered-pair

[tex]\begin{gathered} (4,\text{?)} \\ x=4,y=\text{?} \end{gathered}[/tex]

Substitute the value of x into the linear equation to obtain the value of y

[tex]\begin{gathered} y+4x=6 \\ y+4(4)=6 \\ \text{Expand the parenthesis} \\ y+16=6 \\ \text{subtract 16 from both sides } \\ y+16-16=6-16 \\ y=-10 \\ \text{Ordered pair=(4,-10)} \end{gathered}[/tex]

b). Therefore for the second ordered pair, the missing coordinates y is -10

The business checking account for a pottery store had a balance of $7349.44 before checks for $1349.67 and $344. 12 were written the store manager then made a deposit of $955.30. Findthe current checkbook balance.

Answers

Solution

For this case we can solve the problem with the following operation:

7349.44 -1348.67 -344.12 + 955.30 = 6611.95$

positive exponents.2) (22). 2)

Answers

To find the result we are going to use the following rule:

[tex](a^m)^n=a^{mn}[/tex]

and

[tex]a^m\cdot a^n=a^{m+n}[/tex]

Then:

[tex]\begin{gathered} ((2^2)^4\cdot2^3)^4=(2^8\cdot2^3)^4 \\ =(2^{11})^4 \\ =2^{44} \end{gathered}[/tex]

Therefore the result is:

[tex]2^{44}[/tex]

Help mee pleasee!!




thank you <3

Answers

The linear equation that models the average price of a new home in terms of the year x is given by y = -5600x + 294000 and the average price of a new home would be $238000 in 2014.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The line must pass through points (0, 294000) and (7, 288400) which is given in the question.

We have to determine the slope of the line :

m = (y₂ - y₁)/(x₂ -x₁ )

m = (288400- 294000)/(7 -0)

m = -5600

This represents new home per year

So with your y-intercept of 294000, your equation becomes

y = -5600x + 294000

Using this equation to predict the average price of a new home in 2014.

Let y be the average price of a new home in the year x, where x = 0 represents the year 2004.

Substitute the value of  x = 10 for the year 2014

y = -5600(10) + 294000

y = -56000 + 294000

y = 238000

Hence, the average price of a new home would be $238000 in 2014.

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I need help with my work

Answers

In order to determine the price per orange, calculate the quotient in between 3.78 and 14:

3.78/14 = 0.27

Hence, one orange costs $0.27

The amount of $In each The amount of $ Total

Answers

Let Lydia invest $x

Half of her stock pays 11% dividend.

So mathematically the amount will be

[tex]\frac{x}{2}\times\frac{11}{100}=\frac{11x}{200}[/tex]

With the other half, she pays stocks in 14% interest

So mathematically

[tex]\frac{x}{2}\times\frac{14}{100}=\frac{14x}{200}[/tex]

Her total annual interest is $420

So

[tex]\frac{11x}{200}+\frac{14x}{200}=420\Rightarrow25x=84000\Rightarrow x=3360[/tex]

She invested $3360 in total

And $1680 in each.

What's the next term in the sequence of 1, 8, 27, 81, 243?

Answers

The next term in the sequence of 1, 8, 27, 81, 243 is 729.

What is a sequence?

Sequences are ordered collections of numbers, often known as "terms," such as 2,5,8. There are some sequences that adhere to a particular pattern that allows for endless extension. For instance, 2,5,8 adheres to the "add 3" pattern, thus we may now continue the process. There are formulas for sequences that show us where to find any given term.

It might be good to separate each phrase into its component parts to solve this problem:

1, or 3^0, is a factor of 1.

8 is 2^3

27 is 3^3

81 is 3^4

243 is 3^5

The likelihood of the following phrase is 3^6, or 729.

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Scott is 72 inches tall and Chris is 185 centimeters tall. Who is taller? Show your work. How do we convert this?

Answers

SOLUTION:

Step 1:

In this question, we are given the following:

Scott is 72 inches tall and Chris is 185 centimeters tall.

Who is taller? Show your work.

Step 2:

Scott is 72 inches tall

and

Chris is 185 centimeters tall

Converting cm to inches, we have that:

[tex]\begin{gathered} 1\operatorname{cm}\text{ = }0.393701\text{ inch} \\ 185\text{ cm = 185 x 0.393701 = }72.\text{ 834685 }\approx\text{ 72. 8 inch} \end{gathered}[/tex]

CONCLUSION:

Since Chris' height = 72.8 inch tall and Scott's height = 72 inch tall

Hence, Chris is taller.



In a study of bluetits 12 birds were trapped and their masses and wing spans were measured. The data collected are shown in this table. Calculate the estimated standard deviation for the mass of the bluetits, showing your answer to 3 significant figures.

Answers

The standard deviation of the mass of the bluetits to 3 significant figures is 1.30.

What is the standard deviation?

Standard deviation is used to determine the variation of a dataset. Standard deviation is the spread of a data from the mean of the dataset. The higher the value of the standard deviation, the greater the spread of the dataset.

In order to determine the standard deviation, take the following steps:

Determine the mean of the mass : (9.9 + 9.8 + 12.2 + 13.3 + 11.8 + 10.2 + 12. 3 + 12.9 + 9.2 + 10.3 + 10.7 + 12.1) / 12 = 11.225

Determine the difference between each value and the mean and then square the result and then find the square root. The answer gotten is the standard deviation. 1.30

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11x+4<15 or 12x-7>25

Answers

Answer:

Step-by-step explanation:

11x + 4 < 15 or 12x - 7 > 25

      -4   -4              +7   +7

  11x < 11    or     12x > 32

11 (divide) 11  |  12 (divide) 12

x < 1 or x > 2.7

hope this is right!

If (ax + 3)(bx + 4) = 6x 2+ cx + 12 for all values of x, and a + b = 5, what are the two possible values for c ?

Answers

Answers:  c = 17 and c = 18

==================================================

Explanation:

Let's expand out the left hand side and rearrange terms like shown in the steps below.

(ax + 3)(bx + 4) = 6x^2 + cx + 12

ax(bx + 4)+3(bx + 4) = 6x^2 + cx + 12

abx^2 + 4ax+3bx + 12 = 6x^2 + cx + 12

abx^2 + (4a+3b)x + 12 = 6x^2 + cx + 12

Then equate the corresponding coefficients

ab = 6 .... x^2 terms4a+3b = c .... x terms

We'll use the fact that a+b = 5. Solving for 'a' gets us a = 5-b

Plug this into the equation dealing with the x^2 coefficients.

ab = 6

(5-b)b = 6

5b-b^2 = 6

0 = b^2-5b+6

b^2-5b+6 = 0

(b-3)(b-2) = 0

b-3 = 0 or b-2 = 0

b = 3 or b = 2

If b = 3, then a = 5-b = 5-3 = 2

If b = 2, then a = 5-b = 5-2 = 3

Therefore, the solutions to this system of equations

[tex]\begin{cases}a+b = 5\\ab = 6\end{cases}[/tex]

are (a,b) = (2,3) and (a,b) = (3,2)

In other words, the answer to the question "what two numbers multiply to 6 and add to 5?" is "2 and 3". The order doesn't matter which is why we can flip the 'a' and b values.

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

Go back to 4a+3b = c which was us equating the x coefficients.

This is the same as c = 4a+3b

Plug in a = 2 and b = 3

c = 4a+3b

c = 4*2+3*3

c = 8 + 9

c = 17 is one possible value of c.

Now let's plug in a = 3 and b = 2

c = 4a+3b

c = 4*3+3*2

c = 12 + 6

c = 18 is the other possible value of c.

Other Questions
draw a picture to solve. Mandi has 8 dog biscuits. She has 7 dog bowls. Each dog bowl gets the same number of dog biscuits. How many dog biscuits are in each bowl? Cracks in rocks widen as water in them freezes and thaws. How does this affect the surface of the earth?. DOES ANYONE KNOW LATIN PLS HELP TRANSLATE IN ENGLISHin tabula videtis romam et imperium romanorum. romani romam incolunt. provincias imperii romanorum videtis. galliam videtis. romani gallos in bellis vicerunt. gladii non sunt in oppidis gallorum quod galli post bellum gladios romanis dederunt. itaque post victorias romanorum provincia in gallia est. provinciam galli et romani incolunt. pericula sunt in silvis galliae, quod galli non sunt amici romanorum. galli sunt servi romanorum, quod romani gallos vicerunt. itaque galli emperium romanorum non laudant, sed romani propter gloriam belli imperium laudant.in tabula videtis romam et imperium romanorum. romani romam incolunt. provincias imperii romanorum videtis. galliam videtis. romani gallos in bellis vicerunt. gladii non sunt in oppidis gallorum quod galli post bellum gladios romanis dederunt. itaque post victorias romanorum provincia in gallia est. provinciam galli et romani incolunt. pericula sunt in silvis galliae, quod galli non sunt amici romanorum. galli sunt servi romanorum, quod romani gallos vicerunt. itaque galli emperium romanorum non laudant, sed romani propter gloriam belli imperium laudant. When the sponsor-investigator holds the IND for an investigational drug he or she is responsible for annual reporting of __________ to FDA? How were the Franks connected to the Catholic Church? The maximum speed of a car on a trip is 60 miles per hour. Write and solve an inequality that represents the number of hours the car takes to travel 180 miles. Explain the conditions that promote the growth of foodborne pathogens and identify at least three areas that are vulnerable in Kenneths store. What could he do to prevent pathogens from growing on food in his store?Will give brainiest 9,891 points the obama administrations stamp on federalism has been to emphasize _____ among the states or cities for federal funds this box is packed with cubes that measure one cubic footenter the volume of the box in cubic feer Anyone know the answer Bienville implemented the Code Noir to regulate the slaves.TrueFalse Koreys comic book store has been up and running for 4 years. Korey feels that his store has been successful and is considering moving to a larger property to allow for greater inventory and customer opportunities in his business. He would like investors to cover the cost of his expansion. The profits of Koreys comic book store for its first four years are outlined below. According to this information, what would be the best estimate for Korey to quote as expected profits in the next year in his new business plan? Year Net Profits 1 $14,250.00 2 $15,390.00 3 $16,621.20 4 $17,950.90 5 a. $20,550.19 b. $19,090.90 c. $19,280.60 d. $19,386.97 all of its output energy is absorbed in a detector that measures a total energy of 0.53 j over a period of 34 s . how many photons per second are being emitted by the laser? Which of the following events are in the correct order?A) Mayflower Compact, Seven Years War, Intolerable Acts, Magna CartaB) Stamp Act, Boston Massacre, Intolerable Acts, Lexington and ConcordC) Magna Carta, Proclamation of 1763, Seven Years War, Townshend ActD) Pontiac's Rebellion, Olive Branch Petition, Declaration of independence,Mayflower Compact If x = a/b (with a b and b 0), then express a+b/a-b in terms of x. a-software company is hiring an engineer and a manager. How many ways can these positions be filled if 17 people apply for the position of an engineer and 22 people apply for the position of a manager question Solve the following equation in two different ways. Explain what you did differently.5(x + 2) = 455(x + 2) = 45 TEXT ANSWERQuestion 8Point M is the midpoint of PQ. The coordinates of P and M are given below.M(5,-2) and P(11, - 10)Based on this information, what are the coordinates of ?Show all work and provide any necessary descriptions. How did the moving assembly line affect the production of Model T automobiles?How did Henry Fords business impact the state of Michigan? What did Martin Luther King Jr believe made a successful protest A. Non-violent demonstrations against things he thought were unfairB. Non-violent actions in places where the police supported their right to protestC. Whatever it took to create changeD. By working with Bull Connor to organize demonstrations