-3x+ 7 = -2
what is x?

Answers

Answer 1

Answer: x = 3

Step-by-step explanation:

-3x+7= -2

     -7    -7

-3x = -9     (divide by -3) ( remember negatives cancel each other out)  

x = 3

Answer 2

Answer:

x=3

Step-by-step explanation:

The first thing that I did to solve this equation was do the opposite of the positive 7 so I subtracted 7 on both sides.

-3x + 7 = -2

      -7  = -7

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

-3x       = -9

Now we have the equation of -3x = -9. From there we will do the reciprocal of -3x so we will divide it on both sides.

-3x/-3 = -9/-3

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

x         =   3

And now we have the answer of x=3.


Related Questions

The vertex of this parabola is at (-3,-2). Which of the following could be its
equation?
A. y=-2(x + 3)2 + 2
B. y=-2(x + 3)2 - 2
c. y=-2(x-3) 2+2
D. y = -2(x-3)2-2

Answers

Answer:

B.y=-2(x+3)2-2

Step-by-step explanation:

A if false beacuse you have to put (-3,-2) into all of your equations

B is correct

C is false

D is also false

Change 95 millimeters to centimeters.

Answers

Answer:

9.5 cm

Explanation:

Answer: 9.5 centimeters

Work Shown:

10 millimeters = 1 centimeter

1 millimeter = 0.1 centimeter  (divide both sides by 10)

95 millimeters = 9.5 centimeters (multiply both sides by 95)

Which of the following is a true proportion of the figure based on the triangle proportionality theorem? answers: A) ab= dc B) ac=ad C) ab=ac D) bd=ca

Answers

Answer:

A) a/b = d/c

Step-by-step explanation:

The Triangle Proportionality Theorem states that if a line is parallel to one side of a triangle and it intersects the other two sides, then it divides those sides proportionally.

In this case, line TU is parallel to side QR. So, the ratios a:b and d:c are equal. In other words, a/b = d/c

SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

Answers

Answer:

-15,20

Step-by-step explanation:

I do not know how to explain how I did it lol :) , but I am very sure that it is correct.

I hope this help you :)

Answer:

-15, 20

Explanation:

To solve this problem we must first understand what the pattern is in the sequence. Once we understand the pattern, we can then apply it to the final known term to find the next two terms.

Take a look at the sequence given:

5, -5, 10, -10, 15,...

Let's start by figuring out how they got the second term in the sequence. To do that, identify what basic operation and number must be applied. This will reveal the pattern.

5 - first term

-5 - second term

5 ? ? = -5

5 × -1 = -5

So, this means the sequence multiplied negative one by the first term to get the second term. Therefore, the pattern should be 'multiply negative one' to get the next term. Just to be sure the pattern we found is correct, apply it to the given sequence.

5, -5, 10, -10, 15,...

5 × -1 = -5 [correct; provides the next term]

-5 × -1 = 5 [incorrect; does not provide the next term]

10 × -1 = -10 [correct; provides the next term]

-10 × -1 = 10 [incorrect; does not provide the next term]

According to the calculations shown above, the pattern we have identified ('multiply negative one') only works on every other term. Therefore, we must figure out the rest of the pattern for the remaining terms. To do that, identify what basic operation and number must be applied.

-5 - second term

10 - third term

-5 ? ? = 10

-5 × -2 = 10

So, this means the sequence multiplies negative two every other term. Therefore, the pattern should be:

multiply by negative one, multiply by negative two

However, to be sure the pattern we have identified is correct, apply it to the sequence.

5 × -1 = -5 [correct; provides the next term]

-5 × -2 = 10 [correct; provides the next term]

10 × -1 = -10 [correct; provides the next term]

-10 × -2 = 15 [correct; provides the next term]

Now that we have identified the correct pattern, let's apply it to the last term to find the next two terms.

5, -5, 10, -10, 15....

15 × -1 = -15

-15 × -2 = 20

Therefore, the next two terms in the sequence is -15, 20.

89 x (100-2) = 98 x (100-x) What should replace 'x' to make the equation true?

Answers

Answer:

x=11

Step-by-step explanation:

the 100-2=98 so you would need the 98 times 89 on both sides or something that is equal

Answer :

[tex]\bigstar\bf\:89\times (100-2)=98\times (100-x)[/tex]

[tex]:\implies\tt\:89\times 98=98\times (100-x)[/tex]

[tex]:\implies\tt\:100-x=\dfrac{89\times 98}{98}[/tex]

[tex]:\implies\tt\:100-x=89[/tex]

[tex]:\implies\tt\:x=100-89[/tex]

[tex]:\implies\boxed{\bf{\gray{x=11}}}[/tex]

A quadratic of the form -2x^2 + bx + c has roots of x = 3 + sqrt5 and x = 3 - sqrt5. The graph of y = -2x^2 + bx + c is a parabola. Find the vertex of this parabola.

Answers

Answer:

Just saying that there are links people post that scam you and this is requird by Brainly

Step-by-step explanation:

Every year, the drama club sells tickets to the school play. Last year, the club sold 75 tickets. This year, they sold
105 tickets. What percent of last years' ticket sales were this year's ticket sales?
A. 40%
B. 71%
C. 130%
D. 140%

Answers

it’s D, 140%. All you have to do is divide 105 by 75 and it will pop up as 1.4 which is 140.

Answer:

D 140%

Step-by-step explanation:

n/100 =105 divided by 75

next n times 105 = 75 x 100

105n = 7500

N =140:)

Which representation represents a proportional relationship? A x 2 4 6 8 y 6 8 10 12 B y = 2 x + 2 C On a coordinate plane, a line goes through points (negative 1, 0) and (0, 1). D x 4 7 12 15 y 8 14 24 30 A B C D

Answers

Answer:

(D)

Step-by-step explanation:

A proportional relationship is in the form of y=kx where k is the proportionality constant.

From the given options:

Consider the pairs (x,y) in Option D

(4,8),(7,14)(12,24),(15,30)

When y=8, x=4, Substituting into y=kx, we have: 8=4k and k=2When y=14, x=7, Substituting into y=kx, we have: 14=7k and k=2When y=24, x=12, Substituting into y=kx, we have: 24=12k and k=2When y=30, x=15, Substituting into y=kx, we have: 30=15k and k=2

We can see that the proportionality constant is equal for the four pairs. Therefore, the set of pairs in Option D represents a proportional relationship.

Answer:

the correct answer is D

Step-by-step explanation:

just got it right on edge 2020

Reflecting the graph of y = sin x across the yaxis is the same as reflecting it
across the x-axis.
TRUE OR FALSE

Answers

Answer:

True

Step-by-step explanation:

Answer:

TRUE

Step-by-step explanation:

This is due to the symmetry of the sin function, which states that:

[tex]sin(-x)=-sin(x)[/tex]

Plotting both of these functions is a reflection of [tex]y=sin(x)[/tex] in both axis.

Compute i^1+i^2+i^3+...+ i^97 + i^98+i^99.

Answers

If [tex]i=\sqrt{-1}[/tex], then [tex]i^2=-1[/tex], [tex]i^3=-i[/tex], and [tex]i^4=1[/tex].

We can break up the given sum into 25 groups (after adding and subtracting [tex]i^{100}[/tex]):

[tex](i+i^2+i^3+i^4)+(i^5+i^6+i^7+i^8)+\cdots+(i^{97}+i^{98}+i^{99}+i^{100})-i^{100}[/tex]

We have

[tex]i+i^2+i^3+i^4=i-1-i+1=0[/tex]

and in each group, we can pull this out as a factor. For example,

[tex]i^{97}+i^{98}+i^{99}+i^{100}=i^{96}(i+i^2+i^3+i^4)=0[/tex]

So the entire sum reduces to the remaining term,

[tex]-i^{100}=-i^{25\cdot4}=-(i^4)^{25}=-1^{25}=\boxed{-1}[/tex]

Answer:

jhjhjhjjjhjhjjjjh and yea that .....................................................................................................................................................................

Step-by-step explanation:

whats the difference between a sequence and a series?

Answers

Answer:

A sequence is defined as an arrangement of numbers in a particular order. On the other hand a series is defiend as the sum of the elements of a sequence!

Which right triangular prism has the greatest volume? A triangular prism. The triangular base has a base of 7 meters and height of 9 meters. The height of the prism is 6 meters. A triangular prism. The triangular base has a base of 6 meters and height of 13 meters. The height of the prism is 5 meters. A triangular prism. The triangular base has a base of 11 meters and height of 8 meters. The height of the prism is 8 meters. A triangular prism. The triangular base has a base of 10 meters and height of 9 meters. The height of the prism is 8 meters.

Answers

Answer: The correct answer is option 4;

A triangular prism. The triangular base has a base of 10 metres and a height of 9 metres. The height of the prism is 8 metres.

Step-by-step explanation: A simple check for the result of each set of dimensions would give the correct answer.

The volume of a right triangular prism is derived as follows;

Volume = 1/2 * b * h * l

Where, b is the base of the triangle, h is the vertical height of the triangle and l is the length of the prism.

Note that the area of the right triangle is denoted by 1/2 * b * h, and multiplying this result by the length of the prism gives the entire depth or volume of the triangular prism. Let us examine the dimensions one after the other;

(1) A triangular prism. The triangular base has a base of 7 metres and height of 9 metres. The height of the prism is 6 metres.

Volume = 1/2 * 7 * 9 * 6

Volume = 189 cubic metres

(2) A triangular prism. The triangular base has a base of 6 metres and height of 13 metres. The height of the prism is 5 metres.

Volume = 1/2 * 6 * 13 * 5

Volume = 165 cubic metres

(3) A triangular prism. The triangular base has a base of 11 metres and a height of 8 metres. The height of the prism is 8 metres.

Volume = 1/2 * 11 * 8 * 8

Volume = 352 cubic metres

(4) A triangular prism. The triangular base has a base of 10 metres and a height of 9 metres. The height of the prism is 8 metres.

Volume = 1/2 * 10 * 9 * 8

Volume = 360 cubic metres

Answer:

2

Step-by-step explanation:

Please help, this is a conversion problem.

Answers

Answer:

A. 41 ft / sec.

Step-by-step explanation:

28 miles per hour = 28/(60*60)

= 28 /3600 miles per second

= 28 * 5280 / 3600 feet per second

= 41 ft / sec.

Answer:

I am taking a guess so bare with me on here.

Step-by-step explanation:

first off: you want to look at each answer and think about how logical each one is. So you can cross out D. because it doesn't seem logical.

Second: Think about a car. when you are on the high way and your parents say 60 MPH that means going that speed (60MPH) you can get about 60 miles an hour and an hour is 60 min and 60 min is about 3,600 seconds because a min is 60 seconds.

Third: take out any other answer that looks too high or too low.

4th: the answer is A. because 88 and 189 is too high. and 36 is too low.

A waitress received a tip of 12% of a $375 food bill How much money in tips did she earn?

Answers

Answer:

$ 45

Step-by-step explanation:

How much money in tips did she earn ?

12%×$375 = 12×375/100 = 4500/100 = $45

The answer is 45 dollars

All you have to do is make 12 a decimal (0.12) and multiply that by 375

PLEASE HELP! WILL MARK BRAINLIEST! THANK YOU! How many 2-digit numbers are among the terms of the arithmetic sequence 2, 7, 12, 17, ...?

Answers

Answer:

18 2-digit numbers.

Step-by-step explanation: There is

12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97. :)

hope this helps

Answer:

I believe the answer is 18 2 digit numbers

Step-by-step explanation:

I just counted them :)

12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97

These are all the 2 digit numbers!

Help ASAP please Graph the line that has a x-intercept of -5 and a y-intercept -2 what is the slope of the line

Answers

Answer:

Slope: -2/5

Step-by-step explanation:

To find slope, use: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Can you help me please?

Answers

Answer:

30 comedy DVDs

35 Action DVDs

5 Horror DVDs

Step-by-step explanation:

Total Parts of the ratio are = 6+7+1 = 14 parts

Now Finding:

1) Comedy:

=> [tex]\frac{6}{14} * 70[/tex]

=> 6 * 5

=> 30 comedy DVDs

2) Action:

=> [tex]\frac{7}{14} * 70[/tex]

=> 7 * 5

=> 35 Action DVDs

3) Horror:

=> [tex]\frac{1}{14} * 70[/tex]

=> 1*5

=> 5 Horror DVDs

write the missing numbers
4,7,5,_,6,9,_,10​

Answers

Answer:

8 and 12

Step-by-step explanation:

find a pattern: +3, -2

the missing numbers are 8 and 12

Answer:

The numbers missing are 8 and 7.

Step-by-step explanation:

First you need to find a pattern in the numbers. You will notice that the pattern is add 3, subtract two. This is because, to get from 4 to 7, you add three, and to get from 7 to 5, you subtract 2.

When you apply that pattern, you find the missing numbers.

5(+3)=8, then 8(-2)=6, then 6(+3)=9, then 9-2=7, then 7(+3)=10

I hope this helps :)

Write each repeating decimal using bar notation.
•2.034034...

•0.9222....

•0.7777....

Answers

Answer:

  ___

2.034

over .034

     _

0.92

over 2

  _

0.7

over 7

Step-by-step explanation:

Bar notation of 2.034034.... is  [tex]2.\overline{034}[/tex], 0.9222... is  [tex]0.9\overline{2}[/tex], 0.7777... is [tex]0.\overline{7}[/tex]

What is bar notation for non terminating and recurring decimals?

Non terminating and recurring decimal expansion are those in which the decimal expansion does not terminates and a certain number of group of numbers keep repeating in the expansion.

For example 10/3 = 3.33333..... here the decimal expansion is non terminating and 3 is recurring in the expansion.

Instead of writing this repeating part again and again we put a bar on the numbers that keep repeating.                  

Bar notation of  3.33333... is written as  [tex]3.\overline{3}[/tex]

Given decimal expansions are

a.  2.034034....

We can see that this decimal expansion is non terminating, recurring and 034 is recurring part of decimal expansion so bar will come on 034 after decimal.

Bar notation of 2.034034.... = [tex]2.\overline{034}[/tex]

b. 0.9222....

We can see that this decimal expansion is non terminating, recurring and 2 is recurring part of decimal expansion so bar will come on 2 after decimal.

Bar notation of 0.9222... = [tex]0.9\overline{2}[/tex]

c. 0.7777....

We can see that this decimal expansion is non terminating, recurring and 7 is recurring part of decimal expansion so bar will come on 7 after decimal.

Bar notation of 0.7777... = [tex]0.\overline{7}[/tex]

Also, learn more about decimal expansions from the link below:

https://brainly.com/question/17316823

#SPJ5

A table has an area of 12 ft^2 and a perimeter of 16 ft. What are the dimensions of the table?

Answers

Answer:

2 and 6

Step-by-step explanation:

Well if the are is 12ft^2 and the perimeter is 16 ft then the length is 6 ft and the width is 2 ft.

So 6+6+2+2=16

6*2 is 12

Answer:

Step-by-step explanation:

hello,

we can assume that the table is a rectangle

so let's note x , y its length and width, we can write

(1 ) 2(x+y)=16

(2) xy=12

x and y are different from 0 and from (2) we can write

y =12/x we replace it in (1)

x+12/x=16/2=8

[tex]<=> x^2+12=8x\\<=> x^2-8x+12 = 0\\<=> x^2 -2x-6x+12=0\\<=> x(x-2)-6(x-2)=0\\<=> (x-6)(x-2)=0\\<=> x = 6 \ \ or \ \ x=2[/tex]

for x = 6 y = 2

for x = 2 y = 6

so the dimensions of the table is 2ft x 6ft

hope this helps

The function f(x) = 5 * (1/5) ^ x reflected over the yaxis. Which equations represent the reflected function? Select two options please I really need help

Answers

Answer:

The following two equations represent the reflected function:

f(x) = 5(1/5) ⁻ˣ

f(x) = 5(5)ˣ

Step-by-step explanation:

Following are two basic concepts of reflection a point or a function over an axis:

If a point or a function is reflected across x-axis, the x component remains the same while the y component changes its sign.If a point or a function is reflected across y-axis, the y component remain the same while the x component changes its sign.

In this question, the function is given:

f(x) = 5(1/5)ˣ

As the function is reflected over y-axis, it follows the second concept. The x component will becomes negative.

So the equation of reflected function is:

f(x) = 5(1/5) ⁻ˣ

We know that that fraction with a negative power can also be written as a reciprocal of the same fraction with a positive power.

(1/5)⁻ˣ = 5ˣ

So equation of reflected function can also be written as:

f(x) = 5(5)ˣ

Answer:

f(x) = 5(1/5) ⁻ˣ

f(x) = 5(5)ˣ

6+{5+[2+(8+20)]} we are supposed to compute!!! I have no idea how!

Answers

Step-by-step explanation:

Is this correct

HAVE A GOOD DAY!

Solve for b


117
63
27
160​

Answers

Answer:

27

Step-by-step explanation:

180-153=b

b=27

Answer:

B) 27

Step-by-step explanation:

Because 153 and b are a linear pair, their angle measures must add up to 180 degrees. Therefore:

153+b=180

b=180-153

b=27

Hope this helps!

PLEASE ANSWER ASAP
10 POINTS!!!!!!!

Answers

Answer:

Range { -8,-3,5,7}

Step-by-step explanation:

The range of the function is the output values

Range { -8,-3,5,7}

Answer:

D

Step-by-step explanation:

8, -3, 5, 7

List of all possible outputs

Find the measure of each marked angle.

X degree= ? Degree

(X+50) Degree =? Degree

(180-3x) Degree =? Degree

(Simplify your answers. Type an integer or a fraction.)

Answers

Answer:

x degrees = 50 degrees.

x + 50 degrees = 50  + 50 = 100 degrees

(180 - 3x) degrees = (180 - 3*50) = 30 degrees.

Step-by-step explanation:

In a triangle, the sum of all inside angles must be 180 degrees.

In this question:

The inside angles are: x, x + 50 and 180 - 3x.

Then

x + x + 50 + 180 - 3x = 180

2x - 3x = -50

x = 50

So

x degrees = 50 degrees.

x + 50 degrees = 50  + 50 = 100 degrees

(180 - 3x) degrees = (180 - 3*50) = 30 degrees.

Which sets are best represented by the Venn diagram G = {odd numbers)
H = {even numbers)
1 = {prime numbers
B. G = {a,b,c}
H = {d, e, f}
1 = {a, d, g}
C. G= {1, 2, 3
H = {2, 4, 9}
1 = {4, 5, 6)
D. G={a, -13,7}
H={-13, -15, s}
1 = {s, a, 23}

Answers

Answer:

option C.

G = {1, 2, 3}

H = {2, 4, 9}

1 = {4, 5, 6}

Step-by-step explanation:

From the diagram given above, we obtained the following information:

1. G Intercession H (G n H) has members i.e (G n H) is not epmty

G n H ≠ empty.

2. H Intercession I (H n I) has members i.e (H n I) is not empty

H n I ≠ empty.

3. G Intercession I (G n I) is empty i.e

G n I = empty.

Please note: Intercession of sets talks about elements or members common to the sets.

With the above information, we can suggest the answer to the question as follow:

For option A:

G = {odd numbers} = {1, 3, 5, 7,.. }

H = {even numbers} = {2, 4, 6, 8,.. }

I = {prime numbers} = {2, 3, 5, 7,...}

Therefore:

G n H = {} = empty

H n I = {2}

G n I = {3, 5, 7,..}

For option B:

G = {a,b,c}

H = {d, e, f}

I = {a, d, g}

Therefore:

G n H = {} = empty

H n I = {d}

G n I = {a}

For option C:

G = {1, 2, 3}

H = {2, 4, 9}

I = {4, 5, 6}

Therefore:

G n H = {2}

H n I = {4}

G n I = {} = empty

For option D:

G = {a, -13, 7}

H = {-13, -15, s}

I = {s, a, 23}

Therefore:

G n H = {-13}

H n I = {s}

G n I = {a}

From the above illustrations, only option C is correct.

The radius of a circle is 4 feet. What is the area of a sector bounded by a 45° arc?

Answers

Answer:

[tex]Area = 6.28\ ft^2[/tex] or [tex]Area = 2 \pi\ ft^2[/tex]

Step-by-step explanation:

Given

[tex]Radius, r = 4ft[/tex]

[tex]Angle, \theta = 45[/tex]

Required

Calculate the area of the sector

When angle is given in degrees, the area of sector is calculated as thus;

[tex]Area = \frac{\theta}{360} * \pi * r^2[/tex]

[tex]Substitute\ r = 4\ and\ \theta = 45[/tex]

[tex]Area = \frac{\theta}{360} * \pi * r^2[/tex] becomes

[tex]Area = \frac{45}{360} * \pi * 4^2[/tex]

[tex]Area = \frac{45}{360} * \pi * 16[/tex]

[tex]Area = \frac{45*16}{360} * \pi[/tex]

[tex]Area = \frac{720}{360} * \pi[/tex]

[tex]Area = 2 * \pi[/tex]

[tex]Area = 2 \pi\ ft^2[/tex]

The above is the area in terms of π

Solving further.... (Take π as 3.14)

[tex]Area = 2 \pi\ ft^2[/tex] becomes

[tex]Area = 2 * 3.14\ ft^2[/tex]

[tex]Area = 6.28\ ft^2[/tex]

Hence, the area of the sector is

[tex]Area = 6.28\ ft^2[/tex] or [tex]Area = 2 \pi\ ft^2[/tex]

A certain club has $50$ people, and $4$ members are running for president. Each club member votes for one of the $4$ candidates. How many different possible vote totals are there?

Answers

Answer:

The number of different possible vote totals is 184.

Step-by-step explanation:

It is provided that there are N = 50 people in a club.

The position of President is open. And there are x = 4 members running for he post of President.

So, there are n = N - x = 50 - 4 = 46 people voting for these 4 members.

Each member of the club has x = 4 possible choices.

So, the number of different possible vote totals are:

Number of different possible votes = n × x

                                                           = 46 × 4

                                                           = 184

Thus, the number of different possible vote totals is 184.

What does an individual’s effective tax rate indicate?

A.
the average income earned
B.
the average tax rate
C.
the minimum tax rate
D.
the next year’s tax rate​

Answers

Answer:

the answer is B

Step-by-step explanation:

100 on the plato test

Answer:

A. the average income earned

B. the average tax rate

C. the minimum tax rate

D. the next year's tax rate

Step-by-step explanation:

Plato Users

John goes running every morning. He can run 3 miles in 1 hour. How many miles would he be able to run in 1 and ½ hours? A. 4.5 miles B. 2 miles C. 6 miles D. 10 miles

Answers

Answer:

2

Step-by-step explanation:

well less than 3

Answer:

A

Step-by-step explanation:

The easiest way to do this problem is to find out how far he can go in 1/2 hour.

If he goes 3 miles in 1 hour

he will go 3/2 miles in 1/2 hour

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

Now just add this onto the distance travelled in 1 hour.

3 + 3/2 = 3 + 1.5 = 4.5

The answer is A

The answer can be obtained another (perhaps better ) way.

Set up a proportion

1 hour gives 3 miles

1.5 hours gives x

1/1.5 = 3/x                Cross multiply

1*x = 1.5 * 3             Combine    

x = 4.5 miles

Other Questions
Write an equation in slope-intercept form for the line that passes through (4,5) and parallel to the to the line described by y=5x+10 Which of the following statements about exponential growth curves is true?a. Exponential growth curves are common for R-selected species.b. Exponential growth curves show fast growth rates followed by slow growth rates.No organisms in nature experience exponential growth rates.d. Exponential growth curves are S-shaped.C.Please select the best answer from the choices providedBOOOOD What are the like terms in the algebraic expression? Negative a squared b + 6 a b minus 8 + 5 a squared b minus 6 a minus b Negative a squared b and negative 6 a Negative a squared b and 5 a squared b 6 a b and 5 a squared b 6 a b and negative 6 a Solve for x: 3 (2x 5) < 4(x + 2)Your answer:x < 8x > 8x < 3x > 3 Cane Company manufactures two products called Alpha and Beta that sell for $195 and $150, respectively. Each product uses only one type of raw material that costs $5 per pound. The company has the capacity to annually produce 123,000 units of each product. Its unit costs for each product at this level of activity are given belowAlpha BetaDirect materials $40 $15Direct labor 34 28Variable manufacturing overhead 22 20Traceable fixed manufacturing overhead 30 33Variable selling expenses 27 23Common fixed expenses 30 25Total cost per unit $183 $144The company considers its traceable fixed manufacturing overhead to be avoidable, whereas its common fixed expenses are deemed unavoidable and have been allocated to products based on sales dollars.1) What contribution margin per pound of raw material is earned by Alpha and Beta?2) Assume that Cane's customers would buy a maximum of 95,000 units of Alpha and 75,000 units of Beta. Also, assume that the company's raw material available for production is limited to 245,000 pounds. How many units of each product should Cane produce to maximize its profits?3) Assume that Cane's customers would buy a maximum of 95,000 units of Alpha and 75,000 units of Beta. Also, assume that the company's raw material available for production is limited to 245,000 pounds. What is the maximum contribution margin Cane Company can earn given the limited quantity of raw materials?4) Assume that Cane's customers would buy a maximum of 95,000 units of Alpha and 75,000 units of Beta. Also, assume that the company's raw material available for production is limited to 245,000 pounds. Up to how much should it be willing to pay per pound for additional raw materials? The mean age of 5 people in a room is 40 years. A person enters the room. The mean age is now 36. What is the age of the person who entered the room? Rogelio paints watercolors. He got a $100 gift card to the art supply store and wants to use it to buy 12 inch by 16 inch canvases. Each canvas costs $10.99. What is the maximum number of canvases he can buy with his gift card Phil has $20,000, part of which he invests at 8% interest and the rest at 6%. If the total income from the two investments was $1460, how much did he invest at 6%? An access control strategy that gives a user or group of users only those powers which are absolutely essential to do the job required is called the: a. principle of least privilege. b. principle of user control. c. principle of essential power. d. group level rule. A box contains 99 green marbles and 1212 white marbles. If the first marble chosen was a green marble, what is the probability of choosing, without replacement, a white marble? Express your answer as a fraction or a decimal number rounded to four decimal places. 1(32)2=2n what is n? this might be hard to do but I need help asap!! ty Urgent!!!!!! Read the passage from What Does the Pursuit of Happiness Mean in the Declaration of Independence? Because happiness was widely considered a natural state for humans in the Jeffersonian era, it was believed to be what God intended and therefore deserved protection. The words proximity to two other natural rightsliberty and lifedemonstrates that Jefferson found happiness just as important. The legal and social frameworks provided by the Declaration and the Constitution are meant to create that protection. If a large house makes you happy, for example, then another person shouldnt be able to set it on fire; there are laws against that. Whats more, an individual shouldnt legally be kept from pursuing that large house. Which response most accurately explains how the author helps the reader understand the full meaning of the phrase pursuit of happiness in the passage? What Does the Pursuit of Happiness Mean? He provides historical context by explaining that happiness was regarded as ones birthright and should be protected from others who may impinge upon it. He ranks the natural rights of life, liberty, and the pursuit of happiness, showing which are most and least important. He describes the components of the Constitution that protect individuals rights to pursue their own concept of happiness. He uses an example of a large house to show what can be gained from the pursuit of happiness. An increase in average temperature around the planet is known as: A: sea level B: weather acceleration C: Global Warming D: Climate elevation PLEEEEEEEEEEEASE HELP The function f(n) represents an arithmetic sequence where the first term is 5 and each term increases by 5. What is f(8)? Record adjusting journal entries 100 of the following for year ended December 31Assume no other adjusting entries are made during the yearSalaries Payable.: At year-end, salaries expense of $24,000 has been incurred by the company, but is not yet paid to employees. Interest Payable: At its December 31 year-end, the company owes $675 of interest on a line-of-credit loan. That interest will not be paid until sometime in January of the next year. Interest Payable: At its December 31 year-end, the company holds a mortgage payable that has incurred $1,300 in annual interest that is neither recorded nor paid. The company intends to pay the interest on January 7 of the next year. 2. An arc is a smooth piece of a circle. A major arc of a circle is an arc that islonger than half the circumference of the circle. Find the measure of the major arc ABC GOSolve:10= 2a. x = 5B. x = 10C. X = 20d. x = 15Please select the best answer from the choices provided How can there be further research on viruses and how can it be improved? The graph of y=-3x+ 2 is: on the first floor between the four bedroom _1. a landing2. a hall3.an atticon the first floor outside each bedroom there is a stone_1. verandah2. hall3. balconysome of the doorways have _ round them and some are plain1. steps2.carving3.shutters answer this excercise...please class 4