⦁ A room 12′-4″ by 13′-9″ with an 8′-0″ ceiling height has one door 3′ × 7′ and two windows 4′ square. Answer the following questions. Assume there is no waste in materials, and round off your answer to the next largest unit. Show both exact and rounded figures in the blanks provided.

Answers

Answer 1

The amount of wall surface in square feet is there to paint is: 364 square ft. While the floor area is 169.58sq ft. See the calculations below:

What is Square Feet?

The square foot is an imperial measure of area and a customary unit of area in most countries. It is defined as the area of a square with one-foot sides.

The calculation for the above solution is given as:

Step I - Recall the Given Stats:

Dimensions of the room are:

12′-4″ by 13′-9″ with an 8′-0″ ceiling height has one door 3′ × 7′ and two windows 4′ square.

Let Lenght (l) = 13'9" = 13(9/12) ft = 13(3/4) = 55/4 ft.

Let Width(w) = 12'4" = 12(4/12) ft = 12(1/3)ft = 37/3 ft

Let Height h = 8'0" = 8ft.

Recall that we have a door with dimensions 3' x 7' and two windows 4'x4'

Step II - A) Surface area of the wall to be painted is:

Area of 4 walls less (area of door plus area of window)

Surface Area = 2LH + 2WH - ((3 x7) + 2(4x4))

= 2(l +w)h - (21 + 32)
= 2 ((55/4) + (37/3))8 -53

= 220 + 592/3 - 53
= 167 + 592

= (501+ 592)/3
= 1093/3

Hence,

The Surface Area to be painted is = 364.33 Sq ft.

Step III - B) The Area of the Floor = Lx W

= (55/4) x (37/3)

= 2035/12

= 169.583333333

Hence,

Area of the Floor is approximately = 169.58

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Full Question:

A room 12′-4″ by 13′-9″ with an 8′-0″ ceiling height has one door 3′ × 7′ and two windows 4′ square.

Answer the following questions. Assume there is no waste in materials, and round off your answer to the next largest unit. Show both exact and rounded figures in the blanks provided.

A. How much wall surface in square feet is there to paint?

B. What is the floor area?


Related Questions

Solve the equation algebraically

-3(h+6)-7=5

Write your answer as an internet or reduced fraction.

H=

Answers

Answer:

h = -10

Step-by-step explanation:

-3(h+6) - 7 = 5

-3h - 18 - 7 = 5

-3h - 25 = 5

     +25    +25

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

-3h = 30

÷-3     ÷-3

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

h = -10

I hope this helps!

Air pressure decreases exponentially with increases in elevation. The air pressure, y, (in atm units) at a given elevation, x, (in meters) can bemodeled using equation y = e where k is the decay constant.At an elevation of 5486 m where the air pressure is 0.5 atm, what is the value of k?O A k=In( 5486)0.5B. k =In(0.5)548654860.5D. k = - In ( 3956

Answers

Take natural log on both side of the equation to simplify it,

[tex]\begin{gathered} \ln y=\ln (e^{-kx}) \\ \ln y=(-kx)\ln e \\ \ln y=-kx \\ k=\frac{-\ln y}{x} \end{gathered}[/tex]

S

Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth. cos 75° = ___

Answers

Answer:

0.26

Explanation

Given the expression

Cos 75°

According to the calculator

Cos 75° = 0.2588

Converting to the nearest hundredth

Cos 75 = 0.26

Hence the required answer is 0.26

4/5(720-240)-180 step by step

Answers

To solve, we use the order of operations PEMDAS, where

P = Parenthesis

E = Exponets

M = Multiplication

D = Division

A = Addition

S = Subtraction

State the expression to be simplified:

Possibility 1

[tex]\frac{4}{5}(720-240)-180[/tex]

Expanding the parenthesis:

[tex]\frac{4}{5}\times480-180[/tex]

Multiplying then subtracting,

[tex]384-180[/tex]

Therefore, the answer is 204.

Possibility 2

[tex]\frac{4}{5(720-240)}-180[/tex]

Expanding parenthesis:

[tex]\frac{4}{5\times480}-180[/tex]

Multiplying:

[tex]\frac{4}{2400}-180[/tex]

Dividing then subtracting:

[tex]\begin{gathered} \frac{1}{600}-180 \\ =-179.998 \end{gathered}[/tex]

Therefore, the answer is -179.998.

Possibility 3

[tex]\frac{4}{5(720-240)-180}[/tex]

Expanding parenthesis:

[tex]\frac{4}{5\times480-180}[/tex]

Multiplying:

[tex]\frac{4}{(2400-180)}[/tex]

Further expanding the parenthesis then dividing:

[tex]\begin{gathered} \frac{4}{2220} \\ =0.0018 \end{gathered}[/tex]

Therefore, the answer is 0.0018.

The teacher is handing out note cards to her students. She gave 84 note cards to the first
student, 76 note cards to the second student, 68 note cards to the third student, and 60 note
cards to the fourth student. What kind of sequence is this?
arithmetic
geometric
both
neither

Answers

Answer: Arithmetic

Step-by-step explanation: Because its decreasing at a constant rate of the same number 8

A new social media site is increasing its user base by approximately 6% per month.Ir the site currently has 21,740 users, what will the approximate user base be 8 months from now?

Answers

Data

• Increase: 6% per month

,

• Current users: 21,740

,

• Users after 8 months: ?

Procedure

As we are increasing 6%, we have to multiply the original quantity, which represents the 100%, times 100% plus the increase (6%). However, this must be done in decimals:

[tex]\frac{100\%+6\%}{100\%}=\frac{106\%}{100\%}=1.06[/tex]

Then, for the first month the user base will be:

[tex]21,740\times1.06=23,044.4[/tex]

Then, for the second month the user base will be:

[tex]23,044.4\times1.06=24,427.06[/tex]

The third month would be:

[tex]24,427.06\times1.06=25,892.70[/tex]

We could do this for eight months or we can take a shortcut:

[tex]U=U_0\times i^n[/tex]

where U represents the user, U0 is the initial users, i is the increase rate, and n is the number of months.

Replacing the data we have we get:

[tex]U=21,740\times1.06^8[/tex][tex]U=34,650.26[/tex]

Answer: 34,650.26 users after 8 months with a 6% increase per month.

Which sequences are geometric? Select three options.

–2.7, –9, –30, –100, ...
–1, 2.5, –6.25, 15.625, ...
9.1, 9.2, 9.3, 9.4, ...
8, 0.8, 0.08, 0.008, ...
4, –4, –12, –20, ..

Answers

(i) –2.7, –9, –30, –100, ... case of a geometric sequence

(ii) –1, 2.5, –6.25, 15.625, ... case of a geometric sequence

(iii) 9.1, 9.2, 9.3, 9.4, ... not a case of a geometric sequence

(iv) 8, 0.8, 0.08, 0.008, ... case of a geometric sequence

(v) 4, –4, –12, –20, .. not a case of a geometric sequence

What is a geometric sequence?

A geometric sequence is one in which the ratio of two succeeding terms is fixed. The common ratio is what's known as this ratio.

Checking each sequence one by one right now.

(i) –2.7, –9, –30, –100, ...

r=(-9/2.7)=3.33

=(-30/9)=3.33

=(-100/9)=3.33

⇒This is a case of a geometric sequence

(ii) –1, 2.5, –6.25, 15.625, ...

r=(2.5/-1)=2.5

=(-6.25/2.5)=2.5

=(15.625/-6.25)= 2.5

⇒This is a case of a geometric sequence

(iii) 9.1, 9.2, 9.3, 9.4, ...

since the ratio between terms is not the same.

⇒This is not a case of a geometric sequence

(iv) 8, 0.8, 0.08, 0.008, ...

since the ratio between terms is the same.

⇒This is a case of a geometric sequence

(v) 4, –4, –12, –20, ..

since the ratio between terms is not the same.

⇒This is not a case of a geometric sequence

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Answer:

option 1,2,4,5 are correct answers

Step-by-step explanation:

Elon writes an algebraic expression to represent the product of 10 and the difference of 5y and 1. The factors of the expression are______and_____

Answers

The factors of the expression are 2.5 and 11/5.

What is an algebraic expression?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions. Similar to this, we are describing an algebraic expression when we explain an expression in words that has a variable (an expression with a variable). For instance, the algebraic expression for "3 more than x" can be written. x + 3.

Given Data

Elon writes an algebraic expression to represent the product of 10 and the difference of 5y and 1.

Algebraic expression:

The factors of the expression are:

10 = 5y -1

11 = 5y

y = 11/5

y = 2.5

The factors of the expression are 2.5 and 11/5.

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10. The value of the 8th term is 78.The sequence is increasing by 10 at each step.Explicit equation: y = 10x - 2Recursive: now = previous term + 10Find the 9th term.Explanation:

Answers

We have the explicit equatiion:

[tex]\text{ y = 10x - 2}[/tex]

The 8th term is 78

y = 10 * 8 - 2

y = 80 - 2

We replaced x by 8

Therefore, for finding the 9th term, we calculate the value this way:

y = 10 * 9 - 2

y = 90 - 2

y = 88

The 9th term of the series is 88

helpppp me out please will give brainiest to first right answer

Answers

Answer:

-490

Step-by-step explanation:

:]

What are two ways you can find 17-8? Explain.

Answers

The two ways to find solution of the expression (17-8) are by direct arithmetic method and indirect simplification method.

In arithmetic method, the first step is to determine whether the numbers are rational or irrational, so as to simplify the solution process. If numbers are rational, then they are checked for the sign determining their position on number line and then the calculations are performed. Here, 17 is positive rational number and -8 is negative rational number. Hence, 17-8 is equalized to 9. In indirect simplification method, the numbers to be subtracted are broken down to simpler terms which can be easily subtracted and reduced to get the answer. In the subtraction of 17-8, we break 8 in the form of (7+1). Then the expression becomes 17 - (7+1). Now, this expression can easily be solved to get the answer. Therefore, 17 - (7+1) = 10 - 1 = 9.

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for each problem find the instantaneous rate of change of the function at the given value ...Thank you and God Bless

Answers

Answer:

The instantaneous rate of change of the function at the given value is -2.

[tex]f^{\prime}(0)=-2[/tex]

Explanation:

The instantaneous rate of change of the function at point x=a can be written as;

[tex]f^{\prime}(a)=\frac{df(a)}{dx}[/tex]

For the given function;

[tex]y=2x^2-2x+2[/tex]

Then the derivative of the function is;

[tex]f^{\prime}(x)=y^{\prime}=4x-2[/tex]

substituting x=0, we have;

[tex]\begin{gathered} f^{\prime}(0)=4(0)-2 \\ f^{\prime}(0)=-2 \end{gathered}[/tex]

Therefore, the instantaneous rate of change of the function at the given value is -2.

[tex]f^{\prime}(0)=-2[/tex]

Simplify 7-0.65r+3 to the lowest

Answers

The answer would be 0.65r+10

Angles A and B are supplementary angles. If m

Answers

Answer:

138 degrees

Explanation:

Two angles are said to be Supplementary if they add up to 180 degrees.

Given that Angles A and B are supplementary and:

[tex]\begin{gathered} m\angle A=(2x-24)^0 \\ m\angle B=(5x-27)^0 \end{gathered}[/tex]

Therefore:

[tex]\begin{gathered} m\angle A+m\angle B=180^0 \\ 2x-24+5x-27=180 \\ 7x=180+27+24 \\ 7x=231 \\ x=\frac{231}{7} \\ x=33^0 \end{gathered}[/tex]

Therefore, the measure of angle B will be:

[tex]\begin{gathered} m\angle B=(5x-27)^0 \\ =5(33)-27 \\ =165^0-27^0 \\ =138^0 \end{gathered}[/tex]

The measure of angle B is 138 degrees.

Consider the figure. If <7 and <11 are supplementary then lines

Answers

Solution

- The two angles, <7 and <11 are supplementary. This implies that the line q is a transversal line upon which angles <7 and <11 are drawn.

- In order for line q to be the transversal and <7 and <7 to be supplementary, it implies that the lines r and s are parallel.

Final Answer

The answer is "r and s"

in the diagram the perpendicular bisectors of triangle MNP meet at point O the circumcenter find the measure of PO

Answers

The circumcenter must have equal distance between center and veriter

Sum of two rational numbers are 2/15 , if one rational number is 2/3 . Find the other rational number

Answers

Step-by-step explanation:

the answers is attached

hope it helps

PLEASEE HELPP THIS IS DUE 2DAY!!!!!!


Create and solve a word problem using the equation 2x+12>2(x+6).include steps and strategies on how to solve the word problem.

Answers

A word problem of the scenario is "twelve more than twice a number is greater than double the sum of the number and six"

It has no solution

How to create a word problem?

The inequality expression is given as

2x + 12 > 2(x + 6)

To create the word problem, we represent the variable with a real world concept

Take for instance, we can set the variable to "a number"

So, the representation of x is "a number"

This means that the word problem can be:

Twelve more than twice a number is greater than double the sum of the number and six

The solution of the word problem

In (a), we have

Twelve more than twice a number is greater than double the sum of the number and six

When represented as an inequality, we have

2x + 12 > 2(x + 6)

Open the bracket

2x + 12 > 2x + 12

Both sides of the inequality are the same and the inequality symbol is greater than

This means that the inequality has no solution

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Which is closest to X, the distance between the base of the lighthouse and the boat

Answers

we have

then, we use the trigonometric tangent identity:

[tex]\begin{gathered} \tan 25=\frac{22}{x} \\ x=\frac{22}{\tan 25} \\ x=47.2 \end{gathered}[/tex]

answer: x = 47.2

The question: Rounded to the nearest integer, what is the approximate surface area of this right triangular prism with an equilateral triangle for a base? I just need help solve it because I’m confused

Answers

Okay, here we have this:

Considering the provided figure, we are going to calculate the requested surface area, so we obtain the following:

Then we will substitute in the following formula:

Surface Area of Triangular Prism=(√3a^2)/2+3(a+h)

Replacing:

Surface Area of Triangular Prism=(√3*8^2)/2+3(8+6)

Surface Area of Triangular Prism=(√3*64)/2+3(14)

Surface Area of Triangular Prism=(√3*64)/2+42

Surface Area of Triangular Prism=(√3*32)+42

Surface Area of Triangular Prism=32√3+42

Surface Area of Triangular Prism=97 ft^2

Finally we obtain that the aproximately surface area is 97 ft^2.

Answer:

199FT

Step-by-step explanation:

I took the quiz

This composite figure is made up of three simpler shapes. What is the area of the figure? 3 cm 2 cm 8 cm 3 cm 12 cm A. 37 square cm B. 39 square cm C. 58 square cm D. 55 square cm

Answers

[tex]\begin{gathered} \text{the total area is:} \\ \\ A=12\cdot3+8\cdot2+3\cdot\frac{2}{2} \\ \\ A=36+16+3 \\ A=55 \\ \\ \text{ The area is 55 square cm} \end{gathered}[/tex]

Solve for X.
X =?]
5X - 16 x + 10

Answers

-11x + 10 is the answer.
5x-16x+10
calculate the difference
= -11x+10
5x - 16x + 10
-11x + 10

What can you observe about the
segments that connect
corresponding
vertices?

Answers

It is observed about the segments that the two triangles are congruent, the corresponding angle pair is congruent. also the two corresponding side pairs are also congruent.

What is segment?

In mathematics, the line segment is one of the part of the straight line. It has two endpoints which can be used to calculate the length of the respective segment. It is measured in different units called as meter, centimeter, etc.

According to the question, the given data for the line segment is as follows:

DD' = 58.4 cm; EE' = 58.4 cm;  FF' = 58.4 cm

All three segments are equal in length.

In this, the ΔDEF and ΔD'E'F' are equal from angle as well as length sides. And the relationship between two triangles and their vertex state that they are forming two congruent Polygon shapes as well as generating a segment between them. Thus, if there is congruence among the pentagons, it will exist between the formed triangles.

Therefore, it is observed about the segments that connect corresponding vertices that the two triangles are congruent and its corresponding angle pair is congruent. also the two corresponding side pairs are also congruent.

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Help 40 points
Two questions!

Answers

The resultant of the product of 7 and 6 added to the quotient of 121 and 11 is 53.

The point (3,9) satisfies the equation y = 8x - 15 thus it will be the solution of the equation.

What is a number system?

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

What is the equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

01)

The quotient of 121 and 11 is 11.

As per the given,

Product of 7 and 6 ⇒

7 × 6 + 11 = 53

Hence "The resultant of the product of 7 and 6 added to the quotient of 121 and 11 is 53".

02)

As per the given equation,

y = 8x - 15

Substitute,(3,9)

9 = 8(3) - 15

9 = 9

Since it is satisfying thus it will be the solution.

Hence "The point (3,9) satisfies the equation y = 8x - 15 thus it will be the solution of the equation".

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Simplify.3(x + 4)12 x3 x + 127x3(x+4)

Answers

We need to apply "Distributive Property" in order to get rid of the grouping symbols in the algebraic expression.

Such means to multiply 3 by each of the terms inside the parenthesis. That is:

3 times x and then 3 time 4:

3 times x remains as "3 x" since we don't know the value of "x", and 3 times 4 becomes 12:

3 (x+4) = 3 x + 12

Which seems to be the second option you listed.

Kelly bought a soda for three dollars and 7 candy barswent to the movies. She spent a total of $21. How much did eachcandy bar cost?Write equation and solve. Show work

Answers

She spent a total of $21 dollars.

The soda cost $3

Then, she bought 7 candy bars for x dollars

We set x because we don't know the price

3 + 7x = 21

Solve the equation for x

Subtract both sides by 3

3-3 + 7x = 21 -3

7x = 18

Divide both sides by 7

7x/7 = 18/7

x= 2.571

Each candy bar cost 2.57 aprox

We want to buy special tile for the shaded area. The tile costs $4.39 per square foot. How much does it cost to tile the shaded area?

Answers

If the area of the rectangle is 800 square feet. Then the cost to tile the shaded area will be $3,512.

What is the area of the rectangle?

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L × W square units

The area of the rectangle is given below.

A = 20 x 40

A = 800 square ft

Then the cost to tile the shaded area will be given as,

C = 4.39 x 800

C = $3,512

If the area of the rectangle is 800 square feet. Then the cost to tile the shaded area will be $3,512.

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The missing diagram is attached below.

The number of boots that 25 students had in their homes in Florida were recorded below:

0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 9

a) What value would you predict to be an outlier?

b) How does the outlier affect the median?

c) How does the outlier affect the mean?

d) Which measure of center would best describe the data?

e) How does the outlier affect the standard deviation?

f) How does the outlier affect the interquartile range?

g) Which measure of spread would best describe the data?


PLEASE ANSWER, WILL MARK BRAINLIEST

Answers

1.The outlier affect the Min = 0 for the minimum

2. the outlier affect the median is 2

Q₁ = 0  Q₃ = 3  Maximum Max = 8

The middle value in a sorted data set is known as the median. 

what is more about?

Think of your sorted data as being

0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 8

1.Min = 0 for the minimum

The median

The middle value in a sorted data set is known as the median. 

2.Since there are 25 items,

the 13th item is the median.

median is 2

3. The median of the data set's lower half is the first quartile, or Q1.

Between 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, the median is 0.

Q₁ = 0

Pretend that your s

4.Third quartile

The top half of the data set's median is Q3.

2, 2, 2, 2, 2, 3, 3, 3, 4, 5, and 8 have a median value of 3 each.

Q₃ = 3

5. Maximum Max = 8

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Data collected on types of fruit is given below.R = Red Fruit. B = Berries Given that:r1 =49r2 =10r3 =5r4 = 8A) how many types of fruit are not red?B) how many types of fruit are berries?C) how many types of fruit are red berries D) how many types of fruit are not red and not berries

Answers

You have the next diagram:

R=10+5=15

B=5+8=13

R∩B=5

U=49+5+8+10=72

A) how many types of fruit are not red?

The number of fruits that are not reds is those that are outside of the set R: 57

[tex]\begin{gathered} R^{\prime}=U-R=72-15 \\ R^{\prime}=57 \end{gathered}[/tex]B) how many types of fruit are berries?

The number of fruits that are berries is those that are in the set B: 13

[tex]B=13[/tex]C) how many types of fruit are red berries

The number of fruits that are red berries is those that are in set R and in set B: 5

[tex]R\cap B=5[/tex]D) how many types of fruit are not red and not berries​

The number of fruits that are not red and not berries is those that are outside the sets R and outside the set B: 49

Which is bigger 978cm or 12m?

Answers

It is given that there are two quantities 978cm and 12 m.

The units are different so convert in same units.

It is known that 1m=100cm

So 12m=1200cm.

Since 1200>978 so it follows

1200cm>978cm.

so 12m>978cm.

Hence 12 meters is greater than 978cm.

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Todo a good job you need to convince the reader that what you have to say impacts them in some way. Ultimately, why should your reader care that these choices lead tothese consequences? This means each paragraph should include a choice, the effects of this choice, and the points that show why this information matters to your reader.You should have at least two body paragraphs, depending on how many choices you plan to discuss, an introduction that is attention-grabbing and reveals yourargument (your thesis goes here), and a conclusion that offers some memorable final thoughts on the connection between individuals and their environments.In all, you will have at least four paragraphs, depending on the number of personal choices youinclude. 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Use some form of technology to find the probability distribution given the probability p = 0.82 of success on a single trial. suppose a packet is 10k bits long, the channel transmission rate connecting a sender and receiver is 10 mbps, and the round-trip propagation delay is 10 ms. how many packets can the sender transmit before it starts receiving acknowledgments back? hello can you help me solve this plane trigonometry question aaliyah had a very important midterm paper due in less than an hour, so she rushed to her class in her car with the paper on the passenger seat. after she parked the car, she raced into class, leaving the paper behind. aaliyah experienced: this reaction is first order with respect to reactant a and second order with respect to reactant b. if the concentration of a is doubled and the concentration of b is halved, the rate of the reaction would by a factor of . If the enzymes ideal environmental conditions like ph and temperature change too much then it can become _____________. Identify a true statement about the Bill of Rights.a) It originally had a set of six amendments sent by the First Congress to thestates for ratification.b) it states that the right to no excessive bail and fines is applicable to all states.c) It originally applied only to the U.S. national government, but now most of itapplies likewise to State governments.d) It exclusively covers the first six amendments to the U.S. Constitution. Question 1-1Submit TestPreviousO division of powers between the national and state governments.O provision for admitting new states to the Union.o distribution of power between the Senate and the House of Representatives.O method of amending the Constitution.Type here to searchCPS_AmerGov_Quarter1_Farrell_2022-2023During the debates over the ratification of the United States Constitution, Federalists and Anti-Federalists disagreed most strongly overthe25EPPToolsNext >9:22 AM10/14/2022For support call CPS FamilyTechnology Support513-363-0688 Find the critical value (t/2) for a 95% confidence interval if the sample size is 15. Round your answer to three decimal places.t/2 = what is zero divided by zero volunteering ,job shadowing and internships all look good on colleage application because they show colleges the When are two times in American history when one branch tried to gain more power, and the outcome of that attempt? Most companies compute the materials price variance when raw materials are _______. a) The perimeter is ____. Include units.b) The area is ___. include units.Another question is: Fully Simplify the following equation: (3x + 7) (5x^2 + 4x +9) What is the logarithm of 6.5