If x-a is a factor of polynomial x3-mn2-2nax+na2 prove that a=m+n and a is not = 0

Answers

Answer 1

Step-by-step explanation:

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If X-a Is A Factor Of Polynomial X3-mn2-2nax+na2 Prove That A=m+n And A Is Not = 0

Related Questions

On a coordinate plane, triangle A B C is shown. Point A is at (negative 2, negative 4), point B is at (2, negative 1), and point C is at (3, negative 4). Triangle ABC is an isosceles triangle in which side AB = AC. What is the perimeter of triangle ABC? 5 + StartRoot 10 EndRoot units 10 + StartRoot 10 EndRoot units 10 StartRoot 10 EndRoot units 50 units

Answers

Could you show a picture please?

Answer:

B, 10+ /10 units

Step-by-step explanation:

Which geometric figure has 120 rotational symmetry?

Answers

Answer:

Triangle

Step-by-step explanation:

Has 120° degrees of rotation and measure of the central angle and has 3-fold rotational symmetry

Please help ! First one to give correct answer gets brainliest!

Answers

Answer:

(4x+1)²

Step-by-step explanation:

standard form of 6,32,94,000

Answers

Answer:

6.3294✖️10^7

Step-by-step explanation:

To find the statdard form, you place the decimal after the largest unit, int his case 6.

Then you write down all the numbers except for "0".

This becomes:

6.3294

Then, you add the multiplying sign, and count how many digits are there after 6, and in this case, there are 7, so you add the power "7" after 10.

6.3294✖️10^7

Hope this helped!

Have a nice day:)

3kg of rump steak costs £42 adel buys 4kg of rump steak work out how much adel pays

Answers

Answer:

The answer is £ 56

Step-by-step explanation:

In order to find the amount Adel paid we use ratio and proportion

3kg of rump steak = £ 42

Therefore

4kg of rump steak = [tex] \frac{4 \times 42}{3} [/tex]

We have the final answer as

£ 56

Hope this helps you

Answer:

£56

Step-by-step explanation:

since 3kg costs £42

1kg will be £42/3 which will be equal to £14

4kg will cost £14×4 which will be £56

The three-dimensional figure shown consists of a cylinder and a right circular cone. The radius of the base is 10 centimeters. The height of the cylinder is 16 centimeters, and the total height of the figure is 28 centimeters. The slant height of the cone is 13 centimeters. Which choice is the best approximation of the surface area of the figure? Use 3.14 to approximate pi.

Answers

Answer:

2,041 square centimeters

Step-by-step explanation:

surface area = (2 × π × r × h) + ((π × r) × (r+ (√(c² + r²))))+(π × r²)

where,

cylinder  base radius (r) = 10  cm

height of cylinder (h) = 16 cm

total height = 28 cm

cone height (c) = total height - height of cylinder = 28 - 16 = 12cm

π = 3.14

surface area = (2 × 3.14 × 10 × 16) + ((3.14 × 10) × (10+ (√(12² + 10²))))+(3.14 × 10²)

surface area = 1004.8 + (31.4 * 25.6) + 314

surface area = 2122.64 cm²

therefore the approximate surface area given is 2,041 square centimeters

Each serving of a pancake recipe calls for 1/4 cup of flour. How many servings can be made with 2 cups of flour?

Answers

Answer:

The correct answer is 8 servings of pancakes.

Step-by-step explanation:

If each serving of pancakes calls for 1/4 cup of flour, to find how many servings can be made with 2 cups of flour, we should divide 2 cups by 1/4 cup.

To do this, we can first convert 1/4 to a decimal by dividing the numerator by the denominator.  

1/4 = 0.25

Next, we can go ahead with the division.

2 / 0.25 = 8

Therefore, 8 servings of pancakes can be made with 2 cups of flour.

Hope this helps!


Solve for u.
– 22 = -8u + 6(u-7)
Simplify your answer as much as possible.

Answers

Step-by-step explanation:

- 22 = -8u + 6(u-7)

-22 = -8u + 6u - 42

8u - 6u = 22 - 42

2u = -20

u = -20/2

u = -10

Answer:

[tex] \boxed{ \boxed{ \mathrm{ \bold{ \blue{ - 10}}}}}[/tex]

Step-by-step explanation:

[tex] \mathrm{ - 22 = - 8u + 6(u - 7)}[/tex]

Distribute 6 through the parentheses

⇒[tex] \mathsf{ - 22 = -8u + 6u - 42}[/tex]

Collect like terms

⇒[tex] \mathrm{ - 22 = - 2u - 42}[/tex]

Swap the sides of the equation

⇒[tex] \mathrm{ -2u - 42 = - 22}[/tex]

Move constant to R.H.S and change it's sign

⇒[tex] \mathrm{ - 2u = - 22 + 42}[/tex]

Calculate

⇒[tex] \mathrm{ - 2u = 20}[/tex]

Divide both sides of the equation by -2

⇒[tex] \mathrm{ \frac{ - 2u}{ - 2} = \frac{20}{ - 2} }[/tex]

Calculate

⇒[tex] \mathrm{u = - 10}[/tex]

Hope I helped!

Best regards!

Help a friend out I don’t understand it

Answers

Answer:

THEY ARE COMPLIMENTARY BUT NOT NECESSARILY CONGRUENT.

Step-by-step explanation:

This is so because their lines don't meet.

Complex numbers
[ = square root symbol

-[-64
How would I find this?

Answers

[tex]-\sqrt{-64}=-\sqrt{8^2\cdot (-1)}-8\sqrt{-1}=-8i[/tex]

if b is the midpoint of ac and if c is the midpoint of bd, then what percent of cd is ac

Answers

Answer:

ac is 200% of cd

Step-by-step explanation:

To answer this question, we shall be making a visual representation.

Let’s take it one at a time.

Given;

b is the midpoint of ac

a b c

What this means is that a-b represents 50%, while bc represents another 50%

okay, we move on:

c is the midpoint of bd

b c d

What this means is that bc is 50%, while cd is another 50%.

So let’s combine the representations;

a 50% b 50% c 50% d

Now what does the question says again?

What percent of cd is ac?

From a to c, we can see two 50% which means 100%

while cd is just the regular 50%

So we can see that ac is actually twice cd

What we are saying here is , if cd is x, then ac is 2x

So we can restructure our question to mean, what percent of x is 2x?

That is simply 2x/x * 100 and that is 200%

Answer: ac is 200% of cd

Step-by-step explanation:

Geraldo recently saw a newspaper ad for a new version of his laptop. The projected price is $400.00, and the laptop will be out on the market in about one year. Geraldo wants to purchase a new laptop but is wondering if he should wait a year. With 2.5% inflation, what amount would he pay to purchase a laptop today that is the same value as the one he saw in the ad?

Answers

Answer:

The answer would be $410.00.

Cheers,

Got an question worth 25 points, pls guys go and answer it. Find the question on my profile.

Thankssss.

The price he will have to pay now for laptop will be $390.

What is cost prize ?

The prize at which the good and services have been bought is known as cost prize.

here, the given information is :

The projected price is $400.00, and the laptop will be out on the market in about one year with 2.5% inflation.

Now, if he pay to purchase a laptop today that is the same value as the one he saw in the ad then the cost price he will have to pay will be 2.5% of $400 less that is:

cost price of laptop = $400 - 2.5& x 400

cost price of laptop = 97.5% x $400

cost price of laptop = $390

Therefore, the price he will have to pay now for laptop will be $390.

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what is the lcm of 7÷25 and 3÷25

Answers

Answer:

LCM of 7/25 and 3/25 is 25

Step-by-step explanation:

The full meaning of LCM is Lowest (Least) Common Multiple

Lowest (Least)Common Multiple can be defined as the lowest or least number that is the multiple of two or more number. Note that this least number is not zero

Lowest(Least) common Multiple when applied to fractions is the least number that is the multiple of the denominators of the fraction.

In the above question, we are asked stop find the LCM of 7÷25 and 3÷25

= LCM of 7/25 and 3/25

The two denominators are the same, hence, the LCM is 25.

Juana wants to use the numbers 8, 6, 3,
and 2 to create her 4-digit ATM code.
She will not repeat any digits. How many
different codes could she create?

Answers

she can create 16 because there’s 4 numbers times the 4 digit code, she have 16 different possibilities of #s

One researcher wishes to estimate the mean number of hours that high school students spend watching TV on a weekday. A margin of error of 0.28 hour is desired. Past studies suggest that a population standard deviation of hours is reasonable. Estimate the minimum sample size required to estimate the population mean with the stated accuracy.

Answers

Complete question:

One researcher wishes to estimate the mean number of hours that high school students spend watching TV on a weekday. A margin of error of 0.28 hours is desired. Past studies suggest that a population standard deviation of 1.5 hours is reasonable. Estimate the minimum sample size required to estimate the population mean with the stated accuracy.

Answer:

111 students

Step-by-step explanation:

Given the following :

Margin of Error (E) = 0.28

Population standard deviation (sd) = 1.5

Recall:

Margin of Error(E) = Z * (sd/√n)

Taking a confidence interval of 95%

The Z value at a 95% confidence interval is 1.96

Plugging our values, we have :

Margin of Error(E) = Z * (sd/√n)

0.28 = 1.96 * (1.5/√n)

0.28 = 2.94 / √n

√n × 0.28 = 2.94

√n = 2.94 / 0.28

√n = 10.5

Square both sides to obtain n

n = 10.5^2

n = 110.25

The table shows the relationship between the cost of renting a car from the Wrecko Car Rental Company and the number of days for the rental. Draw a scatter plot and find an equation for the line of best fit. Use the equation to determine the cost of renting a car for 20 days. Days Cost 1 $44 2 $67 3 $90 4 $113 7 $182 10 $251

Answers

Answer:

The cost of renting the car for 20 days is $481

Step-by-step explanation:

The table of values can be formed as follows;

Day,   Cost

1,         $44

2,        $67

3,        $90

4,        $113

7,        $182

10,      $251

From the given values and the scatter plot, there is a straight line relationship between the cost and the number of days of rental of a car.

The line of best fit is therefore a straight line and from the constant increase in cost ($23) for each extra day of rental, it is possible to find the slope, m, of the data as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

(x₁, y,) and (x₂, y₂) can be taken as (1, $44) and (3, $90) respectively to give;

[tex]Slope, \, m =\dfrac{90-44}{3-1} = \dfrac{46}{2} = 23 \ as \ stated \ above[/tex]

The equation in slope and intercept form is therefore, y  - 44 = 23×(x - 1), which gives;

y - 44 = 23·x - 23

y = 23·x - 23 + 44 = 23·x + 21

The cost of renting the car for 20 days is then;

10×23 + 21 = $481

The cost of renting the car for 20 days = $481.

In the SuperLottery, three balls are drawn (at random) from ten white balls numbered from $1$ to $10$, and one SuperBall is drawn (at random) from ten red balls numbered from $11$ to $20$. When you buy a ticket, you choose three numbers from $1$ to $10,$ and one number from $11$ to $20$. If the numbers on your ticket match at least two of the white balls or match the red SuperBall, then you win a super prize. What is the probability that you win a super prize?

Answers

nCr(20, 2) = 190 ways of selecting 2 from 20

nCr(10, 1)    =   10 ways of selecting 1 from 10

To find the over all probability of winning,

Calculate the Harmonic Mean (19) and divide by 2

Equivalent to

1/ (1//190 + 1/10) =9.5

So the probability is 1/9.5 = 2/19.

which one is irrational?

Answers

Answer: A, B, D are irrational

Basically everything but choice C

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

Explanation:

sqrt is shorthand for square root

sqrt(4) = 2 = 2/1 showing that sqrt(4) is rational. We can write it as a fraction of two whole numbers, where 0 is not in the denominator.

-------

In contrast, we cannot write sqrt(2), sqrt(3), or sqrt(5) as a fraction of two whole numbers. Using your calculator, note how

sqrt(2) = 1.4142135623731

sqrt(3) = 1.73205080756888

sqrt(5) = 2.23606797749979

all of those decimal expansions go on forever without any pattern, which is a sign that those numbers are irrational. If they were rational, then a pattern would repeat at some point or the decimals would terminate at some point.

Answer:

a, b, d are irrational

Step-by-step explanation:

root 2 = 0.414.....

root 3 = 0.732.....

root 5 = 2.236.....

Hope this helps.....

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Avani is building a rectangular play area. The length of the play area is 7.5 meters. The width of the play area is 5.3 meters. If she wants to cover the area in foam, how much foam does she need to buy? Due to the accuracy of the tape measure Avani used, the amount of foam needed to cover the play area is A.39 B.39.75 C.39.8 D.40

Answers

Answer:

Step-by-step explanation:

Area of the rectangle length x width

7.5x5.3 =39.75 sq.m

so, B is the correct answer.

If a square has a side of length 3, then it’s area is 9. This square has a side of length 3, so it’s area is 9. Is it valid or invalid?

Answers

Answer:

Yes it is valid

Step-by-step explanation:

A square is a geometric shape which is also known as a Quadrilateral. This means that it has 4 sides.

For a square, it's 4 sides are equal to one another or we can put it in other words as the length of the 4 sides of a square are congruent to one another.

From the above question, we are asked that:

"If a square has a side length of 3, it's area is 9. Is it valid or invalid?"

The above statement is valid. This is because, the formula for the Area of a Square is given as

L × L = L²

Where L = Side length = 3

Area = 3 × 3 = 3²

Area = 9

Therefore, the statement is valid.

the work in an office takes 180 hours to complete every work
each person in the office works for 35 hours a week
what is the smallest number of people needed to complete the work?​

Answers

Answer:

Minimum People required = 5

Step-by-step explanation:

Total hours required to complete the work every week = 150 hrs.

Number of hours worked per week by one person = 32 hr

∴ Number of people required to complete the work per week = Total number of hrs to complete the work ÷ No of hrs work per person

∴ Number of people = 150 ÷ 32

∴ Number of people = 4.6875

This is the minimum number of people. But no of people cannot be a fraction.

Thus, rounding the number to next integer.

∴ Smallest number of people needed to complete the work = 5

How do you graph y=2/3x-4

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

You can use a graphing calculator.

▹ Step-by-Step Explanation

Attached is a screenshot.

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

See explanation and picture attached

Step-by-step explanation:

We can break down this expression into it's core components:

Since the constant here is -4, the y intercept is -4.

Since the value we are multiplying x by is [tex]\frac{2}{3}[/tex], the slope is  [tex]\frac{2}{3}[/tex]. This means for every time we go horizontal 3 units, the line increases by 2.

The graph is attached.

Hope this helped!

Tony knew there was a solution to his math problem in one of four textbooks. He got some information from his classmates about it: Andy: "The solution is in either book 1 or 2"; Billy: "The solution is in either book 3 or 4"; Charlie: "The solution is in book 4"; Danny: "There is no solution in book 3". Emily helped Tony by saying that only one of his classmates was right, and the other three were mistaken. Which book has the solution in it?

Answers

Answer:

Charlie is the right person.

Step-by-step explanation:

The right person is Charlie because he was sure of what he was saying. Others were not sure making them mention two textbooks while Danny didn't answer the question Tony asked because he was talking about the one that doesn't have the solution.

What are three collinear points on line l?

points A, B, and F
points A, F, and G
points B, C, and D
points B, F, and G

Answers

Answer:

Points A, F, and G are three collinear points on line l.

Step-by-step explanation:

Answer:

Points A, F and G

Step-by-step explanation:

Simplify the radical

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt[3]{54c}=\sqrt[3]{3*3*3*2c} =3\sqrt[3]{2c}[/tex]

A small toy car costs $3. A large toy car costs 5 times as much as the small one. Aaron wants to buy one of each. Which equation can he use to find the cost (a) of the two cars?

Answers

Answer: He can use 3 x 5 = 15 and 15 + 3.

Step-by-step explanation:

Since a small car is $3, and the large car is 5x the price of the small car, he can use the equation 3 x 5 = 15, because the small car is $3, and the large car is 5x the price. You can use 15 + 3 = 18, because the small car is $3, so you also have to add that.

Here to help!

The equation is x + 5x = 18 , where x is the cost of small toy car and the total cost of the two cars = $ 18

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total cost of the two cars be A

Now , the equation will be

Let the cost of the small toy car be = x

The cost of small toy car = $ 3

The cost of the large car = 5 x cost of small toy car

Substituting the values in the equation , we get

The cost of the large car = 5 x 3

The cost of the large car = $ 15

So , the cost of two cars = x + 5x

Substituting the values in the equation , we get

The total cost of the two cars A = 15 + 3

The total cost of the two cars A = $ 18

Therefore , the value of A is $ 18

Hence , the equation is A = x + 5x

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On a plane trip, baggage over 40 pounds is charged at the rate per pound of 1% of the one-way fare. The charge for a bag weighing 52 pounds on a trip where the one-way fare is $98 is:

Answers

Answer:

$11.76 is the charge for bag.

Step-by-step explanation:

Given:

One way fare = $98

Weight of bag = 52 pounds

Rate per pound Charges on baggage over 40 pounds = 1% of the one-way fare

To find:

Charge for bag = ?

Solution:

Pounds more than 40 pounds = Weight of baggage - 40 pounds

[tex]\Rightarrow 52-40 = 12\ pounds[/tex]

Charges on extra baggage = 1% of one-way fare multiplied by pounds more than 40.

Here one way fare is $98.

So, charges on extra baggage will be:

[tex]1\%\ of\ 98 \times (52-40) \\\Rightarrow 1\%\ of\ 98\times (12)\\\Rightarrow \dfrac{1}{100}\ of\ (98 \times 12)\\\Rightarrow \dfrac{1}{100}\times (98 \times 12)\\\Rightarrow \bold{\$11.76}[/tex]

So, the charge for the baggage is $11.76.

A line passes through point (4,-3) and has a slope of 5/4. Write an equation in Ax + By = C

Answers

Answer:

The answer is

5x - 4y = 32

Step-by-step explanation:

To write an equation of a line using a point and slope use the formula

y - y1 = m(x - x1)

where

m is the slope

(x1 , y1) is the point

So we have

Equation of the line using point (4 , -3) and slope 5/4 is

[tex]y + 3 = \frac{5}{4} (x - 4)[/tex]

Multiply through by 4

4y + 12 = 5(x - 4)

4y + 12 = 5x - 20

5x - 4y = 20 + 12

The final answer is

5x - 4y = 32

Hope this helps you

Write an equation for a parabola with a focus of (1,-2) and a directrix of y=6

Answers

Answer:

y = - [tex]\frac{1}{16}[/tex](x - 1)² + 2

Step-by-step explanation:

Any point (x, y) on the parabola is equidistant from the focus and the directrix.

Using the distance formula

[tex]\sqrt{(x-1)^2+(y+2)^2^}[/tex] = | y - 6 |

Square both sides

(x - 1)² + (y + 2)² = (y - 6)² ( expand the factors in y )

(x - 1)² + y² + 4y + 4 = y² - 12y + 36 ( subtract y² - 12y from both sides )

(x - 1)² + 16y + 4 = 36 ( subtract 4 from both sides )

(x - 1)² + 16y = 32 ← subtract (x - 1)² from both sides )

16y = - (x - 1)² + 32 ( divide all terms by 16 )

y = - [tex]\frac{1}{16}[/tex] (x - 1)² + 2

The family size bottle of sunscreen holds 12121212 fluid ounces (fl oz)(\text{fl oz})(fl oz)(, start text, f, l, space, o, z, end text, )of sunscreen. The regular bottle holds 75%75\%75%75, percent less.How many fewer fluid ounces does the regular bottle of sunscreen hold?

Answers

Answer:

The regular bottle holds 9 fl oz less

Step-by-step explanation:

Given

Family Size =  12 fl oz

Required

Determine the size held less by the regular bottle

From the question, we have that the regular bottle holds 75% less;

[tex]Regular\ Size = 75\% * Family\ Size[/tex]

Substitute 12 fl oz for Family Size

[tex]Regular\ Size =75\% * 12\ fl\ oz[/tex]

Convert percentage to fraction

[tex]Regular\ Size = \frac{75}{100} * 12\ fl \oz[/tex]

[tex]Regular\ Size = \frac{75 * 12\ fl\ oz}{100}[/tex]

[tex]Regular\ Size = \frac{900\ fl\ oz}{100}[/tex]

[tex]Regular\ Size = 9\ fl\ oz[/tex]

Hence, the regular bottle holds 9 fl oz less

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The inverse of the function graphed below is a function.A. TrueB. False What was the first conflict theory in sociology? .is the highest education degree available at a community college. For which function is the ordered pair (4, 12) not a solution? y = 3 x y = 16 - x y = x + 8 y = 8 - x What is fitness, according to the American College of Sports Medicine? A. Fitness is the ability to carry out daily tasks without being overly tired. B. Fit people do not have the energy to complete everyday work. C. Fitness is the ability to perform only very light levels of physical activity. D. Fitness is the ability to perform moderate levels of exercise only while you are young. In the image above the ruler is measuring in centimeters. The blue cylinder falls somewhere between 2.7cm and 2.8cm according to the ruler. Since we can estimate the last digit I would say that the length of the cylinder is 2.76cm. Since I am estimating any number 2.72cm or 2.78cm could also be correct. Why would 2.755 not be a correct measurement according to estimating the last digit? Radar is used to determine distances to various objects by measuring the round-trip time for an echo from the object. (a) How far away (in m) is the planet Venus if the echo time is 900 s? m (b) What is the echo time (in s) for a car 80.0 m from a Highway Patrol radar unit? s (c) How accurately (in nanoseconds) must you be able to measure the echo time to an airplane 12.0 km away to determine its distance within 11.5 m? ns How do -11.5 and -9.5 compare? Choose the correct symbol.-11.5 _ -9.5A. The combination of a carbonyl group and a hydroxyl group on the same carbon atom is called a ________ group.a. carbamate group b. carbonate c. carboxlate d. carboxyl The only force acting on a 3.4 kg canister that is moving in an xy plane has a magnitude of 3.0 N. The canister initially has a velocity of 2.5 m/s in the positive x direction, and some time later has a velocity of 4.8 m/s in the positive y direction. How much work is done on the canister by the 3.0 N force during this time Find the value of x. 10.7 LAB: Fat-burning heart rate Write a program that calculates an adult's fat-burning heart rate, which is 70% of 220 minus the person's age. Complete fat_burning_heart_rate() to in a class of 40 students, 30 students read chemistry, 40 students read physics, if all students read at least one of the subject, find the probability a students is selected at random will read only chemistry I keep getting this error: postfix.cpp: In function double RPN_evaluation(std::string): postfix.cpp:42:26: error: cannot convert __gnu_cxx::__alloc_traits > >::value_type {aka std::basic_string } to char for argument 1 to int isOperand(char) if(isOperand(expr.at(g))){ ^ postfix.cpp:96:1: warning: control reaches end of non-void function [-Wreturn-type] } I am not sure what I am doing wrong, help please 8. Mark chose a number between 0.437 and 0.436 and multiplied it by 4. Then, hesubtracted 20 from this product. Next, he took three-fourths of this difference and got y.Finally, he took the original number, added twelve to it, tripled it, and subtracted it from y.What was his final answer?A. -56B. -51C. 16D. 21E. Not enough information All the simple machines make work easier to do by changing the _____ or _____ of a force. A. size; type B. work; type C. size; direction D. type; direction In order for a pea plant to show a recessive trait, what alleles must be present?A. two dominant allelesC. one dominant and one recessive alleleB. two recessive allelesD. none of the above Tina and Tom are co-workers at Acme Corporation.As night custodians,they work together cleaning the Acme office building at night when the building is empty.Tom regularly makes sexual advances toward Tina that distress her.However,Tina has never complained about Tom's conduct to her supervisor,Mary,who only works during the day.Which of the following statements is most accurate? A) Acme Corporation is strictly liable for Tom's harassment of Tina. B) Acme Corporation may defend that it did not know about Tom's harassment of Tina. C) Acme Corporation is not liable because Tom is not Tina's supervisor. D) Acme Corporation is not liable because Tina voluntarily accepted the job of a night custodian. Which would have a bigger effect on an organism, an error during transcription or a point mutation? the cylindrical part of an architectural column has a height of 305 cm and a diameter of 30 cm find the volume of the cylindrical part of the column.use 3.14 for pi and round youre answer to the nearest cubic centimete if needed.