What is remainder when x³ 2x² X 1 is divided by X?

Answers

Answer 1

The remainder when x³ - 2x²+ X + 1 is divided by X - 1  is 1.

What is Remainder theorem?

The polynomial remainder theorem, also known as little Bézout's theorem, is an algebraic application of Euclidean polynomial division. It says that f is equal to the remainder of dividing a polynomial f(x) by a linear polynomial (x-r) is f(r).

Given:

\(f(x) = x^3 - 2x^2 + x + 1\)

We have to find the remainder of polynomial f(x) when divided by (x - 1).

By using the Remainder theorem, the remainder of f(x) when divided by

(x - r) is f(r).

Here we have to find the value of f(1).

Plug x = 1 is given polynomial f(x).

\(f(1) = (1)^3 - 2(1)^2 + 1 + 1\\f(1) = 1 - 2 + 2\\f(1) = 1\)

Hence, the remainder when x³ - 2x²+ X + 1 is divided by X - 1  is 1.

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Complete question:

Find the remainder when x³-2x²+x+1 is divided by x-1.


Related Questions

Find the greatest odd integer value of x that satisfies the inequality -3x > -105.​

Answers

Answer:

Step-by-step explanation:

X>35

Answer:

x = -37

Step-by-step explanation:

x < -\(\frac{-105}{3}\)

divide 105 by 3, we get -35

however the question asked for the 'greatest odd' integer 35 which is 37 since x is less than -35

Please answer #1 for me only ! What is my Y for #1 , don't forget to graph !​

Please answer #1 for me only ! What is my Y for #1 , don't forget to graph !

Answers

the table and the graph is shown in the following picture
Please answer #1 for me only ! What is my Y for #1 , don't forget to graph !

Please Help I really need this to not get behind in my math class.

I would award more points but I fear people are just gonna answer with no actual answer and just for points….

Please Help I really need this to not get behind in my math class. I would award more points but I fear

Answers

Answer:

1. 12x+19

2.11x+16

3.54

4.3x+5x+8

Step-by-step explanation:

I first wrote the question and grouped like terms.So after grouping these you will get x+2x+8x +x +7 + 2+10 .When you simplify you wil get 12x+19 . If you don't understand comment me

$2000 was invested for 3 years . it earned $204 in interest. what was the rate

Answers

Answer:it is $12,240

Step-by-step explanation:

given: principal=$2000

          time=3 years

           interest=$204

he genearal formular of RATE = I*P*T/100

from the formular= P*R*T( RATE WITH 100, because the  rate is calculated over 100)

=$204*3*$2000/100

=$12,240

Express 7.6109 x 108 in standard form.
A. O 7,610,900,000
B. O 76,109,000
C.O 761,090,000
D. O 0.000000076109

Answers

7.6109 x 10^8 = 761,090,000 (C)

(5) i need help with my math HW I'm stuck with this problem show all ur steps for y & x ​

(5) i need help with my math HW I'm stuck with this problem show all ur steps for y &amp; x

Answers

A graph of this system of equations on a coordinate plane is shown in the image attached below.

How to graph the solution to this system of inequalities?

In order to to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

y = 2x/5 + 4     ......equation 1.

-2x + 5y = -30     ......equation 2.

Making y the subject of formula in equation 2, we have the following:

5y = 2x - 30

Dividing both sides of the equation by 5, we have:

y = 2x/5 - 30

Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is non existent because the lines are parallel.

In conclusion, the given system of equations has no solution.

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(5) i need help with my math HW I'm stuck with this problem show all ur steps for y &amp; x

Please help me with this homework

Please help me with this homework

Answers

Answer:sasa

Step-by-step explanation:

Please help! If this pentagon is reflected across the x then rotated 90 degrees about the origin What would be the cords?

Please help! If this pentagon is reflected across the x then rotated 90 degrees about the origin What

Answers

Answer:

d (5, 1)

Step-by-step explanation:

after reflection: 1, -5

after rotation: 5, 1

pls mark brainliest :)

The coordinates of B' is (5, 1)

What is Translation?

Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.

There are 4 simple transformations which are; translation, reflection, rotation, and dilation.

Given:

The coordinates of B is (1, 5)

After reflection over x- axis the coordinates of B is (1, -5)

and, After rotation the the coordinates of B is (5, 1)

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Match the system of equations on the left with the appropriate solution on the right: 2x - y = 7 3x + y = 3 No solution (-2, - 3) 2x + 3y = 8 3x - 2y = ~ 14 (=2,4) ~3) 3x - 2y = /2 Infinite number of solutions 6x - 4y = 24 2x - 3y = 6 4x + 6y = 12

Answers

To match the system of equations on the left with the appropriate solution on the right, let's analyze each system: 2x - y = 7; 3x + y = 3.

The solution is: No solution; 2x + 3y = 8; 3x - 2y = -14. The solution is: (-2, -3). 3x - 2y = 1/2; 6x - 4y = 24. The solution is: Infinite number of solutions: 2x - 3y = 6; 4x + 6y = 12. The solution is: (2, 4). Therefore, matching the systems of equations with their appropriate solutions, we have: System: 2x - y = 7, 3x + y = 3; Solution: No solution. System: 2x + 3y = 8, 3x - 2y = -14. Solution: (-2, -3).

System: 3x - 2y = 1/2, 6x - 4y = 24. Solution: Infinite number of solutions; System: 2x - 3y = 6, 4x + 6y = 12. Solution: (2, 4).

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Final answer:

The question is about solving systems of equations to match with their respective solutions. Due to the unclear formatting of the solutions provided in the question, an accurate match cannot be made. The solution to a system of linear equations would typically be in the form of an ordered pair (x, y).

Explanation:

The system of equations listed can be matched with their solutions by solving these systems simultaneously to find the values of x and y. Let's proceed to solve the following systems:

2x - y = 7 and 3x + y = 3 2x + 3y = 8 and 3x - 2y = ~14 3x - 2y = /2 and 6x - 4y = 24 2x - 3y = 6 and 4x + 6y = 12

We can solve these systems by either substitution, elimination, or using matrix math. But it's not completely clear what the solutions on the right are, they're not properly formatted, which prevents an accurate solution from being identified. A solution to a linear system would take the form of an ordered pair (x, y).

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prove that a set s of vectors is linearly independent if and only if each finite subset of s is linearly independent.

Answers

A set s of vectors is linearly independent if and only if each finite subset of s is linearly independent.

To prove that a set s of vectors is linearly independent if and only if each finite subset of s is linearly independent, we need to prove both directions of the statement.

First, we will prove that if a set s of vectors is linearly independent, then each finite subset of s is linearly independent.

Suppose s is a linearly independent set of vectors. Let F be a finite subset of s. We want to show that F is linearly independent as well.

Assume for contradiction that F is linearly dependent. Then, there exist scalars c1, c2, ..., cn, not all zero, such that:

c1v1 + c2v2 + ... + cnvn = 0

where v1, v2, ..., vn are the vectors in F. Since s contains all the vectors in F and s is linearly independent, it follows that the coefficients c1, c2, ..., cn must all be zero. But this contradicts the assumption that not all the coefficients are zero. Hence, F must be linearly independent.

Next, we will prove that if each finite subset of a set s of vectors is linearly independent, then s itself is linearly independent.

Suppose that each finite subset of s is linearly independent. We want to show that s is linearly independent as well.

Assume for contradiction that s is linearly dependent. Then, there exist scalars c1, c2, ..., cn, not all zero, such that:

c1v1 + c2v2 + ... + cnvn = 0

where v1, v2, ..., vn are the vectors in s. Let F be the finite subset of s consisting of the vectors v1, v2, ..., vm, where m is the smallest index such that c1v1 + c2v2 + ... + cmvm ≠ 0. Then, m ≥ 2, since s is linearly dependent.

Since F is a finite subset of s, it must be linearly independent. Therefore, the coefficients c1, c2, ..., cm in the equation above must all be zero, since m was chosen to be the smallest index such that the equation is non-zero. But this contradicts the assumption that not all the coefficients are zero. Hence, s must be linearly independent.

Therefore, we have proved both directions of the statement, and hence, we have proved that a set s of vectors is linearly independent if and only if each finite subset of s is linearly independent.

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What is a 1-sample t-test used for?

Answers

A 1-sample t-test is a statistical method used to determine whether a sample of data is significantly different from a known or hypothesized population mean.

It is a common method used in scientific research and it can be used to test hypotheses in many different fields. The t-test compares the mean of a sample to a population mean, and it uses the t-distribution to calculate the probability that the sample mean is significantly different from the population mean. To perform a 1-sample t-test, you need to have a sample of data and a known or hypothesized population mean, and the test assumes that the data is normally distributed and that the variances between the sample and population are equal.

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can SOMEONE plz HELP!?!?!

can SOMEONE plz HELP!?!?!

Answers

Answer:

a. 100 m

b. 900 m

c. 5,100 m

d. 8,800 m

e. -650 m

Step-by-step explanation:

there is a number that if you multiple it by 5 first, and then add 6 to the result, you get 91. what’s the number?

Answers

Answer:

Step-by-step explanation:

Do 91-6 which equals 85. Then do 85/5 which equals 17

answer: 17

Answer:

17

Step-by-step explanation:

So first we write an equation

5x+6=91

subtract 6 from both sides

5x=85

divide by 5

so x=17

(plz give me brainliest)

Mrs Nu paid $2083 for 2 smiler laptops and 3 similar earphones. Each laptop cost of each earphones?​

Answers

Answer:

Step-by-step explanation:

The information given is incomplete :

Answer:

x = 1/2(2083 - 3y)

y = 1/3(2083 - 2x)

Step-by-step explanation:

Let

Laptop cost = x

Earpiece cost = y

Number of laptops= 2

Number of earpiece = 3

2x + 3y = $2083

The cost per laptop :

2x = 2083 - 3y

Divide both sides by 2

x = (2083 - 3y) / 2

x = 1/2(2083 - 3y)

Or

3y = 2083 - 2x

y = (2083 - 2x) / 3

y = 1/3(2083 - 2x)

If x = -2, what is y = ?

Y = ?

If x = -2, what is y = ?Y = ?

Answers

Answer:

y = 2

Step-by-step explanation:

locate x = - 2 on the x- axis, go vertically up to meet the graph at (- 2, 2 )

that is when x = - 2 then y = 2

Answer:

y = 2

Step-by-step explanation:

If x = -2, what is y = ?Y = ?

Solve the following initial value problem. y' (t) - 2y = 6, y(2) = 2 Show your work for solving this problem and your answer on your own paper. y(t) = (Type an exact answer in terms of e.)

Answers

The solution to the initial value problem. y' (t) - 2y = 6, y(2) = 2 is  y(t) = -3 + (5/e^4)e^(2t)..

To solve the initial value problem y'(t) - 2y = 6 with y(2) = 2,

we will use an integrating factor and the given initial condition. Here's the step-by-step solution:

1. Identify the integrating factor: The integrating factor is e^(-2t).

2. Multiply the equation by the integrating factor: e^(-2t)y'(t) - 2e^(-2t)y = 6e^(-2t).

3. Observe that the left side of the equation is the derivative of the product y(t)e^(-2t): (y(t)e^(-2t))' = 6e^(-2t).

4. Integrate both sides with respect to t: ∫(y(t)e^(-2t))' dt = ∫6e^(-2t) dt.

5. Integrate: y(t)e^(-2t) = -3e^(-2t) + C.

6. Solve for y(t): y(t) = -3 + Ce^(2t).

7. Apply the initial condition y(2) = 2: 2 = -3 + Ce^(4).

8. Solve for C: C = (5/e^4).

9. Substituting C back into the solution for y(t): y(t) = -3 + (5/e^4)e^(2t).
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Drag and drop the range of each data set into the boxes. Team 1 Team 2 Range Two line plots aligned vertically so that their labels match. The first line plot is from 72 to 82, is labeled Team 1, and shows the following values that appear as x marks above the line. One x mark above 73. Two x marks above 74. Two x marks above 75. Three x marks above 76. Two x marks above 77. One x mark above 78. One x mark above 80. The second line plot is also from 72 to 82, is labeled Team 2, and shows the following values that appear as x marks above the line. One x mark above 74. Two x marks above 75. Four x marks above 76. Two x marks above 77. One x marks above 78. One x mark above 79. One x mark above 80. 6 7 10 76?

Answers

The range of data for Team 1 is 72 to 82, while the range for Team 2 is also 72 to 82. The range represents the span between the lowest and highest values in a dataset.

In the given scenario, there are two line plots representing Team 1 and Team 2. Both line plots are aligned vertically, with labels matching the respective teams. The range for both datasets is from 72 to 82, indicating that the data points range from the lowest value of 72 to the highest value of 82.

For Team 1, the line plot displays x marks above the line for different values. There is one x mark above 73, two x marks above 74, two x marks above 75, three x marks above 76, two x marks above 77, one x mark above 78, and one x mark above 80.

Similarly, for Team 2, the line plot also shows x marks above the line for different values. There is one x mark above 74, two x marks above 75, four x marks above 76, two x marks above 77, one x mark above 78, one x mark above 79, and one x mark above 80.

Therefore, the range of the data for both Team 1 and Team 2 is the same, from 72 to 82. The range represents the full span of values covered by the dataset, indicating the extent of variability in the data.

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can someone please help me

The measure of the angle formed at the center of anoxygen atom in a water molecule is about 105. The angles formed at each hydrogen atom are congruent. What is the size of the angle at each hydrogen atom?​

can someone please help me The measure of the angle formed at the center of anoxygen atom in a water

Answers

Answer:
I believe that the remaining angles are both 37.5 degrees.

Explanation: The sum of the interior angles of a triangle equal 180 degrees. 180-105= 75. The two remaining angles are congruent. So 75 divided by 2 gives the measurement of each angle. Please tell me if I am correct.
All 3 angles = 180...if one angles measures 105, the other 2 have to add up to 75. Since they told us the other to angles are the same (“congruent”), divide 75 into 2 equal parts...75/2=37.5.
So the measure of the other 2 angles are both 37.5

Please I need helppppll

Please I need helppppll

Answers

Answer:

4 cases of oil

Step-by-step explanation:

Answer:

qwerty ur mother

Step-by-step explanation:

Pls solve with all steps​

Pls solve with all steps

Answers

The results of the expressions involving logarithms are listed below:

Case 1: 1 / 2

Case 2:

Subcase a: 0

Subcase b: 11 / 2

Subcase c: - 11 / 2

How to simplify and evaluate expressions involving logarithms

In this problem we have a case of an expression involving logarithms that must be simplified and three cases of expressions involving logarithms that must be evaluated. Each case can be solved by means of the following logarithm properties:

㏒ₐ (b · c) = ㏒ₐ b + ㏒ₐ c

㏒ₐ (b / c) = ㏒ₐ b - ㏒ₐ c

㏒ₐ cᵇ = b · ㏒ₐ c

Now we proceed to determine the result of each case:

Case 1

㏒ ∛8 / ㏒ 4

(1 / 3) · ㏒ 8 / ㏒ 2²

(1 / 3) · ㏒ 2³ / (2 · ㏒ 2)

㏒ 2 / (2 · ㏒ 2)

1 / 2

Case 2:

Subcase a

㏒ [b / (100 · a · c)]

㏒ b - ㏒ (100 · a · c)

㏒ b - ㏒ 100 - ㏒ a - ㏒ c

3 - 2 - 2 + 1

0

Subcase b

㏒√[(a³ · b) / c²]

(1 / 2) · ㏒ [(a³ · b) / c²]

(1 / 2) · ㏒ (a³ · b) - (1 / 2) · ㏒ c²

(1 / 2) · ㏒ a³ + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · ㏒ a + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · 2 + (1 / 2) · 3 + 1

3 + 3 / 2 + 1

11 / 2

Subcase c

㏒ [(2 · a · √b) / (5 · c)]⁻¹

- ㏒ [(2 · a · √b) / (5 · c)]

- ㏒ (2 · a · √b) + ㏒ (5 · c)

- ㏒ 2 - ㏒ a - ㏒ √b + ㏒ 5 + ㏒ c

- ㏒ (2 · 5) - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- ㏒ 10 - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- 1 - 2 - (1 / 2) · 3 - 1

- 4 - 3 / 2

- 11 / 2

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A pair of designer sneakers was purchased for $120. Since they were purchased, their price has decreased by 15%

Answers

Complete question :

A pair of designer sneakers was purchased for $120. Since they were purchased, their price has increased by 15%. What is the new price?

Answer:

$138

Step-by-step explanation:

Given that :

Initial price = $120

Percentage increase in price = 15%

The new price of sneakers:

Initial price + (percentage increase in price * initial price)

New price :

$120 + (15% * $120)

New price :

$120 + (0.15 * $120)

New price of sneakers :

$120 + $18

New price of sneakers = $138

need help with algerba 2

need help with algerba 2

Answers

F(4)4 is the x value 4. Find where the line is on th y axis at x = 4

The dot is between 60 and 70 so the answer would be 64

Answer: D. 64

Answer:

the answer is d

Step-by-step explanation:

if you look on the graph where the x-value equals 4, the y-value of that point is your answer and d is the only value in that range

Question 5 of 9Which of the expressions are equivalent to the one below? Check all thatapply.6.(2+8)I A. (8 + 2). 6OB. 6. (8 + 2)O C. 6. 2) + 8O d. 6.2 + 6.8SUBMIT

Question 5 of 9Which of the expressions are equivalent to the one below? Check all thatapply.6.(2+8)I

Answers

We have the expression:

\(6\cdot(2+8)\)

We can solve the parenthesis and then multiply or we can apply the distibutive property before the addition.

1) Solving the parenthesis first:

\(6\cdot(2+8)=6\cdot10=60\)

2) Applying the distributive property:

\(6\cdot(2+8)=6\cdot2+6\cdot8=12+48=60\)

If we look at each of the expressions, we can find if they are equivalent of not.

A) Equivalent. In this case, we are applying the commutative property of the multiplication (you can multiply in any order).

\(6\cdot(2+8)=(2+8)\cdot6\)

B) Equivalent. In this case, the commutative property of the addition is applied, as we can sum in any order.

\(6\cdot(2+8)=6\cdot(8+2)\)

C) Not equivalent. Is the distributive property but applied wrong: the 6 has to also multiply the 8.

\(6\cdot(2+8)\neq(6\cdot2)+8\)

D) Equivalent. This is the application of the distributive property.

\(undefined\)

Draw the image of Quadrilateral ABCD translated -2 units horizontally and 5 units vertically. Label the image points using prime notation. (in other words Rule: (x, y) --> (x-2, y+5) )

Draw the image of Quadrilateral ABCD translated -2 units horizontally and 5 units vertically. Label the

Answers

The image of Quadrilateral ABCD after transformation is shown in graph with coordinates A' (0, 2), B' (2, 4), C' (5, 4) and D' (4, 3).

What is Transformation?

Transformation is the act or process of changing completely.

The rule of transformation is given as;

(x, y) --> (x-2, y+5)

Now, The coordinates of Quadrilateral ABCD are;

A (2, -3) , B (4, -1), C (7, -1) and D (6, -2)

Apply the rule of transformation to find the coordinates of the image of Quadrilateral ABCD as;

A' (2-2, -3+5) = (0, 2)

B' (4-2, -1+5) = (2, 4)

C' (7-2, -1+5) = (5, 4)

D' (6-2, -2+5) = (4, 3)

Hence, The coordinates of image of Quadrilateral ABCD are;

A' (0, 2), B' (2, 4), C' (5, 4) and D' (4, 3).

And, The image of Quadrilateral ABCD after transformation is shown in graph.

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Draw the image of Quadrilateral ABCD translated -2 units horizontally and 5 units vertically. Label the

What are some of the factors to take into consideration when opening a savings account and what information do you
need to provide?

Answers

Answer:

The factors we might take into consideration when opening a savings account is how accessible are the banks, the types of services the bank provides, customer services, and what types of rates the bank provides.

Step-by-step explanation:

Some of the factors to take into consideration when opening a savings account are;

- Interest Rate

- Minimum Cash Balance

- Wide reach of bank

- Service Charge

Some of the factors to consider when opening a savings account are;

1) Interest Rate; Savings accounts usually pay the lowest interest rates when we compare to other investment means. This is because some pay interest rate of around 6% annually while others pay lesser. Thus, it is very important to choose the bank wisely.

2) Minimum Cash Balance; Some banks require a particular minimum balance to open a savings account. Thus, it will be wise to look for a bank that doesn't require too much initial minimum opening balance.

3) Wide reach of bank; Although many transactions can now be done online but yet there are times we have to go to the banks physically and so it will be good to go with a bank that has many branches.

4) Service Charges; Banks usually have some charges which are called service charge and they range from ATM card charges, SMS charges, transaction charges. Thus, it will be good to have an idea of these charges before opening an account.

The information required to be provided to open savings account are;

- Government issued Identification Card

- Social Security Number

- Date of birth

- Address

- Contact Information like phone number, email e.t.c

- Bank account information

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Find the area of hexagon DEFGHI.

Find the area of hexagon DEFGHI.

Answers

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Find the area of hexagon DEFGHI.

A company offers four plans for customers who want to rent DVDs and video games. The cost of the plans can be modeled by a linear function that combines a one time membership fee with a per disc rental rate. The table shows the total cost, including membership fees, for a person who rents 1,2 and 5 discs in a month
Discs rented plan A B C D
1. $14. $12. $10. $12
2. $17. $16. $15. $21
5. $26. $28. $30. $48

Answers

The plan with the smallest one-time membership fee is Plan D.

The point-slope formula will be used to determine the equation that models the cost of each plans.

(y - y₁) = [(y₂ - y₁)/(x₂ - x₁)](x - x₁)

where (x₁, y₁) is the coordinates of point 1

(x₂, y₂) is the coordinates of point 2.

For the equation y = mx + b,

let x = number of discs rented

y = total cost

m = rental rate per disc

b = one-time membership fee

Plan A

(y - 14) = [(17 - 14)/(2 - 1)](x - 1)

y - 14 = 3x - 3

y = 3x + 11

Plan B

(y - 12) = [(16 - 12)/(2 - 1)](x - 1)

y - 12 = 4x - 4

y = 4x + 8

Plan C

(y - 10) = [(15 - 10)/(2 - 1)](x - 1)

y - 10 = 5x - 5

y = 5x + 5

Plan D

(y - 12) = [(21 - 12)/(2 - 1)](x - 1)

y - 12 = 9x - 9

y = 9x + 3

Hence, the plan with the smallest one-time membership fee, b, is Plan D.

Your question is incomplete, but most probably you are asking

"...Which plan has the smallest one-time membership fee?"

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Pls, Help I'll do brainiac!!!
Solve for y. Write the answer as a complete equation using no spaces.
6x+3y=12

Answers

Is this what ur looking for

6x+3y=12
-6x -6x
3y=-6x+12
3y/3=-6x/3 + 12/3
y=-2x+4

A concrete pillar has the shape of a cylinder. It has a radius of 4 meters and a height of 7 meters. If concrete costs $94 per cubic meter, how much did the concrete cost for the pillar? Use 3.14 for π , and do not round your answer.

Answers

Answer:

C = $33,057.92

The cost of the pillar is $33,057.92

Step-by-step explanation:

Given;

Radius of the concrete r = 4 m

Height h = 7 m

Cost per volume R = $94 per cubic meter

π = 3.14

The volume of the cylinder shape concrete is;

V = πr^2 h

Substituting the given values;

V = 3.14×4^2 × 7

V = 351.68 m^3

The cost of the pillar is C;

C = Volume × cost per volume

C = V × R

C = 351.68 m^3 × $94 per cubic meter

C = $33,057.92

The cost of the pillar is $33,057.92

Giving brainly for answer correctly uwu:)<3

Giving brainly for answer correctly uwu:)&lt;3

Answers

The correct answer is A.
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Kato must write 60 percent of a 20- page report by tommorow. Kato wants to determine the number of pages that he needs to write by Tommorow. Katos work is shown below What is the goal of a Public Service Announcement?A) A PSA is an announcement created by Americans to communicate with other countries.B) A PSA is an attempt to inform Americans on an important issue.C) A PSA is a persuasive advertisement trying to get Americans to buy a product.D) A PSA is a way for Americans to share their opinions on controversial topics. True or false Please help! What is the difference between politics and policy development?In what ways can politics influence policy development? Discuss how you will use the "8-Step processto critical thinking" in your personal andprofessional life. Provide examples tosupport your answers why do you think the romans were so successful in maintaining the institution of slavery for so long and with so little organized resistance? A nail artist makes 33085 a year. If they get paid semimonthly, how much do they get each paycheck? Round to the nearest cent A parallel plate capacitor has area 1 m^2 with the plates separated by 0.1 mm. What is the capacitance of this capacitor? 8.85x10^-8 F 8.85x10^-11 F 8.85x10^-12 F 10,000 F Plant Structure and Function LabTitle: Plant Structure and Function LabObjective(s):After doing this lab, you should be able to:Identify the correct plant tissues from the corresponding slides.Identify the different structures of a flower.Describe the functions of each flower structure.Describe the functions of each plant tissue.Answer the Analysis and Conclusion questions using multiple sentences.Materials:Flower (from an indoor or outdoor plant)ScissorsTapeTweezersLab ReportProcedure:Plant Tissues Part 1Review each image in your lab activity slide show. Identify the correct tissue or organ below based on each individual slide. Several of these choices may be used multiple times.phloemstomaxylemguard cellsdermalgroundvascularSlide 1 Slide 2 Slide 3 Slide 4 Slide 5a. a. a. a. a.b. b. b. b. b. c. c. c. d. Flower Dissection Part 2Pick a flower from your yard, a public location, or somewhere in your neighborhood.Start by removing the sepals of the flower with a tweezer. If you do not have a tweezer, a small pair of scissors will also work. It may be easiest to do this if you hold the flower with your finger from below the pedicel (small stalk just underneath the flower) and begin to remove the sepals with a pair of tweezers.Using tweezers, place the sepals on the labelled printable worksheet, and tape them in place.Repeat the same procedure for the petals and pistil.Remove all but one of the stamens and tape them onto the worksheet.On your printable worksheet, you should have sepals, petals, stamens and one pistil.Take a picture of your worksheet with the flower pieces placed correctly, and save it on your computer. You will attach and submit this with your assessment questions.If a flower is not accessible, you should include clear drawings or close up images for each of the required parts. Citations should be included for any images used.Data:Flower DissectionName of Flower Component Piece of Flower from Lab FunctionSepal Petals Stamen Pistil Analysis & Conclusion Part 3Plant TissuesWhat are three characteristics that all species belonging to the plant kingdom have in common?How will the numbers of stomata differ in tropical plants and desert plants? How does this help protect the health of a plant?If a plant's xylem and phloem become damaged, what type of damage will result within the plant? Describe the different roles on the xylem and phloem in your answer.Why do we compare the dermal tissue of plants to human skin? Explain your answer.Would a plant be able to survive if the ground tissue was damaged? Explain your answer.Flowering ReproductionDescribe how flowering plants reproduce.How do flowers help other organisms in our environment?Which parts of a plant are responsible for reproduction? Describe the role that each of them will play.Describe what occurs during the process of seed development.Based on your knowledge of flowers, why do you think most flowers are bright in color? Young Americans do not recognize the connection between hard work and success.Please select the best answer from the choices providedOF copy DEF to the line so that S is the vertex. This task will be complete when you have constructed an angle with vertex S that is congruent to DEF PLEASE HELP ASAP A movie theatre's daily revenue follows a normal distribution, with an average daily revenue of $3,152. The standard deviation for the distribution is $1281. What is the probability that the theatre generates more than $4,000 in revenue on a randomly selected day? This string is 5 meters long. What is the measurement of one wavelength? if quadrilateral tuvw is reflected across the x axis to become quadrilateral T'U'V'W' what will be the coordinates of W' How did the Boston Massacre influence colonialopinion of Great Britain's rule? Mara thinks that she is as good as or better than her gemelo (twin), Juan. Choose which description does NOTbelong.Cul NO dice Mara?O Yo limpio mejor que Juan.O Juan limpia ms que yo.O Soy la mejor limpiadora de la casaO Juan limpia menos que yo. Label the following diagram if the dna of a mammalian promoter region experiences increased methylation on cytosine (c) which of the following results is most likely to occur? Select the best answer: upon arrival to meet the borrower for a signing appointment, a notary signing agent must present a:____. a cost that does not affect the decision because it is not in the future or does not differ among alternatives is a(n) .