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2 years ago

2x^3-3x^2+kx-1 is divided (x-1),the remainder is 2 find k

Mathematics

1 answer:

Debora [2.8K]2 years ago

7 0

Answer:

k = 4

Step-by-step explanation:

if f(x) is divided by (x - h) then f(h) is the remainder

f(x) = 2x³ - 3x² + kx - 1

divided by (x - 1) , so h = 1 , then

2(1)³ - 3(1)² + k(1) - 1 = 2

2 - 3 + k - 1 = 2

- 2 + k = 2 ( add 2 to both sides )

k = 4

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A two-factor between-subjects design is evaluated. The F-value for Factor A has df = 1, 40 and the F-value for Factor B has df =

finlep [7]

Answer:

The df values for the A x B interaction are also 3,40

Step-by-step explanation:

The F-value for Factor A has df = 1, 40

The F-value for Factor B has df = 3, 40.

The df values for the A x B interaction are also 3,40

This is because the source of variation between columns has ( c- 1); rc(n-1) degrees of freedom and the source of variation between rows has (r-1); rc(n-1) degrees of freedom and the source of variation of interaction

(between rows and columns) has ( c-1) ( r-1); rc(n-1) degrees of freedom.

Therefore

Factor A: ( c- 1); rc(n-1) = 1,40

<u>Factor B: (r-1); rc(n-1) = 3,40</u>

Interaction : ( c-1) ( r-1); rc(n-1) = 3*1,(40)= 3,40

where c refers to columns , r refers to rows and n refers to the total sample size.

5 0

2 years ago

Use The Divergence Theorem To Calculate The Surface Integral and Sis a sphere centered at the origin with a radius of 2. Confirm

marin [14]

Answer: hi your question is incomplete below is the complete question

Use the Divergence Theorem to calculate the surface integral S F dS   with F x y z = , , and S is a sphere centered at the origin with a radius of 2. Confirm your answer by computing the surface integral

answer : surface integral = 384/5 π

Step-by-step explanation:

Representing the vector field as

F ( x, y , z ) = ( a^3 + y^3 ) + ( y^3 + z^3 ) + ( Z^3 + x^3 ) k

assuming the sphere ( s) with radius = 2 be centered at Origin of the vector field.

Hence the divergence will be represented as :

Attached below is the detailed solution

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2 years ago

Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24a^2 – 18 square units. Which i

netineya [11]

we know that

The area of the hexagon is equal to the sum of the areas of the six equilateral triangles

Let

x-------> area of one equilateral triangle

$6x=24a^{2} -18$

Divide by $6$ both sides

$x=4a^{2} -3$ -------> area of one equilateral triangle

To find an equivalent expression for the area of the hexagon based on the area of a triangle, multiply the area of one equilateral triangle by $6$

$6*(4a^{2} -3)$

therefore

the answer is

The equivalent expression is equal to $6*(4a^{2} -3)$

6 0

2 years ago

Read 2 more answers

Joseph has a job walking dogs and gets paid per dog. He needs to walk 45 dogs to earn enough money to pay for his soccer team fe

rusak2 [61]

Using proportions, it is found that it will take him 22.5 hours to walk the 45 dogs.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

He walks 3 dogs in 1 hour and 30 minutes, we means that the time in hours it takes for him to walk a dog is:

t = 1.5/3 = 0.5 hours.

Hence the time it will take him to walk 45 dogs is given by:

45 x 0.5 = 22.5 hours.

More can be learned about proportions at brainly.com/question/24372153

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1 year ago

Please answer : <br> (File below)

mars1129 [50]

Answer:

Step-by-step explanation:

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2 years ago