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3 years ago

Solve 15n > 12n + 18

Mathematics

2 answers:

gogolik [260]3 years ago

3 0

15n > 12n + 18
3n > 18
n > 6

IrinaVladis [17]3 years ago

3 0

Answer:

Step-by-step explanation:

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5. Which polynomial is equal to (x5 + 1) divided by (x + 1)?

Mkey [24]

Answer:

B $x^4-x^3+x^2-x+1$

Step-by-step explanation:

Given,

Dividend = $(x^5+1)$

Divisor = $(x+1)$

Step 1: First The dividend is $(x^5+1)$ and Divisor is $(x+1)$ when divided first time the quotient will be $x^4$ and remainder will be $-x^4+1$

Step: 2 Now the new dividend is $-x^4+1$ and Divisor is $(x+1)$ when divided the quotient will be $x^4-x^3$ and remainder will be $x^3+1$

Step: 3 Now the new dividend is $x^3+1$ and Divisor is $(x+1)$ when divided the quotient will be $x^4-x^3+x^2$ and remainder will be $-x^2+1$

Step: 4 Now the new dividend is $-x^2+1$ and Divisor is $(x+1)$ when divided the quotient will be $x^4-x^3+x^2-x$ and remainder will be $x+1$

Step: 5 Now the new dividend is $x+1$ and Divisor is $(x+1)$ when divided the quotient will be $x^4-x^3+x^2-x+1$ and remainder will be 0.

Hence When the polynomial $(x^5+1)$ is divided by $(x+1)$ the answer or quotient will be equal to $x^4-x^3+x^2-x+1$ and remainder will be 0.

5 0

2 years ago

Hmm..... Can someone help me please ? Thanks!

kolezko [41]

I believe it is A. Hope this helps.

6 0

2 years ago

Read 2 more answers

What two-dimensional figure will result from slicing this rectangular prism parallel to its base?

alina1380 [7]

Answer:

We will obtain a rectangle on slicing this rectangular prism parallel to it's base.

Hence, option 1) is true.

RECTANGLE.

Step-by-step explanation:

On slicing this geometrical figure; which is a rectangular prism parallel to it's base then we will obtain a figure similar to it's base of the same dimensions as it's base.

As the base of the rectangular prism is a rectangle so on slicing this 3-dimensional figure parallel to it's base we will obtain rectangles.

Hence, option 1 is true.

RECTANGLE.

8 0

2 years ago

Find the simple interest on a loan of $45,000 for 5 years at 3%.

Tasya [4]

Answer:

51,750

Step-by-step explanation:

45,000x.03=1,350

1,350x5=6750

45,000+6750=51,750

8 0

2 years ago

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An arc with length 5 pi over 4 inches is formed by a 15 degree central angle what is the radius of the circle

Natalka [10]

Answer:

Radius of the circle is 15 inches.

Step-by-step explanation:

Relation between length of arc, radius and the angle subtended by the arc on center is:

$\theta = \dfrac{l}{r} ..... (1)$

where $\theta$ is the central angle in radians subtended by arc

$l$ is the length of arc

$r$ is the radius of arc

We are Given the following details:

$l = \dfrac{5\pi}{4}\ inch$

$\theta = 15^\circ$

We know that $\pi \ radians = 180 ^\circ$

Converting $\theta$ to radians:

$\theta =\dfrac{\pi}{180} \times 15$ radians

Putting the values of $\theta$ and $l$ to find the value of $r$

$\dfrac{\pi}{180} \times 15 = \dfrac{5\pi}{4r}\\\Rightarrow r = \dfrac{45}{3} \\\Rightarrow r = 15 \ inches$

Hence, Radius of the circle is 15 inches.

6 0

2 years ago