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3 years ago

Which expression is equivalent to 8(u + 3)?

Mathematics

1 answer:

Korolek [52]3 years ago

5 0

Answer:

Step-by-step explanation:

$8(u+3)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(8)(u)+(8)(3)=8u+24$

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the 43rd term of an arithmetic sequence is -671 and the 52nd term is -806. find the first term and the common difference.

Bond [772]

Answer:

First term = -41.

Common difference = -15.

Step-by-step explanation:

nth term: an = a1 + (n - 1)d where a = first term and d = the common difference.

-671 = a1 + (43 - 1)d

-806 = a1 +(52 - 1)d

-671 = a1 + 42d

-806 = a1 + 51d

Subtracting ( to eliminate a1):

-671 - (-806) = 42d - 51d

-9d = 135

d = -15

Substitute for d in the first equation:

-671 = a1 + 42*-15

-671 = a1 - 630

a1 = -671 + 630 = -41.

3 0

2 years ago

Plz help with 1, 2, 3, 4, 8th grade math

bagirrra123 [75]

you need to add for number one you need to subtract for number two you need to add for number 3 you need to subtract for number 4

5 0

3 years ago

What is the ratio 14/15 expressed in simplest form? <br><br><br><br> PLZZ HELP!

agasfer [191]

14 and 15 have no common factor except ' 1 ' ,
so the fraction 14/15 can't be simplified.

It's already in the simplest available form ("lowest terms").

3 0

3 years ago

The cylinder shown has a radius of 3 inches. The height is three times the radius. Find the volume of the cylinder. Round your s

MrRa [10]

Answer:

254.5 Inches Cubed

Step-by-step explanation:

Formula for Finding the Volume of a Cylinder: $V=\pi r^2h$

The radius is 3 inches.

$r=3$

The height is three times the radius.

Multiply the radius by three to get the height.

$h=3*3\\h=9$

The height is 9 inches.

Use the formula to find the volume.

$\pi (3)^29= \pi (9)9=81\pi$

The exact volume is 81 $\pi$ inches cubed.

$81 * \pi$ ≈ 254.47

254.47 ≈ 254.5

The volume of the cylinder should be about 254.5 inches cubed.

3 0

3 years ago

A, B & C form the vertices of a triangle.

kirza4 [7]

<h3>Answer: 20.3</h3>

Work Shown:

tan(angle) = opposite/adjacent

tan(B) = AC/AB

tan(67) = x/8.6

8.6*tan(67) = x

x = 8.6*tan(67)

x = 20.2603303460843 ... make sure your calculator is in degree mode

x = 20.3 .... rounding to 3 significant figures

see diagram below

6 0

3 years ago