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3 years ago

Round 8.1845062 to the nearest hundred thousandths

1 answer:

6 0

8.1845062

8.1845 << your answer.

the number 5 was in the hundred thousandths so to round it look at the next number and if it's less than 5, it stays the same but if it's more than 5 you round it up to the next number.

hope this helps, God bless!

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Factor completely x^3 + 1/8

maksim [4K]

Answer:

((2 x + 1) (4 x^2 - 2 x + 1))/8

Step-by-step explanation:

Factor the following:

x^3 + 1/8

Put each term in x^3 + 1/8 over the common denominator 8: x^3 + 1/8 = (8 x^3)/8 + 1/8:

(8 x^3)/8 + 1/8

(8 x^3)/8 + 1/8 = (8 x^3 + 1)/8:

(8 x^3 + 1)/8

8 x^3 + 1 = (2 x)^3 + 1^3:

((2 x)^3 + 1^3)/8

Factor the sum of two cubes. (2 x)^3 + 1^3 = (2 x + 1) ((2 x)^2 - 2 x + 1^2):

((2 x + 1) ((2 x)^2 - 2 x + 1^2))/8

1^2 = 1:

((2 x + 1) ((2 x)^2 - 2 x + 1))/8

Multiply each exponent in 2 x by 2:

((2 x + 1) (2^2 x^2 - 2 x + 1))/8

2^2 = 4:

Answer: ((2 x + 1) (4 x^2 - 2 x + 1))/8

5 0

3 years ago

Read 2 more answers

3x + ky = 8

sattari [20]

Answer:

(a): x is 3 and ky is -1

(b): k is -2

Step-by-step explanation:

Let: 3x + ky = 8 be equation (a)

x - 2 ky = 5 be equation (b)

Then multiply equation (a) by 2:

→ 6x + 2ky = 16, let it be equation (c)

Then equation (c) + equation (b):

${ \sf{(6 + 1)x + (2 - 2)ky = (16 + 5)}} \\ { \sf{7x = 21}} \\ { \sf{x = 3}}$

Then ky :

${ \sf{2ky = 3 - 5}} \\ { \sf{ky = - 1}}$

${ \bf{y = \frac{1}{2} }} \\ { \sf{ky = - 1}} \\ { \sf{k = - 2}}$

4 0

3 years ago

Whats the answer for number 3

Karolina [17]

cant see the full question ;/

5 0

3 years ago

A triangle has an area of 24 square units. Its height is 6 units.

devlian [24]

Area of triangle=1/2 times base times height
given that area=24 and height=6
24=1/2 times base times 6
24=1/2 times 6 times base
24=3 times base
divide both sides by 3
8=base
the base is 8 units long

4 0

3 years ago

Read 2 more answers

A bank manager wants to encourage new customers to open accounts with principals of at least $2 comma 500. He decides to make a

prisoha [69]

Answer:

To earn $10 in 1st month, the principal must be $4,000.

No, the poster cannot claim that "Open an account of $2 comma 500 and earn at least $10 interest in 1 month!".

Step-by-step explanation:

We have been given that a bank manager wants to encourage new customers to open accounts with principals of at least $2,500. He decides to make a poster advertising a simple interest rate of 3%. We are asked to find the principal to advertise that one can earn $10 the first month.

We will use simple interest formula to solve our given problem.

$I=Prt$ , where,