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3 years ago

What is the factored form of x^3 + 125?

Mathematics

2 answers:

Lerok [7]3 years ago

7 0

$x^3+125=x^3+5^3$

Sums of cubes can be factored as

$a^3+b^3=(a+b)(a^2+ab+b^2)$

$x^3+125=(x+5)(x^2+5x+25)$

lukranit [14]3 years ago

4 0

Answer:C

Step-by-step explanation:

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9 people shared 6 subs equally how much each person get

bogdanovich [222]

.67

Step-by-step explanation6 divided by 9

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3 years ago

Stephanie rdes her bike 2 miles to the post office, and then another 50 yards to the train station. How many yards long was her

mestny [16]

There are 1,760 yards in a mile.

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Stephanie's trip was 3,570 yards long.

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4 years ago

The antibiotic clarithromycin is eliminated from the body according to the formula A(t) = 500e−0.1386t, where A is the amount re

PolarNik [594]

Answer:

Time(t) = 11.61 hours (Rounded to two decimal place)

Step-by-step explanation:

Given: The antibiotic clarithromycin is eliminated from the body according to the formula:

$A(t) = 500e^{-0.1386t}$ ......[1]

where;

A - Amount remaining in the body(in milligram)

t - time in hours after the drug reaches peak concentration.

Given: Amount of drug in the body is reduced to 100 milligrams.

then,

Substitute the value of A = 100 milligrams in [1] we get;

$100= 500e^{-0.1386t}$

Divide both sides by 500 we get;

$\frac{100}{500}=\frac{ 500e^{-0.1386t}}{500}$

Simplify:

$\frac{1}{5} = e^{-0.1386t}$

Taking logarithm both sides with base e, then we have;

$\log_e (\frac{1}{5})= \log_e (e^{-0.1386t})$

$\log_e (\frac{1}{5})=-0.1386t$ [ Using $\log_e e^a =a$ ]

$\log_e (0.2)=-0.1386t$

$-1.6094379124341 = -0.1386t$

[using value of $\log_e (0.2) = -1.6094379124341$ ]

then;

$t = \frac{-1.6094379124341}{-0.1386}$

Simplify:

t ≈11.61 hours.

Therefore, the time 11.61 hours(Rounded two decimal place) will pass before the amount of drug in the body is reduced to 100 milligrams

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3 years ago

Solve this system of equations using elimination. <br> X-6=-17<br> -2x+12y=7

AfilCa [17]

Answer:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form:

(−11,−5/4)

Equation Form:

x=−11,y=−5/4

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3 years ago

One number is equal to the square of another. find the numbers if both are positive and their sum is 930.

Varvara68 [4.7K]

One number is equal to the square of another. find the numbers if both are positive and their sum is 930.

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4 years ago