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Rufina [12.5K]
3 years ago
11

a carton can hold 1000 unit cubes that measure 1 inch by 1 inch by 1 inch. Describe the dimensions of the carton using unit cube

s.
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
3 0
The volume of a cube is V=s^{3}, such that s is the length of any side. You are given that the volume of the carton is 1000 cubic inches, because each 1 by 1 by 1 cube has a volume of one cubic inch. If you put your given v into the equation, you get 1000=s^{3}. If you take the cube root of both sides, you get that s=10 because 10^3=1000
You might be interested in
Refer to the question below:
irakobra [83]
∛(2x + 5) - 3 = 0
Add 3 to both sides
∛(2x + 5) = 3
Cube both sides
2x + 5 = 27
Subtract 5 from both sides
2x = 22
Divide both sides by 2
x=11
There's your answer. Have an awesome day! :)
7 0
4 years ago
Rewrite the expression ln(33^3)+ln(9^4) so that it includes the expressions ln(3) and 33 and 9 do not appear inside a natural lo
krok68 [10]

Answer:

In Section 6.1, we introduced the logarithmic functions as inverses of exponential functions and

discussed a few of their functional properties from that perspective. In this section, we explore

the algebraic properties of logarithms. Historically, these have played a huge role in the scientific

development of our society since, among other things, they were used to develop analog computing

devices called slide rules which enabled scientists and engineers to perform accurate calculations

leading to such things as space travel and the moon landing. As we shall see shortly, logs inherit

analogs of all of the properties of exponents you learned in Elementary and Intermediate Algebra.

We first extract two properties from Theorem 6.2 to remind us of the definition of a logarithm as

the inverse of an exponential function.

Step-by-step explanation:

Hope this helps

4 0
3 years ago
Please someone help me I will give brainliest​
zubka84 [21]

Answer:

Hey buddy whatsup? All good

Coming to the question fig 1 and 3 aren't functions

Coz.... Reason for fig 1... Every distinct element of domain must have a unique element in codomain, but in this fig the same element has more than two unique elements which is a relation not a function.

Reason for fig 3 every element in domain must have an unique element in codomain but in this fig the element c doesn't have any unique element hence it isn't a function.....

Thank you

6 0
3 years ago
Read 2 more answers
Which long division problem can be used to prove the formula for factoring the difference of two perfect cubes?
Stells [14]

Answer:

<h2>a³-b³  = (a-b)(a²+ab+b²)</h2>

Step-by-step explanation:

let the two perfect cubes be a³ and b³. Factring the  difference of these two perfect cubes we have;

a³ - b³

First we need to factorize (a-b)³

(a-b)³ = (a-b) (a-b)²

(a-b)³ = (a-b)(a²-2ab+b²)

(a-b)³ = a³-2a²b+ab²-a²b+2ab²-b³

(a-b)³ = a³-b³-2a²b-a²b+ab²+2ab²

(a-b)³ = a³-b³ - 3a²b+3ab²

(a-b)³  = (a³-b³) -3ab(a-b)

Then we will make a³-b³ the subject of the formula from the resultinh equation;

a³-b³ =  (a-b)³+ 3ab(a-b)

a³-b³  = a-b{(a-b)²+3ab}

a³-b³  = a-b{a²+b²-2ab+3ab}

a³-b³  = (a-b)(a²+b²+ab)

a³-b³  = (a-b)(a²+ab+b²)

The long division problem that can be used is (a-b)(a²+ab+b²)

3 0
3 years ago
Is -(-0.5x + 10) equivalent to 1/2x + 10?
dolphi86 [110]

Answer: idk

Step-by-step explanation: i

d

k

8 0
3 years ago
Read 2 more answers
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