All categories

3 years ago

Solve x^3 = 1 over 8. 1 over 2 ±1 over 2 1 over 4 ±1 over 4

Mathematics

2 answers:

lara [203]3 years ago

8 0

x³ = 1/8

8 can be written as 2³

x³ = 1/2³

(x)³ = (1/2)³

When exponents are same bases are taken and exponents are eliminated

x = 1/2

Hence, the required answer is 1/2

Oduvanchick [21]3 years ago

7 0

Answer:

x = 1/2

Step-by-step explanation:

x^3 = 1/8

Take the cube root of each side

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

Rewriting 8 as 2^3

x^3 ^ (1/3) = (1/2^3)^ (1/3)

x = 1/2

You might be interested in

A spinner numbered 1 through 12 is spun. Find the probability that

anastassius [24]

Answer:

$\dfrac{1}{6}$

Step-by-step explanation:

Let A be the event of getting an odd number.

P(A) be the probability of getting an odd number.

Total odd numbers here are 6 i.e. $\{1,3,5,7,9,11\}$

Here, total numbers in the game are 12 i.e $\{1,2,3,....,12\}$ .

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

$P(A) = \dfrac{6}{12}\\\Rightarrow \dfrac{1}{2}$

Let B be the event of getting 11.

P(B) be the probability of getting 11.

Total number of possible cases is 1.

$P(B) = \dfrac{1}{12}$

$P(A \cap B)$ is the probability that we get 11 and an odd number.

Possible number of cases = 1

$P(A\cap B) = \dfrac{1}{12}$

P(B/A) is the probability that we get an 11 given that it is an odd number.

$P(B/A) = \dfrac{P(A \cap B)}{P(A)}\\\Rightarrow \dfrac{\dfrac{1}{12}}{\dfrac{1}{2}}\\\Rightarrow \dfrac{1}{6}$

Hence, P(B/A) = $\dfrac{1}{6}$

4 0

3 years ago

Read 2 more answers

What's sss, sas, asa, aas, and hi. when it comes to solving triangles?

tekilochka [14]

Answer:

SSS = side side side

SAS = side angle side

ASA = angle side angle

AAS = angle angle side

8 0

3 years ago

Determine if the following event is mutually exclusive:

sp2606 [1]

Answer:

Ask yourself: "Can I roll a prime number and an odd number at the same time?"

Since the answer is "yes it is possible" (eg: rolling a 3), this means the two events are not mutually exclusive. Mutually exclusive events have nothing in common.

In terms of a venn diagram, mutually exclusive events have no overlapping shared region.Step-by-step explanation:

6 0

3 years ago

Write the phrase as an expression. Six more than three times a number w. An expression for this phase is..?

deff fn [24]

Answer:

6+3x=w

Step-by-step explanation:

6 *more* more always means +

and then three *times* times always means *

so it would equal 6+3x=w

6 0

3 years ago

Factor the following: 1. 5(a+3)²- (a+3 2. p²- 6 - q · (p²- 6)²

scoundrel [369]

Answer:

1. $(a + 3)(5a-14)$

2. $(p^2-6)[1-q(p^2-6)]$

Step-by-step explanation:

1. The first thing to do to factor the expression is to take the expression (a + 3) as a common factor with its lowest exponent.

Then the expression. $5(a + 3)^2- (a + 3)$ remains as:

$(a + 3)(5 (a + 3) -1)\\\\(a + 3)(5a +15 -1)\\\\(a + 3)(5a-14)$

2. The first thing to do to factor the expression is to take the expression $p^2 -6$ as its common factor with its lowest exponent.

Then the expression $p^2- 6 - q(p^2- 6)^2$ remains as:

$(p^2-6)[1-q (p^2-6)]$

8 0

3 years ago