Select all possible values for x in the equation.
x cubed=375.
5*the cubed root of 3
the cubed root of 375
75*the cubed root of 5
125*the cubed root of 3
I am trying to do a practice test to prepare for my real test tomorrow and I don't understand the question. Can anyone help explain it plz any help would be great.
cuberoot(3) = 1.44225... don't round off at this point
so 5*cuberoot(3) = 5(1.44225) = 7.211247.... , not 7
now that is the value of x, so x^3
= (7.211247....)^3 = 374.9999919.... , close enough for 375 for you?
your appromation of 7 would give us 7^3 = 343, off quite a bit
ack I'm sorry I forgot about the last step and I see... thank you so much! <3
x^3 = 375
so you need the simplified cube root of 375
hint 375 = 125*3
what is special about 125 ?
x cubed=375 was the equation but the last four lines were the answers they gave me and idk how to decipher them. Example, when it says 5*the cubed root of 3, I think to find the cubed root of 3 which is 1.4 and then I multiply it by 5 and I get 7. I did what I thought was right for all of them but non of them are possible values for that equation.
what is the answer
Certainly! I'll explain how to solve the equation x³ = 375 and then we can determine the possible values for x.
To solve the equation x³ = 375, we need to find the value of x that, when cubed, gives us 375.
To do this, we need to take the cubed root of both sides of the equation. The cubed root of x³ is simply x. And the cubed root of 375 can be calculated as follows:
To find the cubed root of a number, we need to find a value that, when raised to the power of 3, equals that number. In this case, we need to find the number whose cube is equal to 375.
By simplifying the equation, we can rewrite it as:
x = ∛375
Now, there are different methods to find the cubed root of a number, but for simplicity, let's use a calculator.
By evaluating ∛375 on a calculator, we find that the cubed root of 375 is approximately 7.937.
So, the possible values for x are:
- 5 times the cubed root of 3, which is approximately 39.685 (5 * 7.937).
- The cubed root of 375, which is approximately 7.937.
- 75 times the cubed root of 5, which is approximately 593.025 (75 * 7.937).
- 125 times the cubed root of 3, which is approximately 992.125 (125 * 7.937).
Therefore, the four possible values for x are approximately 39.685, 7.937, 593.025, and 992.125.