Answer:
![\sqrt[3]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B3%7D)
Step-by-step explanation:
Our expression is:
.
Let's focus on the cube root of 81 first. What's the prime factorisation of 81? It's simply: 3 * 3 * 3 * 3, or
. Put this in for 81:
![\sqrt[3]{81} =\sqrt[3]{3^3*3}=\sqrt[3]{3^3} *\sqrt[3]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B81%7D%20%3D%5Csqrt%5B3%5D%7B3%5E3%2A3%7D%3D%5Csqrt%5B3%5D%7B3%5E3%7D%20%2A%5Csqrt%5B3%5D%7B3%7D)
We know that the cube root of 3 cubed will cancel out to become 3, but the cube root of 3 cannot be further simplified, so we keep that. Our outcome is then:
![\sqrt[3]{3^3} *\sqrt[3]{3}=3\sqrt[3]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B3%5E3%7D%20%2A%5Csqrt%5B3%5D%7B3%7D%3D3%5Csqrt%5B3%5D%7B3%7D)
Now, let's multiply this by 1/3, as shown in the original problem:
![\frac{1}{3}* 3\sqrt[3]{3}=\sqrt[3]{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%2A%203%5Csqrt%5B3%5D%7B3%7D%3D%5Csqrt%5B3%5D%7B3%7D)
Thus, the answer is
.
<em>~ an aesthetics lover</em>
Answer:
11x + 8 +8x +12 =27 (drop the parenthesis, there's no actual need for them)
19x +20 =27 (i combined like terms and then subtracted 20 from both sides)
19x = 7 (divide both sides by 19 to get x alone)
x= 7/19 or 0.36842105 (the answer)
Step-by-step explanation:
Answer:
Step-by-step explanation:
This calculator will find either the equation of the parabola from the given ... latus rectum, focus, vertex, directrix, focal parameter, x-intercepts, y-intercepts of ... Assume that the equation of the parabola is $$$y=a x^{2} + b x + c$$$. ... Since the parabola passes through the point $$$\left(2, 9\right)$$$, then $$$9=4 a + 2 b + ...
Answer:
given:
principal [P]=8000
rate[r]=15%
population after t years=?
we have
population after t years=P(1+r/100)^t=8000(1+15/100)^t is your answer
2 steering wheels manufactured each hour were defected
There were 50 steering wheels manufactured per hour
The fraction is

Divide 2, which is the numerator by 50, which is the denominator
2÷50=.04
To change any decimal into a fraction, multiply by 100
The multiply .04 by 100 to change into a percentage
.04×100=4.⇒4%
4% is the percentage of defective steering wheels