Answer:
3x^3y − 5xy^2 + 9
Step-by-step explanation:
When there is only one denominator term, the quotient can be found by dividing the numerator terms individually.
_____
There are a couple of things to keep in mind here:
- an exponent tells the number of times the factor is repeated
- equal numbers of identical factors cancel from numerator and denominator, for example x^3/x = (x·x·x)/x = x·x = x^2. (One factor of x cancels.)
Answer:
Step-by-step explanation:
The formula of a volume of a sphere:
We have
Substitute:
<em>divide both sides by π</em>
<em>multiply both sides by 3</em>
<em>divide both sides by 4</em>
![R^3=\dfrac{1}{2}:4\\\\R^3=\dfrac{1}{2}\cdot\dfrac{1}{4}\\\\R^3=\dfrac{1}{8}\to R=\sqrt[3]{\dfrac{1}{8}}\\\\R=\dfrac{\sqrt1}{\sqrt8}\\\\R=\dfrac{1}{2}](https://tex.z-dn.net/?f=R%5E3%3D%5Cdfrac%7B1%7D%7B2%7D%3A4%5C%5C%5C%5CR%5E3%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%5Cdfrac%7B1%7D%7B4%7D%5C%5C%5C%5CR%5E3%3D%5Cdfrac%7B1%7D%7B8%7D%5Cto%20R%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B1%7D%7B8%7D%7D%5C%5C%5C%5CR%3D%5Cdfrac%7B%5Csqrt1%7D%7B%5Csqrt8%7D%5C%5C%5C%5CR%3D%5Cdfrac%7B1%7D%7B2%7D)
Answer:
x =72
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
x+77+31 = 180
Combine like terms
x + 108 = 180
Subtract 108 from each side
x+108-108 = 180-108
x =72
Answer:
X=3
Step-by-step explanation:
0.05(4x) + 0.1x = 0.90
0.2x + 0.1x = 0.90
0.3x = 0.90
x = 3
Answer:
The expression will be (\frac{n}{2} - 6) + 10(
2
n
−6)+10 and its value is 8.
Step-by-step explanation:
We are asked to write the expression and the value of “six less than the quotient of a number and two, increased by ten”.
If the number is n, then the expression will be (\frac{n}{2} - 6) + 10(
2
n
−6)+10 .
Now, if the value of n is 8 then the value of the expression will be (\frac{8}{2} - 6) + 10 = 4 - 6 + 10 = 8(
2
8
−6)+10=4−6+10=8 (Answer)
