Answer:
we conclude that:
![\:9x^0y^{-3}=\frac{9}{y^3}](https://tex.z-dn.net/?f=%5C%3A9x%5E0y%5E%7B-3%7D%3D%5Cfrac%7B9%7D%7By%5E3%7D)
Step-by-step explanation:
Given the expression
![9x^0y^{-3}](https://tex.z-dn.net/?f=9x%5E0y%5E%7B-3%7D)
Apply exponent rule: ![a^{-b}=\frac{1}{a^b}](https://tex.z-dn.net/?f=a%5E%7B-b%7D%3D%5Cfrac%7B1%7D%7Ba%5Eb%7D)
![\:9x^0y^{-3}=9\cdot \:\frac{1}{y^3}x^0](https://tex.z-dn.net/?f=%5C%3A9x%5E0y%5E%7B-3%7D%3D9%5Ccdot%20%5C%3A%5Cfrac%7B1%7D%7By%5E3%7Dx%5E0)
Apply rule: ![a^0=1,\:a\ne \:0](https://tex.z-dn.net/?f=a%5E0%3D1%2C%5C%3Aa%5Cne%20%5C%3A0)
![=9\cdot \:1\cdot \frac{1}{y^3}](https://tex.z-dn.net/?f=%3D9%5Ccdot%20%5C%3A1%5Ccdot%20%5Cfrac%7B1%7D%7By%5E3%7D)
Multiply fractions: ![a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}](https://tex.z-dn.net/?f=a%5Ccdot%20%5Cfrac%7Bb%7D%7Bc%7D%3D%5Cfrac%7Ba%5C%3A%5Ccdot%20%5C%3Ab%7D%7Bc%7D)
![=1\cdot \frac{1\cdot \:9}{y^3}](https://tex.z-dn.net/?f=%3D1%5Ccdot%20%5Cfrac%7B1%5Ccdot%20%5C%3A9%7D%7By%5E3%7D)
Refine
![=\frac{9}{y^3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B9%7D%7By%5E3%7D)
Thus, we conclude that:
![\:9x^0y^{-3}=\frac{9}{y^3}](https://tex.z-dn.net/?f=%5C%3A9x%5E0y%5E%7B-3%7D%3D%5Cfrac%7B9%7D%7By%5E3%7D)
Answer:
2x • (x^3y^3 + 2)
Step-by-step explanation:
4x + (2x3y • y) • x) • y)
Pulling out like terms :
3.1 Pull out like factors :
2x4y3 + 4x = 2x • (x3y3 + 2)
Trying to factor as a Sum of Cubes :
3.2 Factoring: x3y3 + 2
Theory : A sum of two perfect cubes, a3 + b3 can be factored into :
(a+b) • (a2-ab+b2)
Proof : (a+b) • (a2-ab+b2) =
a3-a2b+ab2+ba2-b2a+b3 =
a3+(a2b-ba2)+(ab2-b2a)+b3=
a3+0+0+b3=
a3+b3
Check : 2 is not a cube !!
Ruling : Binomial can not be factored as the difference of two perfect cube
Final result :
2x • (x^3y^3 + 2)
Processing ends successfully
plz mark me as brainliest :)
Answer:
c.132
Step-by-step explanation:
so we are given the diameter which is 42m **the diameter is the straight line that passes through the middle of the circle**
but in order to find the circumference we need to find the radius **the radius is always half (1/2,0.5) of the diameter**
so we have to divide 42/2 which equals 21
now we need to set up the formula;
c=2πr/c=2xπxr **when unknown variables such as 'r' are next to another mathematical numeral such as the pi symbol you don't really have to but the multiplication symbol between them**
c=2π21
=131.946891451
and in your case, it seems we must round to the tenths place so the nine then "becomes a ten" and you're left with 132
good luck :)
i hope this helps
have a good one !!
60 plain pizzas were sold at 45 each...
(60*4.5=270)
20 meatball pizzas were sold at 8 each...
(20*8=160)
25 sicilian pizzas at 9 each...
(25*9=225)
33 large crust supremes at 10 each...
(33*10=330)
add up all the prices to find the total dollars sales for pizza hut...
330+225+160+270= (total of dollars)
and your total is...
985$ was the total dollars sale for pizza hut
hoped i helped out c;
Answer:
x is about 5.67
Step-by-step explanation:
Steps:
Divide each side by three:
17x = 3 → x = 5.67