To find the area of the circle you must use the formula
The radius length is 4 so you substitute it for 3.14
area=3.14 x 4^2
area=50.24
So the correct answer would be C.
2 1/2 becomes 2 2/4. 3 1/4-2 2/4 = 3/4 of an hour
Option B is the correct answer
Step-by-step explanation:
Step 1 :
Given,
Maximum budget Sandra has for the trip is $90
Fixed rental fee = $30
Daily fee = $10
Step 2 :
Let x be the number of the days for which Sandra can go for the trip
If the daily fee is $10, the cost for x number of days would be 10*x
the fixed fee is $30
So the equation is represent the cost of the trip is 30 + 10 x
given that the maximum budget is $90, the above cost should always be less $90
So the required inequality is 30 + 10x ≤ 90
Option B is the correct answer
Answer:
A
Step-by-step explanation:
I am almost completely positive that question 4 is A
Answer:
![\displaystyle\frac{\sqrt[4]{3x^2}}{2y}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B%5Csqrt%5B4%5D%7B3x%5E2%7D%7D%7B2y%7D)
Step-by-step explanation:
It can work well to identify 4th powers under the radical, then remove them.
![\displaystyle\sqrt[4]{\frac{24x^6y}{128x^4y^5}}=\sqrt[4]{\frac{3x^2}{16y^4}}=\sqrt[4]{\frac{3x^2}{(2y)^4}}\\\\=\frac{\sqrt[4]{3x^2}}{2y}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csqrt%5B4%5D%7B%5Cfrac%7B24x%5E6y%7D%7B128x%5E4y%5E5%7D%7D%3D%5Csqrt%5B4%5D%7B%5Cfrac%7B3x%5E2%7D%7B16y%5E4%7D%7D%3D%5Csqrt%5B4%5D%7B%5Cfrac%7B3x%5E2%7D%7B%282y%29%5E4%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B%5Csqrt%5B4%5D%7B3x%5E2%7D%7D%7B2y%7D)
_____
The applicable rules of exponents are ...
1/a^b = a^-b
(a^b)(a^c) = a^(b+c)
The x-factors simplify as ...
x^6/x^4 = x^(6-4) = x^2
The y-factors simplify as ...
y/y^5 = 1/y^(5-1) = 1/y^4
The constant factors simplify in the usual way:
24/128 = (8·3)/(8·16) = 3/16
