Answer:
Step-by-step explanation:
18:12*3=4,5
5000*4,5:100=225
5000+225=5225
You can use logarithm for this question:
If you convert the provided equation into logarithm, you should get:
Log _2 5= (3x-4)
You plug log_2 (5) into a calculator, I dont have one with me so you will have to do the calculation, then solve for x
Answer:
(A)
Step-by-step explanation:
The graph of any function (of 
) can be shifted horizontally by a number 
by replacing every in the function with 
. And, if we want to shift the graph vertically, we simply add the number we want to shift by (which I'll call 
) to every output of the function.
Functionally, if we have any function 
We can shift it horizontally by units and vertically by units by creating a function 
.
Notice that in this case, 
. So the graph of is shifted 2 units to the left, and 4 units down.
Or if this is too abstract of an explanation, then notice
![\sqrt[3]{x + 2} - 4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%20%2B%202%7D%20%20-%204)
looks similar to ![\sqrt[3]{x - h} - k](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%20-%20h%7D%20%20-%20k)
. Specifically, if h = -2 and k = -4 (the graph is shifted two units left and 4 units down), then the function becomes equivalent to 
Answer:
60,949,324,800
Step-by-step explanation:
We solve the above question using Permutation formula
The formula for Permutation =
nPr = n!/(n - r)!
Total Amount in a Set (n) = 20 persons
Amount in each Sub-Set (r) = 9 batting order
Hence:
20P9 = 20!/(20 - 9)!
= 60,949,324,800
Therefore, the different batting orders they would have are: 60,949,324,800
Area of the three equally sized stripes: A
A=(x+15)(x)(3)
A=3x(x+15)
A=3x^2+45x
One gallon of paint will cover an area of no more than 400 square feet: <=400
She only has half of a gallon of paint left:
1/2(400 square feet)=400/2=200 square feet
Inequality that could be used to find the maximum height, in feet, of each stripe:
A<=200
3x^2+45x<=200
Answer: 3x^2+45x <= 200
Could her stripes be 3' tall?
x=3→A=3(3)^2+45(3)=3(9)+135=27+135→A=162<200 Ok
Yes, her stripes could be 3' tall.
Answer: Yes
Could her stripes be 4' tall?
x=4→A=3(4)^2+45(4)=3(16)+180=48+180→A=228>200 No
No, her stripes couldn't be 4' tall.
Answer: No
