Answer:
5
Step-by-step explanation:
Answer: I x^2 y^3 z
Step-by-step explanation:
This is the one most simplified. I’ll tell you why the others are incorrect.
F) 3^5 x^2 can be simplified. 3^5= 243. The simplified answer would be 243 x^2
G) (5y)^3= 125y^3
H) a^0 b (^0= 1 always) -> ab
Hope this helps!
Answer:
12 gallons of yellow paint
4 gallons of blue paint
Step-by-step explanation:
saul’s paint ratio is 3b to 1y which makes 4ounces of paint total (3b+1y=4)
So if you want 16 gallons of paint total using the same ratio of colors then you need to figure out how many of the recipe you will need to put in by dividing
16/4=4 so 4 times the original recipe
Now multiply the original paint numbers by 4 since you will do the ratio 4 times
3y*4= 12 gallons of yellow paint and
1b*4= 4 gallons of blue paint
Hope this helps! :)
Answer:
Distance between two points= √(x2-x1)²+(y2-y1)²
D= 15units
Let "k" be the y-coordinate of A
A(-6,k)
B(3,2)
15= √(3--6)²+(2-k)²
Taking square of both sides to eliminate the square root.
15²=(9)²+(2-k)²
225=81+4-4k+k²
k²-4k - 140=0
Using Quadratic Formula to evaluate
k= 14 or k=-10
The Possible coordinates of A are
(-6,14) or (-6,-10)
Answer:
P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Step-by-step explanation:
Let P(n) be the proposition that 2n-1 ≤ n!. for n ≥ 3
Basis: P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Inductive Step: Assume P(k) holds, i.e., 2k - 1 ≤ k! for an arbitrary integer k ≥ 3. To show that P(k + 1) holds:
2(k+1) - 1 = 2k + 2 - 1
≤ 2 + k! (by the inductive hypothesis)
= (k + 1)! Therefore,2n-1 ≤ n! holds, for every integer n ≥ 3.
