Answer:
Step-by-step explanation:
Since this is a test/hw, I'll give a hint.
This problem at first can seem a bit difficult with q's and power's everywhere.
But let's take a step backward. A power is when your mutiplying something by itself again and again.
Ex: 3^3=3 times 3 times 3
But what if we had something liiiike this:
(3^3)2
In this case its now
(3 times 3 times 3)^2, so its "techinicaly" (27)^2. And you would a fairly large number, which I'm to lazy to solve. But that's not the point.
We've seen what a power is deconstructed, and what a power is. Because my explantion probably confused you more than it helped, I'll give an example.
(2^2)^2=(2 times 2)^2=(4^2=16=2^4
However, there is a shorter way to solve it.
(2^2)^2=2^(2 times 2)=2^4
Hope this helps.
Answer:
8/x = x/20
x^2=160
x=sqrt(160)
x=sqrt(16*10)
x=sqrt(16)*sqrt(10)
x=4*sqrt(10)
Step-by-step explanation:
-2.5(1-2n)-1.5n
=-2.5+5n-1.5n
=-2.5+3.5n
Answer: B. -2.5+3.5n
Answer: 427 miles
Step-by-step explanation:
if the jeep averages 30.5 miles per gallon, and you have 14 gallons, then you will need to multiply 30.5*14 to get your answer, which is 427
Answer:
100
Step-by-step explanation:
We have the sum of first n terms of an AP,
Sn = n/2 [2a+(n−1)d]
Given,
36= 6/2 [2a+(6−1)d]
12=2a+5d ---------(1)
256= 16/2 [2a+(16−1)d]
32=2a+15d ---------(2)
Subtracting, (1) from (2)
32−12=2a+15d−(2a+5d)
20=10d ⟹d=2
Substituting for d in (1),
12=2a+5(2)=2(a+5)
6=a+5 ⟹a=1
∴ The sum of first 10 terms of an AP,
S10 = 10/2 [2(1)+(10−1)2]
S10 =5[2+18]
S10 =100
This is the sum of the first 10 terms.
Hope it will help.
