Step-by-step explanation:
The sum is 1225
Solution :
The numbers from 150 to 200 divisible by 7 are 154,161 ,168,…., 196
Here, a=154,d=7a=154,d=7 and tn=196tn=196
tn=a+(n−1)dtn=a+(n-1)d …(Formula )
∴196=154+(n−1)×7∴196=154+(n-1)×7 …(Substituting the values )
∴196−154=(n−1)×7∴196-154=(n-1)×7
∴427=n−1∴427=n-1 ∴n−1=6∴n-1=6 ∴n=7∴n=7
Now, we find the sum of 7 numbers.
Sn=n2[t1+tn]Sn=n2[t1+tn] ...(Formula )
=72[154+196)=72[154+196)
=72×350=72×350
=7×175=7×175
=1225
Answer: 2 * sqrt(2)
I attached an image to show you what I mean
Step-by-step explanation:
First add 20 on both sides
5x^(2 / 3) = 10
divide both sides by 5
x^(2 / 3) = 2
Now be reminded that the power of 2/3 is the same as x^2 cube root (to the third root)
So we now cube both sides to get rid of the cube root
x^2 = 2^3
which simplifies to x^2 = 8
We now just find the square root of both sides
so x = sqrt(8)
square root of 8 is simply sqrt(4 * 2) = sqrt(4) * sqrt(2) = 2 * sqrt(2)
So x = 2 * sqrt (2)
We want to translate the given statement into an algebraic expression.
The expression is:
d = 0.45*L
---------------------------------
When we have a discount of an X% on a given value V, that discount will be:
D = (X%/100%)*V.
Here we have:
<em>"A </em><em>discount</em><em> of a 45% on the list price L"</em>
The discount will be given by:
d = (45%/100%)*L = 0.45*L
d = 0.45*L
This is the expression we wanted to get.
If you want to learn more, you can read:
brainly.com/question/2736271
The answer is linear and increasing. look at it.... it goes up.
