Answer:
x <4
Step-by-step explanation:
2x-9<-1
Add 9 to each side
2x-9+9<-1+9
2x < 8
Divide each side by 2
2x/2 < 8/2
x <4
Answer:
Ok, first in our series we can see two numbers in the Sigma, one bellow 0, and other above, 4.
This means that the value of k will go from 0 to 4, then all the numbers in the sum are:
(-1/2)^0 + (-1/2)^1 + (-1/2)^2 + (-1/2)^3 + (-1/2)^4
So we have 5 terms in our series.
b) to see the sign in each term, we must solve the powers, remember that:
(-1)^n is -1 if n is odd, and is equal to 1 if n is even, so we have:
(-1/2)^0 + (-1/2)^1 + (-1/2)^2 + (-1/2)^3 + (-1/2)^4
= 1 -1/2 + 1/4 - 1/8 + 1/16.
So the sign in each term of the series alternates.
Answer:
65
Step-by-step explanation:
So we have the expression:
And we want to evaluate it for m=25.
So, substitute 25 for m:
Subtract:
Multiply:
Add:
So, our answer is 65.
And we're done!
Answer:
A, C, E for the first one; B, C, E for the second one; B and E for the last one
Step-by-step explanation:
Answer:
25 meters
Step-by-step explanation:
Since it is a rectangle, the formula of the perimeter will be 2w+2l.
35(2)+2(x)=120.
2x=50
x=25
