Answer:
1,804
Step-by-step explanation:
106 - 60 = 44
44/2 = 22
60 + 22 = 82
82*22 = 1,804
Answer: i think it should be 1:3=2:6
Step-by-step explanation:
Answer:
0.75 or 3/4 cups
Step-by-step explanation:
Make a proportion
We need 1 1/4, or 1.25 cups of sugar for 20 cookies, and we need x cups of sugar for 12 cookies
1.25/20=x/12
To solve, we need to get the variable,x, by itself. It is being divided by 12. To reverse this, multiply both sides by 12.
12(1.25/20)=(x/12)12
The 12s on the right will cancel, and we are left with
0.75=x
0.75 is equivalent to 3/4
So, 0.75 or 3/4 cups of sugar is needed to make 12 cookies
(From top to bottom) wrong, right, right, right, wrong. This is because a irrational*an irrational number is rational, but a rational*an irrational is an irrational number
<span>We are given that ||e|| = 1, ||f|| = 1. </span>
<span>Since ||e + f|| = sqrt(3/2), we have </span>
<span>3/2 = (e + f) dot (e + f) </span>
<span>= (e dot e) + 2(e dot f) + (f dot f) </span>
<span>= ||e||^2 + 2(e dot f) + ||f||^2 </span>
<span>= 1^2 + 2(e dot f) + 1^2 </span>
<span>= 2 + 2(e dot f). </span>
<span>So e dot f = -1/4. </span>
<span>Therefore, </span>
<span>||2e - 3f||^2 = (2e - 3f) dot (2e - 3f) </span>
<span>= 4(e dot e) - 12(e dot f) + 9(f dot f) </span>
<span>= 4||e||^2 - 12(e dot f) + 9||f||^2 </span>
<span>= 4(1)^2 - 12(-1/4) + 9(1)^2 </span>
<span>= 4 + 3 + 9 </span>
<span>= 16. </span>
