<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>
Step one: 200-87.96=112.04
Step two: 112.04÷30≈3.7
Step three: 3.7↔3
Answer: Staci can buy 3 shirts
$72.31 is the total amount AFTER ADDING TWO DEPOSITS
So, if we want to know the amount before deposits, we just need to take the total of previous two deposits
The expressions that show your balance would be
$72.31 – $17.92 – $15.33; $39.06
Hmm I’ve done this before but I can’t remember sorry but I will try and think
The answer will be 12+13 because the skatepark is 12km from school and her favorite game store was 13 km so it’s 12+13=25km