Answer:
-422
Step-by-step explanation:
51[-2]³ - 21 + 7
51[-8] - 14
-408 - 14 = -422
I am joyous to assist you anytime.
Answer:
- Josh's book lands first
- Ben's lands about 0.648 seconds later
Step-by-step explanation:
Using the given equation for v=60 and s=40, the height of Ben's book is ...
h(t) = -16t² +60t +40
We want to find t when h(t) = 0, so we're looking for the solution to ....
0 = -16t² +60t +40
Using the quadratic formula, we find the positive value of t to be ...
t = (-60 -√(60² -4(-16)(40)))/(2(-16)) = (15 +√385)/8 ≈ 4.3277
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Similarly, the height of Josh's book is ...
0 = -16t² +48t +40
t = (-48 -√(48² -4(-16)(40)))/(2(-16)) = (12 +√304)/8 ≈ 3.6794
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The time before Josh's book lands is shorter by ...
4.3277 -3.6794 ≈ 0.6482 . . . . . seconds
Josh's book reaches the ground first, by about 0.648 seconds.
10. She isn't tall; that's why she can't reach that shelf.
11. They bought the cheapest computer because they didn't have any more money.
12. You eat too many sweets and that's the reason your clothes don't fit.
13. I went to sleep very late last night because I was so excited.
14. I don't know the answer, that's why I can't help you.
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Answer:

Step-by-step explanation:
To solve this operation we need to find the common multiple of both denominators and solve for a.

Thus, the solution is 7(a -1) / (a+2)(a-5)
The best answer is D.
According to the pythagorean theorem, a^2+b^2=c^2 in a right triangle where a and b are the legs and c is the hypotenuse.
The diagram given gives the length of both legs, so plug it into the equation to get c^2= 24^2+45^2