Answer:
1.5x = 7.5 (a)
Step-by-step explanation:
If Billy has $7.50 remaining, then he can buy x no. of boxes.
Each box costs $1.50
So, 1.5x = 7.5
The domain for all variables of the set of nonnegative integers given is true.
<h3>How to explain the truth value?</h3>
From the information given, we are given ∃n∀m(m< n). This implies that for all m, there exists n such that m × n where m and n are non negative integers.
This statement is true because for any non negative integer, the least value is zero and the set is unbounded.
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Answer:
t≈8.0927
Step-by-step explanation:
h(t) = -16t^2 + 128t +12
We want to find when h(t) is zero ( or when it hits the ground)
0 = -16t^2 + 128t +12
Completing the square
Subtract 12 from each side
-12 = -16t^2 + 128t
Divide each side by -16
-12/-16 = -16/-16t^2 + 128/-16t
3/4 = t^2 -8t
Take the coefficient of t and divide it by 8
-8/2 = -4
Then square it
(-4) ^2 = 16
Add 16 to each side
16+3/4 = t^2 -8t+16
64/4 + 3/4= (t-4)^2
67/4 = (t-4)^2
Take the square root of each side
±sqrt(67/4) =sqrt( (t-4)^2)
±1/2sqrt(67) = (t-4)
Add 4 to each side
4 ±1/2sqrt(67) = t
The approximate values for t are
t≈-0.092676
t≈8.0927
The first is before the rocket is launched so the only valid answer is the second one
Answer:
The volume of the cone is 12936 cubic mm.
Step-by-step explanation:
Given
Circumference of base = 132 mm
Height of the cone = 28 mm
Solution
Formula of circumference = 
= 132 mm
Now volume of cone = 
on substituting the value of r and h we get ;
thus volume of cone is 12936 cubic mm.
Answer: 115 degrees
Step-by-step explanation:
