Anthony bought a rug for his office. He made a scale drawing of the office using a scale of 1 in = 4 ft.What is the area of the office floor not covered by the rug?
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28 times 28 = 784
20 times 16 = 320
784-320 =464 ft
So the first one
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What is the equation of the line that passes through the point (-3, 0) and has a slope of -1/3?
A firecracker shoots up from a hill 140 feet high, with an initial speed of 100 feet per second. Using the formula H(t) = −16t^2 + vt + s, approximately how long will it take the firecracker to hit the ground?Five seconds Seven seconds Nine seconds 11 seconds
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Answer:
The correct answer is
It is impossible to add odd numbers (1, 3, 5, 7, 9, 11, 13, and 15) and odd number of times (3) to get an even number (30)
Step-by-step explanation:
1, 3, 5, 7, 9, 11, 13, and 15 are all odd numbers and 30 is an even number
When odd numbers are added even times the answer is always even for example 3 + 5 = 8, and when odd numbers are added odd times the answer is always odd for example 1 + 5 + 7 = 13
It is not possible to add three odd numbers to get an even number
Where x = odd therefore x + 1 = even = y say
hence 2 × x = 2×(y-1) = 2·y - 2 = even number
Also 3 × x = (3y -3) = odd number
Answer: The answer is 7+(3+5)+15 = 30
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17> 12
17 is greater than 12
(B) e^(1/2)
(C) e
(D) e^(3/2)
(E) There is no maximum value for v.
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v = ln(t) / t
max of v when dv/dt = 0
dv/dt = (t/t - ln(t))/t²
= [1 - ln(t)]/t² = 0
ln(t) = 1
t = e (option C)
check this is a max and not a min
d²v/dt² = [t²(-1/t) - 2t(1 - ln(t))]/t^4
= [-1 - 2t + 2t ln(t)]/t^4
= [-1 - 2e + 2e ln(e)]/e^4
= [-1 - 2e + 2e]/e^4
= -1/e^4 < 0 so it is a max
Answers
Answer:
x = - 11
y = 3
Step-by-step explanation:
5x + 6y = - 37
x = - 11
5( - 11) + 6y = - 37
- 55 + 6y = - 37
- 55 + 55 + 6y = - 37 + 55
6y = 18
6y ÷ 6 = 18 ÷ 6
y = 3
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That would be 6,610,000 answer
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Now, we need to set the equation equal to zero to find the x-intercepts. When y = 0, we have 0 = 2(x – 2)(x – 2) + 1 which can be rewritten as 0 = (x – 2)(x – 2).
To solve this equation, we need to find the roots, or solutions, of the equation. Using the Quadratic Formula, the roots are going to be x = 2 ± √(2² – 4(2)(1)) / 2(2)
This simplifies as x = 2 ± √2 / 4, so our two x-intercepts are x = 0.5 and x = 3.5.
The graph of y = 2(x – 2)² + 1 will have x-intercepts at (0.5, 0) and (3.5, 0). Therefore, the points of intersection of the graph of y = 2(x – 2)² + 1 and the x-axis are (0.5, 0) and (3.5, 0).