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siniylev [52]
3 years ago
12

Given that she wins the plumbing contract what is the probability that she wins the heating contract

Mathematics
1 answer:
Alexxx [7]3 years ago
5 0
Nothing u cant do anything with a plumbing contract
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A soccer ball is kicked from 3 feet above the ground. the height,h, in feet of the ball after t seconds is given by the function
dexar [7]
Here's our equation.

h=-16t+64t+3

We want to find out when it returns to ground level (h = 0)

To find this out, we can plug in 0 and solve for t.

0 = -16t+64t+3 \\ 16t-64t-3=0 \\ use\ the\ quadratic\ formula\ \frac{-b\±\sqrt{b^2-4ac}}{2a}  \\ \frac{-(-64)\±\sqrt{(-64)^2-4(16)(-3)}}{2*16}  = \frac{64\±\sqrt{4096+192}}{32}

= \frac{64\±\sqrt{4288}}{32} = \frac{64\±8\sqrt{67}}{32} = \frac{8\±\sqrt{67}}{4} = \boxed{\frac{8+\sqrt{67}}{4}\ or\ 2-\frac{\sqrt{67}}{4}}

So the ball will return to the ground at the positive value of \boxed{\frac{8+\sqrt{67}}{4}} seconds.

What about the vertex? Simple! Since all parabolas are symmetrical, we can just take the average between our two answers from above to find t at the vertex and then plug it in to find h!

\frac{1}2(\frac{8+\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(2+\frac{\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(4) = 2

h=-16t^2+64t+3 \\ h=-16(2)^2+64(2)+3 \\ \boxed{h=67}


8 0
3 years ago
What is the approximate value of sin B?
Jlenok [28]
The acronym for trigs is SOH CAH TOA
Sine means opposite divided by hypotenuse
So, let us find sine.
The opposie side is 16
The hypotenuse is 17.46
16/17.46
Use your calculator
The answer is ≈ 0.9164
6 0
3 years ago
Read 2 more answers
Subract (8x+6)-(x+4)
NeX [460]

Step-by-step explanation:

8x + 6) - (x + 4)

8x + 6 - (x + 4)

8x + 6 - x - 4

7x + 2

4 0
3 years ago
Solve for x<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B2%7D%20%20%2B%20%20%5Cfrac%7B3%7D%7B4%7D%20%20%3D%2010" id=
Degger [83]

Answer:

x = 18.5

Step-by-step explanation:

Given

\frac{x}{2} + \frac{3}{4} = 10

Multiply through by 4 to clear the fractions

2x + 3 = 40 ( subtract 3 from both sides )

2x = 37 ( divide both sides by 2 )

x = \frac{37}{2} = 18.5

6 0
3 years ago
Read 2 more answers
Which of the following functions has a period of 8 π ?
KengaRu [80]
<h3>Answer: Choice B</h3>

Explanation:

The general template of a sine function is

y = Asin(B(x-C))+D

The value of B is the only thing that determines the period T. We ignore every other term.

It turns out that T = 2pi/B which can be solved to B = 2pi/T

Plug in the given period of T = 8pi and compute to get

B = 2pi/T

B = (2pi)/(8pi)

B = 2/8

B = 1/4

This means that the term out front of the x is 1/4 and the equation must be y = \sin\left(\frac{1}{4}x\right) which matches with answer choice B.

4 0
3 years ago
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