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Lesechka [4]
3 years ago
6

I really need help on this problem!!!ASAP!!!

Mathematics
1 answer:
lord [1]3 years ago
6 0
I feel like it would be 1/12 of a chance
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Heather hits a tennis ball upward with an initial speed of 32 feet per second. After how many seconds does the ball hit the grou
Mrrafil [7]
set h=0 and solve for <span>t

</span>So: 0 = 32t - 16^2

<span>32t−16<span>t2</span>=0</span><span>16t(2−t)=0</span><span><span>t=2


</span></span>
3 0
3 years ago
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Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 73 and 9
Naddika [18.5K]

Answer: After about 9.03 hours the temperature first reach 82 degrees.

Step-by-step explanation:

The sinusoidal function is given by :

y=A\sin[\omega(x-\alpha)]+C

where, A =  amplitude; \omega=\dfrac{2\pi}{period} ,  α= phase shift on the Y-axis and C = midline.

As per given,

Average daily temperature= C=\dfrac{73+97}{2}=85   [midline is average of upper and lower limit.]

A=  97-85 = 12

Phase shift: \alpha=10

Period = 24 hours;

\omega=\dfrac{2\pi}{24}=\dfrac{\pi}{12}

Substitute all values in sinusoidal function, we get

y=12\sin[\dfrac{\pi}{12}(x-10)]+85

Put y= 82, we get

82=12\sin[\dfrac{\pi}{12}(x-10)]+85\\\\\Rightarrow\ -3= 12\sin[\dfrac{\pi}{12}(x-10)]\\\\=\dfrac{-1}{4}= \sin[\dfrac{\pi}{12}(x-10)]\\\\\Rightarrow\ \dfrac{\pi}{12}(x-10)=\sin^{-1}(\dfrac{-1}{4})\\\\\Rightarrow\ x-10=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))\\\\\Rightarrow\ x=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))+10\\\Rightarrow\ x\approx9.03

Hence, After about 9.03 hours the temperature first reach 82 degrees.

3 0
3 years ago
Write the slope intersect form of the equation. <br><br> Through (8,1) perpendicular to y =1/2x +2
dolphi86 [110]

Answer:

Step-by-step explanation:

y= -(1/2)x - 5

6 0
2 years ago
jim sat at a table with 4 teachers and 9 children how many people were at the table after jim sat down​
xeze [42]

Answer:

Step-by-step explanation:

Both teachers and children are people.  If there were 4 teachers and 9 children already at the table, sitting down, when Jim arrived, then that would be 13 people at the table before he sit and 14 people after he sits.

4 0
3 years ago
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the cost of belonging to a gym can be modeled by by c(m)=50m+79.50 what is the meaning of the slope and y-intercept
Bess [88]
The slope is the relationship between the cost of the gym and how long you are there for.
the y-intercept is how much it costs to go to the gym for no hours ie the start-up cost.
5 0
3 years ago
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