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3 years ago

6

Tanya kicks a ball into the air. The function that models this scenario is f(t) = –16t2 + 96t, where h is the height of the ball

in feet and t is the time seconds.
When will the ball hit the ground?

The ball will hit the ground after
seconds.

2 answers:

algol [13]3 years ago

9 0

Answer:

the ball will hit the ground after 6 seconds

Step-by-step explanation:

i got it right on the assignment

ad-work [718]3 years ago

7 0

Answer:

<em>The ball will hit the ground after 6 seconds</em>

Step-by-step explanation:

<u>Function Modeling</u>

The following function models the heigh of the ball in feet kicked by Tanya after t seconds:

$h(t)=-16t^2+96t$

Note that if t=0, the ball has a height of h=0, which means it's kicked from the ground level.

We must find another value for t when the ball hits the ground. That will be done by equating the quadratic function to 0 and find the values of t

$-16t^2+96t=0$

Factoring

$t(-16t+96)=0$

This leads to two answers, the first one is:

$t=0$

which we had already talked before, and the other comes from

$-16t+96=0$

Solving for t

$-16t=-96$

$t=-96/(-16)=6 \ s$

The ball will hit the ground after 6 seconds

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How to solve <br> y x 6 for y = 2/3

EastWind [94]

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Answer: 4

Explanation:

2/3 x 6 = 2/3 x 6/1 = 12/3 = 4

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3 0

3 years ago

2.) Fill in the blank.

Montano1993 [528]

Answer:

E.) 1

Step-by-step explanation:

Firstly we will solve for L.H.S.

L.H.S. = $Csc^2\theta$

Since we know that $Csc^2\theta$ is the inverse of $Sin^2\theta$ .

So we can say that;

$csc^2\theta=\frac{1}{sin^2\theta}$

Now For R.H.S.

$Cot^2\theta+1$

Since we can rewrite $cot^2\theta$ as $\frac{cos^2\theta}{sin^2\theta}$ .

Now we can say that the R.H.S. is;

$\frac{cos^2\theta}{sin^2\theta}+1$

Now we add the fraction and get;

$\frac{cos^2\theta+sin^2\theta}{sin^2\theta}$

Now according to trigonometric identity;

$cos^2\theta+sin^2\theta=1$

So, $\frac{cos^2\theta+sin^2\theta}{sin^2\theta}=\frac{1}{sin^2\theta}$

Here,

$csc^2\theta=\frac{1}{sin^2\theta}$ and $Cot^2\theta+1$ = $\frac{1}{sin^2\theta}$ <em> </em>

L.H.S. = R.H.S.

Hence $csc^2\theta=cot^2\theta+1$

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3 years ago

Please help I don't get the back

MakcuM [25]

Just put got is the answer no dont really do that the only one i know is 12. and is 90

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4 years ago

the ratio of the number of boy campers to the number of girl campers was 8:7 . if there was a total of 195 campers how many boy

Vanyuwa [196]

Ok,

8x - amount of boys
7x - amount of girls

8x + 7x = 195
15x = 195
195 / 15 = 13
x = 13

Plug in 13 for x
8 * 13 = 104
7 * 13 = 91

There are 104 boys and 91 girls

Hope this helps!

3 0

3 years ago

The digit in the tens placeof a two digit is three times that in the units place. if the digits are reversed , the new no will b

Charra [1.4K]

If a number's ten digit is $x$ and the units digit is $y$ , then you can write the number as $10x+y$ .

Obviously, inverting the digits would lead to the number $10y+x$ .

Since this new number is 36 less than the original, we have

$10y+x = 10x+y-36 \iff 9x-9y=36\iff x-y=4$

Since we also know that the digit in the tens place is three times that in the units place, we can add an equation to form a system:

$\begin{cases}x-y=4\\x=3y\end{cases}\iff 3y-y=4\iff y=2$

And thus $x=2\cdot 3=6$

6 0

3 years ago