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evablogger [386]
1 year ago
12

Sloane kicked a soccer ball off the ground at a speed of 36 feet per second. the height of the ball can be represented by the fu

nction h(t) = −16t2 36t where t is the time in seconds. . how many seconds did the ball travel before returning the ground? t = 0.44 seconds t = 2.25 seconds t = 16 seconds t = 36 seconds
Mathematics
1 answer:
deff fn [24]1 year ago
4 0

The total time in seconds the ball will take to travel before returning the ground is 2.25 seconds.

<h3>What is factorisation?</h3>

The breaking or breakdown of an entity (such as an integer, a matrices, or a polynomials) into a products of another unit, or factors, whose multiplication results in the original number, matrix, etc., is known as factorisation or factoring in mathematics. 

Calculation for the time;

Let 't' be the time in second the ball will travel.

Let H(t) be the total height travelled by the ball.

The equation of the height is given as

H(t)=-16 t^{2}+36 t

As soon as the ball will return to the ground the total height will become zero.

So, put equation of height equal to zero.

-16 t^{2}+36 t=0

Factorise the above equation;

-16 t\left(t-\frac{9}{4}\right)=0

Put each value equals to zero to get the value of time.

\begin{aligned}&t=0 \mathrm{sec} \\&t=9 / 4=2.25 \mathrm{sec}\end{aligned}

As, time can not be zero

Therefore, the total time taken by the ball to return to the ground is 2.25 sec.

To know more about factorisation, here

brainly.com/question/25829061

#SPJ4

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Please help &lt;3
Aleksandr [31]

Answer:

x =3

Step-by-step explanation:

3(4x + 4) = 2(5x+9) - 12

First step is to open the brackets by multiplying. It becomes

3×4x + 3×4 = 2×5x + 2×9 -12

12x + 12 = 10x + 18 - 12

Collecting like terms on the right hand side and left hand side of the equation, it becomes

12x -10x = 18 -12 -12

2x = -6

Negative sign on the right hand side of the equation overwhelms the positive sign on left hand side of the equation. It becomes

2x = -6

x = -6/2 = -3

Checking

3(4×-3 + 4) = 2(5×-3+9) - 12

-24 = -12-12= -24

So x = -3

3 0
3 years ago
A poll asked 1057 American adults if they believe there was a conspiracy in the assassination of President Kennedy, and found th
AVprozaik [17]

Answer:

The 95% confidence interval of the proportion of Americans who believe in the conspiracy is  0.551<  p <  0.610

Step-by-step explanation:

From the question we are told that

   The sample size is  n =1057

   The number that believe there was a conspiracy is  k = 614

Generally the sample proportion is mathematically represented as

      \^ p =  \frac{614}{1057 }

=>   \^ p = 0.5809

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

     E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }

=>   E = 1.96 * \sqrt{\frac{0.5809 (1- 0.5809)}{1057} }    

=>   E = 0.02975  

Generally 95% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

=>    0.5809 - 0.02975<  p <  0.5809 + 0.02975

=>    0.551<  p <  0.610

4 0
3 years ago
On Friday, the temperature was 82°F. The temperature changed by –2°F on Saturday, and then it changed by 5°F on Sunday. What was
postnew [5]

Answer:

the temp on Sunday was 85, it changed by going down 2 degrees, and up 5 degrees

Step-by-step explanation:

when it says -2 degrees F its basically saying subtract 2, and then go on and add 5

4 0
3 years ago
Read 2 more answers
A percent measures a rate
PtichkaEL [24]




Per 1,000 units the last one
6 0
2 years ago
Read 2 more answers
While waiting for a video game to download, you notice that 30% of 32,000 kilobytes have been downloaded so far.
madam [21]
30%=30/100=0.3

0.3(32,000)=

9600kb downloaded

32 Megabite game? That'll be done is seconds on most connections. (the slowest of connections ive seen are about 20 mb/s)

3 0
3 years ago
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