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NeX [460]
3 years ago
7

PLEASEE HELP!!

Mathematics
1 answer:
Alex777 [14]3 years ago
5 0

Answer:

<h2>A)t=6.7</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • quadratic equation
  • quadratic equation word problems
  • solving quadratic
<h3>given:</h3>

h(t) = -4t² + 12t + 100

<h3>to solve:</h3>

t

<h3>tips and formulas:</h3>
  • <u>the</u><u> </u><u>Ball</u><u> </u><u>will</u><u> </u><u>hit </u><u>the</u><u> ground</u><u> </u><u>when</u><u> </u><u>the</u><u> height</u><u> is</u><u> </u><u>0</u>
  • <u>solving</u><u> </u><u>quadratics </u><u>using</u><u> </u><u>quadratic</u><u> formula</u>
  • <u>PEMDAS</u>
<h3>let's solve: </h3>

step - 1 :  \: define

- 4 {t}^{2}  + 12t + 100 = 0

step - 2 :  \\ divide \: both \: sides \: by \:  - 4

{t}^{2}  - 3t - 25 = 0

step - 3 :  \\ solve \: the \: quadratic

formula :  \\ x =  \frac{ - b± \sqrt{ {b}^{2} - 4ac }  }{2a}

define \: a ,b \: and \: c \\ which \: are \: 1, - 3 \: and \:  - 25 \: respectively

t =  \frac{ - ( - 3)± \sqrt{ {( - 3)}^{2} - 4.1. - 25 }  }{2.1}

t =  \frac{  3± \sqrt{ 9    + 100}  }{2}

t = \frac{3 +  \sqrt{ 109 } }{2}

t =  \frac{3  -  \sqrt{ 109 } }{2}

t = 6.7 \\ t =  - 3.7

as \: we \: know \: time \: cannot \: be \: negative

\huge \therefore \: t = 6.7

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I need help with this question, I can work out the ratio but I am just confused with the question. So do help if you can please.
nirvana33 [79]

Answer:

76%

Step-by-step explanation:

So basically 528 represents a full circle and the amount in the circle is 2:5 to that in the stalls.

So you divide 528 by 2 and then multiply it by 5 to get a full stall of 1320

you then add 1320 and 528 to get a full theater of 1848

to get 2/3 of seats in the stall you divide 1320 by 3 and then multiply it by 2 to get 880.

For 2/3 of the stall and a full circle you add 880 and 528 to get 1408.

You divide the amount of people in the theater on Friday by the total amount of people which the theater can hold so 1408 divided by 1848 and you get the percentage of 76%

8 0
3 years ago
A hot air balloon went from an elevation of 4,064 feet to an elevation of 3,322 feet in 28 minutes. What
ELEN [110]

Answer:

<em>The air balloon descends 26.5 feet per minute</em>

Step-by-step explanation:

<u>Rate of Change</u>

The rate of change is a measure that compares two quantities, usually to know how one variable changes in time.

The hot air balloon was 4,064 feet high and, 28 minutes later, it went to 3,322 feet. We can calculate the rate of descent R by dividing the change of elevation over time:

\displaystyle R=\frac{3,322-4,064}{28}=\frac{-742}{28}=-26.5

Thus the air balloon descends 26.5 feet per minute

3 0
3 years ago
What is the slope of the line that passes through the points (-3, 5) and (1, 7)?
Stells [14]

Answer: The slope of the line is \frac{1}{2}

Step-by-step explanation:

The slope of a line can be calculated with the following formula:

m=\frac{y_2-y_1}{x_2-x_1}

Then, given the points (-3, 5) and (1, 7), you can identify that:

y_2=5\\y_1=7\\\\x_2=-3\\x_1=1

Knowing these values you can substitute them into the formula for calculate the slope:

m=\frac{5-7}{-3-1}

Finally, evaluating, you get that the slope of that line is:

m=\frac{-2}{-4}\\\\m=\frac{1}{2}

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Which relation is not a function?
sashaice [31]
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help At 1:00 P.M. the water level of a pool is 13 inches At 1:30 P.M. the water level is 18 inches At 2:30 the water level is 28
mamaluj [8]
The answer is 5 . because if you count the # it will go to 28
7 0
2 years ago
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