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BARSIC [14]
3 years ago
9

An object is thrown upward from the top of an 80ft tower. The height h of the object after t seconds is represented by the quadr

atic equation h=-16t^2+64t+80. After how many seconds will the object hit the ground?
a)29 seconds
b)6.4 seconds
c) 5.0 seconds
d) 8.0 seconds
Mathematics
1 answer:
dybincka [34]3 years ago
3 0
0 = -16t²+64t+80

Finding the roots of the equation:

-16(t² - 4t - 5) = 0

-16(t-5)(t+1) = 0

t = 5, t = -1. Time cannot be negative, so after 5 seconds it will hit the ground.
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The height is around 4.77 mm
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The average annual salary of the employees of a company in the year 2005 was $70,000. It increased by the same factor each year
dezoksy [38]
We can make use of the general formula for the geometric series to generate the function representing the average annual salary.
an = a0(r)^(n-1)

Or
f(x) = a0(r)^(x - 1)

Plugging in the given values for the year 2005 and 2006 to ge the value of r.
82000 = 70000 (r)^(1-1)
r = 1.1714

Therefore, the function is:
f(x) = 70,000 (1.1714)^(x-1)
3 0
3 years ago
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use the model to solve 4 friends equally split in one half of a pound of candy how much will each friend get​
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3 years ago
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3.) SOLVE FOR X.
gayaneshka [121]

The value of x in the secants intersection is 1 units

The value of NM in the tangent and secant intersection is 51 units

<h3>How to find length when secant and tangent intersect?</h3>

The first question, two secant intersect outside the circle.

Therefore,

(6x + 8x)8x = (9 + 7)7

14x(8x) = 16(7)

112x² = 112

x² = 112 / 112

x = √1

x = 1

The second question, tangent and secant intersect,

Therefore,

(x + 3)² = (x - 3)(16 + x - 3)

(x + 3)² = (x - 3)(x + 13)

(x + 3)(x + 3) = (x - 3)(x + 13)

x² + 3x + 3x + 9 = x² + 13x - 3x - 39

x² + 9x + 9 = x² + 10x - 39

x² - x² + 9x - 10x = -39 - 9

-x = - 48

x = 48

NM = 48 + 3 = 51 units

learn more on secant and tangent here: brainly.com/question/12477905

#SPJ1

6 0
1 year ago
Christian reads 14 book every 23 week. How many books does Christian read per week? ​ 16 ​ ​ 38 ​ ​ 223 ​ 6
Drupady [299]

。☆✼★ ━━━━━━━━━━━━━━  ☾

Divide by 2 to get 1/3 of the week:

1/4 / 2 = 1/8

Multiply by 3 to get the full week:

1/8 x 3 = 3/8

Thus your answer is B. 3/8

Have A Nice Day ❤  

Stay Brainly! ヅ  

- Ally ✧  

。☆✼★ ━━━━━━━━━━━━━━  ☾

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3 years ago
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