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ipn [44]
4 years ago
12

The quadratic equation h(t)=-16.1t^2+150 models a balls height,in feet, over time, in seconds, after it is dropped from a 15 sto

ry building. How many seconds, rounded to the nearest hundredth, did the ball hit the ground?
Mathematics
1 answer:
Nat2105 [25]4 years ago
8 0
h(t)=-16.1t^{2}+150. \newline\frac{d}{dt}[h(t)=-16.1t^{2}+150] = h'(t) = -\frac{161}{10} \cdot \frac{d}{dt}[t^{2}] + \frac{d}{dt}[150] = 0-\frac{161\cdot2t}{10} = -\frac{161t}{5} = -32.2t \Rightarrow t = 32.2 \ s.
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Jessie works at a car manufacturing plant. One day she installed a total of 46 axles, 2 in each car she worked on. She wants to
shtirl [24]

Answer:

<h2>             23 cars</h2>

Step-by-step explanation:

total number of cars:    x

the total number of axles:    46

and the number of axles  installed per car:   2

2 axles in each car, then total instaled axles:  2•x

2•x = 46

x = 46÷2

x = 23

5 0
3 years ago
How would you choose to reduce the system shown to a 2 × 2? Explain why you would choose this approach. –3x + y – 2z = 10 (1) 5x
gladu [14]
-3x + y - 2z = 10      |* -1
3x  -  y  +2z = -10
5x  -2y -2z =  12 
---------------------------      I add these equations   term by term 
8x  - 3y  = 2 

-3x  + y - 2z =10                       ⇒  -3x  + y   - 2z =10
x     -y    +z = 23         | *2              2x   - 2y + 2z = 46
                                                   -----------------------------  I add these eq.
                                                       -x  -y  = 56

8x  - 3y  = 2 
-x   -y    = 56

this is the system after i reduce it ( it has only two variables x and y)




4 0
3 years ago
Read 2 more answers
Jill sold half of her comic books then bought 16 more, she now has 36. With how many did she begin with? Break it down please
marusya05 [52]
A: 40

Let’s do this problem backwards.


TOTAL BOOKS RN: 36

1)
“Jill... then bought 16 more...”

36 - 16 = 20

After subtracting that amount, we would end up with half of the books Jill DID NOT sell.

2)
2 • 20 = 40

At this point, we multiplied amount of books she had after she sold half of her comic books by the reciprocal of 1/2

And now you have your answer!
4 0
3 years ago
Please answer this question asap will be marked brainliest
Papessa [141]

Answer: 9.85 inches

Step-by-step explanation:

Each point on the graph represents the total rainfall in one month in this desert. For instance, the 2 points on top of 1.0 inches indicates that there were two months in the year where rainfall was 1.0 inches.

The total rainfall in this desert was therefore:

= 0.4 + 0.5 + 0.5+ 0.6 + 0.85 + 0.85 + 0.95 + 1.0 + 1.0 + 1.05 + 1.05 + 1.1

= 9.85 inches

4 0
3 years ago
57 117find x triangle ​
alexandr402 [8]

Answer:

60

Step-by-step explanation:

x = 180 - [ 57 + ( 180 - 117 ) ]

= 180 - [ 57 + 63 ]

= 180 - 120

x = 60

6 0
3 years ago
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