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Dennis_Churaev [7]
3 years ago
9

April shoots an arrow upward at a speed of 80 feet per second from a platform 25 feet high. The pathway of the

Mathematics
1 answer:
zaharov [31]3 years ago
6 0

Answer:

The maximum height of the arrow is 125 feet.

Step-by-step explanation:

The pathway of the arrow can be represented by the equation,

h = -16t^2 +80t + 25 .....(1)

Where h is height in in feet and t is time in seconds.

It is required to find the maximum height of the arrow. For maximum height, \dfrac{dh}{dt}=0.

So,

\dfrac{d(-16t^2 +80t + 25)}{dt}=0\\\\-32t+80=0\\\\t=\dfrac{80}{32}\\\\t=2.5\ s

Put t = 2.5 s in equation (1). So,

h = -16(2.5)^2 +80(2.5) + 25\\\\h=125\ \text{feet}

So, the maximum height of the arrow is 125 feet.

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Write and equation in slope-intercept form of the line with slope -1/2 that contains the point (-4,-3)
Karolina [17]

Answer:

y=-1/2x-5

Step-by-step explanation:

Well we know that the slope is -1/2 so we can write the equation like this:

y=-1/2x+b (This is because of y=mx+b) (m is slope) (b is y-intercept)

Now we can replace the y and x with -4 and -3 because of (x,y). (-4,-3) x is -4 and y is -3

-3=-1/2(-4)+b

-3=2+b

Subtract 2 on both side:

-2-3=2-2+b

-5=b

Answer:

y=-1/2x-5

Hope this helps!

6 0
3 years ago
HELP ASAP PLEASE you make $20 an hour and work fro 40 hours a week, you are paid biweekly and have $185 total deducted from your
VMariaS [17]

Answer:

615

Step-by-step explanation:u make $20 a week and u worked 40 hours u jus do 40*20=$800

800-185=615 im pretty sure hope this helps


8 0
3 years ago
Read 2 more answers
1. Emily filled an empty horse trough with water. The water level, in centimeters, is proportional to time elapsed, in minutes,
Pie
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
depth of water is proportional to time
d = k*t
<span>d = 7/2 * t </span>
<span>a) the point (2,28) represents the rate 28/8 </span>
b) 3.5 cm/sec
<span>c) the slope between  (8, 28) and (6, 21) is 7/2 = 3.5</span>

3 0
3 years ago
(-11x^2 +6) - (14x^2 +2)
Nataly [62]

Answer:

−1(5−2)(5+2)

Step-by-step explanation:

Eliminate redundant parentheses

(−11²+6)−1(14² +2)

Distribute

−11² + 6 -- 1(14² +2)

−11² + 6 - 14² − 2

8 0
2 years ago
The notation __1____ reads the probability of Event B given that Event A has occurred. If Events A and B are independent, then t
telo118 [61]

P(B|A) (option B)

Doesn't affect (option A)

P(B|A) = P(B) (option A)

Explanation:

1) Conditional probabilities could be in the form P(A|B) or P(B|A)

P(B|A) is a notation that reads the probability of event B given that event A has occurred.

P(B|A) (option B)

2) Independent events do not affect the outcome of each other

For event A and B to be independent, the probability of event A occurring doesn't affect the the probability of event B occurring

Doesn't affect (option A)

3) Events A and B are independent if the following are satisfied:

P(A|B) = P(A)

P(B|A) = P(B)

The ones that appeared in the option is P(B|A) = P(B) (option A)

3 0
1 year ago
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