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Rom4ik [11]
3 years ago
8

a water balloon is tossed into the air with an upward velocity of 25 ft/s its height h(t) in ft after t seconds is given by the

function h(t) = -16t^2+25t+3 after how many seconds will the balloons hit the ground?
Mathematics
1 answer:
Montano1993 [528]3 years ago
4 0
When the height is 0 that is when it hits the ground
solve
0=-16t²+25x+3
cant factor so use quadratic formula

for
0=ax²+bx+c
x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}

so for
0=-16t²+25t+3
a=-16
b=25
c=3
so

x=\frac{-25+/-\sqrt{25^2-4(-16)(3)}}{2(-16)}
x=\frac{-25+/-\frac{625+192}}{-32}
x=\frac{-25+/-\frac{817}}{-32}
it has to be a positive time

so it will hit the ground after \frac{25+\sqrt{817}}{32} seconds
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[02.05] Marcie solved the following inequality, and her work is shown below: −2(x − 5) − 12 ≤ 4 + 6(x + 3) −2x + 10 − 12 ≤ 4 + 6
Nezavi [6.7K]
Hi there! Marcie made a mistake in the last step of the solving process.

Let's solve this problem step by step!
−2(x − 5) − 12 ≤ 4 + 6(x + 3)

First work out the parenthesis, which can for instance be done using rainbow method.

−2x + 10 − 12 ≤ 4 + 6x + 18
The parenthesis are worked out correctly. Remember that multiplying a negative by a negative gives you a positive.

Now we can collect the terms.
−2x − 2 ≤ 6x + 22

The terms are collected correctly.

Next up is subtracting 6x from both sides and adding 2 to both sides of the inequality.
−8x ≤ 24

This step is also correct.
Finally we must divide both sides of the inequality by -8 to find our answer. Be aware of the fact that the sign flips when dividing by a negative!

x ≤ −3
Mistake! Marcie forgot to flip the sign. Instead the answer should be x \geqslant - 3

~ Hope this helps you!
4 0
3 years ago
The teacher asked 4 students to measure 4 different objects. The table shown represents their measurements. Which student had th
Maru [420]

Student 4 has the largest percent error.

Step-by-step explanation:

The percent error of a measurement is given by

p=\frac{|x-x_{true}|}{x_{true}}\cdot 100

where

x is the value of the measurement

x_{true} is the actual value

For student 1:

x=49\\x_{true}=50

Percent error:

p=\frac{|49-50|}{50}\cdot 100=0.02\cdot 100=2\%

For student 2:

x=25.5\\x_{true}=25

Percent error:

p=\frac{|25.5-25|}{25.5}\cdot 100=0.0196\cdot 100 = 1.96\%

For student 3:

x=7.5\\x_{true}=8

Percent error:

p=\frac{|7.5-8|}{8}\cdot 100=0.0625\cdot 100 = 6.25\%

For student 4:

x=2.1\\x_{true}=1.6

Percent error:

p=\frac{|2.1-1.6|}{1.6}\cdot 100=0.3125\cdot 100 = 31.25\%

So, student 4 has the largest percent error.

Learn more about errors:

brainly.com/question/2764830

#LearnwithBrainly

4 0
3 years ago
10) (k - 9) (5k - 8)
zalisa [80]
5k²-8k-45k+72 = 5k²-53k+72

Answer: 5k² - 53k + 72
7 0
3 years ago
Yvette has 366 eggs to put into cartons. She puts one dozen eggs into each carton. How many cartons does she fill?
Anna [14]
You are going to divide 366 by 12 you get 30.5 so 30 filled cartons
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7 0
2 years ago
8y + 4x + 6y=? Plz help
postnew [5]

Answer:

idk, sorry about that one

8 0
3 years ago
Read 2 more answers
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