1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Leviafan [203]
3 years ago
8

the height y of a ball thrown by a child is given by y = -1/12x^2 + 2x + 4. how high is the ball when it is at its maximum heigh

t
Mathematics
1 answer:
zhuklara [117]3 years ago
3 0

Answer:

The height of ball when it is at maximum height is 12  unit

Step-by-step explanation:

Given as :

A ball is thrown by child to height y

And y as a function  x is y = -\frac{1}{12}x^{2}+2x+4

So, for maximum value of height ,

\frac{\partial y}{\partial x}  = 0

Or , \frac{\partial (-\frac{1}{12}x^{2}+2x+4)}{\partial x} = 0

Or, -\frac{1}{12}(2x)+2 = 0

Or, \frac{1}{12}(2x) = 2

or,  x = 12

Hence The height of ball when it is at maximum height is 12  unit  Answer

You might be interested in
I only need someone to put it in the quadratic formula I already have solutions. Please answer ASAP!!! I will give brainliest!!!
KengaRu [80]

The quadratic formula is \frac{-b+-\sqrt[2]{b^2-4ac}}{2a}

and in the equation ax^2+bx+c=0

so now all you have to do is substitute the numbers into the quadratic formula

7 0
2 years ago
Does anyone know how to do geometry
Katena32 [7]
So all the angles on one side should equal 180.
50+55= 105
180-105=75
12x+3=75
12x=72
12*6=72
x=6
4 0
3 years ago
I need help on #12 please
Novosadov [1.4K]
So 10.38 gal at 2.289 oer gal but you want american mony so round 2.289 to two decimal places so 2.29 per gallon

2.29 times 10.38=23.7702 but you just cross out the '2' in the ten-thousanth's place because 1/50 of a cent is really small


it is not possible to pay 9/10 of a cent so they just want you to round it up to 1 cent or10/10 cent
8 0
3 years ago
Kaden works 5 days. The median number of hours he works is 3. The mean number of hours he works is 4.
alisha [4.7K]

Answer:

(a) 1, 2, 3, 6, 8

Step-by-step explanation:

Given

Median = 3

Mean = 4

Required

The sequence of hours worked each day

<em>See attachment for options</em>

From the question, we understand that:

Median = 3

This means that, the middle number is 3 (when sorted)

So, we can conclude that (b) and (c) cannot be true because their middle numbers are 6 and 5 respectively

Next, is to determine the mean of (a) and (d)

The mean of a data is calculated as:

\bar x = \frac{\sum x}{n}

So, we have:

(a)

\bar x = \frac{1+ 2+ 3+ 6+ 8}{5}

\bar x = \frac{20}{5}

\bar x = 4

(d)

\bar x = \frac{1+ 2+ 3+ 4+ 5}{5}

\bar x = \frac{15}{5}

\bar x = 3

Option (a) is true, because it has:

Median = 3

Mean = 4

7 0
3 years ago
3. The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population p
damaskus [11]

Answer:

A)sample proportion = 0.17,  the sampling distribution of p can be calculated/approximated with normal distribution of sample proportion = 0.17 and standard error/deviation = 0.013281

B) 0.869

C)0.9668

Step-by-step explanation:

A) p ( proportion of population that spends more than $100 per week) = 0.17

sample size (n)= 800

the sample proportion of p = 0.17

standard error of p = \sqrt{\frac{p(1-p)}{n} } = 0.013281

the sampling distribution of p can be calculated/approximated with

normal distribution of sample proportion = 0.17 and standard error/deviation = 0.013281

B) probability that the sample proportion will be +-0.02 of the population proportion

= p (0.17 - 0.02 ≤ P ≤ 0.17 + 0.02 ) = p( 0.15 ≤ P ≤ 0.19)

z value corresponding to P

Z = \frac{P - p}{standard deviation}

at P = 0.15

Z =  (0.15 - 0.17) / 0.013281 = = -1.51

at P = 0.19

z = ( 0.19 - 0.17) / 0.013281 = 1.51

therefore the required probability will be

p( -1.5 ≤ z ≤ 1.5 ) = p(z ≤ 1.51 ) - p(z ≤ -1.51 )

                           = 0.9345 - 0.0655 = 0.869

C) for a sample (n ) = 1600

standard deviation/ error = 0.009391 (applying the equation for calculating standard error as seen in part A above)

therefore the required probability after applying

z = \frac{P-p}{standard deviation} at p = 0.15 and p = 0.19

p ( -2.13 ≤ z ≤ 2.13 ) = p( z ≤ 2.13 ) - p( z ≤ -2.13 )

                               = 0.9834 - 0.0166 = 0.9668

7 0
3 years ago
Read 2 more answers
Other questions:
  • Help with 1 and 3 if possible show work
    11·1 answer
  • Find the measure of ∠FEG.<br><br> 1. 25°<br> 2. 65°<br> 3. 80°<br> 4. 90°
    6·2 answers
  • What’s the order from<br> Least to greatest
    5·1 answer
  • Circle O is shown. 2 tangents intersect at a point outside of the circle which is labeled Satellite. The angle formed is 20 degr
    13·1 answer
  • Pls answer quickly as possible!​
    11·2 answers
  • I need help really bad in this answer
    8·2 answers
  • There are 14 horses and 56 camels at the stable. What fraction of animals in the stable are horses? *
    6·1 answer
  • Please answer correctly!! I’ll mark as brainliest! <br><br> No links no fake answers
    13·1 answer
  • How to solve linear equations with variables on both sides of a triangle
    5·1 answer
  • What coordinate plane shows the graph of 3x+y&gt;9 ?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!