The formula for throwing a baseball in the air is represented by h=-16t^2 + 12t + 40 where h is the height of the ball. What is the maximum height of the ball?

Answers

Answer 1

Answer:

the maximum height of the ball is 42.25 m

Step-by-step explanation:

Given the height function as;

h(t) = -16t² + 12t + 40

At maximum height, the final velocity of the ball will be zero.

The final velocity is calculated as follows;

[tex]v = \frac{dh(t)}{dt} = -32 t+ 12\\\\at \ maximum \ height\ v = 0\\\\Thus, -32 t+ 12 = 0\\\\32t = 12\\\\t = \frac{12}{32} \\\\t = 0.375 \ s[/tex]

At maximum height, the time of motion of the ball is 0.375 s.

The maximum height is calculated as follows;

h(t) = -16t² + 12t + 40

h(0.375) = -16(0.375)²   +   12(0.375)    +   40

h(0.375) = -2.25  +  4.5  +  40

h(0.375) = 42.25 m

Therefore, the maximum height of the ball is 42.25 m


Related Questions

There are five puppies in a box, two are girls and three are boys What is the ratio of girls to boys

Answers

Answer:

2:3

Step-by-step explanation:

2 would represent the Fraction of girls 3 would represent the fraction of boys.

Answer:

2:3

Step-by-step explanation:

The ratio is a relation between two amounts of something. In our case, we compare the amount of girl puppies to boy puppies, and so we get the following ratio...

2:3

Please help if you know the answer please

Answers

Answer:

dont know the answer. Good luck :)

Step-by-step explanation:

What is the measure of arc AB?
A. 153
B.140
C.142
D.180

Answers

Answer:

153

Step-by-step explanation:

don't know explanation

Angles 38 and AB form a 180 degree
38+AB=180
AB=142

The arc measure is equal to the central point
Arc AB=142

At the Fisher farm, the weights of zucchini squash are Normally distributed. Which standardized weight represents the top 10% of the zucchinis?

Find the z-table here.

–1.64
–1.28
1.28
1.64

Answers

Thus, the standardized weight which represents the top 10% of the zucchinis from the z-table for the fisher farm is 1.28.

How to get the z scores?

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]

Here, X is sample, is μ mean and is σ standard deviation.

At the Fisher farm, the weights of zucchini squash are Normally distributed.

For the normal distribution let the value of mean is 0 and standard deviation 1. Thus,

[tex]Z = \dfrac{X - \mu}{\sigma}\\Z = \dfrac{X - 0}{1}\\Z=X[/tex]

For the top 10% of the zucchinis, the value of α is 0.9. From the table for this value the z score is,

[tex]Z=X=1.28[/tex]

Thus, the standardized weight which represents the top 10% of the zucchinis from the z-table for the fisher farm is 1.28.

Learn more about the z score here;

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if you randomly pick a date in april, how mny equally likely outcomes are there.

Answers

There are 30 days in April, so if you randomly pick a date in April there are 30 equally likely outcomes

I NEED HELP PLSSS HELP SHOW WORK IF YOU KNOW

Answers

PLEASE SHOW THE PROBLEM WE CANT SEE

wha the MIDPOINT of (-6, 8) and (6, -7)

Answers

the midpoint is (0, 1/2)
hope this helps

Answer:

here you are:

the midpoint for (-6,8) and (6,-7) is (0, 1/2)

Step-by-step explanation:

the midpoint for (-6,8) and (6,-7) is (0, 1/2)

There are 10 coins with total value of $2.50. There are quarters, dimes or nickels. There are as many dimes as nickels. How many coins of each type are there?
Help BRAINLEST to best answer QUICK HELP

Answers

40 quarters, 100 dimes total for now is 20$ and if u add 250 nickels, it will be 25$

Hope this helps!

Solve (x - 3)- + 7 = 97, where X is a real number. Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas. ​

Answers

Answer:

x=107 do you need explanation

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

It's "C"

Step-by-step explanation:

Answer and Step-by-step explanation:

We are given functions that show how much Frank gets payed at his two jobs.

To find his total pay, we must add the functions together.

T(x) = f+g(x) = 10x + 8x + 12

Add together 10x and 8x.

T(x) = 18x + 12

We get the answer to be:

C. T(x) = 18x + 12

#teamtrees #PAW (Plant And Water)

x^2-y^2+2y+1
Factorize

Answers

Answer:

Equation is already in factor form

Step-by-step explanation:

please help. will give brainliest! review the table of values for function p(x). what is lim (x -14) p(x), if it exists? (table and answer options pictured)

Answers

Answer:

DNE

Step-by-step explanation:

The the given table, we have;

As x approaches -14 from the left, at x = -14.001,  p(x) = 1.96

[tex]\lim \limits _{x \to -14^{-}} p(x) = 1.96[/tex]

As x approaches -14 from the right, at x = -13.999, p(x) = 1.97

[tex]\lim \limits _{x \to -14^{+}} p(x) = 1.97[/tex]

The value of p(x) when x = -14 is [tex]\lim \limits _{x \to -14} p(x)[/tex] = Undefined, or is not definable, therefore, p(x) Does Not Exist (DNE) when x = -14, and we have;

[tex]\lim \limits _{x \to -14} p(x)[/tex]  Does Not Exist, DNE.

Answer

It's C. 2 on edge.

Step-by-step explanation:

find the area of each figure. Round your answers to the nearest hundredth 11-12​

Answers

Answer:

17 and 18

Step-by-step explanation:

the answer is 17 and 18.....

Question 14 of 15


Evaluate (3/4)x^0

Answers

Answer:

I'm not sure if this is right, but I got 3/4. (0.75 as a decimal) I hope this helps!

Step-by-step explanation:

Answer: 3/4
Decimal form: 0.74

what does the word "solution" mean has to be in your own words please help ​

Answers

Answer:

an answer to a problem

Step-by-step explanation:

The tax rate at this restaurant is 9.5%.




Marc’s sales tax is $1.61. How much was his subtotal?

Answers

Answer:

I don't know, I'm just doing this to get points. lol

Step-by-step explanation:

haha

If a1=4 and an =2an-1 – 1 then find the value of a4.

Answers

1 = 4

a2 = -2(a1) - 1
a2 = -2(4) - 1
a2 = -9

a3 = -2(a2) - 1
a3 = -2(9) - 1
a3 = -19

Can you do a4 and a5 and answer?

The value of [tex]a_{4} = 37[/tex].

Here,

The value of [tex]a_{1} = 4[/tex]

And,  [tex]a_{n} = 2 a_{n-1} -1[/tex]

We have to find value of [tex]a_{4}[/tex].

What is Sequence?

A sequence is a collection of elements that are arranged according to a specific pattern.

Now,

The value of [tex]a_{1} = 4[/tex]

And,  [tex]a_{n} = 2 a_{n-1} -1[/tex]

Then to find value of [tex]a_{4}[/tex], we can find [tex]a_{2} , a_{3}[/tex] as;

[tex]a_{2} = -2(a_{1} ) - 1\\a_{2} = -2(4) - 1\\a_{2} = -9[/tex]

And,

[tex]a_{3} = -2(a_{2} ) - 1\\a_{3} = -2(9) - 1\\a_{3} = -19[/tex]

Hence, the value of [tex]a_{4}[/tex] is;

[tex]a_{4} = -2(a_{3} ) - 1\\a_{4} = -2(-19) - 1\\a_{4} = 37[/tex]

Therefore, The value of [tex]a_{4} = 37[/tex].

Learn more about the sequence visit:

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c
76 mm
57 mm
What is the length of the hypotenuse?
C =
millimeters

Answers

Answer:

19.7

Step-by-step explanation:

Find the difference. Write your answer in scientific notation.
(2.4 x 10^-1) - (5.5 x 10^-2) =

Answers

Answer:

0.185 Step-by-step explanation:

(2.4 x 10^-1) - (5.5 x 10^-2)

0.24-0.055= 0.185

Tricia made a circular mat from a square piece of cloth.
-Picture-
Which is closest to the circumference, in inches, of the circular mat?
A. 44 inches
B. 88 inches
C. 154 inches
D. 616 inches

Answers

Answer:

The circumference of the circle has a measurement of 44 inches

Step-by-step explanation:

From the question, as we can see, the given length represents the diameter of the circle

To get the circumference of the circle, we use the formula for the circumference

this is;

C = pi * d

in this case, d = 14 in

Thus, we have it that;

C = pi * 14 = 14 * 22/7 = 44 in

help me, please......

Answers

Answer:

Obstuse scalene

Step-by-step explanation:

Scalene - no sides are equal

the triangle is obtuse

Answer:

obtuse scalene

Step-by-step explanation:

An obtuse triangle is any triangle that has an obtuse angle. An obtuse angle is one that measures greater than 90 degrees. (so we know that this is obtuse)

A scalene triangle is one which have all three sides of a triangle of different lengths and all three angles of different measures (the three sides are diffrent  so this applies)

In geometry, an isosceles triangle is a triangle that has two sides of equal length (this does not apply)

Hope this helps!

Solve the following equation for x
IDEA: isolate the base ^power and then raise to the reciprocal power

5x^2/3 - 10= 35

Answers

Answer:

5x^2 (fraction over 3- 10=35

Step-by-step explanation:

Eva is showing her work in simplifying (7.3 − 7.2) − 3.8 + 3.7. In which step did Eva make an error?

Step 1: (7.3 − 7.2) − 3.8 + 3.7

Step 2: 7.3 + (−7.2 − 3.8) + 3.7 (commutative property)

Step 3: 7.3 − 11 + 3.7

Step 4: 7.3 + 3.7 − 11 (commutative property)

Step 5: 11 − 11 = 0

Step 2; she wrote commutative instead of distributive
Step 4; she wrote commutative instead of distributive
Step 4; she wrote commutative instead of associative
Step 2; she wrote commutative instead of associative

Answers

Answer:

I think step 4

Step-by-step explanation:

Answer:

Step 2; she wrote commutative instead of associative

Step-by-step explanation:

i took the test the other one is wrong

solve the inequality 4x + 6>22

Answers

Answer:

it is x>4 I solved it out.

a car drives at a speed of 90km/h for 2 hours and 20 minutes how far does the car drive ?

Answers

Answer:

explanation

Step-by-step explanation:

it drives 18 miles?

I'm not sure.

if I am right plz give brainliest

Robert can type 360 words in 3 minutes. Jocelyn can type 525 words in 5 minutes.

Who is typing at a faster rate? Explain your reasoning.

Answers

Step-by-step explanation:

Robert: 360/ 6 = 62 words per minute

Jocelyn: 525/ 5= 58 words per minute

Jocelyn types faster. I haven't done 5th grade math in so long... lol if wrong please correct me..

Find the missing number to make these fractions equal. 6/? = 4/12

Answers

Answer is 18

Step by step explanation

6/? = 4/12
?=6*12/4=18
The answer will be 18

HELPPPP!!! and get brainliest!!!!!!! + 22 points

THANK YOUU

Function g can be thought of as a scaled version of f(x) = 2²,


Write the equation for g(x)

Answers

Answer:

Step-by-step explanation:

b/c the function goes thur the point (1,4) we know it's 4 times more than f(x) so g(x) = 4[tex]x^{2}[/tex]

What is The meadian of 26 29 31 33 36

Answers

the median is 31. hope this helps!!

Answer:

31

Step-by-step explanation:

The median is the middle value of the data arranged in ascending order, so

26,  29,  31,  33,  36

               ↑ middle value

median = 31

Wilson began watering his garden with a watering can that was completely full. The amount of water in the can as Wilson was watering can be represented by a linear function and is shown in the graph below. Which statement is correct​

Answers

Answer:

B. The amount of water originally in Wilson's can was 2.5 gallons.

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