The equation h = -16t 2+ 53x + 8 gives the height h, in feet, of a football as a function of time t, in seconds, after it is kicked. What is the maximum height the football reaches?

Answers

Answer 1

Answer: The maximum height the football reaches = 51.89 feet.

Step-by-step explanation:

Given: The equation [tex]h = -16t^2+ 53t + 8[/tex] gives the height h, in feet, of a football as a function of time t, in seconds, after it is kicked.

Differentiate the given equation, we get

[tex]h'=-(2)16t+53=-32t+53[/tex]   (i)

Put [tex]h'=0[/tex]

[tex]\Rightarrow\ -32t+53=0\\\\\Rightarrow\ t=\dfrac{53}{32}\approx1.65625[/tex]

Differentiate (i) w.r.t. t, we get

[tex]h''=-32[/tex] < 0  i.e. h is maximum at t= 1.65625

The value of h at t= 1.65625 will be [tex]-16(1.65625)^2+53(1.65625)+8=51.890625\approx51.89\text{ feet}[/tex]

Hence, the maximum height the football reaches = 51.89 feet.


Related Questions

What is the value of x?
0 12
O 10
06
08

Answers

Answer:

8

total degree inside pentagon is (n - 2) x 180 = 540

180-62 = 118

180-66 = 114

180-77 = 103

180-59 = 121

118+114+103+121 = 456

540 - 456 = 84

84 + 12x = 180

12x = 180-84

x = 96/12

x = 8

The value of x in the given pentagon is 8.

Option D is the correct answer.

What is a Pentagon?

A pentagon is a polygon that has five sides and five angles.

The sides and angles of a pentagon are not all equal unless it is a regular pentagon.

A regular pentagon has five equal sides and five equal angles.

We have,

For a pentagon, n = 5, so we have:

total degree = (5 - 2) × 180 degrees

total degree = 3 × 180 degrees

total degree = 540 degrees

Now,

Each angle makes a straight angle.

So,

77 + a = 180

a = 180 - 77 = 103

59 + b = 180

b = 180 - 59 = 121

c + 66 = 180

c = 180 - 66 = 114

d + 62 = 180

d = 180 - 62 = 118

Now,

a + b + c + d + e = 540

103 + 121 + 114 + 118 + e = 540

e = 540 - 456

e = 84

Now,

12x + 84 = 180

So,

12x = 180 - 84

12x = 96

x = 8

Thus,

The value of x is 8.

Learn more about the Pentagon here:

https://brainly.com/question/30182047

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The corner of a room where two walls meet the floor should be a
right triangle. Jeff makes a mark along each wall. One mark is 12
inches from the corner. The other is 9 inches from the corner. How
can Jeff use the Pythagorean Theorem to see if the walls form a
right angle?
If the distance across the floor from one mark to the other is
says that
inch(es), then the
because 122 + 92 = 0%, a right triangle is formed.

Answers

Answer:

Step-by-step explanation:

If the distance across the floor from one mark to the other is [15] inches then the [Pythagorean Theorem] says that because 12^2+9^2=[15]^2, a right triangle is formed.

Which equation has a graph parallel to the graph of
y = -2/3x + 2

Answers

Answer:

B

Step-by-step explanation:

The answer is b because the number is supposed to be next to the first number

ABC - DEF. What sequence of transformations will move ABC onto DEF?

Please help me!!

Answers

Answer:

it should be b i think

Step-by-step explanation:

Answer:

It was C

Step-by-step explanation:

I took the test

Gwen bought a 2 1/4 pound bag of Finch bird seed and 3 1/2 pound bag of parrot bird seed . The total cost for the two bags was $16.79 (Find the cost per pound if it is the same for both types of bird seed)

Answers

Answer:

Software comprises the entire set of programs, procedures, and routines associated with the operation of a computer system. The term was coined to differentiate these instructions from hardware—i.e., the physical components of a computer system.

Answer:

$2.92 would be the cost per pound

how to expand 2a²b-ab-a​

Answers

Answer:

[tex]a(2ab - b - 1)[/tex]

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

[tex]gcf = a[/tex]

2) Factor out the GCF. ( write the GCF first. then, in parentheses, divide each term by the GCF).

[tex]a( \frac{ {2a}^{2}b }{a} + \frac{ - ab}{a} - \frac{a}{a} [/tex]

3) Simplify each term in parentheses.

[tex]a(2ab - b - 1)[/tex]

NOWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW

Answers

Answer: X=147

Step-by-step explanation:

33+114= 147

two angles added together equals x

x=147

114+33=147
180-147=33
X=147°

Please please help help me please please help helps me please ASAP ASAP please ASAP thank you!!

Answers

Answer:

Ill help! If there is anything you need help with? lol

Step-by-step explanation:

Answer:

Look below.

Step-by-step explanation:

Blank 1:

We could see that the number line has been shaded from -2 to positive infinity. From this information we could conclude that the inequality for the number line would be (-2, + ∞).

Tip- If the circle is shaded then you use [ but if its not shaded then you use ( which is why we used the parenthesis for our answer.

What is the area of the rectangle?
A. 6,000 units2
B. 6,100 units2
C. 6,660 units2
D. 6,666 units2

Answers

The area of the rectangle is A. 6000
A. 6,000 units^2

The area of a rectangle equals its length times its width. 60 • 100 = 6,000

Juan and Rob are selling cookie dough for a school fundraiser. Juan has t tt cookie dough orders, and Rob has 40 4040 cookie dough orders. They have a total of 75 7575 cookie dough orders all together.

Answers

Answer:

35 cookie dough orders

Step-by-step explanation:

Juan and Rob are selling cookie dough for a school fundraiser. Juan has t cookie dough orders, and Rob has 40 cookie dough orders. They have a total of 75 cookie dough orders all together.

We have to calculate the number of cookie dough that Juan has.

The expression for the above question is given as:

t + 40 = 75

We collect like terms

t = 75 - 40

t = 35

Therefore, Juan has 35 cookie dough orders

Plz plz plz helpppppplllpl​

Answers

Answer:

both 20 and 12 but, 12 can be more accurate. Depends on your teacher's point of view.

please mark as brainliest

Part C
Vertical angles are the angles opposite each other when two lines intersect. Which angles are vertical to the given angles? Complete the table.

Answers

Answer:

angle A = Angle C: verticle angle

angle B = Angle D: verticle angle

angle E = Angle G: verticle angle

angle F = Angle H: verticle angle

angle B and A are supplementary

angle D and C are supplementary

angle E and F are supplementary

angle H and G are supplementary

Answer:angle A = Angle C: verticle angle

angle B = Angle D: verticle angle

angle E = Angle G: verticle angle

angle F = Angle H: verticle angle

angle B and A are supplementary

angle D and C are supplementary

angle E and F are supplementary

angle H and G are supplementary

also love ur pfp

Please tell me the steps to get to the answer.​

Answers

Answer:

10 cm x 15 cm i think

Step-by-step explanation:

Answer:

Area = 1/2 bh

Step-by-step explanation:

10 x 15 = 150/2 which is 75

What’s the missing side length

Answers

The answer is 6cm hop this helps
The answer would be 6cm because the length below is 10 and above is 4, so that would leave 6 cm of blank space

9+3s-7z-10z+2s
please help .

Answers

the answer to this would be

5
s

17
z
+
Use photo math it will rlly help

PLEASE HELP ILL GIVE BRAINLIST

Answers

Answer:

B.

E.

Step-by-step explanation:

Answer:

A= 4.889

B= 5.06

C= 4.972

D= 4.992

E= 5.01

Step-by-step explanation:

YOUR WELCOMEEEE :>

Which expressions are equivalent to (5g+3h+4)\cdot2(5g+3h+4)⋅2left parenthesis, 5, g, plus, 3, h, plus, 4, right parenthesis, dot, 2 ?

Answers

Answer:

C  None of the above

Step-by-step explanation:

Here are the required options

Choose all answers that apply

A  (5g+3h).8  

B  (5g+3h).6  

C  None of the above

Given the expression;

(5g+3h+4).2

Expand

(5g+3h+4).2

= 2(5g+3h+4)

= 2(5g) + 2(3h) + 2(4)

= 10g+6h+8

Checking option A;

(5g+3h).8

Expand

= 8(5g+3h)

= 8(5g) + 8(3h)

= 40g+24h

Checking option B:

(5g+3h).6

Expand

= 6(5g+3h)

Using the distributive law;

= 6(5g) + 6(3h)

= 30g+18h

Since none of the expressions for A and B is equivalent to 10g+6h+8, hence NONE of the options are correct

Answer:

C

Step-by-step explanation:

On khan

5) Today's temperature is 10 degrees. Yesterday's temperature was -3. What is
the range of the two temperatures? *

Answers

Answer:

13

Step-by-step explanation:

10--3=

So is 13

But not sure

Pleaseeee help! ASAP!

Answers

Answer:

Both slopes are as follows 1. 2 2. 2/5

Both equations are like

1.

16-12= 4

-----------=2

4-2=    2

=====

2.

10-4=  6

------------=2/5

20-5= 15

The Y intercept for both is as follows

1. 8

2. 2

I may be wrong on something but likely not and if I am sorry

Triangle congruence and similarly (picture included) SAS, ASA, SSS, or AAS?

Answers

Answer:

SAS

Step-by-step explanation:

SAS Postulate: "If two sets of corresponding sides on two triangles and there included angle are congruent, then the triangles are similar".

We see that line segments XY-ST and XZ-SR are congruent along with the included angles X and S. Therefore, we can justify that SAS fits the situation.

If this helped you, please consider giving a good rating, a thanks, and brainliest! It is greatly appreciated if you choose to do so! Thanks!

Select the proportion of sides relationships that would prove ABC is congruent by the side angle side similarity theorem

Answers

AB/QR =AC/QS is the answer.

5) A savings account earns 4.5% annual simple interest. The principle is
$1300. What is the balance after 3 years? *

Answers

Answer:

$1483.52

Step-by-step explanation:

P=principle

Fn=total at the end of a given year(=n) (subscript)

I= interest in decimal

F=P(1+I)

at end of first year F1=P(1+I)

at end of second year F=F1(1+I)= P(1+I)(1+I)= P(1+I)^2

or in general Fn=P(1+I)^n

will give brainliest if right​

Answers

SAKHDSKGgsgdyasygudayf

Please help.
Algebra.

Answers

The answer to your answer is b
the answer is B. MULTIPLY the top equation by (-1)

convert 0.3 to a percent

Answers

To find the percentage of a decimal, you just take the decimal and multiply it by 100 then add the percentage symbol.

0.3 . 100= 30

Thus, the answer is : 30%

Find the area and the circumference of a circle with diameter 8 ft.
Use the value 3.14 for it, and do not round your answers. Be sure to include the correct units in your answers.
ft
ft?
ft
8 ft
Area:
Circumference:
X Х
?

Answers

Answer:

Step-by-step explanation:

Circumference

C = 2*pi * r

pi = 3.14

r = d / 2

r = 8/2

r = 4 feet

C = 3.14 * 2 * 4

C = 18.84 feet.

Area

pi = 3.14

r = d/2

r = 8/2

r = 4

Area = 3.14 * 4^2

Area = 3.14 * 16

Area = 50.24 ft^2

Which segment is closest in lenght to √10?

_
AC

_
DE

_
AD

_
AB

Answers

DE is the answer to this problem

simplify 3a x 2b x 2​

Answers

Answer:

[tex]12ab[/tex]

Step-by-step explanation:

3a × 2b = 6ab

6ab × 2 = 12ab

Therefor, the answer is 12ab.

3a × 2b × 2 = 12ab

The expression expects us to find the product . Therefore,

3a × 2b × 2

Let's do it step by step

3a × 2b = 6ab

Then,

6ab × 2 = 12ab

Therefore,

3a × 2b × 2 = 12ab

read more: https://brainly.com/question/17115859?referrer=searchResults

The length of a rectangle is 1 foot more than twice the width. The area is 55 square feet. Find the length of the dimension of the rectangle.

Answers

Answer:

11 ft

Step-by-step explanation:

The formula for the area of a rectangle of length L and width W is

A = L * W.  

Represent the length, L, by 2W + 1 ("1 more than twice the width").  Then the area formula (above) becomes:

A = 55 ft^2 = (2W + 1)(W), which, when simplified, results in:

2W^2 + W - 55 = 0, whose coefficients are {2, 1, -55}.  Let's use the quadratic formula to solve this for W:

The discriminant, b^2 - 4ac, is 1^2 - 4(2)(-55), or 441.  The square root of 441 is 21.  Thus, the quadratic formula gives us:

        -1 ± 21

W = ------------- = (1/4)(-1 + 21), or W = 5 and W = -22/4 = -11/2

            2(2)

A measure of length can't be negative, so we reject W = -11/2 in favor of W = 5.

Then, according to the formula for L that we found earlier, L  = 2W + 1, or

L = 2(5) + 1, or L = 11.

Check:  Does L * W result in an area of 55 ft²?  Yes

The length dimension of the rectangle is 11 ft

M. A rectangular swimming pool is 5.4 m long and
3.5 m wide. It has a
path 0.5 m wide
Path
around it. What is
the area of the path?
Swimming pool



NEED HELPPPPP​

Answers

Answer:

i need help please with my maths

Step-by-step explanation:

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