The velocity of a ball thrown upward into the air is given by v(t)= -32t+96 where t is measured in seconds and velocity v in feet per second calculate the displacement of the ball between t=1 and t=4

Answers

Answer 1

Answer:

The displac ment between t = 1 and t = 4 is 272 feet

Step-by-step explanation:

To get the displacement of the ball, we first need to get the equation for the position of the ball with respect to time.

We can do this by differentiating the velocity equation given:

v(t) = -32t +96

integrating between the limits of t = 1 and t = 4, we have

[tex]s = \int\limits^4_1 {-32t +96} \, dt[/tex]

[tex]s(t) = -32t^2/2 +96t[/tex]

[tex]s =[ -16t^2 +96t] t = 4, t =1[/tex]

where t = 4.

s = 256 + (96) =352 feet

Where t = 1

s = 80

Displacement of the ball = 352 -80 = 272ft

The displac ment between t = 1 and t = 4 is 272 feet


Related Questions

GE = 3x - 11 FD = 2.x Find GE
Can someone help me??​

Answers

Answer:

22

Step-by-step explanation:

Given the following

GE = 3x - 11 FD = 2x

Let us assume GE is parallel to FD, hence GE = FD

3x - 11 = 2x

3x - 2x = 0+11

x = 11

Get GE

GE = 3x - 11

GE = 3(11)-11

GE= 33 - 11

GE = 22

Hence the length of GE is 22

What is the value of x?

Enter your answer in the box.

Answers

Use the Pythagorean theorem:

X = sqrt(10^2 - 6^2)

X = sqrt(100-36)

X = sqrt(64)

X = 8

Answer:

you can try nine but I am not really sure

?????????????? So like anyone know this?

Answers

Not sure sorry I’m not good at math need help with something else..

Give the value of each trigonometric ratio.

cos m
cos n
sin m
sin n
tan m
tan n

Answers

Step-by-step explanation:

Cos m = 35/37 = 0.94

Cos n = 12/37 = 0.32

Sin m = 12/37 = 0.32

Sin n = 35/37 = 0.94

tan m = 12/35 = 0.34

tan n = 35/12 = 2.91

Find the distance between the points given.
(3, 4) and (4,7)
0 212
O 10
03

Answers

the distance between these two points is 3

i need help please !!

Answers

Answer:

Step-by-step explanation:

Number of people 41 - 50 who read DIY books = 69

Total number of people = 750

% reading DIY = (69/750) * 100 = 9.2%

Are 4 7/9 and repeating 4.7 are they equal?

Answers

Answer:

Step-by-step explanation:

These two expressions are definitely not equal.

4 7/9 is a repeating decimal:  4.77777 ...    (use your calculator)

whereqs 4.7 is NOT a repeating decimal.

An olive press produces 6 2/3 gallons of oil in 32 minutes. At this rate, how many gallons of olive oil will be produced in 1 hour?

A. 3.6 gallons
B. 12.5 gallons
C. 8.8 gallons
D. 6.2 gallons

PLEASE HELP ITS A TEST!!!!

Answers

B it’s the only way it could be

Which equation represents a linear function?

Answers

Answer:

C

............................

The dot plot shows the number of pencils each boy has at his desk in class.
:
++
1 2 3 4 5 6
Number of Pencils at Desk
Find the median for the number of pencils.

Answers

Answer:

The median is 2

Step-by-step explanation:

Here, we want to get the median for the number of pencils

Firstly, we have to write out the numbers that form the box plot ; we have this as;

1,1,1,2,2,2,2,3,3,5

the median is sum of the 5th and 6th term divided by 2

The 5th term is 2

The 6th term is 2

So the median is;

(2 + 2)/2

= 4/2 = 2

What is 3 3/4 divided by 5/7?
Pls help me and thank you.

Answers

Answer:

21/4

Step-by-step explanation:

help please!!
simplify the following:
[tex] \displaystyle \lim_{n\to \infty } \frac{1 + 2 + 3 + \dots {\dots} +n }{ {n}^{2} } [/tex]
[tex] \text{ note: must provide explanation}[/tex]

Answers

Answer:

[tex] \dfrac{1}{2} [/tex]

Step-by-step explanation:

we are given a limit

and we want to simplify it

notice that, the numerator is in a sequence of sum of natural number

recall that,

[tex] \rm \displaystyle \: 1 + 2 + 3 + \dots {\dots }+ n = \frac{n(n + 1)}{2} [/tex]

so substitute:

[tex]\displaystyle \lim_{n\to \infty } \frac{ \dfrac{n(n + 1)}{2} }{ {n}^{2} } [/tex]

now recall L'Hôpital's rule

[tex] \displaystyle \lim_{x \to c} \frac{f(x)}{g(x)} = \lim_{x \to c} \frac{f'(x)}{g'(x)} [/tex]

first simplify the complex fraction:

[tex]\displaystyle \lim_{n\to \infty } \frac{n+ 1}{2n} [/tex]

apply L'Hôpital's rule:

[tex]\displaystyle \lim_{ n\to \infty } \frac{ \dfrac{d}{dn} n+ 1}{ \dfrac{d}{dn} 2n} [/tex]

simplify:

[tex] \dfrac{1}{2} [/tex]

and we are done:

Step-by-step explanation:

solution given:

The given expression takes a form[tex] \frac{ \infty }{ \infty } [/tex]

when n=[tex] \infty [/tex]

so,

[tex] \displaystyle \lim_{n\to \infty } \frac{1 + 2 + 3 + \dots {\dots} +n }{ {n}^{2} } [/tex]

[tex] \displaystyle \lim_{n\to \infty }\frac{n(n+1)}{ 2{n}^{2} }[/tex]

[tex] \displaystyle \lim_{n\to \infty }\frac{n+1}{ 2n}[/tex]

[tex] \frac{1}{2} [/tex]

[tex] \displaystyle \lim_{n\to \infty }[1+\frac{1}{ n}][/tex]

=[tex] \frac{1}{2} [/tex](1+[tex] \frac{1}{ \infty }) [/tex]

=[tex] \frac{1}{2} [/tex] is your answer

i need help on thissssssssss

Answers

Answer:

s2Wzwxr tcyvybubububyxrz

identify the center and radius of the circle. Then write the equation of the circle.

Answers

Answer:

Radius = 2

Step-by-step explanation:

x² + y² - 10x + 8y + 37 = 0

Regroup terms

(x² - 10x) + (y² + 8y) = -37

Complete the square

(x² - 10x + 5²) + (y² + 8y + 4²) = -37 + 5² + 4²

(x² - 5)² + (y² + 4)² = 2²

Center (5,-4)

2. Find the volume. *
10 16 8

Answers

Answer:

1280

Step-by-step explanation:

16 times 8(times 10)

9. Lines A and B are parallel lines. Find the measures of angles 1, 2 and 3. ​

Answers

Answer:

<1 = 33

<2 = 90

<3 = 57

Step-by-step explanation:

<3 = 57 because of alternate interior angles

<2 + <3 + 33 = 180

<2 + 57 + 33 = 180

<2 + 90 = 180

<2 = 90

<1 + <2 + 57 = 180

<1 + 90 + 57 = 180

<1 + 147 = 180

<1 = 33

Divide 9 by 2 , then multiple p by the result

Answers

Answer:

9p/2 OR 4.5p

Step-by-step explanation:

9/2 ×p = 9p/2

9/2 =4.5×p

= 4.5p

the answer you are looking for is 4.5p

How many faces, vertices, and edges are in the figure below?

Answers

Answer:

faces = 7, vertices = 7, edges = 12

Step-by-step explanation:

i took the test just now :D (brainlest always acceptable! :D)

The number of faces, vertices, and edges are 8, 18 and 12.

We are given that;

The figure of hexagonal prism

Now,

A hexagonal prism is a 3D shape with

8 faces, 18 edges, and 12 vertices12.

The faces are 2 hexagons and 6 rectangles.

The figure below shows the faces, edges and vertices of a hexagonal prism.

Therefore, by the prism answer will be 8 faces, 18 edges, and 12 vertices12.

Learn more about rectangular prism;

https://brainly.com/question/15843335

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ILL BRAINLIEST YOU IF YOU GET IT RIGHT

Which diagram shows a pair of angle measure that proves lines c and d are parallel?

Answers

Answer:

C

Step-by-step explanation:

At first glance, it seems like all the answers work. But some careful thinking allows us to find the correct answer.

For this question, we will be using the process of elimination.

First, we can eliminate D, because it does not provide any angles on line d, so we cannot prove that line c is parallel to line d.

Second, we can eliminate A. It seems that the 2 angles makes it so that lines c and d must be parallel, however, that is only true if lines a and b are parallel. Since we don't know whether or not lines a and b are parallel, we cannot prove that lines c and d are parallel, so we can eliminate this choice.

Third, we can eliminate B. Like the diagram in A, this diagram can only prove lines c and d are parallel if lines a and b are parallel, and since we don't know whether or not lines a and b are parallel, we cannot prove tat lines c and d are parallel, so we can eliminate this choice.

We are left with C, so the answer must be C.

Of course, just to make sure, we will also check diagram C. Because the 2 angles provided in the diagram are on line a and none are on line b, we do not need line a to be related to line b in any way, as such we can pretend that line b does not exist in this diagram. We can then see that lines c and d must be parallel for this diagram, or else the angles would not work, so C is correct.

Two angles whose sum is 180° are called supplementary angles. The correct option is C.

What are supplementary angles?

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

When two parallel lines are cut by a transverse. The angles formed on the exterior of the parallel lines are known as the Exterior Angle.

Now, For two lines two be parallel in the given diagram the measure of the angle the exterior angle on the same side of the transverse should be supplementary to each other.

The diagram shows a pair of angle measure that proves lines c and d are parallel in option c. This is because lines c and d are parallel and a is transversal to the two lines. And the measure of the exterior angles formed on the same side of the transversal is supplementary.

Hence, the correct option is C.

Learn more about Supplementary angle here:

https://brainly.com/question/2882938

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A small box can hold 4 cans and a long box can hold 12 similar cans. How many cans will 15 large boxes hold than the same number of boxes.

Answers

Maybe 240 I just multiplied 15 and 16 because 12 times 4 is 16

Find the absolute extrema of the given function: f(x)=x^4 − 3x^2 + 4, on the interval [−1,1]

Answers

Answer:

The absolute maximum is 4, and the absolute minimum is 2.

Step-by-step explanation:

We are given the function:

[tex]f(x)=x^4-3x^2+4[/tex]

And we want to find the absolute extrema of the function on the interval [-1, 1].

So, we will find the smallest and largest y-value within the interval. First, we can evaluate the function at its endpoints. So:

[tex]f(-1)=(-1)^4-3(-1)^2+4=2[/tex]

And:

[tex]f(1)=(1)^4-3(1)^2+4=2[/tex]

Our endpoints are (-1, 2) and (1, 2).

Recall that extrema only occurs at critical points. Critical points are where the derivative of the function equals 0. So, we can find the derivative of the function:

[tex]\displaystyle f'(x)=\frac{d}{dx}\left[x^4-3x^2+4\right][/tex]

Differentiate:

[tex]f'(x)=4x^3-6x[/tex]

Set the function equal to 0:

[tex]0=4x^3-6x[/tex]

Solve for x. Factor:

[tex]2x(2x^2-3)=0[/tex]

Zero Product Property:

[tex]2x=0\text{ or } 2x^2-3=0[/tex]

Solve for each case. Therefore:

[tex]\displaystyle x=0\text{ or } x=\pm\frac{\sqrt6}{2}[/tex]

The second case is outside of our interval. So we can ignore it.

Evaluate the function at x = 0:

[tex]f(0)=(0)^4-3(0)^2+4=4[/tex]

Therefore, for our function on the interval [-1, 1], the absolute maximum is 4, and the absolute minimum is 2.

i need help with this

Answers

Since 12 is hypotenuse, formula we would use is:
12^2=5^2+x^2
144=25+x^2
x^2= 144-25
x^2=119
x= √119
x=10.9087
Rounded to nearest tenth,
x=10.9
Good luck.

What is the average of 88 and 72

Answers

Answer:

80

Step-by-step explanation:

(●'◡'●)

A soccer dome shaped like a hemisphere has a volume of 450,000 m^3. What is the area of its field? Use 3.14 for pi

Answers

Answer:

Step-by-step explanation:

450,000=2/3(3.14)r

450,000 times 3/2=2/3(3.14)r times 3/2

675,000=3.14r

675,000/3.14=3.14r/3.14

about 214968.15287=r

So now we know r. We can use it to find the area of the circle

Pi times r squared

3.14 times 214968.15287 squared

area equals about 15573.44815

The area of the hemisphere is 45065.41

How to determine the area?

The given parameters are:

Shape = Hemisphere

Volume = 450000

The volume is calculated as:

Volume = 2/3pi r^3

This gives

450,000=2/3 * 3.14 * r^3

Solve for r^3

r^3 = 450000 * 3/(2 * 3.14)

This gives

r^3 = 214968.152

Take the cube roots

r = 59.9

The area is then calculated as;

Area = 4pi r^2

This gives

Area = 4 * 3.14 * 59.9^2

Evaluate

Area = 45065.41

Hence, the area of the hemisphere is 45065.41

Read more about areas at:

https://brainly.com/question/24487155

Will put brainliest? Plsssssssss help!

Answers

Answer:

C i think

Step-by-step explanation:

Answer:

14,13 ft^2

Step-by-step explanation:

First of all we have to find the radius, that is diameter/2

In this case: 6/2 = 3ft

the area of a circle is:

radius^2 x π

in this case = 3^2 x 3,14 = 28,26 ft^2

The shape is a semicircle so we have to divided the area by two

28,26 : 2 = 14,13 ft^2

HELP PLEASE 1O POINTS

Answers

Answer: 35

Step-by-step explanation:

The following are the last 10 run scores Colin got in cricket: 21, 14, 23, 23, 20, 8, 23, 34, 10, 22 a) Work out Colin's mean score. b) Colin plays cricket again on Sunday. He gets 22 runs. What is his new mean score? Give your answers as decimals. Please answer ASAP.

Answers

Answer:

19.8,41.8

Step-by-step explanation:

wish you all the best hope you understand.

Find the exact value of x.
Do the side lengths form a Pythagorean Triple?

Answers

Answer:

x=34

no

Step-by-step explanation:

a=16 b=30 c= x

16^2+30^2= c^2

256+900= c

c=√1156

√1156=34

Explain why a 75% discount followed by an additional 25% discount is not the
same as a 100% discount.

Answers

Answer:

Because you first take 75% off of the first price then 25% off the discounted price

Example:

Lets say you have a item that cost $50 and you use a 75% discount card that will make the item $37.5. The you add an additional 25% off which will equal $9.38.

If each quadrilateral below is a square,find the missing measures

Answers

Answer:

SU = 15sqrt2

TV = 15sqrt2

SW =(15sqrt2)/2

Step-by-step explanation:

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