A circus acrobat is shot out of a cannon with an initial upward speed of 50 . The equation for the acrobat's pathway can be modeled by the equation h = - 16t ^ 2 + 50t + 4 .
a.Find the maximum height of the acrobat.

b.How long will it take to reach the ground?

Answers

Answer 1

Answer:

Step-by-step explanation:

h = - 16t ^ 2 + 50t + 4

maximum height  take the first derivative of h (calculus if you are taking it)

h' = -32t + 50          set this equal to zero

0 = -32t +50

t = 50/32

t = 1.5625      now plug t = 1.5625  into the height equation

h = - 16(1.5625) ^ 2 + 50(1.5623) + 4

h = 43.0625 ft

you can also find the maximum height by graphing the function and locating the peak value  (much easier)

how long to reach the ground  h = zero

0 = - 16(t) ^ 2 + 50(t) + 4

use the quadratic equation to solve this or graph the function h(t) and find the roots (much easier) and you will find that

t = -0.078 and 3.203 seconds

    obviously the negative root makes no sense unless he time travelled so

t = 3.203 seconds


Related Questions

Need help ASAP plz !!!!!

Answers

Answer:

yep that is correct!

Step-by-step explanation:

Theorem of Pythagoras

hopefully the picture is clear and understandable!

:)

Determine the volume!

Answers

Answer:
I can’t see the picture

Explanation:
What do you need help with?

If you sleep 6 hrs out of 24 hrs how much percent do you sleep?

Answers

Answer:

25%

Step-by-step explanation:

I hope this helps you!!

Answer:

You sleep 25% of the day.

Step-by-step explanation:

First you change the equation into a fraction:

6 hrs out of 24 hrs = 6/24

Then you can simplify this fraction:

6/24 = 1/4

Lastly, convert the fraction to a percent:

1/4 = 25%

Brainliest would be greatly appreciated!!!!

can someone plz help

Answers

When I put the right answer it says wrong

Use the completing the square method to transform the equation x^2 + 2x =13 into an equation of the form (x + a)^2 = b where a and b are real numbers. What are the values of a and b?

Answers

Answer: part A is 1 and part B is 14

Step-by-step explanation:

Given a circle with a circumference of 30pi inches, solve for the exact area of a sector in terms of pi, whose central angle is one-fifth of the measure of the
circle.

Answers

30 pi inches divided by the one fifth angle is gonna be 6

Find the area of rectangle ABCD

Answers

Answer: 12

Step-by-step explanation:

You can find the area of a rectangle that forms around it, and then subtract the little extra triangles. You can form a 5 by 5 square around the points. There are 4 extra little triangles. Two of them have a base and height of 2 and 2. Two of them have a base and height of 3 and 3. So you get the total area of those 4 triangles to be: 2+2+4.5+4.5=13. So 25-13=12.

Please help!!
find the value of the trig ratio.

Answers

Background:

So with sine cosine and tangent, try remembering the following:

Sin : Opposite / Hypotenuse

Cos: Adjacent / Hypotenuse

Tan: Opposite / Adjacent

Or just remember "Soh-cah-toa".

Thinking Process:

Anyways, with this, its asking for the sine ratio of angle Z. So we need the opposite side length and the hypotenuse side length

For the opposite side length, look to see where the angle is "opening" up towards, like a door that is opening. With this, Angle Z is opening up towards the Side XY, which has a length of 21.

To find the hypotenuse, it is always the largest side length of a right triangle. It is also where the right angle opens up it's "door" up to. This would be Side XZ, which has a length of 29.

Answer:

With both of these, back to the ratio formula:

Sin : Opposite / Hypotenuse

To finish the question, simply plug in the values that were found above.

This will give you:

Sin Z : 21 / 29

This will be Choice A.

Helpp me please!!
I need it knowwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww

Answers

Answer:

8yd×10yd=80yd

80yd÷2=40yd²

Step-by-step explanation:

Hope it helps :)

Find lim f(x) as x->2- and lim f(x) as x->2+

Answers

Answer:

2x the correct answer okay

Some one help will give brain

Answers

Answer:

what the link? didfbdsfaahsdfhsd

Step-by-step explanation:

Similar Triangles

When are triangles considered similar?

a. corresponding angles are equal AND corresponding sides are proportional
b. corresponding angles are proportional AND corresponding sides are equal
c. corresponding angles are equal OR corresponding sides are proportional
d. corresponding angles are proportional OR corresponding sides are equal

Please select the best answer from the choices provided

Answers

Answer:

A. Corresponding angles are equal AND corresponding sides are proportional

Step-by-step explanation:

I calculated it logically

Answer:

A. Corresponding angles are equal AND corresponding sides are proportional

len
2. Demetri wakes up at 9:15. It takes him
35 minutes to fold 4 loads of laundry,
35 minutes to bathe the dog, 45 minutes
to bake brownies, and 1 hour to mow the
lawn. After he finishes all of his chores,
he sits down to rest. What time does
Demetri rest?

Answers

Answer:

I think the answer is 11.20 am

Solve the quadratic equation by using either a numeric or a graphic approach.
x2 - 12x – 144 = 0
a. x= -12.4 or x = -7.4
c. x = 9.4 or x = -7.5
b. x = 19.4 or x = -7.4
d. x = 9.4 or x = -3.4

Answers

Answer:

B

Step-by-step explanation:

Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used. Find the endpoints of the t-distribution with 5% beyond them in each tail if the samples have sizes ni = 8 %3D and 11 n2 Enter the exact number for the degrees of freedom and round your answer for the endpoints to two decimal places. degrees of freedom = endpoints

Answers

Answer:

i think it 36 sorry if it wrong tho have a nice day

Step-by-step explanation:

HELP PLEASE SOMEONE:(

Answers

Answer:

C. 5°F

Step-by-step explanation:

- 5°F + 5°F

0°F

The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. Step 2 of 2 : Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level. Using the data, construct the 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to three decimal places.

Answers

Answer:

The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level.

So 292 - 240 = 52 read below or at eight grade level, and that [tex]n = 292, \pi = \frac{52}{292} = 0.178[/tex]

80% confidence level

So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 - 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.149[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.207[/tex]

The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).

Plz help me well mark brainliest if correct!....

Answers

Answer:

C

Step-by-step explanation:

B can immediately be eliminated because it has an area of 14.

A and C have an area of 10.

So add the sides.

C:

4 + 4 + 1 + 1 + 2 + 2 + 1 + 3

= 18

A: 3 + 3 + 2 + 2 + 1 + 1 + 1 + 1 =

10 + 4 =

14

ANSWER ASAP! WILL MARK BRAINLIEST!

Select all the correct answers.
Which two tables represent the same function?
х|у
4|8
6|7

х|у
4|5
6|4

х|у
2|8
8|5

x|y
2|10
6|14

x|y
2|9
8|6

Answers

Answer:

The first and last set

y = (-1/2) + 10

Step-by-step explanation:

Two points form a line

The first and last set have a slope of -1/2

and b intercept of 10

х|у

4|8

6|7

y = (-1/2) + 10

and

x|y

2|9

8|6

y = (-1/2) + 10

The requried, tables that represent the same function are tables 1 and 3.

What is function?

In mathematics, a function is a relationship between two sets of numbers, known as the domain and range, in which each element in the domain is associated with exactly one element in the range.

Here,
The tables that represent the same function are:

x|y

4|8

6|7

x|y

2|8

8|5

For two tables to represent the same function, they must have the same output for the same input. In the first table, input 4 gives output 8 and input 6 gives output 7. In the second table, input 2 gives output 8 and input 8 gives output 5. Therefore, these two tables represent the same function.

The other tables do not represent the same function, as they have different outputs for the same input values.

Learn more about function here:

brainly.com/question/21145944

#SPJ7

The slope of the line below is -0.75. Write the equation of the line in point-
slope form, using the coordinates of the labeled point. Do not use parenthesis
on the y side.
(2, -1)

Answers

The answer is: y + 1= -0.75(x - 2)

I hope it helps you and good luck in the quiz :)

What is the value of the expression below when x =6 and y =2? Xy-y^3

Answers

answer:
4

step-by-step explanation:
x = 6
y = 2
xy - y^3
substituting
6(2) - 2^3
12 - 8
4

line segment AB is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verify that Point X, with a coordinate of (6,6), divides line segment AB in a 1:2 ratio?

Answers

Answer: Section formula

Step-by-step explanation:

Given

The line segment AB with endpoints [tex]A(2,2)[/tex] and [tex]B(14,14)[/tex] is divided by a point X in the ratio 1:2

To verify that X divides the line segment in the ratio 1:2, we will use section formula. Section formula tells the coordinates of the point which divide the line segment in the certain ratio or vice-versa.

We will assume that X divides AB in k:1 and insert the values in the section formula. If the ratio k:1 comes out to be 1:2, then it verifies the claim.

Tessellations

Find the coordinates of quadrilateral PQRS with vertices P(1, 4), Q(-1,4), R(-2, -4) and
S(2, -4) under the translation (x,y) ⇒ (x-5,y+3)

a. P' (-4, 7), Q' (-6, 7), R' (-7, -1) and S' (-3, -1)
b. P' (6, 7), Q' (4, 7), R' (3, -1) and S' (7, -1)
c. P' (-4, 1), Q' (-6, 1), R' (-7, -7) and S' (-3, -7)
d. P' (6, 1), Q' (4, 1), R' (3, -7) and S' (7, -7)

Please select the best answer from the choices provided

Answers

Answer:

A. P' (-4, 7), Q' (-6,7), R' (-7, -1) and S' (-3, -1)

Step-by-step explanation:

I calculated it logically

Which graph represents exponential decay?
80
80
80
180
80
60
60
40
60
40
20
90
40
20
20
20
2.
2
3
3
2 3
e

Answers

Answer:

d

Step-by-step explanation:

If bob has 10 apples and joe takes 2 how many apples does bob have ?

Answers

10-2=8

So,Bob has 8 apples left

Answer:

8 apples

Step-by-step explanation:

10-2=8 apples

How many apples does Bob have ? Bob is left with 8 apples now.

What is the measure of arc BC?

Answers

9514 1404 393

Answer:

  100°

Step-by-step explanation:

Arc BC is twice the measure of inscribed angle BEC, so is ...

  arc BC = 2×50°

  arc BC = 100°

Answer:

Step-by-step explanation:

The inscibed angle E is 1/2 the measure of the central angle P so P is 100 degrees, and arc BC is also 100 degrees.

What is the relationship between how Jews were portrayed to the public and their persecution during the holocaust?

Hint: Find how they were portrayed to the public by Hitler and then follow that up with How were they persecuted during the Holocaust?

Answers

Answer:

Step-by-step explanation:

This is actually in the wrong place. It should probably be in English or History, but I'll answer it anyway.

You need to start by seeing the way they were portrayed in cartoons, in writing (mainly newspapers), on the radio, in speeches and on the streets. Start with the Bible. The Old Testament was about the law mostly and behavior as much as anything. The people who lived and were governed by the OT generally were very pious unless they were rebellious sinners.

The New Testament is a slightly different matter. In most of Europe the peasantry thought the Jews were Christ Killers. That thought was dominent throughout the Middle Ages.  It isn't true. Jesus was a Jew, so were the disciples, so were the huge crowds that followed Him to at least hear what he had to say.

It was only the ruling classes (The Pharisees, the Sadducees, and the scribes and teachers), that were not fond of Jesus. But that fact was not emphasized. Out of that picture and the displacement of the Jews after the Temple was destroyed, grew the caricatures of what the Jews were.

Anti Semitism was quite common in Europe. Most people fell for the propaganda that said the Jews were the spawn of the Devil. It became easy to kill those that were felt to be evil.

I urge you to start your own study of what happened. Start with the Inquisition.

Can somebody please help me out please my grads are bad

Answers

Triangle A-Right
Triangle B-Right
Triangle C-Obtuse
Triangle D-Acute

Suppose you roll a 6-sided number cube twice, and each time you
rolled a 4. a) Is the rolling of the number cube twice independent or
dependent events? b) What is the probability of rolling two fours? c)
Explain the difference between independent and dependent events.

Answers

a) independent
b) 1/36
c) an independent event can include repeating an action like rolling a dice. A dependant event is the outcome of the first event and how it affects the second.

don’t mind the pencil writing

Answers

Answer:

Length = 22 cm

Width = 4 cm

Step-by-step explanation:

Area = 88 cm²

Length = x + 7

Width = x - 11

Area of rectangle = length*width

Therefore:

(x + 7)(x - 11) = 88

x(x - 11) +7(x - 11) = 88

x² - 11x + 7x - 77 = 88

Add like terms

x² - 4x - 77 = 88

x² - 4x - 77 - 88 = 88 - 88

x² - 4x - 165 = 0

Factorize

x² - 15x + 11x - 165 = 0

x(x - 15) +11(x - 15) = 0

(x + 11)(x - 15) = 0

x = -11 or x = 15

Let's use the positive number.

Therefore:

Length = x + 7

Plug in the value of x

Length = 15 + 7 = 22 cm

Width = x - 11 = 15 - 11 = 4 cm

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