A classic physics problem states that if a projectile is shot vertically up into the air with an initial velocity of 151 feet per second from an initial height of 95 feet off the ground, then the height of the projectile, h, in feet, t seconds after it's shot is given by the equation:
h = - 16t² + 151t +95

A Classic Physics Problem States That If A Projectile Is Shot Vertically Up Into The Air With An Initial

Answers

Answer 1

Answer:

Step-by-step explanation:

144 = -16t² + 151t + 95

  0 = -16t² + 151t - 49

quadratic formula

t = (-151 ±√(151² - 4(-16)(-49))) / (2(-16))

t = (-151 ± 140.23195) / -32

t = 0.34 s

t = 9.10 s


Related Questions

Graph the line with -intercept -5 and slope 1/3 .

Answers

Answer:

(assuming the y-intercept is -5) Check the graph below the explanation.

Step-by-step explanation:

1. The y-intercept of -5 means that the line intersects with the y-axis at (0,-5).

2. The slope 1/3 means that for every point, you rise up by 1 and run 3.

use desmos for graph. the equation is:

y=1/3x-5

An elevator can carry 27 adults or 30 children at one time. During the course of a​ day, the elevator carries a full passenger load 45 times. If all the passengers were​ children, how many more people would the elevator carry than if all the passengers were​ adults?

Answers

Answer:

135 would be the correct answer

Step-by-step explanation:

30x45=1,350

27x45=1,215

1,350-1,215= 135

Which ordered pairs is a solution to −5x + 3y > 12?
(3, 9)


(-5, 5)


(3, -6)


(-2, -5)


(2, 8)


(-6, 0)

Answers

Answer :-

Given inequality ,

-5x +3y > 12 3y > 5x + 12 y > 5/3x + 12/3y > 5/3x + 4

From the options ,

When x is 3 and y = 9

y >1* 5 + 4y > 5 +4 9> 9 ( Not possible )

When x is -5 y is 5

y > 5/3*-5 + 4y > -8.3 + 4 5 > -3.7 ( Possible )

When x is 3 y is -6

y > 5 + 4 -6 > 9 ( Not possible )

When x is -2 y is -5

y > -3.33 + 4 -5 > -0.67 ( Possible )

When x is 2 y is 8

y > 3.33 + 4 8 > 7.77 ( possible )

When x is -6 y is 0

y > -10 +4 0 > -6 ( possible )
Given the inequality statement, -5x + 3y > 12

We’ll substitute the given points to determine which is a solution that satisfies the inequality:

(3, 9):
-5(3) + 3(9) > 12
-15 + 27 > 12
12 > 12 (False statement, as 12 ≯ 12)


(-5, 5):

-5x + 3y > 12

-5(-5) + 3(5) > 12

25 + 15 > 12

40 > 12 (True statement). Thus, it is a solution.


(3, -6)
-5(3) + 3(-6) > 12
-15 - 18 > 12
-33 > 12 (False statement. -33 ≯ 12).


(-2, -5)
-5(-2) + 3(-5) > 12
10 - 15 > 12
-5 > 12 (False statement. -5 ≯ 12).

Therefore, the only solution is (-5, 5).

Please mark my answer as the Brainliest, if you find my explanations/solution helpful :)

Look at image attached

How do you do the inverse of this function?

Answers

9514 1404 393

Answer:

  f^-1(x) = <see attachment>

Step-by-step explanation:

If we write the function as ...

  f(x) = ∛x +101/128x

Then the inverse function is the value of y when ...

  x = f(y)

This resolves to a cubic in y, whose solution can be found by use of any of the various cubic solution formulas. You can find the cubic by ...

  x = ∛y +by . . . . . . where b = 101/128

  x -by = ∛y . . . . . . . subtract by

  (x -by)³= y . . . . . . cube both sides

If we subtract the left side and expand the cube, we get ...

  b³y³ -3b²xy² +(1 +3bx²)y -x³ = 0 . . . . . . . a cubic in y

There will be one real and two complex solutions to this cubic. The real solution can be written in the form shown in the attachment. That is, ...

  y = f⁻¹(x) = [attachment expression]

A graph of it is shown in the second attachment. It is the reflection of f(x) across the line y = x, as an inverse function should be.

_____

Additional comment

The idea here is to show that it is possible to write an expression for the inverse function. It is not pretty, and it is somewhat tedious to evaluate.

You flip a coin 10 times and you get 10 heads. Based on these 10 outcomes what is
the empirical probability of getting a head?

Answers

The empirical probability is the ratio of the number of times an event occurred to the total number of trials. Hence, the empirical probability is 1.

The empirical probability is defined thus :

Number of times event occurred / total number of outcomes

Hence, the empirical probability of head in the experiment :

Number of heads / total number of tosses

P(Head) = 10/10 = 1

Therefore, the empirical probability of getting a head is 1.

Learn more : https://brainly.com/question/18405415

Eight kids got to go to the water park for
$76. How many students could go for
$171?

Answers

18 students can go for 171. I think

Janye uses long division to convert a rational number a/b to a decimal which following statements cannot be true

Answers

Answer:

5

Step-by-step explanation:

5

Find the LCD for the list of rational expressions.
2
7x +4
x2 + 5x - 14' x2 + 3x – 28

Answers

the equation is made and the included values are indicated.

A certain town is clustered around the town's largest employer, a paper mill. A researcher notices a large number of children with asthma and suspects the proportion of children with asthma in this town may be larger than the nationwide proportion of 7%.
(a) (2 pts) Write the null and alternative hypotheses.
(b) (3 pts) Suppose the researcher committed a Type I error. What did the researcher conclude and what was the reality regarding children with asthma?
(c) (3 pts) Suppose the researcher committed a Type II error instead. What did the researcher conclude and what was the reality regarding children with asthma?

Answers

Using statistical concepts, it is found that:

a)

The null hypothesis is: [tex]H_0: p \leq 0.07[/tex]

The alternative hypothesis is: [tex]H_0: p > 0.07[/tex]

b)

The type I error means that the researcher concluded that the proportion in this town was above 7%, while in reality it wasn't.

c)

The type II error means that the researcher concluded that the proportion in this town was not above 7%, while in reality it was.

Item a:

At the null hypothesis, we test if the proportion is the nationwide proportion of 7% of less, thus:

[tex]H_0: p \leq 0.07[/tex]

At the alternative hypothesis, we test if the proportion is larger than the nationwide proportion, that is:

[tex]H_1: p > 0.07[/tex]

Item b:

A Type I error happens when a true null hypothesis is rejected.

Thus, the type I error means that the researcher concluded that the proportion in this town was above 7%, while in reality it wasn't.

Item c:

A Type II error happens when a false null hypothesis is not-rejected.

Thus, the type II error means that the researcher concluded that the proportion in this town was not above 7%, while in reality it was.

A similar problem is given at https://brainly.com/question/24296958

Hello there

I'm looking for some help here thanks. giving brainliest if able to.

If 2 out of 5 people prefer Columbia brand coats to REI brand coats, in a group of 45 friends how many prefer Columbia brand coats?

Answers

Answer:

16

Step-by-step explanation:

2/5 want to go

45 / 5 = 8

8 * 2 = 16

16 people prefer Colubmia

(I answered another one of your questions with the same concept, so this is very similar to that!)

According to a survey, 59% of parents say their teens are addicted to using their cell phones. Write this percent as a ratio and do not simplify.

Answers

Answer:

1/10

Step-by-step explanation:

Several members of a running club would like to survey the rest of the members to determine which 5K races the
club should enter. They decide to sample 10 of the 78 members and have them fill out a survey about the races.
Which of the following procedures would produce a simple random sample?
O Give each member a unique number from 01 to 78. Use a random number table and select the first 10 numbers
between 01 and 78. Survey these members about their race preference
O Give each member a unique number from 01 to 78. Use a random number table and select the first 10 two-digit
numbers between 01 and 78. Survey these members about their race preference
Give each member a unique number from 01 to 78. Use a random number table and select 10 unique two-digit
numbers between 01 and 78. Survey these members about their race preference
O Give each member a random number from 01 to 78. Use a random number table and select 10 unique two-digit
numbers between 01 and 78. Survey thesdlumembers about their race preference.

Answers

Answer:

C). Give each member a unique number from 01 to 78. Use a random number table and select 10 unique two-digit numbers between 01 and 78. Survey these members about their race preference.

Step-by-step explanation:

A box of chocolates contains 18 chocolate squares. Ten of the squares are milk chocolate, 5 are dark chocolate, and 3 are white chocolat If Christina randomly chooses a chocolate out of the box, what is the probability of her choosing a white chocolate square?

Answers

Answer:

[tex]\frac{3}{18}[/tex]

Step-by-step explanation:

[tex]\frac{18-10-5}{18} \\\\=\frac{3}{18} \\[/tex]

Thw probability is [tex]\frac{3}{18}[/tex].

The value of the 8 in 28,973 is _____ times the value of the digit 8 in 98.

Answers

Is 3 times the value

I know this because the number 8 is moved to the left 3 times

6. Write in standard form (5.4 x104) =(2x103)

Answers

Answer:

[tex](5.4 \times {10}^{4} ) \div (2 \times {10}^{3} ) \\ \\ \\ \frac{5.4 \times {10}^{4} }{2 \times {10}^{3} } = \frac{54 \times {10}^{4} }{20 \times {10}^{3} } \\ \\ \\ = 2.7 \times {10}^{1} \\ = 27[/tex]

I hope I helped you^_^

-5 2/3+3 1/4+-7 1/3????????

Answers

Answer:

-9.75

Step-by-step explanation:

Exact Form:
59/12
Decimal Form:
4.916

Mixed Number Form:
4 11/12

Find the slope of the line that passes through two given points.

1. (-2, -1) and (-4, -7)
2. (-5, 7) and 3, -1)
3. (-3, 4) and (-3, -8)
4. (10, 9) and (-8, 9)

PLS SHOW WORK I'M GIVING YOU 85 POINTS!!!

Answers

In above graf You will get your answer

line which I have made with pencile that mean they are on one line,

What is 2803 x 406?

Answers

Answer:

1138018

Step-by-step explanation:

HELPPP ASAP!!!!!!!!!!

Answers

Answer:

In the before the ice the particles would be disorganized while in the after ice drawing the particles should be drawn closer and a bit more organized.

The first section (before ice) shows more thermal energy.

a line passes through the point (8,-3)and has a slope of 3/4

Answers

Answer:

[tex]y=\frac{3}{4}x-9[/tex]

Step-by-step explanation:

We are using the general equation of a straight line, which is

y=mx+b, where y&x are the coordinates, m is the slope and b is the y intercept. We are trying to solve for b, so we can plug in these values that we know into the formula in order to find b:

[tex]-3=\frac{3}{4}(8)+b\\-3=6+b\\-3-6=b\\b=-9\\\\y=\frac{3}{4}x-9[/tex]

Write the equation of the line with a slope of -3/4 and a y-intercept of 8 in slope-intercept form.

Answers

Hello there!

y=mx+b

m is the slope

b is the y-intercept

y=-3/4x+8

Hope this helps you!

~Just a joyful teen

[tex]GraceRosalia :)[/tex]

need help on algebra ii question

Answers

Answer:

≈ 6 seconds

Step-by-step explanation:

When it says about hitting the ground, it means it hits the t-axis.

That means we have to solve for t-intercepts to find the solution.

Finding t-intercept, let y = 0.

[tex] \displaystyle \large{0 = - 16 {t}^{2} + 96t + 3}[/tex]

Use the Quadratic Formula.

[tex] \displaystyle \large{t = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]

Substitute in a = -16, b = 96 and c = 3.

[tex] \displaystyle \large{t = \frac{ - 96 \pm \sqrt{ {96}^{2} - 4( - 16)(3)} }{2( - 16)} } \\ \displaystyle \large{t = \frac{ - 96 \pm \sqrt{ 9216 + 192} }{ - 32} } \\ \displaystyle \large{t = \frac{ - 96 \pm \sqrt{ 9408} }{ - 32} } \\ \displaystyle \large{t = \frac{ - 96 \pm 56 \sqrt{3} }{ - 32} } \\ [/tex]

Then simplify to simplest form.

[tex] \displaystyle \large{t = \frac{ - 96 \pm 56 \sqrt{3} }{ - 32} } \\ \displaystyle \large{t = \frac{ 12\pm 7\sqrt{3} }{ 4} } \\ [/tex]

Then use the highest value/root which is 12+7√3 over 4 then input it in a calculator and you will see that the highest root is close to 6.

We use the highest root because thats when y or height = 0 hence if height = 0 then the object finally hits the ground.

The number of chairs on a pool deck is it inappropriate or inappropriate partial quantity

Answers

Answer: approprate

Step-by-step explanation:

A box is 20 cm long. Which of these is closest to the length of this box in feet?

Answers

Answer: 0.66 Feet

Step-by-step explanation: There are 2.54 centimeters in an inch and there are 12 inches in a foot.

Please mark me as brainliest!

5. What is the coefficient of the variable n?

Answers

Often represents some unknown quantity or number, probably because n is the first letter in number. x is often the variable you solve for, maybe because it's a letter of mystery.

Two machines are available to perform a task, each can be either in operational or nonoperational condition. Every day one of the operational machines will be used and there is a 10% chance that it will break. Assume that if a machine breaks during the day, the task fails and is not resumed until the next day. If there is a nonoperational machine at the beginning of the day there is a 60% probability that it will be repaired by the end of the day. Only one machine can be repaired in one day.

Requried:
Model this system as a Markov chain: clearly describe the states and give the transition matrix.

Answers

Answer:

Step-by-step explanation:

abcdefghijklmnopqurtuvwx hahahe y and z

There are two bags of apples. The first bag has 3 red apples and 4 green apples. The second bag has 13 red apples and 15 green
apples. Mary wants one apple of each color. She will randomly choose two apples from a bag.
Which bag should Mary choose the apples from to have a better probability of picking an apple of each color?
Drag and drop the word and percents into the boxes to correctly complete the sentence.
bag, because the probability of randomly selecting a both a red and a green apple from the
Mary should choose the
and the second bag is about
first bag is about

Answers

Answer:

e, event of getting a green apple

p(e) = no. of green apples/total no. of apples

= 4/(4+3)=4/7

4/7 is probability of getting a green Apple

Step-by-step explanation:

hope this helps

Please help!

Unit Rates
Kiley and her parents traveled to visit her grandmother. They drove 24.3 miles from their house to the airport in hour. At the airport, they exited the car and walked for hour to the waiting area by the gate to board their plane. Their walk covered 1.2 miles. From the waiting area, they walked another 0.1 mile to board the plane. The plane left the gate 45 minutes after they arrived at the waiting area. The plane flew 346 miles in hours. After the plane landed, Kiley and her parents walked for 30 minutes, covering 1.1 miles, before they found a cab. It was a 15-minute cab ride to get to Kiley’s grandmother’s house, which was 12.3 miles away.

Answer the following questions about Kiley’s trip. All questions are written in terms of an average rate. Assume that an average rate includes the time that Kiley is at rest (that is, not moving).

In this task, you will write the ratio of miles to hours for each leg of Kiley’s trip. You will then, express the ratio as a decimal number. Next, you will find the unit rate in miles per hour (mph) for each leg of the trip. If your unit rate includes a repeating decimal number, you must indicate which digits repeat (for example, write when the 3 repeats.) A description of each leg is listed below in parts A through F.

Part A
the car ride from Kiley’s house to the airport

Part B
at the airport, the walk from the car to the waiting area by the gate

Part C
the leg from the waiting area to the airplane’s takeoff

Part D
the airplane ride

Part E
the walk from the airport to the cab

Part F
the cab ride

Answers

Answer:Did you ever get a answer?? I need them badly! And if i dint turn this in my whole life is ruined!! Im sorry that i don’t have answers for you

Step-by-step explanation:

Answer:

part a is 24.3 miles part b is 24 miles part c is 1.3 miles part d is 50 miles part e is 0.65 miles part f is 5 miles

Step-by-step explanation:

HOPE THIS HELPS!

Rewrite the formula to solve for the positive value of r in terms of h and v
*click photo to see question*

Answers

Answer

[tex] | \sqrt \frac{3v}{\pi \: h} | = r[/tex]

The given formula for the volume of cone can be written as [tex]\sqrt{\frac{2V}{\pi h} }[/tex] in terms of V and h for r.

What is transposing a term in an expression or transpose method?

To bring a term from one side of an equation to the other, with corresponding change in sign or by doing opposite operations is called transposing a term in an expression.

According to the given question.

We have a formula for the volume of cone

[tex]V = \frac{1}{2} \pi r^{2} h[/tex]

To solve the the above formula for r we use transpose method.

Therefore,

[tex]V = \frac{1}{2} \pi r^{2} h[/tex]

⇒ [tex]2V = \pi r^{2}h[/tex]           (multiplying by 2 both the sides)

⇒ [tex]\frac{2V}{\pi h} =r^{2}[/tex]                (dividing both the sides by πh)

⇒ [tex]r=\sqrt{\frac{2V}{\pi h} }[/tex]

Hence, the given formula for the volume of cone can be written as [tex]\sqrt{\frac{2V}{\pi h} }[/tex] in terms of V and h for r.

Find out more information about transpose method here:

https://brainly.com/question/2263930

#SPJ3


A car travels at an average speed of 48 miles per hour. How long does it take to travel 180 miles?

Answers

Answer:

3 hours and 45 minutes

Step-by-step explanation:

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