josh is standing on the top of a building that is 425 feet tall. He throws a penny up into the air with an initial of 32 ft/sec. How long does it take for the penny to hit the ground?
Y = -4.9x^2 + 32x + 425

A. 10 seconds

B. 6.25

C. 400

D. 0 seconds

Answers

Answer 1

Answer:

A

Step-by-step explanation:

cause it will be more faster just because it is in a solid phase or it is solid

Answer 2

The time taken to hit the ground is 6.25 sec.(Option B)

How to calculate time?

It is given that penny follows the trajectory:

[tex]y = -4.9x^2 + 32x + 425[/tex]

Differentiating it we get:

[tex]\dfrac{dy}{dx} =-9.8x+32[/tex]

At y=425, it is obvious that x=0

So dy/dx at x=0 is 32.

Now the vertical component of the velocity is 32sinФ (where Ф is the angle at which penny is thrown).

Ф[tex]=\tan^{-1}(32)[/tex]

Vertical component=[tex]32*\sin(\tan^{-1}(32))[/tex]=31.98 ft/sec

Now applying the equation of motion: acceleration=-32ft/sec^(2)

u=31.98ft/sec   s=-425   t=?

[tex]s=ut+\frac{1}{2} at^{2}[/tex]

[tex]-425=31.98t-16t^2[/tex]

[tex]16t^2-31.98t-425=0[/tex]

Solving the quadratic equation we get:

t=6.249 sec≅6.25 sec

Therefore, the time taken is 6.25 sec.

To know more about equation of motion refer:https://brainly.com/question/24966506

#SPJ2


Related Questions

result of 5 and 75 with dividid by 3

Answers

Answer:

your answer is 30

Step-by-step explanation:

I hope this help

An expression is shown below: \sqrt(50)+\sqrt(2) is it irrational or rational

Answers

Answer:

Irrational

Step-by-step explanation:

It's an irrational number since both of them are irrational

How do you make x the subject of the formula?
I need help on this one
y= 7x-1​

Answers

Answer:

x=[tex]\frac{y+1}{7}[/tex]

Step-by-step explanation:

Hi there!

We want to make x the subject of the formula, which means to solve the formula for x

Here is the given formula:

y=7x-1

Our ultimate goal is to isolate x onto one side

Start by subtracting 7x from both sides

y-7x=-1

Subtract y from both sides to remove it from the left side

-7x=-y-1

Divide both sides by 7

x=[tex]\frac{-y-1}{-7}[/tex]

Simplify (factor -1 out of the numerator and denominator, then cancel it out)

x=[tex]\frac{-1(y+1)}{(-1)(7)}[/tex]

x=[tex]\frac{y+1}{7}[/tex]

Hope this helps!

Answer:

x = 1/7(y+1)

or

x = 1/7 y + 1/7

Step-by-step explanation:

y= 7x-1​

Solve for x

Add 1 to each side

y+1 = 7x-1+1

y+1 = 7x

Divide each side by 7

1/7(y+1) = 7x/7

1/7y + 1/7 =x

A small tree is beginning to lean. The owner decides to set up a tension wire to straighten the tree’s growth. The owner chooses a wire which is 5 m in length to straighten the tree. The tree is 4 m high. How far must the owner secure the bottom of the wire from the base of the tree (assuming he attaches the tension wire to the top of the tree)?

Answers

Answer:

Step-by-step explanation:

This is a right triangle trig problem. The height of the tree is the height of the triangle, and the length of the wire is the hypotenuse of the triangle. Using Pythagorean's Theorem, we can find the length of the base, which is how far he must secure the bottom of the wire from the base of the tree.

[tex]5^2=4^2+x^2[/tex] and

[tex]25=16+x^2[/tex] and

[tex]9=x^2[/tex] so

x = 3 m

Sarah has saved $150. She wants to double the amount she saves each month. As an incentive, Sarah's grandma says if she saves that amount, she will give her an additional $50 each month. What is the recursive sequence formula and first term for Sarah’s savings

Answers

A recursive relation is a relation that defines the terms in a sequence with the previous terms.

Here, the recursive relation will be:

[tex]A_n = 2*A_{n - 1} + $50[/tex]

A₁ = $150.

We know that:

Sarah has saved $150 at the moment.

She wants to double the amount that she saves each month, so the next month she needs to save 2*$150 = $300

And if she saves the $300, then her grandma will give her another $50.

Then, if the previous month Sarah saved A, then the next month she will get the double of A plus $50, which is:

2*A + $50

Then the recursive relation is just:

[tex]A_n = 2*A_{n - 1} + $50[/tex]

Where Aₙ is the amount that she saves in the n-th month, and the first term of the sequence is the initial amount that she saved, so we have:

A₁ = $150.

If you want to learn more about recursive relations you can read:

https://brainly.com/question/13143285

How can this quadrilateral be classified?
Select each correct answer.
O trapezoid
O square
O rhombus
O parallelogram

Answers

Answer:

Rhombus, Square, Parallelogram :)

Step-by-step explanation:

I just did this question and I got the three answers above right. I hope this helps!

If the bearing of Saaman from Ankaase is 171. What is the bearing of Ankaase from Saaman.​

Answers

Step-by-step explanation:

A. Theta + 180 (when angle is less than 180)

Theta - 180(when angle is greater than 180)

Thus, 171 + 180 = 351°

B. I. Angle CBF + Angle BFG = 180 (Co interior angles)

CBF + 118 = 180

CBF + 118 –118 = 180 –118

CBF = 62°

Ii. 83 + X + CBF = 180 (Angles on a straight line)

83+X+62 =180

145+x=180

145–145+x=180–145

X = 35°

Please help im stuck on this pls help ( i have to sort the cubes some how) i will give brainliest to who gets it right

Answers

Sort them in COLUMS, which is going down. There will be four sections, like this ...
_

| |

| |

| |
_


There will be four groups with three each, like this :)

Answer:

see image

three groups of 4 means 12 / 4 = 3

Step-by-step explanation:

find the missing side lengths​

Answers

Answer:

a = 17

b = 17

Answered by GAUTHMATH

side a = 17




side b = 17

please help! Similarity transformations!! I’ll mark brainliest later on :)

Answers

1. 1/2

2. Y

3. 1 left 3 ups. (-1, 3)

Problem Which ordered pair is a solution of the equation? y=3x+5y=3x+5y, equals, 3, x, plus, 5 Choose 1 answer: Choose 1 answer: (Choice A) A Only (2,11)(2,11)left parenthesis, 2, comma, 11, right parenthesis (Choice B) B Only (3,13)(3,13)left parenthesis, 3, comma, 13, right parenthesis (Choice C) C Both (2,11)(2,11)left parenthesis, 2, comma, 11, right parenthesis and (3,13)(3,13)left parenthesis, 3, comma, 13, right parenthesis (Choice D) D Neither Stuck?Review related articles/videos or use a hint.

Answers

The ordered pair are (-5/3, 0) and (0, 5)

Given the equation y = 3x + 5

To get the ordered pair of the equation, we will find the x and y-intercept

The x-intercept of the equation occur at y = 0

0 = 3x + 5

-3x = 5

x = -5/3

Hence the ordered pair of the solution is (-5/3, 0)

The y-intercept of the equation occur at x = 0

y = 3(0) + 5

y = 0 + 5

y = 5

Hence the ordered pair of the solution is (0, 5)

Learn more on ordered pair here: https://brainly.com/question/1528681

pls help meee lookat the screenshot

Answers

The diagram shows that the total number of buttons with ¾ inch length is 3.

So, if she lines all the ¾ inches buttons, then the total length will be

= ¾ inches × 3

= 9/4 inches

= 2 ¼ inches

Multiply 3/4 by 3

3/4 * 3/1

3/4 * 12/4 = 36/16

36/16 = 9/4

Answer: 2 1/4

show that the the product of the first two numbers 28,48 of that stem is equal to the product of their LCM and HCF

Answers

Answer:

HCF is 4

LCM is 336

Step-by-step explanation:

2/28 , 48

2/14 , 24

2/7 , 12

2/7 , 6

3/7 , 3

7/7 , 1

1 , 1

HCF is 2 × 2 =4

LCM is 2 × 2 × 2 × 2 × 3 × 7 = 336

Find the measures of angles​ 1, 2, and 3.
Two perpendicular lines cross each other. Another line rises from left to right intersecting the perpendicular lines where they both intersect. Angles labeled 1, 2, 3 and 57 degrees are shown. Angle 1 is opposite of angle 3. Angle two is opposite to a right angle. Angle 57 degrees plus angle 1 is a right angle. Angle 3 plus the angle opposite of angle 57 degrees is a right angle.

Answers

57 degrees and 27 degrees
oh

Select the correct answer. What is the completely factored form of this polynomial? 5x4 + 20x3 − 105x2 A. 5x3(x + 3)(x − 7) B. 5x2(x − 3)(x + 7) C. 5x3(x − 3)(x + 7) D. 5x2(x + 3)(x − 7)

Answers

Answer:

B.5: 5^2(-3)(+7)

Step-by-step explanation:

1. 5 is the HCF of the three numbers, so it goes outside the brackets. 5(^4+4^3−21^2).

2. ^2 is also a factor, so now its 5^2(^2+4-21)

3. Factor by Grouping 5^2(^2−3+7−21)

4. Factor by Grouping 5^2((−3)+7(−3))

5. Factor by Grouping 5^2(−3)(+7)

Thats your final answer.

Instructions: Find the measure of the indicated angle to the nearest degree.
4
?
16

Answers

Answer:

Sinx=4/16=1/4

x=Sin^-1(1/4)

? =14.47°

OAmalOHopeO

The measure of the unknown angle is approximately 14°.

What are trigonometric ratios in terms of a right-angle triangle?

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjacent/hypotenuse and

tan = opposite/adjacent.

From, The given diagram, With respect to the reference unknown angle,

the opposite side is 4 units and the hypotenuse is 16 units.

We know, sin = opposite/hypotenuse.

Therefore, sinФ = 4/16.

sinФ = 1/4.

Ф = sin⁻¹(1/4).

Ф = 14°.

learn more about trig ratios here :

https://brainly.com/question/14977354

#SPJ7

I need help with question 4!!!! PLEASE HELP ME!!

Answers

Answer:

4 cm

Step-by-step explanation:

V = πr²h

or, 36π = π(3)²×h

or, 36 = 9h

or, 4 = h

So the height is 4 cm

Answered by GAUTHMATH

Monica plans to buy markers and colored pencils at an office supply store A box of markers cost $3.85 and a a box of colored pencils cost $1.85. She has $40 to spend Which inequality best represents how many boxes of markers m and colored pencils c she can buy

Answers

Answer:

Step-by-step explanation:

m=7

c=5

balance=26.802

I'm unsure if I got the correct answer, mind if you help?

Answers

Answer:

Yes, you got the correct answer, it's y=-4

Find the 17th term of an arithmetic sequence whose first term is 12 and whose common difference is 6. Type answer as an integer (no decimals).

Answers

Answer:

Step-by-step explanation:

n17 = ?

n  = 17

d = 6

a1 =12

a17 = a1 +(n - 1)d

a17 = 12 + (17 - 1)*6

a17 = 12 + 16*6

a17 = 12 + 96

a17 = 108

The amounts​ (in oz) in cans of soda are given below. The cans are labeled to indicate that the contents are 12 oz of soda. Use a 0.01 significance level to test the claim that the cans are filled so that the median amount is 12 oz. If the median is not 12​ oz, are consumers being​ cheated?

Answers

Answer:

https://brainly.com/question/24258518

Step-by-step explanation:

Find the difference quotient for f(x) = x2 + 4.

Answers

I am trying to simplify a difference quotient with the form

f(x+h)−f(h)/h

if f(x)=2/x2 I have attempted to cancel out the denominator of the numerator by the least common denominator method. I know that I can solve this using implicit differentiation, but am trying to use the difference quotient to get the partial derivative

Here is my work so far:

f(x+h)−f(x)(h)

=f(2/(x+h)2)−f(2/x2)h

=(2/(x+h)2)−(2/x2)h

here I multiply by the LCD

=(2(x2)−2(x+h)2)/(x2(x+h)2)h

Here I expand out the top and cancel out 2x2

=(2x2−(2x2+4xh+2h2))/(x2(x+h)2)h

=−(4xh+2h2)/(x2(x+h)2))h

Here I think I should multiply by 1/h to get rid of the h on the bottom

I end up with:

=4xh+2h2hx2(x+h)2

factor out an h

=−4x+2hx2(x+h)2


Shree travels a distance of 12 km from her house to school by a bus at 20 km/hr and returns home at 16 km/hr.
i Calculate the time required to reach school from home .
ii find out the time required to reach home from school .
iii Determine the average distance of entire journey .​

Answers

Answer:

Step-by-step explanation:

1 t= S/V1= 12/20=0.6 hours

2 t =S/V2 = 12/16= 0.75 hours

3 12km

i guess they wanna determine the average V

using trig to solve for missing angle

Answers

Answer:

[tex]58.99[/tex]

Step-by-step explanation:

[tex] \tan(61) = \frac{o}{a} \\3.74 = \frac{x}{17} \\ x = 17 \times 3.74 \\ = 58.99[/tex]

Whats the chance of rolling the correct number 1-6500
When every time you guess a number the number changes
So if i guess 800 every time how many guesses to get the correct number

Answers

Answer

I don't know the correct answer but I can give you technique. Count the number of guesses above would give you 10, which is our answer to the maximum number of guesses to find a number between 1 and 1000.

In a sequence, the first term is 6 and the common difference is 4. The thirtieth (30th) term of
this sequence is
1) 118
2) 122
3) 1261
4) 130

Answers

If the first term is 6, there are 29 terms left until the 30th term so you do 29 x 4 = 116 then do 6 + 116 = 122

Single adults: According to a Pew Research Center analysis of census data, in 2012, 20% of American adults ages 25 and older had never been married. Suppose that we select random samples from this population of American adults ages 25 and older. For each sample we then calculate the proportion that had never been married.

For which of the following sample sizes will the sampling distribution be approximately normal?

Wang, W., and Parker, K. (2014). Record Share of Americans Have Never Been Married. Pew Research Center. http://www.pewsocialtrends.org/2014/09/24/record-share-of-americans-have-never-married/

A) 25
B) 50
C) 75

Answers

Answer:

B. 50

Step-by-step explanation:

Central limit theorem is used to calculate the sampling distribution of the given case. The number of adults who are 25 years of age or above and not married is 20% of the samples selected. The standard deviation is 0.06 while the sample size should be 50 to conclude the results.

An amount of 960.00 was contributed equally by 80 students. If 714.00 was contributed equally by 68 girls and the remains was contributed equally by the boys,how much did each (A) girl contribute ( B)boy contribute

Answers

Answer:

Amount each girl contributed = 10.5

Amount each boy contributed = 16.83

Step-by-step explanation:

Total amount contributed = 916.00

Total student who contributed = 80

Number of girls = 68

Number of boys = 80 - 68

= 12

Amount contributed by 68 girls = 714.00

Amount each girl contributed = 714.00 / 68

= 10.5

Amount each girl contributed = 10.50

Amount contributed by boys = Total amount contributed - Amount contributed by 68 girls

= 916.00 - 714.00

= 202.00

Amount each boy contributed = 202.00/12

= 16.83

Amount each boy contributed = 16.83

25) A father is twice as old as his son. The sum oth of the ages is 99 years. Find their ages.​

Answers

Answer:

If the son’s age is x, the father’s age is 2x.

If the son’s age is x, the father’s age is 2x.Ten years ago:

If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 52

If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 523x + 20 = 52

If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 523x + 20 = 523x = 72

If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 523x + 20 = 523x = 72x = 24

If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 523x + 20 = 523x = 72x = 242x = 48

If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 523x + 20 = 523x = 72x = 242x = 48So the son’s age is 24 and the father’s is 48. Ten years ago, they were 14 and 38, which adds up to 52.

Hope this answer helps you..!!

.

.

Select this answer as the BRAINLIEST

What is the area of this triangle? Enter your answer in the box.

Answers

Answer:

A =27 cm^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh  where b is the base and h is the height

A = 1/2 (9) (6)

A =27 cm^2

Answer:

I assure you the person above is perfectly right. The area of a triangle is:

A = 1/2bh

Step-by-step explanation:

Have a good day.

Other Questions
|x-2| + |x+1| -5=0find x write a note to your friend asking her to meet you to visit one of your friends in the hospital. include _ reason, date, time, venue, what would he/she wish to take. Can the sides of a triangle have lengths of 42, 45, and 13? If so, what kind of triangle is it? 3. Which story events begin to create a sense of mystery and tension? For story, Where is Here A shopkeeper marked price of a radio is rupees 5000 is sold it allowing a discount of 10% and made a profit of rupees 500 find the cost price of the radio Calculate the percent error in the atomic weight if the mass of a Cu electrode increased by 0.4391 g and 6.238x10-3 moles of Cu was produced. Select the response with the correct Significant figures. You may assume the molar mass of elemental copper is 63.546 g/mol. Refer to Appendix D as a guide for this calculation. All of the following are signs or symptoms of a concussion, except PLEASE HELP AND EXPLAIN!! (3sqrt(3)-2sqrt(2))(sqrt(3)-sqrt(2)) which sentence uses the most appropriate tone for a formal speech How would you graph 6x-5y=13 what are the two characteristics of Pine due to which it is not placed under sub division angiosperms plz help me out with the 'd' one how does a general internet search help in the research The perimeter of a rectangular park is 200 feet. The length of the park is 40 feet longer than the width.Find the length of the park. What is the length of the park? feet? Which of the following men wrote The Considerations of the Nature and Extent of the Legislative Authority of the British Parliament? If the probability that an event occurs is 0.5 , the probability that the event does not occur is a cheetah running at a velocity of 18m/s accelerates at 1m/s for 5sec what is the final velocity of the cheetah There are 6 wooden cubes, each of side 5 centimeters there total mass is 525 grams find the mass per cube. b)find the mass per cubic centimeter of a cube. Dawson Toys, Ltd., produces a toy called the Maze. The company has recently created a standard cost system to help control costs and has established the following standards for the Maze toy: Direct materials: 7 microns per toy at $0.33 per micron Direct labor: 1.4 hours per toy at $6.70 per hour During July, the company produced 5,000 Maze toys. The toy's production data for the month are as follows: Direct materials: 70,000 microns were purchased at a cost of $0.29 per micron. 26,250 of these microns were still in inventory at the end of the month. Direct labor: 7,500 direct labor-hours were worked at a cost of $54,750.Required:a. Compute the following variance for julyb. The materials price and quantity variancesc. The labor rate and efficiency variances