Mathematics College

Chris drops an egg with a parachute from the top of a building. The height, h, in feet, of the egg above the ground after t seconds is given

by h (t) = 100 - 16t2

After how many seconds does the egg hit the ground?

I

Answers

Answer 1

Answer:

The egg hits the ground after 2.5 seconds.

Step-by-step explanation:

Height of the egg:

The height of the egg after t seconds is given by:

[tex]h(t) = 100 - 16t^2[/tex]

After how many seconds does the egg hit the ground?

This is t for which [tex]h(t) = 0[/tex]. So

[tex]h(t) = 100 - 16t^2[/tex]

[tex]16t^2 - 100 = 0[/tex]

[tex]16t^2 = 100[/tex]

[tex]t^2 = \frac{100}{16}[/tex]

[tex]t = \sqrt{\frac{100}{16}}[/tex]

[tex]t = \frac{10}{4}[/tex]

[tex]t = 2.5[/tex]

The egg hits the ground after 2.5 seconds.

Related Questions

83. A student estimated the height of a tree as 47
feet. If the actual height is 53 feet, what is the
percent error rounded to the nearest percent?
(Hint: Compare the estimated height to the actual
height.)
Poviow (SARZA
Page 8

Answers

I believe it’s 89%. I divided the estimated height by the actual height (47/53=0.8867) and then turned it into a percentage (0.8867=89%)

Calculate the perimeter of the following shape.
6cm
y=
10 cm
12 cm
5 cm​

Answers

Answer:

The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides.

10 cm + 12 cm + 5 cm + 6 cm

= 33 cm

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:

If the zeros of a parabola are at x = 4 and x = -2 what could be the equation of the parabola?

Answers

Answer:

the equation would be: y=(x-4)(x+2)

Five less then 3 times a number is 3 let x be unknown
number

Answers

Answer:

3x-5=3

Step-by-step explanation:

Answer:

2.6 repeating Or 8/3(same thing in fraction form)

Step-by-step explanation:

So, lets iscolate the different parts of this euqation:

Five less than 3 times a number is 3

Or:

5 less than 3 * x = 3

This is a bit tricky here, but it should be:

(3*x)-5=3

Since order of operations, multipcation comes first.

And remember this is 5 less than the 3*x, so its subtracting 5 from 3*x.

This is all equal to 3.

Now lets solve:

(3*x)-5=3

Solve whats in the parthese first:

3x-5=3

Then get 3x alone:

3x=8

Then get x alone:

x=8/3

Or

2.66 repeating

This is your answer(8/3 or 2.6)

Hope this helps!

what is the common difference in the sequence (-3, 2, 7, 12, ...)

Answers

Answer:

an=a1+d(n−1) a n = a 1 + d ( n - 1 )

Step-by-step explanation:

This is an arithmetic sequence since there is a common difference between each term. In this case, adding −5 to the previous term in the sequence gives the next term. In other words, an=a1+d(n−1) a n = a 1 + d ( n - 1 ) .

Sally and Suzie both agree that m∠A + m∠B = 180⁰.

Sally claims ∠A and ∠B are supplementary.

Suzie claims ∠A and ∠B are not supplementary because they are not adjacent.

Who is correct?

Answers

I think Suzie is correct because the angles are separated from each other thus cannot be supplementary

Answer:

Sally is correct in claiming that [tex]\angle A[/tex] and [tex]\angle B[/tex] are supplementary.

Step-by-step explanation:

Supplementary angles are angles that add up to [tex]180^{\circ}[/tex]. Whether they are adjacent or not is irrelevant to whether they are supplementary. Since [tex]70+110=180[/tex], angles [tex]\angle A[/tex] and [tex]\angle B[/tex] are supplementary.

Assume y varies jointly with x and z. If y = 12 when x = 2 and z = 4, find x when y = 9 and z =6.

Answers

Answer:3

Step-by-step explanation:

a concert has 6 selections. there are 515 seats in each selection. about how many seats are in the concerts hall

Answers

Answer:

3090

Step-by-step explanation:

6 x 515

Answer:

3090

Step-by-step explanation:

HELP PLEASE SOMEONE:(

Answers

Answer:

C. 5°F

Step-by-step explanation:

- 5°F + 5°F

0°F



In one game there are 85 spins.
How many of these spins are expected to be 'Go forward 2 squares'?

Answers

I dont know the question sory


Solve for x and find the
missing angles :)

Answers

Answer:

x = 20

I'm not sure about the missing angles

20) A water sprinkler uses 12.9 gallons of water per minute. How many gallons of water will it use in 36,5 minutes?

a)470.85

B) 480.85

c)4708.5

D) 4808.5​

Answers

Answer:

b

Step-by-step explanation:

Answer: D. Hope It helps!!!!!

A hallow sphere sits snugly inside a foam cube so that the sphere touches all sides. Find the volume of the foam. Round answer to nearest tenth.

Answers

Answer:

5832

Step-by-step explanation:

(28.5-5. 190)-2
5-2
23
228

Answers

hay here is your answer and hope it's clear :) and if it's not clear [ download photo math] it maybe helpful for you ;)

equation 3x + 2y = 2 name solution as ordered pair

Answers

Answer:

(0,1) (1,-1/2), (2,-2)

Step-by-step explanation:

Solvex2
- 4x=21
using the zero product property.

Answers

Answer:

The answer is (x + 3) (x - 7) = 0

Step-by-step explanation:

x² - 4x = 21

x² - 4x - 21 = 0

x² - 7x + 3x - 21 = 0

x(x - 7) + 3(x - 7) = 0

(x + 3) (x - 7) = 0

Thus, The answer is (x + 3) (x - 7) = 0

-TheUnknownScientist

Challenge A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the
coins, 8% are pennies and 42% are dimes. There are 5 more nickels than pennies. How much money
does the bag contain?
The bag contains $

Answers

The bag contains 28 dollars

Find the trig ratio. Reduce to
lowest terms.
6
А
8
[?]
sin A
US

Answers

Answer:

[tex]\frac{3}{5}[/tex]

Step-by-step explanation:

GIVEN :-

Measure of side opposite to ∠A (Perpendicular) = 6 unitsMeasure of side adjacent to ∠A (Base) = 8 units

TO FIND :-

sin A

FACTS TO KNOW BEFORE SOLVING :-

[tex]Hypotenuse = \sqrt{(Base)^2 + (Perpendicular)^2}[/tex][tex]\sin A = \frac{Side \: opposite \: to \: A}{Hypotenuse}[/tex]

PROCEDURE :-

Measure of perpendicular of triangle = 6 units

Measure base of triangle = 8 units

Measure of Hypotenuse = [tex]\sqrt{(6)^2 + (8)^2} = \sqrt{36 + 64} = \sqrt{100} = 10 \: units[/tex]

Side opposite to ∠A = Perpendicular of triangle =  6 units

∴ sin A = [tex]\frac{6}{10} = \frac{3}{5}[/tex]

PLEASE HELP ME WITH THIS

Gabriela is solving the following equation. Her steps are shown:

Gabriella is not sure she has solved the problem correctly. How can you convince Gabriella if she has solved the problem correctly / incorrectly? If she has solved the problem incorrectly, solve it and convince her of the solution

Answers

Answer:

Solution given:

5(9x-8)=4(x+2)

45x-40=4x+8

45x-4x=40+8

41x=48

x=[tex] \frac{48}{41} [/tex]

Gabriella is not correct:

she has done in distribution

5(9x-8)=4(x+2)

45x-40=4x+8 not 45x-8=4x+2.

No, Gabriela is not solving correctly because her second step is wrong.

What is a fraction?

In a fraction the upper part is known as numerator and the lower part is known as denominator.

How to solve the problem?

The problem is as under

(9x-8)/4=(x+2)/5

The above problem is solved as

5(9x-8)=4(x+2)

45x-40=4x+2

41x=42

x=42/41

Hence the value of x is 42/41 therefore the solution of Gabriella is wrong.

Learn more about fraction at https://brainly.com/question/78672

#SPJ2

PLEASE HELP ITS URGENT Select the correct answer.
Which document do you need to have on hand when preparing to file your tax return ?

Answers

Answer:

a it's birth certificate

How long would it take a cruise ship to travel 156 miles at an average speed of 26 mph

Answers

Answer:

The answer is 6 hours

Step-by-step explanation:

26x6=156

20 POINTS HELP FAST
Administrators surveyed students enrolled in a new school in order to choose the school mascot. There are 480 students enrolled in the school. What is the proportion needed to calculate the average number of students that chose the lion for the mascot?

Mascot Survey
Sample 1
Sample 2
Ducks
12
Ducks
8
Grizzlies
24
Grizzlies
30
Lions
20
Lions
22
Silverbacks
16
Silverbacks
12
StartFraction 21 over 72 EndFraction = StartFraction x over 480 EndFraction
StartFraction 72 over 21 EndFraction = StartFraction x over 480 EndFraction
StartFraction 42 over 72 EndFraction = StartFraction x over 480 EndFraction
StartFraction 20 over 22 EndFraction = StartFraction x over 480 EndFraction

Answers

Answer:

its D.

Step-by-step explanation:

ANSWER PLZZZ I NEED HELP QUICK

Answers

We don’t know, we need the circle graph

Answer:

wheres the circle graph

Step-by-step explanation:

help on this question ​

Answers

Answer:

sec t = 1/(cos t) = 1/(-3/4) = -4/3

C is the midpoint of AE. B is the midpoint of Ac. D is the midpoint of CE

Answers

Answer: d is correct

Step-by-step explanation:

Answer: what is the question

Step-by-step explanation:

I need to know the x and y

Answers

Answer:

36^7/12=6 y/x

Step-by-step explanation:

im not sure for the rest of it

Find the x-intercepts of the parabola with
vertex (3,4) and y-intercept (0,-5).
Write your answer in this form: (X1,41), (X2,42).
If necessary, round to the nearest hundredth.
Enter the correct answer.

Answers

the answer is x=-10 because i just did it and got 100

y = a( x-h)^2 + k
h is the _______________________ shift.(+ shifts __________, shifts __________)k is the _______________________ shift. (+ shifts __________, shifts __________)If a is negative, the function is ____________________ across the ____- ________a1represents a vertical ________________________.a0 1represents a vertical ______________________.

can somebody help me fill this out plz

Answers

Can you summarize this?

PLEASE HELP ME!!!! I WILL MARK BRAINLIEST
find the length of the third side!
THANK YOU!

Answers

Answer:

The answer is 7

Step-by-step explanation:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

for our purposes we must rearrange this problem to find one of the sides, not the hypotenuse

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

plugging in our numbers we get

[tex] {25}^{2} - {24}^{2} = 49[/tex]

[tex] \sqrt{49} = 7[/tex]

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