how long would it take for an egg dropped from a helicopter to fall 256 feet to the ground? d=16t^2

Answers

Answer 1
Well the position function is:

h(t)=-16t^2+256

It will hit the ground when h(t)=0

-16t^2+256=0  factor out -16

-16(t^2-16)=0  factor difference of squares...

-16(t+4)(t-4)=0, since t>0

t=4 seconds



Related Questions

A carton of juice shaped like a rectangular prism measures approximately 8 inches high and 4 inches along each edge. A cylindrical glass that is 3 inches in diameter is filled to a height of 3.5 inches. Approximately how many glasses of this juice can be poured from a full container? Use π π = 3.14.

Answers

Volume of a rectangular prism is
V = length × width × height

The volume of the carton juice is
V = 4 × 4 × 8 = 128 in³

Volume of a cylinder is
V = Area of circular base × height = [tex] \pi r^{2} [/tex]×h, where [tex]r[/tex] is the radius of the circular base

The volume of the cylindrical glass is
V = (1.5)² × 3.14 × 3.5 = 24.7275 in³

Hence, the number of glasses that can be filled with the juice from the carton is:

128 ÷ 24.7275 = 5.18 ≈ 5 glasses


great jobbb. very helpful i meant 5 stars lol my b

What is 1000mm=. m
What is 65mm=. m
What is4.92m=. m
What is 3mm=. m

Answers

There are 1000 millimeters in a meter, so to convert, move the decimal three places to the left.

1000mm= 1m

65mm= 0.065m

To convert m to mm, move the decimal three places to the right.

4.92m= 4920 mm

3mm= 0.003m
1000mm = 1m
65mm. = 0.065m
4.92 m. = 4920mm
3 mm. = 0.003m

Given that a is the longest side length in the triangle, which of the following inequalities would make the triangle above an obtuse triangle?
A. a2+b2< c2 B. a2+b2>c2 C. b2+c2< a2 D. b2+c2>c2

Answers

The equations presented in the choices above are all derived from the Pythagorean theorem. This states that the sum of the squares of the two shorter sides is equal to the square of the longest side which is also referred to as the hypotenuse. 

If the sum of the squares of the shorter sides is smaller compared to the square of the hypotenuse then, the triangle is OBTUSE. The answer therefore to this item is letter A. 

Answer:

it is abtuse triangle

Step-by-step explanation:

no step

Which statement best describes the expression 3 + 2 ÷ y?

The quotient of y and the sum of 3 and 2
The quotient of the sum of 3 and 2 and y
The sum of 3 and the quotient of 2 and y
The sum of 3 and the quotient of y and 2

best answer will get BRAINLIEST!!!!!

Answers

Answer:

C. The sum of 3 and the quotient of 2 and y

Step-by-step explanation:

Given :  3 + 2 ÷ y

Solution:

First consider the BODMAS rule

solving any equation we need follow this sequence (BODMAS)

B - Bracket

O - Of

D- Division

M- Multiplication

A - Addition

S - Subtraction

So, in the given equation we first consider the division after that the addition

i.e. division of 2 by y (quotient of 2 and y) and then addition of 3  in the result of division of 2 by y

So, we can say it as The sum of 3 and the quotient of 2 and y

Answer:

The answer is just c

Step-by-step explanation:

How fast was Matt driving if he drove 415 miles in 7 hours?

Answers

He was driving 59 mph

The speed of Matt nearest to tenth place will be 59.3 miles per hour.

What is speed?

Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.

We know that the speed formula

Speed = Distance/Time

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Matt drove 415 miles in 7 hours. Then the speed of Matt is calculated as,

Speed = 415 / 7

Simplify the equation, then we have

Speed = 59.2857 miles per hour

Speed = 59.3 miles per hour

The speed of Matt closest to the 10th spot will be 59.3 miles each hour.

More about the speed link is given below.

https://brainly.com/question/7359669

#SPJ2

The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 -12
0 -6
1 0

g(x)
g(x) = 2x + 6


Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

Answers

PART A)
if f(x) is a line, you can find this expression:

y = m * x + b

Substitute two values to find, m and b. m is the slope, b the intercept, OK?

(0,-6) ---> -6 = b, so b= -6.
(1, 0) ---> 0 = m + b = m - 6, m = 6.

f(x) = 6x-6.

Check it:

(-1,-12)? y = 6*(-1)-6 = -12, yeah!!!

Now, g(x) is written as slope-intercept already:

slope = 2 (the coefficient of x)
intercept = 6 (the term without x)

slope of f(x) =6, slope of g(x) = 2

PART B)

6>-6, so the intercept of g(x) is greater.

Hope you learned sth! :)

Which section of the function is constant? A graph is shown. Segment A is a horizontal line beginning at the y-axis. Segment B moves upward. Segment C is a horizontal line. Segment D moves downward.

Answers

Answer:

Answer: B

Step-by-step explanation:

Find x if y=-2 4x-6/y=15 A.9/2 B. 5 C.3 D.-6/23

Answers

4x-6/(-2)=15
4x+3=15
4x=12
x=3
Your answer is letter C.) 3

Identify the property shown.

5 + 2 = 2 + 5
24 x 1 = 24
13 + 0 = 13

Answers

First one:
This is the commutative property of addition, which states that for two addends, the order of addends does not affect the value of the end result.

Second one:
This is the multiplicative identity property. It states that any number, when multiplied by 1, is equal to itself.

Third one:
This is the additive identity property, which states that any number, when added to 0, equals the same number.

Hope this helps!

Alejandro has two marbles. One weighs 0.56 grams, and the other weighs 0.825 grams. How much more does the second marble weigh?

0.265 grams
0.355 grams
0.769 grams
1.385 grams

Answers

0.825-0.56

0.265 grams
.265 grams would be the correct answer

On a standard circular 12-hour clock, the numerals 12 and 6 are opposite each other. On the planet Bajor, they use a circular ten-hour clock with the numerals 1 to 10 equally spaced. What pair of opposite numerals on a Bajorian clock has a sum of 11?
Please add an explanation with your answer.

Answers

Opposite Numbers and their Sums:

1+6=7
2+7=9
3+8=11
4+9=13
5+10=15

Because of this, the pair of opposite numbers are 3 and 8 if you want the pair that equal 11.

if x + y = 8 find the value of y when x = -1

Answers

Your answer would be y=9
First, replace x with the value of x.

x + y = 8 becomes -1 + y = 8

Solve for y.

-1 + y = 8
y = 9 <-- Add 1 to each side

So, y is equal to 9.

how many miles can you get on one tank of gas if your tank holds 18 gallons and you get 22 miles per gallon

Answers

Theoretically, you should be able to travel 396 miles on a full tank of gas. I found this by multiplying 22 and 18 because you can get 22 miles for every single gallon, and you have 18 gallons.

Find the area of a rectangle

Answers

What are the measurements?
to find the area of a rectangle multiply the length by the width


Suppose you have a normally distributed set of data pertaining to a standardized test. The mean
score is 500 and the standard deviation is 100. What is the z-score of 800 point score?

Answers

The formula to find the z score in a normally distributed set of data is: z = (x - ÎĽ) / Ď With ÎĽ being the mean, Ď being the standard deviation, and x being the score. Substituting these values into the formula gives us z = (800 - 500) / 100 = 3 The z-score of the 800 point score is 3.

How do you subtract: a negative number minus a positive number?

Answers

Hello there!

When subtracting a positive number from a negative, you're doing the same as adding two positive numbers, but flipping the value.

For example;

-2 - 2 = -4
2 + 2 = 4

If this doesn't help you, please message me or comment below and I will do my best to explain to you how it works. Thanks!

Jeremy drew a polygon with four right angles and four sides with the same length. Name all the polygons that he could have drawn.

Answers

he could have only drawn a square

Jeremy drew a square, which is a regular polygon with four equal sides and four right angles.

If Jeremy drew a polygon with four right angles and four sides of the same length, he could have drawn a square. This is because a square is the only regular polygon with four sides (also known as a quadrilateral) that has all sides equal in length and all angles equal at 90 degrees. In a quadrilateral, the sum of all interior angles is 360 degrees, which satisfies the criteria of having four right angles, as each right angle measures 90 degrees. The shape Jeremy drew cannot be any other polygon since the definition of a square is specific to having all sides equal and all angles equal, which uniquely identifies it among four-sided polygons.

The vertices J(2,6), K(7,8), L(9,3), and M(?, ?) determine a square. Show your work to find the coordinates of M. Use complete sentences and proper grammar to give a justification why JKLM is a square.

Answers

The sketch of the square JKLM is shown in the diagram below, which also tells us the coordinate of M = (4, 1). Plotting the coordinate on a graph is the most efficient way to work out the coordinate of M.

Mathematically, JKLM is a square because all of its four sides are equal in length. We also can justify by measuring the interior angles. A further method of justifying that JKLM is a square is by showing the lines connecting at each vertex are perpendicular.

A paint store has 35 gallons of paint in storage, 2/5 of which are for outdoor use. The others are for indoor use. If each gallon costs$22, what is the total cost of the indoor paint in storage?

Answers

3/5 of 35 = 21. $22 x 21 = $462

the distance around the tire or a motorized scooter is 21.98. the tires make one revolutioneer 1/10 second.Find the speed of the scooter in miles per hour.

Answers

for every 1/10 second it travels 21.98 inches

for a full second it travels 21.98 x 10 = 219.8 inches

for 1 minute it travels 219.8 x 60 = 2820 inches / 12 = 235 feet per minute

 235*60 = 14100 feet per hour

5280 feet per mile

14100/5280 = 2.67 = 2.7 miles per hour

The speed of the scooter with a tire circumference of 21.98 inches rotating at 1/10 second per revolution is approximately 12.5 mph after converting the distance traveled in inches per second to miles per hour.

To calculate the speed of the scooter in miles per hour, we first need to determine how far the scooter travels in 1 second. Since the tires make one revolution every 1/10 of a second, and the distance around one tire is 21.98 inches, in one second the tire will cover a distance equal to 10 revolutions (because 1 second divided by 1/10 second per revolution equals 10 revolutions). Hence, the scooter travels 21.98 inches  imes 10 revolutions = 219.8 inches per second.

To convert this speed to miles per hour, we'll first convert inches to miles (1 mile = 63,360 inches), then seconds to hours (1 hour = 3600 seconds).

Calculate Miles per Hour
Speed in miles per second = 219.8 inches/s  imes (1 mile / 63360 inches) = 0.003468 miles per second.
Speed in miles per hour = 0.003468 miles/s  imes 3600 s/h = 12.4848 mph.

Therefore, the speed of the scooter is approximately 12.5 mph.

In order to build a scale model of the trail, the drawing is enlarged on the coordinate plane. If two corners of the trail are at point A(−2, 7) and point D(−10, −1), what is another point that could represent a corner of the trail?
(10, 7)
(14, 7)
(12, 7)
(8, 7)

Answers

From the coordinate plane, we can see that the enlarged point A refers to point F, and enlarged point D refers to point I. To solve for this problem, we know that the ratios of each side should be similar (both the original and enlarged). Since the given choices have all y values equal to 7, so we have to look for the enlarged point of point G. Let us call that point as point C.

In this case, we take the ratio of side IF and side FG. First solving for length using distance formula:

IF^2 = (2 – 4)^2 + (-4 - -2)^2

IF^2 = 8

IF = sqrt 8

 

FG^2 = (7 – 4)^2 + (-2 - -2)^2

FG^2 = 9

FG = 3

 

Therefore the ratio of IF/FG must be equal to the ratio of DA / AC:

IF / FG = DA / AC

Find DA first:

DA^2 = (-10 - -2)^2 + (-1 -7)^2

DA^2 = 128

DA = sqrt 128

So,

sqrt 8 / 3 = sqrt 128 / AC

AC = 12

 

Finding for point C:          y  of point C = 7

AC^2 = (x - -2)^2 + (7 – 7)^2

12^2 = (x + 2)^2

x + 2 = 12

x = 10

 

Answer:

(10, 7)

can someone please help me?

Answers

B is the answer :))))
B is the answer. It is B

You downloaded a video game to your computer. You have a 60 minute free trial of the game. It takes 5 minutes to set up the game and 7 minutes to play each level. You want to find out how many levels you can play for free.

Answers

You can only play 7 levels for free
60-5=55
55/7= 7.857
you can play 7 complete levels before time runs out

You are a self-employed plumber. Your charges are: $22.50 per hour for labor, $0.50 per mile for travel to and from home, and the cost of materials plus 5%. Your last job was 35 miles from home. You took 4.5 hours to complete the job. The parts cost $350. Your invoice to the customer was for $468.75.

Was the invoice correct? If not, why?

A)No. You did not charge for travel.
B)Yes. The invoice was correct.
C)No. You charged too much for materials.    (ANSWER)
D)No. You charged too much for travel.

Answers

22.50 per hr for 4.5 hrs = 101.25...work pay
35 miles at 0.50 per mile = 0.50(35) = 17.50...travel pay
parts : 350 * 1.05 = 367.50...parts and taxes
total : 101.25 + 17.50 + 367.50 = 486.25

486.25 - 468.75 = 17.50.

answer is : The invoice is incorrect....he did not charge for travel <==

Another struggle.... Helppp

Answers

This inequality can be transformed into:

(x-7)(x+5) > 0

So the threshold points are x= 7 and x = -5

Then you can find that: when x > 7 and x < -5, this inequality works

So the solution is (-∞, -5) ∪ (7, ∞)
This is not easy ...

First you have to write it as an equation = 0:


x^2-2x-35 = 0.

Then, find the roots with he quadratic formula:

x = (2 +/- sqrt(4 + 280))/2, sqrt(284) = 16.85 ...

Uh, so now with roots:

sqrt(284) = sqrt( 4*71) = 2*sqrt(71), sounds too difficult for an online question ...

Let's move on:

roots = 1+/- sqrt(71), so

x^2 - 2*x -35 = (x - 1 - sqrt(71))*(x - 1 + sqrt(71))

You have to try values less, in between or greater than the roots. GOing straight to the point,

(-infinity, 1 - sqrt(71) ) And ( 1 +  sqrt(71), infinity)


Which fraction has a value greater than 0.4

Answers

1/2, 5/8, 3/4, could you give us the fractions please

Any fraction that is greater than 0.4! 0.4 as a fraction is 2/5, so as long as the fraction is greater than 2/5 then you are good!

A simple way to figure it out is cross multiplication. For example, let's say we need to compare 5/6 to 2/5. In order to do this, multiply across.

5       2
-       -
6       5    We multiply 5 by 5 and 6 by 2. We know that 25 is greater, therefore, 5/6 is greater. 

IF this helped please rate, thank, and give brainliest answer!

Debbie needs to fill juice cups for her little brother's birthday party. There are 20 juice cups and each juice cup holds 10 fluid ounces. The juice comes in 1-gallon bottles. How many 1-gallon bottles of juice will Debbie need to purchase?

(1 quart = 32 fluid ounces, 1 gallon = 4 quarts)

1 bottle
2 bottles
3 bottles
4 bottles

Answers

1 gallon = 4 qts

1 qt = 32 fl. ounces

 so 32 x 4 = 128 fl. ounce in a gallon

20 cups at 10 ounces each = 20*10 = 200 ounces needed

200/128 = 1.5625 gallons needed

she will need to buy 2 bottles

The function y=2x+4 has a domain of 2,3,5,7, and 8.
What number is not in the range of the function?
8
12
18
20

Answers

The answer is 12 because:
2(2)+4= 8
2(3)+4=10
2(5)+4=14
2(7)+4=18
2(8)+4=20
But no numbers in the domain will give you 12 as a value of y

You walk east 720 feet to get from your house to class. After class, you walk southwest 1,044 feet to meet your friends for lunch. When walking the 756 feet back home from lunch, what direction are you traveling?

Answers

The direction you are traveling to get back home is North

Verbal reasoning : Choose the most appropriate option to complete the statement . 'AC is to VJ as RO is to (??)'

Answers

MV is the answer. Because AC to VJ as RO is just MV
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