An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled using h(t) = 144 – 16t2.

Answers

Answer 1

Answer:

3 seconds

Step-by-step explanation:

Complete question:

An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled using h(t)=144-16t2. How many seconds will it take the object to reach the ground? 2 seconds 3 seconds 9 seconds 16 seconds

Given the height of an object modelled by the expression;

h(t)=144-16t²

The object will reach the ground when h(t) = 0

Substitute into the formula

0 = 144 - 16t²

-144 = -16t²

144 = 16t²

Swap

16t² = 144

t² = 144/16

t² = 9

Square root both sides

√t² = ±√9

t = ±3secs

Since the time cannot be negative, hence the object will reach the ground 3 seconds after


Related Questions

Find the height of a prism whose volume is 108 cm3
and the area of the base is 15 cm2.

Answers

Answer:17

Step-by-step Experlation: The volume is 108 cm. 3,2,15.a square prism with a base edge of 9.5 inches and a height of 17 ... amount for a landowner

Please please help please please ASAP ASAP please ASAP help please please ASAP please please help ASAP ASAP please please help please please ASAP please

Answers

Answer:

7

Step-by-step explanation:

The two lengths (4x-7 and x+14) are the same. This is because if we look at the big trapezoid as a whole, the ratio of the three segments on the side (4, 4, 4) is the same as the ratio of the three lengths on the other side. Therefore the ratio of the two lengths would be the same as well, 1:1. (btw the photo that I attached is what I mean by the two sides). So, we can form the equation: 4x-7 = x+14. The steps to solve the problem:

4x-7 = x+14

3x=21

x=7

The value of x is 7!

How do I find degrees of monomials?

Answers

Finding the degrees of monomials are actually really easy!

Here's how you know:
Some examples:

6y^4 Degree is 4. y to the 4th power.


65pq^3y^2 p is to the power of 1, q is power of 3, y is to the power of 2
so, 1+3+2=6
Degree: 6



18x^2y^5z
Here you see a 2, 5, and 1 because z to the first power is z.
2+5+1=8
Degree:8

--->Remember, this is just the sum of exponents of the variables

ANSWERRRRRR :puppy eyes emoji:

Answers

Answer:

A rhombus is a special type of parallelogram

Step-by-step explanation:

Similarities in a rhombus and parallelogram:

Both pairs of opposite sides are equal and parallel.Diagonals bisect each other and are unequal.Opposite angles are equal.None of the angles is 90 degrees.

A rhombus is a special type of parallelogram in that

All its sides are equal.The diagonals bisect each other at right angles.Each diagonal bisects the angle at the vertices.

Given the figure below, find the values of x and z.

Answers

Answer: Z = 83

X = 7

Step-by-step explanation:

Z = 83 because the opposite side is also 83 and they are the same angle. X = 7 because the whole thing equals 360 and 83 +83 = 166 and 360 - 166 = 194 and 194 divided by 2 equals 97 and 15 x 7 - 8 = 97 and the other side is also the same because the angles are the same

What is the answer to this equation?

Answers

Answer:c

Step-by-step explanation:the y has to be greater than -1 and x is just a longer negative y

Find the area of the circle. Round your answer to the nearest whole number, if necessary.
The circle is 20 in fully 10 half


area: about
in.2

Answers

Answer:

if you round of. 20 the answer is 10

URGENT , PLEASE HELP DONT LINK FILES!!!




Find the volume of right rectangular prism made of one hundred 1/2-inch cubes


Answers

Answer:

50

Step-by-step explanation:

100÷1/2=50 so your answer would be 50

The cost of a car rental is ​$40 per day plus $0.22 per mile. You are on a daily budget of ​$84. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other​ two-step inequalities with the same solutions.

Answers

Answer:

200 miles

Step-by-step explanation:

Given data

cost of car rental per day= $40

cost per mile= $0.22

We are told that the budget is $84

The expression for the total cost is given as

y= 40+0.22x

where x = the distance travelled

now for y=$84, by substituting we can get x

84=40+0.22x

84-40=0.22x

44=0.22x

divide both sides by 0.22

x= 44/0.22

x=200

Hence the distance that $84 will go is 200 miles

What is the value of c^2-d^2 if c+d=7 and c-d=-2?

Answers

Answer:

- 14

Step-by-step explanation:

c² - d² ← is a difference of squares and factors as

= (c + d)(c - d) ← substitute values for factors

= 7 × - 2

= - 14

41+98+0000000000000000000000000000000000000000000

Answers

139

ffsahshanjwjsjudke

Answer:

139 because zero is addition identity

what is the positive solution to the equation 4x^{2}+12x=135

Answers

Answer:

9/2 = 4 1/2

Step-by-step explanation:

JT bisects AJH and the measure of MJT is four times that of TJH. If the measures of MJT is 120 find the measure of MJA.

Answers

MJH = 120

Let TJH = x

You’re told MJT is 4 times TJH

So you have 4x + x = 120

Simplify: 5x = 120

Divide both sides by 5:

X = 24

TJH = x = 24 degrees.

JT is a bisector so both TJH and TJA are the same. So TJA is also 24 degrees

So MJA = 120 - 24 - 24 = 72

MJA = 72 degrees

Answer

34MJT

Step-by-step explanation:

did it on edge

4. Which ordered pair best represents a point
on Tia's route to the store?
F .(-5, 6)
G. (-2.5, 0)
H. (-2,5)
J. (-3.5, -3)

Answers

The third one i believe

Answer:

G. (-2.5, 0)

Step-by-step explanation:

Starting from the origin, (0, 0), go 2.5 units to the left (because it's negative) on the x-axis, and then 0 units on the y-axis. You end up on (-2.5,0).

hope this helped :)

Consider this right triangle.
Enter the ratio equivalent to sin (B)

Answers

Answer:

[tex]\boxed {\boxed {\sf sin(B)= \frac {21}{29}}}[/tex]

Step-by-step explanation:

Sine is the ratio of the opposite side to the hypotenuse.

[tex]sin \theta= \frac {opposite}{hypotenuse}[/tex]

We want to find the sine of angle B. The side AC, which measures 21, is opposite angle B.

The side AB, which measures 29, is the hypotenuse because it is the longest side and opposite the right angle.

[tex]opposite= 21\\hypotenuse=29[/tex]

Substitute the values into the formula.

[tex]sinB= \frac {21}{29}[/tex]

This ratio cannot be reduced further, so it is the final answer.

The sine of B is 21/29

HI CAN SOMEONE HELP ME WITH THESE PUNNET SQUARES PLS

Answers

Answer:

1. 100% Rr is the genotype. Phenotype would be red rose.

2. Genotype is 100% Rr. Phenotype is Tall bean.

3. Genotypes are Rr or rr. 50/50 chance of getting either one. Phenotype would be red rose if the genotype is Rr, phenotype would be white rose if the genotype is rr.

reply to this answer if you would like instructions for how to fill out the squares.

Step-by-step explanation:

the capital letters have to do with dominant genes. the lower case letters have to do with not dominant genes. if you have Rr, it would be a dominant gene bc the capital takes over. if you have rr it would be not dominant gene bc there are only lower case. if you have RR it would be dominant gene bc there are only capital letters.

TIP; genotype is the formula (RR, Rr, or rr) phenotype is physical characteristic.

Thank you in advance.

Answers

I think it’s C, my friend took the test, and he said C. Tell me if incorrect

PLEASE HELP I DON'T UNDERSTAND!!!!!! I WILL MARK!!!

Answers

Answer:

the first one.

Step-by-step explanation:

The answer to the problem is the first answer choice

ILL MARK BRAINLIESTTTTT

Answers

Answer:

0.075 inches per year

Step-by-step explanation:

The average rate of change is measured as

( difference in diameter ) ÷ ( difference in years )

= ( 251 - 248 ) ÷ ( 2005 - 1965 )

= 3 inches ÷ 40 years

= 0.075 inches per year

which list shows these numbers in order from least to greatest?

Answers

Answer:

B

Step-by-step explanation:

[tex]\sqrt{9}[/tex] = 3

3[tex]\pi[/tex] = 9.42477

-2.4 = -2.4

-5 = -5

20% = 0.20

The point with coordinates $(6,-10)$ is the midpoint of the segment with one endpoint at $(8,0)$. Find the sum of the coordinates of the other endpoint.

Answers

Answer:

[tex](4,-20)[/tex]

Step-by-step explanation:

Let [tex]P(x,y),\,Q(u,v)[/tex] be two points then midpoint of [tex]PQ[/tex] is given by [tex](\frac{x+u}{2},\frac{y+v}{2})[/tex]

Put midpoint as [tex](6,-10)[/tex] and [tex](u,v)=(8,0)[/tex]

Therefore,

[tex](\frac{x+u}{2},\frac{y+v}{2})=(6,-10)\\\\(\frac{x+8}{2},\frac{y+0}{2})=(6,-10)\\\\\frac{x+8}{2}=6,\,\frac{y}{2}=-10\\\\x+8=12,\,y=-20\\x=12-8,\,y=-20\\x=4,\,y=-20[/tex]

So, the other point is [tex](4,-20)[/tex]

What happens to light when it strikes a smooth shiny surface?

Answers

Step-by-step explanation:

Light reflects from a smooth surface at the same angle as it hits the surface. For a smooth surface, reflected light rays travel in the same direction. This is called specular reflection. For a rough surface, reflected light rays scatter in all directions.

Answer:

When light strikes an object, its rays can be either absorbed or reflected. A solid black object absorbs almost all light, while a shiny smooth surface, such as a mirror, reflects almost all light back. When reflected off a flat mirror, light bounces off at an angle equal to the angle it struck the object.

Step-by-step explanation:

What method did you use? Why? Solve. for x: 47° 13​

Answers

Answer:

Step-by-step explanation:

Givens

You have the hypotenuse: 13

You seek the adjacent side: x

You have the angle enclosing the 2: 47 degrees.

The relationship is the Cosine

Solution

Cos(47) = opposite / hypotenuse

Cos(47) = 0.6820                            From your calculator

Cos(47) = x / 13                                Multiply both sides by 13

13*cos(47) = x

x=8.866

What’s the opposite of -5/8

Answers

The opposite of -5/8 is 5/8.
It’s 5/8, |-5/8| = 5/8

A scalene triangle has sides measuring 200 feet, 107 feet, and 221 feet. What is the
perimeter of the triangle?

Answers

Answer:

P = 528

Step-by-step explanation:

P = a + b + c = 200 + 107 + 221 = 528

Follow the process of completing the square to solve x2 - 10x + 8 = 0. What is the value of the constant that will be isolated on the right side of the equation in step 3? -8 -12 -32

Answers

Answer:

25

Step-by-step explanation:

Given the expression x^2 - 10x + 8 = 0.

According to completing the square method

Subtract 8 from both sides

x^2 - 10x + 8 - 8 = 0 - 8

x^2 - 10x = -8

Complete the square

Add the square of half of coefficient of x to both sides

Coefficient of x = -10

Half of Coefficient of x = -10/2

Half of Coefficient of x = -5

Square of Half of Coefficient of x = (-5)^2

Square of Half of Coefficient of x = 25

Add (-5)^2 to both sides

x^2 - 10x + (-5)^2 = -8 + (-5)^2

(x-5)^2 = -8 + 25

(x-5)^2 = 17

Hence the required constant that was added is 25

Hiroto reduces a rectangular photograph by 0.5 by scanning it onto his computer. The image on the screen measures 3 inches by 5 inches. Which rectangle represents the original photograph? Rectangle A B C D Width 1.5 3.5 6 15 Length 2.5 5.5 10 25 A B C D

Answers

Answer:

C i think

Step-by-step explanation:

What are the distances between the pair of points

G(0,-3) and H(0,-6)

Answers

Answer:

the distance is 3 units

Step-by-step explanation:

Answer:

3 units

Step-by-step explanation:

Which of the following expressions are equivalent to 10 – 12? Choose all answers that apply:

А. 2.5 - 6

B.2(5 - 6)

C.None of the above​

Answers

Its B


All you have to do is subtract 10-12 = -2 and 2(5-6) = -2 how? Subtract 5-6 that will equal to -1 now -1 x 2 = -2

Answer:

B: 2(5−6)

Step-by-step explanation:

Add the negatives.
6- 3 + 2 - 1 - 4



Please help ....

Answers

It’s 0 because When you subtract 6-3=3 and add 3+2=5 and subtract it by -1 =4 subtract 4-4=
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