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The expression represents the distance in feet an object falls after seconds. The object is dropped from a height of 906 feet.


What is the height in feet of the object 2 seconds after it is dropped?


Write an expression representing the height of the object in feet seconds after it is dropped.

Answers

Answer 1

Answer:

[tex]842\ \text{ft}[/tex]

[tex]y(t)=906-16t^2[/tex]

Step-by-step explanation:

Let [tex]y[/tex] be the height the object from the ground.

[tex]s[/tex] be the initial height of the object = 906 ft

[tex]u[/tex] = Initial velocity = 0

[tex]g[/tex] = Acceleration due to gravity = [tex]32\ \text{ft/s}^2[/tex]

[tex]t[/tex] = Time

The expression would be

[tex]y(t)=s-ut-\dfrac{1}{2}gt^2\\\Rightarrow y(t)=906-16t^2[/tex]

The required expression is [tex]y(t)=906-16t^2[/tex]

At [tex]t=2\ \text{s}[/tex]

[tex]y(2)=906-16\times 2^2\\\Rightarrow y(2)=842\ \text{ft}[/tex]

The height of the object after 2 seconds of falling is [tex]842\ \text{ft}[/tex].


Related Questions

find the surface area/volume for each

Answers

Answer:

goodjob

Step-by-step explanation:

Line segment t and line segment r are parallel. Both line segments are reflected across the y-axis to form line segments t' and r'.



Enter the distance, in units, between line segments t' and r'.
units

Answers

Answer:/

I,,,,M SORRYI NEED POINTSSS

Step-by-step explanation:

           

If the sin of an angle is the same as the cos of a second angle, then the two angles are
a) complementary
b) right
c) supplementary
d) congruent

Answers

Answer:

Congruent Step-by-step explanation:

          b

                           

Step-by-step explanation:

How long is side c ? ​

Answers

Answer:

you do pythagorean theorem

Step-by-step explanation:

the base is 8 and the side length is 6 so you do 8²+6²

8²=64 +6²=36

64+36=100 you have to square 100 which is 10

C=10

What is the amplitude of the function f(x)= 6sin(3x)?

Answers

Answer:

6

Step-by-step explanation:

The function is of the form

y =a f(bx) where |a| is the amplitude and b is the frequency

y = 6 sin (3x)

The amplitude is |6| = 6

I WILL GIVE BRAINLIEST!!!

Answers

Answer:

C

Step-by-step explanation:

The area is calculated as width × length , that is

[tex]\frac{50\sqrt{3} }{\sqrt{2} }[/tex] × [tex]\frac{80\sqrt{5} }{\sqrt{3} }[/tex] ( cancel [tex]\sqrt{3}[/tex] on numerator/ denominator

= [tex]\frac{50}{\sqrt{2} }[/tex] × 80[tex]\sqrt{5}[/tex]

= [tex]\frac{4000\sqrt{5} }{\sqrt{2} }[/tex]

To rationalise the denominator multiply numerator/denominator by [tex]\sqrt{2}[/tex]

= [tex]\frac{4000\sqrt{6} }{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex]

= [tex]\frac{4000\sqrt{10} }{2}[/tex]

= 2000[tex]\sqrt{10}[/tex] → C

Answer: The answer is C!

Step-by-step explanation:

Hope this helps, can I please have brainliest?

f varies inversely as the square of d. When d=2, f = 6. Find d when f is 1.5

Answers

Answer:

d = 4

Step-by-step explanation:

Given f varies inversely as d² then the equation relating them is

f = [tex]\frac{k}{d^2}[/tex] ← k is the constant of variation

To find k use the condition when d = 2, f = 6 , then

6 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )

24 = k

f = [tex]\frac{24}{d^2}[/tex] ← equation of variation

When f = 1.5 , then

1.5 = [tex]\frac{24}{d^2}[/tex] ( multiply both sides by d² )

1.5d² = 24 ( divide both sides by 1.5 )

d² = 16 ( take the square root of both sides )

d = [tex]\sqrt{16}[/tex] = 4

find the value of given expression

[tex] \sqrt{258 \times 258} [/tex]


Answers

Answer:

258

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:

√{258×258}=√258²=258 is your answer

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

y - 9 = -3/2 (x - 6)

Step-by-step explanation:

Equation of line: 4x - 6y - 15 = 0

Equation of perpendicular line: bx - ay + k = 0

                                                 = -6x - 4y + k = 0 → (equation 1)

Since the equation passes through (6,9)

-6(6) - 4(9) + k = 0

-36 -36 + k = 0

-72 + k = 0

k = 72

Substituting the value of in equation 1,

∴ Equation of perpendicular line = -6x -4y + 72 = 0

dividing by -2,

3x + 2y - 36 = 0

This equation is the simplified version of Option 1.

                                                   

y - 9 = -3/2 (x - 6)

y - 9 = (-3x + 18)/2

2y - 18 = -3x + 18

3x + 2y - 36 = 0

Solve for side c and round to the nearest tenth

Answers

Answer:

c

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan64° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{11}{c}[/tex] ( multiply both sides by c )

c × tan64° = 11 ( divide both sides by tan64° )

c = [tex]\frac{11}{tan64}[/tex] ≈ 5.4 ( to the nearest tenth )

7. Find CE.
X-50
B
D
2x + 3
E

Answers

Answer:

15x is the answer ihope this helps:j

Help me please please

Answers

Question 2 is b i think

CAN SOMEONE PLEASE HELP I WILL GIVE 50 POINTS

Answers

Answer:

yes I will help you just give the question

Trisha borrowed money from her mom to buy a skateboard plus safety gear. She paid back a little bit of money every week.

After 3 weeks she owed her mom $281. After 8 weeks, she owed her mom $166. Let y represent the amount she owes her mom and x represent the number of weeks she has been paying her debt.

Write an equation in slope-intercept form to represent how much she owes her mom after x weeks.


y=


How much money is Trisha paying her mom each week? $

How long will it take Trisha to pay off her debt?
weeks (answer in whole weeks)

Answers

Answer:

y==$281+$166=$447

in 11 weeks she pay $ 447

in 1 weeks she pay $447/11=40.6$

she paid off in 3+8=11 weeks

I am not sure

Answer:

Thanks for the points it feels really nice to help others

Step-by-step explanation:

PLEWhat is the simplified form of

V45?
A. v5
B. 9.5
C. 3V5
D. 573

Answers

It’s D I did the work
v45
v9x5
v3^2x5
3V5
the answer is C

Is 1.4, 4.8, 5 a right triangle?

Answers

Answer:

Yes it is possible

Step-by-step explanation:

Write a real world problem for: 80-3x=53

Answers

Answer:

Sam had 80 dollars in his pocket. He was feeling generous, so he handed out equal amount of money to each of his friends. After he handed out the money, he had 53 dollars left. How much did Sam give out to each one of his friends?

Step-by-step explanation:

In this real-world problem, the money he had at the beginning resembles the 80 in the equation. The -3x is the money he gives out to each of his friends. The 53 on the right-hand side is the money he has left after he gives the money away.

can anyone help me on this? thank u,, brainliested :))

Answers

Answer:

Put a pretend dot at number 2 and number -4, then since the line is undefined, it will simply be vertical and look like this:

Solve for X (In the Diagram)
Hope y'all are having a good day!!

Answers

Answer:

C: 10

Step-by-step explanation:

I multiplied the two of them. And that triangle is 90 degrees

I honestly have no clue how to do this

Answers

Answer:

Angle 1: 95 degrees

Angle 2: 85 degrees

Angle 3: 95 degrees

Step-by-step explanation:

Vertical angles are opposite and equal so in this case angle 1 and 3 are vertical and so are 2 and 85°

So that means angle 2 also equals 85 degrees and because of supplementary angles the other angle must add up to equal 180 degrees

85 + ? = 180

?=95

So both angle 1 and 3 equal 95 degrees

11. Write and solve and solve an equation to find the measure of

Answers

Answer:

39

Step-by-step explanation:

29+112= 141  180-141=39

Need help so confusing whats the answer

no spam

Answers

Answer:

Volume of the cone V》1570 cm^3

Volume of the hemisphere V》4186.67cm^3

Volume of the entire figure V》5756.67cm^3

hope it helps...

hope it helps...have a great day !!

Simplify.
410
44
QU
4-6
Ob
16
ос
44
Od
46
ID
Don't know

Answers

Answer:

4⁶

Step-by-step explanation:

10 - 4 = 6

In the last 4 seasons, Luis scored 14,18, 15, and 25 goals. How many goals does he need to score this year, to end the season with an overall average of 20 goals per season? O A. 29 O B. 27 O C. 30 O D. 28​

Answers

Answer:

28

Step-by-step explanation:

For Luis to get a mean of 20 he would need:

14 + 18 + 15 + 25 + x (unknown number of goal he needs) / 5 = 20

Therefore 14 + 18 + 15 + 25 + x = 100

Solve for x to get 28

tell me 3 mathematical things that you know in relation to geometry

Answers

Answer:

Dilations which reduce or enlarge an object. Translations which move the object from one part on the graph to another. I have also learned about how to construct a perpendicular bisector.

Step-by-step explanation:

Answer:

====================================

Geometry is a branch of mathematics that studies the sizes, shapes, positions angles and dimensions of things.

====================================

--> Actually, Flat shapes like squares, circles, and triangles are a part of flat geometry and are called 2D shapes.

These shapes have only 2 dimensions, the length and the width.

( based on what i know )

Find the area of a pizza with
a 16 in. diameter. If there
are 8 slices, how many sq. in.
is one slice?

Answers

Answer:

area of whole pizza = 200.96 in²

area of slice of pizza = 25.12 in²

Step-by-step explanation:

16"/2 = 8" radius

area = πr² = (3.14)(8²) = 200.96 in²

200.96 in²/8 = 25.12 in²

M<1 and m<2 are vertical angles if m<1 = 106° and M<2 equals 20x - 14 find M<2

Answers

Answer:

Answer:

m∠2= 86

Step-by-step explanation:

since they are vertical angles, that means they are both equal to eachother.

so lets set them equal!

17x+1=20x-14

17x+15=20x

15=3x

x=5

now input x into m∠2

m∠2 = 20(5) – 14 = 86

Step-by-step explanation:

Change the subject from y to x

Answers

y = (2x + 1)/(3x + 4)

y(3x + 4) = (2x + 1)

3xy + 4y = 2x + 1

4y - 1 = 2x - 3xy

4y - 1 = x(2 - 3y)

x = (4y - 1)/(2 - 3y) , answer = E

What is the area of the trapezoid?
9 yd
8 yd
13 yd

Answers

Answer:

area = 88 yd²

Step-by-step explanation:

area = 1/2(b1 + b2)h = 1/2(9 + 13)(8) = 88 yd²

Answer:

88 yd^2.

Step-by-step explanation:

Area of a trapezoid = 1/2 * h * (a + b) where h = height, a and b are lengths of 2 parallel side.

Area = 1/2 * 8(9+13)

= 4 * 22

= 88 yd^2.

Harriet is cultivating a strain of bacteria in a petri dish, she has 10^3 bacteria in the dish. The bacteria divided every two hours such that the number of bacteria has doubled by the end of every second hour. How many bacteria will Harriet have in the dish at the end of 6 hours?

Answers

Answer:

4000

Step-by-step explanation:

A=P(2)^(t/d)

A=future amount

P=starting amount

t=time elapsed

h=doubling time

given

P=10^3

t=6

d=2

A=10^3(2)^(6/2)

A=10^3(2)^2

A=10^3(4)

A=4*10^3

A=4000

4000 bacteria

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