An observation deck extends 202 feet out above the valley. The deck sits 152 feet above the valley floor. If an object is dropped from the observation deck, it's height h in feet, after t seconds, is given by h= -16t^2+152. How long will it take for the object to be 8 feet above the valley floor?

Answers

Answer 1

Answer:

3 secs

Step-by-step explanation:

Given the height of the object as it drops from the observation deck expressed as;

h= -16t^2+152

To determine the the time it will take the object to be 8 feet above the valley floor, we will substitute h = 8 into the equation and calculate t as shown;

8 = -16t^2+152

subtract 8 from both sides

8-8 = -16t^2+152-8

0 =  -16t^2+144

0-144 =  -16t^2

-144 = -16t^2

16t^2 = 144

Divide both sides by 16;

16t^2/16 = 144/16

t^2 = 9

t = √9

t = 3seconds

Hence it will take 3 seconds for the object to be 8 feet above the valley floor


Related Questions

Use the diagram to find lengths. BP is the perpendicular bisector of AC. CQ is the perpendicular bisector of BD. AB = BC = CD.

Answers

Answer:

hhhhhh i have no idea

Step-by-step explanation:

sorrrrrrryyyyyyyyyyy

Answer:

PC = 8

Step-by-step explanation:

Bisectors split things into equal parts. The bisector PB made AP and PC equal. So AP = 8, AP = PC, 8 = PC

find area and perimeter

pls show work

Answers

Step-by-step explanation:

ok so first you can split the object into 2 different shapes like the first picture.

next you can start with shape labeled 1

and the perimeter of that would be 5+5+4+4 =14

so the perimeter is shape 1 is 14

the area would be5×4 which is 20

now shape 2 the perimeter of that would be 8+8+2+2 which is 20

the area would be 8×2 which would be 16

so then you add the are and perimeter of each shape together

p= 14+20=34

a= 20+16= 36

Write the word sentence as an inequality. Then solve the inequality. Six times a number x is at least −24.

Answers

6x≥-24 is the inequality of sentence Six times a number x is at least −24 and x≥-4 is the solution of inequality.

What is Inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The given sentence is  Six times a number x is at least −24.

Whenever there is a word times means it is a product.

Atleast means greater than or equal to.

Let x be the number in inequality.

Six times a number x is 6x.

Six times a number x is atleast −24.

6x≥-24

6x≥-24 is the required inequality

Divide both sides by 6

x≥-4

Hence, 6x≥-24 is the inequality of sentence Six times a number x is at least −24 and x≥-4 is the solution of inequality.

To learn more on Inequalities click:

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4(2x - 3) = 8x – 12
Solve for the following equation

Answers

Answer:

8x-12=8x-12

Step-by-step explanation:

they are the same

What is the slope intercept form of the equation 4x-8y=72

Answers

Answer:

y = 1/2x - 9

General Formulas and Concepts:

Alg I

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Standard Form: 4x - 8y = 72

Step 2: Find slope-intercept form

Subtract 4x on both sides:          -8y = 72 - 4xDivide both sides by -8:               y = -9 + 1/2xRewrite:                                         y = 1/2x - 9

Liana is studying the activity of nurse sharks. She starts at a position that is 25 feet below sea level. She rises 9 feet, then descends 12 feet to take a photo of a sleeping shark. Find her position relative to sea level when she took the photo.

Answers

Answer:

I believe the answer is -28

Step-by-step explanation

I gotchu bro

The answer is -28 because Liana starts at 25 below sea level (which is the same thing as -25) If she rises 9 feet, then you know to add because she is going up so your just gonna add. Next she descends 12 feet, so she went down, so subtract. So i know the answer is going to be -28 because -25+9 is -16, then imma subtract -16 and 12 so, -16 - 12= -28. There ye go

The orange shape is a dilation of the black shape. What is the scale factor of the dilation?
1018
х
-10
0
10
-10
Simplify your answer and write it as a fraction or whole number.

Answers

Answer:1/2

Step-by-step explanation:

The slope of line r = 5 and the slope of line s = -5. Are the lines parallel, perpendicular or neither?

Answers

Answer:

Neither, if they are parallel they slope would be the same, and if they were perpendicular one of the slopes would be -1/5 so I am pretty sure it is neither. (I also graphed it and it didn't look perpendicular or parallel)

Step-by-step explanation:

i need (−5)×(2)×(−0.5)​

Answers

Answer:

5

Step-by-step explanation:

(−5)×(2)×(−0.5)=5

You have $3.50 made up in quarters and nickels. In total, you have 26 coins. How many of each coin do you have?

Answers

Answer:

15 nickels and 11 quarters

i need help with my homework ​

Answers

The shaded squares are positive because a negative number multiplied or divided by a negative number makes the product or quotient positive. There is no specific rule that comes to mind, but if your teacher has provided a list of specific rules I would look for something mentioning negative numbers.

a force of 10 newtons act in a direction 75 above horizontal moving an object 15 meters from (0,0) to (15,0). What is the work done by the force?
A. 2.59 joules
B. 3.88 joules
C. 38.82 joules
D. 150.00 joules

Answers

Answer:

C

Step-by-step explanation:

i think

The required work done is 38.82 joules.

Work done to be determine for force of 10 newton on angle of 75° for 15 meters.

What is work done?

Work done is define as the force required to move an object by some displacement.

Here, work done = force x displacement x cosФ
                          =  10 x 15 x cos75°
                          =   150 x 0.25

                           = 38.82 joules

Thus, the required work done is 38.82 joules.

Learn more about work done here:
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help needed


Oliver is using plywood to build the skateboard ramp shown. Three sides of the ramp are rectangles.

How many square feet of plywood does Oliver need to build the ramp?


help atleast tell me how to solve it or just give me the answer !

Answers

Yeeeeeeeeeeeep aight.

please help and answer......

Answers

Answer:

C not like terms

Step-by-step explanation:

Answer:

the answer is LIKE TERMS because 10 doesnt have a variable of y

Step-by-step explanation: Brainliest please.

Jordan will deposit $14,000 in an account that pays 3% simple interest yearly for 10 years. What will be Jordan's total balance after 10 years?

Answers

Answer:4200

Step-by-step explanation:

Identify the property on this equation 4x + 3 = 3 + 4x

Answers

Answer:Infintely many

Step-by-step explanation:

Step 1:4x+3=3+4x. Subract 3 from both sides

Step: 4x=4x. Because 4x=4x,if it was 3x=4x it would be no solution.

Answer: Commutative Property of Addition

The general rule for this is a+b = b+a

We can add any two numbers in any order we want.

Example: Since 2+3 = 5 and 3+2 = 5, we know 2+3 = 3+2

What is the first step in solving the system by the substitution method?
x + 2y = 8
3x - 4y = 4
19
O Subtract 2y from cach side of x + 2y = 8
O Add x + 2y = 8 to 3x - 4y = 4
O Multiply x + 2y = 8 by-3
O Set x + 2y equal to 3x - 4y = 4

Answers

i think it’s multiply x+2y= by -3

(-2,4) ,(3,-6) point slope form

Answers

Y= -2x for the slope intercept form

What is that rate of change for the equation y=2x+60?​

Answers

Answer:

2

Step-by-step explanation:

the rate of change is basically the slope. In this equation the coefficient of x is the slope. The coefficient of x is 2. So 2 is your slope

i’m pretty sure the rate of change is 2

3x-1/5 = 2x+3/7
[tex]3x - 1 \div 5 = 2x + 3 \div 7 \\[/tex]

Answers

Answer:

123

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

[tex]\textsf{Given expression:}\\[/tex]

[tex] \rm{ \frac{3x - 1}{5} = \frac{2x + 3}{7} } \\ [/tex]

[tex]\textsf{By, doing cross multiplication, we get}\\[/tex]

[tex] \rm\longmapsto \:7(3x - 1) = 5(2x + 3) \\ [/tex]

[tex] \rm\longmapsto \:21x - 7 = 10x + 15 \\ [/tex]

[tex] \rm\longmapsto \:21x - 10x = 15 + 7 \\ [/tex]

[tex] \rm\longmapsto \:11x = 8 \\ [/tex]

[tex] \rm\therefore \:x = \frac{8}{11} . \\ [/tex]

[tex]\textsf{Hence, the value of x will be $\frac{8}{11}$ respectively.}\\[/tex]

pls give the answer​

Answers

Answer:

It should be 245 m

Step-by-step explanation:

Separate it like this:

chop of the rectangle part and find the area of that and then add it to the trapezoid part

10*20 = 200.

Area of a trapezoid = 5+10/2 *6.

5+10 = 15. 1

5/2 = 7.5.  

7.5*6 = 45.

45 + 200 = 245

S= CB-7, for C.
What is the Answer to this?

Answers

Answer:

C = (S + 7) / B

Step-by-step explanation:

S = CB - 7

S + 7 = CB

C = (S + 7) / B

Hope this helps!

Daniel's store sells basketball jerseys with the logos of each of the five local junior high teams. Daniel has 6000 jerseys in stock, divided among the five schools as shown. Complete the table to show how many of each school's jersey Daniel has in stock.

pls awnser its for a test

Answers

Answer:

2=3408493-=2=9

Step-by-step explanation:

What are the answers for a and B ?

Answers

Answer:

Step-by-step explanation:

Which of the following quantities are directly proportional? Amount of candy you can buy and the price if the amount of money you spend is constant.

Answers

Answer:

Not directly proportional

Oh and can you give me brainliest

Find the lateral surface area of the
following prism:
5 cm
5 cm
5 cm
5 cm
10 cm
5 cm
apothem = 3.6 cm
LSA = [ ? ] cm2

Answers

9514 1404 393

Answer:

  250 cm²

Step-by-step explanation:

The lateral area is the total area of the 5 rectangular faces. Each is ...

  A = LW = (10 cm)(5 cm) = 50 cm²

The lateral surface area is ...

  LSA = 5 × 50 cm² = 250 cm²

solve the equation
2+ x/-10 = 2/5
a: -16
b: -24
c: 16
d: 24​

Answers

Answer:

x = 16

Step-by-step explanation:

2+ x/-10 = 2/5

2 - 2 + -1/10x = 2/5 - 2

(10/-1) -1/10x = -8/5 (10/-1)

x = 16

Answer:

gddhdbjdbewb

Step-by-step explanation:

decnsnx wjdeni

Yesterday, Janie walked 35 mile to a friend's house, 14 mile to the store, and 38 mile to another friend's house. Which is the best estimate of the distance Janie walked?

Answers

The best estimate Janie walked is 87mile.

Answer:

1 1/4 miles

Step-by-step explanation:

Please help! I'll give brainlist!!!

Answers

Answer:

C

Step-by-step explanation:

3/4+(-1/8) which is 3/4-1/8. 6/8-1/8 which is 5/8 or option C.

Hope this helps please mark brainliest :D

Who knows how to do this diagonals topic

Answers

Answer:

12

Step-by-step explanation:

If the line GE is the bisector of FH then lines FJ and JH are congruent or the same size. this means that JH would equal 12 as well

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