A competitive diver dives from a 33-foot high diving board. The height of the diver in feet after 't' seconds is given by u(t) = −16t^2 + 4t + 33. At the moment the diver begins her dive, another diver begins climbing the diving board ladder at a rate of 2 feet per second. At what height above the pool deck do the two divers pass each other? Please answer it quickly, it's for my homework.

Answers

Answer 1

Answer:

[tex]t = 0.375s[/tex]

Step-by-step explanation:

Given

[tex]h(t) = -16t^2 + 4t + 33[/tex] --- driver 1

[tex]Rate = 2ft/s[/tex] -- driver 2

[tex]height = 33ft[/tex]

Required

The time they passed each other

First, we determine the function of driver 2.

We have that:

[tex]Rate = 2ft/s[/tex] and [tex]height = 33ft[/tex]

So, the function is:

[tex]h_2(t) = Height - Rate * t[/tex]

[tex]h_2(t) = 33 - 2t[/tex]

The time they drive pass each other is calculated as:

[tex]h(t) = h_2(t)[/tex]

[tex]-16t^2 + 4t + 33= 33 - 2t[/tex]

Collect like terms

[tex]-16t^2 + 4t + 2t= 33 - 33[/tex]

[tex]-16t^2 + 6t= 0[/tex]

Divide through by 2t

[tex]-8t + 3= 0[/tex]

Solve for -8t

[tex]-8t = -3[/tex]

Solve for t

[tex]t = \frac{-3}{-8}[/tex]

[tex]t = 0.375s[/tex]


Related Questions

Jason used the commutative property to write an expression that is equivalent to 3 4 + 5.6b + 9. 3 4 + 5.6b + 9 is equivalent to 9.0 + 56b + 3.4. Is Jason’s work correct?

Answers

Answer:

Yes, Jason's work is correct.

Step-by-step explanation:

When you use the commutative property, you can swap the numbers position and still get the same answer.

Hope this helps!!

Answer:

The answer is A No, he changed the terms

Step-by-step explanation:

SOMEONE PLS HELP ME

I ATTACHED A PIC​

Answers

Answer:

See solution below

Step-by-step explanation:

The centre of the circle will be the midpoint of both coordinate

Given the coordinates P(-7, -10) and Q = (3,2)

X = x1+x2/2

X = -7+3/2

X = -4/2

X = -2

Y = y1+y2/2

Y = -10+2/2

Y = -8/2

Y = -4

Hence the centre is at (-2, -4)

The distance between the coordinates will be the diamter

PQ =√(3+7)² + (2+10)²

PQ =√(10)² + (12)²

PQ = √100+144

PQ =√244

radius = √244/2

Get the equation

(x-a)² + (y-b)² = r²

(x -(-2))² + (y-(-4))² = (√244/2)²

(x +2)² + (y+4)² = (244/4)

(x +2)² + (y+4)² = 61

This gives the required equation

expanding triple brackets, i will give brainliest

Answers

Answer:

Step-by-step explanation:

Easy

(x^2+10x+24)(x+3)

(x^3+10x^2+24x + 3x^2+30x + 72)

x^3 + 13x^2+54x+72

[tex]x {3}^ + 13x + 54x + 72[/tex]

Y is directly proportional to x write a formula in terms of x find the value of y when x is 0.6 find the value of x when y is 38.5

Answers

Answer:

a)  [tex]x=\frac{y}{k}[/tex]

b) [tex]y=0.6k[/tex]

c) [tex]x=\frac{38.5}{k}[/tex]

Step-by-step explanation:

From the question we are told that:

  [tex]y=38.5[/tex]

  [tex]x=0.6[/tex]

Generally the equation for the directly proportional variable is mathematically given by

 [tex]y \alpha x[/tex]

 [tex]y=kx[/tex]

Where

[tex]K=proportionality\ constant[/tex]

a)

    The Formula in terms of x

   [tex]x=\frac{y}{k}[/tex]

b)

  [tex]y=k(0.6)[/tex]

  [tex]y=0.6k[/tex]

c)

   [tex]38.5=kx[/tex]

   [tex]x=\frac{38.5}{k}[/tex]

24 times 57 times 34 plus 50

Answers

Answer:

46,562 :) Brainliest pleaseeee

~Answer~

46,562

24*57*34=46,512

46,512+50=46,562

help uhhhhhh please ye

Answers

Answer:

d= 90 degrees

e= 66 degrees

f= 114

Step-by-step explanation:

D is 90 because the measure of the angle on the line is 180 and it shows that the other angle is 90 and 180- 90= 90. E is 66 because opposite angles are congruent. F is 114 because they lie on a straight line which has the measure of 180 and 180- 66= 114

Answer:

d = 90°

e = 66°

f = 114°

Step-by-step explanation:

d = 90°

e = 66°

Reason : Vertically opposite angles

Angles f and 66° are in the linear pair.

f + 66° = 180°

f = ( 180 - 66 )°

f = 114°

A combined total of $53,000 is invested in two bonds that pay 2% and 8.5% simple interest. The annual interest is $3,335.00. How much is invested in each bond? The amount invested at 2% is $ The amount invested at 8.5% is $

Answers

Answer:

8.5 = $35,000

2% = $18,000

Step-by-step explanation:

two equations can be derived from the question

x + y = $53,000 equation 1

0.02x + 0.085y = $3,335.00. equation 2

x = amount invested in 2% bond

y =  amount invested in 8.5% bond

multiply equation 1 by 0.02

0.02x + 0.02y = 1060 equation 3

subtract equation 2 from 3

0.065y = 2275

y = 35,000

substitute for y in equation 1

53,000 - 35,000 = 18,000

Please help

Extra hundred points and brainleist

Answers

Answer:

A

Step-by-step explanation:

It is A. The problem asks for the interval when the marlin's height is always increasing. Therefore, you want to look at the left half of the parabola, as the line is going into the peak. The right half is declining. The peak is at around 2 (on the x-axis), so you know that the ending interval number has to be 2. The marlin's height begins to go up starting at 0, so the interval is 0 <= x <= 2. Any number past two is a declining height, and the increase starts at 0.

A file is 261 megabytes is being downloaded. If the download is 14.1% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.

Answers

Answer:

36.80

Step-by-step explanation:

261 x .141 = 36.801

Stephanie borrowed $4,500 at a simple interest rate of 3.5% to buy a motorcycle. How much interest did she have to pay if the loan was taken out for 3 years?

Answers

C

Step-by-step explanation:

hope this helps

Please I need help!!!!

Answers

Answer:

y=1/4x-1

Step-by-step explanation:

So lets start off by going over what slope intecerp form is.

Slope intercept form looks like this:

y=mx+b

Lets go over the different values in this formula:

y is always going to just be what mx+b equals, and you can plug in values for x to solve for it.

m is always teh slope. The slope is y/x, basically just the change in y over the change in x.

x is going to be the number you plug in a value for to solve for y.When writing slope intercept form, this will always just be x.

Lastly we have b. This is what y equals when x is 0.

Lets use this to make our slope intercept.

So we have:

y=mx+b

y and x are not going to have a written value, so we only need to determine m and b.

So lets find b.

B will be the slope. When we look at the points on the graph, we see (-4, -2) and (0, -1)

The difference in y is -1.(-2--1=-1). The difference in the x is -4.(-4-0=-4).

So b will be: -1/-4, or just 1/4:

y=1/4x+b

Now lets find b.

Lets specificly lookat what y equals when x is 0 on the graph.

We can see the point is (0, -1)

So the y intercept is -1. This means b is equal to -1:

y=1/4x-1

This is your slope intercept!

Hope this helps! :D

Sorry for bad grammar, I am writting on a strange keyboard.

1) which rule best describes the following pattern?
8,4,10, 6, 12, 8, 14, ...
1) Divide by 2, add 6, subtract 4, repeat
) Subtract 4, add 6, repeat.
» Subtract 4, add 6, subtract 6, repeat.
Divide by 2, add 6, repeat

Answers

Answer:

Step-by-step explanation:

Option C is the correct answer

ASAP ILL GOVE 10 POINTS
Ashwin has equal numbers of classical songs and pop
songs loaded on his personal music player. He has it set to
play songs on a random shuffle. Suppose Ashwin is
designing a simulation that could be used to estimate the
probability that the next three songs to play are all pop
songs
Which simulation design could Ashwin use to estimate the probability?
A Number cube
Let 1 = classical
Let 2 = pop
Ro
be three times. Repeat
B. Number cube
Let even number = classical
Let odd number = pop
Rollcube three times. Repeat
C. Random digits
Let 1. 2. 3 classical
Let 4, 5,0 = pop
Select three random digits. Repeat
D. Random digits
Let 1, 2, 3, 4,5 = classical
Let 6, 7, 8, 9 pop

Answers

Answer:

B

Step-by-step explanation:

Took the test on AP3X

Answer:

B. Number cube

Let even number = classical

Let odd number = pop

Rollcube three times. Repeat

Step-by-step explanation:

Test approved

PLZ HELP I MAKE YOU BRAINILY!!!!!

Answers

Answer:

755.3

Step-by-step explanation:

The cylinder volume formula is pi*r^2*height. The r symbolizes the radius, which is 4. The height is 5. Thus, the volume of the cylinder is 5*16*pi = 80pi.

The rectangle's volume is length*width*height. The length is 6, the width is 14, and the height is 6. Therefore, the volume is 6*6*14, which is 504 in.

Now all you have to do is add the two volumes together. 80pi is around 251.3, so 251.3 + 504 = 755.3.

Answer:

I think the answer is B: 755.3^3.

Step-by-step explanation:

Don't hate me if I'm wrong please!!!

To find the volume of multiple figures, just find the volume of each of them and add them together.

Volume of rectangular prism: V = lwh; 14 * 6 * 6 = 504

Volume of cylinder: V = pi * r^2 * h; 16 * 3.14 * 5 = 251.2

504 + 251.2 = 755.2

Since this is the closest answer, the answer is B: 755.3^3.

Please mark me as brainliest!!!!!


A 6 kg rock is dropped off a 10 m cliff and hits the ground with a velocity of 12.5 m/s. How much work is done by air resistance on the rock
a:119j
b:588j
c:100j
d:196j

Answers

196j is the answer to the problem

Math
HELPP PLEASEEE

It is 1.32 pm, Sem will go to the store in 12 minutes. What time will Sam go
to the store?


Answers

Answer: 1:44

Step-by-step explanation: 1:32. take the 32 and add 12. 1:44

Answer:

1:32

Now add 12 minutes to 32.

1:44

Step-by-step explanation:

The number on the left of the colum is the hour and the number on the right of the colum is the minutes.

The Tennis Club decided to buy T-shirts for its members. Action Sports Apparel quoted the following prices for the T-shirts.

Number of T-Shirts Total Cost (dollar)
11 153
16 213
21 273

Which equation best describes the relationship between the total cost, c(t), and the number of T-shirts, t?
A.
c(t) = 12 + 12t
B.
c(t) = 21t
C.
c(t) = 21 + 12t
D.
c(t) = 132t

Answers

Answer:

C. c(t) = 21 + 12t

Step-by-step explanation:

How many proportional relationships are shown in the coordinate plane below?

Answers

Answer:

The answer is A) There are no proportional relationship

Step-by-step explanation:

The green line does not go through the origin and it is curved. This is not a proportional relationship.

Problems: It does not go through 0,0 and it is curved.

----------------------------------------------------------------------------------------------------------------

The blue line may go through the origin but it is curved. This is not a proportional relationship.

Problem: It is curved.

----------------------------------------------------------------------------------------------------------------

The purple line does not go through the origin. This is not a proportional relationship.

Problem: It does not go through 0,0

----------------------------------------------------------------------------------------------------------------

Conclusion: Since the green, blue, and purple line are not proportional, this means zero lines are proportional.

Note:

I know my answer is very late but I wanted to help anyone who needs it for future reference.

The graph has 0 proportional relationships.

What shows proportional relation?

The graph of a proportional relationship is a straight line through the origin or a ray whose endpoint is the origin.

How many proportional relation in graph?

In the given graph, only one purple color curve is a straight line but it is not starting through the origin.

Therefore, the graph does not have any proportional relationships.

Learn more: https://brainly.com/question/11391605

#SPJ2

I chose the first answer, was I correct?

Explain!

Answers

Answer: Yes, by SAS

Step-by-step explanation:

This is because, two sides are equal and one angle is equal.

And also there is one angle between 2 sides, so it’s SAS

Which equation represents a line which is parallel to the line 2x+y=-82x+y=−8?
y= 2x-1
y= -2x+1
y= 1/2x -6
y= -1/2x -5

Answers

Answer:

x=7 is the line parallel to the given line x=8 . Parallel lines are the lines which are always same distance apart and never intersect. The given line is x=8 with intersects the x axis at x=8 and it is parallel to y axis with slope infinite or not defined.

Step-by-step explanation:

Show all work. 5. Find the surface area of the composite figure.​

Answers

Answer:

        4130 m²

Step-by-step explanation:

[tex]2\cdot35\cdot20+2\cdot35\cdot15+2\cdot20\cdot15+2\cdot9\cdot18+2\cdot9\cdot21+18\cdot21=\\\\=1400+1050+600+324+378+378=4130\,m^2[/tex]

X A padlock's combination is five digits long using the digits o through 9. 0/4 Numbers can repeat within the combination. What is the probability that my combination has all even numbers in it (for example 22222 or 86840)? 0.01 w 0.03 0.05 Х O 0.1 Correct answer 0.03 OFC mooton Monday or Tuesday at 3PM 4PM​

Answers

Answer:

Before we discuss permutations we are going to have a look at what the words combination means and permutation. A Waldorf salad is a mix of among other things celeriac, walnuts and lettuce. It doesn't matter in what order we add our ingredients but if we have a combination to our padlock that is 4-5-6 then the order is extremely important.

If the order doesn't matter then we have a combination, if the order does matter then we have a permutation. One could say that a permutation is an ordered combination.

The number of permutations of n objects taken r at a time is determined by the following formula:

P(n,r)=n!(n−r)!

Example

A code have 4 digits in a specific order, the digits are between 0-9. How many different permutations are there if one digit may only be used once?

A four digit code could be anything between 0000 to 9999, hence there are 10,000 combinations if every digit could be used more than one time but since we are told in the question that one digit only may be used once it limits our number of combinations. In order to determine the correct number of permutations we simply plug in our values into our formula:

P(n,r)=10!(10−4)!=10⋅9⋅8⋅7⋅6⋅5⋅4⋅3⋅2⋅16⋅5⋅4⋅3⋅2⋅1=5040

In our example the order of the digits were important, if the order didn't matter we would have what is the definition of a combination. The number of combinations of n objects taken r at a time is determined by the following formula:

C(n,r)=n!(n−r)!r!

Four friends are going to sit around a table with 6 chairs. In how many ways could the friends sit?

Step-by-step explanation:

Find the solution of this system of equations. Separate the x- and y-values with a comma. x= -8+y -3x – 3y = 24 ​

Answers

Answer:

(-8,0)

Step-by-step explanation:

X=-8+y equation 1

-3x-3y=24 equation 2

-3(-8+y)-3y=24 sub x value in equation into x value of equation 2

24-3y-3y=24

-6y=0

y=0

solve for x

x=-8+y

x=-8+0

x=-8

check answer:

-3x-3y=24

-3(-8)-3(-0)=24

24-0=24

24=24

If a bag contains 12 apples, 4 bananas, and 8 oranges, what is the part-to-whole ratio bananas to all fruit?

Answers

Answer:

4:24

Step-by-step explanation:

12 + 4 + 8 = 24 and there are only 4 bananas. So, the answer is 4:24

hope that helps!!

Answer: 1 : 6

Step-by-step explanation: 4 over 24 equals 1/6th or 1:6 .

in which of the expression below does n=3 ? select all that apply.​

Answers

Answer:

B and C

if n=3 then 5ⁿ=5³=5×5×5=125

n³=3³=3×3×3=27

hope it helps :)

Which inequality is equivalent to −<7 - y < 7 ?

Answers

Answer: you didn't provide anything for us to answer

Step-by-step explanation:

What is the value of h(−3) when h(x)= 6x2 − 2x + 12?
72
342
48
−36
−306

Answers

Step-by-step explanation:

h(-3)=6×2 - 2(-3) + 12

12+6+12

=30

Kira can type 72 words in 8 minutes.
What is her rate in words per minute?

Answers

Answer:

9

Step-by-step explanation:

No.of words in

- 8 minutes = 72

- 1 minute = 72/8

                = 9

Answer:

9 words per every minute

Step-by-step explanation:

Theres 72 words in 8 minutes, so to get her words to minute, ratio you do 72 divided by 8 to get 9, words per minute.

What is the radius of a sphere with a volume of 90581 In3, to the nearest tenth of an
inch?

Answers

Answer:

27.9

Step-by-step explanation:

PLZZ HELP MEEEE PLZ PLZ I’LL MARK AS BRAINLIESTTT!!!!

Answers

Answer:

The object is moving at a constant speed

Step-by-step explanation:

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