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

need help on geomtry

Answers

I think it’s 61, I’m sorry if I get it wrong. Not a 100% sure

Rachel had 36 quarters. If it costs 4 quarters for each coke from a coke machine, how many could she buy?

Answers

Answer:

9 cokes

Step-by-step explanation:

36 divide 4 = 9

At local bakery Jonah decorated 3 cakes at a time. Ellen decorated 7 at a time. If they ended up decorating the same number of cakes by the end of the day, what is the smallest number of cakes that each must have decorated?​

Answers

I honestly don’t know I’m sorry

Can someone help me pleaseeee

Answers

Answer:

For 20 tickets its 35 dollars

For 50 tickets its 87.50 dollars

For r tickets its 140 dollars

Step-by-step explanation:

Please help me with this.

Answers

Answer: Angles: 42°, 114°, 24°, 30°, 150°.

Step-by-step explanation:

HELP WILL GIVE BRAINLIEST!!!!!
Write an inequality for the situation.

Karen has at least 7 dresses.

Answers

Answer:

At least 7  <  She had 15

I think 7 cause she had 15

Which expression is shown in the table above?

Answers

Answer:

Step-by-step explanation:

A

Simplify the expression, write in expanded form and exponential form.

Answers

Answer:

225 x a^4

Step-by-step explanation:

Can somebody help me out my grade are bad

Answers

Answer:

use ph0tomath it'll answer it for you and show how to do it

Y=3

Since X is equal to 5, we can substitute and do 5+Y=8 then we subtract 5 from both sides and are left with 3

PLS ASAP HELP I WILL GIVE BRAINLIEST
What are the
focus and directrix
of the graph of
y=1/16x^2?

Answers

Answer:

Look Below

Step-by-step explanation:

y=1/16x^2

multiplying both sides by 16 we get:

16y=x^2

The general form of a parabola is:

(x-h)^2=4p(y-k)

thus

4p=16

p=4

The parabola opens upwrd:

Focus: (h,k-p)

(0,0-4)

=(0,-4)

Directrix: y=-4

please answer it would rly help me out

Answers

i think the answers would be
four outcomes (bc four colors)
and
a 36% chance of grabbing a blue marble (4blue/11total)
4 total outcomes

33.333% or 1/3 chance at blue

When the function is given in vertex form y = a(x-h)? + k, how is the vertex found?
a. (kh)
b. (x,y)
c. (h,k)
d. (y,x)

Answers

Answer:

c. (h, k)

Step-by-step explanation:

whats the quadratic curve of best fit for the data. estimate what the value of will be when = −4.
(−3,2), (0,5), (1,7.3), (−1,3.3), (−6,5), (−7,7.3)

Answers

Answer:

64 is 4 times the difference between Sarah's age, a, and 44Assume Sarah is older than 44

Step-by-step explanation:

The school library has 300 books on the topic of
sports. Students have checked out seventy-four
of those books. How many books on the topic
of sports still remain in the library?

Answers

226 Sports Books! Hope you have an amazing day!

Step-by-step explanation:

226 sports book have a good day


10 in
a
8 in
B
Can someone please help me

Answers

Answer:

4 in use pythagorean theorem

Step-by-step explanation:

List one way a parallelogram and a rhombus are different​

Answers

A rhombus has sides that are all the same length. A parallelogram has two pairs of parallel sides, but the lengths of can be different lengths as long as opposite sides are equal.

A hibernating animal lost 7 pounds.
Write a signed number to represent this weight change.
0

Answers

Answer:

sorry po Hindi ko Alam ang answer

Help plz..And No links!! I repeat No links!! If you don’t know the answer don’t saying anything this is important

Answers

Answer:

1500

Step-by-step explanation:

7 plus 8 equal 15 and add two zeros at the end

Answer:

659.73

Step-by-step explanation:

A=2πrh+2πr2

Marking brainliest


What is your favorite form of getting exercise?

Answers

Answer: Playing sports!!

PLS SOMEONE HELP ME FIND THE MISSING ANGLES

Answers

Answer:

X=50

Y=40

Step-by-step explanation:

A straight line has an angle of 180 of its both side. 130+x=180

X=50

Y+x+90=180

Y+140=180

Y=40

Answer:

x = 50 degree

y = 40 degree

Joshua mowed yards in his neighborhood to make some money. He charged 4 neighbors $60 each since they hard large yards, 3 neighbors $40 each who had medium sized yards, and 2 neighbors $20 each who had very small yards. How much money did Joshua make? Show your work.

Answers

Joshua made $400.

4 * $60 = $240
3 * $40 = $120
2 * $20 = $40
$240 + $120 + $40 = $400

find YZ pls fast correct

Answers

Answer:

44

Step-by-step explanation:

According to intersecting chords theorem:

21(2x - 6) = 30(x + 1)42x - 126 = 30x + 3042x - 30x = 126 + 3012x = 156x = 156/12x = 13

Find the value of YZ:

YZ = 30 + 13 + 1 = 44

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{21(2x - 6) = 30(x + 1)}[/tex]

[tex]\large\textsf{21(2x) + 21(-6) = 30(x) + 30(1)}[/tex]

[tex]\large\textsf{21(2x) = 42x}[/tex]

[tex]\large\textsf{21(-6) = -126}[/tex]

[tex]\large\textsf{30(x) = 30x}[/tex]

[tex]\large\textsf{30(1) = 30}[/tex]

[tex]\large\textsf{42x - 126 = 30x + 30}[/tex]

[tex]\large\text{Put ALL your LIKE TERMS TOGETHER}[/tex]

[tex]\large\text{NEW EQUATION: \textsf {42x - 30x = 126 + 30}}[/tex]

[tex]\large\textsf{42x - 30x = 12x}[/tex]

[tex]\large\textsf{126 + 30 = 156}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{12x = 156}}[/tex]

[tex]\large\text{DIVIDE 12 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{12x}{12}=\dfrac{156}{12}}[/tex]

[tex]\large\text{CANCEL out: } \mathsf{\dfrac{12}{12}}\large\text{ because that gives you 1}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{156}{12}}\large\text{ because that helps you solve for your the given equation} \\\\\large\text{and your YZ result}[/tex]

[tex]\mathsf{\dfrac{156}{12}=\bf 13}[/tex]

[tex]\large\text{NEW and FINAL EQUATION: \textsf{30 + 1 + 13}}[/tex]

[tex]\large\textsf{30 + 1 + 13}[/tex]

[tex]\large\textsf{30 + 1 = \bf 31}[/tex]

[tex]\large\textsf{= 31 + 13}[/tex]

[tex]\large\textsf{= \bf 44}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf YZ = 44 }}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Find the missing length indicated.
Your answer

Answers

Answer:

x = 12

Step-by-step explanation:

For the middle size triangle

short leg = x

long leg = (25 - 9) = 16

ratio = x/16

For the small triangle

short leg = 9

long leg = x

ratio = 9/x

Similar triangles are proportional so

Set the ratios equal

x/16 = 9/x

Cross multiply

x² = 144

Take the square root of both sides

x = 12

Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stops to see how much farther he has to go. If Yan made 8 stops with no extra steps, which expression best shows another way to write the product of the number of ladder rungs that Yan climbed?

Answers

Answer:not A

Step-by-step explanation:

Answer:

stop waiting and do the next question

Step-by-step explanation:

common sense

can someone please answer all 3 parts to this question with work? will give brainliest

Answers

just use pythagoras theorem!! do clarify if you don’t understand! hope this helps!

I WILL FIVE BRAINLESS TO THE PERSON THAT ANSWER THIS CORRECTLY



Even wants to make a kneeling pad cushion for when he is this a surface area or volume problem. How much
gardens for long periods of time. It will have the fabric will he need?
Gimensions shown. How much fabric should he buy to surface area, 336 in
cover the cushion?
surface area, 440 in 2
volume, 336 in
volume, 440 in?
12 in
2n
14 in

Answers

Answer:

440

Step-by-step explanation:

this is the formula 2(wl+hl+hw)

Answer:

44 in2 your welcom

Step-by-step explanation:

Which object has a capacity that is best measured in pints

1.swimming pool
2. Water Bottle
3. Soup Spoon
4.Trash Barrel
HURRY PLZ I WILL GIVE U BRAINLEST

Answers

Trash barrel bc it makes sense

Jane found 5 seashells on the beach. Ruby found twice as many as Jane. How many shells did they find together?

Answers

Answer:

They found 15 shells

Step-by-step explanation:

First, multiply. 5 × 2 = 10

Then, add. 5 + 10 = 15

Lastly, have a great day!

15 seashells Jane has 5 ruby has twice as many so 5 x 2 = 10 put them together to get 10+5=15

maya cuts a piece of wood into two parts, the first part is 25 cm longer than the second part, .the original length of the wood is 85 cm.how long is each part of the wood?​

Answers

85=x +25+x
85=2x +25
60=2x
30=x
So the smaller piece of wood is 30 cm: the other piece is 55cm long

Lincoln had 2 books in his backpack One book had a mass of 3 pounds , 7 ounces and the other mass of 2 pounds 10 ounces what was the total mass , in ounces of the book?

Answers

2+3+7+2+10= the answer

Other Questions
Vasco da Gama fulfilled this man's dream when he reached India in 1497.MagellanPrince HenryColumbus Please, real answers.My teacher only taught this to 2 kids, please help me so I don't snap from stress How did the phonograph Change Americans lives?How did the phonograph affect American history? Explain In 3-5 sentences.Please help!!! How many minutes are in 3 5/12hours? Consider this expression (x+9)(x-2)-9_6 What expression is equivalent to the given expression What was the major impact of Israel defeating the Arab nations in the Six-Day War? Determine the unknown measures of the triangle shown. Round to the nearest tenth, if necessary. x = in. y z A right triangle is shown. The hypotenuse has a length of x. The other 2 sides have lengths of 24 inches and 7 inches. The angle opposite to the side with length 7 inches is y, and the angle opposite to the side with length 24 inches is z. What is one way in which the United States acquired land in Spanish owned Florida?as part of the Monroe Doctrineas part of the Louisiana Purchaseby seizing Mobileby invading Spain in Europe Which of the following is not true about the Korean War?A. It was the first war America didn't win.B. It was the first war of the Cold War.C.It was the first time the United Nations had to use troops.D. It was the only war fought to contain communism. ***ANSWER QUICK PLS****A car travels 322 miles in 5 hours and 45 minutes. How many miles dose it have to travel per hour? What is the area of the circle below? Use pi = 3.14 and type in all of the decimal places. SOMEONE HELP ME PLSI ATTACHED A PIC Which of the following best reflects accurate views on the Articles of Confederation? Find the area in square inches. Which of the following answer choices best explains what process lead to each cells' unique structuresand functions?Choose 1 answer:A series of specific mutations allowed the brain and kidney cells to become specialized for thestructures and functions they possess.BApoptosis allowed the brain and kidney cells to become specialized for the structures andfunctions they possess.Differentiation allowed the brain and kidney cells to become specialized for the struct andfunctions they possess.During fertilization, a sperm cell fused with an egg cell, resulting in a zygote. Which is the best estimate for the capacity of a kitchen sink?Which is the best estimate for the capacity of a kitchen sink? A.2,000 litersB.200 litersC.2 liters D. 20 liters Find the missing side length Suppose that Ava withdraws $300 from her savings account at Second Bank. The reserve requirement facing Second Bank is 10%. Assume the bank does not wish to hold any excess reserves of new deposits. Use this information to complete the balance sheet below to show how Second Bank's assets and liabilities change when Ava withdraws the $300 from the bank. Instructions:Write your answers as a whole number. If you are entering any negative numbers be sure to include a negative sign (-) in front of those numbers.A Simple Bank Balance Sheet Assets LiabilitiesChange in Reserves: Change in Deposits: Change in Loans: Which of the following describes the relationship between genes and chromosomes? Select one:Every gene an organism has is found on every one of its chromosomes.Genes are special sequences of nucleic acids found on chromosomes.All of an organisms chromosomes can be found next to its genes in the cell nucleus.Chromosomes form into genes during cellular reproduction. easy math no scam links