A lost turtle - swimming 13 feet below the surface of the water - begins to ascend at 0.5 foot per second. In hopes of (harmlessly) capturing the turtle, a diver jumps into the water to a depth of 4 feet before descending at a rate of 0.25 foot per second.

a) Write an equation to model the position of the turtle at any given time.



b) Write an equation to model the position of the diver at any given time.



c) After how long will the diver be able to catch the turtle?



d) At what depth will the diver be able to catch the turtle?

Answers

Answer 1

9514 1404 393

Answer:

  a) T(t) = -13 +0.5t

  b) D(t) = -4 -0.25t

  c) 12 seconds

  d) 7 feet

Step-by-step explanation:

a) The turtle starts at -13 feet and increases its elevation relative to the water's surface by 0.5 ft/second. After t seconds, the turtle will be 0.5t feet closer to the surface, so its depth will be ...

 T(t) = -13 +0.5t

__

b) The diver starts at -4 feet and decreases their elevation relative to the water's surface by 0.35 ft/second. After t seconds, the diver will be 0.25t lower than the initial position, so their depth will be ...

  D(t) = -4 -0.25t

__

c) The diver and turtle will be at the same depth when ...

  T(t) = D(t)

  -13 +0.50t = -4 -0.25t

  0.75t = 9 . . . . . . . . . . . . add 13+0.25t

  t = 12 . . . . . . . . . . . . . . . divide by 0.75

The diver and turtle will be at the same depth after 12 seconds.

__

d) That depth will be ...

  T(12) = -13 +0.5(12) = -13 +6 = -7

The diver and turtle meet at a depth of 7 feet.

A Lost Turtle - Swimming 13 Feet Below The Surface Of The Water - Begins To Ascend At 0.5 Foot Per Second.

Related Questions

Help me what is the thing above n help TuT

Answers

Answer:

4. 12

Step-by-step explanation:

Dividing 45 with 4 gives you 11.25, the amount of miles per hour. Dividing 135 with 11.25 gives you 12.

The answer is 12! Sorry if it’s wrong though:)

Rewrite the expression in the form 5^n

(5^-8) (5^-10)

Please help :)

Answers

You re write the expression by using the negative exponent 1/5.18 or 10-13
I’m not sure but you have to rewrite it as like 1/5

What is the measurement of angle x (in degrees)?

Explain how you got your answer.

Answers

Answer:

120

Step-by-step explanation:

The answer 140° you just have to subtract the given measure from 180° hope this helps :)

-8(-6+2j) thank you it’s pretty easy

Answers

Answer:

48 - 16j

Step-by-step explanation:

Answer:

-16j+48

Step-by-step explanation:

Simplifying

Rearrange Terms

[tex]-8(-6+2j)\\-8(2j-6)\\[/tex]

Distribute

[tex]-8(2j-6)\\-16j+48[/tex]

PLZ ANSWER ASAP WILL MAKE BRAINLIEST FOR BEST ANSWER AND EXPLAIN YOUR ANSWER
There were 1,265 people at a boat show. After 1/5 of the adults and 1/3 of the children left, there was an equal number of children and adults at the show. how many people left the show?

Answers

Answer:

I think the answer is 171.

Step-by-step explanation:

Find the total amount of people that left the show. Convert 1/5 and 1/3 into fractions with common denominators. This makes 3/15 and 5/15. Add the two together and get 8/15. Divide 8 by 15 to find the percent of people that left. About 53%. Multiply 1,265 by .53 and you get 170.45 You can't have 45/100 of a person to do the rounding up to get 171. Check you work by subtracting 171 from 1,265 and get 1094. If you divide this by two you get 547. (547 kids, and 547 adults)

I am pretty sure this is right...I hope this helps!

Help me, please Thanks

Answers

Answer:

3, 9618, 152

Step-by-step explanation: pemdas -> parenthesis, exponents, multiply, divide, add, subtract.

3 1918 152 is what i got

Please help 15 points and brainliest!

Answers

C because the proportions are equal and multiplied by 4/4

Which of the following is a correct interpretation of the expression 2 - (-5)
A The number that is 5 to the left of 2 on the number line
B The number that is 5 to the right of 2 on the number line
C The number that is 2 to the left of -5 on the number line
D The number that is 2 to the right of -5 on the number line

Answers

Answer:

B

Step-by-step explanation:

when rewriting it, it would be 2+5 because subtracting a negative number is the  same as adding.

so it would be 5 to the right(since you are increasing/adding) to 2 (the beginning/starting point)

I believe B is the correct answer, I’m not sure so I’m sorry if it’s not.

Tristan is selling plastic and wooden picture frames. He sells 7 frames total. The number of plastic frames Tristan sells is 5 less than twice the number of wooden frames. How many of each type of frame does Tristan sell?

Answers

Answer:

4 wooden and 3 plastic

Step-by-step explanation:

4 (wooden) × 2 - 5 = 3 plastic

3 (plastic) + 4 (wooden) = 7 total

The number of plastic frames is 4 and the number of wooden frames is 3.

What is equation?

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given statement:

The number of plastic frames Tristan sells is 5 less than twice the number of wooden frames.

The total number of frames sold by Tristan is 7.

Write the equation for the above statement,

p = 2w - 5

Here, p is a plastic frame and w is a wooden frame,

p + w = 7

Solve the equation by using the elimination method,

p = 4 and w = 3

Therefore, the number of plastic frames is 4 and the number of wooden frames is 3.

To know more about equation:

https://brainly.com/question/12788590

#SPJ2

11(n-3)=-4

this is also for my friend

Answers

Answer:

Step-by-step explanation:

Answer:

Step 1: Simplify both sides of the equation.

11(n−3)=−4

(11)(n)+(11)(−3)=−4(Distribute)

11n+−33=−4

11n−33=−4

Step 2: Add 33 to both sides.

11n−33+33=−4+33

11n=29

Step 3: Divide both sides by 11.

11n

11

=

29

11

n=

29

11

Answer:

n=

29

11

Step-by-step explanation:

Given that the point (9,7) is on the graph of y=f(x), there is one point that must be on the graph of 2y=(f(2x)/2) + 2. What is the sum of coordinates of that point?

Answers

Answer:

Step-by-step explanation:

jjjjj

The graphical function representation of a function, represents the mapping of the domain of the function to the range of the function

The sum of the coordinates of the point is 7.25

The reason the above values are correct is as follows;

The given parameter is;

The point (9, 7) is on the graph y = f(x)

Required:

A point on the graph, 2·y = (f(2·x)/2) + 2

Solution:

Let x = 9/2, given that (9, 7), is on the graph, f(x), we get;

f(2·x) = f(2 × 9/2) = f(9) = 7

Therefore;

2·y = (f(2·x)/2) + 2 = (7/2) + 2) = 5.5

y = 5.5/2 = 2.75

y = 2.75

The coordinate of the point is (x, y) = (2.75, 9/2)

The sum of the coordinates of the point is 2.75 + 9/2 = 7.25

Learn more about functions here:

https://brainly.com/question/21222613

PLZ ANSWER ASAP WILL MAKE BRAINLIEST FOR BEST ANSWER AND EXPLAIN YOUR ANSWER

Three friends participated in a fund-raising project. Dexter collected 2/5 of the total amount. Carter collected $272 more than Jack. Jack collected $764 how much did the three of them collect altogether?

There were 1,265 people at a boat show. After 1/5 of the adults and 1/3 of the children left, there was an equal number of children and adults at the show. how many people left the show?

Answers

lmâo your all on your own with this one

Ben has a music book with 84 songs. He has learned how to play 25% of them. How many songs in the book does Ben NOT know how to play

Answers

Answer:

63

Step-by-step explanation:

This is because 25% of 84 is 21. He knows how to play 21 songs. 84-21=63.

63 is how many songs he does NOT know how to play.

Answer:

The answer is 63.

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

24% of 84 is 21. 84 - 21 = 63.

Jake and his older brother are canoeing in a creek near their home. If they paddle at a steady rate of 4 mph, how far will they travel in 3 hr.?

Answers

Answer:

12 miles

Step-by-step explanation:

mph = mile per hour

So if they travel 4 miles per hour, 4(3) = 12, they will travel 12 miles by 3 hours

Answer:

dude that's 12

Step-by-step explanation:

just multiply 4 mph times 3 hr

HELPPPPPPP!!!!! chose the one you would use pls

Answers

The answer is A! If 1/3 is gone, there’s 2/3 left. To find how much 2/3 is, you would multiply 80 by 2/3

Hector runs laps around the track. The table shows how long it takes him to run different numbers of laps. How long would it take Hector to run 7 laps?
A.35 minutes

B.25 minutes

C. 15 minutes

D. 45 minutes

Answers

You were supposed to put a picture of the graph
i don’t see a graph so i can’t answer

charlie gas a giant bag of gumballs . He gives half of what he has to his buddy jayden . He gives half of what's left to marinda . Then he gives half of what's left now to Zack . His mom makes him give 5 gumballs left . How many gumballs did charlie begin with ?

Answers

Answer:

8

Step-by-step explanation:

Answer40/2=20 20/2=10 10-5 = 5

Step-by-step explanation:

I hope this picture makes you feel better

Answers

haha thanks :) you made my day!

A student said, “To find the value of 109.2÷6, I can divide 1,092 by 60.”

Do you agree with this statement? Explain your reasoning.
Calculate the quotient of 109.2÷6 using any method of your choice.

Should I do what can 6 go into 1,10,109? or just do the whole thing? (But not the 2 yet)

Answers

Answer:

I agree with the statement.

Step-by-step explanation:

As long as both numbers are being multiplied by the same quantity, you will always end up with the same number.

Please help me I want to pull up my grade.

Answers

B c and d im sure hope this helps

A school allots £2500 to spend on a trip to the theatre.
Theatre tickets have a regular cost of £35 each and are on offer for
1/5off.
A train ticket for the day will cost £20 each.
If 3 teachers and the maximum number of students attend, how much money will the school have left over?

Answers

Answer:

Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off. A train ticket for the day will cost £20 each. If 3 teachers and the maximum number of students attend

Step-by-step explanation:

PLEASE, I NEED THIS NOW!!!!

Answers

Answer:

For the first one

x= About 32.02

y= About 27.58

z= About 55.16

For the second one

x= 6

y= 12

z= about 16.97

Step-by-step explanation:

Their all really simple

These are special right triangles, a 45, 45, 90 and a 30, 60, 90 triangle. The formla for these triangles are shown in the picture below.

Now for the first one ]

Lets find Z first

Now this is a 45 special right triangle so we know the other side s 39 but the hypotenuse is n[tex]\sqrt{2}[/tex] (I’m using N becuase x and y is taken) So n is basically 39 (look at the image below) and just solve that. Now for x and y. We know its a 30, special right triangle. We know that 39 here is already the answer for  N[tex]\sqrt{3}[/tex] so make an equation to find the n and you’ll get 27.58 for y. Now For x, its just doubled the y.

For the second one this is easier

We know that the x is (6) becuase its already in the radical number, now to find the hypotnuse, we double that and get 12. Now we know what y is becuase since the 2nd triangle is a 45/45/90, we know that 12 is y, the hypotnuse is just N[tex]\sqrt{2}[/tex] and we just plug in the n with 12 and solve it!

For everyone who answered, 6 divided by 3​

Answers

Answer:

2

Step-by-step explanation:

6/3 = 2

Answer:

2

Step-by-step explanation:

HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP DUE SOON

Answers

Answer:

ez

Step-by-step explanation:

For a all you have to do is multiply by 3 so the answer would be -15

For b all you have to do is subtract 12 then divide by -1 so the answer would be -0.5

for c all you have to do is divide by -10 so the answer would be -0.1/-10 or 0.1/10

Which equation represents a line that is parallel to the line whose equation is y=-3x?
A) 1/3x+y=4
B) -1/3x=y=4
C) 6x+2y=4
D) -6x+2y=4

Answers

the answer is C!! if you have any more questions you can ask here! ill try my best to help!

132-3 838 38 383

2838440505

Lars did some research on how much it would cost him to buy a gym membership.

At Murfield Country Club, a membership costs $20. Every time Lars goes to the gym he must pay an additional $30/hour.
At Pete’s Gym, it would cost Lars $80 for 2 hours and $120 for 3 hours.
a) Which of the two companies charges no initial fee? How do you know?



b) What is the slope of each line? (Murfield Country Club and Pete's Gym).

Slope for Murfield Country Club =

Slope for Pete’s Gym =



c) Write the equation for each line. (Murfield Country Club and Pete's Gym).

Equation for Murfield Country Club =

Equation for Pete’s Gym =

Answers

Answer:

A. it would be Pete's gym because he doesn't have to pay for a membership as well as paying $30 per hour he only has to pay for the hourly cost.

B. Lars-starts at 20 then goes to 50 then 80 ect... goes up by 30 starting at 20 because of the membership he payed.

Pete's- starts at 0 then to 40, 80, 120, 160 ect... goes up by 40 starting at zero.

C. MCC- 20+(30*y)

PG- 40*y

Step-by-step explanation:

Solve the volume for all these figures

Answers

Answer:

The formula for volume is length x width x height

A. 2x6x8=96 units^3

B. 1x7x4=28 units^3

C. 2x3x5= 30 units^3

D. 4x4x2= 32 units^3

E. 5x4x3= 60 units^3

Step-by-step explanation:

The graph below shows the number of dimes and nickels in a child’s piggy bank.
Which of the following is the best estimate for the number of each type of coin?

Answers

Answer:

60 dimes 35 nickels

Step-by-step explanation:

Ankur estimated the quotient of 15 and one-third divided by (negative 4 and two-thirds) to be 3. Which best describes his error?
Ankur multiplied the compatible numbers 15 and –3.
Ankur found that the quotient of a positive number and a negative number is negative.
Ankur found that the quotient of a positive number and a negative number is positive.
Ankur added the compatible numbers 15 and –3.

Answers

Answer:

123/78

Step-by-step explanation:

Answer:

its C, Ankur found that the quotient of a positive number and a negative number is positive.

Step-by-step explanation:

i got it right on edge

Jaimi went to have a manicure that cost $30. She wanted to tip the technician 30% and the tax was 5.75%. How much did she spend total for the manicure

Answers

Answer: $41.24

Step-by-step explanation: Hope this helped.

The answer is $41.24 I think
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