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?

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:

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:

Answer:

120

Step-by-step explanation:

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.

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:

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Answer:

3, 9618, 152

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

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

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

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.

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]

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!

Answer:

2

Step-by-step explanation:

6/3 = 2

Answer:

2

Step-by-step explanation:

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!

Answer: $41.24

Step-by-step explanation: Hope this helped.

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

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)

132-3 838 38 383

2838440505

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.

Answer:

8

Step-by-step explanation:

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

Step-by-step explanation:

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:

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:

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Answer:

60 dimes 35 nickels

Step-by-step explanation:

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.

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: