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
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.
Related Questions
Please help me I will give you the brain thing and extra points (image below) 3/5
Answers
I got -1 5/43, did i mess something up?
Answers
Answer:
I'm pretty sure the answer is -0.25
Let x represent the number of adults entering the movie theater and let y represent the cost,in dollars,of admission to the movie theater.Write an equation to illustrate the relationship between the number of adults entering the theater and the cost in dollars for admission
Answers
use Sigma notation to represent the sum of the first seven terms of the following sequence -4, negative 6, negative 8
Answers
Answer:
Sigma means summation and here the common difference is of -2 you so write
Step-by-step explanation:
€ from i equals -4 to - 16 into sigma r
PLZZZ HELP MEEEE
Select all the expressions that can be used to find the price of a $400 telescope after a 32% markup.
A:400 • 0.32
B:400 • 3.2
C:400 • 1.32
D:400 + 400(0.32)
E:400 • 400(1.32)
Answers
Answer:
it is b i had this question
Step-by-step explanation:
help me I don't get it
Answers
Answer:
what is it that you dont get?
Step-by-step explanation:
Solve The System By Graphing!!
Answers
______________
Answer:
(3,6),(-1,-2)
Step-by-step explanation:
2. Li bought five lip balms. Each lip balm costs the same amount. She spent a total of $7.25.
(a) Write an equation that represents the situation. Use c to represent the cost of each lip balm.
(b) Represent the equation with a model.
(c) Solve and justify your solution.
Answers
Answer:
a) 5xd=7.25 d=dollars
b) 7.25/5=d
c)7.25/5=1.45
Step-by-step explanation:
Answer:
5 times 7.25=C
Step-by-step explanation:
Then all you need to do is multiply and you will get 36.25
I hoped this help and little I didn't understand everything you meant.
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
Carlyle buys 120 baseball cards every year. Which equation represents this proportional relationship?
y = 120 + x
y = 120x
y = x
y = 120
Answers
Answer:
Y=120x
Step-by-step explanation:
I hope it helps.
I hope this helps :)
A line passes through the points (1, 4) and (3, –4). Which is the equation of the line?
Answers
First you need to find the slope of the line.
The slope formula is m = y2-y1/x2-x1
If you plugged in the points it would be m = -4-4/3-1
so m = -8/2 = -4
so the slope is -4
now we need to write the equation of the line
for this u use point slope form
the formula for that is y-y2=m(x-x1)
so if you plug it in it would be:
y-(-4)=-4(x-3)
now you solve
y+4=-4x+12
y+4-4= -4x+12-4
y = -4x + 8
and now you have the slope of the line
I hope this helps! :)
17 POINTS PLEASE HURRY !!
Answers
Answer:
B
Step-by-step explanation:
Hope this helps!
Answer:
The answer is D because it's a random group that you would have no way of knowing if they do or not, while if he asks group A, they all would like it, for group B that's how many play for the school, not how many enjoy watching it. and for group C, there could be people who wanted to come but they had other things they had to do. so D would be the best answer.
Step-by-step explanation:
Brad has walked 4/9 of his goal distance this month. If his goal is 27 miles, how many miles has Brad walked
Answers
Answer:
12 miles
Step-by-step explanation:
you would multiply 4/9 by 27 and you would get 12 miles in total.
Which expression has a value that is equal to the given expression when n = 8? 2n + 10 A. 3n
B. 10n + 2
C. n² + 5
D. 2(n+5)
Answers
Answer:
D.
Step-by-step explanation:
2n + 10
When n = 8 we have
2*8 + 10
= 16 + 10
= 26.
When n = 8:
2(n + 5)
= 2(8 + 5)
= 2*13
= 26.
So it's D.
Answer:
D. 2(n+5)
Step-by-step explanation:
I took the test (5.02 quiz)
What is the slope of the line that passes through the points (4, 6)(4,6) and (-16, -18) ? (−16,−18)? Write your answer in the simplest form.
Answers
The slope of the line that passes through the points (4, 6)(4,6) and (-16, -18) is to be considered as the 1.2.
Calculation of the slope of the line:here we used the following formula
So,
[tex]= y_2-y_1\div x_2-x_1[/tex]
So,
-18-6=-24
And,
-16-4=-20
Now
[tex]= -24\div -20[/tex]
= 1.2
Hence, The slope of the line that passes through the points (4, 6)(4,6) and (-16, -18) is to be considered as the 1.2.
Learn more about slope here: https://brainly.com/question/19062904
The slope of the line that passes through the points (4, 6) and (-16, -18) is; 6/5.
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line. Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.
[tex]m = \dfrac{y-q}{x-p}[/tex]
Given that the line that passes through the points (4, 6) and (-16, -18)
WE need to find the slope of the line.
Since, [tex]m = \dfrac{y-q}{x-p}[/tex]
Therefore, m = -18 - 6 / -16 - 4
m = 24 / -20
m = 6/5
Hence, The slope of the line that passes through the points (4, 6) and (-16, -18) is; 6/5.
Learn more about slope here:
https://brainly.com/question/2503591
#SPJ2
To subtract integers you…
Pls, tell me the steps to subtract integers IN YOUR OWN WORDS PLS.
Answers
Answer:
Steps on How to Subtract Integers!
1. Keep the first number!
2. Change the operation from subtraction to addition!
3. Get the opposite sign of the second number!
4. Proceed with the regular addition of integers!
Step-by-step explanation:
1. Don't change the first number
2. Change subtraction to addition
3. Get the opposite sign of the subtrahend
4. Go with the normal addition of integers
Which is true about the solution to the system of inequalities shown? y > 3x + 1 y 3x + 1 are solutions. Only values that satisfy y 3x + 1 or y < 3x – 3 are solutions. There are no solutions.
Answers
Answer:
there are you just got to find them
HELP!!! WILL GIVE BRAINLIEST
Answers
Answer:
a
Step-by-step explanation:
Answer:
ok so the answer is 2.4 and btw im back :D
Step-by-step explanation:
NEED HELP ASAP
WILL GIVE BRAINLY
PLEASE I NEED THIS
Answers
6/7 2/2 in simple form
Answers
Answer:
6/7 simplest form is 6/7
2/2 simplest form is 1/1
Tell me if wrong!
Step-by-step explanation:
On the map below, city p and city q are 5.5 centimeters (cm) apart. What is the actual distance between city p and city q? 2cm= 35 miles
Answers
Answer:
96.25
Step-by-step explanation:
5.5/2=2.75
2.75x35=96.25
Meaning ONE centimeter is 35/2, or, 17.5 miles of actual distance
And half, or 0.5 of a centimeter is 17.5/2 or 35/4, which is 8.75 miles
5 centimeters is 2 + 2 + 1 + 0.5
(35 miles) plus (35 miles) plus (17.5 miles) plus (8.75 miles) which would add up to be 96.25 miles
Write the value of each expression
1. -8(3)
2.5(-2)
3.2(-1)(14)
Answers
Step-by-step explanation:
(-8) * 3 = -24.
5 * (-2) = -10.
2 * (-1) * 14 = -28.
Answer:
1. -21
2. -10
3. 8
2 and 1/4 divided by 1/8
Answers
Answer:
18
Step-by-step explanation:
2 1/4/ 1/8
9/4 x 8
9 x 2
18
(1) x + 4 > 8. If you need to solve for x, what's the first step?
(A) Subtract x from both sides. incorrect answer
(B) Subtract 4 from both sides. incorrect answer
(C) Subtract 8 from both sides. incorrect answer
(D) Add x to both sides.
Answers
Answer:
b
Step-by-step explanation:
true or false:
1. 7 = (-5) - (-12)
2.The difference between -5 and -12 is equal to (-5) - (-12)
3.The difference between -12 and -5 is equal to (-5) - (-12)
4.(-5) + 12 = (-5) - (-12)
5.(-5) + (-12) = (-5) - (-12)
Answers
true
false
true
false
Answer:
1. True
2. False
3. False
4. True
5. False
Step-by-step explanation:
1. 7 = (-5) - (-12)
7 = -5 + 12
7 = 7
2. -5 - 12 = -17
-5 - (-12) = 7
3. -12 - 5 = -17
-5 - (-12) = 7
4. 7 = 7
5. -17 = 7
When 1480 is divided into 12 equal parts, the remainder is 4. What is a correct way to write the quotient?
123.4
1234 over 12
123 + 4
1234 over 1480
Answers
Answer:
123 + 4
Step-by-step explanation:
whenever there is a remainder you write something + the remainder
The rate to rent a truck for a day is a one-time fee of $35 and $0.20 per mile.
Write an expression to model this situation.
How far could you travel if you drove 40 miles?
Answers
Answer: y= $0.20x + $35 or y= $0.20 * 40 + $35 (Depending on what you mean)
Step-by-step explanation:
The equation for these types of problems is y = mx + b.
M would be $0.20, because that is the value that can repeat, based on x. For example, if this was 2 dollars per mile (m) for 3 miles, (x) than y, the total amount for mx would amount to 6 dollars.
Now, 35$ Is a one time fee (b), so you can add that separately to $0.20x.
If you plug everything in, you would get y= $0.20x + $35.
I am not very sure about what you mean by “ How far you could you travel if you drove 40 miles”, but if you mean how much would you pay to drive 40 miles, I can help there.
Now that we know x would be the amount of miles, we can plug that into the equation.
You would get y= $0.20 * 40 + $35.
Sorry, I’m not that good at explaining, but I hoped this helped!
It would cost $43 to travel 40 miles
Lucita does the division problem 3.302 ÷ -1.27, and gets -0.026. She doesn't understand this result because she had estimated the answer to be -3. What was Lucita's mistake?
A: Lucita's estimate is too low.
B:The decimal point should be to the left of the 2.
C:The decimal point should be to the left of the 6.
D:Lucita's estimate is too high.
Thank you to those who end up helping, xx
Answers
So that leaves A eliminated.
It shouldn't be B because, you have to count the numbers to the left of the decimal.
So that leaves B eliminated.
Let's talk about D, Her estimate is too high. But, take a risk. Either choose C or D. Good luck! I really think this would help thanks to my dad's method.
Match the inequality to the correct verbal description. "n is less than the difference of 40 and 60.
A.n<40-60
B.n>40-60
C.-40>60
D.n-60<40
Answers
please help ill give brainliest
Answers
Answer:
-1
Step-by-step explanation:
its -1 because negative * negative is positive. so make the -10 a 10 and subtract 3 and boom you have 7.
Hope this helps ya
Answer:
S= -1
Step-by-step explanation: