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
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:
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Answer:
5 1/3
Step-by-step explanation:
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Answer:
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Step-by-step:
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Answer: -8r+12
Step-by-step explanation:
============================================
Explanation:
The outer term -2 is multiplied by each term inside
-2 times 4r = -8r-2 times -6 = 12Then those results are added to get -8r + 12 as our final answer. We cannot combine these terms because they are not like terms.
I used the distribution property, also known as the distributive property.
That says a*(b-c) = a*b - a*c
In this case, a = -2, b = 4r, and c = 6.
Select three statements that are true.
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Use the distributive property to write an equivalent expression for 2(x + 6)
Answers
Answer:
2x + 12
Step-by-step explanation:
Multiply 2 by everything inside of the parentheses
Answer:
2x+12
st it's glitching but there is e
Tengo ___ . Necesito agua.
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Answer:
sed
Step-by-step explanation:
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Answer:
What does that mean?
Step-by-step explanation:
on a map the distance between New york and philadelphia is 10.25 inches. if 2 inches equals 16 miles, what is approximate distance between the two cities
Answers
First picture is just information second picture please answer I will mark brainliest
Answers
Answer:
2329
Step-by-step explanation:
Answer:
2329 cups are left at the end of the week
Step-by-step explanation:
−15x−40=23−8x
What does x =
Answers
Answer:
x = -9
Step-by-step explanation:
-15x - 40 = 23 - 8x
Add 8x to both sides
-15x + 8x - 40 = 23
-7x - 40 = 23
Add 40 to both sides
- 7x = 23 + 40
-7x = 63
Divide both sides by (-7)
x = 63/-7
x = -9
Answer:
x = -9
Step-by-step explanation:
-15x - 40 = 23 - 8x
add 8x to both sides to bring -8x to the left side
-15x + 8x - 40 = 23
add 40 to both sides to bring -40 to the right side
-15x + 8x = 23 + 40
add the common terms
-7x = 63
for x to be alone divide -7 to both sides
x = -9
I hope this helped!
Alyssa bought a dress for $52 and 3 pairs of jeans. She paid a total of $125. Write an equation to represent this word problem
(PLS ANSWER SERIOUSLY, I WILL GIVE A BRAINLY CROWN TO WHOEVER ANSWERS RIGHT)
Answers
Answer:
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Step-by-step explanation:
If the dress is $52 all you have to do I subtract the total ($125)from the amount the dress was, which is 76
Answer:
125-52/3
Step-by-step explanation:
1. 125 -52 = 73
2. 73/3 = 24.3
To compare their bike times, the friends created a table that shows the difference between each person's time and the average bike time. Order the bike times from least to greatest.
Answers
Explain how you can find the volume of the figure below. Then, solve- what is the volume of the figure? Make sure to include your units
Answers
Answer: a) The figure can be reasonably divided into two geometries:
• a rectangular prism
• a hemisphere.
b) The volume of the rectangular prism is given by
V = lwh
V = (10 cm)(5 cm)(4 cm) = 200 cm³
The volume of the hemisphere is given by
V = (2π/3)r³
V = (2π/3)(3 cm)³ = 18π cm³
c) The total volume of the figure is
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V = 200 cm³ + 18π cm³
V ≈ 256.549 cm³
Step-by-step explanation:
will mark brainliest!! 7th grade math!!
Answers
Two pools were being filled. Pool A was being filled 1/8 of a gallon in 1/12 of a minute, and pool B was being filled at 3/8 of a gallon in 1/9 of a minute. Which pool is being filled up faster?
Answers
V=d/t
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Common denominator:
3/2=1 1/2 and 27/8= 24 3/8
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I hope my answer is correct. sorry if not
Answer:
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Step-by-step explanation:
17 POINTS PLEASE HURRY !!
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Answer:
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Step-by-step explanation:
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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:
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it is B because the numbers are repeating on the y axis
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Answer:
a) 7(h-2)=56
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Step-by-step:
The points graphed are (0,-2) and (-1,1)
We can see that the point goes up by 3 and left by 1. Because the line is in hemispheres 2 and 4 mostly, it is a negative line.
The equation to find the coefficient of the variable x is rise/run. The line rises up three, and runs left negative. This makes that equation 3/-1, or simply -3 when simplified.
To find the term, we have to find where the line crosses the y axis. That’s when the x value of the point is 0. (0,-2) is where the line crosses the x axis, making the term -2.
So, y= -3x - 2
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4. 2b - 11
Answer:
y=28.4x
Step-by-step explanation:
sorry I couldnt do the rest I'm in a rush
There are 5 friends who decide to split an 88- ounce bag of popcorn. If they split it evenly, how many ounces of popcorn will each friend get?
Solution:
Number Model:
Explain what you did with the remainder and why.
Answers
Answer:
17 remainder 3
Step-by-step explana
17 * 5 = 85
88-85=3
3s the remainder bc 3 popocorn cant be split by 5 ppl
just leave the remainder in the bag
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The table shows the length of caught by the friends at the lake last weekend.
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Step-by-step explanation: Emily =12.60 and Anne =12.25 Emma = 12.10
Answer:
emma, emily, anne
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y e s
Simplify the expression by distributing and combining like terms.
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Step-by-step explanation:
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• Then he ran 3 laps around the school track. Each lap is 0.25 miles.
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Answers
The original price of a scarf was $16. During a store-closing sale, a shopper saved $12 on the scarf. What percentage discount did she receive? Explain or show your reasoning.
Answers
Answer:
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Step-by-step explanation:
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X-Y=3
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Answers
Answer:
abcdefg
Step-by-step explanation:
Answer:
x = 14
y = 11
Step-by-step explanation:
x - y = 3
2x + 2y = 50
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4x = 56
Divide each side by 4 to leave x alone.
x = 14
Now that we know the x value, take one of the equations in the question and plug it in. I am going to use the equation x - y = 3 to make it easier.
14 - y = 3
-y = 3 - 14
-y = -11
y = 11
Now we know that y = 11.
I hope this helps!
Really easy for high schoolers (The first correct answer gets brainliest! )
Answers choices:
-18
-14
-6
-2
0
2
6
14
18
Answers
Answer:-18
Términos en este conjunto (8)
Original
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cierto
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falso
Step-by-step explanation: