1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mila [183]
3 years ago
12

A particle moves on the hyperbola xy=15 for time t≥0 seconds. At a certain instant, x=3 and dx/dt=6. Which of the following is t

rue about y at this instant?
Mathematics
1 answer:
Aleks [24]3 years ago
4 0

Answer:

y is decreasing by 10units per second

Step-by-step explanation:

Given xy = 15

If x = 3

y = 15/3

y = 5

dx/dt= 6

Differentiating xy = 15 implicitly with respect to t using product rule

x

xdy/dt + ydx/dt = 0

Substitute the given value into the expression and solve for dy/dt as shown:

3dy/dt + 5(6) = 0

3dy/dt + 30 = 0

3dy/dt = -30

Divide both sides by 3

(3dy/dt )/3 = -30/3

dy/dt = -10

This means that y is decreasing by 10units per second (it is decreasing because of the negative sign)

You might be interested in
Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solut
givi [52]
10%=30 15%=20 I hope this helps <3
3 0
3 years ago
What is the y-value of the solution to the system of equations?
alukav5142 [94]

Let's solve for x first,


3x + 5y - 5y = 1 - 5y

3x/3 = 1/3 - 5y/3

x = 1/3 - 5/3y


Let's now plug that into the other equation,


7(1/3 - 5/3y) + 4y = -13

7/3 - 35/3y + 4y = -13

7/3 - 7 2/3y - 7/3 = -13 - 7/3

- 7 2/3y (-3/23) = -15 1/3 (-3/23)

y = 2



The answer is 2

4 0
3 years ago
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*.. <br> IM GIVING 40 POINTS !! DONT SKIP :((.
Liula [17]

Answer:

C

Step-by-step explanation:

Evolution is where organisms have developed over time from simple to complex. Therefore we can rule out D because older rock layers should have simple organisms and A because new rock layers should have more complex organisms. The previous organisms will be unlike those of today, therefore the correct answer is C.

7 0
3 years ago
A fish was swimming 2 ½ feet below the water's surface at 1:00 pm. Three hours later, the fish was at a depth that is 3 ¼ feet b
IgorC [24]

Answer:

The fish will be at a distance of 5 3/4 ft from the water surface at 4:00 pm

Step-by-step explanation:

Here, we want to find a rational number that represents the position of the Fish at 4pm

Initially it was at a depth of 2 1/2 ft below the water surface

At 4pm, it went 3 1/4 ft further

Thus, its position with respect to the water surface at 4 pm will be;

2 1/2 + 3 1/4

= 5/2 + 13/4 = (10 + 13)/4 = 23/4 = 5 3/4 ft

6 0
3 years ago
X + 5y =100<br> x +y = 60<br> Which ordered pair is the solution of the system?
Simora [160]

Answer:

lets start with the easy equation. X+Y=60. so we take 60 and subtract Y to get X by itself. meaning X = 60-Y. every time we see X replace with (60-Y).

X + 5Y = 100 change to

60-Y+5Y = 100

5Y - Y = 4y.

60+4Y = 100. 100 minus the 60 = 40. 4Y=40. divide by 4. Y = 10. ok so now we solve for X. X + Y (or 10) = 60. 60-10 = 50. X = 50.

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Trigonometry
    15·1 answer
  • A top speed a coyote can run at a speed of 44 miles per mile if a coyote could maintain its topp speed how far could it run in 1
    5·1 answer
  • You have money in your wallet, but you don't know the exact amount. When a friend asks you, you say that you have 100 dollars gi
    5·1 answer
  • What rule matches the function represented by the table? ​
    6·1 answer
  • Write an equation of the line that passes through the points (1,4), (3,7)​
    15·1 answer
  • A two-factor study with 3 levels of factor A and 3 levels of factor B uses a separate sample of 10 participants in each treatmen
    11·1 answer
  • Consider the graph below of a piecewise defined function.
    12·2 answers
  • What values of x will satisfy the inequality 4x + 2 &gt; 10?
    11·2 answers
  • Anyone know how to do this
    12·1 answer
  • Can i get some help ill give brainliest if answers are correct
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!