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
irina [24]
2 years ago
8

Assume that y varies inversely as x. If y=6 when x=-4, find x when y= 12/5

Mathematics
1 answer:
yawa3891 [41]2 years ago
3 0
This answer is : Y=2.4
You might be interested in
An object is launched directly upward with an initial velocity of 64 feet per second from a platform 80 feet high. What will be
LekaFEV [45]

Answer:

a) 63.6 ft

b) 1.99 seconds

c) 4.98 seconds

Step-by-step explanation:

a) The object will reach maximum height when its final velocity, v, is 0 m/s.

We apply one of Newton's equations of motion to solve this:

v^2 = u^2 - 2gh

where u = initial velocity = 64 ft/s

g = acceleration due to gravity = 32.2 ft/s

h = height reached by object.

Note: the equation has a negative sign because the object is going upwards, against gravity.

Hence:

0^2 = 64^2 - 2*32.2*h\\\\=> 64.4h = 4096\\\\h = 4096 / 64.4\\\\h = 63.6 ft

The object is now 63.6 ft above the platform (143.6 ft above the ground).

b) Time taken to get to that height can be gotten by using another one of Newton's equations:

v = u - gt

=> 0 = 64 - 32.2t

32.2t = 64\\\\=> t = 64 / 32.2 \\\\t = 1.99 secs

It took the object 1.99 secs to get to that height.

c) When the object begins falling to ground level, it is at a height, h =  143.6 ft and begins moving at initial velocity, u = 0 m/s.

Applying another of Newton's equations of motion, we have that:

h = ut + \frac{1}{2}gt^2

where t is the time taken to hit the floor after it begins its descent.

Therefore,

143.6 = 0*t + \frac{1}{2}*32.2t^2\\ \\143.6 = 16.1t^2\\\\t^2 = 143.6 / 16.1\\\\t^2 = 8.92\\\\t = \sqrt{8.92} \\\\t = 2.99 secs

This is the time it will take the object to hit the floor after it begins its descent.

Therefore, the total time it will take for the object to hit the ground after it is launched will be:

T = time taken to reach maximum height + time taken to hit the floor after it begins descending

T = 1.99 + 2.99

T = 4.98 seconds

6 0
3 years ago
Find element a13 of matrix A, if A=
astraxan [27]

\bf \begin{bmatrix} 2&-3&\boxed{4}\\ 5&0&-6\\ 7&2&-8 \end{bmatrix}\impliedby a_{1,3}\textit{ row 1, column 3}

8 0
3 years ago
5x+14-2x=9-(4x+2) can someone help
nekit [7.7K]
5x+14-2x=9-(4x+2)

3x+14=9-4x-2

3x+14=7-4x

7x+14=7

7x=-7

x=-1

Final answer: x=-1
5 0
3 years ago
Select the correct answer.
ludmilkaskok [199]

Answer:

C is the answer because i had that question

Step-by-step explanation:

C is the answer becausei had that question

8 0
2 years ago
Read 2 more answers
Find the values of x on the interval [−π, π] where the tangent line to the graph of y = sin(x) cos(x) is horizontal. (Enter your
Lady_Fox [76]
A trig identity is <span>asinucosu=<span>a/2</span>sin(2u)</span>So you can write your equation as<span>y=sin(x)cos(x)=<span>1/2</span>sin(2x)</span>Use the crain rule here<span><span>y′</span>=<span>d/<span>dx</span></span><span>1/2</span>sin(2x)=<span>1/2</span>cos(2x)<span>d/<span>dx</span></span>2x=cos(2x)</span>The curve will have horizontal tangents when y' = 0.<span><span>y′</span>=0=cos(2x)</span>On the interval [-pi, pi], solution to that is<span><span>x=±<span>π4</span>,±<span><span>3π</span>4</span></span></span>
6 0
3 years ago
Read 2 more answers
Other questions:
  • Write a linear function f with the values f(-6) = 10 and f(2) = 10
    13·1 answer
  • Which of the following is defined as displacement over change in time? Question 5 options: Displacement Speed Velocity Accelerat
    12·1 answer
  • Help Ill make you the brainiest ?!!
    6·1 answer
  • What type of angle is formed by joining an acute and right angles
    5·1 answer
  • Delia can buy 3 sweatshirts for the cost of $63. How much would if cost if she bought 4 sweatshirts for the same price
    6·1 answer
  • If x^2y^3=10 and x^3y^2=8, what is the value of x^5y^5
    14·1 answer
  • Write y = 1/6x + 4 in standard form using integers.
    5·2 answers
  • What is the answer for:<br> 8d - 6 = 5d
    6·2 answers
  • Solve -8x + 3 + 2x = 5(x - 6) with steps
    14·2 answers
  • 61,483<br> Х<br> 13<br> Show your work
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!