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
aivan3 [116]
3 years ago
15

if y varies inversely as x and y = 194 when x = -13, find y when x = 50. Round your answer to the nearest hundredth, if necessar

y.
Mathematics
1 answer:
pashok25 [27]3 years ago
8 0

Step-by-step explanation:

Since, y varies inversely as x.

\therefore \: y =  \frac{k}{x}  \\ (k = constant \: of \: proportionality) \\   \therefore \: xy =  k...(1) \\ plug \: y = 194 \:  \: and \:  \: x =  - 13 \: in \: (1) \\ \therefore \:  - 13 \times 194=  k \\ \therefore \: k =  - 2522 \\ substituting \: k =  - 2522 \: in \: (1) \\ xy =  - 2522...(2) \\ this \: is \: equation \: of \: variation. \\ plug \: x = 50 \: in \: (2) \\ 50 \times y =  - 2522 \\  \therefore \:y =  \frac{ - 2522}{50}  \\   \huge \red{ \boxed{\therefore \:y =   - 50.44}}

You might be interested in
How many times greater is the digit in the tens place than digit on the ones place in the number 55.72
bogdanovich [222]
The digit in the tens place is 10 times bigger than the digit in the ones place
6 0
3 years ago
Turn this into a equation the sum of twice r and three timea s is identical to thirteen
Goryan [66]
In equation form it would be the following:

2r + 3s = 13.

I believe.
5 0
3 years ago
What are the Rates of Change and the initial values to these? If you don't have the answer I'll take an explanation on how to do
gogolik [260]

Step-by-step explanation:

So, a coordinate plane is made out of two axis, the x and the y. Through these, we have grid squares on the plane showing points. So, each square would be one point. To find the <u>rate of change, or slope,</u> you would have to use the formula:

y(#2) - y(#1)

------------------ = Divided by

x(#2) - y(#1)

This formula will calculate the rate of change. I will do the first one for you as follows.

The first point I would find would be (1,3). 1 space on the X-axis, 3 on the Y-axis.

To write a ordered pair to represent the point on the plane, use the (X,Y).

Then, I'd find the second point.

Following the second point, I would do the equation like so.

y(2) - 3

-----------------  

x(2) - 1

See, I used the first points given as the last X and Y variables in the formula.

Hope this helps you out!

4 0
3 years ago
Evaluate Integral: 2sin(2x) from 0, pi/2
Neko [114]
Integral of 2sin(2x) is -cos(2x)
from 0 to pi/2 (sub pi/2 minus sub 0 for x) and then solve
= -cos(2*pi/2)-(-cos0)
= -cos pi + cos 0
= 1 + 1
= 2 
8 0
3 years ago
Sarah has a laundry bag in the shape of a cylinder. The area of the bottom of the bag can be written as the function A(x) = x2 -
NNADVOKAT [17]
As we know the volume of a prism is the product of height and base are

H(x)= height, A(x)= Base area 

Thus,
When volume = height(base area )

V(x)= A(x) · H(x)
       = (x²-2)(5)
       = 5(x² -2)
8 0
3 years ago
Other questions:
  • the temperature started at -65 degrees. It decreases at a constant rate of 45 degrees every hour. What is the slope m for the si
    8·1 answer
  • Which dot plot has the greatest number of observations<br><br><br><br><br> Answer: the first one
    5·1 answer
  • The graph of g(x) is the graph of f(x)=x+9 reflected across the y-axis.
    11·2 answers
  • Which simplified expression represents the area of the parallelogram?
    15·1 answer
  • The police department of a city with a population of 250000 wants to know how many residents wear their seatbelts regularly. whi
    5·2 answers
  • 1. Gavin and Seiji both worked hard over the summer. Together, they earned a total of $425. Gavin earned $25 more than Seiji. Ho
    7·1 answer
  • Find the value of x in the given right triangle <br><br> X= ?
    10·2 answers
  • A chemical engineer is trying to increase the amount of the useful product in a reaction. She performs the reaction with her new
    9·2 answers
  • Which evidence from the text best supports the idea that women astronauts are not unusual anymore?
    14·2 answers
  • a building block in the shape of a cube was found in a toy box . it has side lengths of 1.1 inches what is the volume of the bui
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!