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
Strike441 [17]
3 years ago
6

( Help ASAP ) y varies inversely with x. If x is 6.4 when y is 1.5, what is k, the constant of inverse variation?

Mathematics
1 answer:
DiKsa [7]3 years ago
7 0

Answer:

k = 9.6

Step-by-step explanation:

When dealing with inverse variation, the two variables vary in opposite directions. This means that as the first variable increases, second variable decreases and as the first variable reduces,the second variable increases.

Y varies inversely with x.

So as y increases, x reduces and as y reduces, x increases.

We would proceed by introducing a constant of variation, k

y = k/x

From the information given,

The constant of variation = k

The value if x = 6.4

The value of y = 1.5

To find the value of k

y = k/x

k = yx = 1.5 × 6.4

k = 9.6

You might be interested in
Find the greatest common factor of 18 and 48
stiks02 [169]

Answer:

the greatest common factor is 6

3 0
3 years ago
Whats 200×47280 ? Thank you!
CaHeK987 [17]

Answer:

9456000

Hope this helps!!!1!

8 0
3 years ago
Read 2 more answers
Turn 8 21/40 into a decimal
denpristay [2]
TO get the decimal 8 is obviously 8.0 and for 21/40 just divide 40 for both the numerator and denominator. Then add the 8.0 with the answer you get for 40 together to get the final answer.
6 0
3 years ago
Read 2 more answers
1. Let f(x, y) be a differentiable function in the variables x and y. Let r and θ the polar coordinates,and set g(r, θ) = f(r co
Olenka [21]

Answer:

g_{r}(\sqrt{2},\frac{\pi}{4})=\frac{\sqrt{2}}{2}\\

Step-by-step explanation:

First, notice that:

g(\sqrt{2},\frac{\pi}{4})=f(\sqrt{2}cos(\frac{\pi}{4}),\sqrt{2}sin(\frac{\pi}{4}))\\

g(\sqrt{2},\frac{\pi}{4})=f(\sqrt{2}(\frac{1}{\sqrt{2}}),\sqrt{2}(\frac{1}{\sqrt{2}}))\\

g(\sqrt{2},\frac{\pi}{4})=f(1,1)\\

We proceed to use the chain rule to find g_{r}(\sqrt{2},\frac{\pi}{4}) using the fact that X(r,\theta)=rcos(\theta)\ and\ Y(r,\theta)=rsin(\theta) to find their derivatives:

g_{r}(r,\theta)=f_{r}(rcos(\theta),rsin(\theta))=f_{x}( rcos(\theta),rsin(\theta))\frac{\delta x}{\delta r}(r,\theta)+f_{y}(rcos(\theta),rsin(\theta))\frac{\delta y}{\delta r}(r,\theta)\\

Because we know X(r,\theta)=rcos(\theta)\ and\ Y(r,\theta)=rsin(\theta) then:

\frac{\delta x}{\delta r}=cos(\theta)\ and\ \frac{\delta y}{\delta r}=sin(\theta)

We substitute in what we had:

g_{r}(r,\theta)=f_{x}( rcos(\theta),rsin(\theta))cos(\theta)+f_{y}(rcos(\theta),rsin(\theta))sin(\theta)

Now we put in the values r=\sqrt{2}\ and\ \theta=\frac{\pi}{4} in the formula:

g_{r}(\sqrt{2},\frac{\pi}{4})=f_{r}(1,1)=f_{x}(1,1)cos(\frac{\pi}{4})+f_{y}(1,1)sin(\frac{\pi}{4})

Because of what we supposed:

g_{r}(\sqrt{2},\frac{\pi}{4})=f_{r}(1,1)=-2cos(\frac{\pi}{4})+3sin(\frac{\pi}{4})

And we operate to discover that:

g_{r}(\sqrt{2},\frac{\pi}{4})=-2\frac{\sqrt{2}}{2}+3\frac{\sqrt{2}}{2}

g_{r}(\sqrt{2},\frac{\pi}{4})=\frac{\sqrt{2}}{2}

and this will be our answer

3 0
3 years ago
What fraction of the whole are the blue piece, the orange piece, the red piece, and the purple piece. How do you know?
Rus_ich [418]
Red: 2/4
blue: 1/4
Purple: 1/4
6 0
3 years ago
Read 2 more answers
Other questions:
  • As part of a class project, a university student surveyed the students in the cafeteria lunch line to look for a relationship be
    8·1 answer
  • Out of 340 racers who started the marathon, 316 completed the race, 18 gave up, and 6 were disqualified. What percentage did not
    13·1 answer
  • Please help due in less than 2 hours, need help with #17!!!
    6·1 answer
  • Find the product (8b-8)(-2b2 - 7b + 5)
    12·1 answer
  • yesterday , Elsa had K baseball cards today she gave 12 away ,using K write an expression for the number of cards elsa has left
    11·2 answers
  • ⚠️⚠️⚠️ PLEASE HELP!!!!!!⚠️⚠️⚠️
    8·1 answer
  • Simplify the expression<br> 7y − (6)2y − 12
    6·2 answers
  • PLSSSSSSSSSSS HELPPPPPPP
    14·1 answer
  • Javier walks up to a tank of water that can hold up to 10 gallons. When it is active, a drain empties water from the tank at a c
    9·1 answer
  • PLEASE HELP WILL MARK BRAINLIEST
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!