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
Andrew [12]
3 years ago
13

Suppose r varies directly as the square of​ m, and inversely as s. If r equals 11 when m equals 6 and s equals 4​, find r when m

equals 12 and s equals 4.
Mathematics
1 answer:
77julia77 [94]3 years ago
7 0

Answer: r=44

Step-by-step explanation:

The combine variation equation will have the folllowing form:

y=\frac{kx}{z}

Where "k" is the constantn of variation.

You know that "r" varies directly as the square of​ "m", and inversely as "s". Then the equation is:

r=\frac{m^2k}{s}

Knowing that r=11 when m=6 and s=4, you can substitute values into the equation and solve for "k" in order to find its value:

11=\frac{6^2(k)}{4}\\\\\frac{11*4}{6^2}=k\\\\k=\frac{11}{9}

Now, to find the value of "r" when m=12 and s=4, you need tot substitute these values and the the constant of variation into  r=\frac{m^2k}{s} and then evaluate:

 r=\frac{(12^2)(\fra{11}{9}}{4}\\\\r=44

You might be interested in
Estimate the difference by rounding each mixed number to the nearest half or whole number. 8 4/10 - 2 1/7
Brilliant_brown [7]
The answer would be 6 9/35 which would round to 6.5
7 0
2 years ago
Read 2 more answers
The map shows a typical flight path between Seattle and London. Why does the path go over the Arctic? A) It is the shortest path
Triss [41]
The answer to the given question above would be option A. Based on the given map shown above which is a typical flight path between Seattle and London, the reason why the path goes over the Arctic is that, it is the shortest path. Hope this answers your question.
4 0
3 years ago
Read 2 more answers
PLS 40 points
Pavlova-9 [17]
<h2>2x+y=2</h2>

Step-by-step explanation:

Let p1 be the point (-1,4)

Let p2 be the point (3,-4)

The equation of the line passing through two points p1=(x_{1},y_{1})

and p2=(x_{2},y_{2}) is \frac{y-y_{1}}{x-x_{1}} =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

substituting p1,p2 in the above equation yields

\frac{y-4}{x-(-1)}=\frac{-4-4}{3-(-1)}

which when simplified gives \frac{y-4}{x+1}=\frac{-8}{4}

which when further simplified gives 2x+y=2

5 0
3 years ago
What can be said about the relationships between triangles and circles? Check all that apply.
ycow [4]

Answer:

The answers are:

A. Exactly one circle can be inscribed in a given triangle.

C. Many triangular shapes can be circumscribed about a given circle.

Step-by-step explanation:

I just took the quiz as well. Good luck!

3 0
3 years ago
Simplify 3/4×(4)1/3÷(3)1/4​
ankoles [38]

Answer:

The answer is 1

Step-by-step explanation:

  • 3/4×13/3÷13/4
  • 3/4×13/4×4/13
  • =1
4 0
3 years ago
Read 2 more answers
Other questions:
  • How do you translate the shape for 11 and 12?
    11·1 answer
  • Mr roosevelt has 48 nails that each weigh 1.35 onnces what is the weight of these nails in onces
    12·1 answer
  • The line graph below charts the time spent playing video games during a one week period.
    12·1 answer
  • Help this is extremely confusing
    13·1 answer
  • Brainly admin please don't delete this i actually forgot what is 1x0 1x2 and 0x2
    5·2 answers
  • In a survey 3/4 of 400 parents said yes, they give their children fruit snack. How many answered yes to the survey?
    8·1 answer
  • A box contains 3 coins, one fair, one weighted with a 2 3 chance of coming up heads, and one weighted with a 2 3 chance of comin
    9·1 answer
  • What is the length of PR
    15·1 answer
  • Can sum1 help me asap plssss
    8·2 answers
  • Solve the system of equations.<br> 57 - 10x = 45<br> -<br> - 3y + 10x = -5
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!