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
In a cohort of 35 graduating students, there are three different prizes to be awarded. If no student can receive more than one p
sweet [91]

We have been given in a cohort of 35 graduating students, there are three different prizes to be awarded. We are asked that in how many different ways could the prizes be awarded, if no student can receive more than one prize.

To solve this problem we will use permutations.

_{r}^{n}\textrm{P}={_{3}^{35}\textrm{P}}

We know that formula for permutations is given as

_{r}^{n}\textrm{P}=\frac{n!}{(n-r)!}

On substituting the given values in the formula we get,

{_{3}^{35}\textrm{P}}=\frac{35!}{(35-3)!}=\frac{35!}{32!}

=\frac{35\cdot 34\cdot 33\cdot 32!}{32!}\\
\\
=35\cdot 34\cdot 33=39270

Therefore, there are 39270 ways in which prizes can be awarded.


6 0
3 years ago
Select all that apply to describe the association of this scatterplot
raketka [301]
Negative, Nonlinear,
I hope this helped:)
6 0
2 years ago
Which of the following solution sets is all real numbers?<br> Ixl &gt;-2<br> Ixl &lt;-2<br> Ixl = -2
Lisa [10]
The first one, |x|>-2
6 0
3 years ago
Read 2 more answers
A point is reflected across the y axis the new point is located at -4.25,-1.75 write the order pair that represents the original
Naya [18.7K]

Answer:

(4.25, - 1.75)

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ), thus

(- 4.25, - 1.75 ) → (4.25, - 1.75 ) ← original point



5 0
3 years ago
A quadratic function f(x)=ax2 passes through (0,0) and (5,5). write an equation for this function
krek1111 [17]

Answer:

y = (1/5)x² or  y = x²/5

Step-by-step explanation:

We have the function f(x) = ax² and are given that the point (5,5) is on the parabola.  We need to find 'a'.   f(x) can be replaced with 'y', so we can rewrite the equation as...

y = ax²    

We know that when x = 5, y = 5, so we have

5 = a(5²)      now simplify...

5 = 25a

5/25 = a

1/5 = a, so our equation becomes

(1/5)x² or  x²/5  (the expressions are equal)

8 0
3 years ago
Other questions:
  • Divide.
    14·1 answer
  • (Q9) Decide if the function is an exponential growth function or exponential decay function, and describe its end behavior using
    11·1 answer
  • Please help I will mark Brainly
    6·2 answers
  • Justin uses 4 right angles to draw a polygon. How many different polygons can he make?
    5·2 answers
  • Please help me with these questions
    9·1 answer
  • A manufacturer claims that its cleaning product is best because over half of the cleaning services surveyed used the product. Wh
    14·1 answer
  • Morgan is going to a carnival that has games and rides. Each game costs $2.50 and each ride costs $4.25. How much would Morgan h
    8·2 answers
  • Which of the following shapes is a parallelogram that always has four congruent sides?
    8·1 answer
  • What are 2 tv shows i can watch on hbo max for a 12 yr old #verymature​
    10·2 answers
  • Find the slope of the line that goes through the given points (-4,11) (-12,-1)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!