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
MArishka [77]
3 years ago
5

What is the direct linear variation equation for the relationship?

Mathematics
1 answer:
defon3 years ago
3 0
\bf \begin{array}{cccccclllll}
\textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\
\textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\
y&=&{{ K}}&\cdot&x
\\ \\
&&  y={{ K }}x
\end{array}
\\ \quad \\

\begin{cases}
y=4\\
x=12
\end{cases}\implies y=Kx\implies 4=K\cdot 12

solve for "K", to see what "K" is, or the "constant of variation",
once you found K, plug it back in y=Kx, and that's the equation
You might be interested in
I don't get this problem
Dominik [7]
20/4.... 5cm is ur answer
4 0
3 years ago
Read 2 more answers
In ​, there were immigrants admitted to a country. In 1960​, the number was . a. Assuming that the change in immigration is​ lin
Arisa [49]

Answer:

The answer is below

Step-by-step explanation:

The complete question is:

In 1960​, there were 237,794 immigrants admitted to a country. In 2001, the number was 1,150,729.

a. Assuming that the change in immigration is​ linear, write an equation expressing the number of​ immigrants, y, in terms of​ t, the number of years after 1900.

b. Use your result in part a to predict the number of immigrants admitted to the country in 2013.

c. Considering the value of the​ y-intercept in your answer to part a​, discuss the validity of using this equation to model the number of immigrants throughout the entire 20th century.

Answer:

a) From the question, we can get two ordered pairs which are (t_1,y_1)=(60,237794)\ and\ (t_2,y_2)=(101,1150729)

Using the equation of a line given two points:

y-y_1=\frac{y_2-y_1}{t_2-t_1}(t-t_1)\\ \\y-237794=\frac{1150729-237794}{101-60}( t-60)\\\\y-237797=22266.71(t-60)\\\\y=22266.71t-1098205.44

b) In 2013, t = 2013 - 1900 = 113.

Hence:

y=22266.71t-1098205.44\\\\y=22266.71(113)-1098205.44\\\\y=1417932.488\\\\y=1417933

c)

y=22266.71t-1098205.44\\\\the\ y\ intercept\ is\ at\ t=0,hence:\\\\y=22266.71(0)-1098205.44\\\\y=-1098205.44

Since the y intercept is negative, that is in 1900 the number of immigrants was -1098206 which can not be possible. Hence this equation is not valid and the growth may or may not be linear.

7 0
4 years ago
All of the following represent the same expression except _____.
77julia77 [94]

Answer:

c

Step-by-step explanation:

your answer will c

because in middle there is sign of(-) so your answer will (-).

4 0
3 years ago
What is 3.8 in a fraction
Arte-miy333 [17]
I'm not sure if it's this answer so all you do don't put it I think it's 19 over 5
5 0
4 years ago
Write an equation of the circle with center (5, 2) and diameter 12.
ZanzabumX [31]

Answer:

(x-5)^2 + (x-2)^2 = 6^{2}

Step-by-step explanation:

Standard equation of a circle is

(x-x_{0})^2-(y-y_{0})^2 = r^2\\r=\frac{1}{2}d

As the radius is half of the diameter we can divide 12 by 2 to get a radius, then we can input values into this equation.

4 0
3 years ago
Other questions:
  • Zakir buys five $1,000, 13-week T-bills at 5.1%. a) What is the amount of the discount? b) What will Zakir pay for these T-bills
    5·2 answers
  • Correct answer gets brainliest
    5·1 answer
  • What is the range of the following function
    8·1 answer
  • How do I solve for x?
    7·1 answer
  • -2 = 6/7*p <br> How do you solve the equation.
    10·2 answers
  • When f(x) is divided by x + 4 the quotient is x2+5x−3+2x+4. What is f(−4)?
    15·1 answer
  • NO LINKS ACTUAL ANSWERS
    6·2 answers
  • Help me please<br> ............................
    9·1 answer
  • Can you help me on this question Plss
    5·2 answers
  • Triangle ABC is translated 2 units to the right
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!