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
Sonja [21]
3 years ago
15

If f(x) varies directly with x and f(x) = 4 when x = 12, then what is the value of f(x) when x = 60?

Mathematics
1 answer:
ANTONII [103]3 years ago
6 0
ANSWER

f(60)=3\times60=180

EXPLANATION
We were given that
f(x)
varies directly as
x.

We can write this mathematically as,

f(x) \propto \: x.

This implies that,

f(x) = kx
where k is the constant of variation.

f(4)=4k

This implies that,

4k=12

k = 3

The equation becomes

f(x)=3x

When x=60

f(60)=3\times60=180
You might be interested in
10x + 4y = 24 6x +12y = 48 What is the value of y? * <br>A. 7 <br>B. 7/2 <br>C. 1 <br>D. -7/2​
ziro4ka [17]

Answer:

B

Step-by-step explanation:

1) lets use elimination to solve this:

multiply 10x+4y=24 with 3 in order to get "4y" into "12y"

3(10x+4y=24)

30x+12y=72

now subtract both equations to eliminate 'y"

30x+12y=72

-

6x+12y=48

---------------------

24x=24

x=1

now substitute 1 in the above equation:

6(1)+12y=48

6+12y=48

12y=42

y=7/2

4 0
3 years ago
Evaluate the line integral, where C is the given curve. (x + 6y) dx + x2 dy, C C consists of line segments from (0, 0) to (6, 1)
Dima020 [189]

Split C into two component segments, C_1 and C_2, parameterized by

\mathbf r_1(t)=(1-t)(0,0)+t(6,1)=(6t,t)

\mathbf r_2(t)=(1-t)(6,1)+t(7,0)=(6+t,1-t)

respectively, with 0\le t\le1, where \mathbf r_i(t)=(x(t),y(t)).

We have

\mathrm d\mathbf r_1=(6,1)\,\mathrm dt

\mathrm d\mathbf r_2=(1,-1)\,\mathrm dt

where \mathrm d\mathbf r_i=\left(\dfrac{\mathrm dx}{\mathrm dt},\dfrac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt

so the line integral becomes

\displaystyle\int_C(x+6y)\,\mathrm dx+x^2\,\mathrm dy=\left\{\int_{C_1}+\int_{C_2}\right\}(x+6y,x^2)\cdot(\mathrm dx,\mathrm dy)

=\displaystyle\int_0^1(6t+6t,(6t)^2)\cdot(6,1)\,\mathrm dt+\int_0^1((6+t)+6(1-t),(6+t)^2)\cdot(1,-1)\,\mathrm dt

=\displaystyle\int_0^1(35t^2+55t-24)\,\mathrm dt=\frac{91}6

6 0
3 years ago
The population of bacteria in an
aliina [53]

Answer:

Step-by-step explanation:

Future Amount = 25(1.8)^10 = 25* 357.047 = 8926.168 = 8926

6 0
3 years ago
P = 2L + 2W<br>How Do I Find W?
tatyana61 [14]
P = 2L + 2W ....subtract 2L from both sides
P - 2L = 2W ...divide both sides by 2
(P - 2L) / 2 = W .....can also be written  like (P/2) - L = W
3 0
3 years ago
Read 2 more answers
A(x, 1), B(5,3) and C(4,-3) are the vertices of triangle ABC. If AB=AC, find the value of x​
Molodets [167]

\\ \rm\longmapsto AB=AC

\\ \rm\longmapsto \sqrt{(x-5)^2+(1-5)^2}=\sqrt{(x-4)^2+(1+3)^2}

\\ \rm\longmapsto (x-5)^2+(-2)^2=(x-4)^2+4^2

\\ \rm\longmapsto (x-5)^2+4=(x-4)^2+16

\\ \rm\longmapsto (x-5)^2-(x-4)^2=16-4=12

\\ \rm\longmapsto x^2-10x+25-x^2+8x-16=12

\\ \rm\longmapsto -2x+9=12

\\ \rm\longmapsto -2x=12-9=3

\\ \rm\longmapsto x=\dfrac{3}{-2}=-1.5

5 0
3 years ago
Read 2 more answers
Other questions:
  • It cost David $212 to make chocolate bars this month at least how many chocolate bars must his sell at eight dollars each in ord
    8·2 answers
  • Put 6.5ft into inches
    9·2 answers
  • If f(x)= 1/3x and g(x)=3x, then what are g * f (x) and g*f(1/2)
    6·1 answer
  • What is the vertex of the graph of g(x)=|x-9|+3
    14·1 answer
  • the number of songs that can fit on a hard drive depends on its storage space. plot the ordered pairs from the table. is the num
    7·2 answers
  • A rectangle has a perimeter of 64 inches and a length of 22 inches. Which equation can you solve to find the width?
    13·2 answers
  • Which statements are true about the rules of division? Check all that apply.
    11·2 answers
  • how many cubic sugar of edge 20cm can be fitted into cuboid container of dimension 40cm by 60cm by100cm​
    9·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%7B2%7D%5E%7B2%7D%20%20%5Ctimes%20%20%7B2%7D%5E%7B3%7D%20%20%20%5Cdiv%20%20%7B2%7D%5E%7B4%7
    10·1 answer
  • Please help I need this done by tonight!!
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!