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
Art [367]
3 years ago
8

A carton of milk has spilled on a tile floor. The milk flow can be expressed with the function m(t) = 10t, where t represents ti

me in minutes and m represents how far the milk is spreading. The flowing milk is creating a circular pattern on the tile. The area of the pattern can be expressed as A(m) = πm2. Part A: Find the area of the circle of spilled milk as a function of time, or A[m(t)]. Show your work. (6 points) Part B: How large is the area of spilled milk after 3 minutes? You may use 3.14 to approximate π in this problem. (4 points)
Mathematics
1 answer:
jeka57 [31]3 years ago
7 0

Answer:

<u>Part A:</u>  A[m(t)]=100\pi t^2

<u>Part B:</u> Area is 2826

Step-by-step explanation:

<u />

<u>Part A:</u>

We want to express the area as A[m(t)], so we plug in m(t)=10t into the Area formula which is A(m)=\pi m^2

<em>*We basically plug in 10t into m of A(m) formula*</em>

Thus, A[m(t)]=\pi (10t)^2=100\pi t^2

<u>Part B:</u>

To find the area of the milk spread after 3 minutes, we plug in 3 into t of the formula we just found in Part A. Thus,

A[m(t)]=100\pi t^2\\=100(3.14)(3)^{2}\\=2826

Area is 2826

You might be interested in
3/8 of a scholarship fund was 1500 find the full amount of the scholarship fund​
N76 [4]

Answer:

The full scholarship fund will be 4000

Step-by-step explanation:

When doing these types of problems I like to do this.

1500 ÷ 3 = 500 (We do this because you want to find out what 1/8 is)

Since 500 is 1/8 of the part, all you have to do is multiply 500 by 8

500 × 8 = 4000

7 0
3 years ago
When invested at an annual interest rate of 4.7%, an account earned $1,290.33 of simple
lawyer [7]

Answer:

The answer is 82,361.49

Step-by-step explanation:

after simplifying the equation, the problem is 1290.33 divided by .27 times 3 - the quotient is 82,362.49 (in simplified form)

6 0
3 years ago
Read 2 more answers
A linear function and an exponential function are graphed below. Find possible formulas for the functions f(t), in blue, and g(t
Zielflug [23.3K]

Answer:

f(t) = -t + 21

g(t) = 18*e^( - t / 12 + 1/4 )

Step-by-step explanation:

Given:

- The graphs for the similar question is attached.

- The same graph would be used as reference but with different coordinates for point of intersection of f(t) and g(t) @ ( 3 , 18 ) & ( 15 , 6 ).

Find:

- The formulas for functions f(t) and g(t).

Solution:

- First we will determine f(t) the blue graph which is a "linear" function. The general equation for the linear function is given as:

                                    f(t) = m*t + c

Where, m: is the gradient  ( constant )

            c: The f(t) intercept. ( constant )

- The gradient m can be determined by the given points that lie on the graph:

                         m = ( f(t2) - f(t1) ) / ( t2 - t1 )

                         m = ( 6 - 18 ) / ( 15 - 3 )

                         m = -12 / 12 = -1

- The constant c can be evaluated by using any one point and m substituted back into the linear expression as follows:

                          f(t) = -t + c

                          18 = -(3) + c

                           c = 21

- The function f(t) is as follows:

                            f(t) = -t + 21

- The general expression for an exponential function can be written as:

                           g(t) = a*e^(b*t)

Where, a and b are constants to be evaluated.

- We will develop two expressions for g(t) using two given points that lie on the curve as follows:

                           18 = a*e^(3*b)

                           6 = a*e^(15*b)

- Divide the two expressions we have:

                           3 = e^( 3b - 15b )

                           Ln(3) = -12*b

                           b = - Ln(3) / 12

- Then the expression 1 becomes:

                          18 = a*e^( - Ln(3)*3 / 12)

                          18 = 3*a*e^(-1/4)

                           6 = a / e^(0.25)

                           a = 6*e^( 1 / 4 )

- The function g(t) can be expressed as:

                          g(t) = 18*e^( - t / 12 + 1/4 )

3 0
3 years ago
Find the equivalent fraction of 4/7
Delicious77 [7]
8/14 , 12/21, 16/28, 20/35
3 0
3 years ago
This is the last questionn help
makkiz [27]

Answer:

C

Step-by-step explanation:

That's the answer....

7 0
3 years ago
Other questions:
  • Which statement is true about the equations -3x + 4y equals 12 1/4 x - 1/3 yd equals 1?​
    14·1 answer
  • Simplify the following expression: (9x^2+2x−5)+(6x^2−5x+4). Please explain how you found your answer
    11·1 answer
  • What is surface area​
    11·1 answer
  • The Badys and their maid, Alice, took a trip to Hawaii for their summer vacation. The travel agent told Ike that the trip would
    11·1 answer
  • Frozen Treats makes flavored ice cubes to go into soft drinks in a variety of flavors. If each ice
    6·1 answer
  • Please Help If you Can​
    15·1 answer
  • How do you do two x to the second plus nine x minus five equal zero
    5·1 answer
  • In the diagram below, what is the approximate length of the minor arc DE?
    6·1 answer
  • HELPP QUICKK PLEASSEEE​
    13·1 answer
  • The value of a painting rises from £120,000 to £192,000.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!