answer.
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
Cerrena [4.2K]
2 years ago
13

Each function below describes how something changes. Use the description to determine which function(s) describe exponential gro

wth or decay. Select all that apply.A. The pollution increases at a rate of 10 grams per day.B. The power of a turbine is proportional to the square of wind speed.C. The thickness of ice increases by thirty millimeters each day.D. The volume of a sphere doubles every minute.E. The population decreases by 11 % each year.
Mathematics
1 answer:
cestrela7 [59]2 years ago
6 0

Answer: E. The population decreased by 11% each year.

Step-by-step explanation: In A, the pollution increases at a constant rate, but in a linear way, in other words in each day, the pollution increases 10 grams; The same goes for C: ice "grows" a few milimeters each day; In D, as volume is calculated by the multiplication of π and its radius, the increase in the volume is still linear. In B, the proportionality is related to the power of the turbine not the growth or decay of it. In E, a population grows or decreases in a form of A=A₀(1±r)^t. In this case: A = A₀ (1-0.11)^t.

In conclusion, the function that better describes an exponential growth or decay is the decrease of a population.

You might be interested in
Suppose r(t)= cos(t)i+sin(t)j+(2t)k represents the position of a particle on a helix, where Z is the height of the particle abov
Gwar [14]

Answer:

The parametric equations for the tangent line are :

x = Cos(10) - t×Sin(10)

y = Sin(10) + t×Cos(10)

z = 20 + 2t

Step-by-step explanation:

When Z=20:

Z=2t=20 ⇒ t=10

The point of tangency is:

r(10)= Cos(10) i + Sin(10) j + 20 k

We have to find the derivative of r(t) to get the tangent line:

r'(t)= -Sin(t) i + Cos(t) j + 2 k

The direction vector at t=10 is:

r'(10)= -Sin(10) i + Cos(10) j + 2 k

So, the equation of the tangent line is given by:

x = cos 10 -t×Sin(10)

y = sin 10 + t×Cos(10)

z = 20 + 2t

4 0
2 years ago
Landon babysits and works part time at tge water park over the summer. onw week, he babysat for 3 hours and worked at the water
Tems11 [23]
B = hourly rate for babysitting and w = hourly rate for working at water park

3b + 10w = 109...multiply by -8
8b + 12w = 177...multiply by 3
----------------------
-24b - 80w = - 872 (result of multiplying by -8)
24b + 36w = 531 (result of multiplying by 3)
---------------------add
- 44w = - 341
w = -341/-44
w = 7.75 <=== hourly rate for working at water park

3b + 10w = 109
3b + 10(7.75) = 109
3b + 77.50 = 109
3b = 109 - 77.50
3b = 31.50
b = 31.50/3
b = 10.50 <== hourly rate for babysitting
8 0
2 years ago
Read 2 more answers
Aidan is filling a new kiddie pool with water. The pool is the shape of a rectangular prism and is 3/4 foot deep, 6 1/2 feet wid
ss7ja [257]

Answer:292.5 is what i got but i saw somewhere where it say the volume of this pool is 1077.12 gallons of water.

Step-by-step explanation: hope this helps

6 0
2 years ago
Read 2 more answers
Choose the correct answers for (a) the total installment price, (b) the carrying charges, and (c) the number of months needed to
yanalaym [24]
A
100+89.50×36
=3,322
b
3,322−2,900
=422
c
2,900÷89.50
=33
6 0
2 years ago
Read 2 more answers
Which statements are true
nasty-shy [4]

Answer: 1. False.

2.True.

3.True.

4.False.

5.True.

6.False.

Explanation:

1.∠XFG is lying between the one side and the line extended to the next side of the triangle, therefore it is an exterior angle.

2.∠EFG is lying between the two sides of the ΔEFG, therefore it is an interior angle of the triangle.

3.∠FEZ is lying between the one side and the line extended to the other side of ΔEFG.

4.∠YGE is a straight line it is between the one side and the line extended to the same side ∴ it cannot be an exterior angle of the triangle.

5.∠EGF and FGY lying on the same line YZ ,∴they are linear pair i.e. they are supplementary angles.

6.∠FEG and ∠FGE are both the interior angles of a triangle and we know that for supplementary angles they should lie on the same line.Therefore ∠FEG and ∠FGE are not supplementary angles.

5 0
2 years ago
Read 2 more answers
Other questions:
  • Fatima saved $15,000 toward a down payment on a house. She makes $5,375 a month. What is the maximum loan she can take on a hous
    9·2 answers
  • I have a limited time please help ;-;
    9·2 answers
  • The area of a trapezoid is 144 square inches. if the height is 12 inches, find the length of the median.
    13·1 answer
  • A rock is thrown in the air from the edge of a seaside cliff. Its height in feet is represented by f(x) = –16(x^2 – 8x – 9), whe
    8·2 answers
  • A customer borrowed $2000 and then a further $1000 both repayable in 12 months. What should he have saved if he had taken out on
    10·2 answers
  • A boat can travel 64 miles on 7 gallons of gasoline. How much gasoline will it need to go 24 miles?
    10·1 answer
  • What values of c and d make the equation true? RootIndex 3 StartRoot 162 x Superscript c Baseline y Superscript 5 Baseline EndRo
    10·2 answers
  • A bridge is rated to a capacity of 100 British tons. What is the maximum weight the bridge can support in kilograms? (Round to t
    6·1 answer
  • The sum of an infinite geometric sequence is seven times the value of its first term.
    6·1 answer
  • HELP PLEASE The annual salaries of all employees at a financial company are normally distributed with a mean Mu = $34,000 and a
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!