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
MrMuchimi
3 years ago
8

Midge added some chlorine to the water in a pool. The chlorine evaporated at a fixed rate every week. The table below shows the

amount of chlorine f(n), in ounces, that was left in the pool after n weeks:
n f(n)
1 16
2 8
3 4
4 2


Which function best shows the relationship between n and f(n)?
f(n) = 16(0.5)n − 1
f(n) = 32(0.5)n − 1
f(n) = 16(0.5)n
f(n) = 32(0.5)n + 1
Mathematics
1 answer:
wlad13 [49]3 years ago
5 0

Answer:

f(n) = 16(0.5)ⁿ⁻¹

Step-by-step explanation:

Find f(1) for each option.

a) f(1) = 16(0.5)¹⁻¹ = 16

b) f(1) = 32(0.5)¹⁻¹ = 32

c) f(1) = 16(0.5)¹ = 8

d) f(1) = 32(0.5)¹⁺¹ = 8

Only the first option matches the table.

You might be interested in
Find the distance between the pair of points<br> (-4,-5) and ( -5.-9)
PilotLPTM [1.2K]

Answer:

the first one is 1 the second is 4

Step-by-step explanation:

these could be negatives

4 0
3 years ago
The radius of the circle below intersects the unit circle at (Three-fifths, four-fifths). What is the approximate value of Theta
Fudgin [204]

The measured value of Theta is  53.1 degrees.

Given

The radius of the circle below intersects the unit circle at (3/5, 4/5).

<h3>What is tan theta?</h3>

The measure of the tan angle is defined as the ratio of perpendicular by the base.

The measure of the tan theta is;

\rm Tan\theta=\dfrac{x}{y}

Where the value of x is 3/5 and y is 4/5.

Substitute all the values in the formula

\rm Tan\theta=\dfrac{x}{y}\\\\\rm Tan\theta=\dfrac{\dfrac{4}{5}}{\dfrac{3}{5}}\\\\\\Tan\theta = \dfrac{4}{5} \times \dfrac{5}{3}\\\\Tan \theta=\dfrac{4}{3}\\\\\theta=tan{-1}(\dfrac{4}{3})\\\\\theta=53. 1 \ degrees\\\\

Hence, the measured value of Theta is  53.1 degrees.

To know more about Trigonometric ratios click the link given below.

brainly.com/question/22698523

3 0
2 years ago
119. Beatrice decides to deposit $100 per month at the end of every month in a bank with an annual interest rate of 5.5% compoun
sveta [45]

Answer:

Beatrice will accumulate $1230.72 at the end of the year.

Step-by-step explanation:

We can write:

(1+\frac{0.055}{12})=z

100=C for deposits

The first month would have only the deposit reflected in her balance, then, expanding some steps of the calculation would yield:

S_{1}=C\\S_{2}=Cz + C\\S_{3}=Cz^{2}+Cz + C\\S_{n}=Cz^{n-1} +...+Cz+C

A geometric series is given by:

1+x+...+x^{m}=\frac{x^{m+1}-1}{x-1}

Translating our series to the short form:

S_{n}=C(\frac{z^{n}-1}{z-1} )

plugin in the values for the 12 month gives:

S_{12}=100(\frac{(1+\frac{0.055}{12})^{12} -1}{\frac{0.055}{12}})=1230.7169

3 0
3 years ago
Chad know 5 out of every 50 students has blue eyes there are 660 students in the school how many students have blue eyes
BigorU [14]

\frac{5}{50}  =  \frac{x}{660} \\ x = 66

3 0
3 years ago
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x
matrenka [14]

The statement which describes correctly the graph of g(x) is " It is the graph of f(x) reflected about the x-axis and shrunk horizontally by a factor of 10 " ⇒ answer C

Step-by-step explanation:

Let us revise some transformation

A vertical stretching is the stretching of the graph away from the x-axis

A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis.

  • If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched by multiplying each of its y-coordinates by k.
  • If 0 < k < 1 (a fraction), the graph of y = k•f(x) is the graph of f(x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k
  • f k should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis.  

A horizontal stretching is the stretching of the graph away from the y-axis

A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis.

  • If k > 1, the graph of y = f(k•x) is the graph of f(x) horizontally shrunk (or compressed) by dividing each of its x-coordinates by k.
  • If 0 < k < 1 (a fraction), the graph of y = f(k•x) is the graph of f(x) horizontally stretched by dividing each of its x-coordinates by k
  • If k should be negative, the horizontal stretch or shrink is followed by a reflection across the y-axis.

∵ f(x) = x

∵ g(x) = f(-10x)

- Substitute x by -10x

∴ g(x) = -10x

∵ x is changed to 10x

- x multiplied by a number means shrink or stretch horizontally

∵ k = 10

∵ 10 > 1

∴ The graph of f(x) is shrunk horizontally by a factor of 10

∵ The value of g(x) is negative

- The negative sign of g(x) means reflection across x-axis

∴ The graph of f(x) is reflected about the x-axis

The statement which describes correctly the graph of g(x) is " It is the graph of f(x) reflected about the x-axis and shrunk horizontally by a factor of 10 "

Learn more:

You can learn more about reflection in brainly.com/question/5017530

#LearnwithBrainly

5 0
3 years ago
Other questions:
  • What is the slop intercept form of a line that passes threw (4,-4) and (8, -10)
    13·1 answer
  • Jean-Paul Sovique, the famous sculptor, is building a solid conical sculpture. He has 1,178.1 cubic feet of clay to work with, a
    9·1 answer
  • The roller coaster car travels down the helical path at constant speed such that the parametric equations that define its positi
    8·1 answer
  • Between what two whole numbers does your answer lie
    14·2 answers
  • Derik earns $10.00 per hour. He works 35 hours per week. How much will he earn in two weeks? If he spends $50, how much will Der
    9·1 answer
  • Vivian has 10 lines in the school play and Gabriel has 2 lines. How many more lines does Vivian have than Gabriel?
    8·2 answers
  • Find the highest common factor (HCF) of 72 and 98.​
    12·1 answer
  • What’s the slope and y intercept of (3,4) and (0,-3)
    13·2 answers
  • Kelly is knitting a scarf for her brother. It took her 1/3 hour to knit 3/8 foot of a scarf. How fast is Kelly’s knitting speed,
    15·1 answer
  • In the month of May 2019, Norfolk International Airport
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!