The amount at a given time can be calculated by multiplying the previous amount by a value less than 1, which represents exponential decay. Hence, option B is the right choice.
What does linear function mean?A quantity grows (or depreciates) linearly if it increases (or decreases) by the same amount per unit of time.
What does exponential function mean?A quantity grows (or depreciates) exponentially if the increase (or decrease) in the amount is a multiple of the previous amount.
How to solve the question?In the question, we are asked to identify the option that best describes an exponential decay.
We assess each option and try to identify the exponential decay among them.
A. The amount at a given time can be calculated by multiplying the previous amount by a value greater than 1: This is an exponential function as it is multiplied by the previous amount, but it shows exponential growth as the quantity multiplied is greater than 1.B. The amount at a given time can be calculated by multiplying the previous amount by a value less than 1: This is an exponential function as it is multiplied by the previous amount, and it shows exponential decay as the quantity multiplied is less than 1.C. The amount at a given time can be calculated by adding an amount to the previous amount: This is a linear function as a fixed quantity is added.D. The amount at a given time can be calculated by subtracting an amount from the previous amount: This is a linear function as a fixed quantity is subtracted.Therefore, the amount at a given time can be calculated by multiplying the previous amount by a value less than 1, which represents exponential decay. Hence, option B is the right choice.
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The speed of a train is 90 km per hour so how much will it be in m /s .
Answer:
90km/h in m/s will be
90×1000m/3600s ( convert 1km/1h to 1000m/3600sec )
=> 25m/s
we have: 90 km/h = 90 ÷ 3,6 = 25 m/s
Ok done. Thank to me :>
A restaurant worker earns a set amount per hour from their employer. They also receive tips from customers. Their
earnings most closely rese]nble those of which of the following?
a. An employee working on straight commission
An employee working on commission plus salary
An employee working on a piece-rate basis
An employee working on a fixed salary
b.
C
d.
Please select the best answer from the choices provided
Ο Α
B
оооо
D
Mark this and return
Save and Exit
Next
Submit
Answer:
an employee working on commission plus salary.
Step-by-step explanation:
salary is the hourly rate
commission is tips
Answer:
B - An employee working on commission plus salary
Step-by-step explanation:
How many solutions does this system have?
y = 2/3x + 3
2x - 3y = -9
A. one solution (what i think) ****
B. two solutions
C. no solutions
D. infinitely many solutions
Answer:ONE solution.
Step-by-step explanation:
I need Someone to help me with this problems equation and answer must be correct (100 Points)
Answer:
1) 3x+18=45 x=9
2)8-5x=-7 x=3
3)3+2x=15 x=6
4) 12million - 2 million = 10 million
Step-by-step explanation:
hello comment anything
I like anime and sleeping✌
Answer:
i like food, money, and games
Step-by-step explanation:
E
What is the slope of the line?
Answer:
-1/2
Step-by-step explanation:
Pick 2 points on the line, that are real whole numbers. I used (-3,-3) and (-1,-4)
Calculate the slope using rise over run. -4-(-3)=-1
-3-(-1)=2
Or, after choosing the dots, you can make a triangle
What is 29−−√?
What 2 numbers does it fall between when placed on a number line?
Question 5 options:
Between 5 - 5.5
Between 4 - 4.5
Between 4.5 - 5
Between 5.5 - 6
What is the probability that Tom, Ana, and Julio will all win if there are
four candidates chosen for four seats? There are still ten candidates
running.
Answer:
1/30
Step-by-step explanation:
(2x + 3y)^2– (2x – 3y)^2
Hi,
(2x + 3y)² - (2x - 3y)²
(a + b)² = a² + 2ab + b²(a - b)² = a² - 2ab + b²= [(2x)² + 2x*3y + (3y)²] - [(2x)² - 2x*3y + (3y)²]
= (4x² + 6xy + 9y²) - (4x² - 6xy + 9y²)
= 4x² + 6xy + 9y² - 4x² + 6xy - 9y²
= 12xy
I hope it helped ✅(◠‿◕)
Help with this polynomial problem.
Answer:
i cannt see it
Step-by-step explanation:
Does anyone know how to do this?
Answer:
∠ GFC = 67°
Step-by-step explanation:
The sum of the 3 angles in Δ BCF = 180° , then
∠ FCB + 73° + 40° = 180°
∠ FCB + 113° = 180° ( subtract 113° from both sides )
∠ FCB = 67°
∠ GFC and ∠ FCB are alternate angles and are congruent , so
∠ GFC = 67°
Hailey collected 215 cans and 475 newspapers for recycling. Each can weighs 15 grams. What is the total weight of the cans that Hailey collected?
? x 15 =?
Answer:
3225 grams
Step-by-step explanation:
215 x 15
Write down the first five terms of the geometric progression with
the first term 3 and common ratio 2 , then find the 17th .
Step-by-step explanation:
s1 = 3
s2 = 3×2 = 6
s3 = 6×2 = 12
s4 = 12×2 = 24
s5 = 24×2 = 48
sn = sn-1 × 2 = s1 × 2^(n-1)
s17 = 3 × 2¹⁶ = 3 × 65,536 = 196,608
Air is being pumped into a spherical balloon at the rate of 7 cm3/sec. What
is the rate of change of the radius at the in stant the volume equals 36π cm3
? The volume of
the sphere of radius r is (4 over PI )r power of 3
Answer:
Step-by-step explanation:
[tex]V=\frac{4}{3} \pi r^3\\\frac{dV}{dt} =\frac{4}{3} ~\pi \times ~3r^2\frac{dr}{dt} \\\frac{dV}{dt} =4\pi r^2\frac{dr}{dt} \\7=4\pi r^2\frac{dr}{dt} \\\frac{dr}{dt} =\frac{7}{4\pi r^2} \\when~V=36 \pi cm^3\\36\pi =\frac{4}{3} \pi r^3\\r^3=\frac{36\pi \times 3}{4\pi } =27=3^3\\r=3~cm\\\frac{dr}{dt} =\frac{7}{4\pi \tmes 3^2} \\\frac{dr}{dt} =\frac{7}{36 \pi } cm/sec[/tex]
In one serving of a fruit smoothie, the ratio of the number of ounces of water to the
number of ounces of fruit is 3 to 4.
Drag the numbers into the table to show how many ounces of water and fruit are
needed for different numbers of servings.
The ratios of ounces of water and fruits for different servings are:
1 serving = 3/4
2 servings = 6/8
3 servings = 9/12
4 servings = 12/16
5 servings = 15/20
What is a ratio?A ratio is an ordered pair of numbers a and b.
It is written as:
a / b
where b does not equal 0.
A proportion is an equation in which two ratios are set equal to each other.
We have,
In one serving:
= 3/4
The ratio of ounces of water to the ounces of fruit is 3/4.
In every number of servings, the ratios must be in proportion so,
We have the following cases:
2 servings:
= 3x2 / 4x2
= 6/8
3 servings:
= 3x3 / 4x3
= 9/12
4 servings:
= 3x4 / 4x4
= 12/16
5 servings:
= 3x5 / 4x5
= 15 / 20
Thus the ratios of ounces of water and fruits for different servings are:
1 serving = 3/4
2 servings = 6/8
3 servings = 9/12
4 servings = 12/16
5 servings = 15/20
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It took Corinne 3 hours to do 12 pages of homework. How many pages of homework did she do per hour?
Answer: Check explanation.
Step-by-step explanation: If Corinne did 12 pages in 3 hours, then for each hour we have 12 by 3. We get 4, which means that every 1 hour she does 4 pages of homework. Hope this helped!
whats 3-6h if h = -1
Answer:
9
Step-by-step explanation:
First, you input -1
6(-1)=-6
3-(-6) is the same as 3+6
The answer is 9
If a function is restricted, is there no end behavior?
Answer:
If a function is restricted, it still has an end behavior!!!
Step-by-step explanation:
Let's say we have f(x)=(x-4)^2, x≥4.
If this function is graphed, we can see that the line starts at (4,0). It only has one side to it.
This means that it is restricted on the left side. In other words, x has to be greater than or equal to 4.
However, just because this function is restricted doesn't mean it doesn't have an end behavior!
As we can see, the graph continues on into eternity. As a result, we can write the end behavior as:
x --> ∞, f(x) --> ∞
There is no end behavior for the left side because that's where the graph is restricted.
Hope this helps!
Which number can each term of the equation be multiplied by to eliminate the fractions before solving? -3/4m-1/2=2+1/4m
Answer:
4
Step-by-step explanation:
Looking at the fractions, -3/4 and 1/2 and 1/4, you can see the LCD or least common denominator is 4.
Thus you get -3, 2, and 1 respectively by multiplying each fraction by 4.
The path of a race will be drawn on a coordinate grid like the one shown below. The starting point of the race will be at (−5.3, 1). The finishing point will be at (1, −5.3).
Part A: Use the grid to determine in which quadrants the starting point and the finishing point are located. Explain how you determined the locations. (6 points)
Part B: A checkpoint will be at (5.3, 1). In at least two sentences, describe the difference between the coordinates of the starting point and the checkpoint, and explain how the points are related. (4 points)
The Cartesian coordinate plane, specify locations by a pair of coordinates that indicate the magnitude in perpendicular, x, and y directions
The correct responses are;
Part A: The starting point is in the second quadrant and the finishing point is in the fourth quadrant.Part B: The starting point and the check point are on different quadrant. Both points are on the same horizontal line.Reasons:
The location of the start point of the race = (-5.3, 1)
Location of the finishing point = (1, -5.3)
Part A: The signs of the x and y-values in the quadrants are;
[tex]\begin{tabular}{|cc|c|}Quad II, x -ve, y +ve&&Quad I, x, and y are +ve\\&&\\Quad III, x -ve, y -ve&&Quad IV, x +ve, y -ve\end{array}\right][/tex]The coordinates of the starting point is (-5.3, 1), therefore, given that the x-
coordinate is negative and the y-coordinate is positive, the quadrant of the
starting point is quadrant II (the second quadrant).
The quadrant of the starting point is the second quadrant.The coordinates of the finishing point is (1, -5.3), the x-value is positive and
the y-value is negative, which indicates that the quadrant of the finishing
point is quadrant IV (the fourth quadrant).
The quadrant of the finishing point is the fourth quadrant.Part B: The location of the checkpoint is; (5.3, 1)
The difference is that the x-value of the checkpoint is positive while the x-value of the starting point is negative, and they are therefore on different quadrants.
The similarity is that, the magnitude of the x, and y values of the coordinates of the check point and the starting point are the same. Therefore, the checkpoint and the starting point are on the same horizontal line.
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what is the value of x in x(a+b)=b(c-x)
Answer:
x = [tex]\frac{bc}{a+2b}[/tex]
Step-by-step explanation:
x(a + b) = b(c - x) ← distribute parenthesis on both sides
ax + bx = bc - bx ( add bx to both sides )
ax + 2bx = bc ← factor out x from each term on the left side
x(a + 2b) = bc ← divide both sides by (a + 2b)
x = [tex]\frac{bc}{a+2b}[/tex]
Determine the quotient of 4/5 divided by 4
Answer:
it will probably be 1/5
hope I am correct and sorry if not.
Can someone help me on this math problem please
Answer:
CPCTC
Step-by-step explanation:
In each case the half-angles resulting from bisecting the angles are corresponding parts of congruent triangles, hence congruent themselves. (CPCTC)
When a segment divides an angle into two congruent parts, it is an angle bisector.
PLS HELP
A line passes through (5, 3) with a slope of 3/5. Plot at least 3 points on this line
PLEASE ANSWER ILL GIVE 5 STARS AND A HEART!!!
Answer:
120
Step-by-step explanation:
5x6 = 30
30x4= 120
How long it would it take to spread a rumor in a town of 90,000 people if each person who heard the rumor told it to 3 new people every 15 minutes?
Answer:
it would take 30k minutes, equivalent to 500 hours/almost 21 days/almost 3 weeks
Step-by-step explanation:
A strand of bacteria has a doubling time of 15 minutes. If the population starts with 10 organisms, how long would it take for the population to grow to 700 organisms?
Answer:
between 1hr 30 and 1hr 45
Step-by-step explanation:
10*2=20 15
20*2=40 30
40*2=80 45
80*2=160 60
160*2=320 1hr 15
320*2=640 1hr 30
In 90 minutes the population to grow to 700 organisms.
Given that,
A strand of bacteria has a doubling time of 15 minutes.
If the population starts with 10 organisms.
We have to determine,
How long would it take for the population to grow to 700 organisms?
According to the question,
A strand of bacteria has a doubling time of 15 minutes.
If the population starts with 10 organisms.
In 15 minutes strand of bacteria has a doubling time the population starts with 10 organisms.
[tex]\rm = 10 \times 2 = 20 \ bacteria[/tex]
In 15 minutes 20 bacteria for the population to grow.
In 30 minutes strand of bacteria has a doubling time the population starts with 20 organisms.
[tex]\rm = 20 \times 2 = 40 \ bacteria[/tex]
In 30 minutes 40 bacteria for the population to grow.
In 45 minutes strand of bacteria has a doubling time the population starts with 40 organisms.
[tex]\rm = 40 \times 2 = 80 \ bacteria[/tex]
In 45 minutes 80 bacteria for the population to grow.
In 60 minutes strand of bacteria has a doubling time the population starts with 80 organisms.
[tex]\rm = 80 \times 2 = 160 \ bacteria[/tex]
In 60 minutes 160 bacteria for the population to grow.
In 75 minutes strand of bacteria has a doubling time the population starts with 160 organisms.
[tex]\rm = 160 \times 2 = 320 \ bacteria[/tex]
In 75 minutes 320 bacteria for the population to grow.
In 90 minutes strand of bacteria has a doubling time the population starts with 320 organisms.
[tex]\rm = 320 \times 2 = 640 \ bacteria[/tex]
In 90 minutes 640 bacteria for the population to grow.
In 120 minutes strand of bacteria has a doubling time the population starts with 640 organisms.
[tex]\rm = 640 \times 2 = 1280 \ bacteria[/tex]
In 120 minutes 1280 bacteria for the population to grow.
Hence, In 90 minutes the population to grow to 700 organisms.
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What is the vertex of f(x) = 3Ix-2I +4?
Answer: (2,4)
Step-by-step explanation:
Vertex
|0-2| = 0
|-2| = 0
The graph is shifted 4 units up so therefore (2,4) is the vertex
PLEASE HELP!!!!!!!!!!!!! ASAPPP
Answer:
JO !
Step-by-step explanation:
get he exponet out the way
\
that leaves you with 3+4x1
do 4x 1 that equals 4
3+ 4 = 7
Hey there!
3 + 4 × 1^2
= 3 + 4 × 1
= 3 + 4
= 7
[Jo is correct] whereas Mia is incorrect because she misunderstood the question.
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
How many time can 3/8 go into 12?
Answer:
32
Step-by-step explanation:
This is a division problem.
12 divided by 3/8.
12 ÷ 3/8 = 12/1 × 8/3 = (12 × 8)/(1 × 3) = 4 × 8 = 32
Answer: 32