Equations of Exponential Functions
The table of values below represent an exponential function.
Write an exponential equation that models the data.
a. y = 18.2(1.7)× c. y = 26(0.7)×
b. y = 12.71(1.3)× d. y = 12.74(0.7)×
Please select the best answer from the choices provided
Answers
Y=12.74(.7)^x
If x is 0 and y is 12.74, Plug in 0 to x
Any number with an exponent of 0 will automatically be equal to 1, therefore 12.74 times 1 is 12.74 :)
The initial value where x=0, y is 12.74 and the exponential function is
y = 12.74(0.7)×.
Option D is correct.
What is Exponential Function?The formula f(x) = [tex]a^x[/tex] defines an exponential function, where x is the input variable as an exponent. The exponential curve is determined by the exponential function and the value of x.
The quantity drops rapidly at first, then slowly in Exponential Decay. The rate of change slows over time. As time passes, the rate of change slows.
We know the formula for an exponential function is
y= a [tex]b^x[/tex]
where a is initial value and b is growth factor.
Now, we have to find the growth factor as
We can observe from the table that the values of y decrease as x increases.
That is an example of an exponential decay function.
In an exponential decay function, the value of a growth/decay factor b is always smaller than 1.
Thus, the initial value a= 12.74 and growth factor b=0.7 that is less than 1.
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Related Questions
Help pls help me with this question
Answers
Answer:
E 16 cm
5cm + 5cm = 10cm
3cm + 3cm = 6cm
10cm + 6cm
= 16 cm
5×3=15 so 15 is your answer
Need help ASAP!! Plssss
Answers
Answer: b that is too easy
Step-by-step explanation:
Explanation: cause 2 plus 4 times 5 seem like a reasonable answer because 2 and 4 are in the same width so u have to add the times length which is 5
To serve 1 person at a local restaurant it takes 10 minutes. To serve 5 people it takes 18 minutes. Using the points (1, 10) and (5, 18), find the slope between the two points. The formula for slope is m =y2 - y1/x2 - x1
(a) m=2
(b) m= -2
(c) m= -5
Answers
9514 1404 393
Answer:
(a) m = 2
Step-by-step explanation:
The formula tells you the slope is ...
m = (18 -10)/(5 -1) = 8/4
m = 2
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Answers
4 units^2
step-by-step explanation:
a = 1/2bh
a = 1/2(2)(4)
a = 1(4)
a = 4
1. In the diagram below which expression represents x, the measure of the exterior angle shown?
Answers
Answer:
a) a + b
Step-by-step explanation:
The value of the exterior angle x will be (a+b).
What is an exterior angle?The angle made by the two lines of the figure which lie on the outside of the closed figure is called the exterior angle.
The exterior angle is the sum of the two opposite internal angles of any figure.
The exterior angle in the given figure will be equal to x = a+b the sum of the two opposite interior angles.
Therefore the value of the exterior angle x will be (a+b).
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Find the zeros of the following function
Answers
Answer:
15 and -20
Step-by-step explanation:
The zeros/ roots are the x intercepts of the graph
use demoivre's theorem to evaluate the expression (3(cos cos(5pie/6)+isin(5pie/y))))^4 write the answer in rectangular form.
Answers
By DeMoivre's theorem,
(3 (cos(5π/6) + i sin(5π/6)))⁴ = 3⁴ (cos(4×5π/6) + i sin(4×5π/6))
… = 81 (cos(20π/6) + i sin(20π/6))
… = 81 (cos(10π/3) + i sin(10π/3))
… = 81 (cos(-2π/3) + i sin(-2π/3))
… = 81 (cos(2π/3) - i sin(2π/3))
… = 81 (-1/2 + √3/2 i )
… = -81/2 + 81√3/2 i
Please help giving brainliest please
Answers
Answer:
$87025
Step-by-step explanation:
Net worth is assests minus liabilities
you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct
Answers
Answer:
$6.33
Step-by-step explanation:
42.40 x 0.15 = $6.33
Complete the sentence. __is 6 times as much as 2.
Answers
Answer:
1/3
Step-by-step explanation:
2 divided by 6 is 1/3 and 1/3 times 6 is 2
Given: AE = 3, CE = 5 and ED is 4 less than EB find EB. Please give a step-by-step explanation. The best answer will receive brainliest (50 pts)
Answers
Answer:
EB = 10
Step-by-step explanation:
For this problem, you can use the power of a point, in the situation where two secants intersect in the interior of a circle. The formula is as follows:
CE * ED = AE * EB
(This is applied specifically to this problem)
We can substitute the values given,
5 * (x - 4) = 3 * x
simplify,
5x - 20 = 3x
and solve.
2x - 20 = 0
2x = 20
x = 10
Since the value of EB is x, EB = 10.
What is the expression?
Answers
Answer:
F=1.8C+32
113°F
Step-by-step explanation:
F=1.8C+32
F=1.8(45)+32
F=81+32
F=113
Answers:
The expression is 1.8C+32The given Celsius temperature converts to 113 degrees Fahrenheit==================================================
Explanation:
C = temperature in Celsius
1.8C = multiply C by 1.8
1.8C+32 = add on 32
The expression 1.8C+32 is the first part of the answer.
This represents the temperature in Fahrenheit.
----------
Now replace C with 45 and use the order of operations (PEMDAS) to simplify
1.8*C + 32
1.8*45 + 32
81 + 32
113
Therefore, 45 degrees Celsius converts to 113 degrees Fahrenheit.
A certain retail store bases its staffing on the number of customers that arrive during certain time slots. Based on prior experience this store expects 32% of its customers between 8:00 am and 12:00 pm; 21% of its customers between 12:00 pm and 4:00 pm; 35% of its customers between 4:00 pm and 8:00 pm; and 12% of its customers between 8:00 pm and midnight. On a certain day, the store had 214, 198, 276, and 134 customers in those time slots, respectively. Should the store change its staffing? What was wrong with this solution?
Answers
Answer:
Step-by-step explanation:
Based on the data gathered on that certain day, I would say NO, the store does not need to change its staffing. The data shows that the percentages calculated by the store are extremely close to the actual percentage of people that arrived at those given hours throughout the day. The problem with this solution is that it does not take into account special circumstances, such as specific days, events, holidays, new popular items, etc. All of these can drastically affect the number of people that enter the store at a given time.
1. The retail store should not change its staffing arrangement.
2. Changing the staffing arrangement may not favor the retail store.
Data and Calculations:
8:00 am & 12:00 pm & 4:00 pm & 8:00 pm &
12:00 pm 4:00 pm 8:00 pm midnight
Expected % of customers 32% 21% 35% 12%
Actual number of customers 214 198 276 134
Total Number of customers = 822 (214 + 198 + 276 + 134)
Actual % of customers 26% 24% 34% 16%
Difference between expected percentage of
customers and actual 6% 3% 1% -4%
Variation 0.36% 0.09% 0.01% 0.16%
Sum of variation = 0.62%
Standard Deviation = 0.787
Thus, based on the standard deviation, the store should not change its staffing.
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Please help, I will mark you brainiest, thank you!!
Answers
110-30=80/8=10
Your answer is x = 10
please help will give brainliest
Answers
Answer:
c
Step-by-step explanation:
10 times 8 = 80
80 times 3 = 240
Answer:
A
Step-by-step explanation:
length times width times height will give you volume
The first year Eleanor organized a fund-raising event,
she invited 30 people. For each of the next 5 years,
she invited double the number of people she had
invited the previous year. If f(n) is the number of
people invited to the fund-raiser n years after
Eleanor began organizing the event, which of the
following statements best describes the function f?
Answers
Explanation
-4/3 x + (-1) =y what is the slope of this line?
Answers
Answer: y= -4 divided by 3 • x (-1)
Step-by-step explanation:
✨photo math✨
A car rental company charges a daily fee of $12.95 on all rental cars.
What is the cost for 3 days?
A
$25.90
B
$36.75
С
$38.85
D
$45.23
Answers
Answer:
C
Step-by-step explanation:
Sorry if I’m wrong but I think I’m right
Answer:
answer is C
Step-by-step explanation:
it's just 12.95 times 3
the driving distance fom pongola to piey retief alongN2is 105km if a taxi driver at an average speed of 80KM /H calculate the time per minutes
Answers
Answer:
78.75min
Step-by-step explanation:
t=S/v
105km/80km/hr
=1.3125hr
1.3125hr =78.75min
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Answers
Answer:
thanks i appreciate it
Answer:
Thank you Do you Have a question Or?
Which is closest to the height of a pine tree?
Answers
Popcorn at the Movies - Exit Slip
You and a friend go to the movies and decide to share a large bucket of popcorn. Write a story to describe the graph.
Answers
All rectangles are parallelograms. Are all parallelograms
rectangles? Explain.
Answers
Answer: No
Step-by-step explanation: a rectangle can be a parallelogram because it qualifies to be a parallelogram however a parallelogram can’t be a rectangle because a rectangle has all 90 degree angles and that opposite sides can be equal and parallelograms come in different forms
Alan has 11 nickels and
dimes in his pocket. When
he counted his change he
found he had $0.95. How
many dimes does Alan
have?
Answers
Answer:
4
Step-by-step explanation:
Nickels are 5 cents a piece so you will multiple 11 by 5 to find how much Alan has in nickels. Then subtract that from the total of 95 to get your answer.
11 × 5 = 55
95 - 54 = 40
Since dimes are worth 10 cents you divide 40 by 10 and that is how many dimes Alan has.
40/10=4
jose runs 6 miles in 55 minutes. at the same rate, how many miles would he run in 44 minutes
Answers
Answer:
4.8 miles
Step-by-step explanation:
have a good day!
Answer:
4.8 Miles
Step-by-step explanation:
What type of counting problem is this? How many different sequences of 3 playing cards (from a single 52-card deck) exist?
Combination without repetition
Permutation without repetition
Permutation with repetition
Combination with repetition
Answers
Answer:
Permutation without repetition
Step-by-step explanation:
The order of the cards matter, which makes it a permutation, but since none of the cards are exactly the same, repetition isn't allowed/possible
The problem is of the type permutation without repetition.
What is permutation and combination?
Permutation and combination are the methods used in counting how many outcomes are possible in various situations. Permutations is used in the case of arrangements and combinations is used in the case of selections.
What will use in the given scenario?In the given scenario, the order of cards is a priority therefore, permutation will use.
Also, the cards are not repeating in the scenario.
Therefore, the sequence is permutation without repetition.
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he heights of young women aged 20 to 29 follow approximately the N(64, 2.7) distribution. Young men the same age have heights distributed as N(69.3, 2.8).Height is measured in inches.A young woman in that age group is randomly selected; independently, a young man in that age group is randomly selected. What is the probability that the young man is taller than the young woman by more than 5 inches
Answers
Answer:
0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Distribution of the difference in height between men and woman:
Applying the concept above:
[tex]\mu = 69.3 - 64 = 5.3[/tex]
[tex]\sigma = \sqrt{2.7^2 + 2.8^2} = 3.89[/tex]
What is the probability that the young man is taller than the young woman by more than 5 inches?
Probability of the difference being more than 5 inches, that is, 1 subtracted by the pvalue of Z when X = 5.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{5 - 5.3}{3.89}[/tex]
[tex]Z = -0.08[/tex]
[tex]Z = -0.08[/tex] has a pvalue of 0.4681
1 - 0.4681 = 0.5319
0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches
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PLEASE ANSWER !! ILL GIVE BRAINLIEST !!
50 POINTS !!
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Answers
Answer:
<1=62
<2=83
<3=35 this is the answer of this question
Solve the equation.
3(x−9)=30
Answers
Answer:
19
Step-by-step explanation:
3(x-9)= 3x-27
3x-27=30
3x=57
x=19
The surface area of a cube is 6 square centimeters. What is its volume, in cubic
centimeters?
Answers
Answer:
1 cubic centimeter is the volume
Step-by-step explanation:
the surface area is 6
6 = 6a^2
1 = a^2
1 = a
L * W * H = ?
1 x 1 x 1 = 1
1 is the volume
have a good day!