Answers
The exponential function defined in this problem is given as follows:
y = 81(1/3)^x - 3.
How to define an exponential function?An exponential function has the definition presented as follows:
y = ab^x.
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.The exponential function in this problem has an horizontal asymptote at y = 3, hence it is defined as follows:
y = ab^x - 3.
When x increases by 1, y is divided by 3, hence the parameter b is given as follows:
b = 1/3.
Hence:
y = a(1/3)^x - 3.
When x = 3, y = 0, hence the parameter a is given as follows:
0 = a(1/3)³ - 3
a/27 = 3
a = 81.
Hence the function is defined as follows:
y = 81(1/3)^x - 3.
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Related Questions
Thank you to who it is that helps me!
Answers
Answer:
B
D
D
Step-by-step explanation:
please verify and rate 5 stars and say thank you
Lauren's scores on her math tests were 96, 95, 98, 92, 94, 93, and 97. What score could Lauren get on her next math test so that the mean and median remain the same? Complete the explanation. The score on her next test that would keep her mean and median the same would be Because her mean and median are already another score of this value would not alter the mean or the median.
Answers
Answer:
Lauren needs to get 95 on her next math test so that the mean and median remain the same
Step-by-step explanation:
92+93+ 94+ 95+96+97+98 = 665
665/2 =95
mean=95
median=95
x= score could Lauren get on her next math
(665+ x)/8 =95
multiply both sides by 8 to eliminate fraction
665 +x = 760
x=95
So now the median is the same
(95+95)/2=95
shorcut:
with 7 scores 95 is the median(in the middle)
with 8 scores ,we need a number that added to 95 and divided by 2 is still 95 That number is 95
Need help finding 2 more points on the line for question # 12(3,8) and (-4,8)Slope= 0I already know the slope I only need help solving for 2 more points on the line
Answers
Given two points on the line:
(3, 8) and (-4, 8), then the slope is:
m = (8 - 8)/(3 - (-4)) = 0
So, we have a horizontal line, and its equation is given by:
y = 8.
Then, any two points on the xyplane having y-coordinate = 8 are on the line. For instante:
(0, 8) and (1, 8) are two more points on the line.
7/2 times 19/7 . give answer in simp
list form
Answers
Answer:
9.499
Step-by-step explanation:
7/2=3.5
19/7=2.714
2.714 × 3.5=9.499
Answer:
9.5
Step-by-step explanation:
anime is the key
What is the value of the y-coordinate of point A?
A.) sin(pi/6)
B.) cos (pi/6)
C.) sin(11pi/6)
D.) cos(11pi/6)
E.) sin(13pi/6)
F.) cos(13pi/6)
Answers
Answer:
C.) sin(11pi/6)
Step-by-step explanation:
construct triangle with a side perpendicular to x-axis
y=(-1)sin(pi/6)
y=sin(-pi/6)
y=sin((-pi/6)+2pi)
y=sin(11pi/6)
9 times (3+2)= (9 times ) +(9 times ) =
Answers
Answer:
9(3+2) = 45
9 * 9 = 81
Step-by-step explanation:
i dont know how to explain its 81 though
the receipt you are using indicate that a mixture should be heated to a temperature of 132F.The mixture is currently at 109F. how many more degrees d does the mixture need to be heated
Answers
The mixture must be heated an amount of 23 °F to reach a temperature of 132 °F.
How much must the receipt be heated to be at recommended temperature?
Temperature is the measure of how "hot" a system is. Physically speaking, temperature is closely related to atomic and molecular motion within a system. In this problem we find a mixture that must be at a certain temperature, higher than its real one.
Therefore, the amount required to increase the temperature of the mixture is defined by following subtraction:
ΔT = R - r
Where:
ΔT - Temperature difference, in degrees Fahrenheit.r - Real temperature, in degrees Fahrenheit.R - Expected temperature, in degrees Fahrenheit.If we know that r = 109 °F and R = 132 °F, then the temperature difference is:
ΔT = 132 °F - 109 °F
ΔT = 23 °F
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15
A house cleaning company charges $25 to come to a
customer's home. Then the company charges $50 per
hour for the time the employee spends cleaning.
Graph a line that best represents the relationship
between x, the number of hours the employee works,
and y, the amount the company charges in dollars.
Answers
Answer:
The amount the company charges in dollars can be represented as a linear function of the number of hours the employee works. We can use the slope-intercept form of a linear equation to graph this relationship:
y = mx + b
where y is the amount charged in dollars, x is the number of hours worked, m is the hourly rate charged by the company, and b is the initial charge for coming to the customer's home.
In this case, we have:
m = $50/hour (hourly rate)
b = $25 (initial charge)
Substituting these values into the equation, we get:
y = 50x + 25
This is the equation of a line with a slope of 50 and a y-intercept of 25. To graph this line, we can plot the y-intercept at (0, 25) and then use the slope to find other points on the line. For example, if the employee works for 1 hour, the company will charge:
y = 50(1) + 25 = $75
So we can plot the point (1, 75) on the graph. Similarly, if the employee works for 2 hours, the company will charge:
y = 50(2) + 25 = $125
So we can plot the point (2, 125) on the graph.
By connecting these points with a straight line, we get the graph of the linear function that represents the relationship between the number of hours worked and the amount charged by the company:
Step-by-step explanation:
In order to avoid power failures due to falling limbs and down trees, power companies will intentionally kill trees growing near their lines. Applying a chemical to slow the growth of the trees is cheaper than trimming, but the chemical kills some of the trees. Suppose that one such chemical would kill 25% of elm trees. The power company tests the chemical on 300 elms. Consider these an SRS from the population of all elm trees.
A) What are the mean and standard deviation of the proportion of trees that are killed?
B) Is it okay to use normal calculations for this problem? Explain.
C) What is the probability that at least 26% of the sample is killed?
Answers
Answer:
a)
Sample mean p = 25% = 0.25
standard deviation σ = 0.025
b)
YES, it okay to use normal calculations for this problem since the sample size is 300, hence np>10 and nq>10
so the conditions satisfied for normal approximation/calculations
c) the probability that at least 26% of the sample is killed is 0.6554
Step-by-step explanation:
Given the data in the question;
Suppose that one such chemical would kill 25% of elm trees. The power company tests the chemical on 300 elms
sample size n = 300
a) What are the mean and standard deviation of the proportion of trees that are killed?
Sample mean p = 25% = 0.25
standard deviation σ = √( pq / n ) = √( (0.25 × (1 - 0.25)) / 300 )
σ = √( (0.25 × 0.75) / 300 )
σ = √( 0.1875 / 300 )
σ = √0.000625
σ = 0.025
standard deviation σ = 0.025
b) Is it okay to use normal calculations for this problem?
YES, it okay to use normal calculations for this problem since the sample size is 300, hence np>10 and nq>10
so the conditions satisfied for normal approximation/calculations
c) the probability that at least 26% of the sample is killed
Now we are to find
P( P < 0.26 )
since its a normal approximation, we can convert p to z
so
P( P < 0.26 ) = P( Z < ( x-p / σ )
P( P < 0.26 ) = P( Z < ( 0.26-0.25 / 0.025 )
= P( Z < (0.01 / 0.025) )
= P( Z < 0.4 )
form z score table; P( Z < 0.4 ) = 0.6554
so
P( P < 0.26 ) = 0.6554
the probability that at least 26% of the sample is killed is 0.6554
9,000 ÷ 100 = blank÷ 1
Answers
if the coefficient a in the general quadratic equation is equal to 9, what is the focal length for
the parabola, c’,equal to?
Answers
The focal length of the parabola whose coefficient a is equal to 9, is 1/36.
What is focal length?
In a two-dimensional plane, a parabola is a curve that is symmetrical about the axes, passes through the vertex, and is perpendicular to the directrix. In other words, the locus of points that are equally spaced apart from the directrix and the fixed point, let's call it focus, is a parabola. The distance along the axis of symmetry from the vertex to the focus of the parabola is known as its focal length.
The focal length of a parabola is calculated as c' = 1/4a
In the given question, c' is the focal length and the coefficient a is the general quadratic equation and a=9.
Substituting the above values, in the focal length equation, we get,
c' = 1/(4*9)
⇒ c' = 1/36
Hence, the focal length of the parabola whose coefficient a is equal to 9, is 1/36.
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What is the range of |x|-7?
Answers
Answer:
3 2/5 +(3/2+3/5)×6/5÷3/2-10 1/2× 2/2
Two horses start a race at the same time. Horse A gallops at a steady rate of 32 feet per second and Horse B gallops at a steady rate of 28 feet per second.
After 5 seconds, how much farther will Horse A have traveled?
Answers
Answer:
Answer: 20 feet further
Step-by-step explanation:
Answer:
horse A will have travel 20 feet farther than horse B
Need to find the Step by step how to do this problem?
Answers
Answer:
y=10x+125
Step-by-step explanation:
rise over run, so y goes up by 10 each time and x goes up by one each time so that's your X, your b is where it starts at zero so if you did -1 for x you get zero but you have to do that with the y also so 135-10=125, 125 is where your y starts and that's your b
Solve for u. -5u/8=-10
Answers
Answer:
u 16
Step-by-step explanation:
(-5a^2)^3•a^5find the product.
Answers
To find the product we need to remember the following rules:
\(a^na^m=a^{n+m}\)and
\((a^n)^m=a^{nm}\)With this in mind:
\(\begin{gathered} (-5a^2)^3a^5=(-5)^3(a^2)^3a^5 \\ =-125a^6a^5 \\ =-125a^{11} \end{gathered}\)What is the range of U.S. property tax rates?
Answers
Evaluate the expression 7'2/x'2-2 for X=3
Answers
Answer:
7
Step-by-step explanation:
7²÷3²-2 = 49/9-2 =49/7 =7
which of the following graphs describes the solution set of -4/5x-13/5>=-9?
Answers
Answer:
Hey Bud
your answer is x ≤ 8
Step-by-step explanation:
should be closed dot pointing to the negative numbers
Let's solve your inequality step-by-step
Step 1: Simplify both sides of the inequality.
Step 2: Add 13/5 to both sides.
Step 3: Multiply both sides by 5/(-4).
Little help ?please 5 points
Tawna and Donnie Milled cartons with bottles, Tawna put in 10 bottles and Bonnie put in a bottles, How many bottles does each carton hold?
Answers
Answer:
I Think E But Im Not Sure About It
I don’t know the answer please help me out
Answers
Explanation:
1/3 x 45 is 15, so the comparison is correct because 15 is less than 45.
the rest of the choices are incorrect because:
B. 60 < 60 x 3/4 is wrong because 60 x 3/4 = 45 which is LESS than 60, not greater
C. 20 x 1/5 >20 is wrong because 20 x 1/5 = 4 which is LESS than 20, not greater
D. 25 < 2/3 x 25 is wrong because 2/3 x 25 = 16 2/3 which is LESS than 25, not greater
Have a nice day (brainliest pls tysm!)
Two fifths of the vegetables in priyas garden are tomatoes. How many tomatoes are there if priyas garden has 20 vegetables
Answers
Answer:
8 tomatoes
Step-by-step explanation:
We can find the number of tomatoes by multiplying 2/5 by 20.
(2*20)/5 = 40/5 = 8
Ike's kitten Stripe eats ¼ can of cat food daily. His cat Jack eats ½ can of food per day. Cat food costs $0.50 per can. How many cans will Ike need to feed both of his cats for 5 days? 21 days? 60 days? How much will it cost?
Answers
Answer: in 5 days they would eat 3 3/4 cans of cat food which costs 1.875 USD. in 21 days they would eat 15.75 cans of cat food which costs 7.875 USD. In 60 days they would eat 45 cans of cat food which costs $22.50.
4. Malaki has a 'no interest-free period' credit card that charges 16.5% p.a. interest. On 9 January he purchases a phone costing K395.00. His January statement is dated 28 January and the phone is the only item on it.
a. How much interest is charged on the January credit card statement?
b. Malaki pays K100.00 off the amount owed on 28 January and makes no more purchases or payments before the next credit card statement arrives on 28 February. How much will this statement show that Malaki owes?
Answers
Answer:
K5.60.
Step-by-step explanation:
One factor in the expression 5(n + 4) is 5. What is the second factor?
Answers
Answer:
n+4
Step-by-step explanation:
A factor is what makes up a multiplication sentence. It is a number that is multiplied with another number that gives us the product, the answer to a multiplication sentence.
hi I need help on this!!
Answers
Answer:
VOLUME OF THE CYLINDER=πr²h
=3.14×4²×9
=3.14×16×9
=452.16 mm³
What type of transformation is shown?
Answers
Answer:
the third one.
Step-by-step explanation:
clockwise rotation of 90*
Answer:
clockwise rotation of 90 degrees
Step-by-step explanation:
Please put me as brainliest answer :)
Neil put on a blindfold and picked 72 jelly beans from a jar.
Is this sample of the jelly beans in the jar likely to be representative?
Yes or no?
Answers
a=bx+cx+d
solve for x
Answers
x=a-d/b+c
Step-by-step explanation:
Hope this helps! :)
Answer:
( a - d )/(b + c) = x
Step-by-step explanation:
solve the literal equation using inverse operations
a = bx + cx + d
-d -d
a - d = bx + cx
factor
a - d = x ( b + c )
( a - d )/(b + c) = x
Use the pair of functions to find f(g(x)) and g(f(x)). Simplify your answers.
f(x)= 1= ² + 4
X-4
Answers
To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:
\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)
To simplify this expression, we can expand the square:
\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)
Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)
Next, let's find g(f(x)). We substitute f(x) into the function g(x):
\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)
Hence, g(f(x)) simplifies to 1/x^2.
In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.
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