The provided function, f(x)=(.8)^x, has a 20% rate of decay.
What is the Rate of decay or growth?
A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay.
given, a function f(x)=(.8)^x. To calculate the decay rate of this function.
The exponential decay formula aids in determining the exponential drop, which is a rapid reduction over time. To calculate population decay, half-life, radioactivity decay, and other phenomena, one uses the exponential decay formula. F(x) = a (1 - r)x is the general form.
Where
a = the initial amount
1-r is the decay factor
x = time span
from the given expression,
Decay factor = 0.8
That is also equal to 1 - r
1 - r = 0.8
r =0.2
Thus, rate of decay = r * 100%
rate of decay = 0.2 * 100 = 20%
therefore, The rate of the of the given function f(x)=(.8)^x is 20%.
Learn more about the rate of decay here:
https://brainly.com/question/30068164
#SPJ1
How many nine-digit numbers can be made using each of the digits 1 through 9 exactly once with the digits alternating between odd and even
Using combination, 5184 nine-digit numbers can be made using each of the digits 1 through 9 exactly once with the digits alternating between odd and even.
What exactly is a permutation?An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are arranged in a linear or sequential order. For instance, the set A=1,6 has a permutation of 2, which is 1,6,1. There is no other way to arrange the components of set A, as you can see.
If the first letter is even, there are 4 first digit possibilities (not 5 because it can't start with 0), 4 third digit possibilities, 3 fifth digit possibilities, etc., making the total 4!
If an odd number is the first letter, there will be 5!*4! different ones.
Add the two together now.
4*4!*4! + 5!*4!=5184
To know more about combination visit:-
brainly.com/question/13387529
#SPJ4
The teacher gave a true and false quiz where P(true) = 0.8 for each question. Interpret the likelihood that the first question will be true.
Likely
Unlikely
Equally likely and unlikely
Answer: 0.8 what?
Step-by-step explanation:
prolly likely
A graphical device used for enumerating sample points in a multiple-step experiment is a a. bar chart b. pie chart c. histogram d. None of the other answers is correct.
None of the listed methods are used for enumerating sample points in a multiple-step experiment. So, option D is the correct answer.
Graphical methods are important mathematical tools that are very helpful when it comes to managing a vast amount of data. These also help when we need to visually represent data. These methods help quite a lot since they make it easier to keep track of data and understand it as well.
A bar chart and a histogram are similar tools that are used to represent data by plotting them as rectangular bars. These can be either vertical or horizontal. A pie chart is also a tool that uses a shape for data visualization. In its case, it represents data in the shape of a circle and all categories/data sets have their slices. So, this means that these three are not methods that can be used for enumerating sample points in a multiple-step experiment. Hence, option D is the correct option.
Learn more about piecharts on
https://brainly.com/question/16819077?referrer=searchResults
#SPJ4
What are the real roots of the equation x2 3 x1 3 − 2?
The real roots of the equation x^(2/3) + x^(1/3) - 2 = 0 are 1 and -8.
The equation x^(2/3) + x^(1/3) - 2 = 0 does not have any real roots. Since the exponents are not integers, x^(2/3) and x^(1/3) are not defined for negative values of x, and so the equation has no solutions for real values of x.
But,
Let y = x^(1/3)
The equation x^(2/3) + x^(1/3) - 2 = 0 will become y² + y - 2 = 0.
Solving for the roots of this equation,
y² + y - 2 = 0
(y + 2)(y - 1) = 0
y = -2 ; y = 1
Substitute the value of y and solve for x.
y = x^(1/3)
-2 = x^(1/3) ; 1 = x^(1/3)
x = -8 ; x = 1
Therefore, the real roots of the equation is 1 and -8.
Learn more about roots of equation here: https://brainly.com/question/26454871
#SPJ4
Which question best describes the diagram above? Answer the question. 120 is 25% of what? 25% of 120 is what? 6 is what percent of 120? 120 is what percent of 25?
Answer:
1. 480
2. 30
3. 5
4. 480%
Step-by-step explanation:
1.
25% = 120
100% = 120 x 4 = 480
2.
100% = 120
25% = 120 : 4 = 25
3.
120 = 100%
6 = 6/120 x 100 = 5%
4.
25 = 100%
120 = 120/25 x 100 = 480%
b) Is Jerome’s brother correct? Explain why or why not, using examples from the ratio table to support your argument.
Answer:
i wish i could help im sorry
Step-by-step explanation:
im
not
ok
I need help with polynomials
Here is the equation
The solution to the polynomial is x = -1, x = 1/2 and x = -1
How to solve the polynomial expressionFrom the question, we have the following parameters that can be used in our computation:
2x³ - x² - 2x + 1
Expand
2x³ - x² - 2x + 1 = 2x³ - x² - 2x + 1
Factorize the expression
This gives
2x³ - x² - 2x + 1 = x²(2x - 1) - 1(2x - 1)
Factor out 2x - 1
2x³ - x² - 2x + 1 = (x² - 1)(2x - 1)
Express x² - 1 as difference of two squares
2x³ - x² - 2x + 1 = (x - 1)(x + 1)(2x - 1)
So, we have
(x - 1)(x + 1)(2x - 1) = 0
Solve for x
x = 1, x = -1 and x = 1/2
Reorder the solutions
x = -1, x = 1/2 and x = -1
Hence, the solution is x = -1, x = 1/2 and x = -1
Read more about polynomial at
https://brainly.com/question/7693326
#SPJ1
Is(1, 7)a solution to the inequality 3x + 11y ≤ 8? IXL
Answer: No, it is not a solution.
Step-by-step explanation:
We will substitute the point given, and if the inequality is true after simplifying then it is a solution.
Given:
3x + 11y ≤ 8
Substitue:
3(1) + 11(7) ≤ 8
Multiply:
3 + 77 ≤ 8
Add:
80 ≤ 8 ✗
How to determine the number of solutions in a linear system without solving?
To determine the number of solutions in a linear system without solving it, check their slopes. If the slopes are different, there is one solution; if the slopes are the same but the equations are different, there is no solution; if the equations are exactly the same, the solutions are infinite.
The 3 possible solutions of a system of equations are:
- Unique or one solution
- Infinite solutions
- No solution
In case of a system of linear equations, we can determine the type of its solution as follows:
- If the slopes are different, then their graphs will intercept in one point. Hence, the system of linear equations will have one solution.
Example:
y = -3x - 2
5x + 2y = 15
The slopes of the line equations are different, hence the solution is unique
- If the slopes are the same but the equation of the lines are different, the lines are parallel, hence they will not intercept. Therefore, there is no solution.
Example:
2x + 2y = 8
y = -x -5
These are parallel lines, hence, there is no solution
- If the linear equations are exactly (or can be transformed to exactly) the same equations, the solution is infinite.
Example:
2x + 2y = 8
4x = -4y + 16
Those two equations are exactly the same. Hence, the solutions are infinite.
Learn more about system of equation here:
https://brainly.com/question/28405823
#SPJ4
find the increase in length,area or volume with:o.5m, 10(linear expansion),15(rise in temp),
Answer:
Bonjour is the bonjour of qui
Step-by-step explanation:
Points points
What is the probability that this year's graduation will fall on the birthday of exactly one of the 68 Seniors? What is the probability that there is more than one such Senior?
The probabilities are given as follows:
Birthday of one student: 0.1550 = 15.50%.Birthday of more than one student: 0.0152 = 1.52%.What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The parameter values for this problem are given as follows:
n = 68, as the class is composed by 68 Seniors.p = 1/365, as the year has 365 days, hence the probability of a person having a given day as a birthday is of 1/365.Hence the probability of one senior having the birthday on the same day as the graduation is of:
P(X = 1) = 68 x 1/365 x (364/365)^67 = 0.1550.
The probability of more than one is given as follows:
P(X > 1) = 1 - P(X <= 1).
In which:
P(X <= 1) = P(X = 0) + P(X = 1)
Hence:
P(X = 0) = (364/365)^68 = 0.8298.P(X = 1) = 68 x 1/365 x (364/365)^67 = 0.1550.Finally:
P(X <= 1) = 0.8298 + 0.1550 = 0.9848.P(X > 1) = 1 - P(X <= 1) = 1 - 0.9848 = 0.0152.More can be learned about the binomial distribution at https://brainly.com/question/24756209
#SPJ1
Select the correct answer from each drop-down menu.
An axiom in Euclidean geometry states that in space, there are at least
~ points that do
The answer is that space contains at least four points that are not coplanar or not all coplanar.
What is Axioms?Axioms are statements or propositions taken to be established, accepted, or self-evident truths. In other words, a statement or mathematical statement that serves as a starting point from which other statements are logically derived. This is formulated in Hypothesis 1 as follows:
A plane contains at least three points that are not all on a straight line. Space contains at least four points that are not all in one plane. "
Simply put,
"There is at least one plane for every three points. There is exactly one plane for every three non-collinear points."
"There are at least 3 points in the plane that are not co-linear. There are at least 4 points in space that are not co-planar."
Not collinear:
Not all lined up.
Not coplanar:
do not occupy the same area or rectilinear plane
An axiom of Euclidean geometry states that there are at least four points in space that are not in the same plane.
Learn more about axiom at:
brainly.com/question/17402491
#SPJ1
What is an inverse proportional graph?
Inversely proportional graphs are reciprocal graphs consisting of one smooth curve in the first quadrant only.
When one quantity grows, the other quantity decreases, and vice versa, this is known as an inverse proportion. Indirect proportion is another name for inverse proportion.
Consider a task like painting a fence as an illustration. The amount of time it takes to complete the task lowers as the number of employees rises. The amount of time it takes to complete the task grows as the number of workers reduces.
If y is inversely proportional to x then we write y = 1/x
To know more about inverse proportional graph visit: brainly.com/question/28693839
#SPJ4
How could this be solved
On solving the provided question, we can say that - area of the following cylinder is [tex]2\pi rh + 2\pi r^2 = > 2 * 3.14 *3*2 + 2 *3.14*2*2 = > 62.8[/tex]
what is cylinder?One of the most fundamental curved geometric forms is the cylinder, which is often a three-dimensional solid. It is referred to as a prism with a circle as its base in elementary geometry. Several contemporary fields of geometry and topology also define a cylinder as an indefinitely curved surface. A three-dimensional object known as a "cylinder" consists of curving surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure that has two bases that are both identical circles joined by a curving surface at the height of the cylinder, which is determined by the distance between the bases from the center. Examples of cylinders are cold beverage cans and toilet paper wicks.
r=3
and h= 2
area =
[tex]2\pi rh + 2\pi r^2\\\\2 * 3.14 *3*2 + 2 *3.14*2*2\\62.8[/tex]
To know more about cylinder visit:
https://brainly.com/question/16134180
#SPJ1
(ANYONE? PLS, HELP I NEED THE ANSWER RIGHT NOW!)
A rental store at the beach has 56 umbrellas and 24 surfboards. Which ratio describes the relationship of surfboards to umbrellas?
A: 56:24
B: 7:3
C: 3:8
D: 3:7
b because you are dividing
Answer: D (3:7)
Step-by-step explanation:
You need to simplify the 56:24 until fully simplified (using the highest common factor). Flip this so it is instead surfboards to umbrellas rather than umbrellas to surfboards.
56/8 = 7
24/8 = 3
A class of 20 students is visiting the fair today. Each student is 16 years old or younger and will participate in either the Hay Bale Toss or the Pie Eating Contest. If all 20 students joined the same event, how would the shape of the histogram change compared to the original
In either the Hay Bale Toss or Pie Eating Contest, the graph's range of 0-19 will be extended by 20.
What is graphs?Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices.
In either the Hay Bale Toss or Pie Eating Contest, the graph's range of 0-19 will be extended by 20. 20 students attended the fair, total. Group age = 0 to 16
This age range is located in the histogram's first interval, which is 0–19. The graph for the pie eating competition would remain the same if all 20 pupils had participated in the hay bale toss, with the bar representing 0–19 rising from 40 to 60.
The graph of the Hay Bale Toss would remain same if all 20 pupils had participated in the Pie Eating Contest, increasing the bar of 0-19 from 20 to 40.
To know more about graphs visit:
https://brainly.com/question/11950136
#SPJ4
A company creates containers of mixed nuts using the same ratios of different types of nuts in each container. In a 20 ounce container of the company's mixed nuts, there are 11 ounces of peanuts.
There are 37.8 ounces of almonds in a 42-ounce container of the company's mixed nuts.
We know that the company uses the same ratio of different types of nuts in each container. Therefore, we can use the ratio of peanuts to the total weight in the 20-ounce container to find the weight of almonds in the 42-ounce container.
In the 20-ounce container, 11 ounces of the nuts are peanuts. Therefore, 20-11 = 9 ounces of the nuts are not peanuts.
To find the weight of almonds in the 42-ounce container, we can use the same proportion of non-peanut nuts to the total weight. So,
9 ounces / 20 ounces = x / 42 ounces
Cross-multiplying we get:
9 × 42 ounces = 20 × x
x = 37.8 ounces
So, there are 37.8 ounces of almonds in a 42-ounce container of the company's mixed nuts.
To learn more about percentages at
https://brainly.com/question/28748728?referrer=searchResults
#SPJ4
A salesperson at a jewelry store earns 9% commission each week. Last week, sold $750
worth of jewelry. How much did make in commission? How much did the jewelry store make from sales?
The amount made in commission is $67.5.
The amount made in sales by the store is $682.5.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Amount sold last week = $750.
Commission = 9%
The amount of commission.
= 9/100 x 750
= $67.5
The sales made last week by the store.
= 750 - 67.5
= $682.5
Thus,
$67.5 was made in commission.
$682.5 was made from sales.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ1
What is the reflection of point 2/3 about y-axis?
When reflected in the y-axis, the image of the point (2/3) is (-2/3).
The sign of the x coordinate changes when a point is mirrored on the y-axis.
When a figure is built around a single point known as the point of reflection or the figure's centre, a reflection point results. There is an exact opposite point on the other side of each point in the figure. The shape and dimensions of the figure remain unchanged underneath the point of reflection.
The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse. Point (x, y) is reflected across the y-axis as (-x, y).
For more questions on reflection of point
https://brainly.com/question/26642069
#SPJ4
Of the teacups in Isabella's Tea Shop, 1/3 are indigo and another 1/4 are orange. What fraction of the teacups are either indigo or orange?
The fraction of the teacups that are either indigo or orange is 7/12.
What is a fraction?A fraction refers to a part of a whole number. It is a proportional value.
A fraction is a quotient that results from a division operation when the numerator is divided by the denominator.
In a proper fraction, the numerator is smaller than the denominator. This is not the case with improper fractions where the numerator is larger than the denominator.
There are complex, proper, and improper fractions.
The fraction of teacups that are indigo = 1/3
The fraction of teacups that are orange = 1/4
The fraction that are either indigo or orange = 7/12 (1/3 + 1/4)
Thus, the fraction or proportion of the Tea Shop's teacups that are either indigo or orange is 7/12.
Learn more about fractions at https://brainly.com/question/11562149
#SPJ1
The perimeter of a square is given as 24x + 20. Write two diffrerent expressions to represent the perimeter. Use factoring to write one of the expressions
The perimeter of a square is given as 24x + 20 and can be written as 4 ×(5x+6) and 2 × (10x+12).
The perimeter of a square is the sum of all of the 4 sides of the square. Here, the perimeter of the square is given as the function of x, for finding the length of each side of the square.
Here, in the given problem, we can factorize the expression 20x+24 as, 4 ×(5x+6) so this is the 1st different way of writing the given expression. For another expression, we can take 2 commons from 20 x+24 that will be 2 × (10x+12).
Learn more about Perimeter on
https://brainly.com/question/9369181?referrer=searchResults
#SPJ4
x= x 1/3 * x3 is it always sometimes or true
Answer:
Only sometimes true
Step-by-step explanation:
Now, I'm going to go out on a whim here, since your equation writing isn't the best, but I will assume that the equation is:
x = x/3 * 3x
Now, to simplify this equation, we will multiply both sides by 3, giving us:
3x = x * 3x
Then, simplify the left side:
3x = [tex]3x^{2}[/tex]
Divide by 3 gives us:
[tex]x = x^{2}[/tex]
Now, this is only true in two cases. When x is 1, and when x is 0. So, that equation is only sometimes true.
Hope this helped!
Please help I have a learning disablity and need help with this.
Please answer both parts
Find the product mentally. Show the steps you used.
4 x 5 1/8
Which one is correct
4(5) + 4 (1/8)
20 + 1/8
4 + 5 (1/8)
4 + 41/8
Answer here _______________
Find the product in the simplest form. Use your answer from question 1 when we rewrote it using the Distributive Property.
4 x 5 1/8
20 1/8
20 1/2
20/8
2 1/4
Answer here ______________
The product value of 4 x 5(1/8) is 4(5) + 4(1/8).
Option A is the correct answer.
The product value of 4 x 5(1/8) is 20(1/2).
Option B is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
4 x 5(1/8)
= 4 x (5 + 1/8)
= 4 x 5 + 4 x 1/8
4 x 5(1/8)
= 4 x (5 + 1/8)
= 4 x 5 + 4 x 1/8
= 20 + 1/2
= 20(1/2)
Thus,
4(5) + 4 (1/8) is the value.
20(1/8) is the value.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
What type of triangle is a 50/50 80?
50-50-80 is a Isosceles acute triangle.
An isosceles acute triangle is a triangle in which all three angles are less than 90°, and at least two of its angles are equal in measurement. One example of the angles of an isosceles acute triangle is 50°, 50°, and 80°.
Properties of Isosceles Acute Triangle
It is easy to point to an isosceles acute triangle if we know its properties. The properties of the isosceles acute triangle are noted below:
Two angles and two sides opposite those angles are equal.All three angles are less than 90° (acute angles).The summation of all the interior angles is 180°.Read more about the Isosceles acute triangle.:
https://brainly.com/question/8155990
#SPJ4
A track team has 7 people eligible to run the
800-meter run. A team member can only run
the race once, and 4 people are needed to run
the race. How many different ways can the 4
people be selected, if order doesn't matter?
In 35 differnt ways (Combination) the 4 players can be selected from a team of 7.
What is permutation and Combination ?Combinations are decisions that are made by choosing some or all of a group of things, regardless of how they are arranged.
Utilizing the combinations formula, it is simple to determine how many distinct groups of r items each may be created from the provided n unique objects. The factorial of n divided by the product of the factorial of r and the factorial of the difference between n and r, respectively, is the formula for combinations.
A permutation is a combination and an ordered arrangement of possible outcomes. For instance, there are 5 chairs, and 3 people should occupy them. There are five different methods to seat the first person, four ways to sit the person after them, and three ways to seat the third. In order to determine the number of configurations for seating 3 people in 5 seats, we thus multiply the alternatives at our disposal.
Permutations are several ways to arrange things in a certain sequence. It may alternatively be stated as the linear reordering of elements in an already ordered collection.
Here we have to select 4 people from a team of 7, so its a combination
So the number of ways are = [tex]\x^{7}C\x_{4} = \frac{7!}{4!\ 3!} = 35[/tex].
To learn more about Combination and Permutation refer to :
https://brainly.com/question/13827258
#SPJ4
in a right triangle with sides a and b and c where c is the hypotneuse, what is the cosine of angle A?
In a right triangle with sides a and b and c where c is the hypotenuse, then the cosine of angle A is the ratio of Adjacent side to the angle A and Hypotenuse of triangle.
In the given question, in a right triangle with sides a and b and c where c is the hypotenuse, then we have to find the cosine of angle A.
A right triangle is a triangle with one of the internal angles at 90 degrees. The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.
The cosine of angle A is the ratio of Adjacent side to the angle A and Hypotenuse of triangle.
Cosine of angle A = Adjacent side to the angle A/Side adjacent to the angle A
Cosine of angle A = b/c
To learn more about right triangle link is here
brainly.com/question/29285631
#SPJ4
Out of 32 student, 18 voted for Christian as president of the students council. If there are 224 students how many students voted for Christian
Answer:
126
Step-by-step explanation
-2(-6+-y) in expanded form help
Answer:12+2y
Step-by-step explanation:Multiple the -2 by each value inside of the parenthesis, -2 * -6 = 12, -2 * -y = 2y, then add these together to get 12+2y.
Nolan is a waiter at a restaurant. Each day he works, Nolan will make a guaranteed wage of $25, however, the additional amount that Nolan earns from tips depends on the number of tables he waits on that day. From past experience, Nolan noticed that he will get about $11 in tips for each table he waits on. How much would Nolan expect to earn in a day on which he waits on 12 tables? How much would Nolan expect to make in a day when waiting on tt tables?
Nolan would expect to earn $157 in a day when he waits in 12 tables.
Now, According to the question:
We have the following information:
Each day Nolan works, Nolan will make a guaranteed wage of $25, however the additional amount that Nolan earns from tips depends on the number of tables he waits on that day. From past experience, Nolan noticed that he will get about $11 in tips for each table he waits on.
Now, for waiting on 12 tables, he will get the fixed amount of 25 dollars and the amount for 12 tables.
So, the total amount will be:
25+11 × 12
$157
Hence, Nolan would expect to earn $157 in a day when he waits in 12 tables.
Learn more about expected earning at:
https://brainly.com/question/29252733
#SPJ4
You use a technical support company for your computer. The company bills you at a rate of $10 per month and $35 per hour for phone support.
a. Identify the fixed cost (the constant).
b. Identify the independent variable (x).
c. Identify the dependent variable (y).
d. Write an equation that describes the situation above.
e. If you were billed $97.50 for last month, how many hours of phone support did you need? Show all work.
Answer:fixed cost=10
Independent variable=months paid
Dependent=hours on support
month=x,h=hour,10x+35h=total cost
97.50=10+35h
87.50=35h
h=2.5 hours
Step-by-step explanation:
showed work