A statement that two numbers or expressions are equal is an equation.
What is an equation?An equation is a mathematical expression that states that two expressions are equal. An equation's solution is the value that, when substituted for the variable, makes the equation true. To accomplish our goal, we employ two equality principles: the addition principle and the multiplication principle.
An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
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The sequence below shows a certain company's expected net worth in millions of dollars after 1, 2, 3, 4 years, etc....
8.3, 10.4, 12.5, 14.6,...
Which function models the nth term of this sequence?
Responses
f(n) = 8.3 + 2.1nf(n) = 8.3 + 2.1n
f(n) = 8.3 − 2.1nf(n) = 8.3 − 2.1n
f(n) = 8.3 + 2.1(n+1)f(n) = 8.3 + 2.1(n+1)
f(n) = 8.3 + 2.1(n−1)
f(n) = 8.3 + 2.1(n−1) function models the nth term of the sequence 8.3, 10.4, 12.5, 14.6.
What is Sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Given,
The sequence below shows a certain company's expected net worth in millions of dollars after 1, 2, 3, 4 years, etc....
8.3, 10.4, 12.5, 14.6,...
The given sequence is a arithmetic sequence.
The first term is 8.3
The common difference is 2.1
The nth term of arithmetic sequence aₙ=a+(n-1)d
the nth term of this sequence=8.3+(n-1)2.1
f(n)=8.3+(n-1)2.1
Hence, f(n) = 8.3 + 2.1(n−1) function models the nth term of the sequence 8.3, 10.4, 12.5, 14.6.
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Which expression is equal to 6(r2 – 3) + 2(r2 + 1)?
8r squared - 20
6r squared -2
8r squared -16
6r squared +2r-16
pls, help 20 points!
Answer:8r squared -16
Step-by-step explanation:
Solve the inequality 4x-7<5
Answer:
x<3
Step-by-step explanation:
4x<5+7
4x < 12
4/4 x < 12/4
x < 3
which of the following is a reason why a researcher might choose to conduct a double-blind placebo control group study? a. to control for regression to the mean b. to control for observer bias c. to eliminate testing effects d. to prevent attrition
A double-blind placebo control group study is used to control for observer bias and eliminate testing effects. So option c is correct.
A double-blind placebo control group study is one in which subjects are randomly assigned to either a control group, who receive a placebo, or an experimental group, who receive the treatment being studied. The researcher is not aware of which subjects are in which group, and neither are the subjects. This design is used to control for observer bias and eliminate testing effects.
This type of study is important because it allows researchers to test the efficacy of a new treatment without the risk of bias. By eliminating the possibility that the researcher or the subjects will know who is receiving the treatment and who is receiving the placebo, any expectations or preconceptions about the treatment can be avoided. This type of study is also important because it helps to control for the placebo effect, which is the phenomenon whereby subjects in the control group may experience some benefits from the placebo itself.
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This shows a triangle.
What is the value of x?
43
62
105
115
Answer:
105 degrees
Step-by-step explanation:
Find angle F:
the sum of angles of triangle =180
62+43+y=180
105+y=180
y=75
straight line = 180 degrees
75+x=180
x=105 degrees
Please help!! Im so confused on this and need help badly
Answer: 11 months
Step-by-step explanation:
You do this by 73 times 11 equals 803
Then 49 times 11 equals 539 then add on the registration fee and it equals to 779 which is less than 803
Lauren's car used 11 gallons to travel 352 miles. How far can she travel on 3 gallons?
The distance traveled with 3 gallons is 96 miles.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
The distance traveled with 11 gallons = 352 miles
This means,
1 gallon = 352/11 miles
1 gallon = 32 miles
Now,
1 gallon = 32 miles
Multiply 3 on both sides.
3 gallons = 3 x 32 miles
3 gallons = 96 miles
Thus,
The distance traveled with 3 gallons is 96 miles.
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9. There is so much water in the world, that we normally measure large bodies of water in cubic
miles or cubic kilometers instead of gallons. Cayuga Lake in upstate New York contains an
estimated 9.4 km³. How many cubic miles of water does Cayuga Lake contain?
Answer:
Step-by-step explanation:
12.5km
i made that up sorry
create a table and graph using -2x + 1/2
Answer:
Open Canva — Launch the table and chart maker tool by going to Canva and searching for “table” or “table chart.” Choose a template — Explore our collection of pre-built, fully customizable templates. Narrow your search by style, theme, and color to find a layout that best fits your needs. Click your chosen template to start designing.
Write the set A = {1, 2, 3, 4, 5, …} in set-builder form and descriptive form.
(please notice that it is an infinite set)
a. The set in set builder form A = {x : x ∈ N}
b. the set in descriptive form, A = {set of natural numbers}
What is a set?A set is a collection of well defined items.
What is set builder form?Set builder form is a way of enumerating a set by using a set of rules which define its elements.
What is descriptive form?Descriptive form is a way of enumerating the elements of a set in words.
a. How to write the elements of the set in set builder form?Since we have the set A = {1, 2, 3, 4, 5, …}, which is the set of natural numbers ,N, we identify each element of the set as x and give it a rule that x is an element of N. That is x ∈ N.
So, in set builder form A = {x : x ∈ N}
b. How to write the elements of the set in descriptive form?Since we have the set A = {1, 2, 3, 4, 5, …}, which is the set of natural numbers ,N.
In descriptive form, we write that A = {set of natural numbers}
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a 3x3x3 cube is made of 27 small cubes of which one is blue and 26 are white. the surface of the cube is formed by 3x3 squares. the small cubes are arranged in such a way that the surface is as much white as possible. what fraction of the surface of the cube is white
The fraction of the surface of the cube which is white is 14/27
Given 27 cubes of 1 centimetre are conjoined to form a large cube of 3x3x3
To maximise the value of the surface area, in this case, taken as white, other than the cube in the centre, the rest of the cubes must have their white surface area exposed.
• Total Number of cubes where white surface area is exposed is = 27 – 1 = 26
Although, on each surface of the 3x3x3 cube, there are 9 smaller cube surfaces, and there will be a total of 6 surfaces for the bigger cube.
• Total number of cube surfaces exposed in blue = 9 * 6 = 54
• Therefore, the greatest fraction in blue= 26/54 = 13/27
Therefore the fraction of the surface of the cube is white is = 1-[tex]\frac{13}{27}[/tex]= 14/27
The fraction of the surface of the cube which is white is 14/27 is the answer
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The fraction of the surface area of the cube which is white is 14/27
Given 27 cubes of 1 centimetre are conjoined to form a large cube of 3x3x3
To maximise the value of the surface area, in this case, taken as white, other than the cube in the centre, the rest of the cubes must have their white surface area exposed.
• Total Number of cubes where white surface area is exposed is = 27 – 1 = 26
Although, on each surface of the 3x3x3 cube, there are 9 smaller cube surfaces, and there will be a total of 6 surfaces for the bigger cube.
• Total number of cube surfaces exposed in blue = 9 * 6 = 54
• Therefore, the greatest fraction in blue= 26/54 = 13/27
Therefore the fraction of the surface of the cube is white is = 1-(13/27)
= 14/27
The fraction of the surface of the cube which is white is 14/27 is the answer.
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Monica is 33 years old. Amanda is 18 years older than Brittany and 16 years older than Rita. Brittany is 23 years younger than Monica. How old is Rita?
please help
what is the probability that you will receive at most 30 winning tickets? (round to four decimal places.) 0.5484 what is the probability that you will receive more than 30 winning tickets? (round to four decimal places.) 1 what is the probability that you will receive fewer than 10 winning tickets? (round to four decimal places.) 0.2206 what is the probability that you will receive at least 10 winning tickets? (round to four decimal places.
Normal distributions are frequently employed in the natural and social sciences to describe real-valued regressors with uncertain distributions, normal distributions are essential to statistics.
The central limit theorem is one reason they are significant.
This claim argues that, in some circumstances, the average of many samples (observations) of a random variable with finite variance and mean is itself a random variable, whose distribution tends to become normal with an increase in sample size.
Because of this, distributions of physical quantities that are meant to be the culmination of multiple separate processes, such as error margins, frequently resemble normal distributions.
Only the normal distribution has additional cumulants after the first two that are zero. It is also the continuous distribution with the highest level of entropy for a given mean and variance.
Assuming that the mean and variance are finite, Geary has shown that the normal distribution is the only distribution in which the mean and variance calculated from a collection of independent drawings are independent of one another.
The normal distribution is a form of elliptical distribution. The normal distribution is symmetric about its mean and non-zero over the whole real line.
Consequently, it could not be an appropriate model for variables that are inherently positive or highly skewed, such as a person's weight or the value of a share.
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you want to know the opinions of american school teachers about establishing a national test for high school graduation. you obtain a list of the members of the national education association (the largest teachers' union) and mail a questionnaire to 2500 teachers chosen at random from this list. by the deadline, 1347 teachers return the questionnaire. the population is
The list of the members of the national education association is the Population.
Given, that a list of the members of the national education association is obtained and the questionnaire is mailed to 2500 teachers chosen at random from the list.
1347 teachers from those 2500 teachers return the questionnaire.
So, as we know that
A population is the group that you want to draw conclusions about.
Here, we want to know the opinions of American school teachers about establishing a national test.
So, The list of the members of the national education association is the Population.
Also, 1347 responses which we got is the sample.
Hence, The list of the members of the national education association is the Population.
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Given g(x)=-3x-3 solve for x when g(x)=0
Sohan rolled a number cube 90 times. The outcome of ""6"" occurred 18 times. What is the experimental probability of rolling a 6?
The value of the experimental probability of rolling a 6 is found as 1/5.
Define the term experimental probability?A probability that has been established by a series of tests is called an experimental probability. To ascertain their possibility, a random experiment is conducted and iterated over a number of times; each iteration is referred to as a trial. The purpose of the experiment is to determine the likelihood that a particular occurrence will occur or not.For the given question-
Sohan made 90 turns of the number cube. There were 18 occurrences of the result of "6."Thus, by the definition of the probability-
Probability (getting 6) = number of occurred outcomes/ Total outcomes
Probability (getting 6) = 18/90
Probability (getting 6) = 1/5
Thus, the value of the experimental probability of rolling a 6 is found as 1/5.
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task 13: are the expressions equivalent? Simplify to prove, if the two expressions are not equal write the correct equivalence. #5: x(x+y+2) and x²+xy+2x #6: 2x(x+3) and 2x+6 distribute the following. 1. 3(x+2) 2. 4(y-1) 3. x(x+6) 4. x(y+4) 5. 3x(x+y-1)
Answer:
Step-by-step explanation: watch the video
pls help ASAP
just fill the blank
Answer:
Use the formula to find distance
Does the relation shown in the diagram below represent a function? Explain why or why not
The relation is function because each value in the domain matches only one value in the range, the relationship described above can be thought of as a function.
Given that,
In the picture we can see the domain and range.
We have to find if the domain and range is function or not.
Each of the sets of domain values has precisely one range value, according to the mapping.
Every domain value in a relation must have precisely one range value in order for it to be referred to as a function. It is not recommended to assign or map a domain value to more than one range value.
Therefore, The relation is function because each value in the domain matches only one value in the range, the relationship described above can be thought of as a function.
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the difference between two numbers is 8. The lesser number is a. Write an expression for the greater number.
The expression is x - a = 8.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Difference between two numbers is 8.
The lesser number is a.
let the another number be 'x'.
So, Difference between two numbers
x - a = 8
Hence, the expression is x - a = 8.
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A salesman earns 9% commissions on all the merchandise that he sells.last month he sold $3000 worth of merchandise.how much commissions in dollars did he earn last month
The commission earned by selling the merchandise worth $3000 is $270
The percentage of the commission earned by the salesman is 9%
The worth of the merchandise is $3000
A sales commission is typically an amount paid to an employee upon completion of a task for the sale of a specified quantity of goods or services.
Therefore, the commission earned can be found using the formula,
Commission = SP x CP
where SP is the selling price and
CP is the commission percentage.
Let us substitute the known values in the above equation, we get
Commission = 3000 x 9%
= 3000 x 9/100
= 30 x 9
= $270
Therefore, the commission earned is $270
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Is this relation a function ?
In a circle, the length of an arc intercepted by a central angle is 12 mm, and the radius of the circle
8 is 8 mm. What is the measure, in radians, of the angle?
Answer:
1.5
Step-by-step explanation:
we calculate the circumference of this circle.
circumference of a circle=2πr
data:
r=8 mm
circumference=2(8 mm)π=16π mm
2)we calculate the measure, in radians of the angle.
We know that:
circumference of a circle=2π radians
therefore:
16π mm=2π radians.
16 π mm--------------------------2π radians
12 mm----------------------------- x
x=(12 mm * 2π radians) / 16π mm=1.5 radians.
(x+2)(x+3)(x+4) can be written in the form [tex]x^{3}[/tex] + a[tex]x^{2}[/tex] + bx c where a, b and c are positive integers.
Work out the values of a, b and c.
a = (Answer here) (1)
b = (Answer here) (1)
c = (Answer here) (1)
Answer:
a = 9 ; b = 26 ; c = 24
Step-by-step explanation:
(x^2+3x+2x+6)(x+4)
(x^2+5x+6)(x+4)
x^3+5x^2+6x+4x^2+20x+24
x^3+9x^2+26x+24
how do i solve 8x-8=4x
The solution to the algebraic equation 8x - 8 = 4x is x = 2
How to solve algebraic equation?Algebra: This is the system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.
8x - 8 = 4x
Collect like terms8x - 4x = 8
4x = 8
divide both sides by 4x = 8/4
x = 2
Check:
8x - 8 = 4x
substitute x = 2 into the equation
8(2) - 8 = 4(2)
16 - 8 = 8
8 = 8
Other examples of algebraic equation
3x + 5 = 11
substract 5 from both sides
3x = 11 - 5
3x = 6
divide both sides by 3
x = 6/3
x = 2
Therefore, the value of x from the equation is given by 2
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what is 5/2x + 1/2x = 9 + 7/2
Answer: x = 25/6
Step-by-step explanation: yes
Answer: x=25/6
Step-by-step explanation:
combine multiplied terms into 1 fraction
5/2*+1/2x=9+7/2
5x/2+1/2x=9+7/2
combine
5x/2+1/2x=9+7/2
5x/2+1x/2=9+7/2
multiply by 1
5x/2+1x/2=9+7/2
5x/2+x/2=9+7/2
Hannah swims in a swimming pool of 25 metres long.
How many laps does she need to complete for a total distance of 0.5 kilometre?
She needs to complete 20 laps for a total distance of 0.5 kilometer.
1 kilometers = 1000 meters
0.5 kilometers = 500 meters
Length of swimming pool = 25 meters
That means, she covers 25 meters in 1 lap.
Laps to cover 500 meters = 500/25
= 20
Hence, she needs to do 20 laps.
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whats the answer to "The x -intercept is" and how do i find it
The x-intercept of the function represented on the graph is 3
How to complete the blank of the x-intercept?The graph represents the given parameters
To determine the x-intercept of the graph, we set y = 0
This means that the x-intercept of the graph is the point, where the line of the graph crosses the x-axis
For the graph, we have
When y = 0, the function has a value of 3
This means that
x-intercept is 3
Hence, the x-intercept of the graph is 7
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Which angles are congruent to <5
Answer:
1, 3, 7 (<5 is also congruent to <5, but this is not a choice.)
Step-by-step explanation:
The angles congruent to <5 are:
<1 by corresponding angles.
<3 by alternate interior angles.
<7 by vertical angles.
<5 by the theorem: congruence of angles is reflexive.
[tex]x-4/5-x+1/6=1/3[/tex]
The equation → x - 4/5 - x + 1/6 = 1/3 will have infinitely many solutions.
What is an equation?
A equation in mathematics is a mathematical statement depicting that the values of two mathematical expressions are equal. Some examples representing equations are -
y = 5x + 4
2x + 3y = 5x + 8π
cos(ny) = sin(πx)
Given is the following equation -
x - 4/5 - x + 1/6 = 1/3
We have -
x - 4/5 - x + 1/6 = 1/3
x - x - 4/5 + 1/6 = 1/3
- 4/5 + 1/6 = 1/3
Now, [x] will cancel out for ever possible value of [x], therefore, it will have infinitely many solutions
Therefore, the equation → x - 4/5 - x + 1/6 = 1/3 will have infinitely many solutions
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