For each variable, the possible values are:
a) T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
b) X = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}
c) U = {0, 1, 2, 3, 4, 5, 6}
d) Z = {0, 1, 2}
Item a:
In total, there are 10 pumps, hence the possible values are all integers from 0 to 10, that is:
T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Item b:
In the first, there are 6 pumps, and in the second 4, hence, the difference ranges from -4 to 6, that is:
X = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}
Item c:
The maximum number in a station is 6 pumps, hence this variable ranges from 0 to 6.
U = {0, 1, 2, 3, 4, 5, 6}
Item d:
Either none of the stations has exactly two pumps in use, or one has or both, hence the variable ranges from 0 to 2.
Z = {0, 1, 2}
The question is incomplete. The complete question is:
"The number of pumps in use at both a six-pump station and a four-pump station will be determined. Give the possible values for each of the following random variables. (Enter your answers in set notation.)
a. T = the total number of pumps in use
b. X = the difference between the numbers in use at stations 1 and 2.
c. U = the maximum number of pumps in use at either station
d. Z = the number of stations having exactly two pumps in use"
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The conservation club coordinator is recruiting volunteers to help build a shed for recycling. She knows that finishing the shed will take 120 work hours. She figures out that if she can find one more person to help, the project will take a half hour less per volunteer. How many volunteers have already signed up?
A retail associate at a department
store earns $950 an hour and 3%
commission on all sales. If he
worked 30 hours for the week and
sold $2.500 worth of merchandise.
what was the total amount he
earned?
Answer:
Step-by-step explanation:
950 times 30 hours = 28,500
28500 + 75= 28,575
75 is 3% of 2500 the total amount of sales he made
He earned 28,500 in his 30 hour week.
Help me simplify it pls
The simplest term is [tex]\frac{(2x-5)}{(x-3)(x-2)}[/tex].
what is factorization?Factorization of a number or an algebraic expression means writing the given number or given expression as a product of its factors. For algebraic expressions these factors can be numbers, variables, or an algebraic expression
Given,[tex]\frac{x-1}{x^{2} -3x+2} +\frac{x-2}{x^{2} -5x+6}[/tex]
By factorizing the denominator we get,
[tex]\frac{x-1}{(x-2)(x-1)} +\frac{x-2}{(x-2)(x-3)}[/tex]
By cancelling the common terms we get,
[tex]\frac{1}{(x-2)} +\frac{1}{(x-3)}[/tex]
Taking LCM we get,
[tex]\frac{(x-2)+(x-3)}{(x-3)(x-2)}[/tex]
By simplifying, we get,
[tex]\frac{(2x-5)}{(x-3)(x-2)}[/tex]
Hence, the simplest term is [tex]\frac{(2x-5)}{(x-3)(x-2)}[/tex]
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Data indicate that the number of traffic accidents in Berkeley on a rainy day is a Poisson random variable with mean 9, whereas on a dry day it is a Poisson random variable with mean 3. Let X denote the number of traffic accidents tomorrow. If it will rain tomorrow with probability 0.6, find
a)E[X]
b) P(X=0)
c) Var (X)
E(x) for the given data is 6.6 and p(x=0) =0.22 and variance is = 15.26
The Poisson distribution is a discrete probability function that means the variable can only take specific values in a given list of numbers, probably infinite. A Poisson distribution measures how many times an event is likely to occur within an “x” period of time. In other words, we can define it as the probability distribution that results from the Poisson experiment. A Poisson experiment is a statistical experiment that classifies the experiment into two categories, such as success or failure. Poisson distribution is a limiting process of the binomial distribution.
mean = 9 on a rainy day
mean=3 on a dry day.
Let X denote the number of traffic accidents tomorrow. If it will rain tomorrow with a probability of 0.6,
a)
E[x]= E[X|R]+E[X|D}
E[X]=0.6*9-0.4*3
=5.4-12=6.6
B)
X is equal to zero. Why is it called a small way?
P(Y)=e^(-9*0.6+3*0.4).
P(X=0)=0.22
part C.
He had variance affected also missing. So I will calculate that,
V(x)=x2-E(x) =15.26.
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12.
to maitsig
Which of the following pairings is INCORRECT?
(ة)
فه
First Amendment-freedom of speech
Second Amendment-right to bear arms
First Amendment-freedom of the press
Fourth Amendment-freedom
of religion
con
noaliW w
The pairing that is incorrect is D. Fourth Amendment-freedom of religion.
What does the Fourth Amendment do ?The Fourth Amendment to the United States Constitution protects citizens from unreasonable searches and seizures and requires that search warrants be issued only with probable cause and based on specific information. It does not address freedom of religion.
The First Amendment protects a number of individual rights, including freedom of speech, freedom of the press, freedom of religion, and the right to assemble and petition the government.
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prime factorization of 107
T/F. Finding a parametric description of the solution set of a linear system is the same as solving the system.
The statement is true. Solving a linear system is the same as finding the solution set of the system. The solution set of a linear system can also expressed using a parametric description.
A linear system can be solved by locating a parametric description of the solution set. The set of all vectors that fulfil a linear system is known as the solution set, and we can parametrically define this set by expressing the solutions in terms of one or more parameters.
In order to get the values of the variables that make a linear system true, we can solve the system in a number of different ways. These techniques require changing the equations in the system, usually by multiplying an equation by a scalar or by adding or removing multiples of one equation from another.We can determine the pivot variables and the free variables once the system is in row-echelon form. The remaining equations determine the values of the pivot variables, which are the leading coefficients in the equations.
In conclusion, since both entail discovering the values of the variables that satisfy the system, finding a parametric description of the solution set of a linear system is comparable to solving the system.
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(b) The area of a rectangular pool is 6532 m²
If the length of the pool is 92 m, what is its width?
Width of the pool:
The width of this rectangular pool is equal to 71 meters.
How to calculate the area of a rectangle?Mathematically, the area of a rectangle can be calculated by using this formula:
A = LW
Where:
A represents the area of a rectangle.W represents the width or base of a rectangle.L represents the length or height of a rectangle.Substituting the given points into the area of rectangle formula, we have the following;
6532 = 92W
Width, W = 6532/92
Width, W = 71 meters.
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select all that apply standard deviations can be compared multiple select question. for data sets with different measurement units. for data sets with the same measurement units but greatly different magnitudes. only for data sets with the same measurement units and similar magnitude. only for data sets with the same measurement units.
The statement of option a "for data sets with different measurement units" and the statement of option b "for data sets with the same measurement units but greatly different magnitudes." is true about comparing standard deviations. So the option a and b is correct.
When comparing standard deviations, it is important to consider the context in which the data was collected. For example, if two datasets have similar means but different standard deviations, the one with the larger standard deviation may indicate more variability or a wider range of values.
On the other hand, if two datasets have different means but similar standard deviations, the one with the larger mean may be more representative of the population as a whole. In either case, it is important to look at the context of the data to make a more informed comparison.
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The complete question is:
Which of the following is true about comparing standard deviations? (Select all that apply)
a. For data sets with different measurement units
b. For data sets with the same measurement units but greatly different magnitudes
c. For data sets with the same measurement units and similar magnitude
d. For data sets with the same measurement units
anew home is being furnished with a
couch that costs $687.50. How much will
the couch cost after a 6% sales tax is
applied?
8
$76
The cost of the couch when tax has been deducted would be = $646.25
How to calculate to the cost of couch?The total cost of the couch used to furnish a new home before tax deduction= $687.50
The percentage of tax deduction = 6% of $687.50
That is,
= 6/100 × 687.50
= 4125/100
= $41.25
Therefore, the cost of the couch after tax deductions would be = 687.50- 41.25
=$646.25
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An airplane descends 2.5 miles to an
elevation of 5.25 miles. Write the
equation to find the elevation of the
plane before its descent. Use x for your
variable, label your variable.
Your answer
The equation is x - 2.5 = 5.25.
The elevation of the plane before its descent is 7.75 miles.
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,
An airplane descends 2.5 miles to an elevation of 5.25 miles.
This means,
The plane was at x miles before it descents.
x - 2.5 = 5.25
Solve for x.
x = 5.25 + 2.5
x = 7.75
Thus,
The elevation of the plane before its descent is 7.75 miles.
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Find two different linear mappings that map the square with vertices 0, 1, 1 + i, and i, onto the square with vertices −1, 0, i, −1 + i.
The linear Mapping of the square with vertices
1: x = -1 + (2/2)(x + iy), y = -1 + (2/2)(x - iy)
2: x = -1 + (2/2)(x + y), y = -1 + (2/2)(-x + y)
The first linear mapping can be found by using the following matrix:
M = [a b]
[c d]
where, a = 2/2, b = -1, c = -2/2, d = 1.
By multiplying the matrix M with the vector [x, y]T, the linear mapping can be obtained.
For example, for the point (0, 1):
M * [0, 1]T = [-1, 1]
Similarly, for the point (1 + i, i):
M * [1 + i, i]T = [-1 + i, -1 + i]
Therefore, we get the linear mapping:
x = -1 + (2/2)(x + iy), y = -1 + (2/2)(x - iy)
The second linear mapping can be found by using the following matrix:
N = [e f]
[g h]
where, e = 2/2, f = -1, g = 2/2, h = 1.
By multiplying the matrix N with the vector
[x, y]T, the linear mapping can be obtained.
For example, for the point (0, 1):
N * [0, 1]T = [-1, 1]
Similarly, for the point (1 + i, i):
N * [1 + i, i]T = [i, -1 + i]
Therefore, we get the linear mapping:
x = -1 + (2/2)(x + y), y = -1 + (2/2)(-x + y)
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Because library books are read many times, glue is often applied to the spine of a book to keep the pages tight. A glue is considered successful if a book lasts at least 6 months before needing to be reglued. Two brands of glue, G and K, were tested to determine whether there was a difference in the proportion of books lasting at least 6 months. Let pG represent the proportion of books lasting at least 6 months when glued with G, and let pK represent the proportion of books lasting at least 6 months when glued with K. The following hypothesis test was conducted at the significance level of α=0.01
.
H0:pG=pKHa:pG≠pK
All conditions for inference were met, and the resulting p p-value was 0.006. Which of the following is the correct decision for the test?
The p-value is less than α, and the null hypothesis is rejected. There is not convincing evidence to support the claim that the proportion of books lasting at least 6 months when glued with G is different from the proportion of books lasting at least 6 months when glued with K.
A. The p-value is less than α, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of books lasting at least 6 months when glued with G is different from the proportion of books lasting at least 6 months when glued with K.
B. The p-value is less than α, and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of books lasting at least 6 months when glued with G is different from the proportion of books lasting at least 6 months when glued with K.
C. The p-value is greater than α, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of books lasting at least 6 months when glued with G is different from the proportion of books lasting at least 6 months when glued with K.
D. The p-value is greater than α, and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of books lasting at least 6 months when glued with G is different from the proportion of books lasting at least 6 months when glued with K.
The correct decision for the test is B.
What is value?Value is a concept that has been debated for centuries and is often defined as the worth or importance attributed to an object, person, or idea. It can be quantified, such as by a price, or it can be something intangible, such as respect, trust, or loyalty. Value can also be subjective and differ from one person to the next, depending on their individual needs and desires. Ultimately, the true value of something lies within the eye of the beholder.
The p-value is less than α, and the null hypothesis is rejected. There is not convincing evidence to support the claim that the proportion of books lasting at least 6 months when glued with G is different from the proportion of books lasting at least 6 months when glued with K.
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suppose you and your best friend have a (wealthy, generous and whimsical) mutual friend and you go to a party where he is distributing k iphones among the n people who show up at the party. assuming he chooses the k recipients uniformly at random, prove that the probability that you and your best friend both get iphones is k(k-1) / n(n-1)
Assuming the wealthy, generous and whimsical friend chooses the k recipients uniformly at random, there are nCk ways to select the k people from the n who show up at the party.
The number of ways that you and your best friend can both receive iPhones is equal to the number of ways to select k-2 people from the remaining n-2 people, multiplied by 2 (since you can be selected first or second among the k recipients).
Therefore, the probability that you and your best friend both receive iPhones is: 2 * (n-2Ck-2) / nCk
Simplifying this expression using combinatorial identities, we get: 2 * (n-2Ck-2) / nCk = 2 * [(n-2)! / (k-2)! (n-k)!] / [n! / k! (n-k)!] = 2 * k(k-1) / n(n-1)
Thus, the probability that you and your best friend both receive iPhones is k(k-1) / n(n-1).
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Helppp please again please please
The number of minutes that the passenger can travel in the taxi would be = 6.67mins.
How to calculate the number of minutes used by passenger?The amount of money paid for 1 minute = $3.00
The amount of money that a passenger has = $20
The number of minutes that the passenger can travel = ?
That is;
1 minute = $3.00
X minutes = $20
make X the subject of formula:
X mins = 20×1 /3
X mins = 6.67mins
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consider the function y=8x. how do the y values of this function grow
by adding 8
by multiplying the previous y value by 8
by adding 8, then 16, then 32…
Answer:8 16 34
gdgdfgdf
Step-by-step explanation:
dgdfgdfgdfgdfgdfgdf
Answer:by adding 8
Step-by-step explanation:
i just took it
which of these existential quantifications are true, where the domain of x is the positive integers?
Two out of the three given existential quantifications are true, while one is false.
In mathematics, quantifiers are used to describe the properties of a set or a domain. One such quantifier is the existential quantifier, which is used to indicate the existence of at least one element in a set that satisfies a given property. In this case, we are interested in finding out which of the given existential quantifications are true, where the domain of x is restricted to positive integers. Let's explore this in more detail.
The domain of x is the set of positive integers, which means that x can only take on values such as 1, 2, 3, 4, and so on. The given existential quantifications are as follows:
∃x(x²=9)
∃x(x+3=5)
∃x(x²=2)
Let's examine each of these in turn.
∃x(x²=9)
This existential quantification is true. To see why, we need to find an integer value of x such that x² equals 9. We can easily see that x=3 satisfies this property, since 3² = 9. As 3 is an integer and satisfies the condition, the statement is true.
∃x(x+3=5)
This existential quantification is also true. We need to find an integer value of x such that x+3 equals 5. This can be easily done by subtracting 3 from both sides of the equation to get x=2. As 2 is an integer and satisfies the condition, the statement is true.
∃x(x²=2)
This existential quantification is false. We need to find an integer value of x such that x² equals 2. However, there is no such integer value of x. This can be proven using the fact that the square of any integer is always a non-negative integer. Therefore, the statement is false.
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Complete Question:
Which of these existential quantifications are true, where the domain of x is the positive integers?
∃x(x²=9)
∃x(x+3=5)
∃x(x²=2)
Use the commutative property of addition to collect like terms
Answer: The commutative property of addition states that changing the order of the terms being added does not change the sum. Therefore, we can rearrange the terms in an expression in any order we choose without changing the result.
For example, if we have the expression:
3x + 2y + 4x + 5y
We can use the commutative property of addition to rearrange the terms as:
3x + 4x + 2y + 5y
Then, we can collect the like terms (terms with the same variable and exponent) by combining the coefficients:
7x + 7y
So the simplified expression is 7x + 7y.
Step-by-step explanation:
A cone has a volume of 37. Use this to match each question with its answer below.
If the cone's radius is 1, what is its height?
If the cone's radius is 2, what is its height?
If the cone's radius is 5, what is its height?
If the cone's radius is 1/2, what is its height?
d. 36 units
c. 9 units
b. 25 units
d. 9 units
The heights for the given radius and volume are 35.35 units, 8.83 units, 1.41 units and 141.40 units
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
Given that, a cone a volume of 37 units³, we need to find the heights for given radii,
We know that, the volume of a cone = π×radius²×height/3
Therefore,
1) If the cone's radius is 1, then its height =
37 = π×1×h/3
h = 37×3/3.14
h = 35.35 units
2) If the cone's radius is 2, then its height =
37 = π×4×h/3
h = 37×3/3.14×4
h = 8.83 units
3) If the cone's radius is 5, then its height =
37 = π×25×h/3
h = 37×3/3.14×25
h = 1.41 units
4) If the cone's radius is 1/2, then its height =
37 = π×1×h/3×4
h = 141.40 units
Hence, the heights for the given radius and volume are 35.35 units, 8.83 units, 1.41 units and 141.40 units
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n²-n-56 factoring trinomials
Answer:
(n - 8)(n + 7)
--------------------
Given trinomial:
n² - n - 56Apply Viet's theorem.
The sum of the roots is 1 and the product of the roots is - 56.
This is achieved when the roots are 8 and - 7.
n² - n - 56 = (n - 8)(n - (-7)) = (n - 8)(n + 7)The Grand Vizier of the Kingdom of Um is being blackmailed by numerous individuals and having a very difficult time keeping his blackmailers from going public. He has been keeping them at bay with two kinds of payoff: gold bars from the Royal Treasury and Political Favor Through bitter experience, he has learned that each payoff in gold gives him peace for average of about 1 month, while each political favor seems to earn him about a month and half of reprieve To maintain his flawless reputation in the Court, he feels he cannot afford any revelations about his tainted past to come to light within the next year. Thus it is imperative that his blackmailers be kept at bay for 12 months. Furthermore, he would like to keep the number of gold payoffs at no more than one-quarter of the combined number of payoffs because the outward flow of gold bars might arouse suspicion on the part of the Royal Treasurer. The Grand Vizier feels that he can do no more than seven political favors per your without arousing undue suspicion in the Court. The gold payoffs tend to deplete his trave budget. (The treasury has been subsidizing his numerous trips to the Himalayas.) He estimates that each gold bar removed from the treasury will cost him four trips. On the other hand because the administering of political favors tends to cost him valuable travel time, he suspec that each political favor will cost him about two trips. Now, he would obviously like to keep his blackmailers silenced and lose as few trips as possible. What is he to do? How many trips wil he lose in the next year?
To keep his blackmailers at bay for 12 months, the Grand Vizier needs to balance the number of gold payoffs and political favors he gives to them. Let's represent the number of gold payoffs by G and the number of political favors by P.
From the given information, we have:
Each gold payoff gives him an average of 1 month of reprieve.
Each political favor gives him an average of 1.5 months of reprieve.
He cannot afford any revelations about his past to come to light within the next year, which means he needs to keep his blackmailers at bay for 12 months.
He wants to keep the number of gold payoffs at no more than one-quarter of the combined number of payoffs.
He can do no more than seven political favors per year.
Each gold bar removed from the treasury will cost him four trips.
Each political favor will cost him about two trips.
Let's first calculate the maximum number of political favors he can give in a year:
7 political favors per year
Next, let's find the maximum number of payoffs he can give in a year:
G + P = total number of payoffs
G ≤ 0.25(G+P) (to keep the number of gold payoffs at no more than one-quarter of the combined number of payoffs)
Simplifying the second equation, we get:
G ≤ 0.25G + 0.25P
0.75G ≤ 0.25P
3G ≤ P (multiplying both sides by 3)
So the maximum number of payoffs he can give in a year is 7 + G, where G ≤ 3.
Next, we need to find the combination of payoffs that will give him the most reprieve while losing the fewest trips. We can use a table to calculate the reprieve and trip costs for different combinations of payoffs: look at the table
From the table, we see that the best combination is G=3 and P=4, which will give him a total reprieve of 12 months (the required time) while costing him 26 trips (the minimum possible). Therefore, the Grand Vizier will lose 26 trips in the next year.
You decide to clean the bathroom. You notice that the shower is covered in a strange green slime. You decide to try to get rid of this slime by adding lemon juice. You spray half of the shower with lemon juice and spray the other half of the shower with water. After 3 days of “treatment”, there is no change in the appearance of the green slime on either side of the shower.
Independent Variable:
Dependent Variable:
Control:
Constant:
A variable is defined as the alphabetic character that expresses the unknown value or unknown number. It can be changed according to the operations performed.
In this experiment,
Each side of the shower is sprayed with lemonade juice to determine whether it has any changes in the cleanliness of the shower. So each side of the shower with lemon juice is an independent variable.
This dependent variable is a variable that can measure Lemonade a manipulated variable or independent variable has any effect on it, such as whether lemonade juice cleans the slime off of the side or not.
A control is something that remains unchanged to assess the condition or impact which has not changed or may be contrasted to it. In the this scenario, the water spray is under command.
The experiment concludes drinking lemonade seems to not influence the cleaning of slime inside the shower.
Thus, slime is constant.
Hence,
Each side of the shower with lemon juice is an independent variable.Shower cleanliness is a dependent variable.A water spray can be used to keep things under control.Slime is constant.Learn more about variables here:
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If P(A)=0.8,P(B)=0.5 and P(B∣A)=0.4, find(i) P(A∩B)(ii) P(A∣B)(iii) P(A∪B)
(i) P(A ∩ B) = 0.32.
(ii) P(A|B) = 0.64.
(iii) P(A ∪ B) = 0.98.
(i) Using the formula P(B|A) = P(A and B) / P(A), we can rearrange to get:
P(A and B) = P(B|A) * P(A) = 0.4 * 0.8 = 0.32
Therefore, P(A ∩ B) = 0.32.
(ii) Using Bayes' theorem, we can calculate P(A|B) as follows:
P(A|B) = P(B|A) * P(A) / P(B)
We are given P(B|A) = 0.4, P(A) = 0.8, and P(B) = 0.5, so:
P(A|B) = 0.4 * 0.8 / 0.5 = 0.64
Therefore, P(A|B) = 0.64.
(iii) Using the formula P(A ∪ B) = P(A) + P(B) - P(A ∩ B), we can plug in the values we have already calculated:
P(A ∪ B) = 0.8 + 0.5 - 0.32 = 0.98
Therefore, P(A ∪ B) = 0.98.
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how many
times would you expect to draw an
ace out of 200 draws?
We would expect an ace to be drawn about 32 times out of 200 draws based on Eli's experiment.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given, A small deck of cards has 4 kings, 3 queens, 2 jacks, and 1 ace.
To determine the expected number of times an ace would be drawn out of 200 draws, we need to use the probability of drawing an ace and multiply it by the total number of draws.
The probability of drawing an ace is the number of aces divided by the total number of cards:
Probability of drawing an ace = (12) / (75)
= 4/25
Therefore, the expected number of times an ace would be drawn out of 200 draws is:
Expected number of aces = Probability of drawing an ace x Total number of draws
= (4/25) x 200 = 32
So we would expect an ace to be drawn about 32 times out of 200 draws based on Eli's experiment.
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Find the mean median range and interquartile range of the following data set 11,13,17,20,22,25,27,31,31,33
Answer:
Mean: 23
Median: 23.5
Range: 22
Step-by-step explanation:
How to find the mean: Add all the numbers then divide by the amount of numbers.
How to find the median: Find the middle of all the numbers, there are two middle numbers here so you have to add those two middle numbers and then divide by two to get your answer.
How to find range: Take your highest number and subtract by your lowest
The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 1 and a root of multiplicity 1 at x = -5. The y-intercept is y = -0.5. Find a formula for P(x). P(x) =
The expression of the polynomial is 0.1(x - 1)^2(x - 5)
How to determine the polynomialFrom the question, we have the following parameters that can be used in our computation:
A root of multiplicity 2 at x = 1 and A root of multiplicity 1 at x = -5y-intercept = -0.5A polynomial is represented as
P(x) = a * (x - zero)^multiplicity
Using the above as a guide, we have the following:
P(x) = a * (x - 1)^2(x - 5)
The y-intercept is -0.5
So, we have
a * (0 - 1)^2(0 - 5) = -0.5
This gives
a =0.1
So, we have
P(x) = 0.1(x - 1)^2(x - 5)
Henc,e the expression is P(x) = 0.1(x - 1)^2(x - 5)
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equivalent linear expressions
The expression which is equivalent to -5(b - 6) as required to be determined in the task content is; -5b + 30.
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Since the expression given is; -5(b- 6).
By using the distributive property of numbers
= (-5 × b) + (-5 × -6)
= -5b + 30
Thus, the linear expression which is equivalent to -5(b - 6) as required is; -5b + 30.
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The Question attached seems to be incomplete/ inappropriate. the complete Question is:
Which expression is equivalent to -5(b - 6).
9 Shop A sells 10 eggs for $4.20. Shop B sells 8 eggs for $2.40. Find the difference in the price of one egg.
This pattern repeats every 5 terms. The pattern is rectangle, pentagon, square, hexagon, pentagon. What is the 19th term of this pattern?
Answers Square
Pentagon
Hexagon
Rectangle
please help asap I need this lesson passed.
The area of the triangle will be 1 square foot.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle, the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Calculate the value of x of the small right-angle triangle.
4² = ( 3 + x )² + (2 / 3 )²
16 + 9 + 6x + x² + 4 / 9
7 = x² + 6x + 4 / 9
9x² + 54x - 59 = 0
x = 0.9 ft
The area of the triangle will be calculated as:-
Area = ( 1/2 ) x 3.9 x ( 2 / 3 ) - (1/2 ) x 0.9 x ( 2 / 3 )
Area = ( 1 / 2 x 2 / 3 ) ( 3.9 - 0.9 )
Area = ( 1 / 3 ) x 3
Area = 1 square ft
Therefore, the triangle's area will be one square foot.
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