It divides by three. According to the law of divisibility for three, a number is fully divisible by three if its digit sum is likewise divisible by three.
What is divisibility test?The divisibility rule is a clear and useful method for determining if an integer is divisible by a given set of divisors without actually doing division, sometimes simply looking at the integer's digits. The divisibility test allows you to rapidly determine if a given integer can be divided by a specified divisor without actually doing the division process. The quotient must be an integer and the remainder must be zero when dividing two numbers precisely.
here
add all the numbers,
326 = 3+2+6 = 11
so it is not divisible by 3
327 = 3+ 2 + 7 = 12
so it is divisible by 3
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Carl is filling flowerpots with soil. Each flowerpot is a cylinder with a radius of 7cm and a height of 10 cm. If Carl has 24,000 cubic centimeters of soil, how many flowerpots can he fill? Explain. Cylinder
Answer:
1
Step-by-step explanation:
V = pie x 7² x h
V = 3.14 ×7² x 10
V = 3.14 x 49 x 10
V = 3.14 x 490
V = 1538.6
If you add 2 it will make it 3077.2 and that goes over so 1
Hope this helps :)
What is the first step to prove that 9n - 4n is divisible by 5?
Answer:
Collect like terms, ie do 9n-4n = 5n ...
5n will then be exactly divisible by 5 as 5n / 5 = n
What is the degree of polynomial 2 y² Y³ 2y8?
The degree of the polynomial [tex]2yA^2yA^32y^8[/tex] is 15
A polynomial's degree is the sum of the degrees of its monomials with non-zero coefficients. A term's degree is the sum of the exponents of the variables in it, and it is thus a non-negative integer.
The degree of a polynomial is the highest or largest power of a variable in a polynomial equation. The degree denotes the polynomial with the maximum exponential power (ignoring the coefficients).
Consider the following polynomial expression with two variables: [tex]x^3 + 6x^2y^4 + 3y^2+5[/tex]
The polynomial has a degree of 6.
This is because the exponent values of x and y in the second term of the algebraic formula, [tex]6x^2y^4[/tex], are 2 and 4, respectively. We get 6 when we sum the exponent values. As a result, the multivariable polynomial expression has a degree of 6.
As per question, polynomial is: [tex]2yA^2yA^32y^8[/tex]
The total sum of power is: 1+2+1+3+8=15
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What is the relationship between the line of reflection and the segments connecting the corresponding points?
The relationship between the line of reflection and the segments connecting the corresponding points is perpendicular bisector.
Here we have to find the relationship between the line of reflection and the segments connecting the corresponding points
In order to find the relationship we must know what is meant by line of reflection.
The term line of reflection is defined as a line that lies in a position between two identical mirror images so that any point on one image is the same distance from the line as the same point on the other flipped image.
As per the definition of the term we have identified that the relationship between these two element is perpendicular to the segment and bisects it. Because the line of reflection is the perpendicular bisector of the segment joining corresponding points of the preimage and image.
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The function f is defined by f(x) = x^2 + 3x - 10. If f(x-2) = x^2 + bx + c, what are the values of b and c?
______________________________
When you put the answer could you put the steps that you took, so I could use it on other problems
Thanks
Distributive Property
Factoring
FOIL (First Outside Inside Last)Functions
Function NotationApplicationStep 1: DefineLet's organize what is given to us in the problem.
We are given a function f, defined as f(x) = x² + 3x - 10.
We are asked to find the values of b and c in f(x - 2) = x² + bx + c.
Step 2: SolveIn order to solve the question, we first must find the full function of f(x - 2):
[tex]\displaystyle\begin{aligned}f(x - 2) & = (x - 2)^2 + 3(x - 2) - 10 \\& = \underbrace{x^2 - 4x + 4}_{\text{FOIL}} + \underbrace{3x - 6}_{\text{Distribute}} - 10 \\& = \boxed{ x^2 - x - 12 } \\\end{aligned}[/tex]
∴ [tex]\displaystyle \boxed{ f(x - 2) = x^2 - x - 12 }[/tex]
Now, we can correlate our variables to the f(x - 2) function by comparing them side-by-side:
[tex]\displaystyle\begin{aligned}f(x - 2) & = x^2 - x - 12 \\& = x^2 + bx + c \\& \Rightarrow \boxed{ b = -1 ,\ c = -12 }\end{aligned}[/tex]
∴ we have found the values of b and c.
Answer∴ the value of b is equal to -1 and the value of c is equal to -12.
___
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___
Topic: Algebra I
Unit: Factoring
PLEASE HELP ASAP
Combine like terms
8x + 3 - 5x + 9
Answer: B
Step-by-step explanation: [tex]8x-5x=3x\\3+9=12\\[/tex]
Hope this helps any
Answer:
B. 3x+12
Step-by-step explanation:
8x+3-5x+9
First combine the x. So, 8x-5x=3x
Next combine the 3 and the 9. So, 3+9=12
After you combined like terms your equation now looks like: 3x+12
Hope it helped you.
m∠A =
, m∠B =
, m∠C =
What property is illustrated in if ∠a ≅ ∠B ∠B ≅ ∠C then ∠a ≅ ∠CA reflexive property C transitive property B symmetric property d addition property?
The property of congruence illustrated in the statement is the transitive property.
What is transitive property?The transitive property states that if A is congruent to B and B is congruent to C, then A is congruent to C. In other words, if two things are congruent to a third thing, they are also congruent to each other.
here,
In the statement "If AB ≅ DE, EF ≅ DE then AB ≅ EF," AB is congruent to DE, and EF is congruent to DE, so AB must also be congruent to EF according to the transitive property.
The other properties you listed are not applicable in this case. The symmetric property states that if A is congruent to B, then B is congruent to A. The reflexive property states that every object is congruent to itself. And multiplication is not a property of congruence.
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Select the correct answer.
The class sizes of the Introductory Psychology courses at a college are shown below.
121, 134, 106, 93, 149, 130, 119, 128
The college adds a new Honors Introductory Psychology course with 45 students. What effect does the new class size have on the center and spread of the class sizes of the Introductory Psychology courses at the college?
A. The value of the center increases and the distribution has a larger spread.
B. The value of the center decreases and the distribution has a smaller spread.
C. The value of the center decreases and the distribution has a larger spread.
D. The value of the center increases and the distribution has a smaller spread.
Center : Mean Before the introduction of the new course, center = average(121,134,106,93,149,130,119,128) = 122.5 After the introduction of the new course, center = average(121,134,106,93,149,130,119,128,45) = 113.9 The center has moved to the left (if plotted in a graph) because of the low intake for the new course. Spread before introduction of the new course : Arrange the numbers in ascending order: (93, 106,119, 121), (128, 130,134, 149) Q1=median(93,106,119,121) = 112.5 Q3=median(128,130,134,149) = 132 Spread = Interquartile range = Q3-Q1 = 19.5 After addition of the new course,
(45,93, 106,119,) 121, (128, 130,134, 149)
Q1=median(45,93,106,119)=99.5
Q3=median (128, 130,134, 149)= 132
Spread = Interquartile range = 132-99.5 =32.5
We see that the spread has increased after the addition of the new course.
Hi I need help on this I've tried about 55 times already and I want to smash my computer into bits so if anyone can help please I need it
Answer:
150.35 units²
Step-by-step explanation:
area of full circle = πr² = (3.14)(13²) = 530.66 units²
area of 102° segment = (102/360)(530.66) = 150.35 units²
I dont know what this person meant, help :)
they said "what period are you in 7th?" exactly like this is how they said it
Answer:
as in what class period are you so for example
period 1:math etc
Answer:
im guessing they meant classes, they probably asked what time are your classes in 7th grade... ( I.D.K. i tried my best lol)
Step-by-step explanation:
Explain the process how would you estimate the solution of system of equation to the nearest tenth place
The actual solution must be approximated to the tenth place.
How do you solve an equation to the nearest tenth?
To round the decimal number to its nearest tenth, look at the hundredth number. If that number is greater than 5, add 1 to the tenth value. If it is less than 5, leave the tenth place value as it is, and remove all the numbers present after the tenth place.
To estimate the tenth place, you have to determine the actual solution and the approximate.
Assume the solution to the system of equations is:
(x, y), (1.25, 1)
1.25 is to the hundredth place.
So, the next thing is to approximate 1.25 to 1.3 (the tenth place).
So, we have:
(x, y), (1.3, 1)
Hence, the actual solution must be approximated to the tenth place.
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without computing, decide whether the vaule of each expresstion is much smaller than 1, close to 1, or much greater than 1
Answer: uhm...
Step-by-step explanation:
2...?
Simplify and leave in radical form.
∜x^2
Answer: √ x
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Which statement about credit reports is correct?
Select the best answer from the choices provided.
A.
Credit reports are only available to banks and businesses that pay agencies for them.
B.
The government issues credit reports and offers them for free to consumers.
C.
Credit reporting agencies provide credit reports to consumers only upon payment of a fee.
D.
Credit reporting agencies provide a free credit report each year upon request.
Answer: .
Credit reporting agencies provide a free credit report each year upon request
Step-by-step explanation:
A credit report simply refers to the record of the credit history of a borrower from sources, such as collection agencies, banks, credit card companies, and governments.
It should be noted that an individual will be given one free copy of his or her credit report every year. Therefore, the correct option will be D.
On average, what value is expected for the F-ratio if the null hypothesis is true? a. 1 b. k-1 c. N-k on average, what value is expected for the F-ratio if the null hypothesis is false? a.1 b. 0
c. Between 0 and 1.00 d. Much greater than 1.00
The F-ratio is a measure used in statistical tests, specifically in ANOVA (Analysis of Variance) to test for differences between means of multiple groups.
a) On average, what value is expected for the F-ratio if the null hypothesis is true?
The answer is a. 1. If the null hypothesis is true, it means that there is no significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value close to 1, as the variance between the groups is not significantly different from the variance within the groups.
b) On average, what value is expected for the F-ratio if the null hypothesis is false?
The answer is d. Much greater than 1.00. If the null hypothesis is false, it means that there is a significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value much greater than 1, as the variance between the groups is significantly larger than the variance within the groups.
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If you vertically stretch the exponential function, f(x) = 2%, by a factor of 3,
what is the equation of the new function?
A. g(x) = • 2*
B. g(x) = 3.2%
C. g(x) = 2.3%
D. g(x) = 23x
If you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x
Exponential functionThe standard exponential function is expressed as:
y = ab^x
The value of x determines the nature of a graph whether vertical or horizontal stretch.
If x > 1, it is a vertical stretch
Given the function f(x) = 2^x, if you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x
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Find the distance between the two points.
Usa test prep
PLEASE HELP ANSWER GETS BRAINIEST!
Please Help!!
In desperate need!
Find the final price or each product after sales tax is applied. Round to the nearest cent. Potted Plant: $17.29 Sales Tax: 3%
Answer:
17.81 would be your answer.
Step-by-step explanation:
You would do 17.29 x 1.03 to get the price after sales tax is added which would be 17.81
help wirh question 3 pls giving brainliest
Answer:
24a + 16g
Step-by-step explanation:
So the answer is 24a + 16g because you cant add variables together. When you multiply this because it is distibutive property you get that answer.
And also for extra proof,
Once you get the 6 you distributively divide to the power of the 92nd declaring independence for all turds stuck in your stomach.
[(5-4)+1]*12
[1+1]*12
2*12
24
:D Hope this helps! (for real the first part is true)
What percent of 48 is 16?
Answer:
Step-by-step explanation:
hello follow me on zepeto if this helps
16 is 33.3333% of 48. 33 is the whole number hope you get a
A grocer can buy strawberries for $1.38 per pound. What is the constant of proportionality?
It means that the grocer has to pay $1.38 for each pound of strawberries. So the constant of proportionality for this scenario is $1.38
What is proportionality?Proportionality is a mathematical relationship between two variables, where the ratio of one variable to the other is always the same, regardless of the values of the variables. The variables are said to be in proportion if there is a constant of proportionality "k" such that one variable is equal to "k" times the other variable. In other words, if y is proportional to x, the relationship is represented by an equation of the form y = kx, where "k" is the constant of proportionality.
What is constant?A constant is a value that does not change. In mathematical terms, it refers to a value in an equation that remains the same and does not depend on the variables. For example, in the equation y = kx, "k" is a constant. It is a fixed numerical value that relates two variables in a proportionality relationship. Constants can be represented by a number, a letter or a symbol.
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The average amount of money spent for lunch per person in the college cafeteria is $5. 97 and the standard deviation is $2. 25. Suppose that 46 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.
What is the distribution of X? X~ N(_______,_______)
What is the distribution of ¯x? ¯x~ N(______,_____)
For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6. 4225 and $6. 5884.
For the group of 46 patrons, find the probability that the average lunch cost is between $6. 4225 and $6. 5884
We determined that the probability of lunch cost is between the above-mentioned value is P (0.2011 < Z < 0.2748)
What is probability and statistics?
Probability is the possibility of happening an event. It is expressed as the ratio of the number of favorable outcomes to the total possible outcome.
We can find probability from a statistical data based on the mean value and standard deviation.
What is the probability of the given data?given, average cost for lunch per person = mean value = $5.97
standard deviation of cost = $2.25
number of samples = 46
assume distribution of money spent is normal.
the probability of a single lunch patron that has a cost between $6.4225 and $6.5884 can be calculated by the following way.
Z-score = (actual price - mean price) / standard deviation
Z-score when actual price is $6.4225.
Z = ($6.4225 - $5.97) / $2.25
Z = 0.2011
Now, Z-score when actual value is $ 6.5884.
Z = ($6.5884 - $5.97) / $2.25
Z = 0.2748
If actual value is denoted by X than the probability is shown as
P (6.4225< X< 6.5884) and P (0.2011< Z< 0.2748)
For the group of 46 patrons the above probability is also the same.
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PLEASE HELP ME, ITS DUE RN
Answer:
here you go
Step-by-step explanation:
35+a+b+c=270
35+a=90
a+b=180
35+90+c=180
Bretts history quiz scores are 84, 78, 92, 90, 85, 91, and 0. Decide which measure(s) of center best describes the data set. Explain your reasoning.
Answer:
the median best describes the data
the mean is less than 5 of the data points
the range only describes 2 of the data points
thus the median best describes the data
Step-by-step explanation:
Median is the number in the centre of a set of observations
0. 78, 84,85,90,91,92, the median is 85
range = highest - lowest = 92 - 0 = 92
mean = sum of observations / number of observations = 74.3
help me please . I don't know which method to use. maybe the time=
[tex] \frac{distance}{speed} [/tex]
or....
A restaurant meal for a group of people cost $85 total. This amount included a 6% tax and an 18% tip, both based on the price of food. Which equation could be used to find f, the cost of the food?
can someone help me with this but please with details on how u got the answer:
The function’s average rate of change over the interval from x: 1 to x:2 is:
The function’s average rate of change over the interval from x = 1 to x = 2 is: -2. The correct option b.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
We have the interval from x = 1 to x = 2.
To find the function’s average rate of change over the interval from x = 1 to x = 2 is:
We interpreted the interval in the coordinate form.
The curve from (1, 2) to (2, 0) is a straight line.
And the slope of the line is the average rate of change of the function.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
m = (0-2) / (2-1)
m = -2/1
m = -2
Therefore, the average rate of change is -2.
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write the equation of the line passing through the point (4, -6) with a slope of 1/2?
Answer:
Step-by-step explanation:
We know that , the equation of line when the slope and the coordinates are given is:
y - y1 = m(x - x1)
where x1 = 4 , y1 = -6 and m = 1/2
therefore, y -(-6) = 1/2(x - 4)
y + 6 = x/2 - 2
6+2 = x/2 - y
8 = x - 2y/2
16 = x - 2y
required equation : x-2y-16=0