Answer:
(x - 3) (x - 9)
Step-by-step explanation:
x² - 12x + 27
x² - 3x - 9x + 27
x(x - 3) - 9(x - 3)
(x - 3) (x - 9)
Thus, The answer is (x - 3) (x - 9)
When dividing 80 by 9, what is the remainder?
Answer:
8
Step-by-step explanation:
The number 80 is called the numerator or dividend, and the number 9 is called the denominator or divisor.
The quotient (integer division) of 80/9 equals 8; the remainder (“left over”) is 8.
80 is the dividend, and 9 is the divisor.
While Mackenzie was sitting on a bench in the mall, 4 men with a beard and 2 men without a beard walked by. What is the experimental probability that the next man to walk by will have a beard?
The experimental probability that the next man to walk by will have a beard is 2/3
How to determine the experimental probability that the next man will have a beard?From the question, we have the following parameters that can be used in our computation:
Men with beard = 4
Men without beard = 2
This means that
P(Beard) = Beard/Total
Substitute the known values in the above equation, so, we have the following representation
P(Beard) = 4/6
Simplify
P(Beard) = 2/3
Hence the probability is 2/3
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A wedding singer is paid $60 per hour plus $15 for travel expenses. Identify the independent and dependent variables. Then write a rule in function notation for the situation, letting x represent the independent variable.
The expression for the situation regarding the wedding singer is 15 + 60x.
The independent variable is the travel expense.
The dependent variable is the amount per hours.
What is the expression for the situation?It ie important to note that an expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
Let the number of hours be x
Since the wedding singer is paid $60 per hour plus $15 for travel expenses, the expression will be:
= 15 + (60 × x)
= 15 + 60x
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-5x=-35 cuánto es resultado
Use the marginal tax rate chart to answer the question. Tax Bracket Marginal Tax Rate $0–$10,275 10% $10,276–$41,175 12% $41,176–$89,075 22% $89,076–$170,050 24% $170,051–$215,950 32% $215,951–$539,900 35% > $539,901 37% Determine the effective tax rate for a taxable income of $180,900. Round the final answer to the nearest hundredth.
19.50%
20.00%
21.11%
32.00%
For a taxable income of $1,80,900, the effective tax rate is 21.11%.
what is meant by marginal tax?Marginal tax is the tax rate applied to an individual’s last dollar of income. It is the additional tax that must be paid on any additional income earned. In other words, it is the tax rate that applies to an individual’s income after all deductions. For example, if an individual’s income is $50,000 and the marginal tax rate is 25%, then the individual must pay an additional $12,500 in taxes on top of the $25,000 in taxes already paid on their $50,000 income.
Marginal tax rates are progressive, meaning that as an individual’s income increases, the marginal tax rate will increase as well. The marginal tax rate is important to understand because it helps individuals determine how much additional income they will need to earn in order to make up for the taxes they will have to pay on that income. It is also important to understand how marginal tax rates can affect tax planning strategies.
To determine the effective tax rate for a taxable income of $180,900, calculate the sum of the marginal tax rates for each tax bracket that the $180,900 falls into. The taxable income of $180,900 is greater than $89,075 and less than $170,050. The marginal tax rates for these two tax brackets are 22% and 24%, respectively. The sum of the marginal tax rates is 46%. Divide the sum by the taxable income of $180,900 to get the effective tax rate of 21.11%. Round the final answer to the nearest hundredth to get 21.11%.
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Frank wants to earn at least $47 trimming trees. He charges $7 per hour and pays $9 in equipment fees. What are the possible numbers of hours Frank could trim trees?
By setting up the equation and solving and simplifying the equation, the possible number of hours Frank can trim tree is 5.43 hours, round off the hour that will be 6 hours.
What is Algebraic simplification?Algebraic simplification is the process of rewriting an algebraic expression in a simpler form, without changing its value.
What is algebraic expression?An algebraic expression is a combination of numbers, variables, and arithmetic operations that can be evaluated to a specific numerical value.
let the required number of hours be h,
so setting up the equation,
7h + 9 = 47
Then we can subtract 9 from both sides to isolate h:
7h + 9 - 9 = 47 - 9
7h = 38
Dividing both sides by 7 gives us:
7h/7 = 38/7
h = 5.43
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Breanne plans to invest her money into a simple interest savings account. Currently she has $14,374 to invest and the current market rate is 3.3% for annual interest yield. How long (in years) will Breanne need to leave the money in the account for it to earn $7,758 in interest? Round answer to the nearest hundredth (2 decimal places) of a year.
The intrest will be X=1293000/79057.
What is intest ?Interest is the price of you pay to borrow money or it is cost you charge to lend money.
Based on the given condition we know that
{P=14374
{R=3.3%
{I=7758
Formulate and substitute
Substitute {P=14374
{R=3.3%
{I=7758
These are into formula I=Prt
7758=14374rt
We have to solve the equation
14374×0.033x=7758
Multiply
474.342x=7758
Devide both sides
X = 7758/474.342
By calculating we can get
X =1293000/79057
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A forest ranger looking out from a ranger's station can see a forest fire at a 35 degree angle of depression. The ranger's position is 100 feet above the ground. How far is it from the ranger's station to the fire? Round your answer to the nearest tenth of a foot.
To find the distance from the ranger's station to the forest fire, we can use the tangent function and the information given in the problem. The tangent of an angle is defined as the ratio of the opposite side to the adjacent side in a right triangle. In this case, we can use the angle of depression to the forest fire, the height of the ranger's station above the ground, and the distance from the ranger's station to the forest fire to form a right triangle.
We can then use the tangent function to find the distance from the ranger's station to the forest fire as follows:
tan(35°) = opposite/adjacent
opposite = tan(35°) * adjacent
opposite = tan(35°) * 100 feet
opposite = 0.7392 * 100 feet
opposite = 73.92 feet
Therefore, the distance from the ranger's station to the forest fire is approximately 74 feet. To the nearest tenth of a foot, this is 73.9 feet.
I need some step to solve this please
Answer:
MN = 50
Step-by-step explanation:
You want the length of the base segment MN in triangle MNO, where MN is marked 41+3x and parallel midsegment PQ is marked 49-8x.
MidsegmentThe midsegment is half the length of the parallel base segment. That means the base segment is double the length of the midsegment:
MN = 2·PQ
41 +3x = 2(49 -8x)
41 +3x = 98 -16x
19x = 57 . . . . . . . . add 16x-41
x = 3
MN = 41 +3x = 41 +3·3 = 50
The length of MN is 50 units.
Determine which situation is represented by the given dot plot. A. Billy bought between 0 and 6 shirts from each of his favorite 6 stores. B. Across the state, 15 cities were given a score between 0 and 15 regarding the cleanliness of their community. C. Henry has 15 classmates and each has between 0 and 6 pets. D. Each of Jessica's 6 friends has between $0 and $15 in his or her wallet.
The situation which can be used to represent the dot plot is "Henry has 15 classmates and each has between 0 and 6 pets".
The correct answer option is option C
Which situation represent the dot plot?A dot plot graph is a graph plotted by using small spots to represent data.
Henry has 15 classmates and each has between 0 and 6 pets
Each dot represent a pet
Total of Henry's classmates = 15Number of class mates with 0 pets = 2Number of class mates with 1 pets = 4Number of class mates with 2 pets = 2Number of class mates with 3 pets = 3Number of class mates with 4 pets = 2Number of class mates with 5 pets = 1Number of class mates with 6 pets = 1Consequently, the dot plot represent Henry's situation of having 15 classmates and each has between 0 and 6 pets
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1. Write 4x^3- 6x + 2x^5+ 3 in standard form.
Mary earns $28 000 a year. One week she grossed $658. 0. She had sold $1673. 19 worth of merchandise. What is the rate of her commission?.
Her commission rate is 7.44%.
What is commission rate?
The payment that is either a fixed amount or a percentage of a sale is the commission rate. When they make a sale, people in commission-based professions like insurance brokers, real estate agents, and car salespeople are compensated.
The parameters given are;
The amount Mary earns annually = $28,000
The amount Mary grossed during a week = $658.00
The amount Mary had sold during the week to make the amount grossed during the week = $1673.19
Given that Mary makes $28,000 per year
Therefore;
The amount Mary earns per week = Amount earned per year/52
The amount Mary earns per week = $28,000/52 = $538.46
The amount extra she made on commission = $658.00- $538.46= $119.54
The commission rate = Commission earned/(Amount of merchandise sold)×100
The commission rate = 119.54/1673.19 × 100 = 7.14%
Her commission rate = 7.44%
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The absolute value of -12 is 12 and we can find it on the number line by going 24 times right from -12.
Answer: yes you can.
Step-by-step explanation:
Answer question please!
Answer: line and line segment
Step-by-step explanation:
What is the answer i need them now pls I'm going to fail
The least to greatest or increasing order of the given data set will be 0.1375,0.25,5/8,11/16 thus, option (C) is correct.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
As per the given data set,
The value of 5/8 = 0.625 and 11/16 = 0.6875
Thus, 0.1375 < 0.25 < 5/8 < 11/16
Hence "The least to greatest or increasing order of the given data set will be 0.1375,0.25,5/8,11/16".
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can someone help with this thank you so much .
[tex]\frac{7}{10}m-\frac{1}{3}m+2m[/tex]
The algebraic expression is [tex]\frac{7}{10}m-\frac{1}{3}m+2m[/tex] = [tex]\frac{71m}{30}[/tex]
What do you mean by an algebraic expression?
Algebraic expression is the idea of using letters or alphabets to represent numbers without specifying the actual values. Algebra Basics taught us how to use letters like x, y, and z to represent unknown values. These characters are called variables here. An algebraic expression can be a combination of variables and constants. Any multiplied value that is prefixed to a variable is a factor.
Given expression:
[tex]\frac{7}{10}m-\frac{1}{3}m+2m[/tex]
= [tex]\frac{21m-10m+60m}{30}[/tex]
= [tex]\frac{71m}{30}[/tex]
Therefore, [tex]\frac{7}{10}m-\frac{1}{3}m+2m[/tex] = [tex]\frac{71m}{30}[/tex]
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Intermediate Value Theorem Help
According to the intermediate value theorem, every continuous function is a Darboux function.
Given that,
To discuss, what is Intermediate Value Theorem.
Darboux's theorem asserts that for a function f(x) that is differentiable on the domain [a, b], there exists some point c on the open interval (a, b) such that f′(c).
Here,
The intermediate value theorem is defined as that if the function is a continuous function over a domain [a, b] with domain values f(a) and f(b) at the interval's endpoints, then the function takes any value between f(a) and f(b) at any point inside the range.
Thus, According to the intermediate value theorem, every continuous function is a Darboux function.
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Please help me
EMERGANCY
Answer:
[tex]\textsf{1.} \quad 4x \leq 25[/tex]
[tex]\textsf{2.} \quad x \leq 6.25[/tex]
3. See attachment.
Step-by-step explanation:
Given information:
You have $25 and you want to buy some baseballs that cost $4 each.Let x be the number of baseballs that you could buy.Question 1If the baseballs cost $4 each and x is the number of baseballs, then 4x represents the total cost of the baseballs.
The maximum amount of money available to spend on the baseballs is $25.
Therefore, the inequality to represent this is:
[tex]\large\boxed{4x \leq 25}[/tex]
Question 2Solve the inequality by dividing both sides by 4:
[tex]\implies \dfrac{4x}{4} \leq \dfrac{25}{4}[/tex]
[tex]\implies x \leq 6.25[/tex]
Note: As x represents the number of baseballs you can buy, and as you cannot buy part of a baseball or negative baseballs, the real solution is 0 ≤ x ≤ 6.
Question 3To graph x ≤ 6.25 on a number line:
As the value of x is included in the interval, draw a closed circle at 6.25.As the value of x is equal to or less than 6.25, draw a line to the left of the closed circle and place an arrow on its left endpoint.To graph 0 ≤ x ≤ 6 on a number line:
Place a closed circle at 0 and 6.Draw a line connecting the closed circles.What is the sampling method that involves taking a random selection of people from a defined population?.
Recall that in basketball, a team can score 1-point
baskets (free throws), 2-point baskets, or 3-point
baskets. List all of the different ways a basketball
team could score 24 points, without making any free
throws.
The possible ways a basketball team could score 24 points, without making any free throws are given below.
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,
Three types of points:
Free throws - 1 point
2 - points.
3 - points.
Now,
The different ways to have a score of 24 points without making any free throws.
Case 1:
2 x 12 = 24 points.
Case 2:
3 x 8 = 24 points.
Case 3:
2 x 6 = 12 and 3 x 4 = 12
12 + 12 = 24 points.
Case 4:
2 x 9 = 18 and 3 x 2 = 6
18 + 6 = 24 points
Case 5:
2 x 3 = 6 and 3 x 6 = 18
6 + 18 = 24 points
Similarly, we can have many possible ways.
We have to make sure that the points add to 24 points.
Thus,
The possible ways a basketball team could score 24 points, without making any free throws are given above.
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Answer:
The different ways to have a score of 24 points without making any free throws.
Case 1:
2 x 12 = 24 points.
Case 2:
3 x 8 = 24 points.
Case 3:
2 x 6 = 12 and 3 x 4 = 12
12 + 12 = 24 points.
Case 4:
2 x 9 = 18 and 3 x 2 = 6
18 + 6 = 24 points
Case 5:
2 x 3 = 6 and 3 x 6 = 18
6 + 18 = 24 points
Step-by-step explanation:
Because i know
ANSWER IT NOW!!!! Please and thanks bookie bear
Answer: 75 degrees
Step-by-step explanation:
At a grocery store, the price of a watermelon is determined by how many pounds the watermelon weighs. The price of a watermelon that weights 9.3 pounds is $6.51. Write an equation that can be used to determine the price, p, in dollars, of any watermelon based on the number of pounds, w, the watermelon weighs. Explain the process you used to determine the equation.
The equation that can be used to determine the price, in dollars, of any watermelon based on the number of pounds is p = 0.7w
What is the equation that can be used to determine the price?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.
Since the price of a watermelon that weights 9.3 pounds is $6.51, the cost per pound of watermelon will be:
= $6.51 / 9.3
= $0.7
Therefore, the equation is p = (0.7 × w) = 0.7w
where P = price
w = pound of watermelon
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the expression x^3+ax^3+bx-3 where a and b are constants, has a factor of x-3 and leaves a remainder of 15 when divided by x+2. find the value of a and b
The values of a and b in the expression x³ + ax³ + bx - 3 are a = 1 and b = -17
How to determine the values of a and b?From the question, we have the following parameters that can be used in our computation:
x^3+ax^3+bx-3
Rewrite properly
So, we have
x³ + ax³ + bx - 3
The expression has a factor of x - 3
This means that
(3)³ + a(3)³ + b(3) - 3 = 0
So, we have
27 + 27a + 3b - 3 = 0
Evaluate the like terms
27a + 3b = -24
Divide by 3
9a + b = -8
The expression has a remainder of 15 when divided by x + 2
This means that
(-2)³ + a(-2)³ + b(-2) - 3 = 15
So, we have
-8 - 8a - 2b - 3 = 15
Evaluate the like terms
-8a - 2b = 26
Divide by -2
4a + b = -13
So, we have
9a + b = -8
4a + b = -13
Subtract the equations
5a = 5
Divide
a = 1
Recall that 4a + b = -13
So, we have
4(1) + b = -13
So, we have
b = -13 - 4
Evaluate
b = -17
Hence, the values are 1 and -17
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If you have 6 cups of flour for each recipe, how much
sugar would you need to make Juliana's and Emiliano's
brownies?
Answer:
idek
Step-by-step explanation:
Answer:
Juliana uses 1/2 amount of sugar
Emiliano uses 3/2 amount of sugar
how can confidence intervals help researchers attain their purpose of using a sample to understand a population?
The reason for why the confidence intervals help researchers attain their purpose of using a sample to understand a population is given below .
In the question ,
we have been asked how does the confidence interval help researchers to attain the purpose of using a sample to understand a population ,
we know that , the confidence interval is calculated from an estimate of how far away our sample mean is from actual population mean .
the confidence interval are useful because ,
(i) by calculating the confidence intervals around any data we collect, we have additional information about the likely values we are trying to estimate .
(ii) they make data analyses richer and help us to make more informed decisions about the research questions .
Therefore , the reason how confidence interval helps is mentioned above.
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Write the expression in simplest radical form. Write the expression in simplest radical form. The image is below only answer if ur hood at geometry please!!
Answer:
Step-by-step explanation:
[tex]2\sqrt{35[/tex]
coach jenson bought 15 shirts for $180 for the basketball team. the unit rate for the shorts was 1.50 less than the unit rate for shirts. choach jenson bought the same number of shorts as shirts to complete each uniform. What was the total cost of the uniforms for the team? explain your answer
Answer:
$337.50
Step-by-step explanation:
To find the total cost of the uniforms, you will need to find the unit price of the shirts and the unit price of the shorts and then multiply each by the number of shirts and shorts, respectively.
The unit price of the shirts is the total cost divided by the number of shirts, or $180 / 15 shirts = 12/shirt.
The unit price of the shorts is
$12/shirt - $1.50/shirt = 10.5/shirt.
Since the coach bought the same number of shirts and shorts, the total number of shirts and shorts is 15 shirts + 15 shorts = 30 shirts and shorts.
The total cost of the shirts is $12/shirt * 15 shirts = $12*15 = 180.
The total cost of the shorts is $10.5/shirt * 15 shirts = 157.5
The total cost of the uniforms is the sum of the cost of the shirts and the cost of the shorts, or $180 + 157.5= 337.5.
Therefore, the total cost of the uniforms for the team is $337.5.
Please help anyone thank you.
By using proportionality, it can be calculated that-
a) Constant of proportionality that relates the length of paver in the model and the actual length is k = [tex]\frac{4}{3}[/tex]
[tex]y = \frac{4}{3}x[/tex] is the required equation which relates the length of paver in the model and the actual length of the paver
b) Area of the rectangle = [tex]\frac{1}{3}[/tex] sq.feet
Constant of proportionality that relates the area of paver in the model and the actual area is k = [tex]\frac{9}{16}[/tex]
What is proportionality?
Suppose there are two quantities. Proportionality indicates that if there is a change in the value of one quantity, the value of other quantity also changes but maintaining a constant ratio
Proportionality can be direct or inverse
Direct proportion
Two quantities are said to be in direct proportion if on increasing the value of one quantity, the value of other quantity also increases and vice versa.
For example cost of a commodity and quantity of a commodity are in direct proportion
Inverse proportion
Two quantities are said to be in inverse proportion if on increasing the value of one quantity, the value of other quantity decreases and vice versa.
For example Number of men and number of days taken by those men to complete a job.
Length of paver in the model = [tex]\frac{2}{3}[/tex] ft
Actual length of paver = [tex]\frac{1}{2}[/tex] ft
Let the constant of proportionality be k
[tex]\frac{2}{3} = \frac{1}{2}k[/tex]
k = [tex]\frac{2}{3} \div \frac{1}{2}[/tex]
k = [tex]\frac{4}{3}[/tex]
Let y be the length of paver in the model and x is the actual length
[tex]y = \frac{4}{3}x[/tex] is the required equation which relates the length of paver in the model and the actual length of the paver
b) Area of the model = [tex]\frac{1}{2}\times \frac{3}{8} = \frac{3}{16}[/tex] sq. feet
Actual area = [tex]\frac{2}{3} \times \frac{1}{2} = \frac{1}{3}[/tex] sq.feet
Let the constant of proportionality be l
[tex]\frac{3}{16} = \frac{1}{3}l[/tex]
l = [tex]\frac{3 \times 3}{16}\\[/tex]
l = [tex]\frac{9}{16}[/tex]
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The graph of a function g is shown below.
Use the graph of the function to find its average rate of change from x= - 1 to x = 2.
Simplify your answer as much as possible.
Answer:
Average Rate of Change
Functions are relationships that exist between two variables. Graphing them allows us to observe and predict their behavior. The graph of a function is a line or curve where we can determine random values directly and identify a set of results through it.
The rate of change is one of the calculations we can determine from a graph. It is the change of the function per unit. It is deriving from the slope of the line formed in the interval. The formula for determining the rate of change is:
r
c
=
y
2
−
y
1
x
2
−
x
1
P
1
=
(
−
1
,
0
)
P
2
=
(
3
,
12
)
We use the average exchange rate formula:
r
c
=
y
2
−
y
1
x
2
−
x
1
We substitute the values, obtaining:
r
c
=
12
−
0
3
−
(
−
1
)
Solving, we obtain:
r
c
=
12
4
=
3
The average rate of change of
g
when
x
varies from
−
1
to
3
is:
R
c
=
3