The value of the logarithmic expression is (b) 0
How to evaluate the logarithmic expressionFrom the question, we have the following parameters that can be used in our computation:
log₉(1ˣ)
The logarithmic rule log(1^b) = 0 can be used to evaluate log(1^x) base 9:
log₉(1ˣ)
This is true because
Since 1^x = 1, no matter what the value of x is,
Then log(1^x) base 9 = x = 0.
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HELP ASAP 40 POINTS!!!
Find the slope of the line
A.3
B.-2
C.-3
D.-4
Answer:
-2
Step-by-step explanation:
The slope of a line can be found using the formula m = [tex]\frac{y_2 -y_1}{x_2 - x_1}[/tex], where m is the slope and [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points on the line.
From the graph we can see that (-2,1) and (0,-3) are two points on the line, so let's sub these values into our formula to find the slope:
m = [tex]\frac{y_2 -y_1}{x_2 - x_1}[/tex]
m = [tex]\frac{1-(-3)}{-2-0}[/tex]=[tex]\frac{4}{-2}[/tex]=-2
Ainsley works for the owners of a bookstore. Her starting salary is $24,500, and she gets a 3% raise each year.
a. Write an equation in function notation to represent Ainsley's salary as a function of the number of years she has been working at the bookstore.
b. What will Ainsley's salary be when she begins her fourth year working at the bookstore? Show your work.
Thanks for helping me : )
Answer:
y = $24,500 * (1 + 0.03x)
Step-by-step explanation:
Please find the attachment for detail
Last year Melissa was paid £2200 per month.Last year Natalie was paid £3200 per month. Melissaʼs salary is increased by 35. Natalieʼs salary is increased by 18. Who is paid more each month this year? You must show your workings.
Natalie is paid more each month this year with £3776.
What is salary ?
Salary is a fixed amount of money paid to an employee by an employer in return for work performed. It is usually paid on a regular basis such as weekly, bi-weekly, or monthly. Salaries are typically based on the employee's job title, level of responsibility and the company's budget and compensation policies.
solution
Melissa's salary this year is £2200 + £2200 * 35/100 = £2970.
Natalie's salary this year is £3200 + £3200 * 18/100 = £3776.
Therefore, Natalie is paid more each month this year with £3776.
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Distinguish between nonsampling error and sampling error Choose the correct answer below A. Nonsampling error is the error that results from the process of obtaining the data Samping error is the most results from undercoverage, norvesponse bias, response bas, ordutsentry errors B. Nosamping is the error Threats from undercoverage forresponense bias or data entry errors Samping is the error that results because a sample is being used to estimate information about a population C. Nonsapling error is the error has because a sample is being used to estimate information about a population Sampling error is the mor that results from undercoverage onresponse is responses or data entry errors D. Nonaning error is the error that results from random sampling error is the error has from using a sample to estimate Information about a population
C. Nonsampling error is the error that results from factors outside of the sampling process, such as undercoverage, nonresponse bias, response bias, or data entry errors. Sampling error is the error that results because a sample is being used to estimate information about a population.
Nonsampling error describes problems in data collecting and processing that take place unrelated to the sampling procedure itself. It is brought on by things like inaccurate data collection or measurement, interviewer bias, response bias, undercoverage, or data entry mistakes. Whether a sample or a whole census is employed, nonsampling mistakes can still happen.
On the other hand, sampling error is the error that happens when a sample is used to estimate the characteristics of a population. There will always be some degree of uncertainty when drawing conclusions about the population from sample data because the sample is only a part of the whole population. Sampling error develops as a result of the random variation present during the selection of a sample.
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Describe fully the single transformation that maps triangle A onto triangle B.
It is probably a 90 degree turn then a reflection from the x-axis to the right since you do all corners of Triangle A and do a 90 degree turn, it turns to Triangle B.
Mark me Brainliest. :D
Answer:
reflection
Step-by-step explanation:
A reflects in line y=x
Which of the following is a system of linear inequalities in two variables?
Answer:
c
Step-by-step explanation:
took that couple days ago
Kari earned 4% simple interest on $1,200. 00 she deposited in a savings account last year. She will pay taxes totaling 20% on the interest earned. How much will Kari pay in taxes?
Kari will pay $96 in taxes.
Kari will pay 20% of the $48 interest earned, which is $96.
Kari earned $48 in simple interest on the $1,200 she deposited in a savings account last year. This amount is subject to taxes, which Kari must pay 20% of the interest earned. In this case, Kari will have to pay $96 in taxes on the interest she earned. This means that out of the $48 she earned in interest, she will have to give up $96 to the government in taxes.
Kari must pay $96 in taxes on the $48 in interest she earned on her $1,200 deposit.
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PLEASE HELP ASAP SOLVE WITH EXPLANATION 3
The area of the circle is 113.0 ft²
What is a circle?A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
Given that, a circle with diameter 12 feet, we need to find its area,
Diameter = 2 × radius
Radius = 12/2
= 6 ft
Area of a circle = π × (radius)²
Area = 3.14 × 6²
= 3.14 × 36
= 113.04
Hence, the area of the circle is 113.0 ft²
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vector →=3ˆ 5ˆ and vector →=2ˆ−4ˆ . determine the vector that results from the operation →−→.
The resulting vector from the operation →−→ is →=3ˆ−7ˆ. It is calculated by subtracting the two given vectors component-wise, which gives 3-2=1 for the x-component and 5-(-4)=9 for the y-component.
The operation →−→ is a vector subtraction operation. In this operation, we subtract the two given vectors component-wise. The two given vectors are →=3ˆ 5ˆ and →=2ˆ−4ˆ. To calculate the resulting vector, we need to subtract the two vectors component-wise. The x-component of the resulting vector is calculated by subtracting the x-components of the two given vectors, which gives 3-2=1. Similarly, the y-component of the resulting vector is calculated by subtracting t=he y-components of the two given vectors, which gives 5-(-4)=9. Thus, the resulting vector from the operation →−→ is →=3ˆ−7ˆ.
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Find the specified nth term in the expansion of the binomial. (x - 5)^6, n = 7
The seventh term of the given binomial expansion is; 15625
How to solve Binomial Expansion Theorem?The binomial theorem states the expansion of (a + b)ⁿ as the sum of
n + 1 terms given by the binomial expansion formula that has the binomial coefficient as (n, k) = n!/((n - k)!(k!))
We are looking at the expression;
(x - 5)⁶
The objective is to evaluate the 7th term of the expansion.
Using the formula;
t_r + 1 = (n, r) * a^(n - r) * b^(r)
we can calculate the 7th term for n = 6, r = 6, a = x , b = −5.
t₇ = (6, 6) * x⁶⁻⁶ * (-5)⁶
t₇ = 15625
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Using the formula f (n) = 35 - 5n, starting with n = 1. Find the 5th term in the sequence.
For the given the formula f (n) = 35 - 5n, the 5th term of the sequence is f(5) = 10.
A sequences is an ordered sets of integers (usually called ad "terms"), such as 1, 5, 9. Some sequences follow a specific pattern that can be exploited to indefinitely expand them. For example, 4, 9, 14 follows the pattern "add 5," and we can now proceed with the sequence. Formulas that tell us how to discover any term in a series can be found in sequences.
The formula of the sequence in this case is:
f(n) = 35 - 5n.
Then
n = 1 --> f(1) = 35 - 5(1) = 30
The 5th term means we substitute n = 5 into the formula.
n = 5 --> f(5) = 35 - 5(5) = 35 - 25 = 10
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If Wendell were to slice the doghouse with a plane parallel to the two sides through any section of the doghouse, what shape would the slice be?
The slice would be in the form of a pentagon.
What is meant by parallel lines?Parallel lines in geometry are coplanar infinite straight lines that don't intersect anywhere. When two planes in the same three-dimensional space are parallel, they never cross. Curves that maintain a set minimum distance from one another and do not touch or intersect are said to be parallel curves.
Parallel lines are those in a plane that are regularly spaced apart from one another. There is no crossing of parallel lines.
Wendell would need to make a parallel cut to the bases of the pentagons in order to split the doghouse in two.
Consequently, the section will be pentagonal in shape.
Consequently, the slice is pentagonal.
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Tanisha is a waitress at a restaurant. Each day she works, Tanisha will make a guaranteed wage of $40, however the additional amount that Tanisha earns from tips depends on the number of tables she waits on that day. From past experience, Tanisha noticed that she will get about $14 in tips for each table she waits on. How much would Tanisha expect to earn in a day on which she waits on 10 tables? How much would Tanisha expect to make in a day when waiting on
�
t tables?
The total amount earned by Tanisha will be $180.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Tanisha is a waitress at a restaurant. Each day she works, Tanisha will make a guaranteed wage of $40, however, the additional amount that Tanisha earns from tips depends on the number of tables she waits on that day. From past experience, Tanisha noticed that she will get about $14 in tips for each table she waits on.
The amount of money earned by Tanisha in 10 days will be:-
Amount = Fixed Wage + Tip
Amount = 40 + ( 10 x 14 )
Amount = 40 + 140
Amount = $180
Hence, Tanisha will have earned $180 in total.
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Mark has a certain amount budgeted for dining out each month. Last month, the difference between the amount he budgeted and the amount he actually spent on dining out was less than -20 dollars.
Answer: This means that Mark spent more on dining out last month than what he had budgeted, and the difference was greater than 20 dollars.
Mark had set aside a specific amount of money each month for dining out expenses. However, last month he exceeded that amount and spent more than what he had budgeted. The difference between the amount he planned to spend and what he actually spent was negative and greater than 20 dollars, indicating that he overspent by more than 20 dollars. This implies that the cost of dining out was higher than expected, and Mark spent more money on it than he had originally intended to.
Step-by-step explanation:
how many ways are there to split a dozen people into 3 teams, where each team has 4 people?
By using permutations and combinations, We can arrange 12 people into 3 teams of 4 in 5775 different ways.
Here, we will use the concept of permutations and combinations to solve the question.
We have to arrange 12 people into 3 teams of 4.
We know that ⁿCr = n! / [(n - r)! × r!]
No. of ways to select the first 4 people in the first group = ¹²C₄
= 12! / [(12 - 4)! × 4!]
= 12! / [(8! × 4!)]
= 495
No. of ways to select 4 people from the remaining 8 for the second group = ⁸C₄ = 8! / [(8 - 4)! × 4!] = 8! / [(4! × 4!)] = 70
No. of ways to select 4 people from 4 for the third group = ⁴C₄ = 4! / [(4 - 4)!] × 4!] = 4! / [(0! ×4!)] = 1
Total no. of ways to select people for group = (495 x 70 x 1) / 3! = 34650 /6 = 5775
Hence, we can split 12 people into 3 teams of 4 in 5775 different ways.
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Find the LU-factorization of the matrix. (Your L matrix must be unit diagonal.) [ 1 0 -2 1]
LU =
When the L matrix must be unit diagonal, the LU-factorization of the matrix is:
[tex]\left[\begin{array}{ccc}1&0\\0&1\end{array}\right][/tex]
What is matrix?A matrix is a rectangular array or table of numbers, symbols, or expressions that are organized in rows and columns to represent a mathematical object or an attribute of such an object in mathematics. For instance, consider a matrix with two rows and three columns. A matrix (plural: matrices) is a rectangular array of numbers, equations, or symbols. This layout is made up of horizontal rows and vertical columns in the order of number of rows x number of columns. They are used to generate graphs and statistics, as well as to compute and perform scientific investigations and research on a wide range of topics. Matrices are also used to illustrate real-world data like population and infant mortality rates.
Here,
[tex]\left[\begin{array}{ccc}1&0\\-2&1\end{array}\right][/tex]
R2=2*R1+R2
[tex]\left[\begin{array}{ccc}1&0\\0&1\end{array}\right][/tex]
The LU-factorization of the matrix when L matrix must be unit diagonal is:
[tex]\left[\begin{array}{ccc}1&0\\0&1\end{array}\right][/tex]
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PLSSS HELP IF YOU TURLY KNOW THISSS
Answer:
16
Step-by-step explanation:
x/8 = 2
Multiply 8 to both sides:
[x = 16]
Answer:
x = 16
Step-by-step explanation:
Now we have to,
→ find the required value of x.
The equation is,
→ x/8 = 2
Then the value of x will be,
→ x/8 = 2
→ x = 2 × 8
→ x = 16
Hence, the value of x is 16.
Each day at lunchtime, at leat 53 people buy food from a food truck. Uing the variable p
, an inequality that repreent that ituation i
An inequality that repreent is inequality is p≥ 53
Given that, at least 53 people buy food from the food truck. It means minimum 53 people buy the food, and number greater than 53 is quite possible; however, the possibility of people buying food less than 53 is not possible.
Since the number of people is alway 53 or greater than 53 therefore we may represent this condition using the greater and equal sign.
Lets use the variable p for people who buy the food.
Now the inequality can be written as
p≥ 53
About ProbabilityProbability is the part of mathematics that discusses the size of the likelihood of something happening in life. Indeed, there are many events that cannot be ascertained to occur or not occur at a later time. but by knowing the measure of the success or failure of the expected event to occur, people can make better and wiser decisions about what should be done. Probability theory provides methods related to uncertainty and is an integral part of the decision-making process.
The concepts of probability are the basis of samples and the inferences about the population that can be made from a sample. After understanding the concept of probability which is the basis of statistics, we will then be given the theory of random variables and their properties, formation of probability distributions, socialization of various discrete and constant random variable probability distributions, and statistical sampling distributions.
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HELP pls will mark you the brainliest
The equation for the total cost, y, in terms of the number of kites purchased, x, is y = 4x + 8.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that, there is a charge of $4 per kite plus a flat rate of $8 to ship these items to Alaska.
Let x be the number of kites purchased.
Cost for the kites purchased = 4x
Total cost including the shipping charge = 4x + 8
When x = 0, y = $8
When x = 1, y = 4 + 8 = 12
When x = 4, y = 16 + 8 = 24
When x = 7, y = 28 + 8 = 36
When x = 10, y = 40 + 8 = 48
Hence the equation of the total cost is y = 4x + 8.
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Solve the following equations
2. 9 ^ (x + 10) + 3 = 92
Answer:
Step-by-step explanation:
=92
Answer: About 9.68
2.9 ^ (x + 10) + 3 - 3 = 92 - 3
2.9 ^ (x + 10) = 89
Next, we'll take the logarithm base 2.9 of both sides:
log2.9 (2.9 ^ (x + 10)) = log2.9 89
x + 10 = log2.9 89
Finally, we'll solve for x:
x = log2.9 89 - 10
x ≈ 9.68.
rank the alkenes below in order of decreasing stability. b,c,a a,b,c c,b,a c,a,b b,a,c a,c,b
The tertiary alkene (c) is the most stable, followed by the secondary alkene (a), and finally the primary alkene (b).
The stability of alkenes depends on the number of alkyl substituents attached to the double bond, as well as their positions. Alkenes with the most stable arrangement have the greatest number of alkyl substituents attached to the double bond and are known as tertiary alkenes. Secondary alkenes have two alkyl substituents attached to the double bond and primary alkenes have only one alkyl substituent attached to the double bond.
Based on this information, the order of decreasing stability of alkenes is:
c,a,b
Thus, This means that the tertiary alkene (c) is the most stable, followed by the secondary alkene (a), and finally the primary alkene (b).
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a.histogram.
b.bar chart.
c.stem and leaf display.
d.pie chart.
The formula for calculating a histogram is (Number of Data Points in Bin) / (Total Number of Data Points).
A histogram is a graphical representation of data which displays how often certain values occur within a set of data. It is a type of bar graph that displays the number of values within each bin or interval. The bins are usually of equal size, and the height of each bar indicates the frequency of the values within the bin. Histograms are used to display the distribution of data, allowing a quick visual representation of the data.= (Number of Data Points in Bin) / (Total Number of Data Points)
suppose we have a set of data with the following values: 4, 5, 6, 7, 8, 9, 10, 11, 12. To construct a histogram, we would first divide the data into bins of equal size. In this case, we could use bins of size 2, so the bins would be 4-5, 6-7, 8-9, and 10-11. We would then count the number of data points in each bin, resulting in the following: 4-5: 2 data points; 6-7: 2 data points; 8-9: 2 data points; 10-11: 2 data points. To calculate the histogram we would take the number of data points in each bin, and divide it by the total number of data points (8). This would give us the following histogram: 4-5: 2/8; 6-7: 2/8; 8-9: 2/8; 10-11: 2/8.
In summary, a histogram is a graphical representation of data which displays how often certain values occur within a set of data. It is constructed by dividing the data into bins of equal size, and the height of each bar indicates the frequency of the values within the bin. The formula for calculating a histogram is (Number of Data Points in Bin) / (Total Number of Data Points).
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Complete question:
What is a histogram and how is it calculated?
Vanessa wanted her box of candy to last two days if the box weighs 1/8 of a pound how much should you eat each day
(PLEASE HELP ME ITS REALLY IMPORTANT ITS MY LAST DAY AT MY SCHOOL AND IM TAKING THE FINAL TEST TOMORROW ILL GIVE EXTRA POINTS TO WHO ANWERS QUICKLY AND WHO EVER ELSE ANWERS)
To find out how much candy Vanessa should eat each day, we first need to find the total amount of candy in the box. If the box weighs 1/8 of a pound, we can convert this weight to ounces to get a clearer idea of the quantity of candy. There are 16 ounces in a pound, so 1/8 of a pound is equal to 1/8 * 16 = 2 ounces.
Now that we know the total amount of candy, we can divide this by the number of days that Vanessa wants the candy to last to find out how much she should eat each day. If the candy is meant to last 2 days, she should eat 2 ounces / 2 days = 1 ounce of candy per day.
What is the simplified form of this expression? 16yx÷4+6yx(−2)
Answer:
The correct answer is -8yx.
Step-by-step explanation:
To simplify the expression 16yx÷4 + 6yx(-2), we can use the following steps:
Start by computing the expression within the parentheses:
6yx(-2) = -12yx.
Next, divide 16yx by 4 to get 4yx.
Finally, add the two simplified expressions from steps 1 and 2:
4yx + (-12yx) = -8yx.
Hence, the simplified form of the expression 16yx÷4 + 6yx(-2) is -8yx.
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Have a nice day
NEED THIS ASAP I AM TIMED PLEASE HELP WILL MARK BRAINLIST 10 PTS!!!
Which of the following is the graph of f(x) = –0.5|x + 3| –2?
The graph of the function f(x) = –0.5|x + 3| – 2 is best described by: D. graph D.
What is a translation?In Mathematics, the translation a geometric figure or graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.
In Mathematics, a horizontal translation to the left is modeled by this mathematical expression g(x) = f(x + N) while a vertical translation to the negative y-direction (downward) is modeled by this mathematical expression g(x) = f(x) - N.
Where:
N represents an integer.g(x) and f(x) represent a function.In this scenario, the function f(x) = –0.5|x + 3| – 2 is translated 3 units to the left and downward by 2 units.
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Which of the following sets of measures for sides doesn't form a triangle?
8, 8, 8
14, 18, 18
7, 9, 17
3, 3, 5
The solution is Option C.
The measure of sides of 7 , 9 , 17 does not form a triangle
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ABC
Now , the measure of sides of the triangle are a , b , c
The value of a = 7
The value of b = 9
The value of c = 17
Now , The sum of the two smallest numbers has to equal a number greater that the largest one
So , 7 + 9 = 16
And , 16 is not greater than 17
Hence , the triangle cannot be formed with sides 7 , 9 , 17
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PLEASE HELP ASAP?!!
Two students used synthetic division to divide x^3 - 2x - 8 by x - 2. Determine which solution is correct. Find the error in the solution.
Answer:
-4
Step-by-step explanation:
Explantion down belowwwww \/
Lines mm and nn are parallel. The equation of line mm is y=3x+3y=3x+3. What is the equation of line nn?.
Answer:
y = 3x + c
Step-by-step explanation:
c - any number which is not 3
Solve for the given variable
4(x + 10) =
Answer: 4x+40
Step-by-step explanation:
4(x+10) = 4x+40
Use the distributive property and multiply everything inside the parenthesis by 4.
pls this is urgent hurry
Answer:
x = 22.5
<ADE = 67.5
Step-by-step explanation:
Triangle = 180 degrees
180 - 1 right angle (90 degrees) = 90 degrees
90 = 4x
x = 22.5
<ADE is corresponding to <ABC, therefore <ADE is also equal to 3x. Since we know x = 22.5 already:
3 x 22.5 = 67.5
so <ADE = 67.5