To verify the associative property of addition, begin by finding the sum of the polynomials: (3x 4) ((5x2 - 1) (2x 6)) = x2 x
Answers
The solution to the problem using Associative Property is; 5x² + 5x + 9
How to make use of Associative Property?
The associative property of addition states that the sum of three or more numbers remains the same regardless of how the numbers are grouped.
For example, a + (b + c) = (a + b) + c. This means that no matter how the numbers are grouped, the sum of both the expressions remains the same.
We are given the expression;
(3x + 4) + (5x² - 1) + (2x + 6)
Using associative property, we have;
5x² + (3x + 2x) + (4 - 1 + 6)
⇒ 5x² + 5x + 9
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Related Questions
Ben is saving money in his senior trip to Europe. On the first day, he put in $10 and plans to add five more dollars each day, Write an explicit formula that can be used to find the amount of money saved on any given day.
Answers
Answer:
5xn+5
Step-by-step explanation:
if you times 5 by n amount of days you will get how much he would have on that day but you need to add 5 as he added 10 on the first day
hope that helps
(if that doesn't work try 5xn+10)
A vertical number line is given.
A vertical number line starting at negative 2 with tick marks every one half unit up to positive 4. The value 1.25 is labeled.
When scuba diving, a student recorded the value plotted in the image. If 0 represents sea level, which of the following is true about the value?
The student is −1.25 ft above sea level, and the absolute value is 1.25 ft.
The student is −1.25 ft below sea level, and the absolute value is 1.25 ft.
The student is 1.25 ft above sea level, and the absolute value is 1.25 ft.
The student is 1.25 ft below sea level, and the absolute value is 1.25ft.
Answers
The true statement regarding the number line and the absolute value is given as follows:
The student is 1.25 ft above sea level, and the absolute value is 1.25 ft.
How to interpret the number line and the absolute value?The number line gives the heights relative to the sea level, and thus their signal are interpreted as follows:
Positive numbers: heights that are above sea level.Negative numbers: heights that are below sea level.The absolute value of a number represents the distance that the number is from the origin. In the context of this problem, it will give the distance of the measure from the sea level of 0 ft.
The height is given as follows:
1.25 ft.
Which is a positive measure, hence the correct option is given by the third option.
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relative frequency distributions are generally more useful than frequency distributions when
Answers
Relative frequency distributions are generally more useful than frequency distributions when comparing data sets of different sizes.
Frequency distributions can show the actual number of observations falling in each range or the percentage of observations. In the latter sample, the distribution is called a relative frequency distribution.
Frequency distribution tables can be utilised for both categorical and numeric variables. Continuous variables should only be used with class intervals, which will be described shortly.
A relative frequency distribution displays the proportion of the total number of observations associated with each value or class of values and is related to a probability distribution, which is extensively used in statistics.
--This question is incomplete; the complete question is
"Relative frequency distributions are generally more useful than frequency distributions when _____."--
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Help me with this, it’s due in a bit!
Answers
Answer:
64 square centimeters
Step-by-step explanation:
The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.
Finding the triangular face:
Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)
12 * 4 (4 sides) = 48 square cm
Finding the Base = \(w * l = 4 * 4 = 16\)
Finally, we add it together. 48 + 16 = 64
There is a rope running from the
top of a flagpole to a hook in the
ground. The flagpole is 6 meters
high, and the hook is 8 meters
from its base. How long is the
rope?
Can someone help me pls!
Answers
Answer:
The length of the rope = 8.94 meters
Step-by-step explanation:
The flagpole is 8 meters high
The hook is 4 meters from its base and the hook is in the ground
The flagpole and the ground ⊥ to each other
By using Pythagoras theorem:
The length of the rope = √(8² + 4²) = 5√5 = 8.94 meters
HELP PLEASE!!!
If angle X and angle Y are a Linear Pair, what can be stated about the two angles?
A. Angle X and angle Y are both obtuse
B. Angle X and angle Y are complementary
C. Angle X and angle Y are supplementary
Answers
Answer:
C
Step-by-step explanation:
linear pairs equal up to 180°, so the 2 angles must be supplementary, meaning it adds up to 180°.
Help 25 points!
Write the trig ratios for angle P and angle Q. Leave answer as a simplified fraction.
Answers
Answer:
sin P = 3 / 5
cos P = 4 / 5
tan P = 3 / 4
sin Q = 4 / 5
cos Q = 3 / 5
tan Q = 4 / 3
A store has a goal to increase monthly sales by 20%. If they sold 50 sweaters last month, how many sweaters do they need to sell this month to meet their goal?
Answers
Answer:
they need to sell 60 sweaters
10 more than 50
Step-by-step explanation:
20% of 100 is 20
20% of 50 is 10
20 divided by 2 equals 10
The circumference of a circle measures the distance around the circle.
True or False
Answers
Answer:
True
Step-by-step explanation:
Answer: True
Step-by-step explanation:
Define the domain of the followingA) {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8}B) {3, -1, 2, 0, -2}C) {-3, -1, 1, 3, 6}D All real Numbers
Answers
The domain is a set tht contains all possible x-values in a relataion or a function. In this problem, we just need to know what the x-coordinates are to be able to identify the domain.
Let us first list down the coordinates of the given points. We have:
The x-coordinates are: -3, -1, 1, 3, and 6.
So the domain is: {-3, -1, 1, 3, 6}. The answer is option C.
Hello! I need help PLZ!! If anyone knows I would appreciate it! Thank you so much! :)
(4 screenshots included)
Answers
Answer:
its either b or d
Step-by-step explanation:
b or d is the answer
Calculate the holding period return for a $1,000 face
value bond with a $40 annual coupon purchased for $990.00 and sold
one year later for $1,025.00.
Answers
The holding period return is the return that an investor receives by holding a bond for a specific period of time. It is calculated using the following formula:Holding Period Return = (Ending Price – Beginning Price + Income) / Beginning Price For the given scenario, the bond has a $1,000 face value and an annual coupon of $40.
The bond was purchased for $990 and sold one year later for $1,025.Using the formula, we can calculate the holding period return as follows:Holding Period Return = (Ending Price – Beginning Price + Income) / Beginning Price= ($1,025 – $990 + $40) / $990= $75 / $990= 0.075 or 7.5% Therefore, the holding period return for the bond is 7.5%. The holding period return is a financial metric that measures the total return of an investment over the period that it is held. This metric takes into account any income received from the investment, as well as any changes in the price of the investment over the holding period. It is a useful tool for investors who want to evaluate the performance of their investments and compare the returns of different investments over different holding periods.In the given scenario, we are asked to calculate the holding period return for a $1,000 face value bond with a $40 annual coupon purchased for $990 and sold one year later for $1,025. To calculate the holding period return, we need to use the formula:Holding Period Return = (Ending Price – Beginning Price + Income) / Beginning Price Where, Ending Price = the price at which the investment was sold Beginning Price = the price at which the investment was purchased Income = any income received from the investment over the holding periodIn this case, the ending price of the bond is $1,025, the beginning price is $990, and the income is $40. Therefore, we can calculate the holding period return as follows:Holding Period Return = (Ending Price – Beginning Price + Income) / Beginning Price= ($1,025 – $990 + $40) / $990= $75 / $990= 0.075 or 7.5% Therefore, the holding period return for the bond is 7.5%.
In conclusion, the holding period return is a useful financial metric that measures the total return of an investment over the period that it is held. It takes into account any income received from the investment, as well as any changes in the price of the investment over the holding period. In the given scenario, we calculated the holding period return for a $1,000 face value bond with a $40 annual coupon purchased for $990 and sold one year later for $1,025. The holding period return for the bond was found to be 7.5%.
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Jack is a farmer and he wants to know the mean weight of all the potatoes in a sack.
He randomly selects 10 potatoes and weighs them. Their weights, to the nearest ounce are 5, 8, 9, 11, 7, 7, 8, 9, 12, and 7.
What is the best estimate of the mean weight of all the potatoes in the sack?
Answers
Answer:
8.3 is the mean weight of the sack.
Step-by-step explanation:
5+8+9+11+7+7+8+9+12+7=83
83/10=8.3
8.3 is the mean weight of the sack.
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Which point justifies the shaded area by satisfying StartFraction (y + 1) squared Over 6 EndFraction minus StartFraction (x + 2) squared Over 24 EndFraction greater-than-or-equal-to 1?
(12, 6)
(–2, 6)
(8, –6)
(–1, –2)
Please help asap test is timed!
Answers
(–2, 6) are the points that justify the shaded area
We can substitute the values of x and y from each point into the inequality and check if the inequality is satisfied or not.
Let's check each point:
For points (12, 6):
\((y+1)^2/6 -(x+2)^2/24\\ = (6+1)^2/6 - (12+2)^2/24 \\= 49/6 - 196/3 \\= -57.33\)
Here, the value of the expression is less than 1, so this point does not justify the shaded area.
For points (–2, 6):
\((y+1)^2/6 -(x+2)^2/24\\ = (6+1)^2/6 - (-2+2)^2/24 \\= 49/6\)
Here, the value of the expression is greater than or equal to 1, so this point does justify the shaded area.
For points (8, –6):
\((y+1)^2/6 -(x+2)^2/24 \\= (-6+1)^2/6 - (8+2)^2/24 \\= 25/6-100/24\)
Here, the value of the expression is greater than or equal to 1, so this point does not justify the shaded area.
For point (–1, –2):
\((y+1)^2/6 -(x+2)^2/24 \\= (-2+1)^2/6 - (-1+2)^2/24 \\= 1/6 - 1/24 \\= 1/8\)
Here, the value of the expression is less than 1, so this point does not justify the shaded area.
Therefore, the points that justify the shaded area are (–2, 6).
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what is the rectangular cross hatch chart used for eye test called
Answers
a- What are the different logs used to obtain porosity? Explain the principles of measurement, quantity measured and its relation to porosity. Illustrate with equations and/or sketches.
Answers
Different logs measure different physical properties of the formation that are related to porosity, and the relationship between the log measurement and porosity can be expressed through equations.
The different logs used to obtain porosity and their principles of measurement, quantities measured, and relation to porosity.
There are three main types of logs used to obtain porosity: neutron logs, density logs, and sonic logs.
Neutron logs: These logs measure the hydrogen content in a formation, which is directly related to porosity. The tool emits neutrons that interact with hydrogen atoms, and the resulting gamma rays are measured. The count rate decreases with increasing porosity. The neutron log can be expressed as:
Porosity = (neutron log reading - matrix reading) / (fluid reading - matrix reading)
Density logs: Density logs measure the bulk density of a formation, which can be related to porosity. The tool emits gamma rays that interact with the formation, and the scattered gamma rays are measured. The bulk density decreases with increasing porosity. The density log can be expressed as:
Porosity = (matrix density - bulk density) / (matrix density - fluid density)
Sonic logs: Sonic logs measure the travel time of sound waves through a formation, which can be related to porosity. The tool sends an acoustic wave and measures the time it takes to travel a specific distance. The travel time increases with increasing porosity. The sonic log can be expressed using Wyllie's time-average equation:
Porosity = (sonic log reading - matrix reading) / (fluid reading - matrix reading)
In summary, neutron logs measure hydrogen content, density logs measure bulk density, and sonic logs measure travel time of sound waves. These measurements can be used to calculate porosity using the respective equations provided.
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When trying to find solutions to the system of equations x+y=3 2x+2y=6 you take several correct steps that lead to the expression 0=0. Which statement is true?
Answers
Answer:
They are the same equations. (I don't know what you mean by "true.")
Step-by-step explanation:
If you divide 2x + 2y = 6 by 2, it turns into x + y = 3. This means that the graphs of the lines are the same, or there are infinite solutions.
I am really sorry if this is wrong because I am not really sure what you meant by "Which statement is true?"
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
Answers
Answer:
The test has 10 3-point questions and 14 5-point questions.
Step-by-step explanation:
x + y = 24
3x + 5y = 100
From the first equation:
3x + 3y = 72
Subtracting:
3x - 3x + 5y - 3y = 100 -72
2y = 28
so y = 14
x + 14 = 24 so x = 10.
10*3 + 5*14
= 30 + 70 = 100 points.
Find a formula for the inverse of the function f(x)=2+
4+7x
. 1. Find the formula for the inverse function. Answer: f
−1
(x)=
7
x
2
−4x
2. What is the domain of the inverse function f
−1
? Answer (in interval notation):
Answers
The domain of the inverse function \(f^(-1) is [12/7, ∞\)) in interval notation.
To find the inverse function of \(f(x) = 2 + 4x + 7x^2,\) we can follow these steps:
Step 1: Replace f(x) with y:
\(y = 2 + 4x + 7x^2\)
Step 2: Swap x and y: \(f^(-1) is [12/7, ∞\)
\(x = 2 + 4y + 7y^2\)
Step 3: Solve the equation for y:\(7y^2 + 4y + 2 - x = 0\)
\(7y^2 + 4y + 2 - x = 0\\\)Step 4: Use the quadratic formula to solve for y:
\(y = (-4 ± √(4^2 - 4(7)(2 - x))) / (2 * 7) = (-4 ± √(16 - 56(2 - x))) / 14 = (-4 ± √(16 - 112 + 56x)) / 14 = (-4 ± √(56x - 96)) / 14 = (-2 ± √(14x - 24)) / 7\\\)
Therefore, the formula for the inverse function f^(-1)(x) is:
\(f^(-1)(x) = (-2 ± √(14x - 24)) / 7\\\)
The domain of the inverse function f^(-1) is the set of values for which the expression inside the square root (√) is non-negative, since the square root of a negative number is not defined in the real number system.
So, we solve the inequality 14x - 24 ≥ 0:
14x - 24 ≥ 0
14x ≥ 24
x ≥ 24/14
x ≥ 12/7
Therefore, the domain of the inverse function \(f^(-1) is [12/7, ∞)\) in interval notation.
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marcos is planning to travel from phoenix to flagstaff. let t represent the number of hours since marcos left phoenix and let d represent the number of miles marcos has traveled from phoenix.
Answers
In this scenario, Marcos is planning to travel from Phoenix to Flagstaff, and we are using variables to represent different aspects of his journey.
The variable t represents the number of hours since Marcos left Phoenix, which serves as a measure of time elapsed since the start of the journey. It allows us to track the progress of Marcos over time and analyze various time-related aspects such as the duration of the journey or the rate at which he is traveling. On the other hand, the variable d represents the number of miles Marcos has traveled from Phoenix. It serves as a measure of distance covered, indicating how far Marcos has progressed on his route. By monitoring the value of d, we can determine the distance remaining to reach Flagstaff or calculate other distance-related parameters such as average speed or total distance traveled.
By using these variables, we can establish a relationship between time and distance traveled by Marcos. This relationship can be represented by a function or equation that describes Marcos' progress over time, such as a velocity equation or a distance-time equation. These variables and their relationship allow us to analyze and make predictions about Marcos' journey. We can determine when he is expected to reach certain milestones, calculate his average speed or rate of travel, and estimate the time required to complete the journey. Additionally, these variables provide a framework for solving various problems or making decisions related to Marcos' travel, such as optimizing his route or estimating fuel consumption based on distance traveled.
In summary, by using the variables t and d to represent time and distance traveled, respectively, we can effectively describe and analyze Marcos' journey from Phoenix to Flagstaff, enabling us to make informed decisions and predictions about his travel experience.
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help me pleaseee!!!
the correct answer will get brainly!!
This for algebra 1
Answers
B= 4
M is the slope
B is the y-intercept
As a director of operations for a fast-food company, you oversee two of the company's restaurants. One of the stores reports their revenue for the year as 0.15 of the company's revenue, and the other restaurant reports 21% of the company's revenue. What is the total percentage of the company's revenue that your two stores report? 3.6% 6% 21.15% 22.5% 36%
Answers
Answer:
Total = 36%
Step-by-step explanation:
Given
Company A = 0.15
Company B = 21%
Required
Determine the total revenue
Total is calculated as thus:
Total = Company A + Company B
Total = 0.15 + 21%
Represent 0.15 as %
Total = 0.15*100% + 21%
Total = 15% + 21%
Total = 36%
there are default tab stops every one inch on the horizontal ruler. _________________________
Answers
There are default tab stops every one inch on the horizontal ruler is true statement.
In word processing software, there are usually default tab stops set every one inch (or 2.54 cm) on the horizontal ruler. These tab stops are the default positions at which the insertion point will stop when the tab key is pressed.
The purpose of these tab stops is to make it easier to align text in columns or tables. By default, there are left-aligned, centered, right-aligned, decimal-aligned, and bar-aligned tab stops. Users can also add custom tab stops at specific positions on the ruler to suit their formatting needs.
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91) __________ involves the analysis of accumulated data and involves a __________. a) OLAP, database b) OLAP, data warehouse c) OLTP, database d) OLTP, data warehouse
Answers
OLAP is used for the analysis of accumulated data, and it requires a data warehouse.
while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.
In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.
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.
is there a realationship between a students gpa and the bumvber of pencils in his or her backpack? jordynn and angie decided to find out by selecting a random sample of students from their high school
Answers
It is unlikely that carrying more or fewer pencils in one's backpack would have a direct impact on GPA.
How to find relationship ?To determine if there is a relationship between a student's GPA and the number of pencils in their backpack, Jordynn and Angie would need to conduct the following steps:
If a correlation is found, then it suggests that there may be a relationship between the students' GPA and the number of pencils in their backpack. However, in this case, it is unlikely that carrying more or fewer pencils in one's backpack would have a direct impact on GPA.
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Jen is investigating a quadratic function g(x). She writes four different forms of the function, as shown below. Select the form that reveals the maximum value of g(x) without having to be rewritten.
Answers
Answer:
A
Step-by-step explanation:
Since the coefficient of the x² term is negative (we know this because if you look at C, the coefficient of x² is -2, which is negative) we know that the vertex will be the maximum. To find the vertex without having to be rewritten, a quadratic function should be written in vertex form which is y = a(x - c)² + d where (c, d) is the vertex. The answer choice that is written in vertex form is A.
a car is traveling at a constant speed of 65 miles per hour. how many feet does it travel in 5 seconds?
Answers
Answer: 476.7 feet
Step-by-step explanation:
65 miles = 343200 feet
1 hour = 3600 seconds
(343200/3600) = 476.7 feet in 5 seconds
A small bar of gold measures 20 mm by 250 mm by 2 mm. One cubic millimeter of gold weighs about 0.0005 ounces. Find the volume in cubic millimeters and the weight in ounces of this small bar of gold.
Answers
Answer: v = 40mm * 25mm * 2mm = 2000 mm^3 so, the weight is 2000 mm^3 * .0005oz/1mm^3 = 1oz
Step-by-step explanation:
Which of the following could be the number shown on the number line?
Answers
Answer:
√35 is the answers for the question
Step-by-step explanation:
please give me brainlest and follow me
Answer:
sqrt{35}=5.9
It could be the number because underroot 35's value nearest to the 6.
Someone answer this quick
Question number 8.
Answers
Answer:
\(142\)
Step-by-step explanation:
\(2x+8+6x+12=180\\8x+20=180\\8x=180-20\\8x=160\\x=\frac{160}{8}\\x=20\)
\(6x+12=6\cdot20+12=120+12=142\)