Part 1: Create a relation of five ordered pairs that is a function. In complete sentences explain why this relation is a function.
Part 2: Create a relation of five ordered pairs that is not a function. In complete sentences explain why this relation is not a function.
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What is the solution to log4 8x=3?
Answer: The required solution is x = 8.
Step-by-step explanation: We are given to solve the following logarithmic equation:
[tex]\log_4{8x}=3.[/tex]
We will be using the following logarithmic property in the solution:
[tex]\log_ab=c~~~~~\Rightarrow b=a^c.[/tex]
The solution is as follows:
[tex]\log_4{8x}=3\\\\\Rightarrow 8x=4^3\\\\\Rightarrow 8x=64\\\\\Rightarrow x=\dfrac{64}{8}\\\\\Rightarrow x=8.[/tex]
Thus, the required solution is x = 8.
The blueprints for a me house are scaled so that 1/4 inch equals 1 foot, what is the scale factor in terms of inches to inches?
As Jupiter revolves around the sun, it travels at a speed of approximately 8 miles per second. Convert this speed to miles per minute. At this speed, how many miles will Jupiter travel in 4 minutes? Do not round your answers.
Jupiter travels at 480 miles per minute and in 4 minutes, it will travel 1920 miles.
What is speed?Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.
First to convert it you need to multiply 8 miles per second by 60 seconds because there are 60 seconds in a minute:
8 miles x 60 s
1 second 1 min
The unit of seconds will cancel out so you will get 480 miles/ min
To get how far it travels in 4 min you need to multiply the speed by 4 minutes
480 miles x 4 min
1 min
The unit of minutes will cancel out to get 1920 miles
Therefore, Jupiter travels at 480 miles per minute and in 4 minutes, it will travel 1920 miles.
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Select the equation of the line that passes through the point (3, 5) and is perpendicular to the line x = 4.
y = 5
x = 5
y = 4
x = 3
What is the answer for 62 divided 5,821?
The simplified expression of 62/5821 is 62/5821
How to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
62 divided 5,821
This means that we divide 62 by 5821
So, we have the following representation
62/5821
In the above, we have
The numerator 62 is less than the denominator 5821
This means that the expression is already simplified
Hence, the simplified expression is 4/11
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A number decreased by 5 is less than 32
Gilbert is graduating from college in twelve months, but he will need a loan in the amount of $5,125 for his last two semesters. He may either receive an unsubsidized Stafford Loan with an interest rate of 6.8%, compounded monthly, or his parents may get a PLUS Loan with an interest rate of 7.8%, compounded monthly. The Stafford Loan has a grace period of six months from the time of graduation. Which loan will have a higher balance at the time of repayment and by how much? (3 points)
The Stafford Loan has a higher balance by $134.35. The Stafford Loan has a higher balance by $274.36. The PLUS Loan has a higher balance by $54.79. The PLUS Loan has a higher balance by $85.22.
To determine which loan will have a higher balance at the time of repayment, we need to calculate the future value of both loans. The Stafford Loan will have a higher balance by approximately $234.36.
Explanation:To determine which loan will have a higher balance at the time of repayment, we need to calculate the future value of both loans. Let's start with the Stafford Loan:
Principal: $5,125
Interest Rate: 6.8%
Compounding Period: Monthly
Time: 12 months
Using the formula for future value of an ordinary annuity, we can calculate the balance of the Stafford Loan at the time of repayment:
FV = P * ((1 + r)^n - 1) / r
FV = 5125 * ((1 + 0.068/12)^(12*1) - 1) / (0.068/12)
Calculating this gives us an approximate loan balance of $5,259.35.
Now let's calculate the future value of the PLUS Loan:
Principal: $5,125
Interest Rate: 7.8%
Compounding Period: Monthly
Time: 12 months
Using the same formula, we can calculate the balance of the PLUS Loan at the time of repayment:
FV = P * ((1 + r)^n - 1) / r
FV = 5125 * ((1 + 0.078/12)^(12*1) - 1) / (0.078/12)
Calculating this gives us an approximate loan balance of $5,024.99.
Therefore, the Stafford Loan will have a higher balance at the time of repayment by approximately $234.36. The correct answer is: The Stafford Loan has a higher balance by $234.36.
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solve for d when 2x-2yd=y+xd ...?
some investments in the stock market have earned 10% annually. At this rate, earning can be found using the formula A=p(1.10)n, where A is the total value of the investment, P is the initial value of the investment, and n is the number of years the money is invested. If $1,5oo is invested in the stock market at this annual rate of return, what is the expected total value after 18 years?
A.) $29,700.00 B.) $28,050.00 C.) $8,339.88 D.) $7,581.71 I need some help on this one, I cant figure it out. I would say what I think it is, but I don't even have a good guess.
What is 5.105 rounded to tge nearest hundredth?
Which number is a perfect cube? A.25 B.36 C.125 D.300
What does a boy who likes to play with switches do
In a world filled with gadgets and gizmos, there exists a young enthusiast whose passion lies in the simple yet fascinating realm of switches.
This boy, with a twinkle in his eye, finds immense joy in the art of toggling buttons and flipping switches. His playtime is a symphony of clicks, a dance of circuits coming to life. Each switch, a gateway to a new adventure, ignites his imagination and curiosity.
Whether it's the satisfying snap of a light switch or the soft hum of an electronic button, he revels in the tactile magic of control. Through this seemingly mundane act, he discovers the power to illuminate, connect, and create, turning his play into a journey of endless possibilities.
Rhett is solving the quadratic equation 0= x2 – 2x – 3 using the quadratic formula. Show the correct substitution of the values a, b, and c into the quadratic formula?
Answer:
A. Is The Answer
Step-by-step explanation:
Did On Edge 2022
short term goals are designed to be met in
A. less than 1 year
B. less than 6 months
C. between 6 and 9 months
D. between 1 and 5 Years
Answer:
A. less than 1 year is the answer.
Step-by-step explanation:
Short term goals are designed to be met in : A. less than 1 year
According to accounting concepts, a short term goal is less than one year and goals more than one year are considered long term goals.
Short term goals are like short term investments, that can be accomplished soon. Few other examples are - cutting costs, learning new skills, changing or having a good attitude etc.
Answer:
Correct answer would be: B less than 6 months
Step-by-step explanation:
Took test on edg 2020
Based on her past experiences, a homeowner estimates that appliances lose 25% of their resale value each year. If her estimate is accurate, how much will an appliance currently valued at $3,200 be worth in 10 years?
The appliance will be worth approximately $817.66 in 10 years.
Explanation:To calculate the value of the appliance in 10 years, we need to find how much it will be worth after each year based on the depreciation rate of 25%. We can use the formula:
Value after n years = Initial value × (1 - rate)^n
Substituting the given values, we get:
Value after 10 years = $3,200 × (1 - 0.25)^10 = $3,200 × 0.75^10 ≈ $817.66
Therefore, the appliance will be worth approximately $817.66 in 10 years.
Using the exponential decay formula, an appliance initially valued at $3,200 is estimated to be worth about $180.16 after 10 years, assuming it loses 25% of its value each year.
Explanation:To find out how much an appliance currently valued at $3,200 will be worth in 10 years, given that it loses 25% of its resale value each year, we can use the formula for exponential decay:
Future Value = Present Value × (1 - Rate of Decay)Number of Years
Here, the Present Value is $3,200, the Rate of Decay is 25% or 0.25, and the Number of Years is 10. Plugging these into the formula gives us:
Future Value = $3,200 × (1 - 0.25)10
Future Value = $3,200 × (0.75)10
Future Value = $3,200 × 0.0563
Future Value ≈ $180.16
The appliance would be worth approximately $180.16 in 10 years.
The price of a new Apple Ipod has increased by 1/4. If the original price of the Apple was $200, what is the new price today? ...?
That would be the original price of apple * incrased apple
200 * 1.25 = 250
What is 6/24 simplified?
Find two consecutive even integers whose sum is 126
free upvote + friend 4 free just ANSWER THE QUESTION
Erica filled 2/5 of a page of her notebook on Monday. She filled 5/6 of a page on Tuesday.
How many pages did Erica fill in her notebook?
Express your answer in simplest form.
Write the equation of a line in slope-intercept form that is perpendicular to the line y=3/5x-1 and passes through the point (-9, 4).
Find the approximate value of the circumference of a circle with the given radius. Use = 3.14. Round your answer to the nearest hundredth.
5.1 cm
please help on number 13
23!-22! is equal to what and how ?? ...?
Working alone mona can paint a room in 4 hours. lisa can paint the exact same room in 3 hours. how long should it take to paint the room if they work together?
To find out how long it would take Mona and Lisa to paint the room together, we need to calculate their combined work rate. Mona can paint the room in 4 hours, so her work rate is 1/4 of the room per hour. Lisa can paint the room in 3 hours, so her work rate is 1/3 of the room per hour. Their combined work rate is 7/12 of the room per hour. Therefore, it would take them approximately 1 hour and 43 minutes to paint the room together.
Explanation:To find out how long it would take Mona and Lisa to paint the room together, we need to calculate their combined work rate. Mona can paint the room in 4 hours, so her work rate is 1/4 of the room per hour. Lisa can paint the room in 3 hours, so her work rate is 1/3 of the room per hour. To calculate their combined work rate, we add their individual work rates: 1/4 + 1/3 = 3/12 + 4/12 = 7/12 of the room per hour. Since they are working together, we can use their combined work rate to determine how long it would take to paint the entire room. The formula to calculate time is: Time = Work / Rate. In this case, the work is the entire room, which is 1, and the rate is 7/12 of the room per hour. Therefore, the time to paint the room when they work together is: Time = 1 / (7/12) = 12/7 hours, or approximately 1 hour and 43 minutes.
Your new job guarantees you an eight percent raise for each year with the company. if your initial salary is $42,200, write an equation to model your salary after t years.
Answer:S=42200(1.08)^t
Step-by-step explanation:
Quincy found 120 shells during four days at the beach. if quincy found the same number of shells each day, how many shells did he find each day?
what is 2/5 as percentage
Answer:
40
Step-by-step explanation:
divide 2 by 5 and you get 0.40 and then multiplicate by 100 and you get 40
What are the constant terms in the expression?
8m−5n+2+m−14
Answer: [tex]2 , -14[/tex]
Step-by-step explanation:
We know that the constant terms are the specific terms in an algebraic expression that have only numbers or numerical value or without any variable.
For example : The constant term in [tex]4x^2 -5m+16[/tex] is 16.
Let's take one more example , the constant term in [tex]3x-2y-4-7xy[/tex] is -4.
Given expression is : [tex]8m-5n+2+m-14[/tex]
Here, the terms are : [tex]8m,\ -5n,\ 2,\ m,\ -14[/tex]
Terms having variable = [tex]8m,\ -5n,\ m[/tex]
Terms without variable = [tex]2 , -14[/tex]
⇒ Constant terms =[tex]2 , -14[/tex]
Hence, the constant terms in the given expression = [tex]2 , -14[/tex]
Select all of the following that are a direct variation.
Songs are 99 cents each to download.
Tickets for rides at the fair are $1 each.
Arcade games are 50 cents or $1.
To go tubing it is $5 to rent the tube and $7 for each hour.