The question is about what happened to someone who fell into an upholstery machine. Physics principles such as Newton's laws of motion can explain the outcome of the incident.
Explanation:The question is about an incident where someone fell into an upholstery machine. Since it involves a physical event, the subject of this question is Physics, specifically related to forces and motion.
In this case, we can use the principles of Newton's laws of motion to explain what happened to the person who fell into the upholstery machine. The person's motion and the forces acting upon them would determine the outcome of the incident.
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A system of two linear equations is shown.
5x + 2y = –4
5x + 2y = 1
Which statement is true regarding the solution to this system of linear equations?
A.The system has no solution.
B.The system has one unique solution at (5, 2).
C. The system has one unique solution at (–4, 1).
D. The system has an infinite number of solutions.
We need to find which of the given statements are true.
The system of linear equations has no solutions.
First let us find what type of solution does the system have
The equations are
[tex]5x+2y=-4[/tex]
[tex]5x+2y=1[/tex]
So,
[tex]\dfrac{a_1}{a_2}=\dfrac{5}{5}=1[/tex]
[tex]\dfrac{b_1}{b_2}=\dfrac{2}{2}=1[/tex]
[tex]\dfrac{c_1}{c_2}=\dfrac{-4}{1}=-4[/tex]
So,
[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}[/tex]
This means the two lines do not intersect and are parallel.
Hence, the system of linear equations has no solutions.
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Which button should you press on the Calculator before beginning to evaluate
an expression
To begin evaluating an expression on a calculator, press the clear button first. Follow the correct input sequence for the specific operation, such as entering the number before the LOG key for logarithms, and manually apply rules for significant figures.
Explanation:Operating a Calculator for Mathematical Expressions
Before evaluating an expression on a calculator, it is crucial to press the clear button to ensure no previous entries affect your calculation. In cases of complex operations, such as logarithms or working with scientific notation, it is essential to follow proper input sequence.
For example, to compute a logarithm, you typically enter the number and then press the LOG key. Alternatively, some calculators may require pressing the function key first, such as the LOG key, followed by the number.
Understanding your calculator's functions, such as the Shift or second function, is necessary for operations like inputting scientific notation (e.g., '10* function'). For negative numbers, use the +/- key.
For equilibrium problems involving roots, ensure you know how to perform square roots, cube roots, or higher roots. If you encounter difficulties, consider rearranging the keys or consult your instructor for guidance on using technology tools like the TI-83, 83+, 84, and 84+ calculators.
Nola studied for her math test three times yesterday. She studied for 1/4 hours in the morning, 1 3/8 house after school, and 1/2 hours before bed. How long did she study altogether?
Nola studied for a total of 2 hours and 1/8 hours. She studied for 1/4 hours in the morning, 1 3/8 hours after school, and 1/2 hours before bed.
To find out how long Nola studied altogether, we need to add up the time she studied in the morning, after school, and before bed.
Convert the mixed fractions to improper fractions:
1 3/8 hours = 8/8 + 3/8 = 11/8 hours
Step 2: Add up the time she studied:
Total study time = 1/4 hours + 11/8 hours + 1/2 hours
Find a common denominator for the fractions:
The common denominator for 4, 8, and 2 is 8.
Convert all fractions to have the common denominator:
1/4 hours = 2/8 hours
11/8 hours (already in terms of 8)
1/2 hours = 4/8 hours
Add up the fractions:
Total study time = 2/8 hours + 11/8 hours + 4/8 hours
Simplify the sum:
Total study time = (2 + 11 + 4) / 8 hours
Total study time = 17 / 8 hours
Convert the improper fraction back to a mixed fraction:
Total study time = 2 hours and 1/8 hours
So, Nola studied for 2 hours and 1/8 hours altogether.
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Can someone help mesolve this equation?: 5x +2 = 62
Thanks!
Credit card A has an APR of 20.8% and an annual fee of $60, while credit card B has an APR of 24.6% and no annual fee. All else being equal, which of these equations can be used to solve for the principal, P, the amount at which the cards offer the same deal over the course of a year? (Assume all interest is compounded monthly.) A. P•(1 + 0.208/12)12 - $60•12 = P•(1 + 0.246/12)12 B. P•(1 + 0.208/12)12 + $60•12 = P•(1 + 0.246/12)12 C. P•(1 + 0.208/12)12 - $60 = P•(1 + 0.246/12)12 D. P•(1 + 0.208/12)12 + $60 = P•(1 + 0.246/12)12
Answer:
Step-by-step explanation:
The equation P[ 1 + 0.208/12 ]¹² + $60 = P[ 1 + 0.246/12 ]¹² will be used to solve the given problem so option (D) will be correct.
What is compound interest?Compound interest is applicable when there will be a change in principle amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.
For credit card A →
APR = 20.8%
Annual fee = $60
The total amount after 1 year will be = compound interest + annual fee
So,
P[ 1 + 0.208/12 ]¹² + $60
For credit card B →
APR = 24.6%
No annual fee
The total amount after 1 year will be = compound interest
So,
P[ 1 + 0.246/12 ]¹²
Given that all are equal
So,
P[ 1 + 0.208/12 ]¹² + $60 = P[ 1 + 0.246/12 ]¹²
Hence "The equation P[ 1 + 0.208/12 ]¹² + $60 = P[ 1 + 0.246/12 ]¹² will be used to solve the given problem".
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relay race. To start, you must run 20 yards to Checkpoint A. You then must turn and run 12 yards to Checkpoint B. Last, you must turn and run back to the starting line. What is the distance from Checkpoint B to the starting line?
The distance from checkpoint B to the starting line for the given right-angle triangle will be 16 yards.
What is a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
In a triangle, the sum of all three angles is 180°
Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.
As per the given right angle triangle,
Suppose the missing length is x.
By Pythagoras' theorem,
x = √(20² - 12²)
x = √(400 - 144) = √256 = 16
Hence "The distance from checkpoint B to the starting line for the given right-angle triangle will be 16 yards".
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S² = 3V / H
What is the opposite operation of squaring? Using this opposite operation, rewrite the equation from question 1 so s is by itself on one side of the equation.
what are the area and perimeter of square BCDE
how to solve this cause I was gone for 1/2 of my class and missed stuff.
To find y, first find the measure of the third interior angle. We'll call it x.
The triangle angle sum theorem allows us to create an equation to find x. Set the interior angle values equal to 180 and solve.
180 = 28 + 30 + x
Add the constants.
180 = 58 + x
Subtract 58 from both sides.
122 = x
Now, ∠x (which we now know measures 122°) is supplementary to ∠y. Set them equal to 180 and solve for y.
180 = 122 + y
Subtract 122 from both sides.
58 = y
Answer:m∠y = 58°
can someone please help me with this i need all the answers i can get
Area is the number of cubic units needed to fill a space.
True
False
Kevin has 23 dimes and quarters in his piggy bank. If the value of these coins is $4.55, how many dimes and quarters does he have? Set up and solve a system of equations to solve the problem
To solve the coin problem, two equations are set up, one for the total number of coins and another for the total value in dollars. By using the elimination method, we find that Kevin has 8 dimes and 15 quarters in his piggy bank.
Explanation:To solve this problem, we assign variables to represent the number of each coin type: let 'd' be the number of dimes, and 'q' be the number of quarters.
Now, we can set up our two equations. The first equation represents the total number of coins:
d + q = 23.
The second equation derives from the total value of the coins:
0.10d + 0.25q = 4.55.
Multiplying the second equation by 100 to clear the decimals gives us;
10d + 25q = 455.
To solve the system, we can use either substitution or elimination. Here, we will use elimination.
If we multiply the first equation by 10 (giving 10d + 10q = 230), we can subtract it from the modified second equation to eliminate 'd':
(10d + 25q) - (10d + 10q) = 455 - 230, simplifying to 15q = 225.
Dividing both sides by 15 gives us q = 15, which indicates Kevin has 15 quarters.
Substituting 'q = 15' into the first equation gives us d + 15 = 23, which simplifies to d = 8.
Therefore, Kevin has 8 dimes and 15 quarters.
Help I have N0 IDEA how to do this!!!!!
Find y when x =10 if y = 8 when x = 20
which is the graph of the sequence defined by the function f(x+1)=3/5 f(x) when the first term in the sequence in 375?
Answer:
The first graph is of the sequence defined by the given function.
Step-by-step explanation:
Given the graph of sequence defined by the function
[tex]f(x+1)=\frac{3}{5}f(x)[/tex]
when the first term is in the sequence is 375 i.e f(1)=375
[tex]f(1+1)=f(2)=\frac{3}{5}f(1)=\frac{3}{5}\times 375=225\\\\f(2+1)=f(3)=\frac{3}{5}f(2)=\frac{3}{5}\times 225=135\\\\f(3+1)=f(4)=\frac{3}{5}f(3)=\frac{3}{5}\times 135=81[/tex]
Hence, in coordinate points becomes
(1,375), (2,225), (3,135), (4,81)
∴ The first graph is of the sequence defined by the given function.
It takes 10 people 5 days to build 25 machines. How many days will it take 15 people to build 50 machines?
Answer:
on my thing i put 7 1/2 but the answer is 6 2/3
Answer:
6 2/3 just did it
what is the value of x
After receiving his allowance, Spencer spent half of it on a Mother’s Day card. He bought two toy cars for $.49 each to give to his brothers, and a pack of gum for $.35. How much did Spencer receive for his allowance if $.42 is left over? (Please give equation and answer)
what is the answer to 2/3(5x+6)=34
A total of 1,023 hippies and anglefish were in a big tank. The number of guppies were 9/11 the total number of fish in the tank. However, some angers fish were sold out,and the number of hippies beacons 27/31 the total number of fish. How many angelfish were sold ?
The length of a rectangular garden is 8 feet longer than its width. The garden is surrounded by a sidewalk that is 4 feet wide and has an area of 320 square feet. Find the dimensions of the garden.
let l be the length of garden
let w be the width of garden
as per the question
l= w+8
320 = (l+8)*(w+8) - (l*w)
on solving the equations we get,
w =12
l =20
so the dimensions of the garden are 20 feet and 12 feet
Mr.vitorello spends 35% of his salary on rent. he makes $2,500 each month. How much does he spend on rent each year
Mr. Vitorello spends $10,500 on rent annually, which is calculated by multiplying the monthly rent expense ($875, which is 35% of his monthly salary) by 12.
Explanation:Mr. Vitorello spends 35% of his monthly salary on rent, which is $2,500 each month. To calculate how much he spends on rent each year, we first need to determine the monthly rent expense.
Monthly rent expense = 35% of monthly salary
= 0.35 imes $2,500
= $875
Now that we have the monthly rent expense, we can calculate the annual rent expense by multiplying the monthly amount by the number of months in a year.
Annual rent expense = Monthly rent expense imes 12
= $875 imes 12
= $10,500
Therefore, Mr. Vitorello spends $10,500 on rent each year.
Definition of classic probability
Probability is the likelihood, or chance, that a certain event will occur. The easiest way to understand probability is with coin tosses. Probability can also be applied in various fields such as medicine and stock market.
Explanation:Probability is the likelihood, or chance, that a certain event will occur. The easiest way to understand probability is with coin tosses.
When you toss a coin, the chance of a head turning up is 50 percent. This is because a coin has only two sides, so there is an equal chance of a head or tail turning up on any given toss.
Probability can also be applied in various fields. For example, doctors use probability to determine the chance of a vaccination causing the disease the vaccination is supposed to prevent.
Stockbrokers use probability to determine the rate of return on a client's investments. In statistics, we study populations and use a sample to gain information about the larger population. Data are the result of sampling from a population.
The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year. Which function equation represents the population of the city after t years?
Answer:
This was the correct answer, I even provided proof from my own test. Hope this helps!
Step-by-step explanation:
(07.01)Megan is picking out an outfit to wear. The organized list below represents the sample space of all possible outfits. Red shirt – Black pants Redshirt – White pants Red shirt – Blue pants Pink shirt – Black pants Pink shirt – White pants Pink shirt – Blue pants Based on the list, how many different-color pants does Megan have to choose from?
Answer: Three
Step-by-step explanation:
Given: )Megan is picking out an outfit to wear.
The given list of outfits :-
Red shirt – Black pants
Red shirt – White pants
Red shirt – Blue pants
Pink shirt – Black pants
Pink shirt – White pants
Pink shirt – Blue pants
The name of colors of pants :- Black , White , Blue
⇒ The number of different-color pants =3
Therefore, there are three different color pants from which Meghan has to choose .
Dawson likes to read books about dinosaurs. Dawson goes to the library to check out two dinosaur books to read. There are four shelves of dinosaur books at the library. There are five dinosaur books on each shelf. How many books are left on the shelves after Dawson checks out two dinosaur books to read?
Dawson checks out two books from a library where there are four shelves with five dinosaur books each. After checking out the books, there are 18 dinosaur books left on the shelves.
Explanation:The question posed involves Dawson, who likes to read books about dinosaurs, going to the library to check out two dinosaur books to read. Initially, there are four shelves with five dinosaur books on each shelf. To determine how many books are left after Dawson checks out two books, we can start by calculating the total number of books in the library's dinosaur collection.
Since there are four shelves and five books on each shelf, the total number of books is:
4 shelves × 5 books per shelf = 20 booksAfter Dawson checks out two books, the number of books that will be left on the shelves is:
20 books - 2 books = 18 booksTherefore, there will be 18 books remaining on the shelves after Dawson checks out his two dinosaur books.
Solve 8n + 2 – 6n = 9 + 2n – 13, and interpret the results.
no solutions
infinitely many solutions
only one solution, n = 2
two solutions, n = 2 or n = - 4
The equation 8n + 2 - 6n = 9 + 2n - 13 has only one solution, n = -3.
Explanation:To solve the equation 8n + 2 - 6n = 9 + 2n - 13, we need to simplify both sides and combine like terms.
Starting with the left side of the equation, 8n - 6n can be simplified to 2n. And on the right side, 9 - 13 is -4.
So, we have 2n + 2 = -4. We can now subtract 2 from both sides to isolate the variable n. This gives us 2n = -6. To solve for n, divide both sides of the equation by 2: n = -3.
Therefore, the equation 8n + 2 - 6n = 9 + 2n - 13 has only one solution, n = -3.
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The unit rate in kilometers per minute for 18.25km in 1 h 45 minute
to find area of a triangle you can use the Expression B * h / 2 where B is the base of the triangle and H is its height what is the area of a triangle with a base of 6 and a height of 8
The height ( in inches ) of the starting players on a high school basketball team are:72,75,78,72,73 how many starting players are there? What is the mean height? What is the median height? Does one measure describe the data better than the other?
There are 5 starting players whose mean height is and median height is
Both the measure describes better values.
What is mean?A mean is the average of a data set, found by adding all numbers together and then dividing the sum of the numbers by the number of numbers.
Mathematically,
Mean = Sum of the observations/number of observations
Now the given height ( in inches ) of the starting players on a high school basketball team are-
72,75,78,72,73
So, number of the starting players = 5
Hence, There are 5 starting players on a high school basketball team.
Sum of the heights ( in inches ) of the starting players = 72+75+78+72+73
= 370
Therefore, mean is given as-
Mean = Sum of the heights/number of the starting players
⇒ Mean = 370/5
⇒ Mean = 74
So,The mean height is 74.
Now for median,
Putting the heights ( in inches ) of the starting players in order we get
72,72,73,75,78
So, there are 5 heights ( in inches ) of the starting players.
So, the middle number in the order is the median of given heights.
Middle height = 73
So, Median = 73
Therefore, the median of heights is 73.
Since, both the measures describes nearly equal values
Hence, both the measure describes better values.
Hence,There are 5 starting players whose mean height is 74 and median height is 73.
Both the measure describes better values.
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