For the following equation of the line: y = (1/5)x + 1, y = (1/5)x + 5, y = 5x + 1, and y = 5x + 5, the line that is perpendicular to it and has the same y - intercept is: y = -5x + 1, y = -5x + 5, y = (-1/5)x + 1, and y = (-1/5)x + 5, respectively.
If two equations of the line are perpendicular with each other, then their slopes are negative reciprocal of one another.
To generate the equation of the line perpendicular to the given lines, with the same y-intercept,
1. Get the slope of each line and determine its y-intercept
2. Take the negative reciprocal of the slope and use it and the same y-intercept to get the equation.
y = (1/5)x + 1
slope = 1/5
y-intercept = 1
perpendicular line :
slope = -5
y-intercept = 1
equation : y = -5x + 1
y = (1/5)x + 5
slope = 1/5
y-intercept = 5
perpendicular line :
slope = -5
y-intercept = 5
equation : y = -5x + 5
y = 5x + 1
slope = 5
y-intercept = 1
perpendicular line :
slope = -1/5
y-intercept = 1
equation : y = (-1/5)x + 1
y = 5x + 5
slope = 5
y-intercept = 5
perpendicular line :
slope = -1/5
y-intercept = 5
equation : y = (-1/5)x + 5
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Answer:
C y = 5x + 1
Step-by-step explanation:
Took the test on edu
Correlational research results depicting a correlation coefficient of 0. 5 means that the associated variables demonstrate a __________ relationship.
Results of correlational analysis showing a correlation coefficient of 0.5 indicate that the related variables show a moderately positive relationship.
The correct option is B.
Briefing:The strength of the relationship can be quantified by researchers using this coefficient, which is frequently used to determine the relationship between two or more objects.
The coefficient value will range from -1 to +1, where a value of 0.5 indicates that the variables show a moderately positive relationship.
What exactly does it mean to have a moderate correlation?Variables that are thought to be highly correlated have correlation coefficients with magnitudes between 0.7 and 0.9. Variables that are moderately correlated are indicated by correlation coefficients with magnitudes between 0.5 and 0.7.
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I understand that the question you are looking for is:
Correlational research results depicting a correlation coefficient of 0.5 means that the associated variables demonstrate a __________ relationship.
a. weak negative
b. moderately positive
c. weak positive
d. strong positive
Find the percent cost of the total spent on each equipment $36, fees $158, transportation $59
Percent cost of the total spent on
each equipment = 14.23%,fees=62.45% and transportation = 23.32%.
As given in the question,
Money spent on
Each equipment = $36
Fees = $158
Transportation = $59
Total money spent = $( 36 + 158 + 59)
= $253
Percent cost of the total spent on
Each equipment = (36/253) × 100
= 14.23%
Fees = (36/253) × 100
= 62.45%
Transportation =(36/253) × 100
= 23.32%
Therefore, percent cost of the total spent on
each equipment = 14.23%,fees=62.45% and transportation = 23.32%.
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What is the difference quotient of the function, g (x) = startroot x endroot, x greater-than-or-equal-to 0?
The difference quotient of the function g(x) = √x is [√(x+h) -√x]/h
Difference quotient of the function:
Difference quotient of the function means a measure of the average rate of change of the function over an interval.
The difference quotient formula of a function y = f(x) is,
[ f(x + h) - f(x) ] / h
where
f (x + h) is obtained by replacing x by x + h in f(x)
f(x) is the actual function
Given,
Function g(x) = √x where x≥0.
Here we need to find the difference of the quotient of the function.
For that,
First we have to calculate the value of g(x + h),
By simply replacing the value of x as x + h,
So,
g(x + h) = √(x+h)
Now apply the values on the formula in order to solve it,
=> [√(x+h) -√x]/h
We can't simplify it further.
So, the difference quotient of function is,
=> [√(x+h) -√x]/h
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Answer: D
Step-by-step explanation:
took one for the team
Give me the integer value for Y on x+y=8
Answer:
5
Step-by-step explanation:
To find a value for y given a value for x, substitute the x-value into the expression
Answer:
Step-by-step explanation:
x + y = 8
Let x = 2
then:
2 + y = 8
y = 8 - 2
y = 6.
This is one integer value for y.
Solve the system of inequalities by graphing.
3x + 4y ≥ 16
-4x+6y < 30
x= -0.706, y= 4.529
The mathematical expression with unequal sides is known as an inequality in mathematics. Inequality is referred to in mathematics when a relationship results in a non-equal comparison between two expressions or two numbers. In this instance, any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to symbol (), less than or equal to symbol (), or not equal to symbol (), is used in place of the equal sign "=" in the expression. Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics.
3x+4y z 16
-4x+6y< 30
Solving the two equations we get,
x=-0.706, Y= 4.529
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I need help fast please and thank you
Answer:
its the second option
Step-by-step explanation:
u can search for the formula for a right trapezoid and then solve it
what is unit rate for graph
Step-by-step explanation:
To find the unit rate of a graph find two points. and set up this equation
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
Then solve for the Unit rate which can also be referred to as slope, or change in y over x
Hope this helps!
4/3h - 7/10 = -1/9h - 5/4 what us the fraction in the simplest form?
Answer:
Step-by-step explanation:
12/9h - 7/10 = =1/9h - 5/4
13/9h - 7/10 = -5/4
13/9h = 14/20 - 25/20
13/9h = -11/20
h= -99/260
Form a hypothesis to explain why the melting points of different solids vary.
Answer:
Different solids have different melting points depending on the strength of bonding between the particles and the mass of the particles. Essentially, the heavier the particles in the solid, and the stronger the bonding, the higher the melting point.
Step-by-step explanation:
Hope this helps!
if the nth term of a number sequence is n squared-3, find the first 3 terms and the 10th term
The first three terms of the number sequence are 1, 1/8, and 1/27. And the tenth term of this sequence is 1/1000.
We have been given the nth value of a number sequence that is,
aₙ = n⁻³
We can find the terms by replacing n with required values.
Thus the first term , a₁ = (1)⁻³
= 1
Second term, a₂ = (2)⁻³
= 1/8
Third term, a₃ = (3)⁻³
= 1/27
Tenth term, a₁₀ = (10)⁻³
= 1/1000
Hence the first three terms of the number sequence are 1, 1/8, and 1/27. And the tenth term is 1/1000.
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HELP!!!! i need a mathematician!!!
A number and another number which is 3 times 1 less than the first number add to 17. what are the numbers?
The obtained two numbers by substitution method are 5 and 12.
What is substitution method?The algebraic method for solving simultaneous linear equations is the substitution method.
The value of one variable through one equation is substituted in the second equation, as the name implies.To verify an equation system by substitution, enter your x and y values into the initial equations. Your answer is accurate if both simplification expressions are true.Let the first number be 'x'.
Let the second number be 'y'
From the given condition that second number is 3 times 1 less than the first number.
That is;
y = 3(x - 1)
Now the sum of both number are given as 17.
x + y = 17.
Use substitution method, and put the value of y in the total sum.
x + y = 17.
x + 3(x - 1) = 17
Simplify the given equation;
x + 3x - 3 = 17
4x = 17 + 3
4x = 20
x = 5 (first number)
Put the value of x in y to find the value.
y = 3(x - 1)
y = 3(5 - 1)
y = 12 (second number)
Therefore, the values of two numbers are 5 and 12.
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What are the missing numbers in the following pattern ?
1, 9 , 25, 49 , -------- , 121 , 169 , ------- , 289 , ----------.
Answer:
81, 225, 361
Step-by-step explanation:
Any tips for doing complicated order of operation problems. Algebra 2
Cindy and Richard leave their dorm in Charleston
at the same time. Cindy rides her bicycle north at a
speed of 18 miles per hour. Richard rides his bicycle
south at a speed of 14 miles per hour. How long will it
take them to be 96 miles apart?
Answer:
Hello,
Step-by-step explanation:
Let's suppose
t the time of the travel
d1 the distance rided by Cindy in miles
d2 the distance rided by Richard in miles
d1+d2=96
18*t+14*t=96
32*t=96
t=3 (hours)
the MAth question is on the image.
Answer:
a good estimation is 190
Step-by-step explanation:
(2x25)+(3x12)+(7x8)+(9x5)=187
187 rounds to 190
Answer: (a) 0-2 (b) 3.2
Step-by-step explanation:
modal = the number that appears the most
mean = average
(a) modal class interval: 0 - 2
(b) first, find the mean of each class interval (number of letters delivered):
1, 3.5, 6 and 9
1 x 25 = 25
3.5 x 12 = 42
6 x 8 = 48
9 x 5 =45
25 + 42 + 48 + 45 = 160
number of houses:
25 + 12 + 8 + 5 =50
mean:
160 / 50 = 3.2
the ratio of wins to losses to ties for yan's soccer team at was 3:2:1. if the team played 18 games, how many games did they win? Show your work.
Answer:
9
Step-by-step explanation:
Let the ratio's unit be x. We have:
3x:2x:x. We add these up to get 6x. 6x=18, so x=3. 3*3 (since the wins is 3 in the ratio 3:2:1) is 9, so there's your answer! We can double check because 3*2 = 6 losses, and 3*1 = 3 draws, and 9:6:3=3:2:1, and 9+6+3=18!
Please help me with my math
Answer:
nmms grbtbtbtbynybybtby
Answer:(5,-1.5)
Step-by-step explanation: So you add the x of both the points together so 3+7=10 and then divide by 2 cause there are 2 numbers. 10/2=5
Same thing with y -4+1=-3 then -3/2=-1.5
So the answer is (5,-1.5)
meaning of primary school
Answer:
primary school is a primary school
Answer:the meaning of primary school is elementary school basically grades Kinder-5th grade
Step-by-step explanation:
an attorney charges a fixed fee for an initial meeting and an hourly fee for all hours worked after this meeting. the attorney charges $850 for an initial meeting and $250 per hour. which equation represents the relationship between h, the number of hours, and c, the total cost?
The equation which represents the relationship between 'h' the number of hours, and c, the total cost is y = 250x+850.
How to write equation of straight line?A straight line equation is a mathematical equation that describes the relationship between the coordinate points on that straight line. It can be written in several ways and indicates the slope, x-intercept, & y-intercept of a line.
A straight line's general equation is y = mx + c, in which m is the gradient and y = c is the value at which the line intersects the y-axis. The above number c is known as the y-axis intercept. A straight line with gradient m as well as intercept c on the y-axis has the equation y = mx + c.Now, as per the given question;
The attorney charges price for an initial meeting = $850.
And, the charges for each hour is = $250.
Thus, the equation which shows the given situation is-
y = 250x + 850.
In which, 250 is the value of the slope 'm'.
The y- intercept is shown by 850.
Thus, the total cost will be found out by equation y = 250x+850.
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Simplify (2m6)3.
Please I need the answer fast!
Answer:
6m sqared to 6
Step-by-step explanation:
Answer:
Step-by-step explanation:
(2m6)3
- if you mean (2m^6)^3
it is 8m^18.
3.
Sarah wants to buy some fruit.
She wants to buy
and
3 oranges at 30p each
1
kg apples at £1.20 per kg.
2
The only money Sarah has is one 50p coin and six 20p coins.
She pays for the fruit.
Work out how much money Sarah has left.
You must show all your working.
After spending the money on oranges and apple, Sarah is left with 20p.
What is defined as the cost of the product?In mathematics, a product is described as the result of multiplying two or several numbers together.Product cost makes reference to the expenses incurred in the production of a product.As per the given question;
Sarah spend the amount to buy the 3 oranges is 30p each.
Total spending on oranges = 3 x 30p = 90p.
For buying 1/2 kg of apple; Sarah spend the amount of £1.20 per kg.
Cost for half kg of apples = 60p.
Total cost = apple + oranges
Total cost = 60p + 30p = 90p.
Total cost = £1.50
Now, the only money Sarah has is one 50p coin and six 20p coins.
Sarah' money = 50p + (6 x 20)p
Sarah' money = 50p + £1.20
Sarah' money = £1.70
Money left = £1.70 - £1.50
Money left = £0.20 = 20p
Thus, the money left to Sarah is 20p.
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The correct question is -
Sarah wants to buy some fruit. She wants to buy and 3 oranges at 30p each 1/2kg apples at £1.20 per kg.
The only money Sarah has is one 50p coin and six 20p coins.
She pays for the fruit.
Work out how much money Sarah has left.
Which is equivalent to (9 y squared minus 4 x)(9 y squared 4 x), and what type of special product is it?
The solution of the expression ( 9y² - 4x )( 9y ² + 4x) will be 81y⁴ - 16x².
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression ( 9y² - 4x )( 9y ² + 4x) will be solved as below:-
Use the formula:- ( a + b ) ( a - b ) = a² - b²
a = 9y²
b = 4x
( 9y² - 4x )( 9y ² + 4x ) = ( 9y² )² - ( 4x )²
Therefore, solution of the expression ( 9y² - 4x )( 9y ² + 4x) will be 81y⁴ - 16x².
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To pay for a home improvement project that totals $9,000, Genesis is choosing between taking out a simple interest bank loan at 9% for 3 years or paying with a credit card that compounds monthly at an annual rate of 18% for 7 years. Which plan would give Genesis the lowest monthly payment? The monthly credit card payment would be $295, which is lower than the monthly payment on the bank loan. The monthly payment on a bank loan would be $272.50, which is lower than the monthly credit card payment. The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment. The monthly credit card payment would be $374.21, which is lower than the monthly payment on the bank loan.
A plan which would give Genesis the lowest monthly payment is: C. The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment.
How to determine the plan with the lowest monthly payment?In order to determine the plan which would give Genesis the lowest monthly payment, we would calculate the simple interest earned over each of the time period.
Mathematically, the simple interest earned can be calculated by using this formula:
A = P(1 + rt)
Where:
A represents the future value.P represents the principal or original value.r represents the interest rate.t represents the time.Substituting the given parameters into the formula, we have;
A = 9000[1 + (0.09 × 3)]
A = 9000[1 + 0.27]
A = 9000 × 1.27
Future value, A = $11,430.
Next, we would calculate the monthly payment over a period of 36 months as follows:
Monthly payment = Future value/Time
Monthly payment = 11,430/36
Monthly payment = $317.50.
Similarly, we would calculate the compound interest earned on the credit card by using this formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
A = 9000[1 + (0.18/12)]⁽¹² ˣ ⁷⁾
A = 9000[1 + 0.015]⁸⁴
A = 9000 × 1.015⁸⁴
A = 9000 × 3.49258954
Future value, A = $31,433.31.
Next, we would calculate the monthly payment over a period of 84 months as follows:
Monthly payment = Future value/Time
Monthly payment = 31,433.31/84
Monthly payment = $372.21.
In this context, we can reasonably infer and logically deduce that the plan which would give Genesis the lowest monthly payment is the monthly payment on a bank loan.
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Answer:
C
Step-by-step explanation:
got 100% on exam
Help please
15 points
need by the end of today
Answer:
16. G
17. C
Step-by-step explanation:
Consider any subset of the real numbers that consists only
of negative numbers. What can you conclude about whether the set is closed
under multiplication?
Explain.
Answer: Not closed under multiplication
====================================================
Explanation:
Pick any two negative numbers that you want.
I'll go for -3 and -5
They multiply to (-3)*(-5) = 15 which is a positive number. The two negatives cancel out to form a positive.
This is an example to show that multiplication is not closed for this subset of the real numbers. We consider it to be closed if the result of any two negative numbers multiplied would get us some other negative number.
In a sense, this is the complete opposite of closed since the result is never negative.
Here's an example of a set that is closed under multiplication: integers
Picking any two integers and multiplying them together gets us some other integer. Each item is found in the same set, i.e. the result never leaves or goes outside the set.
complete the sentence: On an
annual basis, Sandy's entertainment expenses are percent of Jamie's insurance expenses.
Sandy goes to a club or concert every two weeks and spends an average of $65 each time. Jamie spends
$740 a year on car insurance. what percentange of sandy entertainment expense are to jamie’s ?
Sandy's entertainment expenses are 228.38 percent of Jamie's insurance expenses.
What is the percent?Percentage can be described as the fraction of an amount expressed as a number out of hundred. Percentages are a measure of frequency.
The total amount spent by Sandy on an annual basis = (number of weeks in a year / 2) x amount spent on each visit
(52 /2) x $65
26 x $65 = $1690
Percent of the entertainment as a percentage of the insurance : (1690 / 740) x 100 = 228.38%
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Adeli opened a savings account with an initial deposit of $2000 and will not make any additional deposits or withdrawals the account earns 5% interest compounded annually what is the total amount that adele will have in her account in the end of the 3 years
The total amount that Adele will have in her account at the end of the 3 years is $2,315.25.
Given that, principal=$2000, rate of interest=5% and time period=3 years.
How to calculate the compound interest?The compound interest formula is used to calculate compound interest, sometimes known as "interest on interest". The formula for compound interest is [tex]A = P(1 + \frac{r}{100})^{nt}[/tex], where P= principal balance, r= interest rate, n= number of times interest is compounded per time period and t= number of time periods.
Now, A=2000(1+5/100)³
=2000(1+0.05)³
=2000(1.05)³
=$2,315.25
Therefore, the total amount that Adele will have in her account at the end of the 3 years is $2,315.25.
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A cylindrical can has a radius of 4 centimeters. Write the volume V of the can as a function of the height h.
The volume of cylinder V as a function of the height h is: V = 50.24h
In this question, we have been given the radius of the cylinder which is 4 centimeters.
We need to write the volume V of the can as a function of the height h.
We know that, the formula of volume of the cylinder of radius r and height h is, V = π × r² × h
In this question, r = 4 centimeters
Substitute r = 4 in above formula of volume of cylinder.
⇒ V = π × r² × h
⇒ V = π × 4² × h
⇒ V = 3.14 × 16 × h
⇒ V = 50.24 × h
⇒ V = 50.24h
Therefore, the volume of cylinder V as a function of the height h is:
V = 50.24h
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please help, very important question!!!
Describe in words where the square root of 75 minus 13 would be plotted on a number line.
Between 8 and 9, but closer to 8
Between 8 and 9, but closer to 9
Between −4 and −5, but closer to −4
Between −4 and −5, but closer to −5
The place where the square root of 75 minus 13 would be plotted on a number line will be C. Between −4 and −5, but closer to −4.
How to calculate the value?It should be noted that square root means the number multiplied that will give the original value.
In this case, the square root of 75 is 8.66. Then we will subtract 13 from it. This will be:
= 8.66 - 13
= 4.34
Therefore, the place where the square root of 75 minus 13 would be plotted on a number line will be between −4 and −5, but closer to −4.
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Answer:
The person above was correct about the answer! I took the risk for you guys to make sure it was right, and it was! good luck on your exam!! :D
