a) The ordered pair so that the set still remains the function is (-5, 17)
b) The ordered pair so that the set does not remain the function is (-26, 15).
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
A Relation is said to be a function if the input value or the x- value is unique and have their corresponding output.
But if the input value repeats then it may no longer be a function.
First, Add a ordered pair so that the set still remains the function as
(-5, 17)
and, Add a ordered pair so that the set does not remain the function as
(-26, 15).
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What is the equation of the circle centered at the origin with a radius of 7.5 PLEASE HELP!
Answer: Are you talking about Circumference?
If it is then the Formula is 2πr or the easy way ... πd
1st use of formula: you would multiply 7.5 twice then multiplying by Pi or 3.14
2nd use of formula: You would get the diameter then multiply it by Pi or 3.14
Hope this helps :)
What is 62% of $10.50?
Answer:
$6.51
Step-by-step explanation:
To make a percent a decimal, divide by 100
62% = .62
.62 x 10.50 = 6.51
We know that half of 10.50 is 5.25 and 625 would be a little higher and 6.51 is a little higher.
does the order of the quantities in an inequality matter
Yes, the order of the quantities in an inequality matters, and examples are given to show why.
Why does the order of the symbols matter in an inequality?The four inequality symbols, along with their meaning, are presented as follows:
> x: greater than x.< x: less than x.≥ x: at least x.≤ at most x.It is known that the number 5 is greater than the number 3, hence the inequality that describes these numbers is given as follows:
5 > 3.
However, if we tried to apply the commutative property, that is, changing the order of the numbers, we would have that:
3 > 5.
Which is a false statement, as the number 3 is less than the number 5, and not more.
This shows that the order of the symbols in an inequality in fact does matter.
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Sam recorded the effects of exercise on short-term memory. Which of these is a response variable ?
A. Exercise
B. Neither exercise nor short-term memory
C. Short term memory
D. Both exercise and short-term memory
Short term memory is a response variable as it is dependent. Hence Option C is the answer.
What is response variable?A dependent variable is the response variable. It is reliant on the independent variable, which serves as the explanatory variable.
What is the predicting factor?Explanations for the findings revealed by the response variables are provided by the explanatory or independent variables. Explanatory response is qualitative since it is classified based on a category.
The response variable is what the researcher often measures in research studies. The response variable in the example presented above is short-term memory, which is influenced by exercise.
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How to find the height of an isosceles triangle given 3 sides?
The height of an isosceles triangle can be found by using the Pythagorean Theorem to calculate the length of the hypotenuse, subtracting the lengths of the other two sides, and taking the square root of the difference.
To find the height of an isosceles triangle given three sides, you can use the Pythagorean Theorem. Begin by calculating the length of the hypotenuse (the longest side of the triangle). To do this, square the lengths of the two other sides and add them together. Then, take the square root of that sum. This is the length of the hypotenuse. Next, subtract the lengths of the other two sides from the hypotenuse and take the square root of the difference. The result is the length of the altitude, which is also the height of the triangle.
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(x + 7 ) + 3y help me please
Answer:
x+7+3y
Step-by-step explanation:
You just remove the parentheses in this case since you don't have to change any of the operations.
Answer:
Step-by-step explanation:
x+7+3y simplifed
Rent-A-Car charges $50 to rent a car plus $0.25 per mile. Save-To-Rent charges $25 to rent a car plus $0.41 per
After how many miles will the cost be the same to rent a car?
miles
After 156.25 miles will the cost be the same to rent a car. This can be solved by the concept of cross-multiplication.
What is cross-multiplication?Fractions are multiplied by multiplying the numerator of the first fraction by the denominator of the second fraction, and the numerator of the second fraction by the denominator of the first fraction.
In order to get the second fraction's numerator, multiply the first fraction's denominator by it. Cross multiply is another name for the butterfly technique of multiplication. The cross-multiply technique is used to find one or more variables in a fraction.
Let, assume miles be m.
and, Let the total cost be x.
According to the question,
0.25m + 50 = x ........(i)
0.41m + 25 = x ........ (ii)
By solving equation (ii) by (i) we get -
0.16 m - 25 = 0
or, 0.16m = 25
or, m = 25 /0.16
or, m = 156.25
Thus, number of miles = 156.25 miles.
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HURRY HELP ME PLEASE
Answer:
c maybe
Step-by-step explanation:
Answer:
i cant see it very well but i wanna say its A but im not 100% sure
Step-by-step explanation:
Calculate the correct answer.
17x - 3 = 48
Answer: x = 3
Step-by-step explanation:
Simplifying
17x + -3 = 48
Reorder the terms:
-3 + 17x = 48
Solving
-3 + 17x = 48
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 17x = 48 + 3
Combine like terms: -3 + 3 = 0
0 + 17x = 48 + 3
17x = 48 + 3
Combine like terms: 48 + 3 = 51
17x = 51
Divide each side by '17'.
x = 3
Simplifying
x = 3
Some one please help me solve this
Solve each system by elimination.
1) -3х – бу = -3
5x + 5y = 0
Answer: look at the picture
Step-by-step explanation: Hope this help :D
answer please no links
Answer:
x = 65
Step-by-step explanation:
180 - 115 = x
x = 65
Have a nice day!
If £2000 was put into a bank acount that pays 3% compound intrest per year, how much will be in the account after 2 years
Answer:
After 2 years, there will be £ 2,121.80 in the account.
Step-by-step explanation:
Since £ 2000 was put into a bank account that pays 3% compound intrest per year, to determine how much will be in the account after 2 years the following calculation must be performed:
2000 x (1 + 0.03 / 1) ^ 1x2 = X
2000 x 1.03 ^ 2 = X
2,121.8 = X
Therefore, after 2 years, there will be £ 2,121.80 in the account.
Is 2025 a perfect square Yes or no?
EXPLANATION
2025 is a perfect square number hence we can determine its square root. 45 is the square root of 2025 as 45 multiplied by 45 gives the number 2025. Interestingly, – 45 × – 45 is also 2025. Hence It is represented as √2025 = 土45.
I’d love you he help for all of it but i’ll take what I can get
Answer:
Parallelogram formula- 1/2 x base xheight
Step-by-step explanation:
I do not understand this problem pls help thank you
The value of x in the triangle LMO is 38°
What is an equation?An equation shows how two or more numbers and variables are related to each other.
∠KLO + ∠OLM = 180° (sum of angle in straight line)
134 + ∠OLM = 180°
∠OLM = 46°
∠OML + ∠OMN = 180° (sum of angle in straight line)
∠OML + 84 = 180°
∠OML = 96°
∠OLM + ∠OML + ∠LOM = 180° (angle in a triangle)
46 + 96 + x = 180
x = 38°
The value of x is 38°
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circle c shown below was dilated with the origin as the center of dilation to create circle C' which rule represents the transformation?
Answer:
A. (x, y) → (2/7x, 2/7y)Step-by-step explanation:
Equation of the smaller circle:
x² + y² = 2²Equation of the greater circle:
x² + y² = 7²The scale factor is the ratio of radiuses:
k = r₁ / r₂ = 2/7So the rule is:
(x, y) → (kx, ky) = (2/7x, 2/7y)Correct choice is A
Answer:
[tex]\sf A. \quad (x, y) \rightarrow \left(\dfrac{7}{2}x, \dfrac{7}{2}y \right)[/tex]
Step-by-step explanation:
The distance from the center of the circle to any point on the circumference is the radius.
From inspection of the given graph:
Radius of Circle C (before dilation) = 2 unitsRadius of Circle C' (after dilation) = 7 unitsTo find the scale factor of the dilation from the small circle C to the large circle C', divide the radius of the large circle by the radius of the small circle.
Therefore, the dilation is an enlargement of scale factor ⁷/₂ about the origin.
So the rule that represents the transformation is:
[tex]\sf (x, y) \rightarrow \left(\dfrac{7}{2}x, \dfrac{7}{2}y \right)[/tex]
Check (see attached):
Point (0, 2) is on circle C.
[tex]\implies \sf (0, 2) \rightarrow \left(\dfrac{7}{2}(0), \dfrac{7}{2}(2) \right)=(0,7)[/tex]
Point (1, √3) is on Circle C:
[tex]\implies \sf (1, \sqrt{3}) \rightarrow \left(\dfrac{7}{2}(1), \dfrac{7}{2}(\sqrt{3}) \right)=\left(3.5,6.06)[/tex]
Pressure =
force/area
A force of 70 newtons acts on an area of 20 cm?
berabils HBO
The force is increased by 10 newtons,
The area is increased by 10 cm?
Helen says,
"The pressure decreases by less than 20%"
Is Helen correct?
You must show how you get your answer.
Helen is not correct. The pressure decreases by 23.8% and not less than 20%.
Pressure = force/area
The initial pressure is 70 N / 0.2 m^2 = 350 Pa (Pascals). If the force is increased by 10 N and the area is increased by 10 cm^2, the new pressure is 80 N / 0.3 m^2 = 266.67 Pa
The difference in pressure between the initial and final states is 83.33 Pa (350 Pa - 266.67 Pa)To calculate the percentage change in pressure, we divide the change in pressure by the initial pressure and multiply by 100:
(83.33 Pa / 350 Pa) * 100% = 23.8%So Helen is not correct. The pressure decreases by 23.8% and not less than 20%.
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Find the equation of the line that goes through ( 0, 2 ) and ( 3, 4 ).
Select one:
a.
2x + y - 3 = 0
b.
- 2x + 3y - 6 = 0
c.
x + y - 2 = 0
d.
2x + 3y + 6 = 0
Answer:
Option b. -2x + 3y - 6 = 0
Step-by-step explanation:
Let's look for a linear equation of the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
Calculate the slope first. Slope is the Rise/Run of any two points on a straight line. Using the given points, (0,2) and (3,4) we find:
Rise = 4 - 2 = 2
Run = 3 - 0 = 3
Slope, m, Rise/Run = (2/3)
The equation becomes y = (2/3)x + b
To find b, enter either of the two given points.
y = (2/3)x + b
2 = (2/3)(0) + b : for point (0,2)
b = 2
The equation becomes: y = (2/3)x + 2
Reformat this to match the format of the answer options.
y = (2/3)x + 2
3y = 2x + 6 [Multiplied by 3]
3y - 2x - 6 = 0
-2x + 3y - 6 = 0 [rearrange]
This matches option b.
What is the product of and 3 /- 4?
Using multiplication we know that the product of 3 * - 4 is -12.
What is multiplication?One of the four fundamental arithmetic operations, along with addition, subtraction, and division, is multiplication.
A product is the output of a multiplication operation.
The addition method, lengthy multiplication, grid method, and drawing lines are four different ways to multiply.
So, we have:
3 * -4
Here, we know that 3 is a positive number and -4 is a negative number.
And so the product will be a negative number.
Now, calculate the product as follows:
3 * -4
-12
Therefore, using multiplication we know that the product of 3 * - 4 is -12.
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Need help with this question, will give brainliest
Answer:
1/2
Step-by-step explanation:
So lets go over what slope is.
The formula for slope is y/x
To find this, we can just count the change in y, and put it over x.
So lets see.
On the graph, we can count that y goes up by one, and that x goes to the right by 2.
So this means our slope is y/x, or 1/2.
This is our answer.
I hope this helps! :)
I included a visual of this as well!
Find the derivative of the function. y = arctan √[(1 − x) /(1 + x)]
y' = ?
and
Find the derivative of the function. y = 3tan−1 [x − √(1 + x^2)]
y' = ?
The derivative function for equations 1 and 2 will be
y' = -1/ [2√(1-x²)] and y' = 3/[2(1 + x²)] respectively
Here we need to find the derivative of
[tex]y = tan^{-1}\sqrt{\frac{1-x}{1+x} }[/tex]
Let x = cos2z
Hence we get
[tex]y = tan^{-1}\sqrt{\frac{1-cos2z}{1+cos2z} }[/tex]
[tex]or, y = tan^{-1}\sqrt{\frac{2sin^{2}z}{2cos^{2}z} }[/tex]
[tex]or, y = tan^{-1}(tanz)[/tex]
or, y = z
Hence dy/dx = dz/dx
We know that
x = cos2z
or, 2z = cos⁻¹x
or, 2 dz/dx = -1/√(1-x²)
Hence dy/dx = -1/ [2√(1-x²)]
The second equation is
[tex]y = 3tan^{-1}[x-\sqrt{1+x^{2}} ][/tex]
Let x = cotz
Hence we get
[tex]y = 3tan^{-1}[cotz-\sqrt{1+cot^{2}z} ][/tex]
[tex]y = 3tan^{-1}[cotz-\sqrt{cosec^{2}z} ][/tex]
or, y = 3tan⁻¹ [cotz - cosecz]
or, y = 3tan⁻¹ [cosz/sinx - 1/sinz]
or, y = 3tan⁻¹ [(cosz - 1)/sinz]
or, y = 3tan⁻¹ [-2sin²(z/2)/{2sin(z/2) cos(z/2)}]
or, y = 3tan⁻¹ [-sin(z/2)/cos(z/2)]
or, y = 3tan⁻¹ [-tan{z/2)]
or, y = 3tan⁻¹ [tan{-z/2)]
or, y = -3z/2
or, dy/dz = -3/2 dz/dx
We have
x = cotz
or, z = cot⁻¹z
or, dz/dx = -1/(1 + x²)
Hence we get
dy/dx = 3/[2(1 + x²)]
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Phyllis invested $10,500, a portion earning a simple interest rate of
3 1/2% per year and the rest earning a rate of 3% per year. After one year the total interest earned on these investments was $352. 50. How much money did she invest at each rate?
Please answer ASAP
The money invested by Phyllis with simple interest rate 3 1/2% and 3% per year is given by $7500 , and $3,000 respectively.
As given in the question,
Total amount with Phyllis is equal to $10,500
Let 'x' be the portion of Phyllis earning invested with 3 1/2% per year simple interest rate
Then $( 10,500 - x ) invested by Phyllis with simple interest rate 3% per year
Total interest earned by the investment = $352.50
0.035x + 0.03( 10,500 - x ) = $352.50
⇒0.035x + 315 - 0.03x = 352.50
⇒0.005x = 352.50 - 315
⇒0.005x = 37.5
⇒x = $7500
and $( 10,500 - x ) = $( 10,500 - 7500 )
= $ 3,000
Therefore, the amount of invested with simple interest rate 3 1/2% per year and 3% is equal to $7500 and $3,000 respectively.
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The average age of a group of fans at a hockey game is 34 years with a standard deviation of 8 years. What percent of fans are between 18 and 27 years old?
The percent of fans that are between 18 and 27 years old is 16.80%.
How to calculate the percentage of fans?From the information, the average age of a group of fans at a hockey game is 34 years with a standard deviation of 8 years and we want to calculate the percent of fans are between 18 and 27 years old.
It should be noted that this will be Illustrated through the normal curve.
The probability will be:
P(18 ≤ X ≤ 27)
= P(18 - 34/8) ≤ Z ≤ (27 - 34 / 8
= P(-2.0 ≤ Z ≤ -0.875)
= 0.1908 - 0.02275 (From the standard normal calculator)
= 16.80%
The percentage is 16.80%.
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Need help with work g
Answer:
21 meters
Step-by-step explanation:
First find the circumference of the tire:
c = πd
c = 3.14(670)
c = 2103.8
Multiply by 10 to find the distance the bike has travelled:
2103.8*10 = 21,038
Convert millimeters to meters:
21,038 millimeters ≈ 21 meters
Answer:
NEEEEEEGAARRRRR
Step-by-step explanation:
what will be the rationalising factor of this thing
Answer:
dude... I have fallen in love with your profile picture
please help!! i would really appreciate it
m = ?
Answer:
4
Step-by-step explanation:
Hypotenuse, on a 30 60 90 triangle, is equal to 2a. A being the shortest side.
That means 2(2) = 4
A lawyer charges $500 to be put on retainer for a client. The lawyer also charges an hourly rate of $75 for work done. a.Identify the fixed cost (the constant).b. Identify the independent variable (x). c. Identify the dependent variable (y). d.Write an equation that describes the situation above.
The answer will start with 500 USD. For every hour, 75 USD is charged. We can multiply 'x' to 75 USD which will represent the amount of hours. The equation will now become, 'y = 75x + 500'. In most cases, like this one, y will represent the total cost. Here are the answers.
a. 75USD
b. x (amount of hours)
c. y (total cost)
d. y = 75x + 500
Hope I understood what you were asking and if not I'm really sorry <3
0.2(x+50)-6=0.4(3x+20)
Answer:
2
Step-by-step explanation:
0.2(x+50)-6=0.4(3x+20) multiply both sides by 10 to clear the decimals
2(x + 50) = 4(3x + 20) distribute across the terms in the parentheses
2x + 100 = 12x + 80 subtract 80, 2x from both sides
20 = 10x divide both sides by 10
x=2
Pls help plssssssssssss
Deion has a toy car collection of 360 toy cars. He keeps 85% of the toy cars on his wall. How many toy cars does he keep on his wall?
Answer:
306 toy cars
Step-by-step explanation:
since he has a total of 360 toy cars, and he keeps 85% on the wall, to find how many toy cars he keeps on his wall we have to find 85% of 360:
360*0.85=306
therefore, he keeps 306 toy cars on his wall
The number of toy cars does that Deion keeps on his wall is 306 cars.
Number of cars = 360
Percentage of the toy cars on his wall = 85%
Then, the number of toy cars that is kept in his wall will be:
= 85% × 360
= 0.85 × 360
= 306
In conclusion, 306 toy cars are kept on the wall.
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