Answer:
1 mile
Step-by-step explanation:
1m =160934 cm
What the answer to this
Answer:y=-4, x=-1
Step-by-step explanation:
2x0.33
also what is it rounded? is it 2x1 or 2x0?
Answer:
2x0
Step-by-step explanation:
2 rounds to 2
and 0.33 rounds to 0
2x0
I understand that the answer is 0.99 which would round to 1.
But if these are the options then 2x0 is your answer.
Which expression is equivalent to startfraction 1 over sine (2 x) endfraction minus startfraction cosine (2 x) over sine (2 x) endfraction?.
tan(x) is equivalent to 1/sin2x - cos2x/sin2x.
To determine equivalent 1/sin2x - cos2x/sin2x we use the tan(x) formula.
What is tan(x)?
tan(x) is tangent of x here, tan is trigonometric operator.
Now, evaluate the given equation
= 1/sin2x - cos2x/sin2x
use the formula of 1-cos2x and substitute in the above equation.
= (1-cos2x)/sin2x
we have the formula of sin2x=2sinxcosx and converting 1-cos2x as 2sin²x
Now, substitute in the above equation.
= (2sin²x)/2sinxcosx
By, canceling 2sinx in the numerator and denominator, we get
= sin(x)/cos(x)
= tan(x)
Thus, tan(x) is equivalent to 1/sin2x - cos2x/sin2x.
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What are the 3 types straight line?
The 3 types straight line are
1. Slope-intercept form: y = mx + b
2. Point-slope form: y - y1 = m(x - x1)
3. Standard form: ax + by = c
1. Slope-intercept form: y = mx + b - This is the most common form of a straight line; it is composed of two parts: m (the slope of the line) and b (the y-intercept). To use this form, you need to know the slope (m) of the line and the y-intercept (b). From this information, you can calculate the equation of the line by substituting the values of m and b into the equation.
2. Point-slope form: y - y1 = m(x - x1) - This form of a straight line requires two points on the line and the slope of the line. To use this form, you need to know the two points on the line (x1, y1) and the slope of the line (m). Then, you can calculate the equation of the line by substituting the values of x1, y1 and m into the equation.
3. Standard form: ax + by = c - This form of a straight line is composed of three parts: a (the coefficient of x), b (the coefficient of y) and c (the constant). To use this form, you need to know the coefficients of x and y and the constant. From this information, you can calculate the equation of the line by substituting the values of a, b and c into the equation.
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CAN SOMEONE CHECK MY GEOMETRY WORK? 25 POINTS.
Picture attached. If so please tell me what I did wrong thx
Step 3 is unnecessary (the statement is already given, plus you haven't proven the triangle is isosceles anyway).
After, omit step 5 and jump straight to 6.
After this, step 6 is the statement that used to be step 5, which is true by CPCTC.
Then, you can prove the required statement by definition from this.
1 1/4 times 2 2/3
HELPPPPP ME PLEASE
Answer:
3 1/3Step-by-step explanation:
1 1/4×2 2/3[tex] \frac{5}{4} \times \frac{8}{3} [/tex][tex] \frac{40}{12} = \frac{10}{3} [/tex][tex]3 \times \frac{1}{3} [/tex]3 1/3How do you find the domain and range of a composition of F and G?
The domain of the composite function is the intersection of the domain of f(x) and G(x). D f(x) intersection D g(x) The range of the function is now restricted by the domain of the composite function.
Therefore, the range is found by evaluating the function at the points in the domain of f(x).
You find the domain of the function by finding all numbers that can't go into the equation. Usually all that prevents this is whether or not it contains a fraction with x on the bottom or a x under a square root .
The range is found by finding the vertex and noting that it is the minimum or maximum (depending on direction) of the graph. You can find the vertex by using -b/2a for the x value and then plugging in to get y value.
The given function f(x) = –37 is a horizontal line which goes from negative infinity to positive infinity.
In this case, the domain can be any number since there is no limit on what the x value can be.
So, the domain of the given function f(x) = –37 will be all real numbers.
And, the range will always be y = –37 because no matter what x value will equal, y will always be equal to –37 in the function of f(x) = –37.
So, the range of the given function f(x) = –37 will be y = –37.
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What are the first 20 prime numbers?
First twenty prime numbers among the set of prime numbers are as follow :
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71.
As given in the question,
Prime numbers are defined as the numbers which has only two factors one and the number itself.
Prime number does not exactly get divided by any other integer by leaving remainder equals to zero.
Prime numbers present in the number between 1 to 100 are equal to :
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
As prime numbers are already written in ascending order.
First twenty prime numbers are as follow :
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71.
Therefore, the first twenty prime numbers are given by :
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71.
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Georgia is reading at a rate of 2 pages everything 5 minutes. Which graph below shows the same unite rate?
Wouldn't it be 2/5, and when you apply the slope to the graph, it is C....up 2 to the right 5
The graph A represents the same unit rate of 2/5.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Georgia is reading at a rate of 2 pages everything 5 minutes
We have to find the graph below shows the same unite rate
slope of 2/5.
Graph A increasing 5 units in x axis when it increasing one unit on y axis so we take number of pages on X axis and time on y axis then the given condition satisfies.
Hence, the graph A represents the same unit rate of 2/5.
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(x - 10) + (3x -6) how do you solve this?
The expression (x - 10) + (3x - 6) is equivalent to the expression 4x - 16.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (x - 10) + (3x - 6)
Simplify the expression, then we have
⇒ (x - 10) + (3x - 6)
⇒ x - 10 + 3x - 6
⇒ 4x - 16
The expression (x - 10) + (3x - 6) is equivalent to the expression 4x - 16.
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Usain thinks of a two-digit number. He adds 11 and then divides by 3. The answer is 22. What number did he start with?
Answer:
55
Step-by-step explanation:
let 'n' equal the number
(n + 11) / 3 = 22
cross-multiply to get:
n + 11 = 66
n = 55
x²+12x+43=0 Perfect Square Trinomals
Answer:
The equation x²+12x+43=0 is a quadratic equation that can be solved by factoring or using the quadratic formula.
Factoring the equation:
x²+12x+43=(x+7)(x+6)=0
x+7=0 or x+6=0
x=-7 and x=-6
Therefore, the solutions for the equation are x=-7 and x=-6.
Alternatively, you can use the quadratic formula:
x = (-b± √(b²-4ac))/2a
Where a=1, b=12, c=43
x = (-12± √(12²-4143))/2*1
x = (-12± √(144-172))/2
x = (-12± √(-28))/2
x = (-12± i*√28)/2
x = (-12+ i2√7)/2 or x = (-12- i2√7)/2
These solutions are complex numbers, x = (-6+2i√7) or x = (-6-2i√7)
please help me cant do this no matter what i do
You need to show what you have problem with and then I could help you.
Eric is riding his bicycle. He rides for 54.4 kilometers at a speed of 17 kilometers per hour. For how many hours does he ride?
Answer:
3.2 hours
Step-by-step explanation:
You know that it takes him 1 hour to go 17 kilometers so you can divide 54.4 by 17 to get the hours.
Please Help! And give an explanation, please. I forgot how to do this stuff and my teacher didn't re-teach us how to do this lol
The values are calculated using the basic properties as follows.
What are Trigonometric Functions?Trigonometric functions are defined as the real functions which are simply the functions of an angle of a triangle. They are basically the periodic functions which relate an angle in a right angled triangle to the ratios of the length of two sides.
Trigonometric functions are also called as Circular functions.
Given sin θ = [tex]\frac{3}{7}[/tex] and cot θ = [tex]\frac{2\sqrt{10} }{3}[/tex]
In order to solve this, you need to know some of the basic trigonometric properties.
1. cot θ = 1 / tan θ
tan θ = sin θ / cos θ
So, cot θ = cos θ / sin θ
[tex]\frac{2\sqrt{10} }{3}[/tex] = cos θ / [tex]\frac{3}{7}[/tex]
cos θ = [tex]\frac{2\sqrt{10} }{3}[/tex] × [tex]\frac{3}{7}[/tex]
cos θ = [tex]\frac{2\sqrt{10} }{7}[/tex]
2. tan θ = 1 / cot θ
tan θ = 1 / [[tex]\frac{2\sqrt{10} }{3}[/tex]]
tan θ = [tex]\frac{3}{2\sqrt{10} }[/tex]
3. sec θ = 1 / cos θ
sec θ = 1 / [[tex]\frac{2\sqrt{10} }{7}[/tex]]
sec θ = [tex]\frac{7}{2\sqrt{10} }[/tex]
4. csc θ = 1 / sin θ
csc θ = 1 / [[tex]\frac{3}{7}[/tex]]
csc θ = [tex]\frac{7}{3}[/tex]
Hence the values of the trigonometric functions are calculated.
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Here is the graph for one equation in a system of equations:
a. Write a second equation for the system so it has infinitely many solutions.
b. Write a second equation whose graph goes through (0,1) so the system has no solutions
c. Write a second equation whose graph goes through (0,2) so the system has one solution at (4,1)
The solution is
a) The equation of line that has infinitely many solutions is y = ( -3/4 )x + 4
b) The equation of line passing through the point ( 0,1 ) is y = ( -3/4 )x + 1
c) The equation of line passing through (0,2) is y = ( -1/4 )x + 2
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
a)
Let the first point be P ( 0,4 )
Let the second point be Q ( 4 ,1 )
Now , the slope of the line passing through the points is given by
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 1 - 4 ) / ( 4 - 0 )
Slope m = -3/4
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 4 = ( -3/4 ) ( x - 0 )
y = ( -3/4 )x + 4
b)
The equation which passes through the point R ( 0 ,1 ) is given by
Substituting the values in the equation , we get
y - 1 = ( -3/4 ) ( x - 0 )
On simplifying the equation , we get
y = ( -3/4 )x + 1
c)
Now , the equation of line passing through the point ( 0 ,2 ) and has a solution at ( 4 , 1 ) is
Slope m = ( 1 - 2 ) / 4 - 0 )
Slope m = -1/4
Now , the equation of line is y - y₁ = m ( x - x₁ )
y - 2 = ( -1/4 ) ( x - 0 )
y = ( -1/4 )x + 2
Hence , the equations are solved
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Which of the following is the y-value of the solution to the system of equations?
3x + 2y = -4
-42y = 15x - 588
Solving the provided question we can say that the algebraic equation the value of 'y' is 19.
What are algebraic equations ?The difference is that expressions, which are essentially mathematical "phrases," do not contain an equal sign. Equations have an equal sign and demonstrate that two mathematical expressions are equivalent. An algebraic equation is 2x + b = 14, but 2x + b is an algebraic expression. Complete addition and subtraction from left to right after working from left to right to complete multiplication and division.
Expressions, which are essentially mathematical "phrases," are distinguished by the lack of the equal sign. Equations have an equal sign, which indicates that two mathematical expressions are equal.
3x+2y = -4
15x +42y = 588
32y = 608
y = 608/32
y= 19
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Solve for x in the following equation. 3(-3x-8) = 3(-6x+3) A. - 11/3 B. -11/9 C. 11/3 D. -5/3
The value of "x" in the algebraic equation
3(-3x - 8) = 3(-6x + 3) which makes it true is equal to 11/3 and option C is correct.
What is an algebraic equation?An algebraic equation is a mathematical statement that contains two equated algebraic expressions.
We shall evaluate for the value of x in the algebraic equation 3(-3x - 8) = 3(-6x + 3) as follows:
-9x - 24 = -18x + 9 {expand the bracket}
18x - 9x = 24 + 9 {collect like terms}
9x = 33
x = 33/9 {divide through by 9}
x = 11/3
Therefore, 11/3 is the value of x in the algebraic equation 3(-3x - 8) = 3(-6x + 3) that makes it true.
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What is the slope of y =- 9?
The slope of y = -9 is 0.
In mathematics, the slope of a line is a number that describes both the direction and the steepness of the line. It is commonly denoted by the letter "m".
The slope is defined as the ratio of the "rise" (change in the y-coordinate) to the "run" (change in the x-coordinate) between any two distinct points on the line. It is also known as the gradient of the line.
A line with a positive slope goes up as it goes to the right, while a line with a negative slope goes down as it goes to the right. A line with a slope of zero is horizontal, and a line with undefined slope is vertical.
The equation y = -9 is a horizontal line, hence, the slope is 0.
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there are 15 boys and 13 girls in her class what is P(boy)
Answer
15/28
Step-by-step explanation:
total no. of students in the class = 15+13
=28
no. of boys = 15
p(boy) =15/28
What kind of sequence is an exponential function?
An exponential function is a function in which the variable is in the exponent. The general form of an exponential function is f(x) = ab^x, where a and b are constants.
The variable x is the exponent, meaning that it is raised to a certain power, resulting in the variable being in the exponent. In this function, the value of the function increases or decreases at a rate that is proportionate to the current value of the function.
This type of function is commonly used in modeling growth or decay in various fields such as biology, economics, and physics. The exponential function generates a sequence that is exponential in nature, the rate of change of the function is directly proportional to the value of the function.
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What is a function example table?
A function example table is a tool used to organize and present information about a specific function or set of functions.
It typically includes the following columns:
Input: This column lists the inputs or arguments that the function accepts.
Output: This column lists the outputs or return values that the function produces.
Description: This column provides a brief explanation of what the function does and how it works.
Example: This column provides one or more examples of how the function can be used, along with the corresponding inputs and outputs.
Function example tables are a useful tool for documenting and understanding code, as they provide a clear and concise summary of a function's behavior.
They can also be helpful for testing and debugging code, as they can be used to quickly check that a function is behaving as expected.
In conclusion, A function example table can be used to organize and present information about a specific function or set of functions, it typically includes the following columns: Input, Output, Description and Example.
This table is a useful tool for documenting and understanding code, as they provide a clear and concise summary of a function's behavior which can also be helpful for testing and debugging code.
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Charles checks his pocket for change. He notices that he has 20 coins in dimes and quarters for a total of
$3.20.
Part A
Formulate a system of equations to represent this situation.
Part B
Solve the system of equations to determine the number of dimes and the number of quarters Charles has
in his pocket.
Therefore , the solution of the given problem of equation comes out to be 12 pennies.
Analyze the equation.A equation is a method that links two statements and signifies equivalence with the equals sign (=). In algebra, a scientific assertion that confirms the equivalency of two schemas is referred to as an equation. For instance, the answer obd + 6 = 12 has an equal sign between the elements ptdc + 6 and 12, respectively. There is a mathematical formula that describes the relationship between two phrases on either side of a letter. Frequently, the symbol and the single variable are the same. For example, 4x – 4 = 0.
Here,
Solving once per variable is the key to this issue.
Let x equal quarters and y equal dimes.
So, x + y = 20
Now, we'll build an equation using the coin values and total quantity of cash. (Decimals have been omitted for clarity.) 25x + 10y = 320
In terms of y, let's restate the original equation: y = 20 - x
In the second equation, we will now substitute this for y. 25x + 10(20-x) = 320
Calculate the value of x: 25x + 200 – 10x = 320.
15x = 120
8 quads times x
In light of this, y = 20 - 8 = 12 pennies.
Therefore , the solution of the given problem of equation comes out to be 12 pennies.
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What are the steps for using a compass and straightedge to construct a square? drag the steps and drop them in order from start to finish.
2,5,4,6,1,7,3 is the correct order to construct a square.
So looking at the 7 available steps, only the step "Construct horizontal PQ" is possible since that's just a matter of drawing a straight line and labeling the endpoints P and Q. In any case, here are the 7 steps in order. The number in parenthesis after the 1st number is the original scrambled order of that step.
1. Construct horizontal PQ
2. Construct a circle with point P as the center and a circle with point Q as the center, each circle having a radius PQ
3. Label the point of intersection of the two circles above PQ, point R, and the point of intersection of the two circles below PQ, point S
4. Construct RS, the perpendicular bisector of PQ, intersecting PQ at point T
5. Construct a circle with point T as the center with a radius TQ
6. Label the point of intersection of circles T and RS closest to point R, point U, and the point of intersection of circles T and RS closest to point S, point V.
7. Construct PU, UQ, QV, and VP to complete square PUQV.
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pedro is seven years older than his sister, use a number line to represents Pedro’s age
You take a loan our for 2000.00, with an interest rate of 5.5% over a period of 3 years. What is the total amount owed?
Answers should be in $1,000.00 form (include dollar sign ($), comma (,), and period when necessary(.))
The total amount owed to the lender equals $2,330.
How do we calculate the amount owed?In our calculate, we are using a simple interest because it is only an interest charge that borrowers pay lenders for a loan. It is calculated by using the principal only and does not include compounding interest.
Data
Loan = $2000.00
Interest rate = 5.5%
Time = 3 years
The total amount owed:
= Loan + Interest.
To get our Interest, we will use "S.I. = PRT/100"
= 2000.00 * 5.5% * 3
= $330
Hence, the total amount owed equals to
= $2,000 + $330
= $2,330.
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Find a line of best fit to represent the data. Let y = ticket price and x = the number of years since
1980 (1980 is year zero, 1981 is year one). Approximate a line to represent the data, a slope, a yintercept and equation that models your line of best fit.
The line of best fit to represent the given data would be y = 13.5x + 10.
What is the best-fit line in statistics?
A best-fit line, also known as a line of best fit, is a straight line that is used to model the relationship between two variables in a set of data.
A line of best fit is a straight line that is the best approximation of the data points. To find a line of best fit, you can use the method of least squares, which involves minimizing the sum of the squared differences between the data points and the line.
Given the data (x,y) = {(0,10), (1,12), (2,15), (3,20), (4,30)}, the slope of the line can be calculated using the formula:
slope = (NΣ(xy) - Σx * Σy) / (NΣ(x^2) - (Σx)^2)
Where N is the number of data points.
Plugging in the data:
slope = (5*(10+24+30+60+120) - (0+1+2+3+4)(10+12+15+20+30)) / (5(0+1+4+9+16) - (0+1+2+3+4)^2)
slope = 270/20 = 13.5
y-intercept can be calculated using the formula:
y-intercept = (Σy - slopeΣx)/N
y-intercept = (10+12+15+20+30 - 13.5(0+1+2+3+4))/5
y-intercept = 10
So, the equation of the line of best fit would be:
y = 13.5x + 10
This equation represents a line with a slope of 13.5 and a y-intercept of 10. This line of best fit can be used to make predictions about the ticket price for a given number of years since 1980.
Hence, the line of best fit to represent the given data would be y = 13.5x + 10.
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Copy of IM Geo.2.5 Practice: Points, Segments, and Zigzags.
The sequence of rigid motion to take figure ABC to DEF given below.
What is triangle?Triangle is a geometric figure with three sides and three angles. It is one of the basic safe in geometry. Triangles are either write, acute or obtuse depending on the size of each angle. The sum of the angles in a triangle is 180 degrees. Triangle can be classified into equity real isosceles and triangles depending on the length of the sides.
1. Rotate figure ABC 90 degrees clockwise about the origin (point O).
2. Translate figure ABC 4 units to the right.
3. Rotate figure ABC 180 degrees clockwise about point O.
4. Translate figure ABC 2 units down.
5. Rotate figure ABC 90 degrees counterclockwise about point O.
6. Translate figure ABC 3 units to the left.
7. The figure is now in the position of figure DEF.
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What are the three types of solutions to a system of linear equations in two variables?
A system of linear equations in two variables can have a unique solution, infinitely many solutions, or no solution.
There are three types of solutions to a system of linear equations in two variables:
Consistent and independent: A system of linear equations is said to be consistent and independent when it has a unique solution. It means that there is only one point of intersection between the two lines represented by the two equations.Consistent and dependent: A system of linear equations is said to be consistent and dependent when it has infinitely many solutions. It means that the two lines are the same and they coincide with each other.Inconsistent: A system of linear equations is said to be inconsistent when there is no solution. It means that the two lines are parallel and do not intersect.To learn more about linear equations at
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what is the product of -3 and 1.5
Answer:
-4.5
Step-by-step explanation:
3 × 1.5 = 4.5
Negative times positive is negative.
-3 × 1.5 = -4.5