Answer:
equally likely
Step-by-step explanation:
there are 3 numbers less than or equal to 3. divide that by every number on the cube. Then you get 0.5.
move the decimal twice and turn it into a percent 50%
50% is equally likely.
How can we prove that at least one duplicate number must exist in Nums?
It is a straightforward application of the pigeonhole principle to demonstrate that there must be at least one duplication in nums. Here, each possible number in nums is a "pigeon," and each specific place where a pigeon can occur is a "pigeonhole."
How to determine whether there is at least one duplicate number in Nums:
Simple Method: The goal is to use nested loops and determine whether or not each element appears in the array more than once for each element.
If it's there, put it in a hash map. If not, keep examining the other components.Duplicate data might occasionally be helpful, but it can also make it more difficult to interpret your data.In order to identify and highlight duplicate data, use conditional formatting.In this manner, you can examine the duplicates and choose whether or not to delete them.Use the Remove Duplicates feature to permanently eliminate the duplicate data. To avoid inadvertently losing any information, it is a good idea to copy the original data to another worksheet before deleting the duplicates.Choose the cell range with the duplicate values you want to get rid of.then select Data > Remove Duplicates Check or uncheck the columns where you want to eliminate duplicates under Columns.Learn more about duplicate number Visit: brainly.com/question/15323323
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| 3m-n | if m=-8, n=4, and p=-12
Answer:
-28
Step-by-step explanation:
A popular board game manufacturer was interested in the relationship between the amount of time it takes to play a game and how well that game is rated among board game players. information was collected on several board games and was used to obtain the regression equation ŷ = 27.273x 18.182 where x represents the time it takes to play (in hours) and ŷ is the predicted rating of that game (in points). what is the predicted rating of a game that takes 1 hour to play?
a. –0.63 points
b. 9.091 points
c. 45.455 points
d. 1,654.562 points
Answer:
Your question seems to be wrong, I'm the equation given there is no arithmetic sign between the constant and the value with the coefficient of X.
Step-by-step explanation:
Anyways, to solve this, you just input 1 as the value of X in the equation. When this is done, you solve normally.
find the square of 2√3
Answer: The square of 2[tex]\sqrt{3[/tex] is 12
Step-by-step explanation:
squaring the 2 and [tex]\sqrt{3}[/tex] , then multiplying the results
[tex]2^{2}[/tex] =4
again [tex]\sqrt{3} ^{2}[/tex]= 3
therefore, 4x3 =12
need this done quickly pls
The simplest form of expression [tex]125\frac{2}{3}[/tex] is [tex]25[/tex].
Definition of exponent- Exponent means a quantity, describing the power to which base number is raised. In other words , Exponent refers to the number of times a number is used in a multiplication. The 4 types of exponents are: positive, negative, zero, and rational. Positive exponents tell you how many times to multiply a base by itself. Exponent is defined as the method of expressing large numbers in terms of powers.
Given :- expression: [tex]125^{\frac{2}{3} }[/tex]
Explanation:-In order to solve this expression , we use properties of exponents.
Hence , using the property - [tex]x^{m} x^{n}[/tex][tex]=x^{mn}[/tex]
and rewriting 125 as cube of 5
⇒[tex]125=5^{3}[/tex]
⇒[tex]5^({3)\frac{2}{3} }[/tex]
⇒[tex]5^{2}[/tex]
⇒[tex]25[/tex]
So, finally the simplest form of the given expression is 25.
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What is the mean of the numbers 2 4 6 and 8?
5 is the mean of the numbers .
What are the mean, median, and example?
A data collection is ordered from least to largest, and the median is the midpoint number. A data set's mode is the number that appears the most frequently. The most frequent number, or the one that happens the most frequently, is known as the mode.
Example: Since the number 2 appears three times, more than any other number, it is the mode of the numbers 4, 2, 4, 3, and 2.
x = 2 + 4 + 6 + 8/4
x = 20/4
x = 5
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How do you compare growth rate of a function?
Step 1: Given the functions f(x) and g(x) , compute the limit limx→∞f(x)g(x) lim x → ∞ f ( x ) g ( x ) .
Step 2: If the limit in Step 1 is a finite constant a≠0 a ≠ 0 , then the growth rate of f(x) is a times the growth rate of g(x) at sufficiently large x .
Now, According to the question:
Steps on How to Compare the Rates of Change of Two Functions Using Limits
Step 1: Given the functions f(x) and g(x), compute the limit
limx→∞f(x)/g(x).
Step 2: If the limit in Step 1 is a finite constant a≠0, then the growth rate of f(x) is a times the growth rate of g(x) at sufficiently large x. If the limit in Step 1 is ∞, then the growth rate of f(x) is greater than the growth rate of g(x). If the limit in Step 1 is 0, then the growth rate of g(x) is greater than the growth rate of f(x).
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What is the equation of the line in slope intercept form calculator?
Slope-intercept form is often expressed using the formula y = mx + b, where m denotes the line's slope and b denotes the y-value of the line's y-intercept.
Define the slope of a line?The ratio of the change in the y coordinate to the slope of a line in mathematicsThe formula for the change in coordinate with respect to the changeAny three numbers that are proportionate to the line's direction cosines can be used to represent a line's direction ratios. In addition to direction ratios, direction numbers are also used.The steepness and direction of a line are frequently indicated by its slope.It is necessary to compute the ratio of the coordinate differences between the two points that make up the line. The result is a value that is determined by the line's slope. When compared to its, it exhibits.To learn more about Slope of Line refers to:
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What is the distance between points (-3, 5, -7) and (2, -4, 6)?
Distance between the points (-3, 5, -7) and (2, -4, 6) is 5√11 units.
What is cartesian coordinate points?
The Cartesian coordinates of a point in three dimensions are the triple (x, y, z). The three numbers or coordinates give the signed distance from the origin along the x, y, and z axes respectively.
Solution:
Given, x1 = -3 , x2 = 2
y1 = 5 , y2 = -4
z1 = -7 , z2 = 6
The formula for finding the distance between two points on 3D graph is given below
Distance =√((x2-x1)²+(y2-y1)²+(z2-z1)²)
⇒Distance =√{(2-(-3))²+(-4-5)²+(6-(-7))²}
⇒Distance =√{(2+3)²+(-9)²+(6+7)²}
⇒Distance =√{5²+81+13²}
⇒Distance =√(25+81+169)
⇒Distance =√275
⇒Distance =5√11
Thus, the distance between (-3, 5, -7) and (2, -4, 6) is 5√11.
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According to the given information the distance between the points 16.58 units.
What is the distance formula, exactly?the algebraic phrase known as the distance formula, which provides the distances between two places in terms of respective dimensions (see coordinate system). The distance formulae for locations in rectangular coordinates in two- and two half Euclidean space are based upon that Pythagorean theorem.
How come we measure distance?We can determine an object's actual size by learning how far it is from us. The area that an object occupies in the sky may be measured. The distance to an object is then necessary to calculate its real size. An thing appears smaller the farther it is away.
Briefing:The distance between two points (x₁, y₁, z₁) and (x₂, y₂, z₂)
[tex]\begin{equation}d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2+\left(z_2-z_1\right)^2}\end[/tex]
x₁, y₁, z₁ = -3, 5, -7
x₂, y₂, z₂ = 2, -4, 6
[tex]\begin{equation}d=\sqrt{\left(2+3\right)^2+\left(-4-5\right)^2+\left(6+7\right)^2}\\\begin{equation}d=\sqrt{\left(5\right)^2+\left(-9\right)^2+\left(13\right)^2}\\\begin{equation}d=\sqrt{25+81+169}\\\begin{equation}d=\sqrt{275}\\[/tex]
= 16.58 units
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What is the value of x³ 3y²x² if x 3?
The value of x³ 3y²x² is 27y² when x is 3. This is because x³ is equal to 27, and multiplying it by 3y² and x² gives 27y².
The value of x³ 3y²x² when x is 3 can be calculated by first understanding how x³ is equal to 27. This is because when something is cubed, the value is three times itself. For example, if x is 2, then x³ is 2 x 2 x 2, which is 8. If x is 3, then x³ is 3 x 3 x 3, which is 27. Once this is understood, the value of x³ 3y²x² when x is 3 can be calculated by multiplying 27 (the value of x³ when x is 3) by 3y² and x². In this case, x² is also equal to 3, so the equation becomes 27 x 3y² x 3, which is equal to 27y². This means that the value of x³ 3y²x² when x is 3 is 27y².
x³ = 3 x 3 x 3 = 27
x³ 3y²x² = 27 x 3y² x 3 = 27y²
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What is the formula to calculate HCF?
Therefore , The HCF is the divisor if the residual is 0, otherwise, apply the lemma to b and r and continue dividing until the remaining is 0.
What is HCF, for instance?It is possible to evaluate HCF using more than one number. It is the most effective divisor for any couple of integer that may evenly or completely divide the inputted numbers. For instance, 15 is the highest common factor between 60 and 75 since it is the largest number that divides both 60 and 75 exactly.
Here,
To calculate the HCF of the supplied numbers, many HCF formulas are utilized. See what they are now:
Product of the Numbers = LCM * HCF If P and Q are two distinct numbers, then P Q is the result of LCM (P & Q) HCF (P & Q).
Coprime numbers' HCF is always 1. LCM of Co-Prime Numbers, thus, equals the product of the numbers.
Division of Euclid To determine the HCF of two numbers, apply the lemma. Obtain the two numbers a and b such that a > b. Locate a/b , for example. The HCF is the divisor if the residual is 0, otherwise, apply the lemma to b and r and continue dividing until the remaining is 0.
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eric is randomly drawing cards from a deck of 52. he first draws a red card, places it back in the deck, shuffles the deck, and then draws another card. what is the probability of drawing a red card, placing it back in the deck, and drawing another red card? answer choices are in the form of a percentage, rounded to the nearest whole number. 4% 22% 25% 13% save
b. The probability of drawing a red card, placing it back in the deck, and drawing another red card is approximately 22%.
This is because there are 26 red cards in a standard deck of 52 cards, out of which half (13) are red. So, when Eric draws a red card and puts it back in the deck, the probability of drawing another red card is 13/52, which is approximately 25%.
However, since the deck is shuffled after the first draw, this probability is slightly reduced to 22%. Thus, the probability of drawing a red card, placing it back in the deck, and drawing another red card is approximately 22%.
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How do you solve for x and y in two equations?
We can solve for x and y in two equations by using the Elimination method for the simultaneous linear equations.
The Elimination approach results in the reduction of one problem to a single-variable equation when two simultaneous linear equations are solved. Following this, the answer is the same as when one line was vertical or parallel. The Gaussian elimination method is the name given to this approach.
We can understand the above method through an example:
Equation 1: 4x + 6y = 8
Equation 2: 3x + 4y = 5
Step 1: In order to ensure that the two equations have the same leading coefficient, multiply each equation by a reasonable value. Equation 1 may be easily solved by multiplying it by 3, the x coefficient from Equation 2, and Equation 2 by 4, the x coefficient from Equation 1.
Therefore the equations become,
12x + 18y = 24
12x + 16y = 10
Step 2: Subtract equation 2 from equation 1
We get 2y = 14
From the above equation, we get the value of y as 7
Step 3: We will substitute the value of y in one of the initial equations
Substituting the value of y in equation (1) 4x + 6y = 8
4x + 6(7) = 8
4x + 42 = 8
4x = 34
x = [tex]\frac{34}{4}[/tex]
x = [tex]\frac{17}{2}[/tex]
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In the Diagram of parallelogram HIJK below, the diagonals HJ and IK are perpendicular, as shown. If HJ is 10 inches and IK is 24 inches long, then why must HK be 13 iches long?
The measure of the section HK of the parallelogram will be 13 inches.
What is a parallelogram?A parallelogram is a straightforward quadrilateral with two parallel sides. A parallelogram's opposite or facing sides are of equal length, and its opposite angles are of equal measure.
A diagonal in geometry is a line segment that connects two vertices of a polygon or polyhedron that are not on the same edge. Informally, any sloping line is referred to as a diagonal.
The length of the HK will be calculated as,
HK = √ ( 12² + 5²)
HK = √ ( 144 + 25 )
HK = √ (169 )
HK = 13 inches
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If f(x) has a y-intercept at 5 and x-intercepts at 2 and −4, and if g(x) = −2f(x), what are the intercepts of g(x)?
Answer:
y-intercept: -10x-intercepts: 2 and -4Step-by-step explanation:
You want to know the intercepts of g(x) = -2f(x), where the intercepts of f(x) are (0, 5), (2, 0) and (-4, 0).
Vertical scalingThe scale factor of -2 applied to f(x) multiplies each of the y-coordinates by -2.
(x, y) ⇒ (x, -2y)
(0, 5) ⇒ (0, -10) . . . . y-intercept
(2, 0) ⇒ (2, 0) . . . . . x-intercept
(-4, 0) ⇒ (-4, 0) . . . . x-intercept
The intercepts of g(x) are (0, -10), (2, 0) and (-4, 0).
The intercepts of g(x) = -2f(x) are (0, -10), (2, 0), and (-4, 0).
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
f(x) has a y-intercept at 5 and x-intercepts at 2 and −4.
This means,
(0, 5), (2, 0), and (-4, 0)
Now,
g(x) = -2f(x).
This means,
Vertical scaling.
Multiply -2 with the y-coordinate.
(0, 5) = (0, -10)
(2, 0) = (2, 0)
(-4, 0) = (-4, 0)
Now,
The intercepts are (0, -10), (2, 0), and (-4, 0).
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A rectangular frame is placed around a water color painting. the width of the frame is consistent around the painting. the dimensions of the painting are 24 inches by 18 inches. what is the width of the frame if the area of the frame is 400 square inches?
If the frame has a 400 square inch surface area, its breadth is 5 inches.
Let's call the width of the frame w.
The total width of the painting and the frame is 24 inches + 2w inches since there is a frame of width w on both sides of the painting.
Similarly, the total height of the painting and the frame is 18 inches + 2w inches, since there is a frame of width w on both the top and bottom of the painting.
The area of the frame is the difference between the area of the rectangular frame and the area of the painting. The area of the rectangular frame is (24 inches + 2w inches) * (18 inches + 2w inches) = 432 inches + 72w inches + 36w inches + 4w^2 inches. The area of the painting is 24 inches * 18 inches = 432 inches.
Therefore, the area of the frame is 432 inches + 72w inches + 36w inches + 4w^2 inches - 432 inches
= 72w inches + 36w inches + [tex]4w^2[/tex] inches = 400 inches.
Combining like terms, we get [tex]4w^2[/tex] inches + 108w inches = 400 inches.
Dividing both sides by 4, we get [tex]4w^2[/tex] inches + 27w inches = 100 inches.
We can use the quadratic formula to solve this equation in the quadratic form:
w = [tex]\frac{(-b +/- sqrt(b^2 - 4ac))}{2a}[/tex]
= [tex]\frac{(-27 +/- sqrt(27^2 - 4 * 1 * 100))}{2*1} \\[/tex]
= [tex]\frac{(-27 +/- sqrt(729 - 400))}{2}[/tex]
= [tex]\frac{(-27 +/- sqrt(329)) }{2}[/tex]
= [tex]\frac{(-27 +/- sqrt(289))}{2}[/tex]
The solutions are w =[tex]\frac{ (-27 + 17)}{2}[/tex] = -5 inches and w = [tex]\frac{(-27 - 17)}{2}[/tex] = -22 inches.
Since the width of the frame must be positive, the correct solution is w = -5 inches. The frame is five inches wide.
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Mr. Hamilton decorates his U.S. History classroom by putting up pictures of the presidents. The wall is 9.75 feet long. In the center, there is a window that is 5 3/4 feet long. Each president's picture is 6 inches wide. If the pictures are placed side by side on either side of the window, how many pictures can he fit on this wall?
Answer the questions to solve this problem.
1. How many feet long is the space Mr. Hamilton wants to fill with pictures? Explain how you know.
2. Convert this length to inches.
3. How many pictures will Mr. Hamilton use? Explain how you found your answer
4. How would your answer change if the pictures were 10 inches wide? Explain.
1. Mr. Hamilton wants to fill with pictures is 4 feet.
2. 6 inches is 0.5 feet.
3. Mr. Hamilton uses 8 pictures to cover to space.
4. If the pictures were 10 inches wide, then he can cover the wall by 3 pictures.
What are the units of length?
Distance is measured in length. Length has the dimension of distance in the International System of Quantities. The majority of measurement systems choose a base unit for length from which all other units are derived. The metre serves as the foundational unit of length in the International System of Units.
Meter, centimeter, kilometer, millimeter, decimeter, decameter, and other units of measurement are frequently used to describe length.
1.
The length of wall is 9.75 feet.
The length of window is [tex]5\frac{3}{4}[/tex] feet = [(5×4) + 3]/4 feet = 23/4 feet = 5.75.
The empty space of the wall is (9.75 - 5.75) = 4feet.
2.
1 feet = 12 inches
or, 12 inches = 1 feet
1 inches = 1/12 feet
6 inches = 6/12 feet =0.5 feet
3.
The number of picture is
= The length of empty space/ the wide of image
= 4/0.5
= 8
4.
Suppose the length of image 10 inches.
10 inches = 10/12 feet
The number of images is (10/12) × 4 = 10/3 = 3.333
He can not cover all empty space by using pictures. He can use only 3 pictures.
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Do rigid transformations make congruent figures?
Congruent figures are produced through rigid transformations. Congruent figures may always be connected to stiff transformations even though you could conceive of them as forms that "look precisely the same."
What is rigid transformation?Separation between each pair of points of a geometric object is maintained during exact modification of the object. In other words, exact transformations preserve the size and shape of objects. For example, a triangle rigid transformation preserves the triangle's angles and lengths. Imagine the distortion of a rigid shape similar to that of cardboard. The shape does not change even if it is slid left and right, rotated, and mirrored.
It was the opposite when I made a mold with putty. After that, you can twist and stretch things. However, these conversions are not exact. Stretching the shape changes the distance between each pair of points.
We may produce congruent shapes by applying rotations, reflections, and translations—three types of transformations. In reality, all congruent shape pairings may be matched to one another by combining one or more of these three transformations.
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What is the solution to the system of equations y =- 3x 2 5x 2y 15?
The solution for the system of equations is (-19,55).
As given the equations in the question
y = –3x – 2
Simplify the above
y + 3x = -2
5x + 2y = 15
Multiply y + 3x = -2 by 2 and subtracted from 5x + 2y = 15.
2y - 2y + 5x -6x = 15 + 4
-x = 19
x = -19
Putting the value of x in the equation y + 3x = -2.
y + 3 × - 19 = -2
y - 57 = -2
y = -2 + 57
y = 55
Therefore the solution for a system of equations is (-19,55).
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How do you find the height of A rectangle if you know the area and length?
The height of rectangle is equal to its breadth or vertical side length.
what is rectangle?A figure which has four straight sides along with 4 right angles is called rectangle. Two equal side lengths are parallel to each other, and the bigger sides are called length of rectangle and smaller sides are called breadth.
How to calculate height of rectangle?we can determine the height of rectangle by the following formula
if a rectangle has length, A and breadth, B
we know the area of rectangle is the product of length and breadth.
Area =A×B
we know the position of A is along the horizontal and position of B is along the vertical. Therefore, breadth, B refers the height of rectangle.
if we know the value of area and length we will find the height.
breadth = Area/length
height = Area/length
hence, the height of rectangle is its vertical side length.
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easy points, please answer a proper answer though
For an investment of $26,245, a quarterly statement reports that the account balance is $26,192. The statement also reports that for the same quarter, the rate of return on the investment was - 0.02%. Given the information regarding the investment's quarterly activity, is the reported rate of return reasonable? Use complete sentences to explain your answer.
The return rate is unreasonably low. This is so since the investment is $26,245 and the account balance is $26,292 according to the quarterly statement. It is obvious that the investment has increased. Furthermore, the actual rate of return is 0.18% (($26,292-$26,244)/ $26,292)*100).
What does return on investment mean?
The percentage change in an investment's value is represented by the annual rate of return. For instance, if you estimate a 10% annual rate of return, you're anticipating that your investment's value would rise by 10% annually.
What exactly does compounding mean?
Compounding is the method through which interest is added to both the principle balance already in place and the interest that has already been paid. Thus, compounding can be thought of as interest on interest, with the result that returns on interest are magnified over time, or the so-called "magic of compounding."
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Can someone help me with Questions 1 and 2 on this assignment? I am not really understanding them. I would deeply appreciate it!
Add 5 to 2 = 2 will make 7 = 7 a true statement and adding 5 to 2 ≠ 3 to make 7 ≠ 8 will make a true statement.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
(1)
As per the given,
2 = 2
Add 5 on both sides of the above equation,
2 + 5 = 2 + 5
7 = 7 (True)
(2)
As per the given
2 ≠ 3
Add 5 on both sides of the above equation,
2 + 5 ≠ 3 + 5
7 ≠ 8 (True)
Hence "It is correct that if you add 5 to 2 = 2, you will get 7 = 7, and if you add 5 to 2 ≠ 3, you will get 7 ≠ 8".
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which is the solution of 2cos theta = 2 sin theta for pi ≤ theta ≤ 3 pi
THIS IS SO CONFUSING MAN HELP
Answer:
[tex]\displaystyle{\theta=\dfrac{5\pi}{4}\, , \, \dfrac{9\pi}{4}}[/tex]
Step-by-step explanation:
Given the equation [tex]\displaystyle{2\cos \theta = 2\sin \theta}[/tex]. We have to divide both sides by 2 which gives us [tex]\displaystyle{\cos \theta = \sin \theta}[/tex]. Then divide both sides by [tex]\displaystyle \cos \theta[/tex] which gives us [tex]\displaystyle{1=\dfrac{\sin \theta}{\cos \theta}}[/tex].
We know that:
[tex]\displaystyle{\dfrac{\sin \theta}{\cos \theta} = \tan \theta}[/tex]
So we can rewrite the equation as [tex]\displaystyle{1=\tan \theta}[/tex].
We know that [tex]\displaystyle{\tan \theta = 1}[/tex] when [tex]\displaystyle{\theta = \dfrac{\pi}{4}+\pi k}[/tex] for [tex]\displaystyle{k \in I}[/tex] (k is any integer). However, the equation is given with the interval [tex]\displaystyle{\pi \leq \theta \leq 3\pi}[/tex]. Therefore, we have to substitute k-values that satisfy the interval.
It appears that only k = 1, 2 which gives us [tex]\displaystyle{\theta_1 = \dfrac{\pi}{4}+\pi}[/tex] and [tex]\displaystyle{\theta_2 = \dfrac{\pi}{4}+2\pi}[/tex]can be used since both satisfies both values and interval.
Simplifying both solutions:
[tex]\displaystyle{\theta_1 = \dfrac{\pi}{4}+\dfrac{4\pi}{4} \, , \, \theta_2=\dfrac{\pi}{4}+\dfrac{8\pi}{4}}\\\\\displaystyle{\theta=\dfrac{5\pi}{4}\, , \, \dfrac{9\pi}{4}}[/tex]
Which congruence theorem can be used to prove △ bda ≅ △ bdc?
The ASA criterion might be the most appropriate, as it states that two triangles are congruent if two angles and the included side are congruent.
To use a congruence criterion in the given situation, you will need to determine which criterion is most appropriate based on the information provided. There are several congruence criteria that can be used to determine whether two triangles are congruent, including the Side-Side-Side (SSS) criterion, the Side-Angle-Side (SAS) criterion, the Angle-Side-Angle (ASA) criterion, and the Angle-Angle-Side (AAS) criterion.
In this case, the ASA criterion might be the most appropriate, as it states that two triangles are congruent if two angles and the included side are congruent. Given that ∠A=∠C=90∘ and AE=CB, you can use the ASA criterion to conclude that triangles AEB and CED are congruent.
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The question is -
Which congruence theorem can be used to prove EB = BD, AE = CB, ∠ A = ∠ C = 90°?
What are the 4 types of triangle?
Answer:
Scalene, isosceles and equilateral triangle are the types of triangles
Step-by-step explanation:
They differ from each other based on their side-length. If all the three sides are different in length, then its scalene triangle. If any two sides are equal in length, then it is an isosceles triangle.
How do you graph 3 x?
The graph of y=3x is a straight line, it can be graphed by taking two points on the line.
What is a graph?
A diagram that depicts the relationship between two variables, usually measured along opposite axes in a pair, is used.
The equation we have is y=3x.
Since it is a linear equation, the graph will be a straight line.
A Line can be plotted with two points.
The two points on line y=3x are (0,0) and (1,3)
Because when x=0, y=0 and when x=1, y=3.
We have to plot the two points on the graph and join the points and extend the line segment.
This way we can graph y=3x.
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PLS HELP FAST I WILL MARK THE FIRST BRAINLIEST
In science class, Alex estimates the volume of a sample to be 42 mL. The actual volume of the sample is 38 mL. Find the percent error of Alex’s estimate. Round your answer to the nearest tenth.
Group of answer choices
1.9%
2.1%
9.5%
10.5%
SHOW YOUR WORK PLS
The percent error of Alex’s estimate will be 10.5% which is the correct answer would be an option (D).
How to calculate the percent error?To find the percent error of Alex's estimate, we need to first calculate the difference between the estimated value and the actual value.
In this case, the difference is 42 mL - 38 mL = 4 mL.
Now we can divide the difference by the actual value and multiply by 100% to find the percent error.
As per the given question, the percent error is :
⇒ (4 mL / 38 mL) x 100%
⇒ 10.5%.
Therefore, the answer is 10.5%.
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Which expression is equivalent to 5y-3?
1/125y3
1/5y3
5/y3
125/y3
How many odd numbers of 3 digits are there which have all 3 digits distinct?
There are 60, odd numbers of 3 digits are there which have all 3 digits distinct with each of the digits odd.
we know that,
Now there are 5 odd numbers from 0 to 9. Those are 1,3,5,7 and 9. Now we need to fill these into three places and make sure that the numbers do not repeat.
Let us take the example of the number 135.
1st digit 2nd digit 3 digit
1 3 5
Now 135 is the first number which satisfies all the conditions.
Similarly, we can find many numbers but this would take a lot of time.
Let us generalize this.
Now we have 5 options to be put in the 1st digit place. So
1st place = 5 options.
Now since the numbers do not have to repeat the number of options we need to put in the second place will reduce to (5-1) that is 4. Thus, 2nd place = 4 options.
Now in the third place too the numbers should not repeat. Thus our options further reduce to (5-3) that is 3 options. Thus,
3rd place = 3 options.
Now, to find all the arrangements, we multiply the number of options in all places.
Thus the total number of numbers is equal to 5×4×3=60
Thus , there are 60, odd numbers of 3 digits are there which have all 3 digits distinct with each of the digits odd.
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Are all equilateral triangles congruent Yes No?
All equilateral triangles are NOT congruent.
Only those equilateral triangles whose sides have the same length will be congruent.
Those whose sides have different lengths will not be congruent.
By the criteria of congruence:Side Angle Side: Two triangles are congruent if two sides of one triangle have the same measure as the two sides of the other, the angle being equilateral if they have the same (60º)Side Side Side: Two triangles are congruent if all three sides of one have the same length as the other.Angle Side Angle: Two triangles are congruent if two of their angles and the side between the two angles are equal in the other triangle.