Numbers approach negative infinity as they move left on the number line and positive infinity as they move right on the number line. Negative infinity is always less than any number, positive infinity is always greater than any number.
Main Difference:
There is no positive ∞ nor negative ∞.Infinity is not a number not on the number line. Do not use in arithmetic expressions. Relearn the number line.Infinity is one size, one multiplicity. It's a size that fits a lot.The size of all odd-only sets is infinite.The set of all integers evenly divided by 7 has the same size as infinity.It is the union of the sets described above and the size of the resulting set is the same size of infinity.If we remove all negative integers from this set, the size of the resulting set will be the same size as infinity.The size of the set of all integers is infinite.His five sets above are all the same size infinity.This can happen because infinity is not a number. relearn the number line.Learn more about Negative Infinity:
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Whats mean in range?
The extent of the variations that could occur or the dividing lines between them several styles and prices across the steel spectrum. the scale or extent of a procedure, move, or activity.
what is range ?The statistical range for a certain data collection is the range of values between the highest and lowest values. Comparing the top and lowest observational values also allows one to visualize the range. By deducting the greatest value from the lowest, the sample interval is determined. The sample range is a critical indicator of variability for variables with continuous variation.
here ,
There is a range of values between the lowest and highest. The lowest and greatest values in the example are 2 and 9, respectively.
Therefore, the range is 9 x 2 = 8.
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What is the mean of 2 4 6 8 10 30?
The mean for a given set of observations is 10.
What is mean?The mean is the average of a set of variables in mathematics and statistics. The mean may be calculated in a variety of methods, including the simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean. A data set's mean (average) is calculated by summing all of the numbers in the set and then dividing by the number of values in the set. When a data collection is arranged from least to largest, the median is the midway value. The mode is the number that appears the most frequently in a data collection.
Here,
given set of observation,
=2,4,6,8,10,30
=(2+4+6+8+10+30)/6
=10
The mean for given set of observation is 10.
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Graph using table of values, f (x) = 2x^2 + 4x - 5
Answer:
See explanation
Step-by-step explanation:
1. Select the solution set of the quadratic inequality.
By applying concepts of Quadratic Inequality and applying on graphs option C is correct.
How to plot Quadratic Inequality equations on graph?A quadratic inequality of the form
y>ax^2+bx+c
(or substitute <,≥ or ≤ for > ) denotes a section of the plane enclosed by a parabola.
Graphing the parabola is the first step in graphing a quadratic inequality. Then, depending on the inequality, fill in the area either above or below it.
If the inequality symbol is ≤ or ≥ , then the region includes the parabola, so it should be graphed with a solid line.
Otherwise, a dotted line should be drawn around the parabola to show that the region excludes the border if the inequality symbol is either <or >.
If it is > then the region above the dotted line is taken and if it is < the region below it is taken.
In the given question
y>(x-3)^2-1;
So the region above the dotted line should be taken which is option C.
By applying concepts of Quadratic Inequality and applying on graphs option C is correct.
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II. ALWAYS, SOMETIMES, OR NEVER TRUE. Write
A
S
N
123
2.
3.
4.
5.
6.
7.
8.
9.
10.
-If the statement is ALWAYS true
-If the statement is SOMETIMES true
-If the statement is NEVER true
A diameter of a circle is a chord.
The sum of any two sides of a triangle is greater than the third side.
The sum of the squares of the legs of a right triangle is equal to the square of its
hypotenuse.
The geometric mean of two numbers is the average of their product.
A minor arc of a circle is greater than 180°.
To find the length of an arc, divide the measure of the central angle then multiply it by the
area of the circle.
Dilation can either shrink or enlarge a figure.
A line can be bisected.
Supplementary angles are congruent.
If two pairs of corresponding angles of two triangles are congruent, then the triangles are
similar.
III. Problem-solving:
1. Always (by definition)
2. Always (triangle inequality)
3. Always (Pythagorean theorem)
4. Sometimes (take x=y=1 and x=4, y=3)
5. Never (by definition)
6. Sometimes (Only if area = circumference)
7. Sometimes (Consider when scale factor = 1)
8. Never (Lines extend infinitely)
9. Sometimes (Only if both angles are right angles)
10. Always (Angle-angle similarity)
How do you find the slope of 4x 5y 0?
The slope of the line is [tex]m = \frac{4}{5}[/tex]
What is meant by slope ?A line's direction and steepness are both expressed by the slope or gradient of the line, which is a numerical value. Slope is determined mathematically by the ratio of rise to run. It is referred to as the slope-intercept form of the equation if the equation of a line is expressed as y = mx + b. The slope of the line is measured by m. Additionally, the y-intercept is at a position where b is the b. (0, b). The slope and y-intercept of the equation y = 3x - 7 are, for instance, 3 and 0.
slope using standard form:
[tex]m = \frac{4}{5}[/tex]
slope m of a line of the form Ax + By = C, equals -[tex]\frac{A}{B}[/tex]
A = 4 , B = -5
[tex]m = - \frac{4}{-5}[/tex]
Therefore;
[tex]m = \frac{4}{5}[/tex]
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Thomas deposited $800 into two different accounts.
- He deposited $450 into an account that pays 4.5% simple interest.
- He deposited $350 into an account that pays 4.25% compounded annually.
If Thomas does not deposit additional money into the accounts and he doesn't withdraw any money from the accounts, which is closest to the total balance he will have in the accounts at the end of 2 years?
Group of answer choices
A. $820.38
B. $1,220.88
C. $871.79
D. $870.88
The total balance he will have in the accounts at the end of 2 years will be $870.88. The correct option is D.
What are simple interest and compound interest?In most cases, simple interest paid or received over a specific time period is a fixed percentage of the principal amount borrowed or lent. Borrowers must pay interest on interest as well as principal because compound interest accrues and is added to the accumulated interest from previous periods.
Given that Thomas deposited $450 into an account that pays 4.5% simple interest and deposited $350 into an account that pays 4.25% compounded annually.
The simple interest is calculated as,
SI = ( 450 x 4.5 x 2 )
SI = $40.5
Amount = 450 + 40.5
Amount = $490.5
The compound interest will be calculated as,
A = 350 ( 1 + 0.0425 )²
A = $380.38
The total balance in the account after 2 years will be,
Total balance = $490.5 + $ 380.38
Total balance = $870.88
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About what percent of 212 is 400?
Answer:
Step-by-step explanation:
If you're wondering about what percent of 212 is 400, the answer is 189.3%. This means that 400 is 89.3% higher than 212. It’s easy to see that, when compared side by side, 400 is a much bigger number, almost twice as great as 212. Put another way, if you divide 400 by 212, you get 1.89—that’s your answer! Clearly, 400 is a great deal larger than 212 and this difference in size can be expressed as a percentage increase of 189.3%.
Approximately 19.05% of 212 is 400.
Answer:
Step-by-step explanation:
Solution for 212 is what percent of 400:
212:400*100 =
(212*100):400 =
21200:400 = 53
Now we have: 212 is what percent of 400 = 53
Question: 212 is what percent of 400?
Percentage solution with steps:
Step 1: We make the assumption that 400 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=400$.
Step 4: In the same vein, $x\%=212$.
Step 5: This gives us a pair of simple equations:
$100\%=400(1)$.
$x\%=212(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{400}{212}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{212}{400}$
$\Rightarrow x=53\%$
Therefore, $212$ is $53\%$ of $400$.
the answer is 53 or 188.68%
How many solutions does the equation y 0 and y =- 5 have?
The system of equations has "no solution" because they are parallel lines.
What is the equation?The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.
In general, any equation of the form y = k, where k is a constant, represents a horizontal line that extends indefinitely in both directions.
The system of equations y = 0 and y = -5 describes two lines in the coordinate plane.
The first equation, y=0, is the x-axis.
The second equation, y=-5, is a horizontal line 5 units below the x-axis.
As we know, y = 0 and y = -5 are two parallel lines.
Therefore, no solution exists.
Hence, the system of equations has no solution.
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What are the 3 types of graphs?
Three commonly used types of graphs are bar graphs, Pie Chart, and line graphs. Every sort of graph is appropriate for displaying a one-of-a-kind kind of records.
Graph:
The term graph is a pictorial illustration of facts in an organized way. Charts are normally fashioned from different data factors that represent the link among two or more matters.
Bar Graph:
A bar graph is a chart that displays complete data in rectangular bars, with the height of the bars proportional to the values they represent. Chart bars can be displayed vertically or horizontally. A bar chart, also called a bar chart, is a graphical representation of grouped data. It is a method of data processing. Bar Graph are great for displaying data independent of each other and do not need to be in any particular order when displayed. Bars provide a visual indicator for comparing amounts in different categories. A bar chart has two lines, the horizontal and vertical axes (also called x-axis and y-axis), a title, labels, and a scale range.
Pie Chart:
Pie Chart is a chart type that visually represents data in a pie chart. It is one of the most commonly used charts for representing data with attributes of circle, sphere, and angle data to represent real-world information. The shape of the pie chart is circular, the circle represents all the data and the slices of the pie represent portions of the data and are plotted separately.
For Example: A full circle represents a value of 100. Divided into 10 slices or sectors. Different colors represent the ingredients used to prepare the cake. What is the exact amount of each component represented by a particular color in the pie chart below?
Solution: As you can see, the pie he is divided into 10 segments or sectors. To calculate the exact amount of ingredients added to the cake, divide the value across sectors.
H. 100 in sectors. So 100 ÷ 10 = 10.
Line graph:
A line chart is a graphical representation of changes that occur over a period of time. A line chart has a horizontal axis called the x-axis and a vertical axis called the y-axis. The x-axis usually has a period of time that measures the quantity of a particular thing or item on the y-axis. Line charts are useful for analyzing trends, whether the quantity on the y-axis is increasing or decreasing over time. A line chart clearly shows an uptrend or a downtrend.
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Can a function have no holes?
Yes, a function can have no holes when it has no common factor at both numerator and denominator.
What is a function?In Mathematics, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables.
This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable (domain) to an output variable (range).
What is a hole?In Mathematics, a hole can be defined as a point on the graph wherein the input value of a given function is undefined or not defined. This ultimately implies that, a hole is a point on the graph of a rational function where the input value causes both its numerator and denominator to be equal to zero (0).
In conclusion, we can reasonably infer and logically deduce that it is very possible for a function to have no holes.
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9.
Which graph shows a triangle and its reflection image across the y -axis?
A.
B.
C
D
Answer:D
Step-by-step explanation:
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEHELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
[tex]{\huge{G = \frac{P-2M}{2} }}[/tex]
Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. What was the total cost before sales tax? Round your answer to the nearest cen
The total cost before the sales tax was 19.828 pounds.
For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.
We have to determine the total cost before sales tax.
As per the question, we have prices as:
cost of turkey = 3.95 per pound
cost of egg cheese = 1.3 per pound
cost of egg salad = 0.89 per pound
The total cost of turkey = 3.8 × 3.95 = 15.01 pounds
The total cost of cheese = 2.2 × 1.3 = 2.86 pounds
The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds
The total cost before sales tax = 15.01 + 1.958 +2.86
Apply the addition operation, and we get
The total cost before sales tax = 19.828 pounds
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The question seems to be incomplete the correct question would be:
Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?
How do you solve a volume?
Volume of the rectangle is estimated as;
Volume = length x width x height
Define the term volume of the rectangle?A three-dimensional object's volume is a measurement of the amount of space it occupies. We'll look at the procedure for calculate a box's volume on this page.
The size of a box:
The volume of a cube or box can be determined if you understand how to multiply. A surface area of the a flat rectangle is equal to its length twice its width, however that was an earlier understanding for a flat, two-dimensional object.View the box illustration below:
As you can see, there are three dimensions to take into account when dealing with a box or other three-dimensional object: length, width, and height.
Thus, the volume is calculated using the formula length x width x height:
V = l x w x h
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How many real zeros does this graph have?
Answer:
3
Step-by-step explanation:
"Real zeros" are x-intercepts. So this graph crosses the x-axis three times. There are three real zeros.
Generally, you can (sloppy interpretation) interchange the words: zeros, solutions, roots and x-intercepts.
For any questions that ask for these, change y or f(x) to zero and solve it.
How do you simplify 3 to the 3rd power?
Simplifying 3 to the 3rd power gives 27.
What is power?Raising a base number to an exponent is referred to as "power" in mathematics. It indicates that "base number" and "exponent" are the two fundamental components of powers. The exponent shows how many times the base number has been multiplied, whereas the base number is defined as a number that is multiplied by itself. In a nutshell, power is a number that has exponents used to express it. It means that the same element has been multiplied repeatedly. In the context of powers, the following specific terminology may be used:
Whenever a number:
Squared – power is 2
cubed – Power is 3
“to the power of” – used for powers more than 3
3 to power 3= [tex]3*3*3=27[/tex]
Simplifying 3 to the 3rd power gives 27.
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write the equation of a line in slope intercept form that has a slope of 1/2 and passes through the point (-2,3)
Answer:
[tex]y=\frac{1}{2}x+4[/tex]
Step-by-step explanation:
[tex]y-3=\frac{1}{2}(x+2) \\ \\ y-3=\frac{1}{2}x+1 \\ \\ y=\frac{1}{2}x+4[/tex]
Answer: y = 1/2 x + 4
Step-by-step explanation:
1) They gave you the slope so: y= 1/2x + b
2) Goes through point (-2,3) so: 3 = 1/2(-2) + b
3) 3 = -1 + b
4) b = 4
5) answer: y = 1/2x + 4
brainliest pls
what is the value of x? x+3=8
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
[tex]x+3=8\\x=8-3\\x=5[/tex]
What is the formula to find the units?
A unit rate's component is always 1. To find the unit rate, divide the fraction by the fraction such that the denominator is equal to one.
The meaning of math units:
Of mathematics, a unit can be thought of as the right side point in a number or the number one. In this instance, the unit number in the number 6713 is 3. A unit is also a term that may be used to describe the common measurement units.
The dimensions of a unit:
The area of a unit as depicted on the subdivision or annexation map that created the unit is referred to as its size. The lot, tract, or parcel size divided by the number of dwellings is the unit size for two-family and multiple-family homes on a single unit.
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Which equations are true equations? Select all correct answers. Responses 92−72=20÷(7−2) 9 squared minus 7 squared equals 20 divided by open parenthesis 7 minus 2 close parenthesis 48 ÷ 8 + 2³ = 5 + 3² 48 ÷ 8 + 2³ = 5 + 3² 8⋅72−12=22−2⋅3 fraction numerator 8 times 7 over denominator 2 end fraction minus 12 equals 22 minus 2 times 3 15052=30−42−12
The true equations among the given expression are
48 ÷ 8 + 2³ = 5 + 3²(8 * 7) / 2 − 12 = 22 − 2 * 3 How to find the true equationTrue equation has same value at the left hand side and the right hand side of the equations after simplifying
The true equation is shown below
48 ÷ 8 + 2³ = 5 + 3²
applying PEMDAS
Exponents
48 ÷ 8 + 8 = 5 + 9
Division
6 + 8 = 5 + 9
Addition
14 = 14
(8 * 7) / 2 − 12 = 22 − 2 * 3
Parenthesis
56/2 - 12 = 22 - 2 * 3
Division
28 - 12 = 22 - 2 * 3
Multiplication
28 - 12 = 22 - 6
Subtraction
16 = 16
since the values in LHS = RHS the both equation are true
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satara was having fun playing poker. she needed the next two cards dealt to be hearts so she could make a flush (five cards of the same suit). there are 10 cards left in the deck, and three are hearts. what is the probability that the two cards dealt to satara (without replacement) will both be hearts? answer choices are in percentage format, rounded to the nearest whole number. 30% 7% 60% 26%
the probability that the two cards dealt to Satara (without replacement) will both be hearts is 7%
Total Number of cards left in the deck = 10
Number of hearts left in the deck = 3
Probability = (required outcome / Total possible outcomes)
Required outcome = hearts card in the deck
Without replacement, deal Satara two cards as follows:
The chance that the first card is a heart:
P(first card being hearts) = necessary result / all possible results
P(first card is a heart) equals 3/10.
The probability that the second card is a heart:
It cannot be replaced because:
Required result = (3 - 1). = 2
The total number of outcomes is (10 - 1) = 9 P(the second card is a heart) = 2 /9
The likelihood that the two cards are hearts is (3/10 x 2/9) = 6/90 = 0.0666 x 100% = 6.66%
= 7% (nearest whole number)
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Fine the slope of the line passing through the points (-4,-2) and (3,-2)
Is arithmetic mean 10 and standard deviation is 20 then coefficient of standard deviation?
The coefficient of variation is 200%.
The coefficient of variation is the ratio of the standard deviation to the mean. One form of measure of dispersion is the coefficient of variation. A number called a measure of dispersion is used to assess the degree of data variability. As a result, the coefficient of variation is used to assess how much data deviate from the mean or average value. The acronym CV stands for coefficient of variation.
Given that,
Arithmetic mean = 10
Standard deviation = 20
Therefore of coefficient of variation is SD/AM*100 = 20/10*100 = 200%
Hence, the coefficient of variation is 200%.
Correct question: If the arithmetic mean is 10 and the standard deviation is 20 then what is the coefficient of variation?
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A coach asked her athletes if they enjoy running. Sixty-five percent of the team do not like to run. Of those, 60% enjoy cycling, while 80% of those who enjoy running also enjoy cycling. The tree diagram shows how the athletes are divided into subgroups.
The tree diagram shows athletes branching off into two categories, enjoys running and does not enjoy running. Enjoys running branches off into two sub-categories, enjoys cycling and does not enjoy cycling. Does not enjoy running branches off into two subcategories, enjoys cycling and does not enjoy cycling.
NEED ANSWER ASAP!!! ty!
What is the total percentage of all the athletes who enjoy cycling?
22%
30%
40%
67%
Answer:
222222222222222222222%
Answer: A = 67%
Step-by-step explanation:
what is the solution of 10(w+3)=70
Answer: w = 4
Step-by-step explanation:
To solve the equation 10(w+3) = 70, we will work to get w by itself:
1. Divide by 10. This will get us closer to w.
(10( w + 3))/10 = 70/10
w + 3 = 7
2. We now have the equation w + 3 = 7. All we need to do now to get w by itself (or isolate it) is to subtract 3.
(w + 3) - 3 = 7 - 3
w = 7 - 3
w = 4
3. We can check our solution by inputting our found value, w = 4, into the equation.
10( 4 + 3 ) = 70
10(7) = 70
70=70
Because both sides of the equation are true, our solution of w = 4 is correct.
Answer: w = 4
Step-by-step explanation:
10(w+3)=70
10w + 30 = 70
10w = 40
w = 4
What is the slope when x =- 4?
Since, The given line is the line which is parallel to the y-axis that is a vertical line, It makes 90 degree with the positive x-axis, The slope is undefined that is tan(90).
What do you mean by equation?A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used. A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign. Like this: 2x - 4 Equals 2.
What do you mean by slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. Divide the difference in elevation between two points by the distance between them to find the percent slope, then multiply the result by 100. The term "rise" refers to the difference in elevation between two sites. The run is the separation between the points. Percent slope is therefore equal to (rise / run) x 100.
x=-4
This is a vertical line parallel to y-axis.
It makes 90 degree with positive x-axis in anti-clockwise direction.
slope = tan(90) = undefined.
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Can two equilateral triangles always be congruent give reasons to justify your answer?
No, two equilateral triangles need not to be always congruent with one another .
Justification of answer:
The reason is that although an equilateral triangle's angles are all 60 degrees, their corresponding sides are not necessarily the same .
Properties of an equilateral triangles:1. All 3 side of an equilateral triangles have same length .
2. All 3 angles of an equilateral triangles have same measure.
3. Each angles of an equilateral triangles is 60 degree .
4. Area of equilateral triangles = [tex]\frac{\sqrt{3} }{4} *a^2[/tex]
5 . Perimeter of an equilateral triangles = 3*a
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Is linear equation easy?
Linear equations are easy to solve .They are a type of mathematical equation that involve one or more variables, in which all terms are of the first degree.
The general form of a linear equation is Ax + B = C, where A, B and C are numerical coefficients and x is a variable. Linear equations can be solved by first rewriting the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. Then, the y-intercept can be determined by substituting in a value for x and solving for y. To find the slope, two points on the line must be chosen, and the formula m = (y2 - y1)/(x2 - x1) is used to calculate the slope. Once the slope and y-intercept are known, the equation can be written in its slope-intercept form and solved for x.
Linear equations can also be solved using the substitution method, where one of the variables is substituted with a numerical value. This method can be used when the equation is already written in its standard form, Ax + B = C. By solving for x, the value of x can be found and substituted back into the equation to find the value of C.
Finally, linear equations can also be solved using the elimination method, which is used when there are two linear equations with two unknowns. The two equations are added together, and the coefficients of one of the variables are eliminated. This method is useful for solving systems of linear equations.
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Question 7 *
2 points
Consider five-digit integers that have the following properties. Each of the digits is
1, 2 or 3, and each of 1, 2, 3 occurs at least once as a digit; also, the number is not
divisible by 2 nor divisible by 3.
What is the difference between the largest and the smallest of these integers?
O
Answer:
22098
Step-by-step explanation:
You want the difference between the largest and smallest 5-digit numbers whose digits are from the set {1, 2, 3} and include each of these at least once. The numbers cannot be divisible by 2 or 3.
DigitsThe number will be divisible by 3 when its sum of digits is a multiple of 3. Since 1, 2, and 3 are prescribed digits, the remaining two digits must not have a total of 3 or 6. The largest possible remaining digits are {2, 3}, and the smallest remaining digits are {1, 1}. (Using {3, 3} for the largest digits would give a number divisible by 3.)
The number will be divisible by 2 if the least significant digit is 2. The largest and smallest digits are not 2, so that will not be an issue.
LargestThe largest number will place the largest available digit in the place with the highest place value: 33221.
SmallestThe smallest number will place the smallest available digit in the place with the highest place value: 11123.
DifferenceThe desired difference is the difference of these numbers:
33221 -11123 = 22098 . . . . difference of largest and smallest
The difference between the two numbers will be 1998.
What is a number system?A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set in a consistent manner using digits or other symbols. In different numeral systems, the same sequence of symbols can represent different numbers.
Given that Consider five-digit integers that have the following properties. Each of the digits is 1, 2 or 3, and each of 1, 2, 3 occurs at least once as a digit; also, the number is not divisible by 2 nor divisible by 3.
The largest number will be 3211.
The smallest number will be 1213.
The difference between the largest and the smallest number will be calculated as,
D = 3211 - 1213
D = 1998
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