The numbers 0.5, 0.62, 3.14, 19% are rational numbers, while -13 is an integer
How to determine the classification of the real numbers?The numbers are given as:
0.5, −13, 0.62, 3.14, 19%
Numbers that can be represented as a fraction of two integers are rational numbers
The given numbers can be represented as a fraction of two integers
i.e.
0.5 = 5/10
0.62 = 62/100
3.14 = 314/100
19% = 19/100
This means that 0.5, 0.62, 3.14, 19% are rational numbers, while -13 is an integer (because it has no decimal point and it is negative)
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how do i know which one?
The inequality value that would be able to show/x/ ≤ 5 is option A
What is inequality?
In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.
The symbol that we have is telling us that the value of the x would be less than or it would be seen to be equal to five.
We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A
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Points A(-2,-3),B(-2,4),and C(3,6) are three vertices of parallelogram ABCD. Opposite sides of a parallelogram have the same length. Draw the parallelogram in the coordinate plane and label the coordinates of the fourth point.
Given:
Points A(-2,-3),B(-2,4),and C(3,6) are three vertices of parallelogram ABCD.
As we know, the opposite sides of the parallelogram are parallel and congruent
To draw the parallelogram, we will draw the points and connect the sides
AB, AC, and BC
then, draw two lines parallel to AB from C and BC from A, the intersection will give the point D
The graph of the parallelogram will be as shown in the following picture
As shown the coordinates of the fourth point D = (3, -1)
Given the points P (3, 5) and Q (-5, 7) on the cartesian plane such that R (x, y) is
the midpoint of PQ, find the equation of the line that passes through R and
perpendicular
to PQ.
Answer:
-22=22
Step-by-step explanation:
3,5-5,7=
-22/22
The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.
The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.
The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.
So, the coordinates of the midpoint R are (-1/2, 6).
Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:
(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)
Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:
(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))
Simplifying the equation:
(y - 6) = (2 / -8) \(\times\)(x + 1/2)
(y - 6) = -1/4 \(\times\)(x + 1/2)
4(y - 6) = -x - 1/2
Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
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PLS HELP -
transponder for a toll bridge costs $22.50. With the transponder, the toll is $4 each time you cross the bridge. The only other option is toll-by-plate, for which the toll is $5.25 each time you cross the bridge with an additional administrative fee of $1.25 for each crossing. How many times would you need to cross the bridge for the costs of the two toll options to be the same?
You need to cross the bride _ times?
Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.
What is meant by linear function ?To find out how many times you would need to cross the bridge for the costs of the two toll options to be the same, we need to set up an equation.Let x be the number of times you need to cross the bridge.For the transponder option: 22.50 + 4x = costFor the toll-by-plate option: 5.25x + 1.25x = costSince the costs of the two options need to be equal, we can set the two equations equal to each other and solve for x:22.50 + 4x = 5.25x + 1.25x + 22.504x = 5.25x + 1.25x0.75x = 22.50x = 30So you would need to cross the bridge 30 times for the costs of the two toll options to be the same.To learn more about linear function refer:
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some adults and children are watching a musical there are n children there are 25 fewer adults
According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99
A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.
B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.
To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.
Note: The given question is incomplete. The complete question is:
Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.
A) find the number of adults in terms of 'N'.
B) if there are 124 children how many adults are there?
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which of the following could be the length of the side of a triangle
A :3,10 and 15
B :3,1 and 2
C :11,9, and 20
D :10,4, and 12
Toula owns the Pita Pan restaurant. She needs to order supplies for the upcoming weekend rush. She needs 150 bags of pita bread. The bread come in crates of 50, and each crate costs $15.00. She also needs 65 containers of hummus dip. There are 5 containers in a box, and each box costs $20.00 What expressions can Toula use to determine how much the pita bread and hummus dips will cost? What will the total be?
The total cost of the pita bread and hummus dips will be $305.00.
To determine the cost of the pita bread and hummus dips, Toula can use the following expressions:
Cost of pita bread:
Number of crates needed = (150 bags) / (50 bags/crate) = 3 crates
Cost of each crate = $15.00
Total cost of pita bread = (Number of crates needed) × (Cost of each crate) = 3 crates × $15.00/crate = $45.00
Cost of hummus dips:
Number of boxes needed = (65 containers) / (5 containers/box) = 13 boxes
Cost of each box = $20.00
Total cost of hummus dips = (Number of boxes needed) × (Cost of each box) = 13 boxes × $20.00/box = $260.00
Therefore, the expressions Toula can use to determine the costs are:
Cost of pita bread = 3 crates × $15.00/crate
Cost of hummus dips = 13 boxes × $20.00/box
The total cost will be the sum of the costs of pita bread and hummus dips:
Total cost = Cost of pita bread + Cost of hummus dips
Total cost = $45.00 + $260.00
Total cost = $305.00
Therefore, the total cost of the pita bread and hummus dips will be $305.00.
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What is the answer help
Answer: 162°
Step-by-step explanation:
To find the answer to this question, we need to find what 45% of 360 degrees (a circle) is.
First, a percent divided by 100 becomes a decimal.
45% / 100 = 0.45
Next, "of" means multiplication in mathematics.
0.45 * 360 = 162
The central angle will be 162°.
Identify the correct equation of the graph
Answer:
The correct function is
\(f(b) = {b}^{2} - 4\)
khan academy
what is the domain of g?
Answer:
set of all real numbers
Step-by-step explanation:
What is the probability that the hand is a three of a kind? A three of a kind has 3 cards of the same value. The other two cards do not have the same value as each other and do not have the same value as the three with the same rank. For example, {4♠, 4♦, 4♣, J♠, 8♥} is a three of a kind.
There are 13 ways to select the rank for the three of a kind. Once the rank has been selected for the three of a kind, there are C(4, 3) ways to select the three cards from the four cards with that rank. There are 12 ranks remaining for the other two cards. There are C(12, 2) ways to pick the ranks for the two other cards. Once the ranks have been chosen for those cards, there are four ways to pick the suit for the first card and four ways to pick the suit for the second card. The total number of 5-card hands that are a three of a kind is 13 C(4, 3) C(12, 2)⋅4⋅4.The probability that a random 5-card hand is a three of a kind is
13C(4, 3) C(12, 2)⋅4⋅4 / C(52, 5) = 88 / 4165
The probability that the hand is a three-of-a-kind is 88/4165.
There are 13 ways to select the rank for the three-a-kind. After that, we will have C(4, 3) ways to select the three cards from the four cards that have to be selected for the three of a kind. There are 12 ranks remaining for the other two cards. Then there are C(12, 2) ways to pick the ranks for the two other cards. After the ranks have been chosen for those cards, there are C(4, 1) ways to pick the suit for the first card and C(4, 1) to pick the suit for the second card. Hence, the total number of 5-card hands which are three-of-a-kind is 13 C(4, 3) C(12, 2)⋅C(4, 1)⋅C(4, 1).
Hence, the probability that a random 5-card hand is a three-of-a-kind is
C(13, 1) C(4, 3) C(12, 2) C(4, 1) C(4, 1) / C(52, 5)
= 13 . C(4, 3) C(12, 2) ⋅ 4 ⋅ 4 / C(52, 5)
= 88 / 4165
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The complete question is -
What is the probability that the hand is a three-of-a-kind? A three-of-a-kind has 3 cards of the same value. The other two cards do not have the same value as each other and do not have the same value as the three with the same rank. For example, {4♠, 4♦, 4♣, J♠, 8♥} is a three of a kind.
A line intersects the points (8, 2) and (12, -10). What is the slope of the line in simplest form? m = [?]
Work Shown:
\((x_1,y_1) = (8,2) \text{ and } (x_2,y_2) = (12,-10)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-10 - 2}{12 - 8}\\\\m = \frac{-12}{4}\\\\m = -3\\\\\)
-------------------------------------------------------------------------------------------------------------
Answer: \(\textsf{y = -3}\)
-------------------------------------------------------------------------------------------------------------
Given: \(\textsf{Goes through (8, 2) and (12, -10)}\)
Find: \(\textsf{The slope of the line}\)
Solution: In order to determine the slope of the line we need to use the slope formula where we just plug in the values and simplify.
Plug in the values
\(\textsf{y = }\frac{y_2 - y_1}{x_2 - x_1}\)\(\textsf{y = }\frac{-10 - 2}{12 - 8}\)Simplify the expression
\(\textsf{y = }\frac{-12}{12 - 8}\)\(\textsf{y = }\frac{-12}{4}\)\(\textsf{y = -3}\)Therefore, the slope of the line that fits the description that was provided in the problem statement is -3.
Tickets for a concert are $8 for children and $12 for adults. How many child tickets and adult tickets can be purchased for a total cost of $100?
Answer:
5 Adults Tickets5 Child Ticketscan be sold for a total of $100
Step-by-step explanation:
We can do this, 8+12=20
20x5=100
So, we have to do...
20x5=100$
That means, that there can be 5 Tickets of Adults sold and 5 Tickets of children sold in total for 100 dollars.
Thanks!
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Describe the transformations of the following equation:
Captionless Image
reflect over x-axis, left 2, up 2
reflect over y-axis, left 2, up 2
left 2, up 2
reflect over x-axis, right 2, up 2
The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.
The given function is a logarithmic function and it is undefined at x = 0.
First, let us understand the logarithmic function:
A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.
We are given:
p(x) = log 5x
substitute x = 0 in the above equation, we will get;
p(0) = log 5 × 0
p(0) = log 0
p(0) = undefined
Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.
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Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.
Captionless Image
p(-2) > p(0)
p(-2) < p(0)
p(-2) and p(0) cannot be compared because p(-2) is undefined.
p(-2) and p(0) cannot be compared because p(0) is undefined.
What is the range of f(x) = sin(x)?
the set of all real numbers -2pi≤y≤2pi
the set of all real numbers -1≤y≤1
the set of all real numbers 0≤y≤2pi
the set of all real numbers
Answer:
the set of all real numbers -1≤y≤1
Step-by-step explanation:
according to the definition of 'sin'-function, the max value of it is '+1' and the min is '-1'. Finally, the correct answer is B. the set of all real numbers -1≤y≤+1.
f(x)=−4x−9 when x=−5.
Answer:
11
Step-by-step explanation:
x=-5
-4(-5)-9
=20-9
=11
Hope this helps, and marking me as a brainliest would help me too;)
Answer:
11
Step-by-step explanation:
We just have to plug in -5 for x and when we do so we get f(-5) = -4 * (-5) - 9 = 20 - 9 = 11.
If the soccer field is 60 yards by 100 yards and the team has to run around it twice how many yards will they run?
Answer:
640 yards
Step-by-step explanation:
60(4)+100(4)=640
they will run each length 4 times to create 2 laps
(60+100+60+100)+(60+100+60+100)
lap 1 + lap 2
Estimate the third quartile (Q3) of the distribution.
O Q3 is approximately 18 minutes.
Q3 is approximately 41 minutes.
Q3 is approximately 32 minutes.
Q3 is approximately 12 minutes.
Answer:
Why do these have to be so hard
Step-by-step explanation:
how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly
The interest is 16% compounded semi-annually, is Rs. 121,179.10.
To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.
Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)
So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:
Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.
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Answer this question
The domain and range for the function shown in the graph above include the following:
D. D: [-∞, ∞]
R: [-10, ∞]
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.
In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [-∞, ∞] or all real numbers.
Range = [-10, ∞] or y ≥ -10
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javon spent $687 on pokemon cards. energy cards cost $6 and dragon cards cost $5. if he brought a total of 127 packs, how many of each pack did he buy?
57 Energy
70 Dragon
52 + 75 = 127
52 x 6 = 312
75 x 5 = 375
312 + 375 = 687
Some chocolate, strawberry, and vanilla doughnuts were placed in a box. Some have a creamy center, and some do not. Suppose one of the doughnuts were chosen randomly from all the doughnuts in the box. According to the table below, if it is known to be strawberry, what is the probability that it does not have a creamy center? Chocolate Strawberry Vanilla Creamy center 6 9 3 No creamy center 6 3 9 A. 25% B. 75% C. 20% D. 50%
A because 25 percent of tje
Step-by-step explanation:
your welcome
20/3 = ?/6 what is the answer to the question mark
Answer:
40. 3*2 is equal to 6 so 20*2 equals 40
The value of the missing number in the equation is 40.
What is the value of the missing number?Given the equation in the question:
20/3 = ?/6
Let x represent the missing number:
Hence:
20/3 = x/6
To solve for x, we cross-multiply and simplify:
20/3 = x/6
Cross multiplying, we get:
3 × x = 20 × 6
Multiply 3 and x:
3x = 20 × 6
Multiply 20 and 6:
3x = 120
Divide both sides by 3:
x = 120/3
x = 40
Therefore, the value of x is 40.
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Simplify the slope of BD
Answer:
Slope of BD
Using B( b , c ) and D(a ,0)
Slope = 0 - c / a - b
= - c / a - b
Hope this helps you
the answer is : c / a - b
you use B( b , c ) and D(a ,0)
an area of a rectangle city park is 1556 square miles the width of the park is 3/7 miles what is the length in miles of the park
Answer:
457
Step-by-step explanation:
value of 1556
explanion
Write the trigonometric expression in terms of sine and cosine, and then simplify. sin(u) cot(u) cos(u)
Answer:
\(sin(u) cot(u) cos(u) = cos^{2}(u)\)
Step-by-step explanation:
\(sin(u) cot(u) cos(u)\)
First, let us simplify cot(u) as follows:
cot (u) = \(\frac{1}{tan(u)}\)
also, \(tan (u) = \frac{sin (u)}{cos(u)}\)
∴ \(\frac{1}{tan(u)} = \frac{1}{\frac{sin(u)}{cos(u)} } = \frac{cos(u)}{sin(u)}\)
Hence the original expression becomes:
\(sin(u).\frac{cos(u)}{sin(u)} .cos(u)\)
Next, sin(u) will cancel each other out, leaving the expression below:
\(cos(u) . cos(u) = cos^{2} (u)\)
hence:
\(sin(u) cot(u) cos(u) = cos^{2}(u)\)
I also found a similar expression with a plus (+) sign after the "sin(u)" online, and if this was your question, the solution will be as follows:
sin(u)+ cot(u) cos(u)
\(sin(u) + \frac{cos(u)}{sin(u)} . cos (u)\)
\(= sin(u) + \frac{cos^{2} (u)}{sin(u)}\)
\(sin(u).\frac{sin(u)}{sin(u)} + \frac{cos^{2}(u) }{sin(u)} \\\) (note that \(\frac{sin(u)}{sin(u)} = 1\), hence multiplying it with sin(u) does not change anything in the expression.)
\(\frac{sin^{2} (u)}{sin(u)} + \frac{cos^{2}(u) }{sin(u)} = \frac{sin^{2}(u) + cos^{2}(u) }{sin(u)}\)
Now the relationship sin²(u) + cos²(u) = 1
Therefore:
\(\frac{sin^{2}(u) + cos^{2}(u) }{sin(u)} = \frac{1}{sin(u)}\)
Hence, \(sin(u)+ cot(u) cos(u) = \frac{1}{sin(u)}\)
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
please help me with this thank you
(9) The slope of a line perpendicular to the line, f(x) = 0.75x + 6 is - 4/3.
(10) The slope of a line parallel to this line, y = 10 -8x is -8.
What is the slope of a line perpendicular to the line?The slope of a line perpendicular to the line is the negative reciprocal of the slope of the line equation.
Question 9.
f(x) = 0.75x + 6
where;
0.75 is the slope of the line6 is the interceptThe slope of a line perpendicular to this line = -1/0.75 = -100/75 = -4/3
Question 10.
For the equation of another line, y = 10 - 8x
The slope of a line parallel to this line is equal to the slope of this line and it is calculated as follows;
y = 10 - 8x
where;
-8 is the slope10 is the y interceptslope of a line parallel to the line = -8
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Theo solved n + 5 = 11 for the unknown. The steps he took are shown.
He started with 5 tiles.
5 tiles.
Then he added tiles as he counted up to 11.
6 tiles.
He realized he added 6 more tiles to his original 5 to make 11. So he found the unknown to be 6.
How could Theo check his work? Check all that apply.
He could substitute 5 for n in the original equation and add.
He could substitute 6 for n in the original equation and add.
He could subtract 5 from 11 and check that the answer is 6.
He could subtract 11 from 5 and check that the answer is 6.
He could put all the tiles in 1 pile to count them to see if there are 11 in all.
Answer:
the second one, the fourth one, and the fifth one
Step-by-step explanation:
A line goes through the points (0, -5) and (-3, -3). Find the slope, and then use the point that is the y-intercept to write the equation of the line in slope-intercept form. y= (2/3)x+ 5 y= -(2/3)x– 5 y= -(8/3)x– 5 y= (8/3)x– 5
Answer:
y = -(2/3)x - 5
Step-by-step explanation:
y-int = -5
m = rise/run
m = (-5-(-3))/(0-(-3))
m = -(2/3)
therefore,
y = -(2/3)x - 5