The solution of the subtraction is 639.
When subtracting 748 from 109, we notice that 748 is a much larger number than 109. This suggests that we will not be able to subtract 748 from 109 entirely, resulting in a negative answer. However, we can still proceed with finding out how many times 748 fits into 109.
To find out how many times 748 fits into 109, we perform a division operation. Divide 109 by 748, and you will get the quotient (whole number) and remainder.
109 ÷ 748 = Quotient (0) + Remainder (109)
In this case, the quotient is 0, and the remainder is 109. The quotient of 0 suggests that 748 does not fit into 109 even once without going into negative values. However, the remainder of 109 is crucial information that tells us the remaining amount after performing the subtraction operation.
Since 748 does not fit into 109 without resulting in negative numbers, we cannot find a straightforward answer to the subtraction problem. However, if we wanted to find the difference between the two numbers, we could express it as:
109 - 748 = -639
Here, the negative sign indicates that the result is negative. In this context, we can interpret the subtraction as "109 is 639 less than 748." So, while we cannot subtract 748 from 109 directly, we can determine the relative difference between the two numbers.
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The two-way frequency table shows the number of blue and green parrots and parakeets in a rescue facility.
Green Blue Total
Parrot 17 16 35
Parakeet 20 28 48
Total 37 44 83
Find the probability that a randomly selected bird is a parakeet given that it is green.
The probability that a randomly selected bird is a parakeet given that it is green is 54.1%.
What is meant by probability?The area of mathematics known as probability explores potential outcomes of events, along with the likelihoods and distributions of those occurrences.
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
Probability is a measure of the likelihood that an event will occur or the likelihood that something will happen. The likelihood that the coin will land with the heads side up after being tossed into the air is described using the word probability.
Let,
A be the Parakee
B be the Green
To find the probability that a randomly selected bird is a parakeet given that it is green.
That means P(A|B)
The number of birds that are both parakeet and green is n(A∩B)=20
The number of birds that are green is n(B)=37
Hence, using the conditional probability formula P(A∣B) = [tex]\dfrac{n(A\bigcap B}{n(B)}[/tex]
P(A∣B) = [tex]\dfrac{n(A\bigcap B)}{n(B)}[/tex]
P(A∣B) = 20/37
P(A∣B) = 20/37 × 100%
P(A∣B) = 54.1%
Thus, the probability that a randomly selected bird is a parakeet given that it is green is 54.1%.
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How many types has substitution?
Answer:
"Substitution comes in three flavors: nominal, verbal or clausal, depending on the item being substituted.
Step-by-step explanation:
Hope it helps!
how old am i if 400 reduced byy one half must subtracted from 257
You are 57 years old if 400 reduced by one half must subtracted from 257 is your age in the given arithmetic problem.
What is arithmetic?Mathematical arithmetic, which includes operations on numbers, is its foundation. Addition, subtraction, multiplication, and division are among these operations. The foundation of the subject "Maths" is laid by one of the crucial branches of mathematics: arithmetic.
Despite the fact that the subject involves numerous other modified operations, addition, subtraction, division, and multiplication are the three basic operations under the heading of arithmetic.
Let your age be x
[tex]$x=257-400\frac{1}{2}[/tex]
x = 257 - 200
x = 57
Hence, your age is 57 years old.
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PLS HELP WILL MARK BRAIN THINGY
The vertices of the image of the figure LMNO following a 90° rotation about the origin are; L'(3, 5), M'(6, 6), N'(3, 4), O'(6, 4), indicating that the corresponding segment L'O' and M'N' are on the lines x = 6 and x = 3, the correct option is option B.
B. x = 6 and x = 3
What is a rotation transformation?A rotation is the circular motion about a specified center of rotation of the points on the figure of the preimage.
The coordinates of the vertices of the figure LMNO are; L(-5, 3), M(-6, 6), N(-4, 6), O(-4, 3)
The transformation of the figure LMNO = 90° clockwise rotation about the origin.
The coordinate of the image of the point (x, y) following a rotation of 90° about the origin is the point (y, -x).
Therefore, the coordinates of the image of the figure LMNO following a rotation of 90° about the origin are found as follows;
L(-5, 3) [tex]\underset{\longrightarrow}{R_{90^{\circ}\ clockwise}}[/tex] L'(3, 5)
M(-6, 6) [tex]\underset{\longrightarrow}{R_{90^{\circ}\ clockwise}}[/tex] M'(6, 6)
N(-4, 6) [tex]\underset{\longrightarrow}{R_{90^{\circ}\ clockwise}}[/tex] N'(6, 4)
O(-4, 3) [tex]\underset{\longrightarrow}{R_{90^{\circ}\ clockwise}}[/tex] O'(3, 4)
The points L' and O' are colinear with the line x = 3, and the points M' and N' are colinear with the line x = 6
Therefore, the corresponding segment to the segment LO, L'O' lie on the the line x = 3, and the corresponding segment to the segment MN, M'N' lie on the line x = 6
The correct option is B. x = 6, and x = 3
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What is the formula of XYZ ²?
Therefore , the solution of the given problem of quadratic equation comes out to be XYZ² equals to x² + y² + z² – 2 x y + 2 y z – 2 z x .
Describe a quadratic equation.A quadratic quadratic in a specific factor is x ax2+bx+c=0, that is a quadratic equation. a 0. The fact that this equation is of second order guarantees that it contains lease one solutions according to the First Theorem of Algebra. Solutions could be straightforward or difficult. A quadratic equation is one that has four variables. This suggests that at least the word in it should be squared. One of the common formulas for solving quadratic equations is "ax2 + bx + c = 0." where the undefined variable "X" is represented by the quantitative coefficients or integers a, b, and c.
Here,
Given: XYZ ²
To find the value of XYZ ² ,
Thus,
=> XYZ ² = x² + y² + z² – 2 x y + 2 y z – 2 z x .
So, the solution for this XYZ² equals to x² + y² + z² – 2 x y + 2 y z – 2 z x .
Therefore , the solution of the given problem of quadratic equation comes out to be XYZ² equals to x² + y² + z² – 2 x y + 2 y z – 2 z x .
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a) What sum amounts to Rs. 3,600 in 2 years at the rate of 10% p.a.
At a 10% annual growth rate, the cash equals Rs. 3,600 in two years. Rs. 3960.
What does total principal amount mean?The principal is the sum you borrowed and are required to repay, while the interest is what you pay. For the majority of borrowers, the total monthly payment you make to your mortgage company includes additional expenses like homeowners taxes and homeowner's insurance that may be placed in an escrow account.
According to the given information:
here principal(P)=3600, R=10%, n= 2 year
amount A=p(1+R/100)ⁿ
3600(1+10/100)²
3600*11/10
=3690
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Please help me with my work
Answer: 27p^15 q^3
Step-by-step explanation:
The parallelogram has an area of 20 square inches. What are the dimensions of the parallelogram, to the nearest hundredth of an inch?.
The dimensions of the parallelogram to the nearest hundredth of an inch are 6.54 in and 3.06 in.
A Parallelogram is a flat shape with opposite sides parallel and equal in length.
properties of Parallelogram
The opposite sides are parallel and equal in lengthOpposite angles are equal, Angle A and angle B add up to 180°, so they are called supplementary angles.Trigonometry would be used to determine the base and the length of the parallelogram.
Base: cos 40 = adjacent /hypotenuse
0.7660 = adjacent / 4
adjacent = 4 x 0.7660
adjacent = 3.06 inch
Length = area/base
Length= 20/3.06
Length= 6.54 in
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Which of the following are quadratic equations? `(i)3x^2-5x+9=x^2-7x+3` (ii) `x+1/x=1` (iii) `x^2-3x=0`
Option (i) , (ii) and (iii) all represents quadratic equations as all of them is of degree 2 and coefficient of degree 2 is non-zero.
What is quadratic equation?Having the form a[tex]x^2[/tex] + bx + c = 0, quadratic equations are 2nd degree algebraic expressions. The meaning of the term "quad," is square, comes the word "quadratic." A quadratic equation is a "equation of degree 2," to put it another way.
Option i
3x^2-5x+9=x^2-7x+3
so the coefficent of degree 2 is 3-1 which is 2 which is non - zero value so this expression is a quadratic equation.
Option ii
x+ [tex]\frac{1}{x}[/tex] =1
=> [tex]x^2[/tex] -x +1=0
so the coefficent of degree 2 is 1 which is non - zero value so this expression is a quadratic equation.
Option iii
[tex]x^2[/tex] -3x=0
so the coefficent of degree 2 is 1 which is non - zero value so this expression is a quadratic equation.
so all the 3 option represents a quadratic equation.
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If a power is missing, then the coefficient of the term with that power is
Answer:
0
Step-by-step explanation:
if no term exists in an expression this means it has a coefficient of 0
What is a table rule?
Therefore , the solution of the giving problem of tables is a number designating the type of rule, a set of -1 tokens, and a ranking of the rule.
Describe a table.A mathematical table is a collection of numbers that shows the outcome of a calculation using multiple inputs. data with numbers and descriptions that is arranged in rows and columns. The table and 10 pattern are easy to remember. The following is the order of the numbers:2,4,6,8,10,12,14,16,18,20. Value maps are used to show how different data pieces are related to one another. You can incorporate the values expression table into your science lecture. Scientists and researchers use tables of values to store data and seek for patterns in that data. Then, this pattern is used in forecasting.
Here,
Tokens from the address input sequence are mapped to a standardized output sequence using a set of rules found in the rules table.
A rule is described as a collection of input tokens, a set of output tokens, a set of -1 (terminator), a number designating the type of rule, a set of -1 tokens, and a ranking of the rule.
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Identify the correct graph of the system of equations.
3x + y = 12
x + 4y = 4
A) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 12.
B) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.
C) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 12.
D) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.
Someone help me …
100 POINTS!!!
Answer:
$43
Step-by-step explanation:
165/5=33
33+10=43
Answer:
43
Step-by-step explanation:
165/5 =
33..
+10
43
How do you find the perimeter of a concave pentagon?
The perimeter of a concave polygon may be calculated by summing the lengths of all its sides.
What is perimeter?A perimeter is a closed path that surrounds, encompasses, or outlines a two-dimensional shape or a one-dimensional length. The perimeter of a circle or ellipse is its circumference. The perimeter calculation has a variety of practical applications. The perimeter of an object is the distance surrounding it. Your house, for example, has a fenced-in yard. The perimeter of the barrier is its length. A perimeter is the distance between the edges of a two-dimensional form. It is sometimes defined as the total of the object's side lengths. The perimeter of a shape is the algebraic sum of its side lengths. We have equations for the various forms in geometry.
Here,
The perimeter of a concave polygon may be calculated by summing the lengths of all its sides.
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From Belmont, how much farther is it to riverside than yardley?
On solving the provide question, based on the congruent triangles properties, we got to know that x= 76° and 90°.
what are congruent triangles?Congruent triangles are two triangles that are identical in terms of their size and form. The two congruent triangles remain congruent whether you rotate, flip, or flip one of them. If two triangles have the same number of sides, then their angles and congruence must match.
As a result, we can determine that two triangles are congruent if all three of their sides are equal. We also understand that if there is a side, an angle between the sides, and a third side that is congruent, the three sides are congruent. which means sides, corners, and sides.
For green -
=> x = 76° ( both side are same)
For orange -=> x = 90°
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What is the additive inverse of 7 by 8?
The additive inverse of 7/8 is -7/8.
This can be seen when using the additive inverse formula. The additive inverse formula states that if a number is denoted as x, then the additive inverse would be -x. Therefore, when applied to 7/8, it would be -7/8. This can also be seen when adding the two numbers together. When 7/8 is added to -7/8, the sum is 0. This can be seen in the calculation below:
7/8 + (-7/8) = 0
7/8 - 7/8 = 0
0/8 = 0
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Simplify.
(-3ab3)4
thanks
Answer: -12ab^3
Step-by-step explanation: (-3ab^3) 4 -12ab^3
Examine parallelogram RSTU below.
R
S
(6x-9)⁰
(3y-x)°
0
mZR-27⁰
(2y-1)⁰
Om2S-135°
OmZT=45°
OmZU-99⁰
(4x+39)⁰
Determine which of the following values are correct. Select three that apply.
Ox-15
Oy-23
U
T
Answer:
y = 23 , ∠ S = 135° , ∠ T = 45° are correct
Step-by-step explanation:
the opposite angles of a parallelogram are congruent , then
6x - 9 = 4x + 39 ( subtract 4x from both sides )
2x - 9 = 39 ( add 9 to both sides )
2x = 48 ( divide both sides by 2 )
x = 24 ≠ 15
and
3y - x = 2y - 1 , that is
3y - 24 = 2y - 1 ( subtract 2y from both sides )
y - 24 = - 1 ( add 24 to both sides )
y = 23 ← is correct
∠ R = 3y - x = 3(23) - 24 = 69 - 24 = 45° ≠ 27°
∠ S = 6x - 9 = 6(24) - 9 = 144 - 9 = 135° ← is correct
∠ T = ∠ R = 45° ← is correct
∠ U = ∠ S = 135° ≠ 99°
Suppose a dog toy manufacturer packs 5 solid balls in a cylindrical container. The radii
of the balls and the cylinder are each 10 cm, and the height of the cylinder is 100 cm.
How much empty space is within the container when the balls are packed within it?
You may round your answer to two decimal places.
Empty space is within the container is 90.The volume of the object from the volume of the container in which it is packaged can be used to determine the empty space in a container.
How can you determine how much room is empty?The volume of the object from the volume of the container in which it is packaged can be used to determine the empty space in a container.
The cylinder will have an interior height of 9 inches (three times the diameter of the balls) and an interior diameter of 3 inches (1.5 inch radius). It takes up around 21.2 cubic inches of the cylinder when the balls are not there.
The volume of the object from the volume of the container in which it is packaged can be used to determine the empty space in a container.
According to question:- 100 - 10 = 90.
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Brody made 7/8 lb of granola he puts 1/4 lb of granola into each bag how many bags will he be able to fill completely
3.52bags will be filled completely with 7/8 lb of granola and 1/4 lb of granola
What is word problems?
Word Problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols. Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.
To get the number of bags, we simplify and use the quotient, that is:
We divide the quantity of granola over the number of bags
=(7 / 8 pounds) / (1 / 4 pounds)
=0.88/0.25
= 3.52 bags
Hence, The number of bags that will be filled completely is 3.52 bags
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What is the measure of y? 3 27 y Z * A z = [?] Give your answer in simplest form.
The required measure of x would be 9√10 units for the attached figure.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
The right triangle is given in the question, as follows:
We have to determine the measure of x for the attached figure.
According to Euclidian theorem, the required solution would be as:
x² = 27 × (27+3)
x² = 27 × 30
Apply the multiplication operation,
x² = 810
Apply the square root property for both sides
x = 9√10
Therefore, the required measure of x would be 9√10 units.
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The question seems to be incomplete the correct question has been attached below.
The slope of the line below is -3. Write a point-slope equation of the line using the coordinates of the labeled points (5,-7)
The point-slope equation of the line for the given slope and coordinates is found as : y = -3x - 16.
Define the term point-slope equation?A line's equation written using a single point here on line and the line's slope is referred to as the point-slope form. The slope has been the rise with run, or the proportion of the change there in y values out over changes in the x values, and the point form is denoted as (x,y).For the stated question.
The slope of the line m = -3.
Coordinates = (5,-7)
The general point-slope equation is given as:
y - y1 = m (x - x1)
y - 5 = -3(x + 7)
y - 5 = -3x - 21
y = -3x - 16
Thus, the point-slope equation of line for the given slope and coordinates is found as : y = -3x - 16.
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Find the product of 1/2a and -8/3b.
using distributive law
Find the slope of the line through the pair of points: (7,5)(-8,4)
Answer:1/15
Step-by-step explanation
formula = y2-y1/x2-x1;
x1=7;y1=5; x2=-8;y2=4
4-5/-8-7=-1/-15
=1/15
there are 208 students going on the school field trip each bus can carry 32 students how many buses will be needed
Answer:
7 busses
Step-by-step explanation:
208students divided by the number of students per bus 32The answer is 6.5 you can't split a kid in half so you will need to take 7 bussesThis relationship can also be shown in a table. Complete the equation that represents the relationship between n and w.
Answer: w=10n+8
Step-by-step explanation:
6x10+8=68
7x10+8=78
8x10+8=88
9x10+8=98
PLS HELP FAST! At what value of x does the function f(x)=2(3)^(x) overtake the function g(x)=2x^(2)+4x?
x=2 is value of x does the function f(x).
An easy definition of a function?
As a set of inputs with one output for each, a function is defined as a relationship between them.
In plain English, a function is an association between inputs in which each input is connected to precisely one output. a unique relationship in which each input only results in one outcome. Where x is the input value, it is frequently expressed as "f(x)". as in f(x) = x/2 ("f of x equals x divided by 2") Each input "x" yields a single output "x/2," indicating that it is a function: • f(2) = 1.
X f(x) g(x)
1 6 6
2 12 16
3 18 30
4 24 48
We can see from this table that f(x) is greater than g(x) starting from x=2
Therefore I think x=2 is your answer.
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A website charges $3 for each movie you download. They also charge a one-time sign-up fee of $14.99. What is the output variable?
The Output Variable is Total cost represented by c(m).
What is domain and range?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Given:
A website charges $3 for each movie you download.
They also charge a one-time sign-up fee of $14.99.
So, the input variable will be m which shows the number of movies.
and, the output variable will be c which shows the total cost.
Then, the equation models the cost c(m), is c(m)=3m+14.99
Now, putting the values for m = 0, 1, 2, ....
c(0)= 4.99, c(1)= 17.99, c(2)= 20.99
Hence, the output variable is total cost.
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How many solutions exist for a given equation?
If solving an equation provides a statement that is true for a single value of the variable, such as x = 3, the problem has one solution. If solving an equation provides a statement that is always true, such as 3 = 3, the equation has an unlimited number of solutions.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.
Here,
If solving an equation provides a statement that is true for a single variable value, such as x = 3, the problem has a single solution. If solving an equation produces a statement that is always true, such as 3 = 3, the equation has an unlimited number of solutions.
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Sunflower oil is a cooking ingredient that can be used as a substitute for olive. The density of sunflower oil is 0.925 grams per cubic centimeter. A farmer would like to sell bottles of sunflower oil that contain 370 grams of oil. What is the volume of the smallest container that holds 370 grams of oil?
The volume of the smallest container that holds 370 grams of oil is
400 cm³.
What is density?Density is mass per unit volume.
We have,
The density of sunflower oil = 0.925
Mass of sunflower oil = 370 grams
Now,
Density = Mass / Volume
So,
The volume of the smallest container that holds 379 grams of oil.
= Mass of the sunflower oil / Density of the sunflower oil
= 370 / 0.925
= 400 cm³
Thus,
The volume of the container that holds 379 grams of oil is 400 cm³.
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