A perfect interval which identifies the distance between the first note of a major scale and given unison, 4th, 5th or either the octave. Those given intervals can be given in the extra theoretical name as “perfect”.
Perfect intervals has only basic form. The first (also called prime or unison), fourth, fifth and eighth (or octave) are all known as perfect intervals. These intervals are known as "perfect" since these types of intervals sound and they provide the certain frequency ratios which are simple as whole numbers. Perfect intervals sound "perfectly consonant" . that means which are played together, there is a sweet tone to the interval. It sounds perfect or resolved. Whereas, a dissonant which sounds and feels tense and in need of their resolution.
Interval qualities are classified as major, minor, harmonic, melodic, perfect, augmented, and diminished. since ,lower a perfect interval by a half step it becomes a diminished and when it is raised it to a half step it becomes augmented of an interval .
When it is in lower and provides a major non-perfect interval a half step and it becomes a minor interval then if we raise it to a half step it becomes augmented level then if we raise to lower a minor interval by a half step it becomes diminished level , then if we raise a minor level interval a half step it becomes a major level interval.
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Two parallel lines are cut by a transversal as shown below.
Suppose m<7=107 . Find m<1 and m<4 .
The angle measures : m∠1 = 107° and m∠4= 73°
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
Given:
There are 2 parallel lines
A transversal cuts them
∠5 and ∠7 are corresponding angles
Corresponding angles are equal in measures
m∠5 = m∠7
m∠7 = 107°
m∠5 = 107°
∠1 and ∠7 formed a pair of alternate exterior angle.
And m∠1 = m∠7
∠1 and ∠4 formed a pair of linear angle.
The sum of the measures of the linear angles is 180°
m∠1 + m∠4 = 180°
Substitute ∠1 by 107°
m∠4 + 107° = 180°
m∠4 = 180 - 107
m∠4= 73°
Therefore, m∠1 = 107° and m∠4= 73°
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Solve the system of linear equations by substitution. Check your solution.
3
1. y = -2x + 4 and -x +3y = -9
2. 3 over 4x -5y = 7 and x= -4y +12
3. 5x - y= 4 and 2x + 2y = 16
4. 2x + 3y = 0 and 8x +9y = 18
The domain and scope of the identity function are the same. Equation for the identity function is f(x) = x, or y = x.
What is function?An statement, rule, or law in mathematics that specifies the connection between an independent variable and a dependent variable (the dependent variable). A relationship between a group of inputs and one output each is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. Y=X2 is an illustration of this. You only receive one output for y if you enter anything for x. The fact that x is the input value leads us to argue that y is a function of x.
identity function are the same.
Equation for the identity function is
f(x) = x, or y = x.
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Solving provided question, we can say that the given linear equation is y = -2x + 4 and -x -x +3(-2x + 4 ) + 9 = x = 7/3
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
the given linear equation is
y = -2x + 4 and -x +3y = -9
now,
-x +3(-2x + 4 ) + 9
-x - 6x - 12 +9 = 0
-7x = -3
x = 7/3
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The scatter plot shows the winning times, in minutes, in a track event over eight consecutive years.
Scatter plot with x axis labeled Time in Years and y axis labeled Winning Time, with points at 1 comma 5 and 4 tenths, 2 comma 5, 3 comma 4 and 6 tenths, 4 comma 4 and 9 tenths, 5 comma 4 and 1 tenth, 6 comma 3 and 9 tenths, 7 comma 3 and 6 tenths, and 8 comma 3 and 3 tenths.
Predict the winning time in year 10 of the race.
1.52 minutes
1.98 minutes
2.83 minutes
3.01 minutes
The predicted winning time in year 10 of the race is 2.83 minutes.
How to obtain the equation for the line of fit?The equation for the line of fit is obtained inserting the points of the data-set into a linear regression calculator.
Given:
From the scatter plot, the points are given as follows:
(1, 5.4), (2, 5), (3, 4.6), (4, 4.9), (5, 4.1), (6, 3.9), (7, 3.6), (8, 3.3).
Inserting these points into the linear regression calculator, we get
y = -0.29x + 5.67.
Now, for x= 10 year
y = -0.29(10) + 5.67 = 2.77 minutes.
which is closest to 2.83 minutes.
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i need help on both sections PLEASE!!!
Answer:
Step-by-step explanation:
a.3x-2
b.3x+2
c.3x-2
d.3x-2
so. the answer are a, c, d equivalent to 3x-2
Susan has a rectangle and a right triangle.
• The length of the rectangle is 4 more than its width, w.
.
• The length of the shorter leg of the triangle is equal to the rectangle's
width.
• The length of the longer leg of the triangle is twice the length of the
rectangle.
Answer:
A. 2w² + 8w
Step-by-step explanation:
rectangle: A = w(w+4) = w² + 4w
triangle: A = 1/2(2(w+4)(w)) = 1/2(2w+8)(w) = 1/2(2w²+8w) = w² + 4w
Total Area = w² + 4w + w² + 4w = 2w² + 8w
solve 2+n=0(mod6)
solve2+(3+n)=1 (mod6)
Solving the modular arithmetic will result to
2 + n = 0 (mod 6): n = -22 + (3 + n) = 1 (mod 6): n = -4What is modular arithmetic?The term modular arithmetic is the arithmetic that works with whole numbers in a such that, following division by a modulus, all numbers are replaced by their remainders.
Solving the modular arithmetic: 2 + n = 0 (mod 6)
2 + n = 0 (mod 6)
n = -2
Solving the modular arithmetic: 2 + (3 + n) = 1 (mod 6):
2 + (3 + n) = 1 (mod 6)
5 + n = 1 (mod 6)
n = 1 - 5
n = -4
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Given that a 19. 00 g milk chocolate bar contains 11. 50 g of sugar, calculate the percentage of sugar present in 19. 00 g of milk chocolate bar keeping in mind that the answer should have four significant figures (two decimal places). Express your answer numerically to four significant figures
The percentage sugar of 19. 00 g milk chocolate bar is 60.53%. The value of 60.53 is rounded to two decimal points.
What does mean of two decimal points?
To make decimal values simpler to grasp and utilise in calculations, they are frequently rounded off. The second place to the right of the decimal point, or the hundredths place, is used to round a decimal value to two decimal places. For instance, you can round 2.83620364 to two decimal places as 2.84 and 0.7035 to two decimal places as 0.70. If you look closely, you'll see that we changed 2.83 to 2.84 by adding a single digit to the first number's hundredths position. However, we did not add 1 to the digit at the hundredths place of the second integer (i.e 0).
Given that a chocolate bar with a weight 19.00 gram milk, contains 11. 50 g of sugar.
To find the percentage, we will calculate the amount of suger in 100 gram of chocolate bar in the same ratio..
19.00 gram milk chocolate bar contains 11. 50 g of sugar.
Apply unitary method:
1 gram milk chocolate bar contains 11. 50/19 g of sugar.
100 gram milk chocolate bar contains (11. 50/19) × 100 g of sugar.
= 60.526
The digit at the thousandth place of the number 60.526 is 6 which is more than 5. thus add 1 with the hundredth place digit to round to two decimal places.
60.526 ≈ 60.53
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how do simplify -5x+5x or is it already simplified?
Answer:
zero is the simplified answer
Step-by-step explanation:
it's just as adding -5 to 5 which are additive inverse to each other so they cancel each other out ,, so -5 + 5 = 0
same for -5x +5X =0
What is the area in square units?
By geometric formulas, the gray square has an area of 25 square units.
How to determine the area of the gray squareSquares are quadrilaterals with four right angles. In this question we find a geometric system formed by seven squares with distinct dimensions. By geometry, the area of a square (A), in square units, is equal to following formula:
A = l²
Where l is the length of the side of a square, in units.
All the required lengths are represented in the image attached below. First, determine the side length of the gray square:
7 + x = 12
x = 12 - 7
x = 5
The gray square has four sides with a length of 5 units.
Second, determine the area of the gray square by means of square formula:
A = x²
A = 5²
A = 25
According to area formula for squares, the area of the gray square is equal to 25 square units.
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__________ are designed so that the objective of the test is not apparent to the test taker. A. Projective tests B. Source errors C. MMPI tests D. 16PF tests Please select the best answer from the choices provided A B C D
Projective tests are created so that the test taker cannot tell what they are testing for.
What is Projective tests?Projective tests are created so that the test taker cannot tell what they are testing for.A personality test used in psychology is called a projective test. This kind of test provides answers to confusing situations, phrases, or visuals. Unconscious motivations or attitudes are disclosed by asking the person a question or giving them a stimulus that is unclear. Projective exams are designed to enlighten individuals about sentiments, wants, and conflicts that are not readily apparent to them. Psychoanalysts try to find unconscious feelings that might be behind a person's troubles in life by evaluating responses to ambiguous stimuli. Projective testing is mostly used to evaluate personality functioning.To learn more about Projective tests refer to:
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PLS PLS HELP ASAP!!! ILL GIVE BRAINIEST AND 50 POINTS!!!
Identify or mark the missing side or angle that would make triangle ABC congruent to triangle PDF by SAS
Answer:
Mark the sides BC and DF as congruent---------------------------------------------------We are given a side and an adjacent angle and need to identify the missing side or angle for proof by SAS .SAS is side-angle-side and requires two sides and the included angle to be congruent on both triangles.The missing bit is the other side of the marked angle B and D:sides BC or DF.
Step-by-step explanation:
Please solve for the x. Thank you
The value of x will be;
⇒ x = 35
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
In Rectangle RSTW;
⇒ RZ = 3x + 6
⇒ SW = 7x - 23
Since, By the figure we conclude that;
⇒ 2 RZ = SW
Substitute the given values, we get;
⇒ 2 RZ = SW
⇒ 2 (3x + 6) = 7x - 23
⇒ 6x + 12 = 7x - 23
⇒ 12 + 23 = 7x - 6x
⇒ 35 = x
⇒ x= 35
Thus, The value of x = 35
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Hello what x of a triangle
Solving for X in a Right Triangle
Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X
Evaluate 8+\dfrac{w}48+
4
w
8, plus, start fraction, w, divided by, 4, end fraction when w=16w=16w, equals, 16
After evaluating the value of 8 + w/4 = 12.
In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.When performing calculations but unsure of the precise amount, algebra is used.
Equations come in two varieties which are identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true.
as the details given,
the equation given is 8 + w/4
the value of w is 16
by placing the value of w in the given equation we get
=> 8 + 16/4
=> 8 + 4
=> 12
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i think its one but im not sure
Answer: Commutative property.
Step-by-step explanation: Basically, the commutative property can be expressed as a + b = b + a, which matches this scenario pretty well. You are correct.
Let me know if this is right! :)
The table below shows information about how many fans there were at two
football matches in a local tournament.
What is the difference between the number of away fans at the semi-final and at
the final?
Semi-final
Final
Total number of fans
250
400
Ratio of home fans
to away fans
6:4
7:3
The fans at the semi final is less than the fans at the final .
What is the away goal rule in FIFA?The implementation of the away goals rule makes any goals scored away from home effectively count twice when the scores are tied, as is customary in matches with home and away legs, such as the knockout stage of the Champions League.
In the UCL, do away goals still count?Champions League and Europa League, two of its premier club championships, starting in the 2021–22 season.
Semi final : 250*4/6+4 = 100
Final : 400*3/7+3= 120
Hence, The fans at the semi final is less than the fans at the final .
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I need help with this please
Answer:
[tex]\dfrac{15}{6}[/tex]
Step-by-step explanation:
3 can be represented as [tex]\dfrac{3}{1}[/tex] because any number divided by 1 is itself.
Therefore,
[tex]\dfrac{5}{6} \times 3[/tex]
can be written as:
[tex]\dfrac{5}{6} \times \dfrac{3}{1}[/tex]
To multiply these fractions, simply multiply their numerators and their denominators.
[tex]\dfrac{5 \times 3}{6 \times 1}[/tex]
[tex]\dfrac{15}{6}[/tex]
Which figure could be the result of dilating the trapezoid with a scale factor between 0 and 1?
10
9-
8
7
6
5
4
$
0
7
6
5
4
3
1 2 3 4 5 6 7 8 9
O
x
घ
A trapezoid will appear smaller than the original trapezoid if it is dilated with a scale factor between 0 and 1.
What shape is a trapezoid?An open, flat shape with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel.
What are a trapezoid's three characteristics?What three characteristics do trapezoids have? An isosceles trapezoid has equal base angles and diagonals. The midpoints of the two opposing sides are parallel to the point where the diagonals intersect. An isosceles trapezoid has opposite sides that are congruent to one another or have the same length.
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If a coin is tossed 4 times, the odds of it coming up either heads every time or tails every time are 1:7.
What is the probability the coin comes up all heads or all tails after 4 tosses?
The probability the coin comes up all heads or all tails after 4 tosses is 12.5%.
What is probability?Probability refers to the ratio, chance, likelihood, or odds that an expected outcome is achieved when there are many possible outcomes.
Probability is a fractional value, especially when the odds of the occurrence of the expected event are not 100% uncertain or certain.
In this case, probability lies between zero and one.
Odds of a coin coming up either heads or tails every time = 1:7
The sum of ratios = 8 (1 + 7)
Thus, the probability of the coin coming up with all heads or all tails = 12.5% (1/8 x 100)
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Jim and Tim share money in the ratio 6:1 if Tim gets 54 how much does Jim get
The amount of money owned by JIm is $9
How to determine the amount owned by JImFrom the question, we have the following parameters that can be used in our computation:
The ratio of the amount owned by Tim tohe ratio of the amount owned by Jim is 6 : 1
This means that
Tim : Jim = 6 : 1
Also from the question, we have
Tim gets $54
This means that
Tim = 54
Substitute the known values in the above equation, so, we have the following representation
54 : Jim = 6 : 1
Multiply by 9
54 : Jim = 54 : 9
So, we have
Jim = 9
Hence, the amount is $9
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PLEASE HURRY 100 POINTZ PLUS BRAINLIEST
Select the true statement that describes a right triangular prism.
A right triangular prism contains curved surfaces.
A right triangular prism contains rectangular faces.
A right triangular prism contains rectangular bases.
A right triangular prism contains one apex.
Answer:
A right triangular prism contains rectangular faces.
Step-by-step explanation:
Answer:
(C) A right triangular prism contains rectangular faces.
Step-by-step explanation:
hope this helps <3
What is the solution to the system of equations below x y 7 and x 2y 11?
The solution to the system of equations is x = 3 and y = 4.
this question is related to system of equations ,
the equations are,
x + y = 7 .......[1]
x + 2y = 11
x= 11 - 2y
now, place the value of x in equation 1,
(11 - 2y) + y = 7
11 - 2y +y = 7
11 - y = 7
- y = 7 - 11
- y = - 4
y = 4
now to find the value of x, place the value of y in equation 1
x + 4 = 7
x = 7 - 4
x = 3.
so, the value of x and y is 3 and 4.
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write an equation in pint-slope form, slope-intercept, and standard form
Slope: -5 (-3,-7)
(-6,10), (-4,18)
(-4,9), (1,14)
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
to get the equation of any straight line, we simply need two points off of it, let's use (-6,10), (-4,18)
[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{18}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{18}-\stackrel{y1}{10}}}{\underset{\textit{\large run}} {\underset{x_2}{-4}-\underset{x_1}{(-6)}}} \implies \cfrac{8}{-4 +6} \implies \cfrac{ 8 }{ 2 } \implies 4[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-6)}) \implies {\large \begin{array}{llll} y -10 = 4 ( x +6) \end{array}} \\\\\\ y-10=4x+24\implies -4x+y=34\implies \stackrel{standard~form}{{\Large \begin{array}{llll} 4x-y=-34 \end{array}}}[/tex]
A 2.2 GB game is being downloaded onto your laptop. when you have downloaded half a gigabyte you notice that your computer has been downloading at a rate of .01GB/min.
Answer:
it takes 110 minutes
Step-by-step explanation:
Answer:
it takes approximately 110 minutes
The container has 1 gallon of water. Each bottle holds 1/8 of a gallon. How many bottles of water does the container hold?
The total quantity of water that the container would have to hold is given as 8.
How to find the total quantity of waterWe know that the container holds 1 gallon of water, and that each bottle holds 1/8 of a gallon. To find out how many bottles the container can hold we need to divide the container size by the size of each bottle.
We can use the following formula to find the number of bottles:
Number of bottles = Container size / Size of each bottle
We can substitute the values into the formula:
Number of bottles = 1 / (1/8) = 8
So the container can hold 8 bottles of water.
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9. Isosceles trapezoid ABCD has legs AB and CD, and base BC.
If AB = 4y - 6, BC = 2y - 3, and
CD = 3y - 4.
Find the value of y. (hint: draw it to help!)
Therefore , the solution of the given question of triangle comes out to be y=2.
Defining a triangleYou can link any three points in a plane to form triangles, which have three sides and three angles. They were among of the first geometric forms to be examined. Since triangles may be divided into any polygon, regardless of whether it has four, five, six, or n sides, they are very significant.
Here,
Since it is an isosceles trapezoid the length of the two legs (i.e. AB = 4y - 6 and CD = 3y - 4) are equal. In other words,
4y - 6 = 3y - 4.
Subtract 2y from each side:
4y - 3y - 6= -4
Now add 10 to each side
=> 4y - 3y - 6 + 4
=> y - 2 =0
=> y = 2
Therefore , the solution of the given question of triangle comes out to be y=2.
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1. Write a function that represents the following description:
2.“After 8 hours, a person earned $148 in wages”
3. Write a linear function for the values given in the table below
a) After 8 hours, a person earned $148 in wages.
The function is, $x = 18.5 y
b) The linear function to represent the table is, y = 10x -4
What is Linear Function?A function with one or two variables and no exponents is referred to as a linear function. It is a function with a straight line as its graph.
Given:
a) After 8 hours, a person earned $148 in wages.
So, the unit rate change = 148/ 8
= 18.5
So, if y represents the number of hour and $x the wages, then the function is
$x = 18.5 y
b) The unit rate change for the function is
= (56-36)/(6-4)
= 20/ 2
= 10
So, the linear function to represent the table is
y - 36 = 10(x - 4)
y- 36 = 10x - 40
y = 10x -4
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a population of rabbits doubles every year write an expression for the increase after five years as repeated multiplication. then write it as an exponential expression
Answer: An increase of a population doubling every year can be modeled using repeated multiplication. The expression for the increase after five years would be:
2 * 2 * 2 * 2 * 2 = 2^5 = 32
This can also be written as an exponential expression, with 2 as the base and 5 as the exponent:
2^5 = 32
This notation expresses that 2 is multiplied by itself 5 times to get 32, which represents the population size after 5 years with the rate of doubling every year.
It's also worth mentioning that exponential notation is used to represent the quantity of growth (doubling every year) , and using exponents makes it easy to see how much the population has grown over a certain period of time.
Step-by-step explanation:
Answer:
Step-by-step explanation:
2^5= 32
=2 x 2 x 2 x 2 x 2
= 2^5
= 32
a) 3.2÷0.8 explain pls b) 7.5÷0.5 also explain pls
Get the standard form and slope-intercept form
1. y -2 = 2/3 (x - 1)
2. y + 4 = - 4/5 (x+3)
Answer:
1. y-2=2/3(x-1) slope: y=2/3x+4/3 standard: 2x-3y=-4
Step-by-step explanation: