Answer:
p2
Step-by-step explanation:
The table shows the ratios of black and white keys on pianos of various size
The ratio of black and white keys of piano give correct values of A, B, C as 9, 52, 130.
The ratio of black to white keys of Piano of different sizes are as follow,
Black A 36 63 90
White 13 B 91 C
From the table of black and white keys relation of proportionality is equal to,
( A / 13 ) = ( 36 / B ) = ( 63 / 91 ) = ( 90 / C )
This implies ,
( A / 13 ) = ( 63 / 91 )
⇒ A = ( 63 / 91 ) × 13
⇒ A = ( 9 / 13 ) × 13
⇒ A = 9
Similarly,
( 36 / B ) = ( 63 / 91 )
⇒ B = 36 × ( 91 / 63 )
⇒ B = 36 × ( 13 / 9 )
⇒ B = 52
And
( 63 / 91 ) = ( 90 / C )
⇒ C = 90 × ( 91 / 63 )
⇒ B = 90 × ( 13 / 9 )
⇒ B = 130
Therefore, the correct values of A , B, C using the ratio of black and white keys of the piano is equal to 9, 52, 130.
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The above question is incomplete, the complete question is:
The table below shows the ratios of black to white keys on pianos of various sizes.
Black A 36 63 90
White 13 B 91 C
Determine which table has the correct values for A, B, and C.
What is the general equation of a tangent?
The tangent to a circle equation \(x^2+ y^2=a^2\) at (a cos θ, a sin θ ) is x cos θ+y sin θ= a. The tangent to a circle equation \(x^2+ y^2=a^2\) for a line
y = mx +c is y = mx ± a √[1+ m2].
What is tangent in math?In Geometry, the tangent is defined as a line touching circles or an ellipse at only one point. Suppose a line touches the curve at P, then the point “P” is called the point of tangency. In other words, it is defined as the line which represents the slope of a curve at that point.
If a tangent line to the curve y = f (x) makes an angle θ with x-axis in the positive direction, then dy/dx = slope of the tangent = tan = θ.
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Why should you start forming the groups of four bits at the binary point instead of the left end of the number?
Starting the formation of groups of four bits at the binary point instead of the left end of the number facilitates conversion between binary and decimal numbers, improves organization and readability, simplifies calculations, and aligns the binary number with its decimal equivalent.
When working with binary numbers, it is more common and practical to start forming groups of four bits at the binary point rather than the left end of the number.
The binary point is the equivalent of the decimal point in a binary number system. Starting at the binary point allows for easier conversion between binary and decimal numbers, as well as better organization and readability of large binary numbers.
Forming groups of four bits at the binary point allows us to convert each group into a decimal equivalent. These decimal values can then be added together to obtain the final decimal representation of the binary number.
By starting at the binary point, we can work with smaller groups of bits at a time, which simplifies calculations and reduces the chances of errors. This approach also enables us to track the place value of each group more efficiently.
Additionally, starting at the binary point helps in aligning the binary number with its decimal equivalent. This alignment is crucial when performing arithmetic operations such as addition, subtraction, multiplication, or division on binary numbers.
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The table shows the amount of dietary fiber in bananas. Use the table to find the constant of proportionality. Express your answer in decimal form
The table has a constant of proportionality of 0.322
How to determine what is the constant of proportionality?The table that completes the question is added as an attachment
On the table, we have the following points
(x, y) = (9.3, 3)
To determine the constant of proportionality, remove the origin
So, we have
(x, y) = (9.3, 3)
The constant of proportionality of the points is then calculated as
k = y/x
Substitute the known values in the above equation
So, we have
k = 3/9.3
Evaluate the quotient
So, we have
k = 0.322
Hence, the constant of proportionality of the table is 0.322
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1/3 as a number is wat thanks and have a good day aight
Which polynomial does the model represent? The model shows 1 black square block, 2 white thin blocks, 1 black thin block, 1 white small square block, 3 black small blocks
The polynomial represented by the model is \(]x^2 - x + 2\)
Based on the provided model, the polynomial represented is:
1 black square block: x^2
2 white thin blocks: -2x
1 black thin block: x
1 white small square block: -1
3 black small blocks: +3
The polynomial that the model represents is:
\(x^2 - 2x + x - 1 + 3\)
Combining like terms, we get:
\(x^2 - x + 2\)
So, the polynomial represented by the model is \(x^2 - x + 2\).
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(-4x2 + 2) - (-7ac2 + 10x + 1)
Answer:
-4\(x^{2}\)+1+7\(a^{c} ^{2+10}\)x
Step-by-step explanation:
If SK = 8x - 9, KF = x + 3, and SF = 7x + 4,
find SF.
Answer:
SF = 39
Step-by-step explanation:
A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend less than $300 on the shirts and needs to figure out how much he can spend per shirt, s.
Answer:
$12 per shirt
Step-by-step explanation:
$300/25=$12
Answer:
11.96 per shirt
Step-by-step explanation:
299/25 = 11.96 you do this instead of 300/25 because it says less than 300
Help plssss ASAP thanks
Answer:
-0.4........................
A hexagon has equal side lengths and angle measures. How many reflectional symmetry does the regular hexagon have?.
The regular hexagon has 6 reflectional symmetries.
A regular hexagon has 6 congruent sides.
The number of sides of a polygon is the number of reflectional symmetry the polygon have.
Since the number of congruent sides of a regular hexagon is 6, then the regular hexagon has 6 reflectional symmetries.
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Answer:
It´s 6
Step-by-step explanation: Hope it helps ^w^
What is K-map A. method used to minimize Boolean expressions with having to use Boolean algabra B. pictoriat nethod used to aininize soolesn expressions without having to use Hootean atgabra theorens and exation asnipulations Q.pictorial wethod used to minimize Bootean expresstons with having to use Booleen algobra theormen and eqution manipulations
Karnaugh maps or K-maps are pictorial methods used to minimize Boolean expressions without having to use Boolean algebra theorems and equation manipulations. Option Q is the correct answer.
They provide a visual aid for determining the optimal grouping of terms. Karnaugh maps reduce logic functions more quickly and easily than Boolean algebra simplification. It is a practical tool to use for problems that require minimizing Boolean expressions. There are two common versions of Karnaugh maps: 2-D Karnaugh maps and 3-D Karnaugh maps. A Karnaugh map consists of squares in which each square represents a product term or minterm.
In a two-variable Karnaugh map, there are four squares, whereas in a three-variable Karnaugh map, there are eight squares. Karnaugh maps are read and interpreted from left to right and top to bottom. Terms that are adjacent or touching in the map can be combined to produce a simplified expression. K-maps can minimize up to 4 variables in a 2-D map and up to 6 variables in a 3-D map. Karnaugh maps help reduce the complexity of Boolean expressions and make it easier to implement logic circuits.
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Raina has a rope that is 9 meters long. She cuts away a piece that is 5.93 meters long. How long is the remaining piece of rope?
Answer:
3.07meters
Step-by-step explanation:
9-5.93=3.07
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
STRUCTURE Consider the quadratic function y = - x ^ 2 - 2x + 2
a. Find the equation for the axis of symmetry.
X=
b . Find the coordinates of the vertex and determine if it is a maximum or minimum. Write maximum or minimum
The vertex is (____,___) and is a __
Part B . Graph the function
Answer:
Part A:
(a) \(x=-1\)
(b) The vertex is \((-1,3)\) and is a maximum
Part B: The graph is shown in part 2 attached below.
Step-by-step explanation:
The explanation is attached below. The graph is shown in part 2.
What type of number is 24−16i? Choose all that apply. Group of answer choices Imaginary Complex Real
I would say this is a complex number, because it is a combination of a real number, 24, and an imaginary number, -16i.
what is the slope of the line shown
Answer:
Slope: 1/2
Step-by-step explanation:
(0,-3) and (6,0)
(0 - - 3)/(6 - 0) = 3/6 = 1/2
what are the coordinates of the image of ABCD after a reflection over the y-axis
Original Coordinates:
A=(-5,-2)
B = (-2,-2)
C= (-2,-5)
D= (-5,-5)
A point (x,y) reflected over the y-axis is equal to (-x,y)
So, the new coordinates (image) are:
A'= (5,-2)
B' = (2,-2)
C'= (2,-5)
D'=(5,-5)
a family on a trip budgets $800 for meals and hotel accommodations. suppose the price of a meal is $40. in addition, suppose the family could afford a total of eight nights in a hotel if they don't buy any meals. how many meals could the family afford if they gave up two nights in the hotel? a. 2 b. 1 c. 8 d. 5\
if the family gives up two nights in the hotel, they could afford d) 5 meals
The family has a budget of $800 for meals and hotel accommodations. If they could afford eight nights in a hotel without buying any meals, we can determine the cost of one night at the hotel. To do this, we can divide the total budget by the number of nights:
$800 / 8 nights = $100 per night
Now, let's consider the scenario where the family gives up two nights in the hotel. This would free up $200 from their budget ($100 per night x 2 nights). We can then use this amount to determine how many meals the family can afford by dividing the available funds by the cost of one meal:
$200 / $40 per meal = 5 meals
Therefore, if the family gives up two nights in the hotel, they could afford 5 meals. The correct answer is d. 5.
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the decay n → p e− cannot happen because something is clearly not conserved. what is not conserved, among what needs to be conserved?
Energy saving is maintained. This decay is not observed in nature because the basic laws and conservation principles of particle physics do not allow it.
In the decay process you mentioned, n → p e-, the neutron (n) decays into a proton (p) and an electron (e-). This decay violates the conservation of several important quantities. Let's see what is not preserved in this process:
Conservation of charge: In this decay, a neutron (charge = 0) decays into a proton (charge = +1) and an electron (charge = -1). Total charge is not conserved because the neutron is neutral, but the proton and electron have opposite charges.
Conservation of lepton number: Lepton number refers to the number of leptons minus the number of antileptons. A neutron is a baryon, not a lepton, and its decay into a proton (also a baryon) and an electron (a lepton) violates lepton number conservation.
Conservation of baryon number: Baryon number refers to the number of baryons minus the number of antibaryons. Both the neutron and the proton are baryons, so the total baryon number is conserved in this decay. However, the presence of an electron introduces an additional lepton, which breaks the conservation of the baryon number.
Conservation of energy: Energy is generally conserved in the decay process. However, the specific energies of the particles involved may differ. The difference in mass between the neutron and the proton, as well as the electron, are taken into account in the decay energy balance.
In short, the n → p e- decay process violates the conservation of charge, lepton number, and baryon number.
However, energy saving is maintained. This decay is not observed in nature because the basic laws and conservation principles of particle physics do not allow it.
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Given m∥n, find the value of x.
The value of the x for the given angles will be 8.
What is an alternate interior angle?The alternate interior angles are the angles formed inside two parallel lines when they are intersected by a transversal and are equal to their alternate pairs.
It is given that the two angles are (7x - 4)° and (3x + 28)°.
The two angles will be the same. The value of x will be calculated as:-
7x - 4 = 3x + 28
7x - 3x = 28 + 4
4x = 32
x = 32 / 4
x = 8
Therefore, the value of the x will be 8.
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There are 1/3 pieces of pizza left over on 3 plates. How much pie is left over in total?
Answer:
1 pie
Step-by-step explanation:
1/3 + 1/3 = 2/3 + 1/3 = 3/3 = 1 whole
1.8333 as a fraction
Answer:
1.8 is 1.8333 as a fraction
Step-by-step explanation:
have a nice day
Find the slope of the line
Answer:
y=3x+0
Step-by-step explanation:
Or just y=3x you don’t really need the plus 0
The area of the rectangle is 40% larger than the area of the triangle.What is the length ,L, of the rectangle?
Answer:
10 units
Step-by-step explanation:
Area of the triangle (A') = 1/2bh
A' = 1/2bh............ Equation 1
Where b = base of the triangle, h = height of the triangle
From the diagram,
Given: b = 12.5 unit, h = 4 unit
Substitute into equation 1
A' = 1/2(12.5)(4)
A' = 25 squared unit.
Also,
Area of the rectangle (A) = Lenght(L)×width(w)
A = Lw............ Equation 2
From the question,
If the area of the rectangle is 40% larger than the area of the triangle
Therefore,
A = 1.4A'
A = 1.4(25)
A = 35 squared unit.
Also given: w = 3\(\frac{1}{2}\) = 7/2
Substitute into equation 2
35 = L×7/2
7L = 35×2
7L = 70
L = 70/7
L = 10 units
Find the volume of the cylinder in terms of π.
A. 154π cm3
B. 406π cm3
C. 539π cm3
D. 1078π cm3
Answer:
Step-by-step explanation:
The correct answer is option D, 1078\(\pi\) \(cm^{3}\).
The volume of the cylinder = \(\pi\)\(r^{2}\)h.
Radius = 7cm Height = 22cm.
Substituting the value in the formula, we get
\(\pi\)*\(7^{2}\)*22 = 1078\(\pi\).
Hence the Answer is 1078\(\pi\).
Answer:
3386.64 cm3
Step-by-step explanation:
i use this formula π r² h
A video game rental store charges a $20 membership fee plus $2 for each game rented. Click to show whether each statement is true or false. True False The slope of function 2 is greater than the slope of function 1 and less than the slope of function 3 The slope of function 1 is 4 times the slope of function 3. The y-intercept of function 2 is less than the y-intercept of functions 1 and 3. The y-intercept of function 2 is greater than the y-intercept of function 3.
Answer:
the member ship gay
Step-by-step explanation:
m8 m88m8m88m8m88m
What is the sum of the digits in the expansion of (10^36+26/18)
Answer:
=177
Step-by-step explanation:
The sum of the digits in the expansion (10³⁶ + 26/18) will be 18.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (10³⁶ + 26/18)
The sum of the digits in the expansion is given as,
⇒ 1 + 0 + 2 + 6 + 1 + 8
⇒ 18
The sum of the digits in the expansion (10³⁶ + 26/18) will be 18.
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Are the expressions 3(j+2)-2 and 2(j+1)+j equivalent
Answer:
No
Step-by-step explanation:
Distributing the 1st expression, we get 3j + 4.
Distributing the 2nd expression, we get 3j + 2.
3j + 4 does not equal 3j + 2
find the value of x and show how
Answer:
x≈ 5.4
Step-by-step explanation:
180°-110°= 70°
70° is the measure of the angle represented by 11x+11
set the equation equal to 70°
11x+11= 70°
-11 on both sides
11x= 59
÷11 on both sides
x≈ 5.4
11(5.4)+11≈ 70.4 ≈70
85 POINTS! If y is 2.5 when x is 5 and y varies directly with x, find y when x is 20.
Answer:
Y = 10 when X = 20
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
y∝x∴y=k⋅x or k=y over x=2.50.5=5
(k is proportionality costant) When
x
=
20
;
y
=
5
⋅
20
=
100
[Ans]