Janelle wants to learn to play the piano. Her friends recommended two different music schools. Make Music charges $525 for 10 hours of lessons. Piano Play offers 12 hours of lessons for $540. Which school offers the better deal?

Answer:

letter A

Step-by-step explanation:

that is my answer.

I hope it help.

Answer:

1.) The 1ˢᵗ three term is (-32), (-7) and 18

2.) The 1ˢᵗ three term is 127, 106 and 85

Step-by-step explanation:

Here,

First Term = a₁ = - 32

Common Difference = (d) = 25

Now, For 1ˢᵗ three term,

n = 1

a₁ = - 32

n = 2

aₙ = a + (n - 1)d

a₂ = (-32) + (2 - 1) × 25

a₂ = (-32) + 1 × 25

a₂ = (-32) + 25

a₂ = -7

n = 3

aₙ = a + (n - 1)d

a₃ = (-32) + (3 - 1) × 25

a₃ = (-32) + 2 × 25

a₃ = (-32) + 50

a₃ = 18

Thus, The 1ˢᵗ three term is (-32), (-7) and 18

Here,

First Term = a₁ = 127

Common Difference = (d) = -21

Now, For 1ˢᵗ three term,

n = 1

a₁ = 127

n = 2

aₙ = a + (n - 1)d

a₂ = 127 + (2 - 1) × (-21)

a₂ = 127 + 1 × (-21)

a₂ = 127 - 21

a₂ = 106

n = 3

aₙ = a + (n - 1)d

a₃ = 127 + (3 - 1) × (-21)

a₃ = 127 + 2 × (-21)

a₃ = 127 - 42

a₃ = 85

Thus, The 1ˢᵗ three term is 127, 106 and 85

-TheUnknownScientist

Answer: (1,0)

Step-by-step explanation:

Point is located on the x-axis

Hence, y=0

Thus, (1,0)

In this question, the gradual, long-term movement in time series data is referred to as temporal variation.

The correct answer is a. temporal variation. Temporal variation describes the systematic and long-term changes that occur in time series data over an extended period. It is characterized by a gradual shift or trend in the data points, indicating an underlying pattern or direction.

Temporal variation can be observed in various contexts, such as economic indicators, population growth, weather patterns, and stock market trends. It reflects the impact of factors that change over time, such as demographic shifts, technological advancements, economic cycles, or environmental conditions.

It is important to differentiate temporal variation from other types of movements in time series data. Cyclical movement refers to regular fluctuations that occur within a specific time frame, while exponential smoothing and linear regression are statistical techniques used to analyze and forecast time series data. Therefore, the correct term to describe the gradual, long-term movement in time series data is temporal variation.

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Answer of a)(0.01 * 2t)/(\((1+t^{2})^{2}\))  

b) e^((0.02 + 0.01/(1+\(t^2\))) * t) - 1

c)2 * [(1 + (0.02 + 0.01/\((1+(0.5t)^2)))^(2t) - 1]\) by susbstituting

(a) Instantaneous Interest Rate Curve:

The instantaneous interest rate is the derivative of the continuously compounded zero rate with respect to time. Taking the derivative of r_c(0,t), we get:

r_i(0,t) = d(r_c(0,t))/dt = (0.01 * 2t)/(\((1+t^{2})^{2}\))

(b) Annually Compounded Zero Rate Curve:

To compute the annually compounded zero rate, we use the relationship between continuously compounded rates and annually compounded rates. The annually compounded zero rate, denoted as r_a(0,t), can be calculated as:

r_a(0,t) = e^(r_c(0,t) * t) - 1

Substituting the expression for r_c(0,t) into the equation above, we have:

r_a(0,t) = e^((0.02 + 0.01/(1+\(t^2\))) * t) - 1

(c) Semiannually Compounded Zero Rate Curve:

Similar to the annually compounded zero rate, the semiannually compounded zero rate, denoted as r_s(0,t), can be calculated using the relationship:

r_s(0,t) = 2 * [(1 + r_c\((0,0.5t))^(2t)\) - 1]

Substituting the expression for r_c(0,t) into the equation above, we have:

r_s(0,t) = 2 * [(1 + (0.02 + 0.01/\((1+(0.5t)^2)))^(2t) - 1]\)

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Answer:

A & B

Step-by-step explanation:

A is spot-on because of the use of distributive property. B by the use of like terms.

The expression 2(a + 3b) is equivalent to the expression 2a + 6b. Then the correct option is A.

The equivalent is the expression that is in different forms but is equal to the same value.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The expression is given below.

⇒ 2(a + 3b)

Simplify the expression, then we have

⇒ 2(a + 3b)

⇒ 2 · a + 2 · 3b

⇒ 2a + 6b

The expression 2(a + 3b) is equivalent to the expression 2a + 6b. Then the correct option is A.

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Answer:

infinite

Step-by-step explanation:

the law in most states in the usa states there must be 3 letters and 3 numbers so there could be infinite

                            -hope this helps-

The equation of the tangent line to the curve \(\(y = 2\tan x\)\) at the point \(\(\left(\frac{\pi}{4}, 2\right)\) is \(y = 4x - (\pi - 2)\)\), where \(\(\theta = \frac{\pi}{4}\) and \(b = \pi - 2\)\).

To find the equation of the tangent line to the curve \(\(y = 2\tan x\)\)at the point \(\(\left(\frac{\pi}{4}, 2\right)\)\), we need to determine the slope of the tangent line and the point where it intersects the y-axis.

The slope of the tangent line can be found by taking the derivative of the function \(\(y = 2\tan x\)\) with respect to x:

\(\(\frac{dy}{dx} = \frac{d}{dx}(2\tan x)\)\)

Using the derivative of the tangent function, which is\(\(\sec^2 x\)\), we have:

\(\(\frac{dy}{dx} = 2\sec^2 x\)\)

To find the slope at \(x = \frac{\pi}{4}\), substitute the value into the derivative:

\(\frac{dy}{dx} \bigg|_{x = \frac{\pi}{4}} = 2\sec^2 \left(\frac{\pi}{4}\right)\)

Since \(\sec^2 \left(\frac{\pi}{4}\right) = 2\), the slope is:

\(\frac{dy}{dx} \bigg|_{x = \frac{\pi}{4}} = 2(2) = 4\)

Now that we have the slope, we can use the point-slope form of a line to find the equation of the tangent line:

\(y - y_1 = m(x - x_1)\)

Substituting the values \((x_1, y_1) = \left(\frac{\pi}{4}, 2\right)\) and \(m = 4\), we have:

\(y - 2 = 4(x - \frac{\pi}{4})\)

Simplifying, we get:

\(y - 2 = 4x - \pi\)

Finally, rearranging the equation in the desired form \(y = mx + b\), we have:

\(y = 4x - \pi + 2\)

Therefore, the equation of the tangent line to the curve \(y = 2\tan x\) at the point \(\left(\frac{\pi}{4}, 2\right)\) is \(y = 4x - (\pi - 2)\), where \(\theta = \frac{\pi}{4}\) and \(b = \pi - 2\).

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Step-by-step explanation:

The gender of a child which is either a boy or a girl is determined by the XX-chromosomes, or XY-chromosomes.

Since the couple plan to have 5 children, the chance of a child being a boy is equal to the chance of it being a girl - the chances are 50/50.

What we do to achieve our aim is to run a simulation that would add an X or Y to an X for all 5 children.

Doing this 125 times, we obtain the number of trials we desire.

For each trial, we get for each child, C:

C1: X + (X or Y)

C2: X + (X or Y)

C3: X + (X or Y)

C4: X + (X or Y)

C5: X + (X or Y)

Since the chance of having an X is equal to the chance of having a Y, they equal probability, which is 0.5 for each.

a) If the true rate of rejection is 10%, then the probability that the production will be suspended based on a sample of 15 bearings is 10%.

b)  The assumptions made in part a are that the sample of 15 bearings is representative of the population of bearings produced, and that each bearing is independent of the others.

To ensure that the production process is producing quality products, samples of 15 bearings are taken periodically and carefully inspected. If more than 2 bearings in a sample of 15 fail to meet the required specifications, production is suspended for necessary adjustments.

a) If the true rate of rejection is 10%, what is the probability that the production will be suspended based on a sample of 15 bearings? To answer this question, we need to use the binomial distribution. The binomial distribution is used to calculate the probability of a certain number of successes in a fixed number of independent trials. In this case, the number of trials is 15, and the probability of success (i.e., a bearing not meeting the required specifications) is 10%.

b) The assumptions allow us to use the binomial distribution to calculate the probability of having a certain number of bearings fail to meet the required specifications in a sample of 15. Additionally, we assume that the true rate of rejection is 10%, which may not always be the case.

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Answer:

(3x - 2) (x+5)

Step-by-step explanation:

3x^2 + 13 - 10

15× - 2 = -30

15+-2 = 13.....substitute 15x - 2x in place of 13x

3x^2+15x-2x-10

Factorise the first two values, thrn the second two

3x (x+5) - 2 (x+5)

Gathering the like terms together you eill be left with the following

(3x - 2) (x+5)

The factors of the trinomial 3x² + 13x - 10 is (3x-2)(x+5).

The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics.

we have,

Trinomial= 3x² + 13x - 10

Now, factories using splitting the middle term we get

3x² + 13x - 10

= 3x² + 15x - 2x - 10

= 3x( x +5) - 2(x+ 5)

= (3x - 2) (x+ 5)

So, the factors are (3x- 2(x+5)

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Answer:

C. 14.75

Step-by-step explanation:

To find mean is fairly easy. All you have to do is add all of the numbers in your data set, and then divide it by the total amount of numbers in the set. So:

12 + 17 + 16 + 10 + 20 + 13 + 14 +14 + 12 + 12 + 19 + 18

Total numbers in the set: 12

All numbers added together: 177

177 / 12 = 14.75

brainliest is always epic :)

Answer:

Step-by-step explanation:

1. First add all the listed numbers which equals to 177

2. Divide 177 by the amount of number given above so there are

12 numbers

So 177÷12= 14.75

Answer is c

The coordinate vector of p(t) relative to the basis b is:
[-2, 1, -1, 1]

To find the coordinate vector of p(t) relative to the basis b, we need to express p(t) as a linear combination of the vectors in b.

Let's write p(t) as:
p(t) = 2 - 8t + 3t^2

To express p(t) as a linear combination of the vectors in b, we need to solve the system of equations:
2 - 8t + 3t^2 = a(1-t^2) + b(-2t) + c(t^2) + d(1-t-t^2)

Expanding the right-hand side and collecting like terms, we get:
2 - 8t + 3t^2 = (d-a)t^2 + (-2b-c-a)t + (d-a-b)

Equating coefficients, we have:
d - a = 3

-a - 2b - c = -8
d - a - b = 2

Solving this system of equations, we get:
a = -2
b = 1
c = -1
d = 1

Therefore, we can express p(t) as a linear combination of the vectors in b as:
p(t) = -2(1-t^2) + (2t) + (-t^2 + 1 - t)
The coordinate vector of p(t) relative to the basis b is: [-2, 1, -1, 1]

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Answer:

3

Step-by-step explanation:

6(x+4)=42

x=3

check:

6*(3+4)=42

Option A. Between the base of a 300-mb level trough and the top of a 300mb-level ridge and we find : a negative change in curvature vorticity and a positive change in area aloft.

In the context of meteorology, curvature vorticity refers to the rotation (or spinning) of air that results from changes in the flow direction along a streamline, while "area aloft" might be interpreted as the amount of space occupied by the air mass above a certain point.

If we are moving from the base of a 300-mb level trough to the top of a 300mb-level ridge, we are transitioning from a more curved, lower area to a less curved, higher area.

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Answer: Subtraction Property

Step-by-step explanation:

For all real numbers x, y and z  

if x = y

then x − z = y − z

please give me a brainliest answer

Answer:

7344 (yo i haven't done this since like 5th grade so i dont know if its right)

Step-by-step explanation:

800 increase by %2 is 816

816 x 9 = 7344

The correct answer is "a." Static positioning which is positive essentially the same as not using any CSS positioning at all.

The correct answer to your question is: a. Static positioning is essentially the positive same as not using any CSS positioning at all. Static positioning is the default positioning for HTML elements, and elements with static positioning remain in their normal flow on the page.

CSS aims to differentiate between content and presentation, including layout, colors, and fonts. This separation can improve the accessibility of content; provides more flexibility and control in terms of presentation features; Have multiple websites share the same style by specifying the relevant CSS in separate .css files. This reduces the complexity and overlap of the content and caching of css files to improve the page speed of the page displaying the data and its formatting.

Separation of text and content also allows the same page to be written in different formats on screen, print, voice (in voice-based browser or screen reader), and Braille Haptic-based devices. CSS also has resize rules if the content is being accessed from a mobile device.

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The probability of the second king is dealt on the fifth card from a deck of cards is equal to 0.0026, or 0.26%.

To find the probability that the second king is dealt on the fifth card,

Use the concept of conditional probability.

There are 52 cards in a standard deck,

and determine the probability of the second king being dealt on the fifth card.

On the first card, there are 4 kings in the deck since there are 4 kings in total.

The probability of drawing a king on the first card is 4/52.

After the first card is drawn, there are 51 cards remaining in the deck.

The probability of not drawing a king on the second, third, and fourth cards is (48/51) × (47/50) × (46/49).

On the fifth card, there are 3 kings remaining in the deck since one king has already been drawn.

The probability of drawing the second king on the fifth card is 3/48.

To find the probability of all these events occurring in sequence, multiply the individual probabilities together,

Probability = (4/52) × (48/51) × (47/50) × (46/49) × (3/48)

Calculating this expression, we find,

Probability ≈ 0.002641056

Therefore, the probability that the second king is dealt on the fifth card is approximately 0.0026, or 0.26%.

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Answer:

-6

Step-by-step explanation:

The midpoint of a and b is (5, 6)

Define Midpoint

Given coordinates are,

a is (2, 3)  and b is (8, 9)

Let, (x1, y1) = (2, 3)

(x2, y2) = (8, 9)

We know,

midpoint = ( (x1 + x2) / 2 , (y1 + y2) / 2 )

Now, plug in the values

midpoint = ( (8 + 2) / 2 , (9 + 3) / 2 )

               = ( 10/2, 12/2)

               = (5, 6)

Hence, the midpoint of a and b is (5, 6)

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9514 1404 393

Answer:

  \(B=\dfrac{T+9}{A}\)

Step-by-step explanation:

Add 9 to both sides of the equation, and divide by the coefficient of B.

  T = BA -9

  T +9 = BA

  (T +9)/A = B

We can rewrite that with B on the left:

  B = (T +9)/A

Answer:

if you add it all up then divide it by the amount of numbers their are you'll get 22

Step-by-step explanation:

The common difference is 5

The formula for the nth term of an arithmetic sequence is ;

Tn = a + ( n - 1)d

Given that the parameters are;

Substitute the values

T₆ = 10 + ( 6-1) d

Subtract the values

35 = 10 + 5d

collect like terms

25 = 5d

Divide the values, we have;

d = 5

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The cost for the used SUV is $15000 using the percentage formula.

A fraction or ratio can be expressed as a number out of 100 using a percentage. For instance, we may state that 25% of a class's pupils are female if there are 100 total students. In several branches of mathematics, including economics, statistics, and geometry, percentages are used to express rates of change, probabilities, and proportions. Percentages are frequently used in daily life to describe a variety of things, including taxes, interest rates, and sales discounts.

Given that, a used SUV goes for 75% of a new SUV,

Thus,

75% of $20000 = 0.75 * $20000 = $15000

Hence, the cost for the used SUV is $15000 using the percentage formula.

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Answer:

12 pies

Step-by-step explanation:

No. of children = 6

No. of pies given to each child = 2

Total no. of pies needed by Ben;

6 x 2 = 12

\( \huge \underline \pink {answer}\)

number of children Ben has = 6

number of pies given to each child = 2

number of pies Ben need = 6×2 = 12

hence Ben needs 12 pies..

The expected loss per game is approximately -$0.31.

The terms we need to consider in this problem are: standard 52-card deck, face cards, and expected gain or loss.
To find the expected gain or loss per game, follow these steps:

1. Determine the probability of drawing a face card.
There are 12 face cards (Kings, Queens, and Jacks) in a standard 52-card deck. So the probability of drawing a face card is \(\frac{12}{52}\), which simplifies to \(\frac{3}{13}\).

2. Determine the probability of drawing a non-face card.
There are 40 non-face cards in the deck (52 cards - 12 face cards). So the probability of drawing a non-face card is \(\frac{40}{52}\), which simplifies to \(\frac{10}{13}\).

3. Calculate the expected gain or loss per game.
Expected gain or loss = (Probability of drawing a face card x gain from drawing a face card) + (Probability of drawing a non-face card x loss from drawing a non-face card)

4. Simplify the equation.
Expected gain or loss = \((\frac{3}{13} (2))  +  (\frac{10}{13} (-1))\)
Expected gain or loss = \(\frac{-4}{13}\)

Your expected loss per game is approximately -$0.31 (rounded to two decimal places).

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Answer:

2

Step-by-step explanation:

Answer:

geometric sequence

Step-by-step explanation:

an arithmetic sequence has a common difference d between consecutive terms.

12 - 36 = - 24

4 - 12 = - 8

there is not a common difference so sequence is not arithmetic.

a geometric sequence has a common ratio r between consecutive terms.

\(\frac{12}{36}\) = \(\frac{1}{3}\)

\(\frac{4}{12}\) = \(\frac{1}{3}\)

there is a common ratio so sequence is geometric