Fill in the equation of the circle which has a diameter with endpoints (-3,2) and (1,-6).

Answer:

m-3

Step-by-step explanation:

cube root the two to get m-3

Step-by-step explanation:

\( \sin(x) + \cos(x) \times \tan(x) \\ = \sin(x) + \cos(x) \times \frac{ \sin(x) }{ \cos(x) } \\ = \sin(x) + \sin(x) \\ = 2 \sin(x) \)

Step-by-step explanation:

sin(x) + cos(x) = sin x ÷cos x

sin(x) + cos(x) sin(x) ÷ cos (x)

join cos x and sin x

sin x + sin x

cancel cos x with cos x

The answer is 2 sin x

Answer:

If we think of one full rotation, it will be 360 degrees. If one full turn is 360 degrees, one-third of that will be the turn that Jacob made. One-third times 360 is 120 degrees

Step-by-step explanation:

first

for washing 10 houses we get (14*10) dollars which is 140

now for washing cars ur frirnd gets (28*5) which is also 140

so u both earn the same amount

hence the answer is neither.

The null hypothesis would state that the population mean number of cups of coffee that women would drink 32% the population mean number cups of coffee than men drink.

The term "percentage" comes from the Latin phrase "per centum," which means "by the hundred." With 100 as the denominator, percentages are fractions. In other words, it is a relationship where the value of the entire is always assumed to be 100.

Percentage is a fraction or a ratio in which the value of whole is always 100. For example, if Sam received 30% on his math test, he received 30 points out of 100. It is expressed as 30/100 in fractional form and 30:100 in ratio form.

A certain number or quantity in every hundred is referred to as a percentage. It is a fraction, and the denominator is 100.

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Answer:

551.51

Step-by-step explanation:

If the rate of interest is 8.95% and the loan amount is $2900 for 11 months then the amount to be charged after 11 months will be $3137.92.

Given that the rate of interest is 8.95%, loan amount is $2900 and the number of months is 11 and we have to assume each month be 1/12 of a year.

We are required to find the amount to be charged after 11 months.

Simple interest is basically calculated by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Loan amount=$2900

Interest rate=8.95%

Months=11

Interest of 11 months=(2900*8.95*11/1200)

=$237.92

Total amount=$2900+237.92

=$3137.92

Hence if the rate of interest is 8.95% and the loan amount is $2900 for 11 months then the amount to be charged after 11 months will be $3137.92.

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One line in the question is wrong. The correct line that we have to assume each month be 1/12 of a year.

Step-by-step explanation:

If they are similar, then 10 is to 3      as  x is to 15

10/3 = x/15    multiply both sides by 15

 50 mm = x

The anchor was released from a height of 72.5 meters above the water's surface

We are given the rate at which the anchor is dropping (2.5 meters per second), the time it took to reach 40 meters below the water (45 seconds), and we need to find the initial height of the anchor above the water's surface.

Step 1: Calculate the distance the anchor traveled during the 45 seconds.
Distance = Rate × Time
Distance = 2.5 meters/second × 45 seconds
Distance = 112.5 meters

Step 2: The anchor is now 40 meters below the water, so it has traveled 40 meters below the water's surface plus the initial height above the water's surface.
Total Distance = 112.5 meters = Distance below water + Initial height above water
112.5 meters = 40 meters + Initial height above water

Step 3: Solve for the initial height above the water's surface.
Initial height above water = 112.5 meters - 40 meters
Initial height above water = 72.5 meters

So, the anchor was released from a height of 72.5 meters above the water's surface.

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The standard form of the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3) is (2x - y = -1)

To determine the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3), we can follow these steps:

1. Obtain the slope of the provided line.

To do this, we rearrange the equation (3x + 6y = 5) into slope-intercept form (y = mx + b):

6y = -3x + 5

y =\(-\frac{1}{2}x + \frac{5}{6}\)

The slope of the line is the coefficient of x, which is \(\(-\frac{1}{2}\)\).

2. Determine the slope of the line perpendicular to the provided line.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the provided line.

So, the slope of the perpendicular line is \(\(\frac{2}{1}\)\) or simply 2.

3. Use the slope and the provided point to obtain the equation of the perpendicular line.

We can use the point-slope form of a line to determine the equation:

y - y1 = m(x - x1)

where x1, y1 is the provided point and m is the slope.

Substituting the provided point (1, 3) and the slope 2 into the equation, we have:

y - 3 = 2(x - 1)

4. Convert the equation to standard form.

To convert the equation to standard form, we expand the expression:

y - 3 = 2x - 2

2x - y = -1

Rearranging the equation in the form (Ax + By = C), where A, B, and C are constants, we obtain the standard form:

2x - y = -1

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To find a quadratic equation with the y-intercept and vertex, follow these steps: identify the coordinates of the y-intercept and vertex, substitute them into the general form of the quadratic equation, solve for the coefficients, and substitute the coefficients back into the equation. For example, if the y-intercept is (0, 3) and the vertex is (-2, 1), the quadratic equation would be y = x^2 + x + 3.

To find a quadratic equation with the y-intercept and vertex, we can follow these steps:

For example, let's say the y-intercept is (0, 3) and the vertex is (-2, 1). We can substitute these coordinates into the general form of the quadratic equation:

3 = a(0)^2 + b(0) + c

1 = a(-2)^2 + b(-2) + c

Simplifying these equations, we get:

c = 3

4a - 2b + c = 1

By substituting c = 3 into the second equation, we can solve for a and b:

4a - 2b + 3 = 1

4a - 2b = -2

2a - b = -1

By solving this system of equations, we find a = 1 and b = 1. Substituting these values back into the general form of the quadratic equation, we obtain the final equation:

y = x^2 + x + 3

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To find a quadratic equation with a given y-intercept and vertex, you need the coordinates of the vertex and one additional point on the curve.

Example:

Suppose we want to find a quadratic equation with a y-intercept of (0, 4) and a vertex at (2, -1).

To find a quadratic equation with a given y-intercept and vertex, you can use the vertex form of a quadratic equation and substitute the coordinates to obtain the equation. Then, use the y-intercept to find an additional point on the curve and solve a system of equations to determine the coefficients. Finally, substitute the coefficients into the standard form of the quadratic equation to get the final equation.

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Answer:

110

Step-by-step explanation:

Rate or proportion shows the relationship between the variation in the  number of two variables.

Given that the ratio of alternative songs to total songs is 9:14.

Total songs = 308

Since the to every 14 total songs, there is 9 alternative songs.

Thus,

Number of alternative songs = \(\frac{9}{14}\) x 308

                                                = 198

There are 198 alternative songs in the music library.

The number of songs that are NOT alternative songs = 308 - 198

                                                                                         = 110

Thus, there are 110 songs that are NOT alternative songs.

Answer:

3 x X - 14

Step-by-step explanation:

Is your algebra expression.

Answer:

3x-14

Step-by-step explanation:

Product of 3 and number is 3*x

For " 14 fewer than.." we simply subtract 14.

So we get 3x-14

Answer:

x = 2 or x = -2

Step-by-step explanation:

5x² - 15 = 5​

⇌

5x² = 15 + 5

⇌

5x² = 20

⇌

x² = 20/5 = 4

⇌

x² = 2²

⇌

x² - 2² = 0

⇌

(x - 2)(x + 2) = 0

⇌   we use the zero product property

x - 2 = 0 or x + 2 = 0

⇌

x = 2 or x = -2

Therefore, the probability that Team A wins the series given that they have already won the first game is 0.36 or 36%.

To calculate the probability that Team A wins the series given that they have already won the first game, we can consider the different possible scenarios for the remaining games. For Team A to win the series, they need to win at least one of the next two games. Let's analyze the possible outcomes:

Team A wins the second game and wins the series. Team A loses the second game but wins the third game and wins the series. The probability of Team A winning the second game is 0.2, and the probability of Team A winning the third game is also 0.2. Using these probabilities, we can calculate the probability of each scenario:

Scenario 1:

P(A wins second game and wins series) = P(A wins second game)

= 0.2

Scenario 2:

P(A loses second game but wins third game and wins series) = P(A loses second game) * P(A wins third game)

= (1 - 0.2) * 0.2

= 0.8 * 0.2

= 0.16

Now, we can add up the probabilities of both scenarios to find the overall probability that Team A wins the series:

P(A wins series | A wins first game) = P(A wins second game and wins series) + P(A loses second game but wins third game and wins series)

= 0.2 + 0.16

= 0.36

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Dialogue can be used today to foster understanding and reconciliation between Indigenous and non-Indigenous Canadians by providing a platform for sharing perspectives, addressing historical truths, and promoting empathy and mutual respect.

Dialogue plays a crucial role in facilitating communication and understanding between different groups. In the context of Indigenous and non-Indigenous Canadians, dialogue can help bridge the gap between their beliefs and histories. By engaging in open and respectful conversations, both groups can share their perspectives, beliefs, and experiences, leading to a deeper understanding of each other's truths.

Dialogue provides an opportunity to address historical truths and the impacts of colonization and assimilation policies on Indigenous communities. Through dialogue, non-Indigenous Canadians can gain a better understanding of the injustices and systemic issues faced by Indigenous peoples. It allows for the acknowledgement of past wrongs, promoting healing and reconciliation. Furthermore, dialogue encourages the development of empathy and mutual respect. By actively listening and engaging in dialogue, both Indigenous and non-Indigenous Canadians can develop a greater appreciation for each other's beliefs, values, and cultural heritage. It creates space for building connections, fostering trust, and working towards a more inclusive and equitable society.

Dialogue serves as a powerful tool to facilitate understanding, truth-telling, and reconciliation between Indigenous and non-Indigenous Canadians. It allows for the sharing of perspectives, addressing historical truths, and promoting empathy and mutual respect. Through dialogue, both groups can move forward in building stronger relationships and working towards a more just and inclusive society.

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As we have proved that every natural number N is congruent to the sum of its decimal digits modulo 9, by expressing N in terms of its digits modulo 9 and using the fact that 10 is congruent to 1 modulo 9.

To begin with, let's represent any natural number N in decimal notation as follows:

N = dₙ x 10ⁿ + dₙ₋₁ x 10ⁿ⁻¹ + ... + d₁ x 10 + d₀

Where dᵢ denotes the ith decimal digit from the right and n is the number of digits in N minus 1.

We can also express N in terms of its digits modulo 9 as follows:

N ≡ dₙ x 1ⁿ + dₙ₋₁ x 1ⁿ⁻¹ + ... + d₁ x 1 + d₀ (mod 9)

The reason for this is that 10 is congruent to 1 modulo 9, which means that any power of 10 is also congruent to 1 modulo 9. Therefore, we can replace 10ⁿ by 1ⁿ in the above expression without changing its congruence modulo 9.

Now, notice that each digit dᵢ can be written as a multiple of 9 plus a remainder rᵢ, such that 0 ≤ rᵢ ≤ 8. In other words:

dᵢ = 9 x qᵢ + rᵢ, where qᵢ is the quotient of dᵢ divided by 9.

Substituting this in the previous expression for N, we obtain:

N ≡ (9 x qₙ + rₙ) x 1ⁿ + (9 x qₙ₋₁ + rₙ₋₁) x 1ⁿ⁻¹ + ... + (9 x q₁ + r₁) x 1 + (9 x q₀ + r₀) (mod 9)

Expanding the products and using the fact that 9 is congruent to 0 modulo 9, we get:

N ≡ rₙ x 1ⁿ + rₙ₋₁ x 1ⁿ⁻¹ + ... + r₁ x 1 + r₀ (mod 9)

But the right-hand side of this expression is precisely the sum of the remainders of the digits of N when divided by 9, which is the same as the sum of its decimal digits modulo 9. Therefore, we have shown that N is congruent to the sum of its decimal digits modulo 9, as required.

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Complete Question:

Prove that every natural number N is congruent to the sum of its

decimal digits mod 9.

The money market fund pays the most over the 2-year period if the invested amount is $22,000.

First, let's calculate the final amount for the money market fund using the formula for compound interest,

\(A = P(1 + \frac{r}{n})^{nt}\)

Where:

A = Final amount

P = Principal amount (initial investment)

r = Annual interest rate (in decimal form)

n = Number of times interest is compounded per year

t = Number of years

For the money market fund:

P = $22,000

r = 5.1% = 0.051 (compounded daily)

n = 365 (daily compounding)

t = 2 years

\(A = 22,000(1 + \frac{0.051}{365})^{365*2}\)

Now, let's calculate the final amount for the treasury note using simple interest:

A = P(1 + rt)

For the treasury note:

P = $22,000

r = 5.3% = 0.053

t = 2 years

A = 22,000(1 + 0.053*2)

By calculating the values, we find that the final amount for the money market fund is greater than the final amount for the treasury note. Therefore, the money market fund pays the most over the 2-year period.

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The answer is option B: 224 square in.

What is dimensions?

dimensions refer to the measurable physical quantities or characteristics of an object or system. The term can have different meanings depending on the context.

In mathematics, dimensions refer to the number of coordinates needed to specify a point in space. For example, a point in two-dimensional space (such as a piece of paper) can be specified with two coordinates (x,y), while a point in three-dimensional space (such as a cube) requires three coordinates (x,y,z).

we can see that the solid figure has 6 faces, each of which is a rectangle. We can label the dimensions of each face as follows:

Top face: L x W

Bottom face: L x W

Front face: W x H

Back face: W x H

Left face: L x H

Right face: L x H

From the given information, we have L : W = 4 in and H = 12 in.

To find the surface area of the solid figure, we need to calculate the area of each of its faces and then add them up. Using the dimensions above, we can calculate the area of each face as follows:

Area of top face = L x W = (4 in) x (1 in) = 4 in^2

Area of bottom face = L x W = (4 in) x (1 in) = 4 in^2

Area of front face = W x H = (1 in) x (12 in) = 12 in^2

Area of back face = W x H = (1 in) x (12 in) = 12 in^2

Area of left face = L x H = (4 in) x (12 in) = 48 in^2

Area of right face = L x H = (4 in) x (12 in) = 48 in^2

Therefore, the total surface area of the solid figure is:

Total surface area = Area of top + Area of bottom + Area of front + Area of back + Area of left + Area of right

Total surface area = 4 in^2 + 4 in^2 + 12 in^2 + 12 in^2 + 48 in^2 + 48 in^2

Total surface area = 128 in^2

Hence, the answer is option B: 224 square in.

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Answer:

The answer to the test is 1. B 2.C 3.B 4.A and this is one is C for the answer.

Answer:

A= P(1+r)^x

$2025

Step-by-step explanation:

Given data

Principal=  $1000

Rate= 4%

1. - Develop a function to show the amount in the savings account after x years

Time= x years

The function is

A= P(1+r)^x

2.  How much money will be in the account when Theo is 18 and ready for college?

Time= 18 years

A= 1000(1+0.04)^18

A=1000(1.04)^18

A=1000*2.025

A=$2025

Answer:

\( \frac{2}{3} \)

Approx : 0.66

Step-by-step explanation:

\(( - 2 + 12 - {2}^{3}) \div {2}^{0} \times 3 \\ (- 2 + 12 - 8) \div 1 \times 3 ( expla \\ ation \: {2}^{3} = 8 \: and \: {2}^{0} = 1 ) \\ = (10 - 8) \div 3 \\ = 2 \div 3 \\ = 0.66\)

Answer:

68 in^2

Step-by-step explanation:

Area of two trapezoids:

(7+3)5 = 50

Area of two squares:

2(3x3) = 2(9) = 18

50 + 18 = 68

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

68

Step-by-step explanation:

3x3=9 (top square)

3x3=9 (bottom square)

(1/2) (5) (2) = 5 (triangle 1)

(1/2) (5) (2) = 5 (triangle 2)

(1/2) (5) (2) = 5 (triangle 3)

(1/2) (5) (2) = 5 (triangle 4)

10 x 3 = 30 (middle rectangle)

9+9+5+5+5+5+30=68

The probability that at most 3 of the parts are defective is 0.9129 (or approximately 0.91 when rounded to two decimal places).

Let's assume we want to compute the probability that at most 3 of the parts are defective when randomly selecting 10 parts. The probability of a part being defective is 0.13.

1: Calculate the individual probabilities for each possible number of defective parts.

P(X = 0) = (10C0) * (0.13^0) * (0.87^(10-0)) = 0.0870

P(X = 1) = (10C1) * (0.13^1) * (0.87^(10-1)) = 0.2570

P(X = 2) = (10C2) * (0.13^2) * (0.87^(10-2)) = 0.3326

P(X = 3) = (10C3) * (0.13^3) * (0.87^(10-3)) = 0.2363

2: Sum up the individual probabilities to find the probability of at most 3 defective parts.

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0870 + 0.2570 + 0.3326 + 0.2363 = 0.9129

Therefore, the probability is 0.9129.

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If we know the DFT value for a certain index k (0 < k < M-1) of a real sequence x[n], we can determine the DFT value for another index k2 (0 < k2 < M-1) if k2 is related to k through complex conjugation. In other words, if k2 is the conjugate of k, then we can determine the DFT value for k2.

For a real sequence, the DFT values follow a symmetry property. If X[k] is the DFT value at index k, then X[M - k] is the DFT value at index k2, where k2 = M - k. The value of the DFT for k2 would be the complex conjugate of the DFT value for k, denoted as X[M - k] = X[k]*. The asterisk (*) represents complex conjugation.

In summary, if we know the DFT value for a certain index k in a real sequence, we can determine the DFT value for the index k2 = M - k, and the value of the DFT for k2 would be the complex conjugate of the DFT value for k.

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Answer:

part a= -1

part b= -4

Step-by-step explanation:

f(x) is y. plug in -4 for y and check x

Answer:

f(x) is y. plug in -4 for y and check x

Step-by-step explanation:

Let the number be "x" , then according to the question :

• 2x - 12 = -8

Further solving

→ 2x = -8 + 12

→ 2x = 4 .

→ x = 2

★ Solution :

Let number be n.

\(\rule{130}{1}\)

☯ \(\underline{\boldsymbol{According\: to \:the\: Question\:now :}}\)

\(:\implies\sf 2n - 12 = -8 \\\\\\:\implies\sf 2n = -8 + 12\\\\\\:\implies\sf 2n = 4\\\\\\:\implies\sf n = \dfrac{4}{2}\\\\\\:\implies\underline{\boxed{\sf n = 2}}\:\:\:\:\:\Bigg\lgroup\bf{Required\: number}\Bigg\rgroup\)

\(\therefore\:\underline{\textsf{The required number is \textbf{2}}}.\)

He rented the pressure washer for 4 hours, given that the total bill was $86.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.

Let x = total number of hours he rented the pressure washer

The total bill, which was $86, includes the flat fee of $50 plus $9 per hour of use.

Hence, the equation will be 50 + 9x = 86.

Solve for x.

50 + 9x = 86

9x = 86 - 50

9x = 36

x = 4

total number of hours he rented the pressure washer = 4

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Answer:

D. direct variation; y = 1.5x

Step-by-step explanation:

9/6 = 1.5

12/8 = 1.5

answer is C Direct variation, y = 1.5x

...............................................................................................................................................

The answer is c. Direct variation; y=1.5x

Step-by-step explanation: