Which is the correct answer?

Answer:

i

Step-by-step explanation:

is

coooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooool

Answer:

What tiles need to be added to both sides to remove the smaller x-coefficient?

✔ 5 negative x-tiles

What tiles need to be added to both sides to remove the constant from the right side of the equation?

✔ 4 negative unit tiles

What is the solution?

✔ x = –6

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

Answer:

E=1/2mv2, v/10./17

Step-by-step explanation:

Hello !

you made a typo with the c^-2 because otherwise it does not make a round result

\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)

Answer:

$100.87 (to the nearest cent)

Step-by-step explanation:

1 gallon = 27 miles

⇒ number of gallons needed to drive 838 miles = 838 ÷ 27 = 31.0370370... gallons

1 gallon = $3.25

⇒ total cost to drive 838 miles = 3.25 x 838/27 = $100.87 (to the nearest cent)

Answer:

Domain: (-∞, ∞)
Range: [-2, ∞)

Step-by-step explanation:

The domain of any parabola is (-∞, ∞)
The range of this parabola is [-2, ∞) because the vertex is at (-2, -2).

Thomas' installment payment that he pays in one fortnight is approximately k523.08.

To calculate Thomas' installment payment, we need to consider the principal amount (k10,000) and the interest rate (36%).

First, let's calculate the total amount to be repaid at the end of the year, including the interest. The interest is calculated as a percentage of the principal amount:

Interest = Principal × Interest Rate

= k10,000 × 0.36

= k3,600

The total amount to be repaid is the sum of the principal and the interest:

Total Amount = Principal + Interest

= k10,000 + k3,600

= k13,600

Now, we need to calculate the number of fortnights in a year. There are 52 weeks in a year, and since each fortnight consists of two weeks, we have:

Number of Fortnights = 52 weeks / 2

= 26 fortnights

To find the installment payment for each fortnight, we divide the total amount by the number of fortnights:

Installment Payment = Total Amount / Number of Fortnights

= k13,600 / 26

≈ k523.08

Therefore, Thomas' installment payment that he pays in one fortnight is approximately k523.08.

It's important to note that this calculation assumes equal installment payments over the course of the year. Different repayment terms or additional fees may affect the actual installment amount. It's always advisable to consult with the bank or financial institution for accurate information regarding loan repayment.

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Answer:

30(3+x) is the answer to your question:)

Answer:

3x(12x-5)(3x-2)..........

Answer:

Step-by-step explanation: true

The equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept.

Given points:

Point 1: (1, 0)

Point 2: (3, 6)

Step 1: Calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates:

m = (6 - 0) / (3 - 1)

m = 6 / 2

m = 3

Step 2: Substitute one of the given points and the slope into the equation y = mx + b to find the y-intercept (b).

Using Point 1 (1, 0):

0 = 3(1) + b

0 = 3 + b

b = -3

Step 3: Write the equation of the line using the slope (m) and the y-intercept (b):

y = 3x - 3

Therefore, the equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

This equation represents a line with a slope of 3, indicating that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 3 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3). By substituting any x-value into the equation, we can determine the corresponding y-value on the line.

Hence, the equation of the line passing through (1, 0) and (3, 6) is y = 3x - 3.

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Answer:

\(r^2 sin2\theta = 12\)

Step-by-step explanation:

Given

\(xy = 6\)

Required

Get polar equivalent

Polar coordinate \((r, \theta)\) and rectangular coordinate \((x,y)\) are related in such a way that:

\(x = rcos\theta\) and \(y = rsin\theta\)

So, substitute \(x = rcos\theta\) and \(y = rsin\theta\) in \(xy = 6\)

\(rcos\theta * rsin\theta = 6\)

This can be rewritten as:

\(r * cos\theta * r * sin\theta = 6\)

Reorder

\(r * r * cos\theta * sin\theta = 6\)

\(r^2 * cos\theta * sin\theta = 6\)

Multiply both sides by 2

\(2 * r^2 * cos\theta * sin\theta = 6 * 2\)

\(2 * r^2 * cos\theta * sin\theta = 12\)

Reorder

\(r^2 * 2 * cos\theta * sin\theta = 12\)

\(r^2 * 2cos\theta sin\theta = 12\)

In trigonometry:

\(sin2\theta = 2sin\theta cos\theta = 2cos\theta sin\theta\)

So, the expression becomes

\(r^2 * sin2\theta = 12\)

\(r^2 sin2\theta = 12\)

Hence, the equivalent of \(xy = 6\) is \(r^2 sin2\theta = 12\)

Answer:

26

Answer:

26:100    

Step-by-step explanation:

Simplified it would be 13/50

Points A, B, C, D, and E are collinear and in that order. The value of Ac is 18.

According to the segment addition postulate, if two points on a line segment, A and C, are given, a third point, B, will only be found on line segment AC if and only if the distances between the points satisfy the conditions of the equation AB + BC = AC.

Keep in mind that a line segment is a portion of a line that has two distinct end points. There are many points between the two end points that make up the object.

The segment addition postulate can be stated more simply by saying that if point B lies on line segment AC, then AB + BC will equal AC.

by the segment addition postulate,

AC + CE = AE so AC = AE - CE

AC = (x+50) - (x+32)

AC = x+50-x-32

AC = 18

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Answer:

y=1.1×10¹

Step-by-step explanation:

y=-4+15

y=11

y=1.1×10¹

The \(& r_x(h)+r_y(h) \\\) mean and autocovariance functions are free of t , the process \($\left\{X_t+Y_t\right\}$\) is stationary.

Solution: \($\left\{x_t\right\} \&\left\{y_t\right\}$\) are uncorrelated stationary process i.e.\($x_\gamma \& I_s$\) ax uncorrelated for every r and s process \($\left\{x_t+y_t\right\}$\) is stationary.

The sum of the autocovariance functions of {\(x_{t}\)} and {\(y_{t}\)}.

The autocovariance function (ACF) is defined as the sequence of covariances of a stationary process. That is suppose that {Xt} is a stationary process with mean zero, then {c(k) : k 2 Z} is the ACF of {Xt} where c(k) = E(X0Xk). Clearly different time series give rise to different features in the ACF.

⇒Var\(& \left(X_t+Y_t\right)={Var}\left(X_t\right)+{Var}\left(Y_t\right) \\\)

⇒\(& E\left(X_t+Y_t\right)=\mu_x+\mu_y \\\)

⇒\(& r_{x+y}(h)={cov}\left(X_{t+h}+Y_{t+h}, X_t+Y_t\right) \\\)

\(& ={cov}\left(X_{t+h}, X_t\right)+{cov}\left(Y_{t+h}, Y_t\right)+0 \\\)

\(& =r_x(h)+r_y(h) \\\)

Since, the mean and autocovariance functions are free of t , the process \($\left\{X_t+Y_t\right\}$\) is stationary

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The probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

To find the probability that a student got an 'A' given they are male, we need to use Bayes' theorem:

P(A | Male) = P(Male | A) × P(A) / P(Male)

We can find the values of the terms in the formula using the information given in the table:

P(Male) = (25/54) = 0.46 (the proportion of all students who are male)

P(A) = (17/54) = 0.31 (the proportion of all students who got an 'A')

P(Male | A) = (3/17) = 0.18 (the proportion of all students who are male and got an 'A')

Therefore, plugging these values into the formula:

P(A | Male) = 0.18 × 0.31 / 0.46

P(A | Male) ≈ 0.12

So the probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

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The solutions to the system of equations are (x₁, y₁) = (9 / 2, 11) and (x₂, y₂) = (- 1, 0).

Herein we find a system formed by one linear equation and one nonlinear equation (quadratic equation). First, we equalize the two equations to eliminate the variable y:

2 · x² - 5 · x - 7 = 2 · x + 2

2 · x² - 7 · x - 9 = 0

2 · [x² - (7 / 2) · x - 9 / 2] = 0

2 · (x - 9 / 2) · (x + 1)

There are two solutions to x: x₁ = 9 / 2, x₂ = - 1. And the solutions for y are:

y₁ = 2 · (9 / 2) + 2

y₁ = 11

y₂ = 2 · (- 1) + 2

y₂ = 0

Then, the solutions to the system of equations are (x₁, y₁) = (9 / 2, 11) and (x₂, y₂) = (- 1, 0).

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Answer:

The area of the shaded region is 36.

Step-by-step explanation:

First, let's find the area of the rectangle as a whole, which will be 5*10 = 50. How did we get 50? The right side is 5 (from 2+3), and the top is 10 (3+7). Multiplying those numbers together will give you the area.

Now, the problem asks to find the shaded region. Let's solve for the area of the non-shaded region: (7*2) = 14.

Now, we can subtract the whole rectangle area minus the non-shaded region to find the shaded region:

50 - 14 = 36

Answer:

y = 0.1x+200

Step-by-step explanation:

First, let's establish that:

x is independent

y is dependent

Basically, the value of y will depend on what x is.

The problem states that the slope of the line is Dave's comission, so since he makes 10% of comission, we can make the slope as 0.1x (mx)

The problem also states that the y intercept (b) is Dave's base salary, and earlier in the problem it states that his base salary is $200 a week. Therefore, b=200

now, the equation is:

y=0.1x+200

Hope this helps!

Answer:

first blank is "Permutation", i dont know what the second blank is but its not 17550

Step-by-step explanation:

This is an example of a permutation. There are 421,200 possible arrangements of first through fourth place winners.

"A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order."

We need to arrange 27 swimmers for 4 positions

Hence, the numbers are 27P4

= \(\frac{27!}{(27-4)!}\)

\(=\frac{27.26.25.24.23!}{23!}\)

\(=421,200\)

Hence, the given situation is an example of permutation with 421,200 possible arrangements.

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Answer:

B. 1 inch = 0.5 miles

Step-by-step explanation:

trust

Growth Rate: According to the problem the bob will be approximately 6'3 when he is 19.

Growth rate is the rate at which a company’s revenue expands over time. It is typically measured by comparing the company’s current revenue to its previous revenue. Growth rate can be calculated using the formula (Current Revenue – Previous Revenue)/Previous Revenue. It can be used to gauge the success of a company’s sales or marketing efforts. Companies with higher growth rates are usually seen as more successful and attractive investments.

This is because his growth rate of 1 1/2 every 2 years is equivalent to 3/4 inch per year.
So we can calculate his height at 19 by multiplying 3/4 by 19, which is 14 1/4.
Adding this to his original height of 2'3 gives us a total of 6'3.

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Answer:

14

Step-by-step explanation:

1. Add 7 to both sides

2. This leaves us with x=14

Answer:

The width is 87 cm

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

8613 = 99 * w

Divide each side by 99

8613 / 99 = 99 w /99

87 = w

The width is 87 cm

Answer:

Step-by-step explanation:

Given

The area of a rectangular painting=8613 cm^2

Length of painting=99cm

Solution

Area of the rectangular painting=8613

Length×width=8613

99×width=8613

Width=8613/99

Width =87cm

The graph of the equation is shown below

From the question, we are to graph the given equation

The given equation is

-3 = 5x - y

To graph the equation,

First we will determine the x-intercept and y-intercept

x-intercept

Put y = 0 in the equation

-3 = 5x - 0

-3 = 5x

x = -3/5

y-intercept

Put x = 0 in the equation

-3 = 5(0) - y

-3 = 0 - y

-3 = -y

y = 3

Using the x-intercepts and y-intercepts, we can plot the graph of the equation.

The graph of the equation is shown below

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The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.

To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.

The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.

When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.

The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.

To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.

The formula is:

θ = arcsin(h / r)

where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).

θ = arcsin(38 / 29) ≈ 1.0918 radians

Now, we know the angle at which the Ferris wheel is 38 meters above the ground.

To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.

The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.

Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:

Fraction = θ / (2π) ≈ 1.0918 / (2π)

Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:

Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes

Calculating this expression will give us the answer in minutes.

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Answer:

Answer will be 55898.

Step-by-step explanation: