If 2x minus 4 equals negative 18 what is x with shown work

Answer:

x=−3y+6; x=−4y−6

Step-by-step explanation:

Answer:

i think that one of the answers is (3,2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

4,6

Answer: p=-7

Step-by-step explanation:

To solve for p, you want to isolate the variable, get p alone. You would use different algebraic properties to do so.

30+6p=7p+42-5

30+6p=7p+37

-7=p

p=-7

If the standard deviation of sales is equal to some value, we can calculate the variance by squaring the standard deviation.

to answer the question, we need to understand the relationship between standard deviation and variance. the variance is the average of the   square   d differences from the mean, while the standard deviation is the square root of the variance.

in the concert sales dataset (containing sample data), the standard deviation of sales is equal to question 22select one: a. square of the mean sales value b. square of the variance of sales c. square root of the mean of sales d. square root of the variance of sales

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Answer:

-1.5

Step-by-step explanation:

"h is the amount of right-shift in the translation of the function. Here, the shift is 1.5 units to the left (and 3.5 units down). This make h = -1.5 (and k = -3.5)."

\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Equations.

In the following given equations, the option B.) , C.) and D.) are the answers, as the value of x gets cancelled from the side and thus the equations have no solutions.

Hence, Option, B),C) and D).

Answer:

BC

Step-by-step explanation:

Answer:

\(\frac{14}{25}\)

Step-by-step explanation:

per cent means 'out of 100 ' , then

56%

= \(\frac{56}{100}\) ( divide numerator/ denominator by 4 )

= \(\frac{14}{25}\) ← in simplest form

The probability that the length of the eel is less than 62 centimeters is 0.0985.

In the given question, the length, x centimeters, of eels in a river may be assumed to be normally distributed with mean 53 and standard deviation 7.

An angler catches an eel from the river.

We have to determine the probability that the length of the eel is less than 62 centimeters.

Eels in a river may be assumed to be normally distributed with mean = μ = 53

Eels in a river may be assumed to be normally distributed with standard deviation = σ = 7

Now the probability that the length of the eel is less than 62 centimeters is

P(x > 62) = 1 - P(x < 62)

P(x > 62) = 1 - P((x - μ)/σ < (62 - 53)/7)

P(x > 62) = 1 - P(z < 1.29)

P(x > 62) = 1 - 0.9015

P(x > 62) = 0.0985

Hence, the probability that the length of the eel is less than 62 centimeters is 0.0985.

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First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

The comparison of the values 4/5 and 0.9 using a benchmark of 1 indicates that 0.9 > 4/5

A benchmark is a point of reference to which two or more quantities can be compared such that it can be used to provide a values guagemark indication

A benchmark that is commonly used is 1

Therefore;

Converting 4/5 into decimals, to be in the same format as 0.9, we get;

4/5 = 0.8

The numbers 0.8 and 0.9, compared with 1 indicates that

1 is larger than 0.8 and 0.9 and 0.9 is closer to 1 in value than 0.8, therefore;

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Answer:

Step-by-step explanation:

(-8x+7y)(-8x+7y)+(2x-2y)(2x-2y)

=64x²-56xy-56xy+49y²+(4x²-4xy-4xy+4y²)

=64x²-112xy+49y²+4x²-8xy+4y²

=68x²-120xy+53y²

Answer:

4:3.

Step-by-step explanation:

Number of boys = 12 and number girls = 16.

Ratio girls to boys = 16:12

= 4:3.

Based on the line of best fit, the approximate maximum depth of a lake that has 31 miles of shoreline is; 142.968 ft

The line of best fit is defined as a straight line which is drawn to pass through a set of plotted data points to give the best and most approximate relationship that exists between such data points.

Now, we are given a table of values that shows the total shoreline in miles which will be represented on the x-axis and then the maximum depth of several area lakes which will be represented on the y-axis.

However, when the geologist found the graph, she arrived at an equation of best fit as;

y = 4.26x + 10.908.

Thus, for 31 miles of shoreline, the approximate maximum depth is;

Approximate maximum depth = 4.26(31) + 10.908.

Approximate maximum depth = 142.968 ft

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Answer:

143 feet

Step-by-step explanation:

its technically 142 and change but edmentum rounds up

Answer:

4x-36

Step-by-step explanation:

Put together like terms

X plus 3x = 4x

The total area of the composite figure is approximately 120.99982329 square meters.

In a right triangle, the hypotenuse (the side across from the right angle) has a square length that is equal to the sum of the squares of the lengths of the other two sides. This is known as the Pythagorean theorem.

To find the side of the triangle with hypotenuse 10 and base 6 m, we can use the Pythagorean theorem.

x² + 6² = 10²

x² = 100 - 36

x² = 64

x = 8

The area of the triangle is given as:

Area of triangle = (base * height) / 2

Area of triangle = (6 * 8) / 2 = 24 square meters

The area of the rectangle is:

Area of rectangle = length * width = 12 * 8 = 96 square meters

The area of the semicircle can be found as:

Area of semicircle = (π * radius²) / 2

radius = diameter / 2 = 3 / 2 = 1.5 cm or radius = 0.015 meters

Now,

Area of semicircle = (π * 0.015²) / 2 ≈ 0.00017671 square meters

The area of the composite figure is:

Area = (Area of rectangle + Area of triangle) - Area of semicircle

= (96 + 24) - 0.00017671

≈ 120.99982329 square meters

Hence, the final area of the composite figure is approximately 120.99982329 square meters.

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The condition number of a matrix W is defined as the ratio of its largest singular value to its smallest singular value.

In this case, the singular values of W are given as σ₁ = 3 and σ₂ = 1. Therefore, the condition number κ(W) can be calculated as κ(W) = σ₁/σ₂ = 3/1 = 3.

The condition number provides a measure of the sensitivity of the matrix W to changes in its input or output. A larger condition number indicates a higher sensitivity, meaning that small perturbations in the input or output can result in significant changes in the solution. A condition number of 3 suggests that W is moderately sensitive to such perturbations. It implies that the matrix may be ill-conditioned, which can lead to numerical instability and difficulties in solving linear equations involving W.

To perform a gradient descent update step for W using a learning rate of λ = 0.1, we can follow these steps:

Initialize W with the given values: W = [0.1, 0.2; 0.1, 0.3].

Compute the predicted output y_pred by multiplying W with the input x: y_pred = W * x = [0.1, 0.2; 0.1, 0.3] * [1; 1] = [0.3; 0.4].

Compute the gradient of the loss function with respect to W: ∇L(W) = -2 * x * (y - y_pred) = -2 * [1, 1] * ([1, 2] - [0.3, 0.4]) = -2 * [1, 1] * [0.7, 1.6] = -2 * [2.3, 3.6] = [-4.6, -7.2].

Update W using the gradient and learning rate: W_new = W - λ * ∇L(W) = [0.1, 0.2; 0.1, 0.3] - 0.1 * [-4.6, -7.2] = [0.1, 0.2; 0.1, 0.3] + [0.46, 0.72] = [0.56, 0.92; 0.56, 1.02].

After one gradient descent update step, the new value of W is [0.56, 0.92; 0.56, 1.02].

The purpose of using momentum in optimization algorithms, such as gradient descent with momentum, is to accelerate convergence and overcome certain issues associated with vanilla gradient descent.

In vanilla gradient descent, the update at each step depends solely on the gradient of the current point. This can result in slow convergence, oscillations, and difficulties in navigating steep or narrow valleys of the loss function. The problem is that the update direction may change significantly from one step to another, leading to zig-zagging behavior and slow progress.

Momentum addresses these issues by introducing an additional term that accumulates the past gradients' influence. It helps smooth out the updates and provides inertia to the optimization process. The momentum term accelerates convergence by allowing the optimization algorithm to maintain a certain velocity and to continue moving in a consistent direction.

By incorporating momentum, the update step considers not only the current gradient but also the accumulated momentum from previous steps. This helps to dampen oscillations, navigate valleys more efficiently, and speed up convergence. The momentum term effectively allows the optimization algorithm to "remember" its previous direction and maintain a more stable and consistent update trajectory.

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9514 1404 393

Answer:

  after 89 years

Step-by-step explanation:

For principal p, interest rate r, and number of years t, the two account balances are ...

  a = p·e^(rt) . . . . continuous compounding

  a = p(1+r)^t . . . . annual compounding

Using the given values, we have

  3000·e^(0.07t) . . . . . compounded continuously

  20000·1.05^t . . . . . . compounded annually

We want to find t so these are equal.

  3000·e^(0.07t) = 20000·1.05^t

  0.15e^(0.07t) = 1.05^t . . . . divide by 20,000

  ln(0.15) +0.07t = t·ln(1.05) . . . . take natural logarithms

  ln(0.15) = t·(ln(1.05) -0.07) . . . . subtract 0.07t

  t = ln(0.15)/(ln(1.05) -0.07) ≈ -1.8971/-0.02121 . . . . . divide by the coefficient of t

  t ≈ 89.4 ≈ 89

The two accounts will have the same balance after 89 years.

The difference between the upper curve (y = 2 - 2x^2) and the lower curve (y = 2 cos(pi x/2)) with respect to x over the given interval Area = ∫[from -1.316 to 1.316] (2 - 2x^2 - 2 cos(pi x/2)) dx.

To find the area of the region enclosed by the curves y = 2 cos(pi x/2) and y = 2 - 2x^2, we need to determine the points of intersection between the two curves and integrate the difference between them over the common interval.

Let's start by setting the two equations equal to each other:

2 cos(pi x/2) = 2 - 2x^2.

Simplifying this equation, we get:

cos(pi x/2) = 1 - x^2.

To solve for the points of intersection, we need to find the x-values where the two curves intersect. Since the cosine function has a range between -1 and 1, we can rewrite the equation as:

1 - x^2 ≤ cos(pi x/2) ≤ 1.

Now, we solve for the values of x that satisfy this inequality. However, finding the exact analytical solution for this equation can be challenging. Therefore, we can approximate the points of intersection numerically using numerical methods or graphing technology.

By plotting the graphs of y = 2 cos(pi x/2) and y = 2 - 2x^2, we can visually determine the points of intersection. From the graph, we can observe that the two curves intersect at x-values approximately -1.316 and 1.316.

Now, we integrate the difference between the two curves over the common interval. Since the curves intersect at x = -1.316 and x = 1.316, we integrate from x = -1.316 to x = 1.316.

To calculate the area, we integrate the difference between the upper curve (y = 2 - 2x^2) and the lower curve (y = 2 cos(pi x/2)) with respect to x over the given interval:

Area = ∫[from -1.316 to 1.316] (2 - 2x^2 - 2 cos(pi x/2)) dx.

Evaluating this integral will give us the area of the enclosed region.

It's important to note that since the integral involves trigonometric functions, evaluating it analytically might be challenging. Numerical integration methods, such as Simpson's rule or the trapezoidal rule, can be used to approximate the integral and calculate the area numerically.

Overall, to find the exact area of the region enclosed by the curves y = 2 cos(pi x/2) and y = 2 - 2x^2, we need to evaluate the integral mentioned above over the common interval of intersection.

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Answer:

7-

Step-by-step explanation:

Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

Answer: The Answer to your question is 41

Step-by-step explanation:

I did this equasion for homework and got it wrong the answer was 41 when it was checked

9514 1404 393

Answer:

  J Compound interest; $298.65

Step-by-step explanation:

Interest compounding pays interest on the interest. For the same annual rate, any amount of compounding will earn more interest.

For short time periods, the effect of compounding is not great. In general, it will be a fraction of the equivalent simple interest rate. Here, the effective multiplier for annual compounding is ...

  1.051^4 = 1.22024337

and the effective multiplier for simple interest is ...

  1 +0.051·4 = 1.204

Then the difference in interest rate multiplier for the 4-year period is ...

  1.22024337 -1.204 = 0.01614337

That fraction of the $18500 principal is $298.65.

Compound interest earns $298.65 more than simple interest in this scenario.

The resulting triangle after reflecting ∆PQR in the line y = -1 and rotating it 90° counterclockwise about the point R is ∆P''Q''R'' with vertices P''(5, 2), Q''(5, 2), and R''(6, -2).

To reflect the triangle ∆PQR in the line y = -1, we can find the images of each vertex by reflecting them across the line.

The reflection of a point (x, y) across the line y = -1 can be obtained by keeping the x-coordinate the same and negating the y-coordinate.

For vertex P(2, 4):

The image of P after reflection will be P' with coordinates (2, -3).

For vertex Q(2, 2):

The image of Q after reflection will be Q' with coordinates (2, -3).

For vertex R(6, 2):

The image of R after reflection will be R' with coordinates (6, -2).

Now, to rotate the reflected triangle 90° counterclockwise about the point R(6, -2), we can use the rotation formulas.

The rotation of a point (x, y) counterclockwise by 90° about the point (a, b) can be obtained using the following formulas:

x' = a + (y - b)

y' = b - (x - a)

Applying these formulas to each vertex of the reflected triangle:

For vertex P', which is (2, -3):

x' = 6 + (-3 - (-2)) = 6 + (-1) = 5

y' = -2 - (2 - 6) = -2 - (-4) = 2

The image of P' after rotation will be P'' with coordinates (5, 2).

For vertex Q', which is (2, -3):

x' = 6 + (-3 - (-2)) = 6 + (-1) = 5

y' = -2 - (2 - 6) = -2 - (-4) = 2

The image of Q' after rotation will be Q'' with coordinates (5, 2).

For vertex R', which is (6, -2):

x' = 6 + (-2 - (-2)) = 6 + (0) = 6

y' = -2 - (6 - 6) = -2 - (0) = -2

The image of R' after rotation will be R'' with coordinates (6, -2).

Therefore, the resulting triangle after reflecting ∆PQR in the line y = -1 and rotating it 90° counterclockwise about the point R is ∆P''Q''R'' with vertices P''(5, 2), Q''(5, 2), and R''(6, -2).

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Answer:

3/68

Step-by-step explanation:

Option- D is correct that is the probability that at most 27 heads occur is 0.99999994.

Given that,

A fair coin is tossed 29 times.

We have to find what is the probability that at most 27 heads occur.

We know that,

A fair coin is tossed 29 times.

n=29

Probability of heads p=1/2

q= 1-p

q=1-1/2=1/2

We get

P (X=x) = ⁿCₓ qⁿ⁻ˣ pˣ

Now, the probability that at most 27 heads occurs is

P(X<27)

=1-[P(X=28)+ P(X=29)]

=1-[²⁹C₂₈(1/2)²⁹⁻²⁸(1/2)²⁸- ²⁹C₂₉(1/2)²⁹⁻²⁹(1/2)²⁹]

=1-[²⁹C₂₈(1/2)²⁹- ²⁹C₂₉(1/2)²⁹]

=1-[28+1](1/2)²⁹

=1-29×0.00000000186

=0.999999945

Therefore, Option- D is correct that is the probability that at most 27 heads occur is 0.99999994.

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Answer:

Step-by-step explanation:

Row with x:

The last row:

Answer:

you subtract from the  x

Step-by-step explanation:

Answer:

67.5

Step-by-step explanation:

A=pq/2= (45)(3)/2= 67.5

Answer:

The answer would be 1/6

The probability that both jurors selected are female is 1/6.

For a criminal trial, 8 active and 4 alternate jurors are selected.

Two of the alternate jurors are male and two are female.

During the trial, two of the active jurors are dismissed.

The judge decides to randomly select two replacement jurors from the 4 available alternates.

Total numbers of selected candidates is;

8 + 4 = 12

The judge decides to randomly select two replacement jurors from the 4 available alternates.

Therefore,

The probability that both jurors selected are female is;

\(= \dfrac{2}{12}\\\\= \dfrac{1}{6}\)

Hence, the probability that both jurors selected are female is 1/6.

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