How? I don't fully understand this

Answer: 7.5

Step-by-step explanation:

\(-15=\frac{x}{-0.5}\\\\-15=-2x\\\\x=\boxed{7.5}\)

Step-by-step explanation:

No solutions. Both equations on the graph are parallel from each other, making it impossible to find a solution. When both lines intersect, that means a ordered pair (x) and (y) work as valid solutions to the equations.

The integral for the total charge Q is given by: Q = ∫∫D σ(u,v) |J(u,v)| dudv= ∫∫D (u/v cos(u)) (1/v) dudv= ∫∫D u cos(u) v^-2 dudv= ∫1^2 ∫u^2u cos(u) v^-2 dv du

The given charge density function for a 2D plate is σ(x,y)= x cos( xy).

To find the total charge Q, we need to integrate this charge density function over the given region R. The given region is R: 1≤y≤2 and y,1≤x≤y, which can be written in the form:

R: {(x,y) : 1≤y≤2, y≤x≤y,1}

a) The integral for the total charge Q in Cartesian coordinates is given by:

Q = ∫∫R σ(x,y) dA

where dA = dx dy.

But this is not the best coordinate system to use because the limits of integration are not easy to find and also the given function is not easy to integrate in Cartesian coordinates.

b) Let us make the following change of variables: u = xy, v = y

Then, the inverse of this transformation is: y = v, x = u/v and the Jacobian matrix of the transformation is given by:

\(∂(x,y)/∂(u,v) = $\begin{bmatrix} \frac{\partial x}{\partial u} & \frac{\partial x}{\partial v} \\ \frac{\partial y}{\partial u} & \frac{\partial y}{\partial v} \end{bmatrix}$= $\begin{bmatrix} \frac{1}{v} & \frac{u}{v^2} \\ 0 & 1 \end{bmatrix}$\)

Therefore, the integral for the total charge Q can be written as:

Q = ∫∫R σ(x(u,v),y(u,v)) |J(u,v)| dudv= ∫∫D σ(u,v) |J(u,v)| dudv

where D is the transformed region {(u,v) : 1≤v≤2, 1≤u≤v^2}, J(u,v) is the Jacobian of the transformation, which is equal to

\(det $\begin{bmatrix} \frac{1}{v} & \frac{u}{v^2} \\ 0 & 1 \end{bmatrix}$ = $\frac{1}{v}$, and dudv = |J(u,v)| du dv.c)\)

Substituting the transformed coordinates into the expression for σ(x,y), we have: σ(x,y) = x cos(xy) = u/v cos(u)

Therefore, the integral for the total charge Q is given by:

Q = ∫∫D σ(u,v) |J(u,v)| dudv= ∫∫D (u/v cos(u)) (1/v) dudv= ∫∫D u cos(u) v^-2 dudv= ∫1^2 ∫u^2u cos(u) v^-2 dv du

This integral can be evaluated using integration by parts.

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Without the specific expression provided, I am unable to evaluate the boolean expression. However, I can explain how boolean evaluation works in C based on the given information.

In C, boolean expressions are evaluated using comparison operators, such as equal to (==), not equal to (!=), greater than (>), less than (<), greater than or equal to (>=), and less than or equal to (<=). These operators compare two values and return either 1 or 0 based on the result of the comparison. The boolean evaluation is left associative, meaning that the operators are evaluated from left to right.

C does not have boolean literals like true or false. Instead, it uses integers 1 and 0 to represent true and false, respectively. If an expression evaluates to a non-zero value, it is considered true, and if it evaluates to zero, it is considered false. Any other non-zero value will be coerced to 1 (true).

To evaluate a specific boolean expression, the expression itself needs to be provided so that it can be analyzed according to the rules described above.

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The boolean evaluation of the expression "true or false" in C would yield the value true, represented by the integer 1.

In C, the logical OR operator (||) is used to evaluate expressions and produce a boolean result. The OR operator evaluates to true if at least one of its operands is true; otherwise, it evaluates to false.

In the given expression "true or false", the term "true" is not a boolean evaluation literal in C but rather an unspecified value. However, since C coerces any non-zero value to true, the term "true" would be evaluated as true, represented by the integer 1. On the other hand, the term "false" would be evaluated as false, represented by the integer 0.

Applying the logical OR operator to these operands, we have 1 || 0. Since one of the operands (1) is true, the overall expression evaluates to true, represented by the integer 1. Therefore, the boolean evaluation of the expression "true or false" in C would yield the value true, represented by the integer 1.

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Answer:

B) 3b. 10b

Step-by-step explanation:

B) 3b. 10b = (3x10)(bxb) = 30b²

Answer:

0.22

Step-by-step explanation:

Add all the probabilities together then subtract it from 1

\(0.37+0.23+0.18=0.78\)

\(1-0.78=0.22\)

Froude numbers are used to compare the inertial force to the gravitational force, allowing for dimensionless analysis.

Froude numbers are used to compare the inertial force to the gravitational force, allowing for dimensionless analysis. In this way, the same model can be used to represent different real-world systems, as the parameters that affect the performance of the model can be scaled up or down. This type of analysis allows for the study of a wide range of physical phenomena, from the motion of ships and aircraft to the flow of fluids through pipes and valves.

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Answer: Rs 60500

Step-by-step explanation:

Principal = Rs 50000 = p

Time = 7 years = t

Simple interest rate = 3% = r

Interest = p*t*r/100

using above formula,

50000*7*3/100=10500

So, final amount = principal + interest = 50000+10500 = Rs 60500

The price of the pair of sneakers should be multiplied by 1.08.

A percentage is a value that indicates 100th part of any quantity. The percent value of a quantity can be find by dividing the quantity given to the total value and then multiplying by 100. If a quantity is increased by x%, then it should be multiplied by (100 + x)% to get the new quantity.

Suppose the price of the pair of sneakers be x.

And, the sales tax is given as 8%.

Then, the price paid for tax is given as,

⇒ x × 8% = 8x/100

And, the total price is the sum of tax amount and the original price as written below,

⇒ x + 8x/100 = 108x/100

⇒ 1.08x

Hence, the number that should be multiplied is 1.08.

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Answer:

-8<x<2

Step-by-step explanation:

divide everything by 3 to get -6<x+2<4. next subtract 2 from everything to get -8<x<2

Mrs. Green can serve a total of six different combinations of two vegetables from the given options.

To find out, we can use the combination formula: \(nCr = n! / (r! * (n-r)!)\)

where n is the total number of items to choose from, and r is the number of items to choose. In this case, n = 4 (carrots, peas, okra, and green beans) and r = 2 (the number of vegetables to be served).

Therefore, the formula becomes: 4C2 = 4! / (2! * (4-2)!)

= (4 * 3 * 2 * 1) / [(2 * 1) * (2 * 1)]

= 6

Mrs. Green can serve six different sets of two vegetables with dinner. These are: carrots and peas, carrots and okra, carrots and green beans, peas and okra, peas and green beans, and okra and green beans.

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Answer:

<K ≅ <N

Step-by-step explanation:

JKL ≅ MNP

That means the angles are the same

<J ≅< M

<K ≅ <N

<L ≅<P

The sides are also congruent

JK ≅ MN

KL ≅ NP

JL ≅ MP

SOLUTION

From the diagram in the picture, the point (2, -3) is the point for Lake.

Hence the answer is Lake

Answer:

16.5

Step-by-step explanation:

627 divided by 38 equals 16.5.

16.5 is the amount earned per hour.

answer: slope = 1

Elisa's error is multiplying both sides of the equation by 4.

The correct solution to the equation is shown below and the value of x is 15/2 or 7.5.

In order to evaluate and solve this equation, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right. Lastly, the mathematical operations of addition or subtraction would be performed from left to right.

In this scenario and exercise, the first step is adding 3 to both sides of the equation as follows;

x/2 - 3 = 3/4

x/2 - 3 + 3 = 3/4 + 3

x/2 = 15/4

By cross-multiplying, we have the following:

4x = 30

x = 30/4

x = 15/2 or 7.5

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Answer:

see below

Step-by-step explanation:

90/7  ÷ 1 3/4

Change to an improper fraction

90/7 ÷ (4*1+3)/4

90/7 ÷7/4

Copy dot flip

90/7 * 4/7

360 /49

The exact answer is 7 17/49

To estimate I would round 49 to 50 and 360 to 350

350/50 is approximately 7 and since I rounded the numerator down and the denominator up,  the answer would be a little higher

The area is given by f(x) = 10x² + 31x + 15.

The function is a rectangle's area function. We know that a rectangle is a flat, four-sided shape with straight sides and right-angled interior angles. Additionally, the opposing sides are parallel and of the same length.

Rectangle Area = Length * Width

The length of fabric scrap is 5x. So, the rectangular patchwork's length will be 5x + 3.

Since the width of the fabric scrap will be 2x, the rectangular patchwork's width will be 2x + 5.

Then area = f(x) = (5x + 3)(2x + 5) = 10x² + 25x + 6x + 15 = 10x² + 31x + 15

Therefore the area is given by f(x) = 10x² + 31x + 15.

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Answer:

960 I believe.

Step-by-step explanation:

Answer: i belive x=1

27-28=1

2x-x

x

Step-by-step explanation: hope this helps

Answer:

step 1. if the prize were chosen first the probability would be (1/2)(1/4) = 1/8.

step 2. the probability would be the same as part A.

Answer:40

Step-by-step explanation:

40 beacause you have to round to the nearset 10

Answer:

The median is the same for both car

types, but Bandits have the lower

mean.

Step-by-step explanation:

From the boxplot attached, the median value for both car types can be clearly seen to be the same as the vertical line in between the box of both plots lie at the same point.

As for the mean which is the average of a set of data we could deduce from the plot that, the roadster data has a larger span than the bandit data with a far greater third percentile value. Hence, mean or average data for roadster will be higher Than that if bandits.

Given that `a = -47phi/5`.We need to find the real number in the interval (0, 2π) such that `P(t) = P(s)`.Let's start the solution.Using the formula `cos θ = Re(P(θ))` and `sin θ = Im(P(θ))`, we can write `P(t) = cos t + i sin t` and `P(s) = cos s + i sin s`.

Now, we have to find the real numbers `t` and `s` such that `P(t) = P(s)`.So, we have:

`cos t + i sin t = cos s + i sin s

`Comparing the real and imaginary parts, we get:`cos t = cos s` and `sin t = sin s`Now, consider the interval `(0, 2π)`.There are two possibilities:Case 1:

`t = s`If `t = s`, then `P(t) = P(s)`.

Thus, we have found one real number in the interval `(0, 2π)`.

Case 2: `t ≠ s`If `t ≠ s`, then we have:

`cos t = cos s` and `sin t = sin s

`Dividing these equations, we get:

`tan t = tan s

`Since `tan` is a periodic function with period `π`, it follows that if `t` and `s` are two numbers in the interval `(0, 2π)` such that `tan t = tan s`, then `t = s + nπ` or `t = s - nπ`, where `n` is an integer.Now, let's substitute `a = -47phi/5`.Using the fact that `φ = (1 + sqrt(5))/2`, we get:`a = -47(1 + sqrt(5))/10`Hence, the real number in the interval `(0, 2π)` such that `P(t) = P(s)` is `t = -cos⁻¹(a/2)`.

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In this case, the mean is 5.5 cm and the standard deviation is 0.1 cm. So, one standard deviation below the mean is 5.4 cm and one standard deviation above the mean is 5.6 cm. Therefore, about 68% of the data falls between 5.4 cm and 5.6 cm, which includes the range of 5.3 cm to 5.7 cm.

Your question involves a normal distribution with a mean (µ) of 5.5 cm and a standard deviation (σ) of 0.1 cm. You want to find the percentage of data between 5.3 cm and 5.7 cm.

First, we need to standardize the scores using the z-score formula: z = (x - µ) / σ

For 5.3 cm: z1 = (5.3 - 5.5) / 0.1 = -2
For 5.7 cm: z2 = (5.7 - 5.5) / 0.1 = 2

Now, referring to a standard normal distribution table or using a calculator, we find the area between these z-scores:

This can be determined using the empirical rule, also known as the 68-95-99.7 rule, which states that for a normal distribution:
- About 68% of the data falls within one standard deviation of the mean
- About 95% of the data falls within two standard deviations of the mean
- About 99.7% of the data falls within three standard deviations of the mean

P(-2 < z < 2) = P(z < 2) - P(z < -2) = 0.9772 - 0.0228 = 0.9544

Converting it to a percentage, we get 95.44%, which is approximately 95%.

So, the answer is A. 95%.

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\(\frac{3}{8}x = 32\)

multiply both sides by the reciprocal

x = 85⅓

We would expect her to make about 85 business calls in a month.

Step-by-step explanation:

The equation means "3/8 of the unknown total is 32"

When we multiply 3/8 by its reciprocal, it becomes 1 and cancels on the left.

8/3 times 32 is a mixed number, so it is reasonable to round it to a whole number of calls.

.

I hope I read this question correctly. The coding for the fraction made it a bit confusing.