two 0.5 kg balls move away from each other, one traveling 10 m/s to the right, the other 2 m/s to the left. what is the magnitude of the total momentum of the system? answer in units of kg · m/s.

Answer:

B'(-3, 2)

Explanation:

In the triangle, point B is at (3, 2).

We want to find the coordinates of B', the image of B when triangle ABC is reflected over the y-axis.

When a point (x,y) is reflected over the y-axis, the transformation rule is:

This means that the x-coordinate changes to the opposite sign while the y-coordinate stays the same.

Applying this rule, we have:

Thus, the coordinates of point B' after triangle ABC is reflected across the y-axis will be B'(-3, 2).

Answer:

10 x plus 20 x -7=0

23 x

Step-by-step explanation:

10 plus 20-7

23

Answer:

Option C) 16(0.5x - 0.75y + 2)

Step-by-step explanation:

16(0.5x - 0.75y + 2) = 16*0.5x - 0.75y*16 + 2 *16

                                = 8.0x - 12.0y + 32

                                =  8x - 12y + 32

To calculate the price of a bond that pays interest, we could begin with the general formula for the present value of a stream of cash flows.

Bonds are debt instruments that pay periodic interest and return the principal at maturity. The price of a bond is the present value of its expected cash flows, discounted back to the present at an appropriate interest rate. The general formula for the present value of a stream of cash flows is:PV = C1 / (1+r)^1 + C2 / (1+r)^2 + ... + CT / (1+r)^T Where :PV = the present value of the cash flows Ct = the cash flow at time t (in our case, the interest payment)T = the maturity date of the bondr = the required rate of return.

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The relation ⊂ (subset) can be considered as a binary relation between sets, and it is a partial order on the power set P(S) of an arbitrary nonempty set S. However, it is not a total order.

A partial order is a binary relation that satisfies three properties: reflexivity, antisymmetry, and transitivity. Let's analyze whether ⊂ satisfies these properties for the power set P(S).

Reflexivity: For any set A, A is a subset of itself (A⊂A) holds true. Therefore, ⊂ is reflexive.

Antisymmetry: If A⊂B and B⊂A, then A and B must be equal sets. In other words, if two sets are subsets of each other, they must be the same set. This property is satisfied, and ⊂ is antisymmetric.

Transitivity: If A⊂B and B⊂C, then A⊂C. If one set is a subset of another set, and the other set is a subset of a third set, then the first set is also a subset of the third set. This property is satisfied, and ⊂ is transitive.

Therefore, ⊂ satisfies the properties of reflexivity, antisymmetry, and transitivity, making it a partial order on P(S).However, ⊂ is not a total order because it does not satisfy the total ordering property. In a total order, for any two distinct elements, one must be greater than or equal to the other. In the case of ⊂, there are sets A and B that are not subsets of each other (neither A⊂B nor B⊂A). Therefore, it is not a total order.

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The concept that a message gives different meanings to different objects is called option (b) polymorphism.

Polymorphism is a fundamental concept in object-oriented programming (OOP) that allows different objects to respond to the same message or method invocation in different ways. In other words, it allows objects of different classes to be treated as if they were of the same class, as long as they implement the same method or message.

This can make code more flexible, reusable, and easier to maintain. Polymorphism is achieved through inheritance, interfaces, or overloading methods. For example, a "draw" method could be implemented differently for different shapes, such as circles, rectangles, or triangles.

Therefore, the correct option is (b) polymorphism

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The postfix expression of "7+5-3*2(6*7)/4" is "7 5 + 3 2 * 6 7 * 2 * - 4 /". Evaluating the postfix expression gives the result of the expression. The prefix expression for the given infix expression is "/ - + 7 5 * 3 * 2 ( * 6 7 ) 4".

To convert the infix expression "7+5-3*2(6*7)/4" into postfix expression, we follow the rules of operator precedence and associativity. The postfix expression is obtained by placing operators after their operands.

The postfix expression for the given infix expression is:

"7 5 + 3 2 * 6 7 * 2 * - 4 /"

To evaluate the postfix expression, we use a stack data structure. We scan the postfix expression from left to right and perform the corresponding operations.

Starting with an empty stack, we encounter the operands "7" and "5". We push them onto the stack. Then we encounter the operator "+", so we pop the last two operands from the stack (5 and 7), perform the addition operation (7 + 5 = 12), and push the result back onto the stack.

We continue this process for the remaining operators and operands in the postfix expression. Finally, after evaluating the entire expression, the result left on the stack is the final answer.

To convert the infix expression into prefix expression, we follow similar rules but scan the expression from right to left. The prefix expression is obtained by placing operators before their operands.

The prefix expression for the given infix expression is:

"/ - + 7 5 * 3 * 2 ( * 6 7 ) 4"

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The probability of a student having a quiz grade of 90 or greater is 7.4%.

The two characteristics feature of normality and symmetricity of a dataset makes calculations pertaining to research theory easier. Further, in a case where symmetricity is observed in data, normal distribution is assumed there as an appropriate probability distribution.

The probability of a student having a quiz grade of 90 or greater can be calculated using the standard normal distribution. The formula used to calculate this probability is P(x ≥ 90) = 1 - P(x < 90).

The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. To convert our quiz grade to a z-score, we must subtract the mean (80) from our quiz grade (90) and divide by the standard deviation (7). This gives us a z-score of 1.43.

To calculate the probability of a quiz grade of 90 or greater, we subtract the cumulative probability of a z-score of 1.43 from 1. This can be done using a z-table or a calculator. The result of this calculation is 0.0740 or 7.4%.

In conclusion, the probability of a student having a quiz grade of 90 or greater is 7.4%.

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The balance of the unsubsidized loan at the time of graduation is $3,691.10.

Given:

Principal amount = $2,560

Interest rate = 6.8% = 0.068

Time period = 6 months

We can use the formula for compound interest to calculate the future value:

\(Future\; Value = P (1 + \dfrac{Interest Rate}{Number of Periods}) ^{(Periods * Time )\)

Substituting the value back into the formula as

Future Value = \($2,560 (1 + \dfrac{0.068}{12} )^{(12 * 6)\)

                      = \($2,560 (1 + 0.00566667)^{(72)\)

                      = \($2,560 (1.00566667)^{(72)\)

                      = $2,560 * 1.44044291

                       = $3,691.10

Therefore, the balance is $3,691.10.

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To find the product of binomials, we can use the FOIL method, which stands for First, Outer, Inner, Last.

The FOIL method allows us to multiply the terms of each binomial and combine like terms to obtain the final result. Applying the FOIL method, we find the following products:

(x-7)(x²+5x+2) = x³+5x²+2x-7x²-35x-14 = x³-2x²-33x-14

(y+7)(y-3) = y²-3y+7y-21 = y²+4y-21

(5x+3)(2x+1x) = 10x²+5x²+6x+3x = 15x²+9x

(x-3y)(4x+3y) = 4x²+3xy-12xy-9y² = 4x²-9y²-9xy

To multiply the binomials using the FOIL method, we multiply the First terms, Outer terms, Inner terms, and Last terms of the binomials, respectively. Then, we combine like terms to simplify the expression.

For example, in the first product (x-7)(x²+5x+2), we have:

First terms: x * x² = x³

Outer terms: x * 5x = 5x²

Inner terms: -7 * x² = -7x²

Last terms: -7 * 5x = -35x

Combining like terms, we obtain x³+5x²+2x-7x²-35x-14, which simplifies to x³-2x²-33x-14.

Similarly, we can apply the FOIL method to find the products of the other binomials.

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Answer:

i cant see but yes ill comment the answer when i download the file

Step-by-step explanation:

Answer:

The answer is "y = 1/4x + 16

Step-by-step explanation:

Answer:

12 miles

Step-by-step explanation:

Total miles = Length of trail ×

Number of times she rode

Total miles = 3 miles × 4 times

Total miles = 12 miles

Mika traveled a total of 12 miles.

The phase of inferential statistics which is sometimes considered to be the most crucial because errors in this phase are the most difficult to correct is "data gathering".

Inferential statistics are frequently employed to compare treatment group differences.

Some characteristics of inferential statistics are-

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Answer:187

Step-by-step explanation:

Answer:

Each term in pattern B is 9 less than the corresponding term in pattern A.

The given differential equation is `(27xy + 45y²) + (9x² + 45xy)y' = 0`.We have to solve this differential equation by using integrating factor `u(x, y) = (xy(2x+5y))-1`.The integrating factor `u(x,y)` is given by `u(x,y) = e^∫p(x)dx`, where `p(x)` is the coefficient of y' term.

Let us find `p(x)` for the given differential equation.`p(x) = (9x² + 45xy)/ (27xy + 45y²)`We can simplify this expression by dividing both numerator and denominator by `9xy`.We get `p(x) = (x + 5y)/(3y)`The integrating factor `u(x,y)` is given by `u(x,y) = (xy(2x+5y))-1`.Substitute `p(x)` and `u(x,y)` in the following formula:`y = (1/u(x,y))* ∫[u(x,y)* q(x)] dx + C/u(x,y)`Where `q(x)` is the coefficient of y term, and `C` is the arbitrary constant.To solve the differential equation, we will use the above formula, as follows:`y = [(3y)/(x+5y)]* ∫ [(xy(2x+5y))/y]*dx + C/[(xy(2x+5y))]`We will simplify and solve the above expression, as follows:`y = (3x^2 + 5xy)/ (2xy + 5y^2) + C/(xy(2x+5y))`Simplify the above expression by multiplying `2xy + 5y^2` both numerator and denominator, we get:`y(2xy + 5y^2) = 3x^2 + 5xy + C`This is the general solution of the differential equation.

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Answer:

17×6=102 because he gave 2 boxes to his brother so he have 6 boxes

Answer:

there

Step-by-step explanation:

The car will take 1 hour and 45 minutes (or 105 minutes) to travel a distance of 70 km at its maximum speed of 40 km/h.

The following calculation can be used to calculate how long it will take the car to travel 70 km:

Time = Speed / Distance

Given that the car's top speed is 40 km/h, we may enter the values into the formula as follows:

Time equals 70 km / 40 km/h

By condensing this phrase, we discover:

Duration: 1.75 hours

Thus, driving the car at its top speed for 70 kilometres will take 1.75 hours.

Since there are 60 minutes in an hour, we may multiply this time by 60 to get minutes:

1.75 hours times 60 minutes is one hour.

Duration: 105 minutes

It's vital to remember that this calculation takes the assumption that the speed will remain constant throughout the entire trip and does not take into consideration variables like traffic, road conditions, or any stops.

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Answer:

39

Step-by-step explanation:

Answer: i think its D

Step-by-step explanation:

The solution to the equation x²y' - xy = x² + 4, x > 0, y(1) is y = xln|x| - (2/x) +2

To find the solution, follow these steps:

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The samples which provides the significance evidence are,

a. Sample A shows that samples have significance evidence.

b. The samples which shows no evidence are samples B, C, and D.

To determine which sample result provides the most significant evidence for the claim,

Perform a hypothesis test using the one-sample proportion test.

The null hypothesis (H₀) is that the proportion of US citizens who can name the capital city of Canada is 0.75 or less (p ≤ 0.75),

while the alternative hypothesis (H₁) is that the proportion is greater than 0.75 (p > 0.75).

Calculate the test statistic z-score and corresponding p-value for each sample result using the formula,

z = (p - p₀) / √(p₀(1 - p₀) / n)

where p is the sample proportion,

p₀ is the hypothesized proportion under the null hypothesis,

and n is the sample size.

Let's calculate the z-scores and p-values for each sample result,

Sample A,

38 successes out of 40

p = 38/40

  = 0.95

z = (0.95 - 0.75) / √(0.75(1 - 0.75) / 40)

  ≈ 3.16

p-value ≈ P(Z > 3.16)

             ≈ 0.0008

Sample B,

31 successes out of 40

p = 31/40

  = 0.775

z = (0.775 - 0.75) / √(0.75(1 - 0.75) / 40)

  ≈ 0.79

p-value ≈ P(Z > 0.79)

             ≈ 0.2146

Sample C,

34 successes out of 40

p = 34/40

  = 0.85

z = (0.85 - 0.75) / √(0.75(1 - 0.75) / 40)

  ≈ 1.58

p-value ≈ P(Z > 1.58)

             ≈ 0.0571

Sample D,

27 successes out of 40

p = 27/40

   = 0.675

z = (0.675 - 0.75) / √(0.75(1 - 0.75) / 40)

  ≈ -1.58

p-value ≈ P(Z < -1.58)

             ≈ 0.0571

a. The sample result that provides the most significant evidence for the claim is Sample A.

It has the highest z-score (3.16) and the lowest p-value (0.0008).

This indicates that the observed proportion of US citizens who can name the capital city of Canada is significantly greater than 0.75.

b. Samples B, C, and D all have p-values above the conventional significance level of 0.05.

These sample results do not provide sufficient evidence to reject null hypothesis and support claim that proportion > 0.75.

Therefore , the possible samples showing the following results,

a. sample A provides the the significance evidence.

b. Samples B, C, and D do not provide sufficient evidence.

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To make each sentence true, we can choose the appropriate fraction from the box:

The product × 3/8 is greater than 3/8: × 1/2

Any fraction greater than 3/8 would work.

The product × 3/8 is less than 3/8: × 1/4

Any fraction less than 3/8 would work.

The product × 3/8 is equal to 3/8: × 1

Any fraction equal to 1 would work.

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Answer:

\(\huge\boxed{\sf AB = 8.86 \ cm}\)

Step-by-step explanation:

θ = 41°

Hypotenuse = BC = 13.5 cm

opposite = AB = ?

We will use the trigonometric ratio of sin.

\(\displaystyle sin \ \theta = \frac{opposite }{hypotenuse} \\\\sin \ 41=\frac{AB}{13.5} \\\\0.656 = \frac{AB}{13.5} \\\\0.656 \times 13.5 = AB\\\\8.86 \ cm = AB\\\\\boxed{ AB = 8.86 \ cm}\\\\\rule[225]{225}{2}\)

Answer:

\(\sqrt{2}\)

Step-by-step explanation:

since it is a 90-45-45 triangle, both of the legs are equal