two coils are wound around the same cylindrical form, like the coils in example 21.8. when the current in the first coil is decreasing at a rate of the induced emf in the second coil has magnitude 1.65 mv. (a) what is the mutual inductance of the pair of coils? (b) if the second coil has 25 turns, what is the average magnetic flux through each turn when the current in the first coil equals 1.20 a? (c) if the current in the second coil increases at a rate of what is the magnitude of the induced emf in the first coil?

The equation representing the new price with the 28% markup is y = 1.28p.

The equation that represents the new price of a bag, y, given an original price, p, with a markup rate of 28% is:

y = 1.28p

This equation is derived as follows:

Convert the markup rate to a decimal by dividing by 100:

28% / 100 = 0.28

Add 1 to the decimal markup rate:

1 + 0.28 = 1.28

Multiply the original price by the result:

y = p × 1.28

So, the equation representing the new price with the 28% markup is y = 1.28p.

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Answer:

Step-by-step explanation:

ED :  DL = FD : DM

or

ED / DL = FD / DM

FD = ED·DM / DL

FD = 88 ·  84  / 48 = 154

Answer:

Yes, good for him. lol

Step-by-step explanation:

Answer:

what he do there?

Answer:

LCM = 84

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

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

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

Answer:

52 tickets cost $10 and 18 tickets cost $12

Step-by-step explanation:

10x+12y=804. (1)

x+y=70. (2)

From (2)

x=70-y

Substitute x=70-y into (1)

10x+12y=804

10(70-y)+12y=804

700-10y+12y=804

700+2y=804

2y=804-700

2y=104

y=104/2

y=52

Recall

x+y=70

x+52=70

x=70-52

x=18

52 tickets cost $10 and 18 tickets cost $12

By solving a system of equations we will see that the correct option is A.

First, let's define the variables:

First, we know that 70 tickets were sold, so:

x + y = 70

And we know that they reached $804, then we have:

x*$10 + y*$12 = $804

Then our system is:

x + y = 70

x*$10 + y*$12 = $804

To solve this, we first need to isolate one of the variables in one of the equations, I will isolate x on the first equation:

x = 70 - y

Now we can replace that in the other equation to get:

(70 - y)*$10 + y*$12 = $804

$700 - y*$10 + y*$12 = $804

$700 + y*$2 = $804

y*$2 = $804 - $700 = $104

y = $104/$2 = 52

So, 52 $12 tickets were sold, then the other 18 tickets were $12, so the correct option is A.

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Answer: The expected value of V can be calculated as the sum of the products of the possible values of V and their corresponding probabilities. Let's consider the three possible scenarios:

Using the utility function, we can see that the expected value of V is:

E[V] = 0 * 0.2 + (1/2) * (0.8 * 9/10) + 10 * (0.8 * 1/10)

E[V] = 0 + 0.36 + 0.8

E[V] = 1.16

Therefore, the expected value of V is 1.16. However, since V represents the number of healthy vacation days, it must be a non-negative integer. So, the closest integer to 1.16 is 1. Therefore, the answer is c. 2.

To use the quadratic formula, we need to identify the values of a, b, and c.

1. In this case, the equation is 4x² - 3x - 8 = 0, so a = 4, b = -3, and c = -8.

2. x = (-b ±√(b² - 4ac))/2a.

3.  x = (3 ±√137)/8.

The Quadratic Formula is a mathematical equation used to solve second-degree equations.

To use the quadratic formula, we need to identify the values of a, b, and c in the equation ax² + bx + c = 0.

In this case, the equation is

4x² - 3x - 8 = 0,

so a = 4, b = -3, and c = -8.

Once the values of a, b, and c are known, we can substitute them into the Quadratic Formula:

x = (-b ±√(b² - 4ac))/2a.

In this equation, a = 4, b = -3, and c = -8, so the equation becomes

x = (-(-3) ±√((-3)² - 4(4)(-8)))/2(4).

Simplifying, we get x = (3 ±√(9 + 128))/8.

Finally, solving for x yields x = (3 ±√137)/8.

Therefore, the solution to the equation is

x = (3 ±√137)/8.

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The amount that Ayaan will have in his tax-free savings account after 6 months of depositing $746 at 2.15% interest is $754.02.

The future value refers to the present value plus the interest.

The future value for this savings account can be computed using the simple interest system since there is no compounding of interest.

The initial deposit (present value) = $746

Interest rate = 2.15%

Savings period = 6 months

Future value = $754.02 ($746 + ($746 x 2.15% x 6/12)

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Answer:

Area=128

Step-by-step explanation:

p=8\(\sqrt{2}\)

A=p^2

put value of p

A= (8\(\sqrt{2}\))power2

A= (8^2* \(\sqrt{2}\)^2)

A=64 * 2             (square root of 2 will be cancel by power 2)

A= 128  

Answer:

c

Step-by-step explanation:

Answer:

normal force decreases

Step-by-step explanation:

N=mgcosθ, and cosine decreases as theta increases

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Answer:

A) decreases

Step-by-step explanation:

As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.

Answer:3 7/12 m

so first you want to add the whole numbers first so 1 + 2 = 3

then you want to add the fractions but they are not the same so you need to convert them into the same fraction 1/4 and 1/3 can both be turned into 12ths so you need to multiply the numerator and the denominator by the same number so 4 x 3 and  1 x 3  for the other fraction it would be 3 x 4 and 1 x 4 to get 3/12 and 4/12  then you can add them together to get 7/12 then add the whole number 3 + 7/12 = 3 7/12

Answer:

We can solve the above mathematical problem with the following approach.

We know that (a²-b²) = (a + b) (a - b).

So the given equation can be written as:

The graph of the equation that is parallel to 4x – 3y = –12 is determined as: A. y = 4/3x - 3/2.

If two lines are parallel to each other, their graph will have the same slope value, m. This means if their equations are expressed as y = mx + b in slope-intercept form, they will both have the same value of m.

Given the equation of a graph as 4x - 3y = -12, rewrite it in slope-intercept form to determine the slope value:

4x - 3y = -12

-3y = -4x - 12

-3y/-3 = -4x/-3 - 12/-3

y = 4/3x + 4

This means the slope, m is 4/3. The slope of the graph that is parallel to it will also have a slope of 4/3.

The slope of y = 4/3x - 3/2 is also 4/3, therefore, the answer is: A. y = 4/3x - 3/2.

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Complete Question:

The graph of which of the following will be parallel to the graph of 4x – 3y = –12?

A. y = 4/3x - 3/2

B. 6x - 4y = -8

C. y = 3/4x +1

D. 4x – 2y = –12

Answer:

Output equals imput minus 6

Step-by-step explanation:

First, we know that -2 is 1 of the Imputs.

Then we know 8 is the second Output

8 - (-2) so that means it would be minus 6 Imput.

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Output equals input times 4 is the function rule from the values in the table.

Looking at the values in the table, we can identify the function rule by analyzing the relationship between the input and output values.

The output values are obtained by applying specific operations to the input values.

Let's examine each statement and see which one matches the given input-output pairs:

Output equals input times -4:

When we multiply the input values by -4, we get the following output values:

\(-2 \times -4 = 8\)

\(0 \times -4 = 0\)

\(1 \times -4 = -4\)

\(3 \times -4 = -12\)

This function rule matches the given input-output pairs.

Therefore, the function rule that matches the values in the table is "Output equals input times -4."

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Answer:

Explanation:

Given that Jennifer Lopez has 10 cousins

The number of male cousins is x

The number of female cousins is y

Since x is 2 less than y, we have:

x = y + 2 ...............................................................................(1)

The total number of cousins is 10, we have:

x + y = 10 ..............................................................................(2)

Substituting equation (1) in (2)

(y + 2) + y = 10

y + y + 2 = 10

2y + 2 = 10

Subtract 2 from both sides

2y = 10 - 2

2y = 8

Divide both sides by 2

y = 8/2 = 2

Substitute the value of y into (1)

x = 2

a) Periodic Deposit = (A - P×(1 + r/n)ⁿᵗ) × (n / ((1 + r/n)ⁿᵗ - 1))

b) The amount of the financial goal that comes from deposits is $60305.24 and the amount that comes from interest is = $149694.76.

Compound interest is a method of calculating interest on a principal amount that includes not only the initial principal but also the accumulated interest from previous periods.

a. The formula for periodic deposits, assuming a fixed interest rate and the same amount of deposit made at the end of each period, is:

Periodic Deposit = (A - P×(1 + r/n)ⁿᵗ) × (n / ((1 + r/n)ⁿᵗ - 1))

Where:

A = Financial goal

P = Initial deposit (assumed to be 0 in this case)

r = Annual interest rate (as a decimal)

n = Number of compounding periods per year

t = Time (in years)

Substituting the given values, we have:

Periodic Deposit = (210000 - 0*(1 + 0.035/12\()^{(12\times 13)}\) * (12 / ((1 + 0.035/12\()^{(12\times 13)}\) - 1))

= $543.15 (rounded to the nearest cent)

Therefore, the periodic deposit needed to reach the financial goal of $210000, with a 3.5% annual interest rate compounded monthly over 13 years, is $543.15 at the end of each month.

b. To determine how much of the financial goal comes from deposits and how much comes from interest, we can use the following formula for the future value of an annuity:

FV = P * ((1 + r/n)ⁿᵗ - 1) / (r/n) + A * (1 + r/n)ⁿᵗ

Where:

FV = Future value of the annuity (i.e., the financial goal)

P = Initial deposit

A = Periodic deposit

r, n, t = Same as before

Substituting the given values and solving for P, we have:

P = (210000 - 543.15 * (1 + 0.035/12\()^{(12\times 13)}\) ) * (0.035/12) / ((1 + 0.035/12\()^{(12\times 13)}\) - 1)

= $60305.24 (rounded to the nearest cent)

Therefore, the amount of the financial goal that comes from deposits is $60305.24, and the amount that comes from interest is $210000 - $60305.24 = $149694.76.

Hence,

a) Periodic Deposit = (A - P*(1 + r/n)ⁿᵗ) * (n / ((1 + r/n)ⁿᵗ - 1))

b) The amount of the financial goal that comes from deposits is $60305.24 and the amount that comes from interest is = $149694.76.

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In the long run, the proportion of hours the turtle will be hiding is 1, or 100%.

Since the turtle can only be either eating or hiding at any given hour, we know that h + e = 1.

Write the transition matrix as follows:

A =\(\left[\begin{array}{ccc}1&\frac{1}{2} \\\frac{1}{2}&\frac{1}{2}\end{array}\right]\)

The first row of A represents the probability of transitioning from hiding to hiding or from hiding to eating, while the second row represents the probability of transitioning from eating to hiding or from eating to eating.

Find the eigenvector corresponding to the eigenvalue of 1 for the transition matrix A.

Setting up the equation Ax = λx, where λ = 1, we get:

\(\left[\begin{array}{ccc}1&\frac{1}{2} \\\frac{1}{2}&\frac{1}{2}\end{array}\right] \left[\begin{array}{ccc}h\\e\end{array}\right] = \left[\begin{array}{ccc}h\\e\end{array}\right]\)

This gives us two equations:

h + (1/2)e = h

(1/2)h + (1/2)e = e

Simplifying the first equation, we get:

(1/2)e = 0

This implies that e = 0, which means that the turtle spends no time eating in the long run. Using the fact that h + e = 1, we can conclude that the turtle spends all of its time hiding in the long run.

Therefore, the proportion of hours the turtle spends hiding in the long run is 1, or 100%.

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The value of m∠E is 120°

Define Congruent angles

Given,

The Δ ABC be congruent to Δ DEF.

Since, the triangles are congruent, B and E are automatically congruent, since they are corresponding angles.

First let's find the value of y,

To find y, equate the measure of y like this

95 + y = 6y - 30

95 + 30 = 6y - y

125 = 5y

y = 25

Now, substitute the value of y in ∠E

∠E = 6y - 30

∠E = 6* 25 - 30

∠E = 120°

Hence, the value of m∠E is 120°

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The cross product of  three vectors is not associative in nature.

Considering three vectors such  as : A=(2,1,3), B=(1,0,2) and  C=(1,1,0)

we  know that the  associative law depicts that :

A x (B x C) = (A x B) x C ,while doing the operation for the  considered vectors :

A x (B x C) =(2,1,3)x ((1,0,2)x (1,1,0))

                  =(2,1,3)x (-2,2,1)

     =(-5,-8,6)

(A x B) x C=  ((2,1,3)x (1,0,2))x (1,1,0)

            = (2,-1,1) x (1,1,0)

  =(-1,1,3)

So  for this vector operation, A x (B x C)  is not  equal to  (A x B) x C, so you can sum up that cross product of three vectors can't be associative every possible time.

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In this particular study, Selection bias, Response bias, non response bias and Self-selection bias may exist.

There are several biases that may exist in the study:

1. Selection bias: By only calling people whose names were randomly sampled from the phone book, the study may not accurately represent the population of the state as a whole. Mobile phones and unlisted numbers, which may represent a significant portion of the population, are not included in phone books and therefore not included in the sample.

2. Response bias: The study only includes people who answered the phone when the senator's office called. This means that the sample only represents people who were available and willing to participate in the study. People who were not available or unwilling to participate may have different opinions, which would introduce a response bias.

3. Nonresponse bias: People who did not answer the phone when the senator's office called may have different opinions than those who answered. This nonresponse bias can result in an overestimation or underestimation of the true population values.

4. Self-selection bias: By only calling people who answered the phone, the study may only represent those who are interested in politics or are more likely to participate in political surveys. This self-selection bias can result in an overestimation or underestimation of the true population values.

These biases can lead to inaccurate results and conclusions. To reduce these biases, it's important to use a representative sample of the population and to make sure that the sample is selected in a way that minimizes bias

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Answer:

The ordered pairs that are solution to this equation are:

(8,1) and (10,3)

Step-by-step explanation:

Given statement is:

"difference of two variables x and y is 7"

This can be mathematically written as:

\(x-y = 7\)

To solve this we have to put y = 1 and y = 3

Now,

Putting y = 1 in the equation

\(x-1 = 7\\x = 8\)

Putting y = 3 in the equation

\(x-3 = 7\\x = 7+3\\x = 10\)

Ordered pairs are of the form (x,y)

Hence,

The ordered pairs that are solution to this equation are:

(8,1) and (10,3)

Answer:

your correct

Step-by-step explanation:

Answer:

I think the one you have answered is correct.

The line passes through points (-3,4) and (-2,-1).

The general equation of line passing through point (x_1,y_1) and (x_2,y_2) is,

Determine the equation of line passing through points (-3,4) and (-2,-1).

Find intersection of

BD , AD DC

Then

BD = BE^2 + ED^2

R = AD = abc/4S = 42• (2•28)•

Answer:

D

Step-by-step explanation: