An RLC series circuit has a voltage source given by E(t) = 40cos(2t) volts, a resistor of 2 ohms, an inductor of 1/4 henrys, and a capacitor of 1/13 farads.

If the initial current is zero and the intitial charge in the capacitor is 7/2 couloumbs, determine the charge on the capacitor for t > 0.

Answer:

C

Step-by-step explanation:

You can write 15:7 as a fraction, 15/7.

\(\frac{15}{7} *\frac{4}{4} =\frac{60}{28}\)

4/4 is 1, so the ratio is not being changed.

Answer:

SAS is the answer

Step-by-step explanation:

Answer:

HL.

Step-by-step explanation:

Right triangles with the hypotenuse and one leg congruent

Answer:

18$ each book

Step-by-step explanation:

Answer:

each book cost 18.22

Step-by-step explanation:

 164 dollars to spend on 9 books. After  buying them he had 11 dollars. How much did each book cost?

164÷9=x

The items matched in the left column to the items in the right column are

Ratio is the number representing a comparison between two named things or quantities.

1. total to fish

= 8 : 3

2. starfish to fish

= 5 : 3

3. starfish to total

= 5 : 8

4. fish to starfish

3 : 5

In conclusion, the ratio of the total to fish to starfish is 8 : 3 : 5

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Using proportions, it is found that the cost of a single rose is of 3.225 dollars = 322.5 cents.

A proportion is a fraction of a total amount.

In this problem, 12 roses cost $38.70, hence the price of a single rose is given by:

p = $38.70/12 = $3.225.

Considering one dollar has 100 cents, the price in cents is given by:

C = 3.225 x 100 = 322.5.

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Answer:

Number is 4536

Step-by-step explanation:

Assume;

Same number = a

Multiply of 7 = b

So,

a+a+a+b = 39

3a + b = 39

Use b = 7

3a + b = 39

3a + 7 = 39 (Not possible)

Use b = 14

3a + b = 39

3a + 14 = 39 (Not possible)

Use b = 21

3a + b = 39

3a + 21 = 39

a = 6

So,

Number is 6 x 6 x 6 x 21

Number is 4536

Inactive Ohio licensees who want to reactivate their licenses after military service must provide evidence of military service in order to be reactivated.

What is an Inactive Ohio Licensee?

The Inactive Ohio licensees are those individuals who currently hold a license or certification and have decided to take a break from practicing or providing services to clients. These inactive Ohio licensees may decide to reactivate their licenses after a period of time. Military Service and License ReactivationThe Ohio Department of Commerce's Division of Real Estate and Professional Licensing provides a dedicated unit to serve active and inactive Ohio licensees who are seeking to reactivate their licenses after military service.

In order to be reactivated, Inactive Ohio licensees who want to reactivate their licenses after military service must provide evidence of military service. The required documents might differ depending on the nature and timing of the service, but in general, proof of military service will be required. The following are the requirements that should be met:You must submit the appropriate application for licensure based on your current standing (active, inactive, or expired) as well as the license type you hold.

The Ohio Department of Commerce's Division of Real Estate and Professional Licensing also mandates that you furnish appropriate evidence of military service (DD-214) and a self-addressed, stamped envelope (for the return of your DD-214).Furthermore, the Ohio Department of Commerce's Division of Real Estate and Professional Licensing should have previously issued the license type you want to reactivate.

If your original license has been replaced, renewed, or altered in any way, you must apply for a new license.In conclusion, Inactive Ohio licensees who want to reactivate their licenses after military service must provide evidence of military service in order to be reactivated.

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Answer:

1. y= 3x-6

2. y= 1/2x-2

Step-by-step explanation:

Rise over run

The area bounded by f(x) = √x and g(x) = x/2 on the interval [0,16] is 64.

To find the area bounded by the given functions, we need to determine the points of intersection. Setting f(x) = g(x), we get:

√x = x/2

Squaring both sides, we get:

x = 0 or x = 16

So the points of intersection are (0,0) and (16,8).

Next, we need to determine which function is on top in the interval [0,16]. We can do this by comparing the values of the two functions at x = 8, which lies in the middle of the interval. We have:

f(8) = √8 = 2√2

g(8) = 8/2 = 4

Since f(8) < g(8), the function g(x) is on top in the interval [0,16]. Therefore, the area bounded by the two functions is given by:

∫[0,16] (g(x) - f(x)) dx

= ∫[0,16] (x/2 - √x) dx

= [x^2/4 - (2/3)x^(3/2)] [0,16]

= (16^2/4 - (2/3)16^(3/2)) - (0 - 0)

= 64

Hence, the area bounded by the two functions is 64.

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Answer:

Step-by-step explanation:

An isosceles triangle is a one that has two of its sides equal. Hence option (c) is correct because here two sides have length of 11.9.

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Answer:

98 yd²

Step-by-step explanation:

From the diagram attached, The polygon is a square with the distance from the edge of the square to the center of the square = 7 yd.

The distance from the edge of the square to the center of the square is half of the diagonal. Therefore length of the diagonal = (7 yd * 2) = 14 yd

The diagonal and two sides of the triangle form a right angle triangle. Let the side of the triangle be a. Therefore the hypotenuse is the diagonal, using Pythagoras theorem:

a² + a² = 14²

2a² = 196

a² = 98

a = √98 = 7√2

The length of the side of the triangle = a = 7√2 yd

The area of the rectangle = length × length = 7√2 × 7√2  = 98 yd²

Answer:

she will need 5 more 3 cups of apple juice

Step-by-step explanation:

15÷3=5

3×3×3×3×3=15

Answer:

it is A

Step-by-step explanation:

I know for a fact

Answer:

yes

Step-by-step explanation:

3x and 4x are like terms. Add them together and you get 7x.

2 and -1 are like terms. Add them together and you get 1.

3x+2+4x-1

7x+1 is your final answer

Answer:

The answer is 7 socks.

Step-by-step explanation:

To ensure one matching pair, you need to pull out 4 socks. If none of the first three match, the fourth one will guarantee a matching pair.

You will then need to pull out 3 more socks, for a total of 7 socks, to ensure two matching pairs.

Answer:

Step-by-step explanation:

The statement "Consistent system of equations has at least one solution, and an inconsistent system has no solution" is true.

In the context of systems of linear equations, a consistent system refers to a system where there exists at least one solution that satisfies all the equations in the system. This means that the equations can be simultaneously satisfied by a set of values for the variables.

On the other hand, an inconsistent system refers to a system of equations that has no solution. This occurs when the equations are contradictory or cannot be satisfied simultaneously by any values for the variables.

Therefore, a consistent system guarantees the existence of at least one solution, while an inconsistent system does not have any solution.

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In this scenario, we have two parallelograms, ghlj and gstu. The given information states that gstu is inside of ghlj. We are then asked to determine why angle ∠l is congruent to angle ∠t.

To understand why ∠l is congruent to ∠t, we need to look at the properties of parallelograms. In a parallelogram, opposite angles are congruent. In other words, if two sides of a parallelogram are parallel, then the opposite angles formed by these sides will be equal.

Looking at parallelogram ghlj, we see that side gh is parallel to side sj (given information). This means that angle ∠l and angle ∠t are opposite angles and therefore congruent.

In conclusion, the reason why ∠l is congruent to ∠t is due to the property of parallelograms. Since gstu is inside ghlj, side gh is parallel to side sj. This parallelism leads to the congruence of the opposite angles ∠l and ∠t.

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Answer:

\(SA = 2.94 \, \textrm{units}^2\)

Step-by-step explanation:

The surface area of a regular 3D figure can be represented as:

\(SA = A_{\textrm{\,1 side}} \cdot (\# \textrm{ of sides})\).

Therefore, the surface area of a cube is:

\(SA = s^2 \cdot 6\)

where \(s\) is the length of a side.

To solve this problem, simply input the given side length into the above formula:

\(SA = 0.7^2 \cdot 6\)

and simplify.

\(SA = 0.49 \cdot 6\)

\(SA = 2.94 \, \textrm{units}^2\)

a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b. The probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c. Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:

The experiment consists of a fixed number of trials (eight shots).

Each trial (shot) has two possible outcomes: hitting the target or missing the target.

The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,

p is the probability of success in a single trial, and

n is the total number of trials.

In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.

P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)

The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:

P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.

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The measures of angles a, b and c are 50 degrees, 90 degrees and 65 degrees respectively.

To determine the angle measures of the triangle, we need to know the following;

From the information given, we have that;

The angle that is opposite to angle a is 40 degrees

If this is a right angle then, we have that;

Angle b = 90 degrees

Then

a = 180 - 130 = 50 degrees

If 65 degrees is adjacent to c, then c = 65 degrees

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Theree numbers that follows given conditions are: 26, 19 and 38

Let a, b and c be three numbers.

We have been given the sum of three numbers is 83.

So, we get an equation a + b + c = 83              ............(1)

The third number is two times the second.

So, we get an equation,

c = 2b                              ...............(2)

The second number is seven less than the first.

So, we get an equation ,

b = a - 7                            

i.e., a = b + 7             ...............(3)

Substitute these values of a and c in equation (1)

b + 7 + b + 2b = 83

4b + 7 = 83

4b = 76

b = 19

Substitute this value of equation (2) and (3),

a = b + 7

a = 19 + 7

a = 26

and c = 2b

c = 2 * 19

c = 38

Therefore, the required numbers are: 26, 19 and 38

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The complete question is:

The sum of three numbers is 83. The third number is two times the second. The second number is seven less than the first. What are the numbers

The first scenario described is an example of a retrospective cohort study.  The second scenario suggests a retrospective cohort study as well. The third scenario represents a cross-sectional study, where researchers conduct a survey among high school students to assess the prevalence of obesity and diabetes.

1. In the first scenario, a retrospective cohort study is conducted by tracking individuals over a 20-year period. The study begins in 1960 and collects data on cigar smoking practices. After 20 years, the participants are followed up to determine if they developed any cancers. This type of study design allows researchers to examine the long-term effects of smoking Cuban cigars.

2. The second scenario involves a retrospective cohort study as well. The objective is to study the long-term neurological effects of a discontinued anesthetic agent. The researchers identify patients who received the drug before it was discontinued and then assess the occurrence of subsequent neurological disorders. This study design allows for the examination of the relationship between exposure to the anesthetic agent and the development of neurological disorders.

3. The third scenario represents a cross-sectional study. Researchers aim to assess the prevalence of obesity and diabetes among high school students during their junior year. They conduct a survey to gather information on the students' current weight, diabetes status, and other relevant factors. A cross-sectional study provides a snapshot of the population at a specific point in time, allowing researchers to examine the prevalence of certain conditions or characteristics.

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Answer:

try 1239128981441231241

Step-by-step explanation:

myra

Answer:

y = 2x -4

Step-by-step explanation:

y2 - y1 / x2 - x1

-4 - (-6)/ 0 - (-1)

= 2

y = mx + b

y = -2x + b

-4 = -2(0) + b

-4 = 0 + b

-4 = b

So the equation is y = 2x -4

In the given IS-LM model, the equilibrium real output, Y, and the equilibrium value of consumption, C, can be determined using the IS and LM equations. The IS equation relates output to the interest rate, while the LM equation represents the equilibrium condition in the money market. By substituting the given values into the equations, we can find the equilibrium values.

The IS equation is given by: Y = 1,586.27 - 3,145.45i.

The LM equation is given as: i = 0.04.

To find the equilibrium real output, we substitute the value of i from the LM equation into the IS equation:

Y = 1,586.27 - 3,145.45 * 0.04.

Calculating the right side of the equation, we have:

Y = 1,586.27 - 125.82,

Y ≈ 1,460.

Therefore, the equilibrium real output, Y, is approximately 1,460.

To find the equilibrium value of consumption, we substitute the equilibrium real output, Y, into the consumption function:

C = 217 + 0.51Y.

Substituting Y = 1,460, we have:

C = 217 + 0.51 * 1,460.

Calculating the right side of the equation, we find:

C ≈ 984.

Therefore, the equilibrium value of consumption, C, is approximately 984.

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