The values of the elements of an RLC circuit are given. Solve the initial value problem with the given impressed voltage e(t). t 1

Answer:

5

Step-by-step explanation:

you have to look at the temperature in the picture and look at how it slopes down and predict.

Answer:

in fraction form it is X= 1/3

in decimal form it is X= 0.3 rep.

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Hope it helps

Answer: m=-14

Step-by-step explanation: Use the slope-intercept form y=mx+b to find the slope m.

Graph down below.

I hope this helps you out. If not, I am so sorry.

Answer:

u = -32

Step-by-step expla

Simplify

Answer:

(x | x< -12 or x> -6)

Step-by-step explanation:

-2/3x>8 ⇒ -2/3x*3/2>8*3/2 ⇒ -x> 12 ⇒ x< -12

-2/3x<4 ⇒ -2/3x*3/2<4*3/2 ⇒ -x< 6 ⇒ x> -6

(x | x< -12 or x> -6)

To find the required sample size for a margin of error less than 3%, we can rearrange the formula for the margin of error:

\(n = (Z^2 * p * (1 - p)) / (E^2)\)

Here, Z represents the critical value, p is the estimated proportion (0.51), and E is the desired margin of error (0.03)

To determine the margin of error for the 95% confidence interval, we need to use the formula:

Margin of Error = Critical value * Standard error

The critical value for a 95% confidence level can be obtained from the standard normal distribution table, which corresponds to 1.96. The standard error can be calculated using the following formula:

Standard error = \(\sqrt{(p * (1 - p) / n)}\)

Given that the proportion of North Carolina residents planning to set off fireworks is estimated to be 51% (0.51) based on the survey, we can substitute the values into the formula. However, the sample size (n) is not provided in the question, so we need to determine it in the next part.

To find the required sample size for a margin of error less than 3%, we can rearrange the formula for the margin of error:

\(n = (Z^2 * p * (1 - p)) / (E^2)\)

Here, Z represents the critical value, p is the estimated proportion (0.51), and E is the desired margin of error (0.03). Substituting these values into the formula, we can solve for the required sample size.

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Let's denote the length of one side of the rectangle as L and the width as W. Given that the area of the rectangle is 36 m², we have the equation:

Area = Length × Width

36 = L × W

To express the perimeter of the rectangle as a function of the length (L), we need to find the relationship between the length and the width.

Solving the equation for W, we get:

W = 36 / L

The perimeter (P) of the rectangle is given by the formula:

P = 2L + 2W

Substituting the value of W, we have:

P(L) = 2L + 2(36 / L)

Simplifying further:

P(L) = 2L + 72 / L

Therefore, the perimeter of the rectangle, expressed as a function of the length (L) of one of its sides, is given by P(L) = 2L + 72 / L.

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Answer:

Step-by-step explanation:

Sharon y = 7x + 15

Tim  y = 3x + 35

7x + 15 = 3x + 35

4x + 15 = 35

4x = 20

x = 5 weeks

Sharon: 7(5) + 15 = 35 + 15 = $50

Tim: 3(5) + 35 = 15 + 35 = $50

Answer:

x² + y² = 169

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

Given (12, 5 ) lies on the circumference , then the point will satisfy the equation.

Substitute (12, 5 ) into the equation

12² + 5² = r²

144 + 25 = r²

169 = r²

Then equation of circle is

x² + y² = 169

Answer:

Here are the answers, in order:

dependent, the same amount, independent

dependent, a different amount, independent

Answer:

Plug the x and y values to get it

Step-by-step explanation:

The required z-score is -0.5 and the probability that the firm WILL have a negative EPS is 30.85%.

Firm has a loss level EBIT of $175m and an expected EBIT of $200m with a standard deviation of $50m.

Z-score = (EBIT - Expected EBIT) / Standard deviation= (175 - 200) / 50= -0.5

Probability of having a negative EPS:

To find the probability that the firm will have a negative EPS, we need to find the area to the left of Z-score. As the Z-score is negative, we will be finding the left-tail probability using the standard normal table from the link below:

The area to the left of Z-score (0.5) is 0.3085 or 30.85%.

Therefore, the probability that the firm WILL have a negative EPS is 30.85%.

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The probability of all four women being on the search committee as members in it is 1/273.

We have 15 people in total out of which there are 10 men and 5 women. We need four people on the committee out of these 15.

The probability of that happening can be calculated using the formula -

= Probability of all four women getting selected/Probability of all getting selected

= (5!/4!.1!) / (15!/4!11!)

= (5!/4!1!) * (4!11!/15!)

= (5*4*3*2*1) / (15*14*13*12)

= 1/273

From this, we know that if we need to have all four women as members of the search committee, the probability of that happening is 1/273.

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Graph △RST with vertices R(4, 1), S(7, 3), and T(6, 4) and its image after the glide reflection is shown in figure.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In △RST;

The vertices are, R(4, 1), S(7, 3), and T(6, 4)

Here, Translation: (x, y) → (x, y−1)

And, Reflection in the y-axis.

Hence, New coordinate of the image of △RST are,

⇒ R' = (- 4, 1 - 1) = (- 4, 0)

⇒ S' = (- 7, 3- 1) = (- 7, 2)

⇒ T' = (- 6, 4 - 1) = (- 6, 3)

Thus, Graph △RST with vertices R(4, 1), S(7, 3), and T(6, 4) and its image after the glide reflection is shown in figure.

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Answer:

20

Step-by-step explanation:

The polynomial can be written as (x + 8)/4 in standard form. The given polynomial is a first-degree polynomial with two terms, and it is commonly known as a linear polynomial.

A polynomial is an algebraic expression consisting of coefficients and variables raised to non-negative integer powers. The degree of a polynomial is the highest power of the variable in the polynomial. In this case, the polynomial has a degree of 1, since the highest power of the variable 'x' is 1. Additionally, there are two terms in the polynomial, which means it is a binomial. To write the polynomial in a standard form, we can simplify it by finding the common denominator of the fraction:

x/4 + 2 = x/4 + 2*4/4

= (x + 8)/4

Therefore, the polynomial can be written as (x + 8)/4 in standard form. This polynomial can be used to represent a variety of real-world situations, such as linear relationships between variables in a business or scientific context.

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The length, breadth and height will be 78 cm, 78cm, 78cm each.

let consider the length = l

breadth = b

height = h

we are provided that

l + b + h = 234cm .......(1)

Also we have to maximize the volume , provided length is equal to breadth

∴ eqn (1) becomes

2b + h = 234

h = 234 - 2b

also ,

volume(v) = lbh

v = b²(234 - 2b)

v = b²234 - 2b³

now to maximize the volume we take the first derivative of the volume wrt 'b' and place it equal to zero. ( lagrange method )

i.e. d( v)/db = 0

∴  468b - 6b² = 0

 6b² - 468b = 0

6b( b - 78 ) = 0

∴  b = 78 cm

now as length = breadth

l = b = 78 cm

also putting this value in eqn (1)

h = 234 - 2b

h =  78 cm

So , the dimensions will be equal and will be 78cm , 78cm, 78cm each .

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Answer:

300

Step-by-step explanation:

12 gal x 25 miles = 300 miles he can go before needing more gas

To determine the equation of the tangent plane and normal line of the given curve at the point P(2, -3, 18), we need to find the partial derivatives of the function f(x, y, z) = x^2 + y^2 - 2xy - x + 3y - z - 4.

Taking the partial derivatives with respect to x, y, and z, we have:

fx = 2x - 2y - 1

fy = -2x + 2y + 3

fz = -1

Evaluating these partial derivatives at the point P(2, -3, 18), we find:

fx(2, -3, 18) = 2(2) - 2(-3) - 1 = 9

fy(2, -3, 18) = -2(2) + 2(-3) + 3 = -7

fz(2, -3, 18) = -1

The equation of the tangent plane at P is given by:

9(x - 2) - 7(y + 3) - 1(z - 18) = 0

Simplifying the equation, we get:

9x - 7y - z - 3 = 0

To find the equation of the normal line, we use the direction ratios from the coefficients of x, y, and z in the tangent plane equation. The direction ratios are (9, -7, -1).Therefore, the equation of the normal line passing through P(2, -3, 18) is:

x = 2 + 9t

y = -3 - 7t

z = 18 - t

where t is a parameter representing the distance along the normal line from the point P.

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2.45 N

weight = mass x 9.8 m/s^2

Answer:

Here,

Mass ( m ) = 250g = (250/1000) kg =0.25 kg

g =9.8 m/s^2

Weight ( W ) = ?

We know that,

Weight ( W ) = m*g [Where g is acceleration due to gravity]

                   = (0.25*9.8) N

                    = 2.45 N

Hope it helps!

Answer: Using the triangle theorem, the angle (64 + x)° and 110° are alternate angles, therefore the angle marked, x is 46°

Step-by-step explanation: Alternate angles are equals :

(64 + x)° = 110°

We can solve for x thus ;

x + 64 = 110

x + 64 - 64 = 110 - 64

x = 46°

Hence, the value of x in the triangle is 46°

Answer:

(4,7)

Step-by-step explanation:

Answer:

(4,7)

Step-by-step explanation:

If reflected over the x-axis the sign of the -7 will change to 7

The probability that Player A wins the game is 2/3, in which two players alternate tossing a fair coin until there is a head followed by a tail (HT), will be determined.

Let's consider the possible outcomes for the first two tosses: HH and HT. If the first two tosses result in HH, the game continues and it becomes Player B's turn. If the first two tosses result in HT, Player A wins the game. Thus, the probability of Player A winning on the second toss is 1/2.

For Player A to win on the third toss, the sequence of tosses must be HHT. The probability of this occurring is (1/2) * (1/2) * (1/2) = 1/8.

Similarly, the probability of Player A winning on the fourth toss is \((1/2)^{6}\) = 1/16, and so on.

Since each toss is independent and has a 1/2 probability of resulting in heads or tails, the probability of Player A winning the game can be represented as the infinite geometric series: P(A wins) = (1/2) + \((1/2)^{3}\) + \((1/2)^{5}\) + ...

This is a geometric series with a common ratio of (1/2)^2 = 1/4 and a first term of 1/2. Using the formula for the sum of an infinite geometric series, we find: P(A wins) = (1/2) / (1 - 1/4) = 2/3

Therefore, the probability that Player A wins the game is 2/3.

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Answer:

1. swimming, playing soccer, walking, running

2. skiing, walking, ?

3. hot weather

The Sam receives $0.96 back from the clerk.Sam receives $0.96 back from the clerk.

To calculate how much money Sam receives back from the clerk, we need to determine the total cost of the items purchased by the four friends and subtract it from the $20.00 that Sam gave to the clerk.

Each friend bought 1 bottle of juice and 3 bags of pretzels. The cost of a bottle of juice is $1.49, and the cost of a bag of pretzels is $0.85.

The total cost for each friend is:

1 bottle of juice = $1.49

3 bags of pretzels = 3 * $0.85 = $2.55

The total cost for all four friends is:

4 friends * ($1.49 + $2.55) = $4.76 * 4 = $19.04

Now, we subtract the total cost from the $20.00 Sam gave to the clerk:

$20.00 - $19.04 = $0.96.

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Answer:

125

Step-by-step explanation:

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

33+22=55

180-55=125

You will know the answer is right if it all adds up to 180

125+55=180

=============================================================

Explanation:

10% in decimal form is 0.10

25% in decimal form is 0.25

The jump from 0.10 to 0.25 is "times 2.5" since (0.25)/(0.10) = 2.5

This means that we have 2.5 times as many apples compared to oranges.

If we have 2 oranges, as mentioned in every answer choice, then we must have 2*2.5 = 5 apples.

Based on this, the answer is either A or B.

----------------

65% turns into 0.65

The jump from 0.10 to 0.65 is 6.5 since (0.65)/(0.10) = 6.5

So we have 6.5 times as many pears as oranges.

If we had 2 oranges, then we have 2*6.5 = 13 pears

----------------

To summarize, we have:

2 oranges, 5 apples, 13 pears.

The answer is therefore choice A

Answer:

2x

Because 6 ÷ 3 = 2, so the answer is 2x