Question 3: Reduce one of the following equations to the canonical form: (........./4) a²z axa az (1) az ya aya = (2) 2022 əx² əy²

The expression for the power delivered to a resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

According to the given information, the power delivered to a resistance R when an alternating current of frequency f and peak current I_0 passes through it is represented by the equation P = I^2_0 R sin^2 2 pi ft.

To express this equation in terms of csc^2 2 pi ft, we can use the trigonometric identity csc^2 x = 1/sin^2 x. Substituting this identity into the equation, we get P = I^2_0 R (1/sin^2 2 pi ft).

Since csc^2 x is the reciprocal of sin^2 x, we can rewrite the equation as P = I^2_0 R (csc^2 2 pi ft). This expression represents the power delivered to the resistance in terms of csc^2 2 pi ft.

Therefore, the correct expression for the power delivered to the resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

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Answer:

If you are only measuring sq ft of one wall the answer would be 136 sq ft. If it is asking for all four walls, then the answer would be 544

Step-by-step explanation: I figure it out by doing 16*8.5, which gave me 135 sq ft fo each wall. Then I multiplied it by 4 to get 544 sq ft.

The probability that a laser fails before 5,800 hours is approximately 0.3505 or 35.05%.

The life in hours that 90% of the lasers exceed is approximately 21,713 hours.

a. To find the probability that a laser fails before 5,800 hours, we can use the cumulative distribution function (CDF) of the exponential distribution. The CDF of an exponential distribution with mean μ is given by F(x) = 1 - e^(-x/μ). Plugging in the values given, we get F(5,800) = 1 - e^(-5,800/7,000) ≈ 0.3505.

b. To find the life in hours that 90% of the lasers exceed, we need to find the 90th percentile of the exponential distribution. The 90th percentile, denoted by x_0.9, is the value such that P(X > x_0.9) = 0.1, where X is the random variable representing the life of the laser. Using the formula for the CDF of the exponential distribution, we can write this as e^(-x_0.9/7,000) = 0.1. Solving for x_0.9, we get x_0.9 = -7,000 ln(0.1) ≈ 21,713.

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Answer:

22x•28

Step-by-step explanation:

Formula for area= l•w=a

2x-7•3x^2+4x

1. Gather your like terms

2. Gather you unlike terms

3. calculate

4. set equation up to find the answer

1.2x-3x^2+4x

2. 7•4

3.2x-3x^=18x+4x=22x

4. 7•4=28

5. 22x•28

The data described, the number of televisions in different households, is discrete.

discrete data consists of individual values that can be counted and are distinct from one another. In this case, the number of televisions is a discrete variable because it can only take on whole numbers, such as 0, 1, 2, 3, and so on. You cannot have a fractional or continuous number of televisions. Each household will have a specific count of televisions, and there is no intermediate value between each whole number. Additionally, the number of televisions is distinct for each household, meaning that it can differ from one household to another.

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Answer:

4784265

Step-by-step explanation:

(12+9⁷)+1284​

12 + 4782969 + 1284

4784265

To resolve this issue first we have to remember the rules to resolve a numeric expression, see:

\(\sf \left(12+9^7\right)+1284\\\\\\\sf =12+4782969\\\\\\\sf =4782981+1284\\\\\\\to \boxed{\sf 4784265}\)

Answer:

y =4

x=1

Step-by-step explanation:

in comment

sbajbaaj

The average age of all students in the college is a parameter. A parameter describes the whole populations.

Tha value of parameter or statistic can be average, percentage, and others.

A college reports that the average age of their students is 28 years old.

Is this a statistic of parameter?

The college would have access to data on all students. The data of all students in the college or the entire students is called population. So, this is a parameter.

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The curve in question is given by the parametric equations; x = cos(t) cos(2t), y = sin(t) sin2t). The point of tangency is (-1,1). Therefore, we can find the value of t by substituting the values of x and y into the respective equations to get cos(t) cos(2t) = -1

sin(t) sin2t = 1. 2cos^2(t)cos(t) - 1 = -1. Thus, 2cos^2(t)cos(t) = 0 which implies that either cos(t) = 0 or cos(t) = 1/2.When cos(t) = 0, we have t = π/2 or 3π/2 since x = cos(t) cos(2t) = 0. When cos(t) = 1/2, we have t = π/3 or 5π/3 since cos(π/3) = cos(5π/3) = 1/2. Substituting these values into the equation for y, we get y = 0 when t = π/2 or 3π/2 and y = ±3√3/4 when t = π/3 or 5π/3.

Next, we find the derivative of the parametric equations to get the slope of the tangent at the point (x(t), y(t)). dx/dt = -sin(t)cos(2t) - 2cos(t)sin(2t) and dy/dt = 2sin(t)cos^2(t) + sin(2t)sin2t. At the point of tangency (-1,1), we have x(t) = cos(t)cos(2t) = -1 and y(t) = sin(t)sin(2t) = 1.

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Answer:

1/3

Step-by-step explanation:

Does the spinner only have these 3 sections?

If so, the probability of spinning an odd number is 1/3. There are a total of 3 possibilities (denominator), and only 1 is odd (numerator).

The P(odd) is the probability of spinning an odd number that would be equal to 1/3.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

You spin the spinner once.

6, 7, 8

There are a total of 3 possibilities (denominator), and only 1 is odd (numerator).

So, the probability of spinning an odd number = 1/3.

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Answer:

The answer is Choice C

Step-by-step explanation:

I got it right, look at the screenshot for proof

Answer:

Choice C

Step-by-step explanation:

Writing a proof

A proof is a formal description of how we can know that something is true based on the information from a mathematical scenario.

Each step of the proof is a transformation, a construction, or a statement about what we can conclude from earlier steps.

For a two-column proof we give a reason to justify each statement. Common reasons include geometric theorems, algebraic properties, and information given in diagrams.

Let's check the reason for each step and whether Ioana established the conditions for it.

Hint #22 / 4

Step 1

The diagram does support the claim that PQ=RQ=9PQ=RQ=9P, Q, equals, R, Q, equals, 9.

Step 1 is correct.

Step 2

The diagram does support the claim that m\angle O=m\angle S=90\degreem∠O=m∠S=90°m, angle, O, equals, m, angle, S, equals, 90, degree.

Step 2 is correct.

Step 3

The diagram does support the claim that m\angle PQO=m\angle RQS=63\degreem∠PQO=m∠RQS=63°m, angle, P, Q, O, equals, m, angle, R, Q, S, equals, 63, degree.

Step 3 is correct.

Hint #33 / 4

Step 4

In this step, Ioana claims that \triangle OPQ\cong \triangle SRQ△OPQ≅△SRQtriangle, O, P, Q, \cong, triangle, S, R, Q using the angle-side-angle criterion. But the corresponding pair of congruent sides, \overline{PQ}

PQ

​

start overline, P, Q, end overline and \overline{RQ}

RQ

​

start overline, R, Q, end overline, aren't the sides that are included between the two pairs of congruent corresponding angles.

Ioana should have used the angle-angle-side criterion.

Hint #44 / 4

Ioana established all necessary conditions, but then used an inappropriate congruence criterion.

Answer:

Xsquared +3x -28

Step-by-step explanation:

Use foil so first to the 3rs then first to the 4th then 2nd to the 3rd then 2nd to the 4th.

x squared minus 4x plus 7x minus 28

Answer:

1: 3; 2: 0; 3: 2.05

Step-by-step explanation:

the absolute value of a number is the numbers distance from 0

basically it is the positive version of a number

for number 1 the distance from 3 to 0 is 3

so the answer is 3

for number 2 the distance from 0 to 0 is 0

so the answer is 0

for number 3 the distance from -2.05 to 0 is 2.05

so the answer is 2.05

those are your answers

Answer:

1: 3; 2: 0; 3: 2.05

Step-by-step explanation:

the absolute value of a number is the numbers distance from 0

basically it is the positive version of a number

for number 1 the distance from 3 to 0 is 3

so the answer is 3

for number 2 the distance from 0 to 0 is 0

so the answer is 0

for number 3 the distance from -2.05 to 0 is 2.05

so the answer is 2.05

Answer:

1024

Step-by-step explanation:

4x4= 16

8x8= 64

sqrt4 x sqrt8

The square root of 4 is 2.

The square root of 8 is 2.83.

2x2.83=5.66

hope it helps!

Answer:

18

Step-by-step explanation:

18

Hey there!

\(Answer:\boxed{Slope: 2}\boxed{y-intercept:(0, 4)}\)

Graph below.

Hope this helps!

\(\text{-TestedHyperr}\)

Answer:

10

Step-by-step explanation:

19-17=2

10+2=12-2 =10

Answer:

\(y=4x-2\)

Step-by-step explanation:

Hi there!

Slope-intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

We're given that the slope is 4. Plug this into \(y=mx+b\) as m:

\(y=4x+b\)

Now, to determine the y-intercept, plug in the given point (1,2) and solve for b:

\(2=4(1)+b\\2=4+b\\b=-2\)

Therefore, the y-intercept is -2. Plug this back into \(y=4x+b\) as b:

\(y=4x+(-2)\\y=4x-2\)

I hope this helps!

to get the slope of any straight line, we simply need two points off of it, let's use those ones in the picture below.

\(\stackrel{\textit{\LARGE Ramp 1}}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{40}~,~\stackrel{y_2}{400})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{400}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{40}-\underset{x_1}{0}}} \implies \cfrac{ 400 }{ 40 } \implies 10 \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{\LARGE Ramp 2}}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{60}~,~\stackrel{y_2}{300})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{300}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{60}-\underset{x_1}{0}}} \implies \cfrac{ 300 }{ 60 } \implies 5 \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{\LARGE Ramp 3}}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{100}~,~\stackrel{y_2}{200})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{200}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{100}-\underset{x_1}{0}}} \implies \cfrac{ 200 }{ 100 } \implies 2\)

The probability that abc ab a is divisible by 3 is 13/27.

Probability

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

We group this into groups of 3, because 3|2010. This means that every residue class mod 3 has an equal probability.

If 3|a, we are done. There is a probability of 1/3 that that happens.

Otherwise, we have 3 | bc + b + 1, which means that b (c + 1 ) = 2  mod{3}. So either

b = 1     mod (3)          c = 1     mod (3)

or

b = 2    mod (3)          c = 0     mod (3)

Which will lead to the property being true. There is a 1/3 * 1/3 = 1/9 chance for each bundle of cases to be true.

Thus, the total for the cases is 2/9. But we have to multiply by 2/3 because this only happens with a 2/3 chance. So the total is actually 4/27.

The grand total is

1/3 + 4/27  = 13/27

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Answer:

Basically you would have to follow the rule of proportions to answer this.

Step-by-step explanation:

x/100 = 332/550

Cross multiply: 332 x 100 = 550x

Then divide: 33200 / 550 = x

X = 60. 36 % or approximately 60%

Use the following terms in your answer,

Student question: when the degree of the numerator is the same as the degree of the denominator, the limit is equal to the ratio of the coefficients.  T/F.

What are the criteria for the limit of the function?                                                                                                                                              The answer is: Always be factually accurate, professional, and friendly. Be concise and do not provide extraneous amounts of detail.

When the degree of the numerator is the same as the degree of the denominator, the limit is equal to the ratio of the coefficients. True. When the degree of the numerator is equal to the degree of the denominator, the limit is equal to the ratio of the coefficients.

This is a basic rule for computing limits of rational functions. To compute the limit of a function when x is approaching a value, substitute x into the function and evaluate it. This is a straightforward approach. It is essential to check whether the limit exists or not. If the limit does not exist, then the function is said to be divergent. If the limit exists, then the function is said to be convergent.

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Answer:

-81

Step-by-step explanation:

the dot means multiplication

Answer:

£1100

Step-by-step explanation:

10% of 22000=2200

2200/2=5%=1100

Answer:

420

Step-by-step explanation:

130/100x = 546

x=54600/130

x=5460/13

x=420

From the given information, cholesterol level X follows the N(222, 37) distribution.

The probability of having borderline high cholesterol (between 200 and 240 mg/dl) can be calculated by using the z-score formula as follows:

z = (x - μ) / σ

For lower limit x1 = 200, z1 = (200 - 222) / 37 = -0.595

For upper limit x2 = 240, z2 = (240 - 222) / 37 = 0.486

The probability of having borderline high cholesterol (between 200 and 240 mg/dl) can be computed as

P(200 ≤ X ≤ 240) = P(z1 ≤ Z ≤ z2) = P(Z ≤ 0.486) - P(Z ≤ -0.595) = 0.683 - 0.277 = 0.406

In this population, 90% of men have a cholesterol level that is at most X90.The z-score corresponding to a cholesterol level of X90 can be calculated as follows:

z = (x - μ) / σ

Since the z-score separates the area under the normal distribution curve into two parts, that is, from the left of the z-value to the mean, and from the right of the z-value to the mean.

So, for a left-tailed test, we find the z-score such that the area from the left of the z-score to the mean is 0.90.

By using the standard normal distribution table,

we get the z-score as 1.28.z = (x - μ) / σ1.28 = (X90 - 222) / 37X90 = 222 + 1.28 × 37 = 274.36 ≈ 274

The cholesterol level of 90% of men in this population is at most 274 mg/dl.

The distributions that we can consider to be approximately normal are the sampling distribution of mean BMI for random samples of 60 adults and the sampling distribution of mean BMI for random samples of 9 adults.

The reason for considering these distributions to be approximately normal is that according to the Central Limit Theorem, if a sample consists of a large number of observations, that is, at least 30, then its sample mean distribution is approximately normal.

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Answer:

Step-by-step explanation:

the sum of the interior angles of a triangle is 180°

so

180 = 2x + x + 54

180 = 3x + 54

180 - 54 = 3x

126 = 3x

x = 126 : 3

x = 42°

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

2x = 42 * 2

2x = 84°

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

check

2x + x + 54 = 180

3x + 54 = 180

3 * 42 + 54 = 180

126 + 54 = 180

180 = 180

the answer is good

Answer:

84 Degrees

Step-by-step explanation:

Interior angles in a triangle sum to 180°

⇒ x + 2x + 54 = 180

⇒ 3x + 54 = 180

⇒ 3x = 180 - 54

⇒ 3x = 126

⇒ x = 126 ÷ 3

⇒ x = 42

Therefore:

⇒ 2x = 2(42)

         = 84°

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)