given that tanx=6 and sinx is positive, determine sin(2x), cos(2x), and tan(2x). write the exact answer. do not round.

If two lines are parallel, then they have the same slope.

If two lines are perpendicular, then the slope of one line is the negative reciprocal of the other line.

The equation of a given line is expressed as

y = mx + b

Where

m represents slope

c represents y intercept

Considering the first equa

The rules AAS, ASA, SSS and SAS are congruence rule of triangle  and the each rules has been explained

The rules AAS, ASA, SSS and SAS are congruence rule of triangle

SSS rule is side-side-side rule, it states that if three sides of the one triangle and three sides of the other triangles are equal, then both triangles are congruent

SAS rule is side-angle-side rule, it states that if two sides and one included angles between the sides of the one triangle is equal to  the two sides and one included angles between the sides of the other triangle, then both triangles are congruent

ASA rule is angle-side-angle rule, it states that if two angles and one included side between the angle of the one triangle is equal to the two angles and one included sides between the angles of the other triangle, then both triangles are congruent

AAS rules is angle-angle-side rule, it states that if two angles and one non included sides of the one triangle is equal to the two angles and one non included sides of the another triangle, then both triangles are congruent

Therefore, the AAS, ASA, SSS and SAS are the rules of congruence of the triangle

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Step-by-step explanation:

v = u + at

v-u = at

a = (v -u)/t

When t = 4, u=10, v=50

a = (50-10)/4

a= 40/4

a = 10

With a small sample size (n=9), the condition of the population distribution being approximately normal becomes more important to ensure the validity of the Central Limit Theorem. The standard error of the sampling distribution of sample means is approximately $4.33 (rounded to 2 decimal places).

a. The Central Limit Theorem states that for a large enough sample size, the sampling distribution of the sample mean will be approximately normally distributed, regardless of the shape of the population distribution.

However, with a small sample size (n=9), the condition of the population distribution being approximately normal becomes more important to ensure the validity of the Central Limit Theorem.

b. The standard error of the sampling distribution of sample means can be calculated using the formula:

Standard Error (SE) = Standard Deviation / Square Root of Sample Size

We have that the population standard deviation is $13 and the sample size is 9, we can calculate the standard error:

SE = $13 / √9

  = $13 / 3

  ≈ $4.33

Therefore, the standard error of the sampling distribution of sample means is approximately $4.33 (rounded to 2 decimal places).

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The given function y = (c1 + c2x)ex sinx/x^2 is not a solution to the differential equation.

In order to verify whether the given function is a solution to the differential equation, we need to substitute it into the equation and check if it satisfies the equation. The given differential equation is not specified, so we cannot determine its form or the variables involved. Without the specific form of the differential equation, we cannot directly substitute the function into it and verify the solution.

To learn more about differential equations and their solutions, it is important to have the specific form of the equation and the boundary conditions or initial conditions. The solution to a differential equation depends on the form and order of the equation, as well as the specific conditions given. Without these details, it is not possible to determine if the given function is a solution. For further assistance, please provide the specific form of the differential equation and any additional conditions.

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Answer:

blah blah

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Plug in the x values into the equation to get the y values.

I hope this helps.

Answer:

6 kilograms and 250 grams

Step-by-step explanation:

How you can solve this problem is you can divide each number by 3, 18/3 is 6, and 750/3 is 250. So, one chair weighs 6 kilograms and 250 grams.

Answer:

a. 44

Step-by-step explanation:

using inverse cosine we can find the angle since we have the length of the hypotenuse and adacent  

cos^-1 (13/18) = 43.76

A part of a line that has 1 endpoint and extends indefinitely in only one direction is called a ray.

A ray is named using its endpoint first, and then any other point on the ray

Properties of ray:

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Answer:

See below.

Step-by-step explanation:

x + 2 = x + 2 ⇒ Infinitely Many Solutions

3x + 1 = 3x - 10 ⇒ 1 ≠ -10 ⇒ No solutions

x + 4 = 2x + 4 ⇒ 4 = x + 4 ⇒ 0 = x ⇒ One solution

By answering the presented question, we may conclude that Therefore, the 25th term of the arithmetic sequence is 53.

In mathematics, a sequence is an ordered list of items. Elements can be numbers, functions, or other mathematical objects. A series is commonly expressed by putting the phrases in parentheses and separating them with commas. A natural number series, for example, can be denoted as: (1, 2, 3, 4, 5, ...) Similarly, the even number series is labelled as follows: (2, 4, 6, 8, 10, ...) A series can be finite or infinite depending on whether it has a finite or infinite number of words.

To find the 25th term,

an = a1 + (n - 1)d

In this case, a1 = 5 and d = 2. Plugging these values into the formula, we get:

a25 = 5 + (25 - 1)2

a25 = 5 + 48

a25 = 53

Therefore, the 25th term of the arithmetic sequence is 53.

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The value of the probabilities are:

(a) P(X > 0) = 1/2

(b) P(0 < X < 1) = 1/2

We have,

To compute the probabilities, we need to integrate the density function over the given intervals.

(a) P(X > 0):

To find P(X > 0), we need to integrate the density function f(x) = k(1 - x²) from 0 to 1:

P(X > 0) = ∫[0,1] f(x) dx

First, we need to determine the constant k by ensuring that the total area under the density function is equal to 1:

∫[-1,1] f(x) dx = 1

∫[-1,1] k(1 - x²) dx = 1

Solving the integral:

k ∫[-1,1] (1 - x²) dx = 1

k [x - (x³)/3] | [-1,1] = 1

k [(1 - (1³)/3) - (-1 - (-1)³/3)] = 1

k [(1 - 1/3) - (-1  1/3)] = 1

k (2/3 + 2/3) = 1

k = 3/4

Now we can compute P(X > 0):

P(X > 0) = ∫[0,1] (3/4)(1 - x²) dx

P(X > 0) = (3/4) [x - (x³)/3] | [0,1]

P(X > 0) = (3/4) [(1 - (1³)/3) - (0 - (0³)/3)]

P(X > 0) = (3/4) [(2/3) - 0]

P(X > 0) = (3/4) * (2/3) = 1/2

Therefore, P(X > 0) = 1/2.

(b) P(0 < X < 1):

To find P(0 < X < 1), we integrate the density function f(x) = k(1 - x²) from 0 to 1:

P(0 < X < 1) = ∫[0,1] f(x) dx

Using the previously determined value of k (k = 3/4), we can compute P(0 < X < 1):

P(0 < X < 1) = ∫[0,1] (3/4)(1 - x²) dx

P(0 < X < 1) = (3/4) [x - (x³)/3] | [0,1]

P(0 < X < 1) = (3/4) [(1 - (1³)/3) - (0 - (0³)/3)]

P(0 < X < 1) = (3/4) [(2/3) - 0]

P(0 < X < 1) = (3/4) * (2/3) = 1/2

Therefore, P(0 < X < 1) = 1/2.

Thus,

The value of the probabilities are:

(a) P(X > 0) = 1/2

(b) P(0 < X < 1) = 1/2

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The complete question:

Let X be a random variable with the density function f(x) = k(1 - x^2) for -1 ≤ x ≤ 1 and 0 elsewhere.

Compute the following probabilities:

(a) P(X > 0)

(b) P(0 < X < 1)

The equation that describes the simple harmonic motion of the particle is:

x = 7 * sin(2t + φ)

The equation that describes the simple harmonic motion of a particle moving uniformly around a circle can be represented as:

x = A * sin(ωt + φ)

In this equation:

x represents the displacement of the particle at time t.

A represents the amplitude of the motion.

ω represents the angular frequency or angular speed of the motion.

t represents time.

φ represents the phase constant.

In the given scenario, the particle is moving uniformly around a circle of radius 7 units, with an angular speed of 2 radians per second. In circular motion, the displacement can be represented by the arc length along the circumference of the circle.

Since the angular speed is 2 radians per second, the angular frequency (ω) is also 2 radians per second.

Since the particle is moving uniformly, the amplitude of the motion (A) is equal to the radius of the circle, which is 7 units.

The phase constant (φ) determines the initial position of the particle at t = 0.

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The area between these two values is approximately 0.3876.

To find the area under the standard normal curve to the left of z=−2.9z=−2.9, we can use a standard normal distribution table or a calculator. Using a calculator, we can find the area to be approximately 0.0021.

To find the area under the standard normal curve to the right of z=0.28z=0.28, we can use the same methods. Using a calculator, we can find the area to be approximately 0.3897.

To find the area between these two values, we can subtract the area to the left of z=−2.9z=−2.9 from the area to the right of z=0.28z=0.28.

Thus, the area between these two values is approximately 0.3876. Rounded to four decimal places, the answer is 0.3876.

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Transition matrix is called a doubly stochastic matrix (if sum of each rows and columns is 1 ).

We can see that the distribution of doubly stochastic matrix for all finite dimensional has Uniform stationary distribution.

Doubly Stochastic Matrix

A transition random matrix P is defined as a dual random matrix if the sum of the rows and columns is one.

Therefore, for each column j of the doubly random matrix, let ∑ ipᵢⱼ = 1. Suppose the distribution π on S also has π₁ = π if the Markov chain starts with the initial distribution π₀ = π. That is, if the distribution at time 0 is π, the distribution of π remains 1, and this π is said to be stationary.

Example: A uniform distribution [[π(i) = 1/N for all i]] is stationary if the N × N stochastic transition matrix P is symmetric. More generally, the uniform distribution is stationary if the matrix P is doubly stochastic, i.e. the columns of P sum to 1 (we already know that the rows of P sum to all 1). are available). It is easy to see that when πn approaches a limiting distribution as n → ∞, this limiting distribution must be stationary. To see this, assuming lim n→∞ πn = π' , and n → ∞ in the equation πₙ₊₁ = πₙP, we get π = π'P. This shows that π' is stationary. So , the arguments given pass clearly and simply when the state space is finite.Hence, the required results is achieved .

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Answer:

6.5 feet

Step-by-step explanation:

V = lwh

Plug-in the numbers given and solve for h

312 = 8(6)h

312 = 48h

312/48 48h/48

h = 6.5 feet

One way to tell if (x + 5) is a factor of the polynomial P(x) = x³ + 7x² - 5x - 75 is to use the factor theorem, which states that if (x - c) is a factor of a polynomial P(x), then P(c) = 0.

To apply the factor theorem, we substitute -5 for x in the polynomial P(x) and evaluate:

P(-5) = (-5)³ + 7(-5)² - 5(-5) - 75

= -125 + 175 + 25 - 75

= 0

Since P(-5) = 0, we can conclude that (x + 5) is a factor of P(x). This is because the factor theorem tells us that if P(c) = 0, then (x - c) is a factor of P(x), and we can use the equivalent expression (x + 5) = (x - (-5)) to conclude that (x + 5) is a factor.

Alternatively, we can perform polynomial long division by dividing P(x) by (x + 5) and checking if the remainder is zero. If the remainder is zero, then (x + 5) is a factor of P(x).

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Answer:

50 mph

Step-by-step explanation:

Distance = rate x time

Pearly

Distance = (r + 20)9

Peggy Sue

Distance = 9r

The distances add up t o 1080

(r+20)9 + 9r = 1080 Distribute the 9

9r +180 + 9r = 1080 Combine like terms

18r + 180 = 1080 Subtract 180 from both sides of the equation.

18r = 900  Divide both sides by 18

r = 50

Answer:

$39.04

Step-by-step explanation:

1.79×4=7.16

total cost->7.16+25.99+5.99=39.04

If we compare the p value and the significance level provided we see that pv > α so on this case we have enough evidence in order to FAIL reject the null hypothesis at the significance level provided. And that means that the population variance is not significantly higher than 0.0004, so there is no a violation of the specifications.

A chi-square test is "used to test if the variance of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test. The two-sided version tests against the alternative that the true variance is either less than or greater than the specified value"

n = represent the sample size

α=  represent the confidence level

s² = represent the sample variance obtained

σ =  represent the value that we want to test

Null and alternative hypothesis

On this case we want to check if the population variance specification is violated, so the system of hypothesis would be:

Null Hypothesis: σ² ≤ 0.004

Alternative hypothesis: σ² > 0.004

Calculate the statistic

X = ((n - 1)/σ²)s²

For this test we can use the following statistic:

X² = ((30 - 1)/0.0004)0.0005

And this statistic is distributed chi square with n-1 degrees of freedom. We have eveything to replace.

Calculate the p value

In order to calculate the p value we need to have in count the degrees of freedom , on this case 29. And since is a right tailed test the p value would be given by:

Pv = P(X² > 36.25) = 0.1664

Therefore, If we compare the p value and the significance level provided we see that pv > α so on this case we have enough evidence in order to FAIL reject the null hypothesis at the significance level provided. And that means that the population variance is not significantly higher than 0.0004, so there is no a violation of the specifications.

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Answer:

1.2208898

Step-by-step explanation:

Answer:

Your answer is Number 1

Step-by-step explanation:

1.2208898x10 squared 7

Answer:

I think f(X) C is the answer.

The empirical probability of drawing the cards will be 6 / 55.

The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.

Given that a card is drawn one at a time from a well-shuffled deck of 52 cards. In 13 repetitions of this experiment, 1 king is drawn.

The number of kings in a well-shuffled deck consists of 52 cards which is 4.

The number of ways of drawing consists of 4 kings in 13 repetitions which is ¹³C₄.

In 13 repetitions, 2 kings are drawn by ¹³C₂ ways,

The empirical probability will be calculated as,

P(E) = ¹³C₂ / ¹³C₄

P(E) = [ (13!) / (13-2)! ] ÷ [ (13!) / ( 13-4)!(4!) ]

P(E) = ( 4 x 3 ) / ( 11 x 10)

P(E) = 6 / 55

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Answer:

(5)(6)+7=37

Step-by-step explanation:

(5)(6)+7

=37

It's just trial and error.

Please give brainliest.

Answer:

6x7=42

42-5=37

Step-by-step explanation:

I multiplied 6 by 7 to get 42 then I subtracted 42 by 5 and got 37.

Answer:

17. x=11  18. x=18

Step-by-step explanation:

For 17, 14x-25=129, add 25 to 129 to get 154, then divide 154 by 14x to get x=11. The conditional for 17. would be "If J║K then alternate interior angles are congruent.

For 18. 2x-8+9x-10=180, combine like terms to get 11x - 18 =180, add 18 to 180 to get 198 than divide 198 by 11x and get x = 18. Converse statement would be, "If J║K then consecutive interior angles are supplementary.

WE are givent the functions

and

We want to calculate the following

This operation is the function composition. What it means is that first we are going to input -4 into g. Then, the value we get, we input it into f.

So first we calculate

Now, we calculate

So we have that

The range of number of arrivals you can expect for this supermarket, usually 95% of the time, is 70 to 126.

To determine the range of number of arrivals expected at the supermarket, given the mean and standard deviation, we can use the concept of the normal distribution. Assuming the data is normally distributed, we can calculate the range that includes 95% of the data, which is the usual range. The answer options provided represent different ranges of number of arrivals. We need to identify the range that falls within the 95% confidence interval of the data.

To find the range of number of arrivals expected with 95% confidence, we can use the mean and standard deviation of the sample. The mean represents the average number of arrivals, and the standard deviation measures the dispersion of the data.

Since the data is assumed to follow a normal distribution, we know that approximately 95% of the data falls within two standard deviations of the mean. This means that the expected range will be the mean plus or minus two standard deviations.

To calculate this range, we can add and subtract two times the standard deviation from the mean. Using the given mean and standard deviation, we can determine the lower and upper limits of the expected range.

Comparing the answer options provided, we need to choose the range that falls within the calculated range. The option that matches the calculated range would be the correct answer, representing the range of number of arrivals we expect at the supermarket with 95% confidence.

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The molarity of the resulting solution is 3.99 × 10⁻⁴ M. The correct option is the third option 3.99 × 10⁻⁴ M

From the question, we are to determine the molarity of the resulting solution

From the given information,

Number of moles = 5.99 × 10⁻⁶ mol

Volume = 1.50 × 10⁻² L

Using the formula,

Molarity = Number moles / Volume

∴ Molarity = (5.99 × 10⁻⁶) / (1.50 × 10⁻²)
Molarity = 3.99 × 10⁻⁴ M

Hence, the molarity of the resulting solution is 3.99 × 10⁻⁴ M. The correct option is the third option 3.99 × 10⁻⁴ M

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Answer:

The answer is 3.99 × 10–4 M

Step-by-step explanation:

I just did the assignment on Edge :)