if cotθ=1/\(\sqrt{x} 3\\\) , the value of \(sec^{2}\) θ + \(cosec^{2}\) θ is
a) 1
b) 40/9
c) 38/9
d) 5\(\frac{1}{3}\)

The absolute value of y, and the square root of (xy to the power of z) is \(xy^{z}\)

Floats are a type of number representation that allows us to store very large or very small numbers with a high degree of precision. In computer programming, it is often used to represent real numbers, such as decimals.

In this problem, we are given three float numbers x, y, and z and asked to perform various mathematical operations with them.

Let's start with the first operation: x to the power of z. This means that we want to find x raised to the power of z. This can be written mathematically as xᵃ.

The next operation is x to the power of (y to the power of z). This means that we want to find x raised to the power of y raised to the power of z. This can be written mathematically as x(yᵃ).

The third operation is the absolute value of y. The absolute value of a number is its magnitude, or distance from zero, regardless of its sign. For example, the absolute value of -5 is 5 and the absolute value of 5 is 5. Mathematically, it can be written as |y|.

Finally, we have to find the square root of (xy to the power of a). The square root of a number is the value that, when multiplied by itself, gives the original number.

The square root of 25 is 5 because 5 * 5 = 25. This can be written mathematically as

=> √(xyᵃ).

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In this problem, a researcher wants to estimate the number of households with two cars with 95% confidence and a margin of error of 5%. The researcher also knows that a previous study showed that 22% of households had two cars. The possible answers are 4, 339, and 186.

To answer this question, we need to use the formula for sample size calculation: n = (Z^2 * p * q) / E^2, where n is the sample size, Z is the Z-score for the desired level of confidence (in this case, 1.96 for 95% confidence), p is the estimated proportion of the population with the characteristic of interest (in this case, 0.22), q is the complement of p (q = 1 - p), and E is the desired margin of error (in this case, 0.05). Plugging in these values gives us n = (1.96^2 * 0.22 * 0.78) / 0.05^2, which simplifies to n = 186.

Therefore, the correct answer is (c) 186. This means that the researcher needs to survey 186 households to estimate the number of households with two cars with 95% confidence and a margin of error of 5%.

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Answer:

12-y------------> 9

3x-y------------>21

4y-10----------->2

1/4 xy-----------> 6

Solution,

Given,

X=8

y=3

Now,

\(1. \: \: 12 - y \\ \: \: \: = 12 - 3 \\ \: \: = 9 \\ 2. \: \: 3x - y \\ \: \: = 3 \times 8 - 3 \\ \: \: = 21 \\ 3. \: \: 4y - 10 \\ \: \: = 4 \times 3 - 10 \\ \: = 12 - 10 \\ \: \: = 2 \\ 4. \: \: \frac{1}{4} xy \\ \: \: = \frac{1}{4} \times 8 \times 3 \\ = 6\)

hope this helps...

Good luck on your assignment...

A polygon is called non-convex if there are "dents" or indentations in it, where the internal angle is greater than 180 degrees.

In other words, a non-convex polygon is a polygon whose line segments intersect, creating an interior angle greater than 180 degrees. This is in contrast to a convex polygon, where all of the interior angles are less than 180 degrees and none of the line segments intersect.

Non-convex polygons can have a variety of shapes and sizes, and can be composed of any number of sides. However, they are generally more difficult to work with mathematically than convex polygons, and often require more advanced techniques to analyze and understand their properties.

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The probability of rolling either 2 or 4 is B) 1/4.

Let's denote the probability of rolling 4 by p. Then, the probability of rolling 3 is 3p, the probability of rolling 2 is 9p, and the probability of rolling 1 is 27p.

The sum of these probabilities must equal 1, so we have:

p + 3p + 9p + 27p = 1

Simplifying this equation, we get:

40p = 1

p = 1/40

Therefore, the probability of rolling 4 is 1/40, the probability of rolling 3 is 3/40, the probability of rolling 2 is 9/40, and the probability of rolling 1 is 27/40. To find the probability of rolling either 2 or 4, we add the probabilities of rolling 2 and 4:

9/40 + 1/40 = 10/40 = 1/4

So, the answer is (b) 1/4.

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Domain: (-6, -1]

This is where the graph lines up with the x-axis.

Range: [-6, 4)

This is where the graph lines up with the y-axis.

See the two pictures for a visual reason why.

Answer:

46×2 I hope this is clear and hope this is a answer

Answer:

46.2

Step-by-step explanation:

sin42/31 = sin85/y

when you solve you get 46.2

The distance Fritz travels to work is 12 miles. When he drives, it takes him 40 minutes, which is 2/3 of an hour. When he takes the train, it takes him 30 minutes, which is 1/2 of an hour.

First, we need to convert the time into hours. 40 minutes is 2/3 of an hour, and 30 minutes is 1/2 of an hour.

Next, we need to find Fritz's driving speed. We know that the train travels 15 miles per hour faster than Fritz, so his driving speed is 15 mph.

Finally, we can find the distance to work by multiplying Fritz's driving speed by the time it takes him to drive to work. 15 mph * 2/3 hour = 12 miles.

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x>-6

1st step: 3(x-1)>-15------(3x-3)>-15

2nd step: subtract -3 from -15 which is -18

3rd step: 3x>-18------x>-6

Answer:

x > -4

Step-by-step explanation:

First, distribute the 3 among everything inside the parentheses to get 3x - 3 > -15.

Next, add 3 on both sides to get 3x > -12, then divide 3 on both sides to get x > -4.

Hope this helps :)

Also I love the kitty lol, but what's with the hair tie?

Answer: 117

Step-by-step explanation:

Answer: 117

Step-by-step explanation: K12 Quiz, The answer above is correct.

The particular solution of the given equation is given by:\(y = c1cos(2x) + c2sin(2x) + (x^2 - x + 1/48)e^(2x).\)

Given an equation, using the method of undetermined coefficients, the particular solution is to be found. The equation is:\((D4+4D2+4)y = xe^(2x)\)

Where, D denotes the derivative with respect to x.Step-by-step explanation:

First, the characteristic equation is to be determined. That is,D^2+4 = 0 => D = ∓2iThe complementary function (CF) is given by:

\(yCF = c1cos(2x) + c2sin(2x)\)

Now, let us assume the particular solution (PS) as:

yPS = Ax^2e^(2x)

where, A is a constant.

Differentiating PS, we get:\(y'PS = 2Axe^(2x) + 2Ax^2e^(2x)y''PS = 4Axe^(2x) + 4Ax^2e^(2x) + 4Axe^(2x) + 2Ax^2e^(2x)y'''PS = 8Axe^(2x) + 12Ax^2e^(2x) + 8Ax^2e^(2x) + 8Axe^(2x)y''''PS = 16Axe^(2x) + 32Ax^2e^(2x) + 16Ax^2e^(2x) + 16Axe^(2x)\)Putting these values in the given equation, we get:

\((16Ax^2e^(2x) + 32Ax^2e^(2x) + 16Ax^2e^(2x) + 16Axe^(2x)) + 4(4Axe^(2x) + 2Ax^2e^(2x)) + 4(Ax^2e^(2x)) = xe^(2x)\)Simplifying the equation, we get:\(48Ax^2e^(2x) + 16Axe^(2x) = xe^(2x)\)Comparing the coefficients of x and e^(2x), we get:48A = 1 and 16A = 0. Therefore, A = 1/48 and A = 0, which is not possible.

Hence, the assumption of PS is incorrect.

Hence, another assumption for PS is:\(yPS = (Ax^2 + Bx + C)e^(2x)\)Differentiating and putting the values in the given equation, we get:2B + 8C = 1 => 4B + 16C = 0 => 2A + 4B + 8C = 0Solving these equations, we get:A = 1/48, B = -1/24, and C = 1/48Hence, the particular solution is:

\(yPS = (x^2 - x + 1/48)e^(2x)\)

Therefore, the complete solution is:\(y = yCF + yPS = > y = c1cos(2x) + c2sin(2x) + (x^2 - x + 1/48)e^(2x).\)

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The normal to the parabola\(z = x^2 + y^2\) at the point (3, 3, 18) intersects the parabola again at the point (-1/3, -1/3, 20).

To find the normal to the paraboloid\(z = x^2 + y^2\) at points (3, 3, 18), we first need to find the slope of the surface at that point. The gradient vector is given by

\(∇f(x,y,z) = < 2x, 2y, -1 >\)

So the gradient vector at points (3, 3, 18) is

∇f(3, 3, 18) = <6, 6, -1>

This gradient vector is orthogonal to the plane tangent to the surface at the point (3, 3, 18). So the surface normal at this point is parallel to the gradient vector and can be expressed as

x = 3 + 6t

y = 3 + 6t

z = 18 - t

To discover where this line converges the parabola once more, we ought to substitute the x, y, and z equations into the parabola's condition. 

\(z = x^2 + y^2\)

So it looks like this:

\(18 - t = (3 + 6t)^2 + (3 + 6t)^2\)

\(18 - t = 18t^2 + 36t + 18\)

\(0 = 18t^2 + 37t\)

t=0 or t=-37/18

The value t = 0 corresponds to the starting point (3, 3, 18), so we are interested in the second value t = -37/18. Substituting this value into the normal equation gives:

x = 3 + 6(-37/18) = -1/3

y = 3 + 6(-37/18) = -1/3

z=18-(-37/18)=360/18=20

therefore, the normal to the parabola \(z = x^2 + y^2\) at the point (3, 3, 18) intersects the parabola again at the point (-1/3, -1/3, 20). 

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The probability that X is greater than 145.28 is approximately 0.0465.

Given that X is normally distributed with mean (μ) of 110 and standard deviation (σ) of 21. We are to find the probability that X is greater than 145.28. It can be calculated as follows: We can calculate the Z-score value with the help of the following formula, Z = (X - μ) / σWhere X is the random variable value, μ is the mean, and σ is the standard deviation. Substituting the values in the formula, we get: Z = (145.28 - 110) / 21Z = 1.68476 Using the Z-table, we can find the probability that X is greater than 145.28 as follows: From the Z-table, we get: P(Z > 1.68) = 0.0465

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

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The inverse of a logarithmic function is an

The inverse of the inverse logarithmic function is simply the exponential function.

The inverse logarithmic function (also known as the logarithm or log) takes as input a number x and returns the power to which a fixed number (usually 10 or e) must be raised to produce x. The inverse of the logarithmic function is the exponential function, which takes as input a power and returns the number that would result from raising a fixed number to that power. In other words, if log_b(x) = y, then b^y = x, where b is the fixed number.

In other words, the exponential function is the inverse of the inverse logarithmic function.

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I hope this helps you

8/4=8/4=18/9=2

Side - Side - Side

Answer:

Explanation:

All corresponding sides have the same ratio

y=-8x + 89​

Slope m= 8

y- intercept = +89. For x= 0

Answer:

x ÷ 8

Step-by-step explanation:

The exact length of the curve represented by x = 6 + 3t^2 and y = 4 + 2t^3, where 0 ≤ t ≤ 3, can be found by evaluating the integral ∫[0,3] 6t√(1 + t^2) dt.

To find the exact length of the curve represented by the parametric equations x = 6 + 3t^2 and y = 4 + 2t^3, where 0 ≤ t ≤ 3, we will use the arc length formula. The length of the curve is the integral of the square root of the sum of the squares of the derivatives of x and y with respect to t.

We start by finding the derivatives of x and y with respect to t:

dx/dt = 6t

dy/dt = 6t^2

Next, we calculate the integrand for the arc length formula:

√[(dx/dt)^2 + (dy/dt)^2] = √[(6t)^2 + (6t^2)^2] = √(36t^2 + 36t^4) = 6t√(1 + t^2)

Now, we can set up the integral to find the length of the curve:

Length = ∫[0,3] 6t√(1 + t^2) dt

To evaluate this integral, we can use a suitable technique such as substitution or integration by parts. After evaluating the integral, we will have the exact length of the curve between t = 0 and t = 3.

In conclusion, the exact length of the curve represented by x = 6 + 3t^2 and y = 4 + 2t^3, where 0 ≤ t ≤ 3, can be found by evaluating the integral ∫[0,3] 6t√(1 + t^2) dt.

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To find P(Q and R), we can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P(R) = 0.24P(Q and R) = P(Q) × P(R) = 0.37 × 0.24 = 0.0888.

Therefore, the probability of both Q and R occurring together is 0.0888. Long Answer:Independent events:In probability theory, two events are independent if the occurrence of one does not affect the probability of the occurrence of the other. Two events A and B are independent if the probability of A and B occurring together is equal to the product of the probabilities of A and B occurring separately. Mathematically,P(A and B) = P(A) × P(B) Suppose Q and R are independent events. Find P(Q and R).

We can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P

(R) = 0.24

P(Q and R) = P(Q) × P(R)

= 0.37 × 0.24

= 0.0888

Therefore, the probability of both Q and R occurring together is 0.0888. Hence, P(Q and R) = 0.0888. In probability theory, independent events are the events that are not dependent on each other. It means the probability of one event occurring does not affect the probability of the other event occurring.

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Answer:

Can you pls give a bit more information.

Step-by-step explanation:

Answer:

68.2 degrees

Step-by-step explanation:

\(1.19\frac{180}{\pi }\)

\(68.2\) degrees

Answer:

18

Step-by-step explanation:

If n=9, then plug in 9 for n in the equation and solve. You should get 2•9, which is 18 when you simplify. Hope this helps and please mark brainliest!

The two expressions are equivalent.

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

2x + 4 - 1 can be represented as 2x + 3

3 + x + x  can be represented as 3 + 2x

The two expressions are equivalent.

At x = 6

2x + 3    and     3 + 2x

2(6) + 3   and    3 + 2(6)

12 + 3     and     3 + 12

   15        and       15

Both are equal.

At x = 2

2x + 3    and     3 + 2x

2(2) + 3   and    3 + 2(2)

 4 + 3     and      3 + 4

    7        and        7

Both are equal.

Thus the two expressions are equivalent.

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Answer:

if both expressions have the same value after submitting and simplifying for x = 6 and x = 2, then they are equivalent. Substitute 6 for each variable, 6 for each variable, x, in both expressions. The value on both expressions is 15. Now, substitute 2 for each variable, x, in both expressions. The value of both expressions is 7. Therefore, the expressions are equivalent.

Step-by-step explanation:

Sample response. Wait, have you smiled today? its very important:)

Height = 7cm

Surface area = 462 cm2

The surface area of a cylinder is equal to the area of each circle ( pi x radius^2) plus the area of the side (2 pi x radius x height)

Surface area of a cylinder = pi r2 + pi r2 + 2pi r h

Since it is closed at one end, we only add one circle area:

S = pi r2 + 2pi r h

Replacing with the values given:

462 = pi r^2 + 2pi (r) 7

462 = pi r^2+ 43.98 r

462 -44r = pi r^2

(462-44r)/pi = r^2

147-14r = r^2

0= r^2 +14r -147

(r+21 ) (r-7)=0

r=-21 or r=7

Since it can be negative:

radius = 7

Answer:

8

Step-by-step explanation:

Answer:

The answer is 11/5.

Step-by-step explanation:

First, multiply 3 and 4 together. Do the same with 3 and -2x. Now you should have −6x + 12 = −x + 1. Now, add x to both sides. You should have −5x + 12 = 1. Now subtract 12 to both sides. You should have -5x = -11. Divide both sides by -5. Since -11 and -5 both have the negative sign, they cancel out. You should now get the answer, 11/5! Have a good day!

Answer:

The equation for the function g is g(x) = \(\frac{12}{5}\) x - \(\frac{29}{5}\) ⇒ C

Step-by-step explanation:

The form of the equation of the linear function is g(x) = m x + b, where

The formula of the slope is m = \(\frac{y2-y1}{x2-x1}\) , where (x1, y1) and (x2, y2) are 2 points on the line represents the function

From the given table

∵ The points (-3, -13) and (2, -1) belong to the function g(x)

∴ x1 = -3 and y1 = -13

∴ x2 = 2 and y2 = -1

→ Substitute them in the formula above to find m

∵ m = \(\frac{-1--13}{2--3}\) = \(\frac{-1+13}{2+3}\) = \(\frac{12}{5}\)

∴ m = \(\frac{12}{5}\)

→ Substitute in the form of the equation above

∴ g(x) = \(\frac{12}{5}\) x + b

∵ There is only one choice that has m = \(\frac{12}{5}\)

∴ The equation for the function g is g(x) = \(\frac{12}{5}\) x - \(\frac{29}{5}\)

∴ Choice C represents the equation of function g

The allowance time, if the standard time is 234.15 minutes and the basic time is 233.4 minutes is 0.75 minute

To calculate the allowance time, we can use the following formula:

Allowance time = Standard time - Basic time

Thus, Allowance time = 234.15 minutes - 233.4 minute = 0.75 minutes

Therefore, the allowance time is 0.75 minutes.

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