Simplify cot^2x / cscx-1

Answer:

76ft^3

Step-by-step explanation:

Volume of a cube is Length x Width x Height, basically: 4 x 4 x 4 which is 64 ft^3. Add that to the small box gives you 64 + 12 or just 76 ft^3

The angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

Given sinz = -4/5 for pi < z < (3pi)/2, we need to find the value of cosz. We can use the trigonometric identity of Pythagorean theorem to find the value of cosz.

According to Pythagorean theorem, sin2θ + cos2θ = 1, where θ is the angle in the right-angled triangle and sin, cos are the trigonometric ratios.

The negative sign for the given sinz indicates that the angle z is in the third quadrant. So, we can take the help of the unit circle to find the value of cosz as shown below:

Here, we have used the Pythagorean identity of sin2z + cos2z = 1 on the unit circle to find the value of cosz. Since the value of sinz is already given, we can find the value of sin2z as: sin2z = sinz x sinz = (-4/5) x (-4/5) = 16/25

Then, we can substitute the value of sin2z in the Pythagorean identity as: cos2z = 1 - sin2z = 1 - (16/25) = 9/25We need to find the value of cosz.

So, we can take the square root of cos2z as: cosz = ±(√(9/25)) = ±(3/5)The sign of cosz can be determined by considering the quadrant of the angle z.

Since the angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

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Answer:

A

Step-by-step explanation:

40

If the coordinates of X, Y, Z, and W on a number line are - 6, -2, 4, and 8, respectively, then the lengths of the segment XY is 4 and that of the segment ZW is also 4, and hence, these two segments (XY and YZ) are indeed Congruent in nature.

To increase the understandability of this question, we will go ahead a visual representation of the number line based on the condition mentioned in the question statement, attached hereby as "Number Line (-10 to 10)".

As per the figure, we can clearly see that the line segment XY begins at (-6) on the number line and ends at (-2), i.e., Length of XY is:

[(-2) - (-6)] = 4.

Similarly, we can also see that the line segment ZW begins at (4) on the number line and ends at (8), i.e., Length of ZW is:

(8 - 4) = 4.

Also, since the lengths of both XY and ZW are same, i.e., 4 Units, they are congruent in nature.

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Answer:

Mean = 1.6

Variance = 0.84

Standard deviation = 0.916

Step-by-step explanation:

We are given the following probability distribution below;

            X                         P(X)              \(X \times P(X)\)         \(X^{2} \times P(X)\)

            0                          0.1                     0                        0

            1                           0.4                   0.4                     0.4

            2                          0.3                   0.6                     1.2

            3                          0.2                  0.6                    1.8      

         Total                                               1.6                    3.4    

Now, the mean of the probability distribution is given by;

         Mean, E(X) =  \(\sum X \times P(X)\)  = 1.6

Also, the variance of the probability distribution is given by;

        Variance, V(X) =  \(\sum X^{2} \times P(X) - (\sum X \times P(X))^{2}\)

                                 =  \(3.4 - (1.6)^{2}\)

                                 =  3.4 - 2.56 = 0.84

And the standard deviation of the probability distribution is given by;

          Standard deviation, S.D. (X) =  \(\sqrt{Variance}\)

                                                         =  \(\sqrt{0.84}\)  = 0.916.

Answer:

-9

Step-by-step explanation:

brackets first

therefore

-3(3)=

then its just multiplication

-3 x 3 = -9 or -3(3) = -9

these are the same. Also a negative times a positive is a negative this is why its -9.

Answer:

2.72 inches

Step-by-step explanation:

1040/8.5=122.35

1 inch on the map = 122.35 miles actual distance

333/122.35=2.72

Answer:

31

Step-by-step explanation:

Answer:

\left(3a^2b\right)^3\left(2a^3b\right)(3a2b)3(2a3b) = 5832a^{11}b^6  

hope this helped

Answer:

(3•2a5b6)

Step-by-step explanation:

durr

Answer:

true

Step-by-step explanation:

England claimed the colonies, so they ruled over them.

The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

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a) Expected value for decision 1, (d₁) is equals to the 2.8.

Expected value for decision 2, (d₁) is 3.2

b) The best decision is decision alternative (d₂) ,with an expected value of 3.2.

c)The solution is more sensitive to s₂.

We have a payoff table present in above figure for two decisions.

a) The expected value for decision 1 (d₁) =10×0.2 + 1× 0.8 = 2.8

The expected value for decision 2 (d₂)

= 4× 0.2+ 3× 0.8 = 0.8 + 2.4 = 3.2

Best decision is that one which have greater expected value. The best decision is decision alternative (d₂) ,with an expected value of 3.2.

b) Perform sensitivity analysis on d₁

optimal value from part a) = 2.8

let x be payoff decision alternative when state of nature s₁ occurs, then

=> 0.2× x + 0.8× 1 = 3.2

so, x = 12 so, range of payoff for s1 is 10 to 12. So, increment= 2

maximum percentage change = 20%

Now, let y be payoff decision alternative when state of nature s2 occurs,then

=> 0.2× 10 + 0.8× y = 3.2

So, y = 1.2/0.8 = 1.5

so, range of payoff for s₁ is 1 to 1.5

increment = 0.5

maximum percentage = 20%

Now, let y be payoff decision alternative when state of nature s₂ occurs,then

0.2× 10+ 0.8× y = 3.2

So, y= 1.2/0.8 = 1.5

so, range of payoff for s₁ is 1 to 1.5 and

increment = 0.5

maximum percentage change = 50%

The solution is more sensitive to s₂ , as an increment of 1.5 d₁(s₂) ,causes a break even between the decision alternatives whereas it takes an increment of to 2 provide the same effect for d₁(s₁).

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Answer:

1. Independent Variable - the variable representing the first elements of the ordered pairs in a function; the inputs

2. Dependent Variable - the variable representing the second elements of the ordered pairs in a function; the outputs

- Real and rational number.

It's a rational number because it can be represented by the integer of integer numbers. It's also a real number because rational numbers belong to the real set of numbers and the number doesn't contain an imaginary component (i).

It's not a natural or whole number because it can't be used to count or order things.

It's not an integer because it can't eb written without using a fractional component.

Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

Answer:

780

Step-by-step explanation:

In this example we will call Original Price = y

72%=0.72

218.40=0.72*y

1-0.72=0.28

218.4÷0.28=780

Answer:

here, diameter is 4 cm

radius=diameter/2

=4/2 cm

=2 cm

now use formula pie (r)^2 where pie is 3.14

=pie *(r)^2

=3.14*(2cm)^2

=12.56 cm^2

Step-by-step explanation:

Answer:

x = 111°

Step-by-step explanation:

The interior sum of a triangle is 180°

x + 37 + 32 = 180

x + 69 = 180

x = 111

good luck, i hope this helps :)

The point on the ellipsoid where the tangent plane is perpendicular to the line with parametric equations x = 2 - 4t, y = 1 + 8t, and z = 3 - 2t is (-3/2, 1/2, 3/2).

The gradient of the ellipsoid is given by (2x, 8y, 2z). At the point (x₀, y₀, z₀) on the ellipsoid, the gradient is (2x₀, 8y₀, 2z₀).

The line with parametric equations x = 2 - 4t, y = 1 + 8t, and z = 3 - 2t has a direction vector of (-4, 8, -2).

For the tangent plane at the point (x₀, y₀, z₀) to be perpendicular to the line, the normal vector of the plane must be parallel to the direction vector of the line. Thus, we have:

(2x₀, 8y₀, 2z₀) · (-4, 8, -2) = 0

-8x₀ + 64y₀ - 4z₀ = 0.

Also, the point (x₀, y₀, ₀) lies on the ellipsoid, so we have:

x₀² + 4y₀² + z₀² = 9.

We solve the system of equations to find the values of x₀, y₀, and z₀:

x₀ = -3/2, y₀ = 1/2, ₀ = 3/2.

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Answer: 120 yds

Step-by-step explanation:

48+30+24+18+120 yds

Andy would pay $23.94 more in finance charges compared to Brett, given their respective APRs, average daily balances, and monthly percentage rates.

To calculate the monthly percentage rate (MPR) from the given annual percentage rate (APR), we divide the APR by 12.

For Brett:

APR = 12.6%

MPR = 12.6% / 12 = 1.05%

For Andy:

APR = 16.2%

MPR = 16.2% / 12 = 1.35%

Next, we can calculate the finance charge for each individual using the formula: finance charge = average daily balance * MPR.

For Brett:

Finance charge = $7,980 * 1.05% = $83.79

For Andy:

Finance charge = $7,980 * 1.35% = $107.73

To find the difference in the finance charges between Andy and Brett, we subtract Brett's finance charge from Andy's finance charge:

Difference = $107.73 - $83.79 = $23.94

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Answer:

how you gonna go out in a pandemic?

Step-by-step explanation:

unless you're in a place where the virus was handled properly, the understandable, have a nice day.

and uhh

communication is key to a healthy relationship

From the table , the insurance cost for the second year based on the prescription given is : $1329

Using the prescription table, the six cylinder compact , second year car with a mileage of 14000 falls in the mid table category with the 13000 mileage label .

The operating cost in insurance for the second year is therefore $1329.

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Answer:

-2

Step-by-step explanation:

Each value is divided by -2 to get to the next term

Answer:-1/2

Step-by-step explanation:

common ratio=(2nd term➗Ist term) or (3rd term➗2nd term)

first term=104

Second term=-52

Common ratio=-52 ➗ 104

Common ratio=-1/2

The angle measure that belongs in the green box is given as follows:

70.67º.

We consider a triangle with side lengths and angles related as follows, as is the case for this problem:

Then the lengths and the sines of the angles are related as follows:

sin(A)/a = sin(B)/b = sin(C)/c.

The relation for this problem is given as follows:

sin(x)/12  = sin(76º)/12.34

Applying cross multiplication, the missing angle measure is given as follows:

sin(x) = 12 x sine of 76 degrees/12.34

sin(x) = 0.9436.

x = arcsin(0.9436)

x = 70.67º.

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The sample mean of the distribution is an estimate of the population mean

The mean of the sampling distribution of sample means is 51

The given information are:

Population mean, μ = 51

Standard deviation, σ = 9

Sample size, n = 36

The sample mean is an estimate of the population mean.

So, we have:

\(\bar x = \mu\)

Substitute known values

\(\bar x = 51\)

Hence, the mean of the sampling distribution of sample means is 51

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Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

6.11/104

Answer:

240 Pints

Step-by-step explanation:

To convert 30 gallons into pints you need to multiply 30 by the conversion factor in order to get the volume amount from gallons to pints.

Answer: 240 pints

Step-by-step explanation:

One pint is equal to 0.125 gallons.