(07.04 LC)
The sail of a boat is in the shape of a right triangle, as shown below:
6 m
50
Which expression shows the length, in meters, of the side adjacent to the 50 degree angle? (6 points)
6 sin 50
6 cot 50
6
sec 50°
6
cot 508

Answer:

\(y=\frac{15}{18} x+13\)

Step-by-step explanation:

Use a graphing calculator,

hope it helps

The probability of getting all tails when flipping a coin three times can be calculated using the multiplication rule of probability. For each flip of the coin, there are two possible outcomes: heads or tails.

Assuming the coin is fair, both outcomes are equally likely, so the probability of getting tails on any one flip is 1/2.

P(all tails) = P(tails on first flip) x P(tails on second flip) x P(tails on third flip)

= (1/2) x (1/2) x (1/2)

= 1/8

Therefore, the probability of getting all tails when flipping a coin three times is 1/8 or 0.125 when expressed as a decimal rounded to four decimal places.

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       For C1(Q) = 3 - 2Q.

        For C2(Q) =  4.

     2. The AVC function

           For C1(Q) = 5/Q + 3 + 20/Q - Q.

           For C2(Q) = 3/Q + 4 + 2/Q.

     3. The AFC function

              For C1(Q)= 5/Q - 20/(5 + 3Q + 20/Q - Q)

              For C2(Q) = 0.

     4.  To find the AC function

        For C1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

         For C2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

    5.To find the ATC function

    For C1(Q)= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²)

     For C2(Q)= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

1. To find the MC function, we take the derivative of the cost functions with respect to Q.

For C1(Q) = 5 + 3Q + 202 - Q^2, MC1(Q) = 3 - 2Q.

For C2(Q) = 3 + 4Q + 2, MC2(Q) = 4.

2. To find the AVC function, we divide the cost functions by Q.

For C1(Q), AVC1(Q) = (5 + 3Q + 202 - Q^2)/Q = 5/Q + 3 + 20/Q - Q.

For C2(Q), AVC2(Q) = (3 + 4Q + 2)/Q = 3/Q + 4 + 2/Q.

3. To find the AFC function, we subtract the AVC function from the ATC function.

For C1(Q), AFC1(Q) = (5 + 3Q + 202 - Q^2)/Q - (5 + 3Q + 202 - Q^2)/(5 + 3Q + 20/Q - Q)

= 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AFC2(Q) = (3 + 4Q + 2)/Q - (3 + 4Q + 2)/(3/Q + 4 + 2/Q) = 0.

4. To find the AC function, we add the AVC function to the AFC function.

For

C1(Q), AC1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AC2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

5. To find the ATC function, we divide the AC function by Q.

For

C1(Q), ATC1(Q) = [(5 + 3Q + 202 - Q²)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q)]/Q

= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²).

For

C2(Q), ATC2(Q) = [(3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q]/Q

= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

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So the first graph is Radical/Irrational Graph and the second is Parabola/Quadratic Graph.

You can find the domain by looking at the x-axis and for the range, look at the y-axis. That means all of x-axis is the domain and all of y-axis is the range.

From the first graph, the domain is from -2 to +infinite. But because there's a colored dot, it's either ≥ or ≤.

But because -2 is less than + infinite, we use ≤ instead. Thus, x ≥ -2

Remember that x-values can't be equal to infinite. So we use < instead since there's no x-values that are equal to ∞.

Or we can write in interval notation as [-2,+∞) for symbol "[ or ]" is equal to ≤ or ≥ and ") or (" is equal to > or <

Again, the domain for the first graph is x ≥ -2 or x ∈ [-2, +∞)

And the range, look at the y-axis. Because we can substitute x from -2 to less than ∞, that means the range is from -1 because when x = -2 then x = -1 to + infinite.

Therefore, the range is y ≥ -1 or y ∈ [-1, +∞)

Now for the second graph. Look at the x-axis to find the domain. We notice that the colored dot is at x = -3 and the one with white dot is at x =2. The one without the color or white dot is > or < while the colored one is ≥ or ≤.

So the domain is -3 ≤ x < 2 or x ∈ [-3, 2)

For range, look at the y-axis. Notice that the colored dot is at y = -5 and the maximum point is at y =4. The y =4 is still in the domain so the range still applies to the maximum point.

Therefore the range is -5 ≤ y ≤ 4 or y ∈ [-5, 4]

Answer:

it is 38.74

Step-by-step explanation:

kekdjfjaksodkfjaj

Answer:

131.63

Step-by-step explanation:

Sample method: Use properties of operations. Let x represent the markup.

​

            x98.75=33.3100                             Write the proportion.

            x98.75=0.333                              Divide 33.3 by 100.

98.75 · x98.75=(0.333)∙98.75               Multiplication Property of Equality

                      x=32.88                              Simplify.

​

Add the markup to the wholesale cost.

The selling price is  $98.75+$32.88  or $131.63.

Yes, the room heater will fit into the robust box, which is 45 cm in width and 90 cm in height.

The cylindrical, which is frequently a lobed solid, comprises one of the most simple curvature geometric forms. In simple geometry, it is known as a prism with a circle as its basis. The term "cylinders" is also used to refer to an infinitely curved surface in a number of modern domains of topology and geometries. A "cylinder" is a two half object made up of curved surfaces with circle tops and bases. A cylinder is a two half solid figure with two bases that are both similar circles connected at its height, which is controlled by the separation of the legs from the center. Cans of iced drinks and the wicks from toilet paper are example of cylinders.

given

r = d/2 = 40/2 = 20 cm

v = pi *r*r*h

100 = 3.14 * 20*20 *h

100 = 1256*h

h = 0.08 cm

strong box = surface area of cuboid = 45 * 90

= 4050 cm2

surface area of water heater = A=2πrh+2πr2=2·π·20·0.08+2·π·202

≈2523.3

Yes, the room heater will fit into the robust box, which is 45 cm in width and 90 cm in height.

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Life Insurance Corporation (LIC) issued a policy in his favor charging a lower premium than what it should have charged if the actual age had been given. the optimal solution of the primal problem is (x1,x2,x3)=(5,0,10) and the objective function value is 45,000.

The optimal value of the given LP problem is 45,000. In this problem,  x1 = 5,

x2 = 0 and

x3 = 10.

Therefore, the objective function value = 7x1 + 5x2 + 9x3 will be 45,000, which is the optimal value.

problem is Minimize z = 7x1 + 5x2 + 9x3

subject to the constraints: i. 2x1 + x2 – 0.5x3 ≤ 5ii. 0.9x1 - 0.1x2 - 0.1x3 ≤ 10iii. x1 ≤ 14iv. x2 ≤ 20v. x3 ≤ 10vi. 3x1 + x2 + 2x3 ≤ 50

Duality: Maximize z = 5y1 + 10y2 + 14y3 + 20y4 + 10y5 + 15,000y6

subject to the constraints:2y1 + 0.9y2 + y3 + 3y6 ≥ 7y1 - 0.1y2 + y4 + y6 ≥ 0.5y1 - 0.1y2 + y5 + 2y6 ≥ 0y3, y4, y5, y6 ≥ 0 Now, we will solve the dual problem using the Simplex method. Using Excel Solver, As per complementary slackness theorem, the value of the objective function of the dual problem = 45,000, which is same as the optimal value of the primal problem. Therefore, the optimal solution of the primal problem is (x1,x2,x3)=(5,0,10) and the objective function value is 45,000.

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An equation for this statement "The sum of seven times a number and 16 is 163," is 7n + 16 = 163.

The solution is 21.

In order to solve this word problem, we would assign a variable to the unknown number, and then translate the word problem into an algebraic equation as follows:

Let the variable n represent the unknown number.

Based on the statement "The sum of seven times a number and 16 is 163," we can logically deduce the following algebraic equation;

7n + 16 = 163

7n = 163 - 16

7n = 147

n = 147/7

n = 21.

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To convert the octal number \(4137.231_8\) to a hexadecimal number, the final answer is 16.

To convert an octal number to a hexadecimal number, we first need to convert the octal number to its decimal equivalent and then convert the decimal number to hexadecimal.
The given octal number is \(4137.231_8\). To convert it to decimal, we use the positional notation and multiply each digit by the corresponding power of 8:
\(4137.231_8 = 4 \times 8^3 + 1 \times 8^2 + 3 \times 8^1 + 7 \times 8^0 + 2 \times 8^{-1} + 3 \times 8^{-2} + 1 \times 8^{-3}\)
Simplifying this expression, we get the decimal equivalent as:
\(4137.231_8 = 2223.29375_{10}\)Now, to convert the decimal number to hexadecimal, we divide the integer part and the fractional part separately by 16 repeatedly and obtain the remainder at each step. The remainders are then converted to hexadecimal digits.
Converting \(2223_{10}\) to hexadecimal, we get \(8BF_{16}\).
Converting \(0.29375_{10}\) to hexadecimal, we get \(4B_{16}\).
Combining the two parts, we have:
\(4137.231_8 = 8BF.4B_{16}\)
Therefore, the hexadecimal equivalent of \(4137.231_8\) is 16.

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Answer: "Count 2 and then count 31 more."

Step-by-step explanation:

We have the equation:

231 - 198

Now, the negative number is kinda ugly, so i will write it as:

200 - 2 = 198

Is a lot easier work with 200 and 2, than with 198.

Then the equation is now:

231 - (200 - 2)

And the left number we also have a "200", so it can be written as:

200 + 31 = 231

As this is a sum, we can ignore the parentheses.

200 + 31 - 200 + 2

31 + 2

Then the correct option is:

"Count 2 and then count 31 more."

Based on the information given, it should be noted that the fraction to represent the distance will be 1 3/20 miles.

From the information given, it was stated that Marcy lives 1.15 miles away from her grandmother.

Therefore, the fraction that represents the distance between Marcy's house and her grandmother's will be:

= 1 + 15/100

= 1 + 3/20

= 1 3/20

Therefore, the fraction is 1 3/20.

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The missing part of the equation is \(-7.0\times10^4 s^2kg⋅m^2 / 1000000.\)

To fill in the missing part of the equation, let's analyze the given information and the desired conversion. The equation is:

\((-7.0\times 10^4 s^2g⋅m^2)\cdot \pi = ? s^2kg\cdot m^2\)

In this equation, we have a quantity expressed in\(s^2g\cdot m^2\) units on the left-hand side. To convert it to \(s^2kg\cdot m^2\) units, we need to multiply it by a conversion factor.

To perform the conversion, we can use the fact that 1 kg is equal to 1000 g. Therefore, the conversion factor we need is:

1 kg / 1000 g

To ensure that the units cancel out correctly, we need to square this conversion factor because we have \(s^2g\cdot m^2\) on the left-hand side. So the missing part of the equation is:

\((-7.0\times 10^4 s^2g\cdot m^2)\cdot \pi = (-7.0\times 10^4 s^2g\cdot m^2)\cdot (1 kg / 1000 g)^2\)

Simplifying this expression, we get:

\((-7.0\times10^4 s^2g\cdot m^2)\cdot \pi = -7.0 \times10^4 s^2kg\cdot m^2 / 1000000\)

Therefore, the missing part of the equation is \(-7.0 \times 10^4 s^2kg\cdot m^2 / 1000000.\)

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Answer:I’m trying to find that too

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Use a fraction calculator

Answer:

D is correct ...

nind d d find her r d d d f FBI f

Answer:

the answer is 20

Step-by-step explanation:

because if you add all of it you get 20

Answer:

The length of the arc is approximately 2.0944

Step-by-step explanation:

The given parameters are;

The equation of the circle = x² + y² = 1

The radius of the circle, r = 1

The equation of the line, y = 1/2

Therefore, we point where the line intersects with the circle are given as the points 'y = 1/2' as follows;

When y = 1/2, the equation of the circle becomes;

x² + (1/2)² = 1

x² = 1 - (1/2)² = 3/4

x = ±√3/2

The angle subtended by the arc, θ = 2 × arctan((√3/2)/(1/2)) = 120°

The circumference of the circle, C = 2·π·r

∴ C = 2 × π × 1 = 2·π

The length of the arc, l = (θ/360) × C

∴ l = (120/360) × 2·π = (2/3)·π

The length of the arc, l = (2/3)·π ≈ 2.0944

The length of the arc is approximately 2.09

From the question, we have the following parameters

The equation of the circle = x² + y² = 1

The radius of the circle, r = 1

The equation of the line, y = 1/2

The line intersects with the circle are given as the points 'y = 1/2' as follows;

When y = 1/2, the equation of the circle becomes;

x² + (1/2)² = 1

x² = 1 - (1/2)² = 3/4

x = ±√3/2

Determine the subtended angle

The angle subtended by the arc is expressed as:

θ = 2 × arctan((√3/2)/(1/2))

θ = 120°

The circumference of the circle, C = 2·π·r

C = 2 × π × 1 = 2·π

The length of the arc, l = (θ/360) × C

l = (120/360) × 2·π = (2/3)·π

The length of the arc, l = (2/3)·π ≈ 2.09

The length of the arc is approximately 2.09

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Answer:

It’s 17 units

Step-by-step explanation:

I just did it

Answer:

17

Step-by-step explanation:

i took it

Answer:  105 of them are hummingbirds.

Step-by-step explanation:

I there are a total of 350  birds then 30% o 350 will give the number o hummingbirds.

350 of 30%

350 * 0.3 = 105

3.14

Step-by-step explanation:

The correct answer is (b) all real numbers except odd multiples of π/2. The domain of validity for cscθ (cosecant) is restricted because cosecant is undefined when the sine of an angle is zero.

In the trigonometric identity cscθ = 1/sinθ, the denominator sinθ becomes zero at odd multiples of π/2 (such as π/2, 3π/2, 5π/2, etc.), resulting in a division by zero error. Therefore, the cosecant function is not defined for these values of θ.

For all other real numbers θ, the sine function is non-zero and well-defined, allowing us to calculate the reciprocal of the sine and determine the value of the cosecant. Hence, the domain of validity for cscθ is all real numbers except odd multiples of π/2, as stated in option (b).

It's important to note that in trigonometry, the domain of validity is determined by avoiding any values that would lead to undefined expressions or division by zero errors.

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The domain of validity for csc θ = 1/sin θ is all real numbers except multiples of π, because at these points the sine function equals zero, and division by zero is undefined.

In mathematics, the cosecant function (csc), is defined as the reciprocal of the sine function, or 1/sinθ. The domain of a function are all the possible input values that will yield real numbers (output). For the csc function, its domain includes all real numbers except where the denominator is zero because division by zero is undefined.

In the unit circle context, sine equals zero at 0, π, 2π, ..., and the negative counterparts. Basically, these are the multiples of π. Thus, for the csc function, the domain is all real numbers except multiples of π, which matches option d in your choices.

The domain of validity for csc θ = 1/sin θ is all real numbers except multiples of π.

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Answer:

y = x + 4

...........

Answer:

n = 6

Step-by-step explanation:

4n + 2 = 26,

4n = 24,

n = 6

Answer:

Equation: 4x + 2 = 26

x = 6

Step-by-step explanation:

1. Subtract 2 on both sides...4x + 2 -2 = 26 -2

Now you have 4x = 24

Divide both sides by 4

Now you have 4x/4 = 24/4

the 4's cancel out, leaving you with x = 24/4

24/4 = 6

To determine whether there is enough evidence to reject the null hypothesis, we need to compare the computed test statistic to the critical value.

In this case, the computed test statistic is 2.50 and the critical value is 2.33. If the computed test statistic falls in the rejection region beyond the critical value, we can reject the null hypothesis. Conversely, if the computed test statistic falls within the non-rejection region, we fail to reject the null hypothesis.In this scenario, since the computed test statistic (2.50) is greater than the critical value (2.33), it falls in the rejection region. This means that the observed data is unlikely to occur if the null hypothesis were true.

Therefore, based on the given information, there is enough evidence for the emergency room nurse to reject the null hypothesis. This suggests that there is sufficient evidence to support the claim that the average number of cases of upper respiratory infections per day at the hospital is over 21 cases.

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There is enough evidence to reject the null hypothesis in this case because the computed test statistic (2.50) is higher than the critical value (2.33). This suggests the average number of daily respiratory infections exceeds 21, providing substantial evidence against the null hypothesis.

Yes, there is enough evidence for the emergency room nurse to reject the null hypothesis. The null hypothesis is typically a claim of no difference or no effect. In this case, the null hypothesis would be an average of 21 upper respiratory infections per day. The test statistic computed (2.50) exceeds the critical value (2.33). This suggests that the average daily cases indeed exceed 21, hence providing enough evidence to reject the null hypothesis.

It's crucial to understand that when the test statistic is larger than the critical value, we reject the null hypothesis because the observed sample is inconsistent with the null hypothesis. The statistical test indicated a significant difference, upheld by the test statistic value of 2.50. The significance level (alpha) of 0.05 is a commonly used threshold for significance in scientific studies. In this context, the finding suggests that the increase in respiratory infection cases is statistically significant, and the null hypothesis can be rejected.

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Answer:    164ft

(this is for the extra characters)

Answer:

  (c)  379.2 in²

Step-by-step explanation:

You want to know the total surface area of 6 cylinders of diameter 3.5 inches and height 4 inches.

The area of a cylinder in terms of diameter and height can be found by ...

  A = πd(d/2 +h)

The area of 6 cylinders with d=3.5 and h=4 is ...

  6A = 6π(3.5 in)(3.5 in/2 +4 in) ≈ 379.2 in²

The minimum wrap needed is 379.2 square inches.

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Address is a qualitative variable, which describes the location of a person or object.

It typically refers to the physical address of a place (e.g. street, town, city, state, country), but can also include virtual addresses such as an email address.

Qualitative variables like address cannot be measured numerically, as they are not expressed as numbers, but instead as words or symbols.

Qualitative data can be used to describe the characteristics of an individual or object, and can be used in research to identify patterns or trends in a population.

For example, address data can be used to identify areas of high population density or to analyze the geographic spread of a particular product. Qualitative data is also important for understanding the social and cultural context of a person or object.

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When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.

The T-chart employs positive real numbers since this is the most typical form of exponential function.

Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.

The exponential function can be represented by the following equation:

\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.

When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.

The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.

Therefore, the correct answer is option A.

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