As a contestant on a televised game show, lucy gets to spin the big prize wheel, which has a radius of 2 yards. what is the prize wheel's area?use 3.14 for ​.

Answer:

15

Step-by-step explanation:

10 blocks plus 5 blocks is 15.

Answer:

16.12 units

Step-by-step explanation:

These two points create a right triangle whose diagonal (hypotenuse) represents the desired distance.

Going from B(8, 7) to A(10, -9) involves two steps:  Moving 2 units to the right from B(8, 7) to A(10, -9), and moving 16 steps down from B(8, 7) to A(10, -9).

Thus, the horizontal side of the triangle in question has length 2 units and the vertical side 16 units.

The length of the diagonal (which is the desired distance) is then

|AB| = +√(2^2 + 16^2) = +√(4 + 256) = +√260

To the nearest hundredth, this is |AB| = 16.12 units

The simplified form of trigonometric expression, cosec θ / sin θ + cos θ cot θ is 1.

Given,

The trigonometric expression = cosec θ / sin θ + cos θ cot θ

We have  to simplify this expression.

For that we can use trigonometric identities.

cosec θ = 1 / sin θ

cot θ = cos θ / sin θ

We can substitute the above given identities in the expression.

Then we get,

cosec θ / sin θ + cos θ cot θ = (1 / sin θ) / (sin θ + cos θ x (cos θ/sin θ))

= (1 / sin θ) / ((sin²θ + cos²θ) / sin θ)

Cancel sin θ from both numerator and denominator.

= 1 / sin² θ + cos² θ

We know that sin² θ + cos² θ = 1

So, we get,

1 / sin² θ + cos² θ = 1 / 1 = 1

Therefore, the simplified form of  cosec θ / sin θ + cos θ cot θ is 1.

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Tim could fill the 18-litre bucket in 22.5 times.

To get the number of times he could fill an 18-litre bucket with the sand from the wheelbarrow, we wil set up proportion using the known information.

The amount of sand that can fill a 12-litre bucket is proportional to the number of times it can fill the bucket.

The proportion will be:

12 litres / 15 times = 18 litres / x times

12x = 15 * 18

12x = 270

x = 270 / 12

x = 22.5.

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Answer:

X=-8

Step-by-step explanation:

18+x=10

-18 -18

x=-8

Answer:

To find the last term, divide the coefficient of the middle term by 2 then raise to the power of 2,that will be :

\(( \frac{ - 12}{2} )^{2} = { - 6}^{2} = 36 \)

Answer:

add 36

Step-by-step explanation:

Answer:

(-8,4)

Step-by-step explanation:

-2-4=-6

3-2=1

So, move your x value left 6, and your y value up 1 from (-2,3)

-6-2=-8

3+1=4

So, the answer is (-8,4)

Step-by-step explanation:

The short answer for E[sin(X+Y)] is that it cannot be computed without additional information about the joint distribution of X and Y.

The short answer for E[X*exp(Y)] is that it also cannot be computed without additional information about the joint distribution of X and Y.

thanks, this is a answer (:

Answer:

132

Step-by-step explanation:

The linear equation for the function is f ( x ) = y = ( 2/3 ) x - 3

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation be f ( x ) = y

Now , the value of the function f ( 3 ) is given in the equation as

f ( 3 ) = -1

And the value of the function f ( 6 ) is given in the equation as

f ( 6 ) = 1

So ,

when x = 3 , y = -1

and when x = 6 , y = 1

Now , we have two points A ( x₁ , y₁ ) and B ( x₂ , y₂ )

A ( x₁ , y₁ ) = A ( 3 , -1 )

B ( x₂ , y₂ ) = B ( 6 , 1 )

Now ,

To find the slope of the equation , we use

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values , we get

Slope m = ( 1 - ( -1 ) ) / ( 6 - 3 )

              = 2 / 3

Now , the equation of line will be y - y₁ = m ( x - x₁ ) ,

So , substituting the value of m , we get

y - ( -1 ) = ( 2/3 ) ( x - 3 )

y + 1 = ( 2/3 )x - 2

Subtracting 1 on both sides , we get

y = ( 2/3 )x - 3

Therefore , the equation of line will be y = ( 2/3 )x - 3

Hence , The linear equation for the function is f ( x ) = y = ( 2/3 ) x - 3

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The given information leads to an inconsistent system of equations. There is no value of  that satisfies the given conditions.

We can start by identifying the given information - The parabola has a vertical line of symmetry at x = -3- The parabola goes through the two points (-2, 0) and (4, 0)- The quadratic has two real roots.

Since the parabola has a vertical line of symmetry at x = -3, the x-coordinate of the vertex is -3. The y-coordinate of the vertex can be found by substituting x = -3 into the equation of the parabola.

Now, let's find the equation of the parabola using the given information:
Since the parabola has a vertical line of symmetry at x = -3, the equation of the parabola can be written in the form:
(x - h)² = 4p(y - k),

where (h, k) is the vertex and p is the distance between the vertex and the focus.

Substituting (-2, 0) into the equation, we get:
(-2 + 3)² = 4p(0 - k)
(1)² = -4pk

Substituting (4, 0) into the equation, we get:
(4 + 3)² = 4p(0 - k)
(7)² = -4pk

Now, we can solve the system of equations:
1 = -4pk
49 = -4pk

Dividing the second equation by the first equation, we have:
49/1 = -4pk/-4pk
49 = 1

Since this is not possible, it means that the information given is inconsistent. There is no solution to this problem.

The given information leads to an inconsistent system of equations. Therefore, there is no value of  that satisfies the given conditions.

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The two roots are x = -2 and x = 0. Since the question states that the greater root is -2, the value is -2.

Explanation :

The equation of a parabola with a vertical line of symmetry can be written in the form y = a(x - h)^2 + k, where (h, k) represents the coordinates of the vertex. In this case, the line of symmetry is x = -1. Since the vertex lies on the line of symmetry, the x-coordinate of the vertex is also -1.

We are given that the parabola passes through the points (-2, 0) and (0, 8). By substituting these coordinates into the equation, we can form two equations:

0 = a(-2 - (-1))^2 + k
8 = a(0 - (-1))^2 + k

Simplifying these equations, we get:

0 = a + k
8 = a + k

Combining the equations, we find that a = 4 and k = -4. Therefore, the equation of the parabola is y = 4(x + 1)^2 - 4.

To find the roots, we set y = 0 and solve for x:

0 = 4(x + 1)^2 - 4
4(x + 1)^2 = 4
(x + 1)^2 = 1
x + 1 = ±1
x = -1 ± 1

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Answer:

To solve for x in this equation, you will need to use algebraic techniques such as combining like terms, using the distributive property, and applying the properties of exponents. Here are the steps to solve for x:

Start by isolating x on one side of the equation by moving all the other terms to the other side.

Next, use the properties of exponents to simplify the left side of the equation:

1/2 • 2^3x = 1/2 • 8x = 4x

Next, combine like terms on the right side of the equation: 1/24 - 3x

Now you can set the two sides of the equation equal to each other and solve for x:

4x = 1/24 - 3x

4x + 3x = 1/24

7x = 1/24

x = 1/24 * 1/7

x = 1/168

So the answer for solving the variable is x = 1/168

The circle's circumference is 113.1 inches (rounded to one decimal place).

The formula for the circumference of a circle is:

Circumference = π × diameter

where π (pi) is a mathematical constant approximately equal to 3.14159.

In this case, the diameter of the circle is given as 36 inches. Therefore, the circumference is:

Circumference = π × diameter

Circumference = 3.14159 × 36

Circumference = 113.09724

Rounding to one decimal place, we get:

Circumference ≈ 113.1 inches

Therefore, the circle's circumference is approximately 113.1 inches.

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Answer:

if the first equation 3x - 3y = -2 is multiplication by 3

therefore, 3x - 3y = -2

multiplied by 3

:9x - 9y = -6

then the equations are added,

9x - 9y = -2 + 10x + 710x + 118x + 7

9x + 10x + 710x + 118x + 9y + 7

947x + 9y = 7

Answer:

A. 36 cm

Step-by-step explanation:

Perimeter = SQ + RS + RQ

✔️Find SQ:

SN = SM = 10 cm (tangents drawn from an external point)

QL = QN = 2 cm (tangents drawn from an external point)

SQ = SN + NQ

SQ = 10 + 2 = 12 cm

✔️Find RS:

RS = RM + MS

RM = RL = 8 - 2 = 6 cm

MS = 10 cm (given)

Therefore,

RS = 6 + 10 = 16 cm

✔️RQ = 8 cm (given)

Thus:

Perimeter = SQ + RS + RQ

Perimeter = 12 + 16 + 8 = 36 cm

The best measure of the center for this data is the median, and its value is 6.5.

We must take the data distribution into account in order to get the optimum centre measure for this data. With more data points above 6 and 7 than below, the line plot demonstrates that the data is not symmetrical.

Because it is unaffected by the extreme values in the dataset, the median is the best indicator of the centre in this situation.

The median, which in this example ranges between 6 and 7, is the dataset's middle value when it is ordered in order. Given that there are an equal number of data points, the median is determined by taking the average of the two middle values. This value is 6.5.

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Answer:

49/3 or 16⅓

Step-by-step explanation:

gallons ordered = 62

gallons used = 45⅔

so we have to subtract gallons used from gallons ordered to get our answer.

so,. 62 - 45⅔

=16⅓

hope it helps .

The demand function for good X is Qx = m - 3Px + 2Py, where Qx is the quantity demanded of X, m is income, Px is the price of X, and Py is the price of a related good Y. The equation shows that the demand for X is inversely related to its price and directly related to the price of Y. Income, price of X, and price of Y collectively affect the overall demand for X.


The demand function for good X is given by Qx = m - 3Px + 2Py, where Qx represents the quantity demanded of good X, m is the income, Px is the price of good X, and Py is the price of a related good Y. In this equation, the income and prices are assumed to be positive.

To determine the demand for good X, we can analyze the equation. The coefficient -3 in front of Px indicates that the demand for good X is inversely related to its price. As the price of X increases, the quantity demanded of X decreases, assuming other factors remain constant. On the other hand, the coefficient 2 in front of Py indicates that the demand for good X is directly related to the price of the related good Y. If the price of Y increases, the quantity demanded of X also increases, assuming other factors remain constant.

Furthermore, the term (m - 3Px + 2Py) represents the overall effect of income, price of X, and price of Y on the quantity demanded of X. If income (m) increases, the quantity demanded of X increases. If the price of X (Px) increases, the quantity demanded of X decreases. If the price of Y (Py) increases, the quantity demanded of X increases.

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Answer:

Cylinder Volume   =   π • r² • height

Volume = PI * .210 m^2 * 5

Volume = 0.6927211801 cubic meters

Wood has a mass of 693 / cubic meter

mass = 0.6927211801 * 693 = 480.06 kilograms

Step-by-step explanation:

1. Newmont Mining Corporation is a mining company, but the comparison company has not been specified. Therefore, I am unable to provide specific calculations or comparisons.

2. The three ratios that determine Return on Equity (ROE) can be used to compare and contrast the ROE values of the two companies once the comparison company is selected.

3. The top three risks identified by Newmont Mining Corporation can be found in their 10-K report.

1. Without knowing the specific comparison company within the same industry, I cannot perform calculations or provide a detailed comparison of ratios. Once the comparison company is specified, financial ratios such as liquidity ratios (current ratio, quick ratio), profitability ratios (gross profit margin, net profit margin), and leverage ratios (debt-to-equity ratio, interest coverage ratio) can be calculated for both companies to assess their relative strengths and weaknesses.

2. The three ratios that determine Return on Equity (ROE) are the net profit margin, asset turnover ratio, and financial leverage ratio. These ratios can be used to compare and contrast the ROE values of Newmont Mining Corporation and the selected comparison company. The net profit margin measures the company's profitability, the asset turnover ratio assesses its efficiency in generating sales from assets, and the financial leverage ratio evaluates the extent of debt used to finance assets.  

3. To identify the top three risks identified by Newmont Mining Corporation, one would need to review the company's 10-K report. The 10-K report is an annual filing required by the U.S. Securities and Exchange Commission (SEC) and provides detailed information about a company's operations, financial condition, and risks. Within the 10-K, the "Risk Factors" section typically outlines the significant risks faced by the company. By reviewing this section of Newmont Mining Corporation's 10-K report, the top three risks identified by the company can be identified, providing insights into the challenges and potential vulnerabilities the company faces in its industry.

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The two sitters charge the same amount by 4 days.

Given data;

One home watch provider bills $40 per day. The initial pay for another house sitter is $100 plus $15 per day. Which equation could you use to solve to determine how many days later the two sitters' fees are equal?

To solve this case, assume;

'x' is the days required to get equal charges.

'y' is the final charge.

40 * x = y

100 + (15 * x) = y

From the above equations;

40 * x = 100 + (15 * x)

40 * x - 15 * x = 100

x = 4

Hence, 4 days is the fee charged by the two sitters are the same.

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An inverse relationship can not direct.

We know that an inverse proportion represents inverse or indirect relation between two quantities.

In inverse relationship, one value increases while the other value decreases, and vice versa.

But in case of direct relationship, if one quantity increases , the other quantity also increases, and  if one quantity decreases , the other quantity also decreases.

When two quantities 'm' and 'n' are inversely proportional to each other, it means when the value of m increases while the value of quantity  'n' decreases, and vice versa.

Also, an inverse relationship always has a negative slope.

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Answer:

first one

Step-by-step explanation:

Answer:

1 1/3 items

Step-by-step explanation:

Total number of items = 4 items

Total number of people = 3 people

4 items = 3 people

To know the number of items each person will get, we can write;

x items = 1 person

Divide both expressions

4/x = 3/1

3x = 4

x = 4/3

Express as mixed fraction;

4/3 = 1 1/3

Hence each person will receive 1 1/3 items

The experimental probability of the next contestant qualifying for the bonus round is 1/4 or 25%.

To determine the experimental probability, we need to examine the number of favorable outcomes (contestants qualifying for the bonus round) and the total number of outcomes (contestants in the sample). In this case, out of the last 12 contestants, 3 qualified for the bonus round.

To calculate the experimental probability, we divide the number of favorable outcomes (3) by the total number of outcomes (12):

Experimental Probability = Number of Favorable Outcomes / Total Number of Outcomes

Experimental Probability = 3/12 = 1/4 = 25%

Therefore, based on the available data, the experimental probability suggests that there is a 25% chance that the next contestant will qualify for the bonus round.

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Solution:

The given information would be illustrated with the image below as;

We would apply the tangent ratio. Let x be the distance between the base of cliff and the ship. We have;

Then, we have;

FINAL ANSWER:

Answer:

ll

Step-by-step explanation:

To find the number of digits in 250¹¹×40¹⁹, we need to first calculate the value of this expression and then count the number of digits in the result.

To calculate the value of 250¹¹×40¹⁹, we can use the rule of exponents that says:

Using this rule, we can simplify the expression as:

Now, we need to calculate the number of digits in 2¹⁶ × 5⁵⁰. To do this, we can take the logarithm of this number to the base 10, and then add 1 to the result. The integer part of the logarithm will give us the number of digits in the number.

So, we have:

Using the logarithm rule that says log aⁿ = n log a, we can simplify this expression as:

Using the logarithm rule that says log aⁿ = n log a, we can simplify this expression as:log(2¹⁶ × 5⁵⁰) = 16 log 2 + 50 log 5

Using the logarithm rule that says log aⁿ = n log a, we can simplify this expression as:log(2¹⁶ × 5⁵⁰) = 16 log 2 + 50 log 5Now, we need to evaluate log 2 and log 5. We can use a calculator to get:

Substituting these values, we get:

log(2¹⁶ × 5⁵⁰) ≈ 16 × 0.30103 + 50 × 0.69897

Finally, adding 1 to this result, we get:

number of digits = ⌈log(2¹⁶ × 5⁵⁰)⌉ + 1

We need more information, specifically the median value and the other data points, to calculate the exact number of ants in the ant farm.

To answer your question, let's first break down the given information and terms:
1. The student's ant farm is being included in the data.
2. The median is mentioned but not provided.

The number of ants in the student's ant farm:
Step 1: Determine whether the total number of data points is odd or even.
Since the median changes when the ant farm is included, we can deduce that the total number of data points must be odd.

This is because, if the number of data points was even, adding one more data point (the ant farm) would not change the median significantly.
Step 2: Identify the relationship between the median and the data points.
With an odd number of data points, the median has to be one of the data points.

This is because the median is the middle value when the data points are arranged in ascending order, and with an odd number of points, there must be a single middle value.
Step 3: Determine the number of ants in the student's ant farm.
Since we know that the median has to be one of the data points and it is not given, we cannot directly determine the number of ants in the student's ant farm.

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Answer: B

Step-by-step explanation: