A Circle fits inside a semicircle of radium 28mm

Answer:

28.26 cm²

Step-by-step explanation:

Area of a circle = πr²

         r = diameter/2

         r = 6/2 = 3

A = (3.14)(3)²

A = 28.26 cm²

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129. We can assume a linear growth model on the based of given information.

The given data states that in the year 1985, there were 13 US billionaires. Whereas in 1990, there were 99 US billionaires. We have to find out the formula that predicts the number of US billionaires in any given year (t).

The yearly increase remains constant, so we can consider the formula for the linear function.f(t) = mt + b

where

t is the year and f(t) is the number of US billionaires in that year (t).

m is the slope of the line and b is the y-intercept.

The slope of the line is given by the formula:m = (y₂ - y₁) / (x₂ - x₁)

Let's plug in the given values to find the slope of the line.m = (99 - 13) / (1990 - 1985)m = 86 / 5m = 17.2 .The y-intercept of the line can be found by substituting the values of t and f(t) from any of the given points into the equation of the line.

Let's use the point (1985, 13).f(t) = mt + b => f(1985) =17.2(1985) + b => f(1985) = 34,142 + b =>b = 13 - 34,142 & b = -34,129.

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129

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Answer:

C-$5.00 per ticket

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

$75.00 / 15 = $5

Each ticket costs $5

A p-value is a probability.

A p-value is the probability of obtaining a test statistic as extreme or more extreme.

The observed value, assuming the null hypothesis is true.

It ranges in value from 0 to 1 and represents the strength of evidence against the null hypothesis.

A p-value cannot be negative, as it is a probability and probabilities are always between 0 and 1.

A p-value also cannot be larger than 1, as it represents a probability.

A probability cannot exceed 1.

Finally, a p-value cannot be smaller than 0, as it represents a probability.

A probability cannot be negative.

the correct option is b. is a probability.

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Answer:

food 702, transportation 612, utilities 270, other 216

Step-by-step explanation:

Gender and ethnicity are categorical variables and therefore, the standard deviation cannot be calculated for variables.

The standard deviation is a measure of the spread or dispersion of the data around the mean. In other words, it tells us how far each data point in a set is from the average of the set.

When we analyze data, it's important to understand how much variation there is in the data, and the standard deviation is one way to do this.

When it comes to the three dependent variables in the data set (gender, age, and ethnicity), it is important to understand that the standard deviation is only calculated for numerical data.

However, age is a numerical variable, and the standard deviation can be calculated for it.

To find the standard deviation of the ages, we need to first find the mean of the ages and then subtract each age value from the mean and square the result.

Next, we add up all the squared deviations and divide by the number of ages minus one. Finally, we take the square root of the result, and that gives us the standard deviation of the ages in the data set.

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The area of the region is  rectangles

The given curves are y = x2 and y = 2 − x2. They intersect at x = 1, y = 1. See the graph below. The shaded region enclosed by the curves is the region whose area we wish to find.To find the area of the shaded region,

The left part of the region is the part bounded by the x-axis, the curve y = x2, and the line x = 1. This region is shown below. To find the area of this region, we integrate with respect to y from y = 0 to y = 1. Along the curve y = x2, the values of x are ± y1/2. So we have to integrate from x = −y1/2 to x = 1.

Thus the area of the right part of the region isThus the total area of the shaded region is Approximating rectangle The area of each approximating rectangle is given by height times width. Since we are dividing the region into two parts we

A typical rectangle is shown below. The value of x corresponding to the lower end of the rectangle is x = −y1/2 and the value of x corresponding to the upper end of the rectangle is x = 1. So the height of the rectangle is x2 and the width is Δy = 1/n. Therefore, the area of the rectangle isSince the rectangle is located below the curve, this approximation underestimates the true area of the region.

 Therefore, the area of the rectangle is Since the rectangle is located above the curve, this approximation overestimates the true area of the region. By computing the sum of the areas of all the approximating rectangles and taking the limit as n approaches infinity, we can find the exact area of the region.

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Answer:

A rotation is a transformation that turns a figure about a fixed point called the center of rotation. • An object and its rotation are the same shape and size, but the figures may be turned in different directions. • Rotations may be clockwise or counterclockwise.

Step-by-step explanation:

Answer:it means the movitem of a figure to somewhere else

Step-by-step explanation:

(a) The range of c₁ (the objective coefficient of x₁) for which this BFS remains optimal is c₁ ≤ 2.

(b) The range of b₂ (the right-hand side of the second constraint) for which this BFS remains optimal is 3 ≤ b₂ < 4.

(c) The dual price of the second constraint is 0.

(a) The optimality condition for a linear programming problem requires that the objective coefficient of a non-basic variable (here, x₁) should not increase beyond the dual price of the corresponding constraint. In this case, the dual price of the second constraint is 0, indicating that increasing the coefficient of x₁ will not affect the optimality of the basic feasible solution. Therefore, the range of c₁ for which the BFS remains optimal is c₁ ≤ 2.

(b) The range of b₂ for which the BFS remains optimal is determined by the allowable range of the corresponding dual variable. In this case, the dual price of the second constraint is 0, implying that the dual variable associated with that constraint can vary within any range. As long as 3 ≤ b₂ < 4, the dual variable remains within its allowable range, and thus, the BFS remains optimal.

(c) The dual price of a constraint represents the rate of change in the objective function value per unit change in the right-hand side of the constraint, while keeping all other variables fixed. In this case, the dual price of the second constraint is 0, indicating that the objective function value does not change with variations in the right-hand side of that constraint.

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Answer:

The answer is B.

$25

Recurrence relations for solutions of diophantine equations are equations that can be used to express the solutions for a given diophantine equation in terms of the solutions of the equation for smaller values of the variables. These equations can be used to find a general solution for the diophantine equation by solving a sequence of related equations.

The percent of attendance figures that differs from the mean by 1500 persons or more is 6.68%.

From the question above, Mean μ = 10,000

Standard Deviation σ = 1,000

The formula for z-score is :

z = (x-μ) / σ

Where, x = observation

z = z-score

Mean μ = 10,000

Standard Deviation σ = 1,000

From the above formula, let's calculate z-score for x = 11,500

z = (x-μ) / σ

z = (11,500 - 10,000) / 1000

z = 1.5

Now, find the probability of attendance figures that differs from the mean by 1500 persons or more.

P(z ≥ 1.5) = 0.0668

To find the percentage, we need to multiply the above value by 100.

P(z ≥ 1.5) × 100 = 0.0668 × 100 = 6.68%

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The cost of 3 lessons is $70.

Cost $100 lesson is 4.5.

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

Number of Lessons                  Total Cost ($)

             0                                         10

             2                                         50

             4                                         90

             6                                        130

Let the number of lessons be x,

And the Total cost is y.

We know the equation of the line is y = mx + c

Then slope (m) will be

\(\rm m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m = \dfrac{50-10}{2-0}\\\\m = 20\)

And line is passing through the point (0, 10)

10 = 20(0) + c

 c = 10

Then the line is y = 20x + 10

Cost of 3 lesson will be,

for x = 3,

y = 20(3) + 10

y = 70

Cost of 3 lesson is $70.

For $100 cost lesson will be

y = 100

100 = 20x + 10

90 = 20x

   x = 4.5

For cost $100 lesson is 4.5.

Graph is shown below.

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Answer:

20

Step-by-step explanation:

-4 x -4 = 16

16 + 4 = 20

Hope this helps. Pls give brainliest.

Answer:

The volume of the ellipsoid is 8π.

The equation of the ellipsoid is x^2/4 + y^2/1 + z^2/9 = 1. We can find the volume of the ellipsoid using the formula:

V = (4/3)πabc

where a, b, and c are the semi-axes of the ellipsoid.

To find the semi-axes, we can rewrite the equation of the ellipsoid as:

x^2/1^2 + y^2/2^2 + z^2/3^2 = 1

Comparing this to the standard form of the ellipsoid,

x^2/a^2 + y^2/b^2 + z^2/c^2 = 1

we can see that a = 1, b = 2, and c = 3.

Substituting these values into the formula for the volume, we get:

V = (4/3)π(1)(2)(3) = 8π

Therefore, the volume of the ellipsoid is 8π.

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The given problem statement is not sufficient to form a query but let's form a general SQL query to retrieve data from both tables with the condition (150).

General SQL query to retrieve data from both tables: SELECT *FROM customers, ordersWHERE customers.id = orders.customer_idAND customers.id = 150; Let us assume that there are no customers who have id = 150 in the customer's table and if the customers table contains 20 records and the orders table contains 21 records, the query won't return any records. Therefore, the answer is option (a) 0.Note: It is necessary to have the information related to tables (columns and its values) to solve the SQL query.

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To test the claim that the percentage of readers who own a personal computer is different from the reported we can use a hypothesis test. Let's denote the population proportion as p.

The null hypothesis (H0) assumes that the population proportion is equal to the reported percentage: The alternative hypothesis (Ha) assumes that the population proportion is different from the reported percentage: . In this case, we can use the sample proportion  as an estimate for the population proportion. The test statistic can be calculated using the formula:

Simplifying this expression gives: Therefore, the value of the test statistic is approximately when testing the claim that the percentage of readers who own a personal computer is different from the reported percentage of

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Answer:

3^2

Step-by-step explanation:

3^-4*3^6

3^-4+6

3^2

Answer:

Option C: y=-1/2x + 8

Step-by-step explanation:

So we have the options:

A) y=2x+5

B) y=-1/2x+4

C)y=-1/2x+8

D)y=-2x+5

But first let's define what parallel even is. When two lines are parallel it means that there slope is the same value and the same sign, while there y-intercepts are different, because if they were the same, then they wouldn't be parallel, they would just be the same exact line.

So we're given the equation in standard form. To find the slope we can change it so it's in the form of y=mx+b. This can be done by simply isolating y. The reason we want it in the slope-intercept form is because m represents the slope and b represents the y-intercept. m is the slope because as x increases by 1 the y-value will increase by m. So the "rise" will be m and the "run" will be 1, thus the slope will be m/1 or in other words m because the slope is defined as rise/run. So let's start the steps to isolating y

Original equation

2x+4y=16

Subtract 2x from both sides

4y=-2x+16

Divide both sides by 4

y = -1/2x + 4

Here we have it in slope-intercept form. In this case the slope, or m, is -1/2 and the y-intercept or b is 4. So now let's look at the other equations.

Option A: This equation has a slope of 2, which is not the same as -1/2 so it is not parallel

Option B: This equation has a slope of -1/2 which is the same as -1/2 so it might be parallel. But look at the y-intercept it's 4, that's the same y-intercept as the original equation. This means the two equations are equal and not parallel

Option C: This equation has a slope of -1/2 which is the same as -1/2 so it might be parallel. It has a y-intercept of 8 which is not the same as 4, so the two lines are parallel and not equal! This is the answer

Answer:

an = 99 + a25

=99 + a + 24d

=99 + 3 +24 * 12

= 390

Answer:

34th term

Step-by-step explanation:

the nth term of an AP is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 3 and d = a₂ - a₁ = 14 - 3 = 11 , then

\(a_{n}\) = 3 + 11(n - 1) = 3 + 11n - 11 = 11n - 8

substitute n = 25 into the rule to find a₂₅ , that is

a₂₅ = 11(25) - 8 = 275 - 8 = 267

then 99 more than this is 267 + 99 = 366

equate 11n - 8 to 366 and solve for n

11n - 8 = 366 ( add 8 to both sides )

11n = 374 ( divide both sides by 11 )

n = 34

then the 34th term is 99 more than the 25th term

Answer:

21x+35y

Step-by-step explanation:

7*3x+7*5

21x+35y

Part a: Kinko's income is $280.

Part b: Kinko's optimal consumption will change due to the increased price of leather jackets, but the specific values cannot be determined without further calculations.

To find Kinko's income, we need to determine his budget line based on his current consumption and the price of whips. Kinko is consuming 4 whips and 16 leather jackets, and the price of whips is $6.

The budget line equation is given by: Px * x + Py * y = I, where Px is the price of whips, Py is the price of leather jackets, x is the consumption of whips, y is the consumption of leather jackets, and I is the income.

Since Kinko spends all his money on whips and leather jackets, his income equals the total expenditure on these goods. Thus, the budget line equation becomes: 6x + 16y = I.

We can substitute Kinko's consumption values into the equation: 6 * 4 + 16 * 16 = I.

Simplifying, we have: 24 + 256 = I.

Therefore, Kinko's income is $280.

To visualize this, we can plot Kinko's indifference curves and the budget line on a graph with whips (x) on the horizontal axis and leather jackets (y) on the vertical axis.

The budget line represents all the affordable combinations of whips and leather jackets given Kinko's income and the prices. The indifference curves represent Kinko's preferences, showing the combinations of whips and leather jackets that provide him with the same level of utility.

Part b:

If the price of leather jackets increases by 16 times, the new price of leather jackets becomes $16 * Py = $16 * 1 = $16.

To determine Kinko's optimal consumption, we need to find the new tangency point between an indifference curve and the new budget line. Since Kinko's utility function is non-standard, we need to use calculus to find the optimal consumption bundle.

Using the Lagrange multiplier method, we set up the following optimization problem:

Maximize U(x, y) = min{x½ + y½, x/4 + y}

Subject to the constraint: Px * x + Py * y = I, where Px = $6 and Py = $16.

By solving the optimization problem, we can find the new optimal consumption bundle in terms of whips (x) and leather jackets (y).

However, without the specific values for x and y, it is not possible to provide the exact optimal consumption bundle in one line.

The solution would involve finding the tangency point between the new budget line (with the increased price of leather jackets) and the indifference curves, and determining the corresponding values of x and y.

Therefore, without further information, we can only state that Kinko's optimal consumption will change due to the change in the price of leather jackets, but we cannot provide the specific values without additional calculations.

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Answer:

x - 31  \(\geq\) 69

Tonisha has to make at least $100 in revenue

Step-by-step explanation:

Set up the inequality:

x - 31 represents her profit

Since she wants to make at least $69 a day, use \(\geq\) 69

So, the inequality is x - 31  \(\geq\) 69

Then, solve for x to find how much she has to sell:

x - 31  \(\geq\) 69

x \(\geq\) 100

So, Tonisha has to make at least $100 in revenue

Answer: x = 11

Step-by-step explanation:

2(x+7) = 36

x + 7 = 18 <-- dividing both sides by two

x = 11

There are multiple different paths you can take in order to get this answer, all equally simple. You could open up the bracket, move to one side, and then divide, however if you were to have the answer in the most efficient and least amount of steps I would suggest doing this.

total days = 3+5+2+2 = 12

Sunny days = 3

Divide the sunny days by the total number of days

P = 3/12 = 0.25

The sum of the given algebraic expression is =6g²-9g +4

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.

The given expression is

=3g²-g+(3g²-8g+4)

=3g²-g + 3g² -8g +4

=6g²-9g +4

The sum of the given algebraic expression is =6g²-9g +4

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Answer:

100°

Step-by-step explanation:

55°+25°+third angle=180°(by angle sum property)

80°+third angle=180°

third angle=180°-80°

third angle=100°

Answer:

The measure of the third angle of the triangle would be 100°.

Step-by-step explanation:

25 + 55 + x = 180

80 + x = 180

x = 180 - 80

x = 100

The number of carrots and potatoes that Mark will need for 3 servings will be 6 carrots and 3 potatoes.

It should be noted that an expression is simply used to show the relationship between the variables that are illustrated.

From the information, Mark's soup recipe makes 10 servings and uses 4 carrots and 2 potatoes. Therefore, to make 5 servings, he will need half of the carrots and potatoes. This will be 2 carrots and 1 potatoe.

Therefore, to make 15 servings, the total needed will be;

= (4 + 2 carrots) as (2 + 1 potatoes)

= 6 carrots and 3 potatoes

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