Question 9 of 10
Which of the following equations is an example of inverse variation between
the variables x and y?

Y=x/3
Y=3x

Answer:

Yes, it is not a diameter

Step-by-step explanation:

It's going through the circle (sphere) which makes it a diameter

I and D are not going straight through the middle

Answer:

So the values of y at the given values of x are 15, 13,11 and 7

Step-by-step explanation:

The function to use is

y = 19 -2x

now when x = 2

y will be y = 19-2(2) = 19-4 = 15

When x = 3

y = 19-2(3) = 19-6 = 13

when x = 4

y = 19 -2(4) = 19-8 = 11

when x = 6

y = 19-2(6) = 19-12 = 7

The label "yd²" would not be a correct label for volume. Volume is a measurement of three-dimensional space and is typically expressed in cubic units.

The labels "in³" (cubic inches), "cm³" (cubic centimeters), and "ft³" (cubic feet) are all correct units for measuring volume. However, "yd²" (square yards) is a unit used to measure area, not volume.

Square yards (yd²) is a measurement of the two-dimensional area of a surface, such as a square or rectangle. It represents the area of a square with sides measuring one yard each. Since volume refers to the amount of space enclosed by a three-dimensional object, using "yd²" as a label for volume would be incorrect.

To summarize, the label "yd²" would not be a correct label for volume because it represents an area measurement, not a measurement of three-dimensional space.

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The option that cannot have a Poisson distribution is The length of a movie. Thus, the correct answer is A.

The Poisson distribution is a discrete probability distribution that is used to describe the probability of a given number of events occurring in a fixed period of time or space if these events occur with a known constant rate and independently of the time since the last event.

In the case of the length of a movie, it is not a discrete event that can be counted, but rather a continuous measurement, so it cannot be described using the Poisson distribution.

Options b, c, and d are all discrete events that can be counted and therefore can be described using the Poisson distribution.

Thus, the correct answer is A. the length of a movie

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The ordered pair is (-9, -25) and the word statement is if x is equal to -9, then the value of h(x) is -25

From the given table, f(x) = y means that the corresponding value of y given a value x.

For the function h(-9), we need to find the equivalent value of h(x) when x is -9. Hence h(-9) is -25

The ordered pair is (-9, -25) and the word statement is if x is equal to -9, then the value of h(x) is -25

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From the figure given

The point ABC has a coordinate point of (0, 4)

The triangle DEF has a coordinate point of (5, 8)

From the original triangle, there is a dilation by a scale of factor 2 to give a triange DEF

That is (0, 4)

(0 x 2, 4 x 2)

(0, 8)

Followed by a translation of (x + 5, y)

(0 + 5, 8)

(5, 8)

The answer is option B

A statement that creates a list is my_nums= [5,10,15]. This is also known as array.

An array is a grouping of identically typed elements that are stored in adjacent memory locations and may each be separately referred to using an index to a special identifier. There is no need to declare five distinct variables when declaring an array of five integer values (each with its own identifier).

The three types of arrays are index, multidimensional and associative array.

my_nums= [5,10,15] is an array that stores multiples of 5.

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A statement that creates a list is my_nums= [5,10,15]. This is also known as array.

What is an array?

An array is a data structure consisting of a collection of elements (values or variables), each identified by at least one array index or key. An array is a combination of a set of elements which are all of the same data type, organized in a particular way. Arrays are used to store multiple values in a single variable, structure data, and access data more efficiently. Arrays are generally used to represent data in a structured way, and they can be used to perform various mathematical operations and other calculations. Arrays are also useful for sorting and searching data in a predetermined order.

What are three types of array?
The three types of array are index, multidimensional and associative array.
my_nums= [5,10,15] is an array that stores multiples of 5.

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The solutions to the original equation in the interval [0, 2π) are:

θ = 0, π/2, π, 3π/2, π/8, 3π/8.

We have,

Double-angle formula for sine: sin(2θ) = 2 sin(θ) cos(θ)

Double-angle formula for cosine: cos(2θ) = 2cos²(θ) - 1

Let's substitute these double-angle formulas into the equation:

−sin(2θ) − cos(4θ) = 0

−(2 sin(θ)cos(θ)) − (2cos²(2θ) - 1) = 0

2 sin(θ)cos(θ) + 2cos²(2θ) - 1 = 0

And,

cos(4θ) = 2 cos² (2θ) - 1

Now the equation becomes:

2 sin(θ) cos(θ) + cos(4θ) = 0

Now, factor out a common term:

cos(4θ) + 2 sin(θ) cos(θ) = 0

To solve for θ, each term to zero:

cos(4θ) = 0

2 sin(θ) cos(θ) = 0

Solving for θ:

cos(4θ) = 0

4θ = π/2, 3π/2 (adding 2π to get solutions in the interval [0, 2π))

θ = π/8, 3π/8

And,

2 sin(θ) cos(θ) = 0

This equation has two possibilities:

sin(θ) = 0

cos(θ) = 0

For sin(θ) = 0, the solutions are θ = 0, π (within the interval [0, 2π)).

For cos(θ) = 0, the solutions are θ = π/2, 3π/2 (within the interval [0, 2π)).

Thus,

The solutions to the original equation in the interval [0, 2π) are:

θ = 0, π/2, π, 3π/2, π/8, 3π/8.

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Answer:

4 Million Mosquitoes

Have a nice day/night! :D

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula of a distance between two points:

\(A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}}\)

We have:

\(A(-4;\ 9);\ B(5;\ -3)\\\\|AB|=\sqrt{(5-(-4))^2+(-3-9)^2}=\sqrt{9^2+(-12)^2}=\sqrt{81+144}\\\\=\sqrt{225}=15\)

The statement "if f'(x) = g'(x) for 0 < x < 6, then f(x) = g(x) for 0 < x < 6" is false. This statement is False. If f'(x) = g'(x) for 0 < x < 6, it means that the derivatives of both functions are equal on the interval (0, 6).

However, this does not necessarily mean that the functions themselves are equal on that interval.

In other words, there could be a constant difference between f(x) and g(x), which would not affect their derivatives.

To illustrate this, consider the functions f(x) = x^2 and g(x) = x^2 + 1. The derivative of both functions is 2x, which is equal for all values of x.

However, f(x) and g(x) are not equal on the interval (0, 6), as g(x) is always greater than f(x) by 1.

Therefore, the statement "if f'(x) = g'(x) for 0 < x < 6, then f(x) = g(x) for 0 < x < 6" is false.

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The shaded rectangle has a surface area of 14 square units, according to the supplied statement.

Four-sided rectangles have interior angles that are all precisely 90 degrees. The two sides meet at a right angle at every edge or vertex. So its opposite sides are identical lengths, the oblong differs from a square.

The frame's known width is two units, and both the rectangular and the frame have the following dimensions:

width = 6 units

length = 11 units

Now, each measure will drop by 2*2 units, or 4 units, if the frame is removed (because for each measure we have the frame in both sides).

So, the measurements for the rectangle in shading are:

width = 6 units - 4 units = 2 units

length = 11 units - 4 units = 7 units.

And since the ratio of a rectangle's width and length determines its area, we may calculate:

A = (2 units)*(7 units) = 14 square units.

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The complete question is-

One rectangle is "framed" within another. Find the area of the shaded region if the "frame" is 2 unit wide.

6

11

The total number of ways the person can get 66 fours, 55 sixes, and 11 threes when rolling a standard six-sided die 1212 times is approximately 3.69941 × 10²⁶⁸.

To determine the number of ways the person can obtain a specific outcome, we need to use the concept of combinations.

The person rolls the die 1212 times. Out of those rolls, we are interested in the number of ways they can get 66 fours, 55 sixes, and 11 threes.

Let's calculate the number of ways for each case:

1. Number of ways to get 66 fours:

Since there are 6 possible outcomes on each roll of the die, the number of ways to get 66 fours out of 1212 rolls is given by the combination formula:

C(n, r) = n! / (r!(n-r)!)

In this case, n is the total number of rolls (1212) and r is the number of fours (66). So, the number of ways to get 66 fours is:

C(1212, 66) = 1212! / (66!(1212-66)!)

2. Number of ways to get 55 sixes:

Using the same approach, the number of ways to get 55 sixes out of 1212 rolls is:

C(1212, 55) = 1212! / (55!(1212-55)!)

3. Number of ways to get 11 threes:

Similarly, the number of ways to get 11 threes out of 1212 rolls is:

C(1212, 11) = 1212! / (11!(1212-11)!)

To find the total number of ways to obtain the specific outcome, we need to multiply the number of ways for each case:

Total number of ways = C(1212, 66) * C(1212, 55) * C(1212, 11)

Total number of ways ≈ (2.62279 × 10¹²¹) * (1.99129 × 10¹¹⁸) * (7.32245 × 10²⁹)

≈ 3.69941 × 10²⁶⁸

Therefore, the total number of ways the person can get 66 fours, 55 sixes, and 11 threes when rolling a standard six-sided die 1212 times is approximately 3.69941 × 10²⁶⁸.

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Answer:

The slope is 0.5, or 1/2.

Step-by-step explanation:

3x - 6y = 90

-6y = -3x + 90

y = 0.5x + 90

Answer:

117

Step-by-step explanation:

f(x) = 21x + 12

f(5) = 21(5) + 12

f(5) = 105 + 12

f(5) = 117

The solution to the recurrence relation is: aₙ = a(1)ⁿ + b * n * (1)ⁿ

= a + bⁿ

The solution to the recurrence relation with initial condition of a₁ = 2 is: aₙ  = 2

A recurrence relation is defined as an equation that recursively defines a sequence in which the next term is a function of the previous term.

The given recurrence relation is:

aₙ = 2aₙ₋₁ - aₙ₋₂

n ≥ 2

a₀ = a₁ = 2

Rewrite the recurrence relation to get:

aₙ - 2aₙ₋₁ + aₙ₋₂ = 0

Now form the characteristic equation:

x² − 2x + 1 = 0

x = 1

We therefore know that the solution to the recurrence relation will have the form:

aₙ = a(1)ⁿ + b * n * (1)ⁿ

= a + bⁿ

To find a and b , plug in n = 0 and n = 1 to get a system of two equations with two unknowns:

2 = a + b*0

2 = a

2 = a + b*1

2 = a + b

Thus:

a = 2 and b = 0

aₙ  = 2 + 0 * n = 2

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Complete question is:

a) Find all solutions of the recurrence relation aₙ = 2aₙ₋₁ - aₙ₋₂.

b. find the solution of the recurrence relation in part (a) with initial condition a₁ = 2

The rate of the first bus is 15 mph. The solution involves using the formula distance = rate x time for both buses and setting them equal to each other to solve for the unknown rate of the first bus.

Let's assume that the first bus is traveling at a rate of x miles per hour.

We know that the second bus is traveling at a rate of 35 miles per hour.

When they meet, they will have traveled a total distance of 350 miles.

Using the formula distance = rate x time, we can set up the following equation

x(7) + 35(7) = 350

Simplifying this equation

7x + 245 = 350

7x = 105

x = 15

Therefore, the rate of the first bus is 15 miles per hour.

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Answer: 80.6 kg

Step-by-step explanation:

The area of each piece is 66.35.

What is the area of the circle?

The area of a circle is the space encircled or encompassed by its circumference. It has a square unit of measurement. Every geometric shape has a distinct area.

Here, we have

Given: a 26-inch diameter pizza is cut into 8 equal pieces.

we have to find the area of each piece.

A = πr²

We know that the diameter of the pizza is 26 inches, so the radius must be half that value: 13 inches. So:

A = (3.141)(13)²

A = 530.82 inches squared

Now that we know the area, we simply divide it by 8, as there are 8 equal pieces, and so each piece must have an equal area. This gives us:

= 530.82/8

= 66.35

Hence, the area of each piece is 66.35.

Question- A pizza with a 26-inch diameter is cut into 8 equal sizes. Determine the area of one slice.

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Answer:

5x-3x-6=18

2x=18+6

2x=24

x=24÷2

x=12

Jane can select 80 different types of dinner consisting of 3 different items from 5 different vegetarian items and 4 different meat items available.

For finding the various combination of dinners available which has atleast one vegetarian item we will apply combination formula with the given data i.e., \(^{n} C_{r} = \frac{n!}{(n-r)!.r!}\)

A combination is a way of selecting items from a collection where the order of selection does not matter.

We will have to apply the formula separately for vegetarian and meat items.

Combinations available

A. 1 vegetarian item and 2 meat items              

    \(^{5} C_{1} and ^{4} C_{2}\)                                 (In combination "and" means to multiply)                                                                                        

   = \(\frac{5!}{(5-1)!.1!} . \frac{4!}{(4-2)!.2!}\)

   = \(\frac{5!}{(4)!.1!} . \frac{4!}{(2)!.2!}\)

   = \(\frac{5.4.3.2.1}{(4.3.2.1).(1)}. \frac{4.3.2.1}{(2.1).(2.1)}\)

   = 5.3.2

   = 5.6

   = 30

B. 2 vegetarian items and 1 meat item

    \(^{5} C_{2} and ^{4} C_{1}\)

   = \(\frac{5!}{(5-2)!.2!} . \frac{4!}{(4-1)!.1!}\)

   = \(\frac{5!}{(3)!.2!} . \frac{4!}{(3)!.1!}\)

   = \(\frac{5.4.3.2.1}{(3.2.1).(2.1)}. \frac{4.3.2.1}{(3.2.1).(1)}\)

   = 5.2.4

   = 10.4

   = 40

C. 3 vegetarian items and no meat item

   = \(^{5} C_{3} and ^{4} C_{0}\)

   = \(\frac{5!}{(5-3)!.3!} . \frac{4!}{(4-0)!.0!}\)

   = \(\frac{5.4.3.2.1}{(2.1).(3.2.1)}. 1\)

   = 5.2

   = 10

Now, we will add all the different combination

Total combinations = 30+40+10

                                = 80 different type of dinners

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Answer:

i think its most likely gonna be

B, Because its the only one that really makes sense to me

Step-by-step explanation:

Answer:

The answer is 5

Step-by-step explanation:

You can do inverse operation which is Subtraction.

8-3 = 5

Answer:

5

Step-by-step explanation:

if its not that i have no idea what to say

The down payment you need to purchase the house for 185,000 with a 20% down payment is 37,000.

a : a part of a whole expressed in hundredths a high percentage of students attended

b : the result obtained by multiplying a number by a percent the percentage equals the rate times the base 2 a : a

share of winnings or profits

To calculate the down payment needed to purchase a house for 185,000 with a 20% down payment, follow these steps:

Determine the percentage required for the down payment:

20%

Convert the percentage to a decimal by dividing by 100:

20% ÷ 100 = 0.20

Multiply the house price by the decimal:

185,000 x 0.20 = 37,000

The down payment you need to purchase the house for 185,000 with a 20% down payment is 37,000.

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If the standard deviation of sales is equal to some value, we can calculate the variance by squaring the standard deviation.

to answer the question, we need to understand the relationship between standard deviation and variance. the variance is the average of the   square   d differences from the mean, while the standard deviation is the square root of the variance.

in the concert sales dataset (containing sample data), the standard deviation of sales is equal to question 22select one: a. square of the mean sales value b. square of the variance of sales c. square root of the mean of sales d. square root of the variance of sales

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━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

So you already know that 34 is 34 stories in length.

Positive means: up, forward

Negative means: down, backward

Since the elevator is going down 34 stories, it is negative.

An elevator ride down 34 stories can be represented as -34 or negative 34.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

The required  integer is -34.

It is required to find the integer.

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.

Given:

Positive means: up, forward

Negative means: down, backward

Since the elevator is going down, the situation is represented by a negative integer. Since it goes down 34 stories, then it is represented by the integer −34.

Therefore, the required  integer is -34.

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The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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The 99% confidence interval for the mean daily return on this stock is (-2.97, 1.52). The correct answer is Lower limit: - -2.973 - Upper limit: 1.515.

A certain brokerage house wants to estimate the mean daily return on a certain stock.

A random sample of 11 days yields the following return percentages.

-1.36, -2.85, 2.33, 0.46, 0.9, -1.94, -2.19, 1.14, 0.1, -2.2, -1.26.

Confidence level = 99%df

= n - 1

= 11 - 1

= 10α/2

= (1 - confidence level) / 2

= 0.01 / 2

= 0.005

From the t-distribution table with 10 degrees of freedom at α/2 = 0.005, we get t0.005 = 3.169.

Using the formula, the confidence interval is calculated as follows:

CI = X ± t0.005 * s / √n

Here, sample mean X = (-1.36-2.85+2.33+0.46+0.9-1.94-2.19+1.14+0.1-2.2-1.26) / 11

= -0.7290909091

Sample standard deviation s = sqrt([Σ(xi - X)²]/(n - 1))= 1.726805996

Approximately, 99% of the intervals constructed in this manner contain the true population parameter, mean daily return on this stock.

Lower limit: -2.973

Upper limit: 1.515

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