Let Vi = {(x, y, z): 222 + y2 = x2} V2 = {(x,y,z): 2x2 + (y - 2)2 = 0} V3 {(x, y, z): 2.1 + y = 12} be subsets of R3. Which of the following statements is true ? (a). V2 is a subspace of R3 but Vi and V3 are not. (b). Vi is a subspace of R3 but V, and V3 are not. (c). V2 and V3 are subspaces of IR3 but Vi is not. (d). Vi and V3 are subsapaces of R3 but V2 is not. (e). V1, V2 and V3 are not subspaces of IR3.

Answer:

(x-1,y-2)

Step-by-step explanation:

The probability that the average score of the golfers exceeded 62 = 0.0228

Given the mean score of all golfers, μ = 72

and the Standard Deviation, σ = 4

Number of golf players, n = 64

We have to find the probability that the average score of the golfers exceed 73. i.e., x = 73

This follows the Normal Distribution.

Hence the z-score, Z = (x - μ)/(σ/√n)

                                   = (73 - 72)√64/4

                                   = 2

Probability that the average score of the golfers exceeded 73 = P(Z > 2)

                                                                                                        = 0.0228 [from the z-tables]

The question is incomplete. Find the complete question below:

t\The average score of all golfers for a particular course has a mean of 72 and a standard deviation of 4. Suppose 64 golfers played the course today. Find the probability that the average score of the golfers exceeded 73 .

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Answer:

n = 3200

Step-by-step explanation:

200 = 1000 - \(\frac{n}{4}\) ( subtract 1000 from both sides )

- 800 = - \(\frac{n}{4}\) ( multiply both sides by 4 to clear the fraction )

- 3200 = - n ( multiply both sides by - 1 )

n = 3200

The world record for memorizing and reciting the most digits of pi is held by Rajveer Meena from India. He recited 50,000 decimal places of pi in 2020, which is the current recognized world record.

Pi (π) is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is an irrational number, which means it cannot be expressed as a finite decimal or a fraction. The decimal representation of pi is non-repeating and goes on indefinitely without a pattern. The value of pi is approximately 3.14159, but it is commonly approximated as 3.14 for simplicity in mathematical calculations. However, the exact value of pi has been calculated to trillions of digits using various computational methods. The quest to calculate more digits of pi continues to this day, and the computation of pi serves as a benchmark for testing the performance of supercomputers and computational algorithms. The current record for calculating the most digits of pi is trillions of digits, achieved through the use of powerful computers and advanced algorithms.

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Up 8 Units, Hope this helps :)

Answer:

1 degree c

Step-by-step explanation:

Answer: 6 cm

Step-by-step explanation:

Given: The ratio of the areas of two similar  parallelograms is 4:9.

To find : The height of the  bigger one if the smaller is of height 4 cm.

Let h be the height of the  bigger one.

Since the areas of similar figures are proportional to the square of their corresponding sides.

Then, \(\dfrac{4^2}{h^2}=\dfrac{4}{9}\)

\(\dfrac{16}{h^2}=\dfrac{4}{9}\\\\\Rightarrow\ h^2=\dfrac{9}{4}\times16\\\\\Rightarrow\ h^2=36\\\\\Rightarow\ h= 6\ cm\ \ \ \ \text{[ height cannot be negative.]}\)

Hence, the height of bigger parallelogram = 6 cm

Answer:

waldo

Step-by-step explanation:

Answer:

Humans are the real monsters Because they are full of fear and uncertainty

Step-by-step explanation:

Answer:

1) Swap the order of the equation

2)Yes

Step-by-step explanation:

Just did the quiz

To get system B from system A, replace one equation with the sum of the both equations.

The system A is,

                     \(-4x-6y=9\\\\3x+y=-4\)

Adding both equation shown above,

        \(-4x-6y+3x+y=9-4\\\\-x-5y=5\)

The system B is,

                    \(-4x-6y=9\\\\-x-5y=5\)

Thus, To get system B from system A, replace one equation with the sum of the both equations.

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To find the correct form of the partial fraction decomposition for the expression:   \(\(\frac{9x^2 - 8}{(3x^2 - 4)^2}\)\)

We need to factor the denominator and decompose it into partial fractions. Let's factor the denominator first:

\(\(3x^2 - 4 = (3x - 2)(x + 2)\)\)

Now, we can decompose the expression into partial fractions using the following general form:

\(\(\frac{A}{3x - 2} + \frac{B}{x + 2} + \frac{C}{(3x - 2)^2} + \frac{D}{(x + 2)^2}\)\)

To determine the values of A, B, C, and D, we need to find the common denominator and equate the numerators:

\(\(9x^2 - 8 = A(x + 2)(3x - 2) + B(3x - 2)(x + 2) + C(x + 2) + D(3x - 2)\)\)

Now, we can solve for A, B, C, and D by comparing the coefficients of like terms on both sides of the equation.

However, by following the steps outlined above, you can determine the specific values and complete the partial fraction decomposition.

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Answer:

its the first one I think

The true statements are:

From the question,  Imelda got 10 red marbles, shown in the frequency chart. Experimental probability is based on actual results.  Theoretical probability assumes equal chance for each color.  Experimental probability for 2 red marbles is 10, less than theoretical probability (20%). So, statement 1 is true.

The probability of two blue marbles is 2/50 or 4%. Putting the first marble back gives us an independent draws, with no effect on other ones. The experimental probability is based on observed outcomes, and two red marbles' probability would remain the same if the draws are independent. Hence Statement 2 is true.

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See full text below

Level 10

Imelda did a probability experiment with this bag of marbles.

In each trial, she draw one marble, kept it outside the bag, and then drew another marble. She made a frequency chart to show how often she got two marbles that were the same colour.

Result                         Frequency

2 blue                             2

2 red                          10

2 yellow                      3

Different colors    35

Which statements are true? Choose more than one answer.

Select Multiple Answers

The theoretical probability of A getting two red marbles is more' than the experimental probability.

If Imelda changed her experiment by putting the first marble she drew back in the bag for the second draw, the experimental probability of drawing 2 red marbles would stay the same.

If Imelda did 600 trials, she would likely get two blue marbles less than 30 times.

The experimental probability of getting two blue marbles is '2/50' or about 4%.

The theoretical probability of getting two blue marbles is or about 5%.

If Imelda did 500 trials, she would likely get two yellow marbles about 200 times.

The value of the given segments are EC = 6, AC = 12, EB = 4, and BD = 8.

A quadrilateral with opposing sides that are parallel and equal is known as a parallelogram. Due to the opposite sides' alignment and equality, they have equal angles on them. The lines that link the parallelogram's opposing corners are known as its diagonals.

Given that,

EA = 6

For a parallelogram the diagonals of the quadrilateral bisect each other.

Thus,

EC = 6

AC = EA + EC = 6 + 6 = 12

Similarly, ED = 4

EB = 4

and the value of BD = ED + EB = 8

Hence, the value of the given segments are EC = 6, AC = 12, EB = 4, and BD = 8.

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Answer:

d.) 21

Explanation:

Rules:

Solve:

\(\rightarrow \sf \dfrac{4|a|}{2} + |a-3|\)

[insert a = -6]

\(\sf\rightarrow \dfrac{4|-6|}{2} + |-6-3|\)

[simplify the following]

\(\sf\rightarrow \dfrac{4(6)}{2} + 9\)

\(\sf\rightarrow 12 + 9\)

\(\sf\rightarrow 21\)

Answer:

area of polygon = 88 sq. units

Step-by-step explanation:

lets make it simple, short and accurate.

area of polygon = total area - total area of triangles

total area = 11 * 12 = 132

triangle 1 = 1/2 * 5 * 5 = 12.5

triangle 2 = 1/2 * 3 * 6 = 9

triangle 3 = 1/2 * 3 * 8 = 12

triangle 4 = 1/2 * 3 * 7 = 10.5

total area of triangle = 12.5 + 9 + 12 + 10.5 = 44

area of polygon = 132 - 44 = 88 sq. units

Answer:

The area of the irregular polygon:

88 units²

Step-by-step explanation:

The irregular polygon is insert in a rectangle

The strategy is:

1 - calculate the rectangle total area

2- calculate the area of each right triangle

3.- substracte the total area of the 4 right triangles from the area of the rectángule

then:

1.-

Ar = 12*11 = 132 units²

Ar = rectangle area

2.-

At₁ = (5*5)/2 = 25/2 = 12.5 units²

At₂ = (6*3)/2 = 18/2 = 9 units²

At₃ = (7*3)/2 = 21/2 = 10.5 units²

At₄ = (8*3)/2 = 24/2 = 12 units²

At total = 12.5 + 9 + 10.5 + 12 = 44 units²

At = right triangle areas

3.-

Ap = 132 - 44 = 88 units²

The linear equation is y = 6x + 5

A statement that shows the equality of two mathematical expressions is known as an equation. The goal is typically to ascertain the values of the variables that keep the equation true, and it may have one or more variables. In that both sides must be equal for an equation to hold true, it might be likened to a balance scale.

To find the equation for the pricing formula, we can use the slope-intercept form of a linear equation:

y = mx + b

where y is the cost, x is the number of gallons, m is the slope (i.e., the rate of change of the cost per gallon), and b is the y-intercept (i.e., the cost when x = 0).

Using the given information, we can calculate the slope:

m = (35 - 11) / (5 - 1) = 24 / 4 = 6

The y-intercept can be found by plugging in one of the points:

11 = 6(1) + b

b = 5

Therefore, the linear equation for the pricing formula for Logan's Paint is:

y = 6x + 5

where y is the cost in dollars and x is the number of gallons.

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Lower class limits are 15, 25, 35, 45, 55, 65, 75, Upper class limits are 24, 34, 44, 54, 64, 74, 84, Class width are 10 (all classes have a width of 10), Class midpoints are 19.5, 29.5, 39.5, 49.5, 59.5, 69.5, 79.5, Class boundaries are [15, 25), [25, 35), [35, 44), [45, 54), [55, 64), [65, 74), [75, 84) and Number of individuals included in the summary is 76.

Here are the details for the given frequency distribution:

Lower class limits are the least number among the pair

Here, Lower class limits are 15, 25, 35, 45, 55, 65, 75 respectively.

Upper class limits are the greater number among the pair

Here, upper limit class are 24, 34, 44, 54, 64, 74, 84 respectively.

Class width is the difference between the Lower class limits and Upper class limits which is 10 (all classes have a width of 10).

Class midpoints is the middle point of the lower class limits and Upper class limits which is 19.5, 29.5, 39.5, 49.5, 59.5, 69.5, 79.5 respectively.

Class boundaries are the extreme points of the classes which are  [15, 25), [25, 35), [35, 44), [45, 54), [55, 64), [65, 74), [75, 84) respectively.

Number of individuals = 27 + 33 + 14 + 4 + 6 + 1 + 1

                                     = 76

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Answer:Euclid

Step-by-step explanation:

Euclid was an ancient Greek mathematician in Alexandria, Egypt. Due to his groundbreaking work in math, he is often referred to as the 'Father of Geometry'. Euclid's most well-known collection of works, called Elements, outlines some of the most fundamental principles of geometry.

Answer:

Euclid  

I hope this helps you!

To determine whether the vector field F = (cos z, 2y^9, -x sin θ + c) is conservative, we can check if it satisfies the condition of having a curl of zero.

The curl of F is given by:

∇ × F = (∂Fz/∂y - ∂Fy/∂z, ∂Fx/∂z - ∂Fz/∂x, ∂Fy/∂x - ∂Fx/∂y)

Calculating the partial derivatives, we have:

∇ × F = (∂(cos z)/∂y - ∂(2y^9)/∂z, ∂(cos z)/∂z - ∂(-x sin θ + c)/∂x, ∂(2y^9)/∂x - ∂(cos z)/∂y)

Simplifying further:

∇ × F = (0 - 0, 0 - (-sin θ), 0 - 0)

      = (0, sin θ, 0)

The curl of F is not zero; specifically, it has a non-zero component in the y-direction (sin θ).

Therefore, the vector field F = (cos z, 2y^9, -x sin θ + c) is not conservative because its curl is non-zero.

Since F is not conservative, it does not have a general potential function.

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Answer:

105 = (5x-70)

Step-by-step explanation:

You are trying to find x so you would have to place that in to finally get to the end where x = 5

Answer:

Step-by-step explanation:

You want to know how to determine the y-intercepts of a rational function, and their possible number.

A rational function f(x) is the ratio of two polynomial functions p(x) and q(x):

  f(x) = p(x)/q(x)

As such, both numerator and denominator have single function values for any value of the independent variable. The y-intercept of f(x) is ...

  f(0) = p(0)/q(0)

The values of p(0) and q(0) are simply the constant terms in those respective functions.

The simple way to find the y-intercept is to look at the ratio of the constant terms in the polynomial functions making up the rational function. If that is defined, there is one y-intercept. If it is undefined (q(0)=0), then there are no y-intercepts.

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Answer: 17/25 pizza per each family member.

The correct option is for the value of c,  such that f(c) is the average value of the function on the interval [0, 2], is D.

The average value of a function on an interval [a, b] is given by:

R = (f(b) - f(a))/(b - a)

Here the interval is [0, 2], then:

f(2) = √(2 + 2) = 2

f(0) = √(0 + 2) = √2

Then here we need to solve the equation:

√(c + 2) = (f(2) - f(0))/(2 - 0)

√(c + 2) = (2 + √2)/2

Solving this for c, we will get:

c = [ (2 + √2)/2]² - 2

c = 0.9

Them tjhe correct option is D.

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Answer:

A. Cylinder, Shpere, Cone

Step-by-step explanation:

a cylander can be made by rotating a square.

for a sphere, a semi-circle.

for a cone, a right triangle.

hope this helped you

The Choice C is the best answer. In lines 10-17, the passage illustrates how the cost of solar energy has dropped in recent years. researchers at the National Renewable Energy Laboratory have made flexible solar cells on a new type of glass from Corning called Willow Glass, which is thin and can be rolled up.” Overall, the passage can be regarded as an objective overview of the solar panel industry delivered by a journalist covering the field.

According to the statement

we have to find the correct statement with the help of the given passage.

So, For this purpose, we know that the

In the given passage, the point of view according to the given options is discussed below.

The Choices A and D are incorrect because the author does not present himself as either a consumer who plans to buy solar panels or a hobbyist with a personal interest in solar panel technology. Rather, the author focuses on developments in solar technology. Choice B is incorrect because the passage does not discuss research methods used in the solar panel field but rather the technologies that exist in the field.

So, The Choice C is the best answer. In lines 10-17, the passage illustrates how the cost of solar energy has dropped in recent years. researchers at the National Renewable Energy Laboratory have made flexible solar cells on a new type of glass from Corning called Willow Glass, which is thin and can be rolled up.” Overall, the passage can be regarded as an objective overview of the solar panel industry delivered by a journalist covering the field.

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Answer:

a

Step-by-step explanation:

Answer:

a is the answer hopw this helps