Prove that if A is a proper nonempty subset of a connected space X, then Bd(A) ≠Φ.

Answer:

10

Step-by-step explanation:

lol XD are you trolling?

The subset of real number that can be used to classify the number 5.33 is irrational number.

We know that 5.33 = 5 + 0.33 contains a decimal part which is 0.33 and 5 which is a whole number part.

Since 0.33 is the irrational or decimal part which makes 5 + 0.33 = 5.33 irrational since a rational number + an irrational number = irrational number.

Since an irrational number is a number which cannot be expressed as a ratio of two integers.

So, 5.33 is an irrational number.

So, the subset of real number that can be used to classify the number 5.33 is irrational number.

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For the given mass of uranium molecule and oxygen molecule, we can conclude that mass of an uranium atom is 7.44 times greater than mass of an oxygen molecule.

The mass of an uranium atom is = 3.95×10⁻²² grams and

The mass of an "oxygen-molecule" is = 5.31×10⁻²³ grams,

To find how many times greater the mass of an uranium atom is than the mass of an oxygen molecule, we divide the mass of the uranium atom by the mass of the oxygen molecule:

On dividing,

We get,

⇒ (3.95×10⁻²²) / (5.31×10⁻²³) ≈ 7.44

Therefore, mass of uranium-atom is 7.44 times than mass of an oxygen-molecule.

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The given question is incomplete, the complete question is

The mass of an uranium atom is 3.95×10⁻²² grams. The mass of an oxygen molecule is 5.31×10⁻²³ grams. How many times greater is the mass of an uranium atom than the mass of an oxygen molecule? Write your answer in standard notation, rounding to the nearest tenth.

The correct option is D: G(x) = -5x².

The equation of G(x) will be -5x² after vertically stretching and flipping.

A function change called a stretch or compression makes a graph bigger or narrower without moving it horizontally or vertically.

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The complete question is -

The graph of F(x) can be stretched vertically and flipped over the x-axis to produce the graph of G(x). If F(x) = x², which of the following could be the equation of G(x)?

A: G(x) = -1/5x²

B: G(x) = 5x²

C: G(x) = 1/5x²

D: G(x) = -5x²

These two lines intercept on a graph on the coordinate X(0, 1) Y(9, 7).

The term "intercept" refers to the location where a line or curve intersects an axis on a graph. An object's x-intercept is defined as where a point crosses the x-axis. The term "y-intercept" refers to a point that crosses the y-axis. The intersection of the x-axis and the y-axis is what is meant by a line's intercept.

step1

y=-2x+9

graph the line using the slope and y intercept or two points

y=-2x+9

X(0,1) Y(9,7)

step2

y=3x-6

slope 3 y intercept (0,-6)

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The next time all three lights will flash at the same time will be in 210 seconds, or 3 minutes and 30 seconds.

To find the time at which all three lights will flash at the same time, we need to find the LCM (Least Common Multiple) of the given times.

Prime factorizing each time, we get:

6 = 2 x 3

15 = 3 x 5

21 = 3 x 7

To find the LCM, we take the highest power of each prime factor that appears in any of the numbers:

2 x 3 x 5 x 7 = 210

Therefore, the next time all three lights will flash at the same time will be in 210 seconds, or 3 minutes and 30 seconds.

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Answer:

AngleAFB

Step-by-step explanation:

We know that vertical angles are angles that opposite each other when two lines intersect. They share a common point or vertex.

In the question, the angle opposite to angle EFD is angle AFB. This is because they share a common vertex.

Since they share a common vertex and are opposite to each other, angle AFB is the angle vertical to angle EFD.

So, the angle vertical to angle EFD is angle AFB.  

Answer:

angle afb

Step-by-step explanation:

took edge test

The circumstance that the score is located 5 points above the mean a central value, relatively close to the mean is when the population standard deviation is much greater than 5.

Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists. The standard deviation indicates a “typical” deviation from the mean. It is a popular measure of variability because it returns to the original units of measure of the data set.

Here, we have

We have to find under what circumstances is a score that is 5 points above the mean considered a central value--meaning it is relatively close to the mean.

We concluded from the above statement that when the population standard deviation is much greater than 5.

Hence, when the population standard deviation is much greater than 5 then, the score that is 5 points above the mean is considered a central value.

Therefore, the correct option is D.

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Answer:

F+95C+32=0 & F−32=95C

Step-by-step explanation:

f=95c+32

Answer:

1st and the last one

Step-by-step explanation:

The rate of change of radius is 2.832 mm per second, when the radius is 6 mm.

A height of cone = 15 mm

An initial radius of cone = 16 mm

The volume of the inverted cone is decreasing at a rate of 534 cubic mm per second, with the height being held constant.

The formula of Volume of cone;

V = 1/3 πr^2h

where, r =  radius of the cone and h = height of the cone

To determine the rate of change of the radius we differentiate the volume with respect to t.

dV/dt = 2/3 πrdr/dt h

Now putting the values

534 = 2/3 × 22/7 × 6 × dr/dt × 15

534 = 3,960/21 × dr/dt

Multiply by 21 on both side, we get

3960 dr/dt = 11,214

Divide by 3960 on both side, we get

dr/dt = 2.832

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Answer:

2,800

Step-by-step explanation:

3·1000=3000

2·100=200

3000-200= 2,800

Answer:

i think 37237

Step-by-step explanation:

x represents the number of tickets of level 1 and y represents the number of tickets of level 2 in the system given that there are 10,000 seats, level 1 tickets are $50 each, and level 2 tickets are $150 each and equation representing the situation:x + y = 10,000, 50x + 150y = 75,000. This can be obtained by understanding the question and observing the equations.

Given that total number of seats is 10,000 and there are two levels pricing.

Thus by observing the equation, x + y = 10,000,

10,000 is the sum of 2 variable which obviously will be the number of tickets in level 1 and number of tickets in level 2.

Since there are two level pricing,

50x + 150y = 75,000 represent the addition of total cost of tickets of level 1 and 2.

Hence x represents the number of tickets of level 1 and y represents the number of tickets of level 2 in the system given that there are 10,000 seats, level 1 tickets are $50 each, and level 2 tickets are $150 each and equation representing the situation:x + y = 10,000, 50x + 150y = 75,000.

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Answer:

Ama practiced for approximately 1 hour 30min

Answer:

3 m^8

Step-by-step explanation:

We know that a^b / a^c = a^( b-c)  so using the quotient rule for exponents

3 * m^( 7 - -1)

3 *m^(8)

Answer:

l = 9 - 4w

Step-by-step explanation:

The equation of the plane passing P(1,2,1) and is orthogonal to the two planes: x-y-z-10 = 0, x-2y + z-2=0 is 3x + 2y + z = 8.

We need a point b and a vector v along the line in order to characterize it. We might alternatively begin with the two points a and b and use the formula v = ab.
A point Q and a vector n perpendicular to the plane are required in order to describe a plane. Later on, we'll look at how to get n from various types of information, such as the positions of three points on a plane.

A plane is a flat, endlessly long, two-dimensional surface. A plane is a point with zero dimensions, a line with one dimension, and space with three dimensions in two dimensions. The picture below that is attached shows the answer.

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Question correction:

Find the equation of the plane passing P(1,2,1) and is orthogonal to the two planes: x-y-z-10 = 0, x-2y + z-2=0

Answer:

p = 0.70z

Step-by-step explanation:

p is the food the penguins eat

z is the food the zebras eat

We are told that:  p < z

Then we are told that:  p = 70% of z

This can be written as p = 0.70z

An alternative way this can be written is:  p/z = 0.70  [The ratio of p to z is 0.7]

The given equation is,

On solving we have,

Solving for x, we get,

The value of `new_list` will be [1, 4, 9, 16].  In the given code, a new list `new_list` is created using a list comprehension.

The list comprehension iterates over each element `i` in the original list `my_list` and computes the square of each element using the expression `i**2`. The resulting squared values are then added to the new list.

Therefore, for each element in `my_list`, the corresponding squared value is appended to `new_list`. Since `my_list` contains the elements [1, 2, 3, 4], the squared values would be [1**2, 2**2, 3**2, 4**2], which simplifies to [1, 4, 9, 16]. Hence, the value of `new_list` is [1, 4, 9, 16].

The correct option is d. [1, 4, 9, 16].

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Answer:

whatever y is, x will equal 5.

Step-by-step explanation:

draw a vertical line at 5 on the x axis

The probability of selecting exactly three clubs from a standard deck is 0.088. Where n = 5; p = 0.25; q = 0.75; and x = 3 . It is calculated by using binomial probability.

The binomial probability formula is

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾ = \(\frac{n!}{(n-x)!x!} p^xq^{(n-x)}\)

Where n is the number of trials, p i is the probability of success, and q is the probability of failure.

And q = 1 - p

It is given that, a card is selected from a standard deck and replaced.

This experiment has repeated a total of five times. i.e., trials n = 5

So, the probability of success is p = 1/4 = 0.25

(Since one card is to be selected from the five trials where each time the card is replaced)

Then, the probability of failure is q = 1 - 0.25 = 0.75

And it is given that we need to find the probability of selecting exactly three clubs. So, the required random variable is x = 3.

Then, using the binomial probability formula, we get

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

⇒ P(X = 3) = ⁵C₃ p³q⁽⁵⁻³⁾ = ⁵C₃(0.25)³(0.75)² = 0.0878

On rounding off, we get the required probability as 0.088.

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Answer:

84cm cubic.

Step-by-step explanation:

That is how it is done.Hope it will help.

Subtracting 2nd equation from the 1st, we get:    3b = -18     b = -6 Putting the value of b in a + b = -14, we get:   a - 6 = -14   a = -8Therefore, the values of a and b are -8 and -6, respectively.So, the required values of a and b are -8 and -6.

Given,  v

= au + bw, where u

= 1, 2 and w

= 1, −1 . v

= -14, -10Let's find a and b.Using the given equation, v

= au + bwPutting the given values of v, w, and u, we get:    -14

= a (1) + b (1)    -10

= a (2) + b (-1)  Simplifying the equation, we get   a + b

= -14     2a - b

= -10 Multiplying equation (1) by 2, we get    2a + 2b

= -28     2a - b

= -10.  Subtracting 2nd equation from the 1st, we get:    3b

= -18     b

= -6 Putting the value of b in a + b

= -14, we get:   a - 6

= -14   a

= -8 Therefore, the values of a and b are -8 and -6, respectively.So, the required values of a and b are -8 and -6.

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Answer:

44 square root or 288 square root

smaller angle^2 + smaller angle^2 = largest angle^2 (the largest angle is the hypotenuse)

it could be 44 because 11 x 11 = 121

165 - 121 = 44 square root

or 121 + 165 = 288 square root

Hope this helps

Step-by-step explanation:

Answer:

44 square root / 288 square root

Step-by-step explanation brainly please

Answer:

A

Step-by-step explanation:

(24/32) * 100% = 75%

x = 1 and x = -7 are the x - intercepts, the vertex is, (-3, -4), and axis of symmetry is x = -3.

What is, axis of symmetry, vertex and x - intercept?

A vertical line that splits the parabola into two equal half is the axis of symmetry. The equation x = - b/2a tells us where the line of symmetry lies. The parabola's vertex, which is a point (x, y), is where it crosses its axis of symmetry.

A line's x-intercept is the location at which the x-axis is crossed.

Consider, the given equation,

\(f(x) = \frac{1}{4}(x - 1)(x + 7)\)

Let,

\(y = \frac{1}{4}(x - 1)(x + 7)\)             ..(1)

To find x - intercept, plug y = 0 in above equation,

\(\frac{1}{4}(x - 1)(x + 7) = 0\\ (x - 1)(x + 7) = 0\\(x - 1) = 0, (x + 7) = 0\\x = 1, x = -7\)

Therefore, x = 1 and x = -7 are the x - intercepts.

Since, the x-coordinate of the vertex is at the midpoint of the x-intercepts.

So,

\(x = \frac{-7+1}{2} = \frac{-6}{2} = -3\)

Plug x = -3 in equation (1)

\(y = \frac{1}{4}(-4)(4) = -4\)

Therefore, the vertex is, (-3, -4).

The x - coordinate of the vertex is the axis of symmetry.

Therefore, axis of symmetry is x = -3.

Hence, x = 1 and x = -7 are the x - intercepts, the vertex is, (-3, -4), and axis of symmetry is x = -3.

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Answer:

Step-by-step explanation:

Given: In triangle ABC, AB = AC and D is the midpoint of BC.

To prove:

i) AD is perpendicular to BC.

We can prove this by using the midpoint theorem, which states that a line segment connecting the midpoints of two sides of a triangle is perpendicular to the third side and half as long as the third side.

Since D is the midpoint of BC, we have BD = DC. Thus, the line segment AD connects the midpoints of sides AB and AC of triangle ABC.

By the midpoint theorem, AD is perpendicular to BC and AD = BC / 2.

ii) AD bisects angle BAC

We can prove this by using the fact that if two line segments are perpendicular and one is an altitude of a triangle, then the two line segments divide the triangle into four smaller triangles that are congruent by SAS congruence.

Since AD is perpendicular to BC, we have two right triangles, ABD and ACD. By the Pythagorean theorem, we have AB = AC, which means that ABD and ACD are congruent by SAS congruence.

Since ABD and ACD are congruent, we have angle BAD = angle CAD. Also, since angle BAC is the sum of angles BAD and CAD, we have angle BAC = 2 * angle BAD.

Therefore, by substitution, we have angle BAC = 2 * angle CAD. This means that angle CAD is half of angle BAC, or in other words, AD bisects angle BAC.

Hence, we have proved that in triangle ABC, AD is perpendicular to BC and AD bisects angle BAC.