which compact sets does there exist a number m such taht every open cover contains a finite subcover of m elemens

On solving the provided question, we can say that random sample the conditions for interference are met.

selected at random (purely random, unpredictable). Every member of the population being polled ought to have an equal probability of getting chosen. She randomly selected 25 names from a pool of 250 employees as an example of a simple random sample. Since there are 250 of her employees in total, and each one has an equal probability of being chosen, the sample in this instance is random. Using simple random sampling, which is a form of probability sampling, researchers choose individuals at random from a population. There is an equal opportunity for selection for every person in the population.

Yes, the conditions for interference are met.

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The product of radical 5 and 10 radical 30 in simplest radical form is 50√6

An expression is combination of variables, numbers and operators.

We need to find the product of radical 5 and 10 radical 30 in simplest radical form

It can be written as √5×10√30

√a.√b=√ab

√5×10√30

10√5×30

10√150

10√25×6

10.5√6

50√6

Hence, the product of radical 5 and 10 radical 30 in simplest radical form is 50√6

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Answer:

What the other dude said:

The product of radical 5 and 10 radical 30 in simplest radical form is 50√6

Step-by-step explanation:

There are six characteristics of an absolute value graph.

An absolute value function is a function of the form f(x) = |x|. The graph of an absolute value function has the following characteristics:

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3/8 is already in its simplest form as a fraction. The numerator, 3, and denominator, 8, have no common factors other than 1. To simplify a fraction to its simplest form, you divide both the numerator and denominator by their greatest common factor (GCF). In this case, the GCF of 3 and 8 is 1, so there's no need to simplify further. Therefore 3/8 is already in its simplest form.

Answer:

3/8 is already in its simplest for as both numerator n denominator does not have any common factor

Answer:

by 5

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

By similarity theorem The three similar triangles are △CLB~△LUB~△CUL

(B) The proportions in corresponding parts of similar are in △CLB~△LUB: CL/LU=LB/UB=CB/LB and in △CLB~△CUL:CL/CU=LB/UL=CB/CL

Triangle similarity in Euclidean geometry. According to the fundamental theorem of similarity, a line segment can divide two triangle sides into proportionate segments if and only if it is parallel to the third side of the triangle.

In the given figure, △ADE~△ABC.

1. ∠D≅∠B

2. DE II BC converse of basic proportionality

3. ∠E ≅ ∠C corresponding angle are congruent

4. ∠DAE≅∠BAC reflexive property

5. △ADE ≅△ABC (AAA similarity theorem)

The three similar triangles are-

△CLB~△LUB~△CUL

The proportions that exist among corresponding parts of similar

→ In △CLB~△LUB

CL/LU=LB/UB=CB/LB

→ In △CLB~△CUL

CL/CU=LB/UL=CB/CL

→ In △LUB~△CUL

LU/CU=UB/UL=LB/CL

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The difference between the best and worst credit score interest rates would be = 6.24%

An interest rate is defined as the particular amount of money an individual receives for a period of time due to an investment made.

The difference between the best and the worst credit score interest rates would be to substrate the best score from the worst score.

The best interest rate score = 3.65

The worst interest rate score = 9.89

Therefore the difference = 9.89 - 3.65 = 6.24 %

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The slope of the line in 1. is -3/4 and the slope of 2. is 9/10.

Understanding what slope is is among the most crucial things to know about lines. The line's slope, also referred to as rise over run, is how "steep" it is. By dividing the difference between the y-values at two points by the difference between the x-values, we can determine slope. Understanding how to interpret graphs and create equations is necessary in order to comprehend the significance of the definition of slope.

The slope of the line = m in y = mx + b

−3x−4y=6

4y = -3x -6

y = (-3x -6)/4

y = -3x/4 -6/4

y = -3/4(x) -3/2

2. Slope formula = y₂ - y₁ = m(x₂ -x₁)

points (6, -1) and (-4, -10)

Substitute

-10 -(-1)= m(-4 -6)

m = 9/10

Thus, the slope of the line in 1. is -3/4 and the slope of 2. is 9/10.

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​

Answer:

right angle

Step-by-step explanation:

Answer:

its 34

Step-by-step explanation:

Did it yesterday and got it right.

3 hours, but must submit the exam no later than the closing time.

The browser displays a notification banner for tests that have a due date to inform students when the test will be marked as incomplete (30 minutes prior, 5 minutes prior, and 1 minute prior).

The browser displays a notification banner for quizzes that are about to auto-submit (using an Until date or the natural course finish date) to inform students of this (30 minutes prior, 5 minutes prior, 1 minute prior, and 10 seconds prior).3 hours, but must submit the exam no later than the closing time.

If students are unable to finish a timed quiz in the full permitted time, the browser will display a notification banner.

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Answer:

[tex]\sqrt{\sqrt{2} }[/tex]

Step-by-step explanation:

f(1)=3; f(1)=f(0)^2+1
f(0)=[tex]\sqrt{2}[/tex]=f(3)^2+0; f(3)^2=sqrt*2; f(3)=sqrt*sqrt2

height = 14.5 ft and width = length = 3.2 ft  in a box with the largest possible volume

Let the side of the square base is a and the height of the box is h.

The material required to make the box is equal to the total surface area of the box.

Area of base = a²

Cost of square base is $ 2 per ft²

So, the cost of making base = 2a²

Area of four walls + area of top = 2 (a² + ah + ah) + a² =  3a² + 2ah

Cost of making walls and the top is $ 1 per ft²

So, the cost of making walls and the top = 1 x ( 3a² + 2ah)

Total cost of making the box = 2a² + 3a² + 2ah = 5a² + 2ah

According to the question

144 = 5a² + 2ah

    .... (1)

The volume of the box is V = length x width x height

V = a x a x h

V = 72 a - 2.5 a³     from equation (1)

Differentiate both sides with respect to a.

dV/da = 72 - 7.5 a²

Put, it equal to zero for maxima and minima

7.5 a² = 72

a = 3.2 ft

Put in equation (1)

h = 14.5 ft

So, the dimensions of the box are

height = 14.5 ft

width = length = 3.2 ft

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.

Greetings!!

Lool at the attachment

Hope it helps.

If you have any query, feel free to ask.

Answer:

can see the y = x + 2 line, and the shaded area is where y is less than or equal to x + 2

Linear Inequality

A Linear Inequality is like a Linear Equation (such as y = 2x+1) ...

... but it will have an Inequality like <, >, ≤, or ≥ instead of an =.

Answer: 20 liters

Step-by-step explanation:

Let the number of liters of 15% alcohol solution be [tex]x[/tex].

[tex]0.15x+30(0.4)=0.3(x+30)\\\\0.15x+12=0.3x+9\\\\12=0.15x+9\\\\0.15x=3\\\\x=20[/tex]

The total price of the first invoice that activates the chain discount is $624.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

A manufacturer offers a 25/20 chain discount if the invoice subtotal is above $1,000.

If the list price is $52 per item.

now, to get the discount he must buy at least = 1000/52=  20 items

= 20 x $52

= $1040

Thus, (1040) (1-25%)(1- 20%)

= 1040 x 0.75 x 0.80

= 624

Hence, the total price is $624.

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By applying independent and disjoint events theory, it can be concluded that A and B are neither disjoint nor independent (option D).

In probability, based on the occurrences, there are two types of events: independent and disjoint events.

Now we observe the data given:

p(a) = 0.3

p(b) = 0.2

p(a and b) = 0.4.

First, we check the independence. Here p(a and b) = 0.4. Whereas, if a and b are independent events, then:

p(a and b) = p(a) * p(b)

                = 0.3 * 0.2

                = 0.06

Since the value is different, we can conclude that events A and B are not independent.

Second, we check whether these events are disjoint events. Since the value of p(a and b) is not 0, these events are disjoint events.

Therefore, we can conclude that a and b are neither disjoint nor independent (option D)

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The graph is a right line that intercepts the y-axis at - 6 and the x-axis at x = 2, excluding x = -2. That is the second graph of the second picture gives the graph of the function.

The point at which a graph crosses the y-axis is known as the y-intercept. It is, in other words, the value of y when "(x=0)" occurs. Using the slope and a specified location, determine the y-intercept of a linear function.

Determine the graph's gradient and a point first. Enter a linear equation in slope-intercept form (y = mx + b) once this is finished. Rewrite the equation using the supplied point (x, y) and slope (m), inserting the correct values for x, y, and m.

The function is:

f(x) = (9x^2 - 36)/3x + 6

Simplify that function to a linear function for all x for which 3x + 6 ≠ 0

3x = - 6

x = -2

So, for x ≠ - 2, you can do:

f(x) = (9x^2 - 36) /   3x + 6

f(x) = 9(x^2 - 4) /   3x + 6

f(x) = 3(x + 2)(x - 2) / x+2

f(x) = 3(x - 2) = 3x - 6

Hence, the graph is a right line that intercepts the y-axis at - 6 and the x-axis at x = 2, excluding x = -2. That is the second graph of the second picture.

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The dimensions that will admit the most light are, the breadth of the rectangular window is  [tex]2b = \frac{20+10\pi }{4+3\pi }[/tex], the length of the window is [tex]2l = \frac{40}{4+3\pi }[/tex] and the radius of the semicircular arc is  [tex]l= \frac{20}{4+3\pi }[/tex].

In the given question,

Let the length and breadth of the rectangular part of the window be 2l and 2b respectively. So the radius of the semicircular arc will be l.

The total perimeter of the window will be 1 length of the rectangle, 2 breadths of the rectangle, and the length of the semicircular arc.

l+2b+πl = 10

(1+π)l+2b = 10

[tex]b = \frac{1}{2} [10-(1+\pi )l][/tex]

To admit maximum light through the window implies that the area of the window is maximized.

The area of the window will be:

[tex]A = (2l)(2b)+\frac{\pi l^{2} }{2}[/tex]

[tex]= 4lb+\frac{\pi l^{2} }{2} \\= 2l[10-(1+\pi )l] +\frac{1}{2} \pi l^{2}[/tex]

[tex]= 20l-2l^{2} -2\pi l^{2} +\frac{1}{2} \pi l^{2}[/tex]

[tex]= 20l-2l^{2} - \frac{3}{2} \pi l^{2}[/tex]

For the area to be maximum,

[tex]\frac{dA}{dl} =0\\20 -4l -3\pi l = 0\\l= \frac{20}{4+3\pi }[/tex]

[tex]b = \frac{1}{2} [10-(1+\pi )\frac{20}{4+3\pi }\\b = \frac{10+5\pi }{4+3\pi }[/tex]

Therefore, the breadth of the rectangular window is [tex]2b = \frac{20+10\pi }{4+3\pi }[/tex], the length of the window is [tex]2l = \frac{40}{4+3\pi }[/tex] and the radius of the semicircular arc is [tex]l= \frac{20}{4+3\pi }[/tex].

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(-2/3)^4 evaluates to (1/81) or 0.012345679012345678.

The probability to find the spin projection along the x-axis to be 1 is 0.5. The operator corresponding to the spin projection along the x-axis is X, and the expectation value of X in this state is 0.

This result is a consequence of the fact that operator X is a Hermitian operator, which means that its eigenvalues are real. The eigenvalues of X are ±1, so the probability of measuring a spin projection of 1 is ½. This is because the eigenstate corresponding to the eigenvalue 1 is |+⟩, which is a superposition of |0⟩ and |1⟩.

Similarly, the eigenstate corresponding to the eigenvalue -1 is |-⟩, which is also a superposition of |0⟩ and |1⟩. Thus, the qubit is equally likely to be found in either the |+⟩ or the |-⟩ state, and so the probability of measuring a spin projection of 1 is 0.5.

In summary, since the qubit is in a superposition of the two computational basis states, the expectation value of any Hermitian operator is 0, and the probability of measuring a spin projection of 1 is 0.5.

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The hornets scored 70 points if they scored 5:2 when their opponents scored 28 points.

Therefore the answer is 70.

If the Roswell hornets outscored their opponents 5:2, this means that for every 5 points the hornets scored, their opponents scored 2 points.

If we know that the opponents scored 28 points, we can use this information to find out how many points the hornets scored.

We can set up the equation:

x/28 = 5/2

Where x is the number of points the hornets scored.

On solving the equation we get:

x = (5 × 28)/2

x = 5 × 14

x = 70

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Answer:Three functions that are bounded above are y = x^2, y = x^3, y = e^x.

y = x^2 is a parabola that opens upward and has a vertex at the origin (0,0). As x increases or decreases, y will always be positive and increases or decreases accordingly, so the function is bounded above by positive infinity.

y = x^3 is a cubic function that also opens upward. As x increases or decreases, y will always be positive and increases or decreases accordingly, so the function is bounded above by positive infinity.

y = e^x is the exponential function where e is Euler's number (approximately 2.718). As x increases, y will increase towards positive infinity, so the function is bounded above by positive infinity.

Step-by-step explanation:

The length of the other two sides are 16 and 30.

What is right-angle triangle ?

A right triangle is a triangle with one angle at a right angle, meaning that two of its sides are perpendicular. It is also known as a right-angled triangle, an orthogonal triangle, or more commonly as a rectangled triangle. Trigonometry's foundation is the right triangle's relationship between its sides and other angles.

If one of the triangle's angles is 90 degrees, the triangle is said to be right-angled. 90 degrees is the sum of the other two angles. Perpendicular and the triangle's base make up the sides that the right angle is formed from. The hypotenuse, or third side, is the longest of the three. It is also known as the hypotenuse.

let one angle be x

the other angle be 46-x

as the sum of the angles is 46

x² + (46-x)² = 34²

2x² - 92x + 46² - 34² = 0

x² - 46x + 480 = 0

x² - 16x - 30x + 480 = 0

x(x-16) - 30 (x - 16) = 0

(x-30)(x-16) = 0

x = 30 or x = 16

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Answer (vertex form): y=4(x+2)^2 - 11

Answer (standard form): y=4x^2 + 16x + 5

Answer: -3.5 is the reciprocal

Answer:

= 7/-2

= -7/2

Step-by-step explanation:

The reciprocal number results from dividing the number 1 ny the original number, in this case:

original number = -2/7

reciprocal  number = 1 / (-2/7) = (1*7)/-2 = 7/-2 = -7/2

The required value of the expression 2c - a is 1.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

It's possible to multiply, divide, add, or subtract with this mathematical operation.

An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division, etc.)

So, we have:

x²+3x-28

x²+7x-4x-28     [28=7×2×2, 7-(2×2)=7-4=3]

x(x+7)-4(x+7)

(x+7)(x-4)$

In light of the fact that x2+3x-28 can be expressed as (x+a)(x-b).

in order to compare (x+7)(x-4) and (x+a)(x-b).

As a result, a = 7 and b = 4.

Similarly,

x²-10x-56$

x²-14x+4x-56       [ 56= 7×2×2×2, - (7×2)+(2×2) = -14+4=10]

x(x-14)+4(x-14)

(x-14)(x+4)

Given that (x+2b)(x+c) can be used to represent x2-10x-56.

Consequently, compare (x-14)(x+4)and (x+2b)(x+c).

Now,  c=4    [∵c>0].

Then,

2c-a

(2×4)-7

8-7

1

Therefore, the required value of the expression 2c - a is 1.

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Answer:

a

Step-by-step explanation:

i just took it