Simplify the expression
​

The expression is (3+4=5) Or (3+4≥5). The expression is false. The expression as (3+4=7) or(3+4>5). The number 7 is true.

Given that,

The expression is (3+4=5) Or (3+4≥5).

We have find the value and the expression is true or false.

The expression is false

3+4=5

7=5

The number 7 is not equal to 5.

Now

3+4≥5

7≥5

The number 7 is not equal to 5 but it is greater then 5.

So, we can write the expression as (3+4=7) or(3+4>5)

Therefore, The number 7 is not equal to 5 or The number 7 is not equal to 5 but it is greater then 5. The expression as (3+4=7) or(3+4>5).

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The way that the sample size would have to change to decrease the length of the confidence interval is to increase from 400 to 1600.

The confidence interval's length is directly proportional to the sample size. The specific relationship between these two factors follows an inverse proportion that correlates to the square root of the sample size.

One could represent this correlation through a proportionality statement: the larger the sample size, the smaller the confidence interval's length becomes.

Given that L1 = 0. 06 and n1 = 400, we want to find n2 such that L 2 = 0. 03:

L1 / L2 = √(n 2 / n 1)

The values would then be:

L1 / L2 = √ ( n2 / n1 )

0.06 / 0.03 = √ ( n2 / 400)

2 = √ (n2 / 400)

2² = ( √ (n2 / 400))²

4 = n2 / 400

n2 = 4 x 400

n2 = 1600

In conclusion, the sample size needs to increase to 1, 600.

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Answer:

0

Step-by-step explanation:

Given

a + 7(a + b) - 8(a + b) + b ← distribute both parenthesis

= a + 7a + 7b - 8a - 8b + b ← collect like terms

= a + 7a - 8a + 7b - 8b + b

= 0

Answer:

0

Step-by-step explanation:

a+7a+7b-8a-8b+b

combining like terms

a+7a-8a+b+7b-8b

8a-8a+8b-8b

0

Answer:256

Step-by-step explanation:

do \(2^{^{4\cdot \:2}}\)

which equals \(2^{8}\)

so your answer would be 256

mark me as brainliest pls :)

Answer:

where is the picture

Step-by-step explanation:

The statements that are true about the functions are:

The leading coefficient is positive.

It has two relative maximums

It has four linear factors.

One of the zeroes is x = 2.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

From the graph,

The graph passes through the following points on the graph.

x = -4

x = -2

x = 2

x = 6

This means the polynomial function is:

P(x) = (x + 4)(x + 2)(x - 2)(x - 6)

If we simplify the polynomial we get,

P(x) = (x² + 2x + 4x + 8) (x² + 6x - 2x + 12)

P(x) = \(x^{4}\) + 6x³ - 2x³ + 12x² + 2x³ + 12x² - 4x² + 24x + 4x³ + 24x² - 8x² + 48x + 8x² + 48x - 16x + 96

P(x) =\(x^{4}\) + 10x³ + 44x² + 104x + 96

The leading coefficient is positive 1 so it is positive.

The constant term is a positive number (96).

The relative maximum is a point on the graph where the function changes from increasing to decreasing.

So,

From the graph, there is only one point.

So only one relative maximum.

The relative minimum is a point on the graph where the function changes from decreasing to increasing.

So,

From the graph, there are two relative maximums.

The function has four linear factors

(x + 4), (x + 2), (x - 2), and (x - 6).

x = -4, x = -2, x = 2, and x = 6

Thus,

The statements that are true about the functions are:

The leading coefficient is positive.

It has two relative maximums

It has four linear factors.

One of the zeroes is x = 2.

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Answer:

To convert the measurements of metric system into another units of metric system we have to either multiply it by 10, 100, 1000, 10000, 100000, etc or divide by 10, 100, 1000, 10000, 100000, etc.

If we have to convert bigger unit into smaller unit then we have to multiply the unit by the multiples of 10, then the decimal point is shifted to right by 1 or 2 or 3 or 4 , etc. places.

For example, 1.2 kg is converted into g so we have to multiply it by 1000, so decimal point is shifted to right by 3 places, i.e.,

1.2 x 1000 = 1200 g

If we have to convert smaller unit into bigger unit then we have to divide the unit by the multiples of 10, then the decimal point is shifted to left by 1 or 2 or 3 or 4 , etc. places.

For example, 12 cm is converted into m so we have to divide it by 100, so decimal point is shifted to left by 2 places, i.e.,

12 / 100 = 0.12 m  

Step-by-step explanation:

The sine function with the values in the table is defined as follows:

y = 5sin(πx/2) - 1.

The standard definition of the sine function is given as follows:

y = Asin(B(x - C)) + D.

For which the parameters are given as follows:

The function has a maximum value of 4 and a minimum value of -6, for a difference of 10 units, hence the amplitude is obtained as follows:

A = [4 - (-6)]/2

A = 10/2

A = 5.

Without vertical shift, a function with amplitude of 2 would oscillate between -5 and 5, while this one oscillates between -6 and 4, hence the vertical shift is given as follows:

D = -1.

The shortest distance between repetitions can be given by 4 - 0, hence the period is of 4 units and the coefficient B is given as follows:

2π/B = 4

B = 2π/4.

B = π/2.

The function is at it's midline at the origin, hence it has no phase shift, and thus the equation is given as follows:

y = 5sin(πx/2) - 1.

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Answer:

equal

Step-by-step explanation:

When a hexagon is rotated 60° counterclockwise, it is carried onto itself.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Rotation is the rotation of a figure about a given point.

The exterior angles of a regular hexagon measures 60 degrees each, hence:

When a hexagon is rotated 60° counterclockwise, it is carried onto itself.

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Answer:

Step-by-step explanation:

The derivative at a point is the slope of the graph at that point.

a = 2

The line is horizontal at x=2, so the slope is zero.

  f'(2) = 0

__

a = 4

The graph at that point is on a linear portion of the curve. The line has a rise of 1 for a run of 2, so the slope is ...

  f'(4) = rise/run = 1/2

__

a = 7

The curve has a maximum at x=7, so the derivative of the function there is zero. (Extrema occur where the derivative is zero.)

  f'(7) = 0

Answer:

1.b (2+x)*(2-x)-4

2.a 3*(x^2-2x+1)=3x^2+3

After considering the following hypothetical survey results of 18- to 34-year-olds in a certain country, in response to the question "Are you currently living with your family?" we get the following probabilities.

a. The joint probability table for the given data is:

             Yes      No      Totals

Men          0.212   0.282   0.494

Women        0.184   0.322   0.506

Totals       0.396   0.604   1

b. The marginal probabilities for living with family and not living with family are:

                 Yes No

Men        0.212 0.282

Women 0.184 0.322

Totals 0.396 0.604

c. The probability of living with family given you are an 18- to 34-year-old man in the U.S. is 0.212/0.396 = 0.5354 or approximately 53.54%.

d. The probability of living with family given you are an 18- to 34-year-old woman in the U.S. is 0.184/0.506 = 0.3636 or approximately 36.36%.

e. The probability of an 18- to 34-year-old in the U.S. living with family is 0.396 or 39.6%.

f. We cannot determine whether the sample is representative solely based on the percentage of males in the survey.

A good representative sample should be randomly selected to accurately reflect the population being studied. The percentage of males in the sample is relevant only if it differs significantly from the percentage of males in the population being studied.

The joint probability table was developed for the survey results of 18- to 34-year-olds on living with family. Marginal probabilities were calculated and the probability of living with the family was found for both men and women. The overall probability of living with the family was also determined. It is unclear if the sample is representative without additional information.

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Answer:

The volume of the cube is 21952.

Step-by-step explanation:

V = L x W x H

because a cube's sides are all the same, the length, width, and height are also the same. So we use the formula:

V= S^3

(S standing for side)

we know the height is 28 and as all sides measure the same we use the equation:

V= 28^3

28^3 = 21952

So, V= 21952

Answer:

She bought 2.5 pounds

Answer:

2.5 lb

Step-by-step explanation:

If Sarah has not made any loss or profit then amount of coffee = total cost/cost per pound 28.75/11.5= 2.5

a) There is not enough information  b) We can conclude that W≻R and W≻G.  c) The probabilities p(G), p(W), and p(R) are the probabilities of getting each drink in the lottery L.  d) The decision would be whether to drink Whisky or Gin.

(a) There is not enough information to determine whether Cohen prefers a glass of Gin to a glass of Whisky because the lotteries L1 and L2 are indifferent. This means that Cohen is equally likely to prefer one lottery to the other. In other words, his utility for Gin is equal to his utility for Whisky.

(b) If we are also told that Cohen prefers Rum to Gin, R≻G, then we can say that he prefers L3 to L1 and L2. This is because L3 has a higher probability of giving him his most preferred drink, Rum, than either L1 or L2. Therefore, we can conclude that W≻R and W≻G.

If G≻R, then we would have L1≻L3 and L2≻L3. This is because L1 and L2 have a higher probability of giving him his most preferred drink, Gin, than L3. However, we know that L3≻L1 and L3≻L2, so this is a contradiction. Therefore, G≻R cannot be true.

(c) A VNM utility function is a function that represents a person's preferences over lotteries. It takes as input a lottery and outputs a real number that represents the person's utility for that lottery. In the case where W≻G, a VNM utility function for Cohen would be of the form:

u(L) = w * p(G) + g * p(W) + r * p(R)

where w is Cohen's utility for Whisky, g is his utility for Gin, and r is his utility for Rum. The probabilities p(G), p(W), and p(R) are the probabilities of getting each drink in the lottery L.

(d) A VNM utility function cannot be used to represent Cohen's preferences because his preferences are not stable. In other words, his preferences change depending on his mood. When he is happy, he prefers Whisky to Gin. But when he is depressed, he prefers Gin to Whisky. This means that his utility for Gin and Whisky cannot be represented by a single number.

To model Cohen's preferences, we would need to use a more complex model that takes into account his mood. One possible model would be a Markov decision process. A Markov decision process is a model that describes how a person's preferences change over time. It takes as input the person's current mood and outputs a decision about what to do.

In the case of Cohen, the decision would be whether to drink Whisky or Gin. The person's mood would be represented by a state variable. The state variable would take on one of two values: happy or depressed. The transition probabilities would describe how likely it is for the person's mood to change from one state to the other. The reward function would describe how much utility the person gets from drinking each drink.

This model would allow us to capture the fact that Cohen's preferences change depending on his mood. It would also allow us to make predictions about how he would behave in different situations.

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The number of children and adults that swam at the public pool is

331 and 23.

An equation is a mathematical statement of two expressions connected by an equal sign.

Example:

2x + 5 = 9 is an equation.

We have,

The total number of people = 354.

Cost for children = $1.50

Cost of adults = $2.25

Total amount = $548.25

Now,

Number of children = x

Number of adults = y

Now,

x + y = 354 _____(1)

x = 354 - y ____(2)

1.50x + 2.25y = 548.25 _____(3)

Putting (2) in (3).

1.50 (354 - y) + 2.25y = 548.25

531 - 1.50y + 2.25y = 548.25

0.75y = 548.25 - 531

0.75y = 17.25

y = 17.25/0.75

y = 23

Now,

x = 354 - y

x = 354 - 23

x = 331

Thus,

The number of children is 331.

The number of adults is 23.

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Answer:

10 donuts for $11.50

Step-by-step explanation:

11.50 divided by 10 = 1.15

That means that for this deal, each donut costs $1.15

15 divided by 12 = 1.25

That means that each donut costs $1.25

$1.15 is less than $1.25, so the answer is 10 donuts for $11.50

Caffeine in this experiment is the independent variable whereas word processing accuracy is the dependent variable.

An indepent variable is the parameter in any experiment which can be manipulated by the experimenter. The dependent variable on the other hand is influnced by the changing independent variable, hence it is dependent on the independent variable.

In this particular experiment caffeine is the independent variable which can be changed by increasing or decreasing its level to see it's effect on the population. Word proccesing accuracy is the dependent variable which can be observed and measured depending upon the changing caffeine levels.

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a. (~P) v Q

b. (~P v Q) → (Q ^ ~R)

c. ((~P v Q) v (R ^ ~R))

d. (~(~Sam v ~Man) ^ ~(Chris v Woman) ^ ~(~Chris v ~Woman))

Negation is a logical operator that is used to form the negation of a statement by reversing the truth value of the statement. Thus, when simplifying a statement, the negation should be placed right before the variables or statements in the statement to form the negated statement. This is done to clearly express the logical relationship between the variables and the negation.

a. ¬P ∨ Q

b. ¬(P ∨ Q) ∨ (Q ∧ R)

c. (¬P ∨ Q) ∨ (¬R ∧ R)

d. ¬(¬Sam ∧ ¬Chris) ∨ (¬Chris ∧ ¬Woman)

For example, in statement a, the negation of the statement is expressed as ¬P ∨ Q, where the negation is placed right before the variable P. Similarly, in statement b, the negation of the statement is expressed as ¬(P ∨ Q) ∨ (Q ∧ R), where the negation is placed right before the statement (P ∨ Q).

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Answer:

0.02

Step-by-step explanation:

7⁴ / 7⁶ = 7⁴⁻⁶ = 7⁻² = 1/7² = 1/49 ≈ 0.02

Answer:

.02

Step-by-step explanation:

7^4 ÷ 7^6

We know that a^b ÷ a^c = a^ ( b-c)

7^4 ÷ 7^6  

7^(4-6)

7^(-2)

We know that a^ -b = 1/a ^b

1 / 7^2

1/49

.020408163

Rounding to 2 decimal places

.02

The area of the region bounded by the negative y-axis and the spiral of archimedes given by r = with 0 ≤ ≤ 2 is 8/5 square units.

To find the area of the region bounded by the negative y-axis and the Spiral of Archimedes given by r = θ with 0 ≤ θ ≤ 2, we'll use double integration in polar coordinates.

The area of a polar region can be found using the formula:

A = ½ ∬(r^2) dA

In this case, r = θ, and we want to integrate over the region in the first and fourth quadrants (since it is bounded by the negative y-axis). We'll integrate θ from 0 to 2 and r from 0 to θ:

A = ½ ∬[(θ^2)] (r dr dθ)

A = ½ ∫(0 to 2) [∫(0 to θ) (θ^2) dr] dθ

First, integrate with respect to r:

A = ½ ∫(0 to 2) [θ^2 * (r^2 / 2)|_(0 to θ)] dθ

A = ½ ∫(0 to 2) [θ^4 / 2] dθ

Next, integrate with respect to θ:

A = ¼ [θ^5 / 5]_(0 to 2)

A = ¼ [(32 / 5) - (0)] = (32 / 20)

The area of the region bounded by the negative y-axis and the Spiral of Archimedes given by r = θ with 0 ≤ θ ≤ 2 is 8/5 square units.

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When a\(_{n}\) = \(2^{n}\)+ n,  a₀ = 1,  a₁ = 3,  a₂ = 6, and a₃ = 11  

When a\(_{n}\) = n^(n+1)!,  a₀ = 0,  a₁ = 2,  a₂ = 2⁶, and a₃ = 3²⁴  

When a\(_{n}\) =  [n/2], a₀ = 0,  a₁ = 1/2,  a₂ = 1, and a₃ = 3/2      

When a\(_{n}\) = [n/2] + [n/2], a₀ = 0,  a₁ = 1,  a₂ = 2, and a₃ = 3/2  

Number sequence

A number sequence is a progression or a list of numbers that are directed by a pattern or rule.

Here,

a₀, a₁, a₂, and a₃ are terms of a sequence

from option a, a\(_{n}\) = \(2^{n}\)+ n

⇒ a₀  = 2⁰+ 0 = 1+0 = 1

⇒ a₁  = 2¹+ 1 = 2+1 = 3

⇒ a₂, = 2²+ 2 = 4+2 = 6

⇒ a₃  = 2³+ 3 = 8 +3 = 11  

from option b, a\(_{n}\) = n^(n+1)!

⇒ a₀  = 0^(0+1)! = 0

⇒ a₁  = 1^(1+1)! = 2² = 2

⇒ a₂, = 2^(2+1)! = 2^(3)! = 2⁶          [ ∵ 3! = 6 ]

⇒ a₃  = 3^(3+1)! = 3^(4)! = 3²⁴         [ ∵ 4! = 24 ]

from option c, a\(_{n}\) =  [n/2]          

⇒ a₀  = [0/2] = 0

⇒ a₁  = [1/2] = 1/2

⇒ a₂, = [2/2] = 1

⇒ a₃  = [3/2] =  3/2  

from option d, a\(_{n}\) = [n/2] + [n/2]

⇒ a₀  =  [0/2] + [0/2] = 0

⇒ a₁  =  [1/2] + [1/2] = 1/2 + 1/2 = 1

⇒ a₂, = [2/2] + [2/2] = 1 + 1 = 2

⇒ a₃  =  [3/2] + [3/2] = 6/4 = 3/2

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The Complete Question is -

What are the terms a₀, a₁, a₂, and a₃ of the sequence {a\(_{n}\)}, where a\(_{n}\) is where a\(_{n}\) equals

a. \(2^{n}\) + n                    b. n^(n+1)!

c. [n/2]                      d. [n/2] + [n/2]

Answer:

it's 563

Step-by-step explanation:

dude you could've used a calculator save those brainly points bro

Answer:

563

Step-by-step explanation:

The total electric force on the 7.00−μC charge is 0.872 N at an angle of 330°.

The force exerted on the 7.00−μC charge by the 2.00−μC charge is

F₁​ ​= \(k_{e}\)q₁q₂​​/r₂ r^

= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(2.00×10^−6C) ×(cos60°i^+sin60°j^​)]/ (0.500m)²

F₁ ​= (0.252i^+0.436j^​)N

Similarly, the force on the 7.00μC charge by the −4.00−μC charge is

F₂​ ​= \(k_{e}\)q₁​q₃/​r² ​​r^

= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(−4.00×10^−6C)​×(cos60°i^−sin60°j^​)]/(0.500m)²

F₂​ ​=(0.503i^−0.872j^​)N

Hence, the total force on the charge 7.00−μC  is

F = F₁​​+F₂​

​=(0.755i^−0.436j^​)N

We can also note the total force as:

F = (0.755N)i^−(0.436N)j^​ = 0.872N

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--This question is incomplete; the complete question is

"Three charged particles are located at the corners of an equilateral triangle, as shown in Figure. Calculate the total electric force on the 7.00−μC charge."--

Answer:

h = 2.5 in

Step-by-step explanation:

v = bwh

20 = 2x4xh

h = 2.5 in

Answer:

A

Explanation:

To determine which sequence of transformation will map figure K onto figure K', we test each of the options using the point (6,5) in Figure K.

Option A

Reflection across x=4, 180° rotation about the origin, and a translation of (x+8,y)

Option B

Reflection across x=4, 180° rotation about the origin, and a translation of (x-8, y)

Option C

Reflection across y=4, 180° rotation about the origin, and a translation of (x+8,y)

Option D

Reflection across y=4, 180° rotation about the origin, and a translation of (x-8,y)

We can see that Option A is the one which maps point (6,5) to (6,-5).

Therefore, it is the sequence of transformations will map figure K onto figure K'.

Answer:

Y=7

Step-by-step explanation:

(X,Y) or (-2,?)

X=-2

4×(-2)-4y=20

-8-4y=20

-4y=20+8 /÷(-4)

Y=7