If g(x) = 1/2x + 9, what is (g) 6

Answer:

------------------------

After 3 half-lives the remaining amount becomes:

Convert 1/8 to percent:

Answer:

A

Step-by-step explanation:

d(t)=3t+1 but d(t)=7

distance*time=3*time+1

so d(t)=7 is the same as

d(t)=3(2)+1

meaning that you hiked for 2 hours.

A. Scheme (i) is easier to crack compared to scheme (ii).

B. If scheme (i) is used, a 10-char password may be less secure than a 7-char password because it provides the attacker with more information to work with.

A. Scheme (i) is easier to crack compared to scheme (ii) as the attacker can perform a dictionary attack on each half of the password independently. Since there are only 32 possibilities for each character, the total number of possible 7-char passwords is 32⁷. Therefore, an attacker would need to perform 2*(32⁷) hash computations to exhaust all possible passwords.

On the other hand, scheme (ii) requires brute-forcing the entire 14-char password, resulting in 32¹⁴ hash computations. Hence, scheme (ii) is much harder to crack compared to scheme (i).

B. If scheme (i) is used, a 10-char password may be less secure than a 7-char password because it provides the attacker with more information to work with. If an attacker knows that a password is split into two halves of 7 and 3 characters, they can perform a brute-force attack on the 7-char half and use the discovered password to narrow down the search space for the 3-char half. This significantly reduces the number of possible passwords that need to be tested, making the attack much easier and faster.

In contrast, a 7-char password would provide no such information, forcing the attacker to brute-force the entire 14-char password. Therefore, in scheme (i), shorter passwords may be more secure as they provide less information to the attacker and require more brute-forcing.

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Answer:

Step-by-step explanation:

B, answer 12 tickets because $20 total - $2 admission fee = $18 remaining. Then $18 divided by $1.5 is 12.

Answer:12x - 24 = 12 - 3

Step-by-step explanation:If you use the distrubutive property to solve this then 4 * 3x = 12x, 4 * 6 = 24, and then do the other side 3 * 4x = 12x, 3 * 3 = 9. There you have your answer. Unless it was suppose to be -12x = 3.

Answer:

No solution

Step-by-step explanation:

Use Distributive property.

4 · 3x = 12x

4 · (-6) = -24

Your equation should look like this now:

12x - 24 = 3(4x - 3)

Use Distributive property on the right side now.

3 · 4x = 12x

3 · (-3) = -9

Your equation now:

12x - 24 = 12x - 9

Add 24 to both sides.

Your equation:

12x = 12x + 15

Subtract 12x from both sides.

15 is left

So there is no solution.

Hope I helped :)

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Answer: 2$ a pound

Step-by-step explanation:

10$ divided by 5lb = 2$ a pound

Answer: It's -49

Step-by-step explanation:

:)

Answer:

1:32

Step-by-step explanation:

90 minutes : 2 days

First convert to same unit.

90 minutes: (2 days is 48 hours and 48 hours is 48 x 60 = 2880)

90:2880

9:288

3:96

1:32

Answer:

36

Step-by-step explanation:

The equation of the tangent line to the curve `y = 2ex cos(x)` at the point (0,2) is given by `y = 2ex + 2`.

To find an equation of the tangent line to the curve at the given point (0,2) whose equation is given by `y = 2ex cos(x)`, we need to determine the derivative `y'` of `y = 2ex cos(x)` first. Using the product rule, we have;

`y = 2ex cos(x)`...let `u = 2ex` and `v = cos(x)`, then `u' = 2ex` and `v' = -sin(x)`.`y' = u'v + uv'` `= 2ex cos(x) - 2ex sin(x)` `= 2ex(cos(x) - sin(x))`

Therefore, the derivative of `y = 2ex cos(x)` is `y' = 2ex(cos(x) - sin(x))`.

The equation of the tangent line to the curve at the point (0,2) is obtained by using the point-slope formula, which is given by: `y - y1 = m(x - x1)`where `(x1,y1)` is the point of tangency, `m` is the slope of the tangent line.

Substituting the values of `m`, `x1` and `y1`, we obtain: `m = y' |(0,2)` `= 2e(1 - 0)` `= 2e`Using the point-slope formula with `(x1,y1) = (0,2)` and `m = 2e`, we have: `y - 2 = 2e(x - 0)` `y - 2 = 2ex` `y = 2ex + 2`

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The solution of the quadratic equation is x = 2. Therefore, \(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)  or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

The quadratic formula can be use to solve the quadratic equation as follows:

x² - 4x + 4 = 0

Modelling it to quadratic equation, ax² + bx + c

Hence,

using quadratic formula,

\(\frac{-b+\sqrt{b^{2}-4ac } }{2a}\) or \(\frac{-b-\sqrt{b^{2}-4ac } }{2a}\)

where

Hence,

a = 1

b = -4

c = 4

Therefore,

\(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\) or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

Finally

x = 2

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At the end of the fifth day, a bricklayer has laid 324 bricks on the job.

Multiplication is a mathematical arithmetic operation.

It is also a process of adding the same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given, a bricklayer lays 4 bricks on the first day on the job.

On each day thereafter, he lays three times the number of bricks he laid on the previous day.

And he continued his pattern.

Let x be the number of bricks he laid in the previous day.

Then according to the question,

The number of bricks in total is = 3x

For the second day, x =4

Number of the bricks he laid on the second day = 12

Now the x =12 for the third day.

Number of the bricks he laid on the third day = 36

Now x = 36 for the fourth day.

Number of the bricks he laid on the fourth day = 108

Now the x = 108 for the fifth day.

Number of the bricks he laid on the fifth day = 324

Therefore, 324 bricks he has laid at the end of the fifth day.

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Answer:

The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).

Step-by-step explanation:

umm....I really hope this helps u

Answer:

sin(0)=15/17

Step-by-step explanation:

17 is the hypotnuse and when working with sin,you need the opppsite and the hypotnuse. Meaning 17 would be the denominator because it is the hypotnuse and then 15 would be opposite i believe.hope this helps!

Answer:

√27-2 =27-22

√25. =5

the answer is option B

x=27

Answer:

option B : x = 27

Step-by-step explanation:

Main answer:A set of values that shows the exact position of a point in a two-dimensional coordinate plane

supporting answer:  

what is coordinate system?

An arrangement of reference lines or curves used to locate points in space. The Cartesian (after René Descartes) system is the most common two-dimensional system.

body  of the answer:

final answer: by following the above steps we can find the coordinates

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A set of values that shows the exact position of a point in a two-dimensional coordinate plane

What is a coordinate system?

An arrangement of reference lines or curves used to locate points in space. The Cartesian (after René Descartes) system is the most common two-dimensional system.

Navigate to the coordinate graph with the lines X'OX, Y'OY.

Determine which quadrant of the graph contains an ordered pair or a point.

Measure the distance between the point and the x-axis to get the abscissa.

Similarly, to obtain the ordinate value, measure the point's distance from the y-axis.

By following the above steps we can find the coordinates.

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To determine how accurately the engineer must cut the square side length, we need to consider the maximum error tolerance in the area. The maximum error tolerance is given as 9 cm², and the desired area of the square is 121 cm².

The desired side length, denoted as L, is found by taking the square root of the area: L = sqrt(121) = 11 cm.

To determine the accuracy needed in the cut, we consider the maximum error tolerance. The maximum error tolerance, denoted as E, is given as 9 cm². Since the error in the area is directly related to the error in the side length, we can find the accuracy needed by taking the square root of the maximum error tolerance.

The required accuracy, denoted as Epsilon (ε), is found by taking the square root of the maximum error tolerance: ε = sqrt(9) = 3 cm.

In an epsilon-delta proof, Epsilon (ε) represents the desired accuracy or tolerance level, while Delta (δ) represents the corresponding range of inputs. In this case, the accuracy needed in the cut (Epsilon) is 3 cm, and the corresponding range of side lengths (Delta) is ±3 cm around the desired side length of 11 cm. Therefore, Epsilon = 3 cm and Delta = ±3 cm.

To summarize, the engineer must cut the square side length with an accuracy of ±3 cm to satisfy the maximum error tolerance of 9 cm². In an epsilon-delta proof, the accuracy needed (Epsilon) corresponds to ±3 cm, while the desired side length (L) is 11 cm, and the maximum error tolerance (E) is 9 cm².

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Answer:

0, 5%, 1/5, 5

5% is equal to 5÷100=0,05

1/5 is equal to 1÷5=0,2

x,y,z=(smaller z-value)=(-56/3, -32/3, 16/3)

x,y,z=(larger z-value)=(56/3, 32/3, -16/3)

These are the points on the cone that are closest to the point (14, 8, 0).

In a two-dimensional space, a point is defined by two coordinates, typically denoted by (x, y), where x represents the horizontal position, and y represents the vertical position. In a three-dimensional space, a point is defined by three coordinates, typically denoted by (x, y, z), where x, y, and z represent the horizontal, vertical, and depth positions, respectively.

We want to minimize the distance between the point (14, 8, 0) and the surface of the cone defined by the equation z² = x² + y², subject to the constraint that we stay on the surface of the cone.

Let f(x,y,z) = (x-14)² + (y-8)² + z² be the function we want to minimize subject to the constraint g(x,y,z) = z² - x² - y² = 0.

The Lagrange multiplier method involves finding the critical points of the function L(x,y,z,λ) = f(x,y,z) - λg(x,y,z), where λ is the Lagrange multiplier.

So we have:

L(x,y,z,λ) = (x-14)² + (y-8)² + z² - λ(z² - x² - y²)

Taking the partial derivatives with respect to x, y, z, and λ, and setting them equal to zero, we get the following system of equations:

2(x-14) + 2λx = 0

2(y-8) + 2λy = 0

2z - 2λz = 0

z² - x² - y² = 0

The third equation simplifies to z(1-λ) = 0, which gives us two possibilities:

Case 1: z = 0

In this case, the fourth equation becomes -x² - y² = 0, which implies that x = y = 0. But this point does not lie on the surface of the cone, so it is not a valid critical point.

Case 2: λ = 1

In this case, the first two equations become x-14 = -xλ and y-8 = -yλ, which imply that x = -7λ and y = -4λ. Substituting into the fourth equation gives:

z² = x² + y² = 65λ²

To minimize the distance between the point (14, 8, 0) and the surface of the cone, we want to find the value of λ that minimizes the function f(x,y,z) subject to the constraint g(x,y,z) = 0. Substituting x = -7λ, y = -4λ, and z = √(65λ²) into f(x,y,z), we get:

f(λ) = (7λ-14)² + (4λ-8)² + 65λ²

To minimize this function, we take its derivative with respect to λ and set it equal to zero:

f'(λ) = 30λ - 80 = 0

Solving for λ, we get λ = 8/3. Substituting this back into x = -7λ, y = -4λ, and z = √(65λ²), we get:

x,y,z=(smaller z-value)=(-56/3, -32/3, 16/3)

x,y,z=(larger z-value)=(56/3, 32/3, -16/3)

These are the points on the cone that are closest to the point (14, 8, 0).

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For the given vectors subtraction with the magnitude of the resulting vector is U - V: <-6, 5> Magnitude of U - V = \(\sqrt{61}\), V - W: <0, -6> Magnitude of V - W = 6, W - Z: <2, -3> Magnitude of W - Z = \(\sqrt{13}\).

What is vector?

In mathematics, a vector is a mathematical object that has both magnitude (size or length) and direction. Vectors are often represented by an arrow in a coordinate system, where the length of the arrow represents the magnitude of the vector and the direction of the arrow represents the direction of the vector.

U - V:

U - V = <-1, -3> - <5, -8> = <-1-5, -3-(-8)> = <-6, 5>

Magnitude of U - V = \(\sqrt{((-6)^2 + 5^2)}\) = \(\sqrt{61}\)

V - W:

V - W = <5,-8> - <5, -2> = <5-5, -8-(-2)> = <0, -6>

Magnitude of V - W = \(\sqrt{(0^2 + (-6)^2)}\) = 6

W - Z:

W - Z = <5, -2> - <3, 1> = <5-3, -2-1> = <2, -3>

Magnitude of W - Z = \(\sqrt{(2^2 + (-3)^2)}\) = \(\sqrt{13}\)

Note that U - V is not equal to V - U, and similarly for the other subtractions, since vector subtraction is not commutative.

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Answer:

Step-by-step explanation:

The equation is y=7x

x      y          Calculation

5     35         y=7x, y=7*5, y=35

6     42         y=7x, y=7*6, y=42

7      49       y=7x, y=7*7, y=49

8     56          y=7x, y=7*8, y=56

No, it is not possible for matrix A and B to be similar when B = A + I, where A is an nxn matrix and I is the identity matrix of the same size.

Two matrices A and B are said to be similar if there exists an invertible matrix P such that \(B = P^{(-1)}AP\). In this case, A and B have the same eigenvalues, and their corresponding eigenvectors can be related through the matrix P.

Let's consider the eigenvalues of B. Since B = A + I, the eigenvalues of B are obtained by adding 1 to each eigenvalue of A. In other words, if λ is an eigenvalue of A, then λ + 1 is an eigenvalue of B.

Now, suppose A and B are similar. This means that they have the same eigenvalues. However, the eigenvalues of B are shifted by 1 compared to the eigenvalues of A. Therefore, it is not possible for A and B to have the same eigenvalues, unless A has eigenvalues that are all equal to -1.

Since the eigenvalues of A and B are different, we can conclude that A and B cannot be similar.

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The correct answer is option B which is P ( A|B) will be ( 4 / 9 ).

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that:-

The total sample will have 9 numbers

S = { 1,2,3,4,5,6,7,8,9} = 9

Even Number = { 2,4,6,8} = 4

Odd Number  = { 1,3,5,7,9} = 5

P ( A ) = ( 4 / 9 )

P ( B ) = ( 5 / 9 )

The probability will be calculated as:-

P( A:B ) = \(\dfrac{P(A)\times P(B)}{P(B)}\)

P( A:B ) =\(\dfrac{( 5/9 ) ( 4/9 )}{5 / 9 }\)

P( A:B ) = 4 / 9

Therefore the correct answer is option B which is P ( A|B) will be ( 4 / 9 ).

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Even though the first student scored 150, the expected average IQ score for the remaining four students is still 100.

Explain average

The average is a statistical measure that represents the central tendency of a set of values. It is calculated by adding up all the values and dividing them by the total number of values. The average provides a single value that represents the typical value in the set and is often used to compare different sets of data or to summarize large amounts of data.

According to the given information

Let X be the random variable representing the IQ score of an individual student. Then, the sample mean of the five students, denoted by Y, can be expressed as:

Y = (X1 + X2 + X3 + X4 + X5) / 5

Given that the first student scored 150, the expected value of the sample mean of the remaining four students, denoted by E(Y|X1=150), can be calculated as follows:

E(Y|X1=150) = E((X2 + X3 + X4 + X5) / 4 | X1 = 150)

Since X1 = 150 is an observed value, we can treat it as a constant and apply the linearity of expectation:

E((X2 + X3 + X4 + X5) / 4 | X1 = 150) = (E(X2 | X1 = 150) + E(X3 | X1 = 150) + E(X4 | X1 = 150) + E(X5 | X1 = 150)) / 4

Now, since the sample is random, the remaining four IQ scores are also independent and identically distributed as X, with the same mean of 100. Therefore, we have:

E(X2 | X1 = 150) = E(X3 | X1 = 150) = E(X4 | X1 = 150) = E(X5 | X1 = 150) = E(X)

Thus, we can simplify the expression as:

E(Y|X1=150) = (4E(X) / 4) = E(X) = 100

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The Euler's formula solved for the variable V gives . V = 2 + E − F. Option 2

The subject of a formula is the variable or variables that represent the quantity being calculated or solved for.

In mathematical formulas, the subject is typically denoted by a letter or symbol, and the formula shows the relationship between the subject and other variables or constants in the equation.

From the information given, we have that;

V − E + F = 2

To make the variable, V, the subject, take the steps

collect the variable E

V + F = 2 + E

Now, collect the F variable

V = 2 + E - F

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