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Answer:

7 minutes and 10 seconds.

Answer:

z = 115 degrees

x = 15

y = 25

Step-by-step explanation:

The angles do not change so z = 115 degrees as it is congruent to angle R

30/25 = 18/x

18 x 25 = 30x

450 = 30x

x = 15

30/y = 18/15

30 x 15 = 18y

450 = 18y

y = 25

The given expression 3(2x+1) = 2(3x+2) does not have a solution.

What is Linear equation ?

A linear equation is an equation that can be written in the form ax + b = 0, where x is a variable and a and b are constants. This type of equation is used to describe relationships between two variables, and it can be used to find the solution to a variety of problems.

Given expression ,

3(2x+1) = 2(3x+2)

3*2x+3 = 2*3x + 4

shifting 6x to the LHS , we get

6x+3 = 6x+ 4

6x-6x = 4-3

As 6x-6x is 0 , so there is no solution

0 = -1

Here we do not have a solution as there is no x exponent.

Hence, The given expression 3(2x+1) = 2(3x+2)  does not have a solution.

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Dim Row A = 6 and Dim Col A = 6.

If the null space of a 7x9 matrix is 3-dimensional, then by the rank-nullity theorem, the rank of the matrix is:

Rank A = number of columns - dimension of null space

      = 9 - 3

      = 6

Therefore, Rank A = 6.

Since the rank of A is 6, the dimension of the row space of A is also 6 (because the row space is the orthogonal complement of the null space, and the sum of their dimensions equals the number of columns).

However, the number of rows of A is 7, so the row space cannot span all of R^7. Therefore, the row space of A has dimension less than or equal to 6.

Since the dimension of the row space of A is less than or equal to 6, and the rank of A is 6, it follows that the dimension of the column space of A (which is equal to the rank of A) is also 6.

Therefore, Dim Row A = 6 and Dim Col A = 6.

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Step-by-step explanation:

Since y = x + 3

Substitute the value of y for each one into the equation

1. y = 4

4 = x + 3

4 - 3 = x

x = 1

2. y = 8

8 = x + 3

8 - 3 = x

x = 5

3. y = 5

5 = x + 3

5 - 3 = x

x = 5

Hope you got it

The equation of a circle centered at the origin with a radius of 12, which is x² + y² = 144.

To find the equation of the circle, we use the standard form of the equation of a circle, which is:

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the center of the circle, and r is the radius.

In our problem, the center of the circle is at the origin, which means h = 0 and k = 0. The radius is given as 12, so we have r = 12. Substituting these values into the standard form equation, we get:

(x - 0)² + (y - 0)² = 12²

Simplifying, we get:

x² + y² = 144

Therefore, the equation of the circle centered at the origin with a radius of 12 is x² + y² = 144.

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Answer:

Step-by-step explanation:

large necklace; $5.70

$4.60 x 6= $27.60

$33.30 total

The expanded expression is 2log₂(a) - log₂(11/7)

The given expression is:
\(log_{2}((a^2) / (1 + 4/7))\), with a > 2

To expand this expression, we can apply the following logarithm properties:
1. logₐ(x y) = logₐ(x) + logₐ(y)
2. logₐ(x / y) = logₐ(x) - logₐ(y)
3. logₐ(\(x^y\)) = ylogₐ(x)

Now, apply property 2 to the given expression to get:
log₂(a²) - log₂(1 + 4/7)

Next, apply property 3 to the first term to get:
2 log₂(a) - log₂(1 + 4/7)

Finally, simplify the second term to get:
2 log₂(a) - log₂(7/7 + 4/7) = 2 log₂(a) - log₂(11/7)

So, the expanded expression is:
2log₂(a) - log₂(11/7)

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Answer:

\(x^{2}\) - x - 24 = 0

a = 1

b = 1

c = -24

Step-by-step explanation:

(x + 4)(x - 5) = 4

x(x - 5) = \(x^{2}\) - 5x

4(x - 5) = 4x - 20

\(x^{2}\) - 5x + 4x - 20 = 4

\(x^{2}\) - x - 20 = 4

\(x^{2}\) - x - 20 - 4 = 0

\(x^{2}\) - x - 24 = 0

a = 1

b = 1

c = -24

The definite integral for the area of the surface generated by revolving the curve y = 6x^3 + 2x about the x-axis, over the interval 1 ≤ x ≤ 2, can be set up and evaluated as follows:

∫[1 to 2] 2πy √(1 + (dy/dx)^2) dx

To calculate dy/dx, we differentiate the given equation:

dy/dx = 18x^2 + 2

Substituting this back into the integral, we have:

∫[1 to 2] 2π(6x^3 + 2x) √(1 + (18x^2 + 2)^2) dx

Evaluating this definite integral will provide the surface area generated by revolving the curve about the x-axis.

b) The definite integral for the area of the surface generated by revolving the curve x = 4y - 1 about the y-axis, over the interval 1 ≤ y ≤ 4, can be set up and evaluated as follows:

∫[1 to 4] 2πx √(1 + (dx/dy)^2) dy

To calculate dx/dy, we differentiate the given equation:

dx/dy = 4

Substituting this back into the integral, we have:

∫[1 to 4] 2π(4y - 1) √(1 + 4^2) dy

Evaluating this definite integral will provide the surface area generated by revolving the curve about the y-axis.

By setting up and evaluating the definite integrals for the given curves, we can find the surface areas generated by revolving them about the respective axes. The integration process involves finding the appropriate differentials and applying the fundamental principles of calculus.

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V= (4d^2 - 48d + 96) / (-36(d - 1)^2) will be the expression for the volume of the following prism when the dimensions of the prism are given.

The quantity of space a three-dimensional figure occupies is measured by its volume. It is determined by multiplying the object's length, breadth, and height, and is generally symbolized by the letter "V". For example, the volume of a cube with sides of length 3 units is 3 x 3 x 3 = 27 units.

The formula 4/3r3 may be used to determine a sphere's volume, where r is the sphere's radius. The area of the base times the height of the cylinder, or r2h, yields the volume of a cylinder.

It's important to remember that the volume of a three-dimensions figure varies depending on its shape and size.

How to solve?

V = (d - 2/3d - 9) * (4/d - 4) * (2d - 6/2d - 4)

V = (d - 2/3d - 9) * (4/d - 4) * (4d - 24/4d - 16)

V = ((d - 2)/(3d - 9)) * (4/d - 4) * (4d - 24/4d - 16)

V = ((d - 2)/(3d - 9)) * (4/(d - 4)) * (4d - 24/(4d - 16))

V = ((d - 2)/(3d - 9)) * (4/(d - 4)) * (4d - 24/(4d - 16))

= ((d - 2) * 4 * (4d - 24)) / ((3d - 9) * (d - 4) * (4d - 16))

= (4d^2 - 48d + 96) / (12d^2 - 48d^2 + 144d - 36)

= (4d^2 - 48d + 96) / (-36d^2 + 144d - 36)

= (4d^2 - 48d + 96) / (-36(d^2 - 4d + 1))

= (4d^2 - 48d + 96) / (-36(d - 1)(d - 1))

V= (4d^2 - 48d + 96) / (-36(d - 1)^2)

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The decimal value of the given postfix (RPN) expression "4 7 2 - * 6 4 / 7 *" is 14.0 when rounded to one decimal place.

To evaluate the postfix expression, we follow the Reverse Polish Notation (RPN) method. We start by scanning the expression from left to right.

1. The first number encountered is 4, which we push onto the stack.

2. The next number is 7, which is also pushed onto the stack.

3. Then we encounter 2. Since the next operation is subtraction (-), we pop 2 and 7 from the stack and calculate 7 - 2 = 5. The result 5 is pushed back onto the stack.

4. The multiplication (*) operation is encountered. We pop 5 and 4 from the stack and calculate 5 * 4 = 20. The result 20 is pushed onto the stack.

5. The number 6 is pushed onto the stack.

6. Next, we encounter 4. As the next operation is division (/), we pop 4 and 6 from the stack and calculate 6 / 4 = 1.5. The result 1.5 is pushed back onto the stack.

7. Finally, the multiplication (*) operation is encountered again. We pop 1.5 and 20 from the stack and calculate 1.5 * 20 = 30. The result 30 is pushed onto the stack.

At this point, the stack contains only the final result, 30.0. Therefore, the decimal value of the given postfix expression is 30.0, which, when rounded to one decimal place, becomes 14.0.

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Assonance and consonance are both literary devices that can greatly impact a poem. They contribute to the poem's overall mood, musicality, and structure.

Assonance refers to the repetition of vowel sounds in close proximity within a line or stanza, while consonance involves the repetition of consonant sounds.

These techniques create a sense of harmony and rhythm, making the poem more engaging and enjoyable for the reader.

Assonance can evoke particular emotions and feelings by focusing on specific vowel sounds.

For example, soft vowel sounds, such as "oo" or "ee," can create a calming and soothing atmosphere, while harsher vowels, like "a" or "o," can evoke tension or excitement.

This helps to establish the poem's tone and mood, allowing the reader to connect with the poet's intended message.

Consonance, on the other hand, can create a sense of cohesion within the poem by emphasizing particular consonant sounds.

This can strengthen the connection between lines and stanzas, helping to create a consistent theme throughout the poem.

Consonance can also add a musical quality to the verse, making it more memorable and engaging.

The assonance and consonance play crucial roles in shaping a poem's mood, musicality, and structure.

They help to create a more immersive and memorable reading experience, enabling the reader to connect with the poet's message and emotions on a deeper level.

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Answer:

120

Step-by-step explanation:

For this, all we have to do is multiply 750 by 16%. We know, from percent to decimal conversion, that 16% is 0.16 (divide the percent by 100 to convert to a decimal). From there, if we multiply 750 by 0.16, we get our answer to be 120

Answer:

1/153

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.

probability that the first sock and the second sock are both red = (number of red socks /total number of socks) x (number of red socks /total number of socks)

At the first pick, the probability = 2/18

At the second pick because there is no replacement, there would be 1 red socks and 17 socks = 1/17

2/18 x 1/17 = 1/153

Answer:

125

Step-by-step explanation:

y = 1k/x^3  I am trying to find the constant k.  I will use the information that I have been given to find k

1 = k/5^3

1 = k/125  Multiply both sides by 125

125 = k

Now, we will find y when x = 1

y = 125/1^3

y = 125

The value of y is 125 when x is 1.

Write the function y as a function of x, i.e., y = f(x), and then solve for x as a function of y, to determine the inverse of a function.

y = 1k/x^3  I am trying to find the constant k.  I will use the information that I have been given to find k

1 = k/5^3

1 = k/125

Multiply both sides by 125

125 = k

Now, we will find y when x = 1

y = 125/1^3

y = 125

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The probability that at least 25 of the 29 customers have looked at their credit score in the past six months is:

P(X ≥ 25) = sum(P(X = i)) i = 25 to 29

This is a question of probability and statistics, specifically in the area of binomial distributions. The probability of a single event can be calculated using the binomial probability formula:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

X = the number of successful outcomes (in this case, the number of customers who have looked at their credit score in the past six months)

k = the number of successful outcomes we want to know the probability of (in this case, 25)

n = the total number of trials or customers (in this case, 29)

p = the probability of a successful outcome (in this case, 0.67 or 67%)

        P(X ≥ k) = sum(P(X = i)) i = k to n

        P(X ≥ 25) = sum(P(X = i)) i = 25 to 29

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The type of standard score that has a mean (m) of 0 and a standard deviation (sd) of 1 is known as the Z-score.

The Z-score, also referred to as the standard score, is a statistical measure that standardizes a given value in a distribution. It indicates how many standard deviations a particular value is away from the mean of the distribution. When the mean (m) is 0 and the standard deviation (sd) is 1, the resulting Z-score is based on this standardization. The formula for calculating the Z-score is (x - m) / sd, where x represents the value being standardized. By using this formula with m = 0 and sd = 1, the Z-score provides a standardized value that allows for comparisons and analysis across different datasets with varying means and standard deviations.

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The given situation is an example of a point prevalence rate.

The point prevalence rate is the proportion of people in a population who have a particular disease or condition at a particular point in time. In this given situation, the city has a population of 250,000, with 90,000 of them having the disease, so the point prevalence rate would be calculated as follows:

Point Prevalence Rate = (Number of People with the disease / Total Population) x 100%

Point Prevalence Rate = (90,000 / 250,000) x 100%

Point Prevalence Rate = 0.36 x 100%

Point Prevalence Rate = 36%

Therefore, the given situation is an example of a point prevalence rate as it indicates the proportion of people in a population who have the disease at a specific point in time

The given situation is an example of a point prevalence rate.

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Answer: 40 seconds per worksheet

Step-by-step explanation:

From the information given in the question, we are informed that Robert took 8 minutes to complete his 12 worksheets.

Based on this, his unit rate of completing worksheets will be given as:

= 8 minutes / 12

= 480 seconds / 12

= 40 seconds per worksheet

Note 1 minute = 60 seconds

8 minutes = 8 × 60 = 480 seconds

Answer:

39

Step-by-step explanation:

let the 2 digit number be ab = 10a + b ( considering place value )

The reversed  2 digit number is ba = 10b + a

The sum of the 2 digit number is

a + b = 12 ( subtract b from both sides )

a = 12 - b → (1)

Expressing as an equation

ba = ab + 54 , that is

10b + a = 10a + b + 54

Substitute a = 12 - b into the equation

10b + 12 - b = 10(12 - b) + b + 54 , simplify both sides

9b + 12 = 120 - 10b + b + 54

9b + 12 = - 9b + 174 ( add 9b to both sides )

18b + 12 = 174 ( subtract 12 from both sides )

18b = 162 ( divide both sides by 18 )

b = 9

Substitute b = 9 into (1)

a = 12 - 9 = 3

Thus

the original 2 digit number = ab = 39

The reversed 2 digit number = ba = 93

which is 54 more than the original number

The symbolic representation of the statement "All maples are trees" is: ∀x(M(x) → T(x))

To translate the statement "All maples are trees" into symbolic form, we can use predicate letters to represent the relevant concepts. Let's assign the predicate letters as follows:

M: x is a maple.

T: x is a tree.

Using these predicate letters, we can translate the statement as follows:

For all x, if x is a maple (M), then x is a tree (T).

In symbolic form, this can be represented as:

∀x(M(x) → T(x))

The symbol ∀ represents the universal quantifier "for all" or "for every," indicating that the statement applies to all objects in the domain of discourse. In this case, the domain of discourse would include all objects or elements under consideration, such as trees.

The arrow (→) represents the implication, indicating that if an object x is a maple (M), then it is also a tree (T). The implication symbolizes the logical relationship between the antecedent (M(x)) and the consequent (T(x)), stating that if the antecedent is true (x is a maple), then the consequent must also be true (x is a tree).

This symbolic form accurately captures the idea that for every object x in the domain, if it is a maple, then it is also a tree. It provides a concise and precise representation of the statement in the language of symbolic logic.

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Answer:

52

Step-by-step explanation:

your mother is not okay

Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

how do i find a functions formula when dealing with word problems?​

I will be depend on the situation given in the problem

For example :

if the wage is 50

The probability that the movie "Far-Far Away" will be watched last is 1/6 or approximately 0.1667. This is because there are six movies in total and if they are randomly ordered, there is only one way for "Far-Far Away" to be watched last out of the six possible orders.

To explain further, the probability of an event happening is calculated by dividing the number of ways that event can occur by the total number of possible outcomes. In this case, there are six movies to choose from, so there are 6! (6 factorial) possible ways to order them. This equals 720 possible orders.

Out of these 720 possible orders, there is only one way for "Far-Far Away" to be watched last. This is because there are five other movies that can be watched before it, and once they have been chosen and watched, there is only one movie left to watch - "Far-Far Away". Therefore, the probability of "Far-Far Away" being watched last is 1/6 or approximately 0.1667.

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