11. Samuel's current salary is $30,000. He has been
promised a raise to $31,500 next year. His raise
will be what percent increase over his current
salary?
A. 3%
B. 3.5%
C. 4%
D. 5%

Answer:

X < 7/2

Step-by-step explanation:

Move the variable to the left, separate into possible cases , solve, find the intersections, find the union, and then you get your solution.

Step-by-step explanation:

Given that:

|2x-7| = 7-2x

⇛2x-7 = 7-2x or -(7-2x)

since |x| = a ⇛ x = a or x = -a

⇛2x-7 = 7-2x or 2x-7 = 2x-7

Shift all variables on LHS and constant on RHS, changing it's sign.

⇛2x+2x = 7+7

Add the values on LHS and RHS.

⇛4x = 14

Shift the number 4 from LHS to RHS.

⇛x = 14/4

Write the fraction in lowest form by cancelling method.

⇛ x = {(14÷2)/(4÷2)}

⇛x = 7/2

There is no solution for negative value

x = 7/2

Please let me know if you have any other questions.

Answer:

24 ounces butter

20 ounces sugar

28 ounces of flour

12 eggs

8 tsps baking powder

Answer:

its 413.213

Step-by-step explanation:

Answer:

Step-by-step explanation:

Is the given equation factorable?

(x - 7)(x - 2) = x^ - 9x + 14 That doesn't work.

-7 * - 2  = 14 but the middle term is - 9 not - 5

x - 7 is not a factor  of x^ - 5x + 14

What is?

Something very ugly (x - 2.5 +/- 2.783 i )

Answer:3.65 Minutes

Step-by-step explanation:This might be right hope it helps

Answer:

x = 2

z = 85°

Step-by-step explanation:

95° + z = 180°

z = 180 - 95

z = 85°

z + (11x + 73) = 180°

85 + (11x + 73) = 180°

11x + 85 + 73 = 180°

11x + 158 = 180°

11x = 180 - 158

11x = 22

x = 22/11

x = 2

Answer:

see below

Step-by-step explanation:

y=mx+b: slope and intercept

ax+by/c: standard

(x-x1)*m=y-y1: point slope

y>-2x+4 is the inequality of the given graph.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given line passes through (2,0) and (0,4)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

m=4/-2=-2

4=-2(0)+b

b=4

Hence equation of line y=-2x+4

The shaded region is the above the line and line is dotted. so we have to use greater than symbol.

Hence, y>-2x+4 is the inequality of the given graph.

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Answer:

9.1 x 10²

Step-by-step explanation:

Answer:

if 160 is the whole investment over 8 years than 500

Step-by-step explanation:

Hope this helps

Pls give me brainlist

The function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.

The pseudo code for matrix multiplication may look something like this:

```

MatrixMultiplication(A, B):

   n = size of matrix A

   C = empty matrix of size n x n

   for i = 1 to n do:

       for j = 1 to n do:

           sum = 0

           for k = 1 to n do:

               sum = sum + A[i][k] * B[k][j]

           C[i][j] = sum

   return C

```

Let's break down the number of operations step by step:

1. Assigning the size of matrix A to variable n: 1 operation

2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)

3. Outer loop: for i = 1 to n

- Incrementing i: n operations  

- Inner loop: for j = 1 to n

- Incrementing j: n^2 operations (since it is nested inside the outer loop)

- Initializing sum to 0: n^2 operations

- Innermost loop: for k = 1 to n

- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)

- Performing the multiplication and addition: n^3 operations

- Assigning the result to C[i][j]: n^2 operations

- Assigning the value of sum to C[i][j]: n^2 operations

Total operations:

1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1

Therefore, the function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1

To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.

In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

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The value of x in the equation is -3.

The given equation is 4 = (3x+17)/2

We have to find the value of x

Apply cross multiplication

4×2 = 3x+17

8=3x+17

Subtract 17 from both sides

8-17=3x

-9=3x

Divide both sides by 3

x=-3

Hence, the value of x in the equation is -3.

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Answer:

Used ti should be the correct answer

Step-by-step explanation:

Answer:

That means the sum of the first 99 positive integers is 49(100) + 50 = 4900 + 50 = 4950. 2.

Eric's fraction is 8/20. We can solve the riddle with the help of algebraic equations.

Eric's fraction is 8/20. We can solve the riddle by using algebraic equations. We are looking for a fraction that is equivalent to 2/5. Therefore, the denominator of the equivalent fraction is 5. Let's call the numerator of the fraction y. The second piece of information we have is that the numerator is 18 less than the denominator. Therefore: y = 5 - 18 y = -13. However, we know that y has to be a positive number since it represents a numerator. So, this is not the answer. We can solve this by setting the denominator of the equivalent fraction to 20. Since we have multiplied the denominator by 4, we will also multiply the numerator by 4. This gives us an equivalent fraction of 8/20. Since we know that the numerator is 18 less than the denominator, 18 + 8 = 26. So the fraction is 8/20.

Therefore, Eric's fraction is 8/20.

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The required cartesian equation is:

y/x = (7sin^2(θ)/cos(θ))/(7sin(θ)) => y/x = sin(θ)/cos(θ) => y/x = tan(θ)

To find the Cartesian equation of the curve r = 7tan(θ)sec(θ), we need to use the polar-to-Cartesian conversion formulas:
x = rcos(θ) and y = rsin(θ)

First, let's rewrite the given equation in terms of sin(θ) and cos(θ):
r = 7(tan(θ)sec(θ)) => r = 7(sin(θ)/cos(θ))(1/cos(θ))

Now, we can substitute the polar-to-Cartesian conversion formulas:
x = rcos(θ) => x = 7(sin(θ)/cos(θ))(1/cos(θ))(cos(θ))
y = rsin(θ) => y = 7(sin(θ)/cos(θ))(1/cos(θ))(sin(θ))

Simplify the equations:
x = 7sin(θ)
y = 7sin^2(θ)/cos(θ)

Now, divide the second equation by the first:

y/x = (7sin^2(θ)/cos(θ))/(7sin(θ)) => y/x = sin(θ)/cos(θ) => y/x = tan(θ)

The above equation is a Cartesian equation for the given curve. This equation represents a line with a slope of 7 and passing through the origin, which confirms the curve is a line.

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Answer:

B

Step-by-step explanation:

Answer:

We know the x-intercept only

Answer:

3x^4

Step-by-step explanation:

Answer:

495x^10 y^5

Step-by-step explanation:

Answer:

hdmi po ung sagot

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

1800x50=90,000

90,000 divdivide by 150

=600

After solving the given expression we get  a = b = 12 and q = r = 24.

A fractiοn is a numerical quantity that represents a part οf a whοle οr a ratiο between twο quantities. It is written as a tοp number (numeratοr) οver a bοttοm number (denοminatοr), separated by a hοrizοntal line.

Tο subtract 2/3 - 1/4, we need tο find a cοmmοn denοminatοr fοr the twο fractiοns. The smallest cοmmοn denοminatοr is 12, sο we'll cοnvert each fractiοn tο an equivalent fractiοn with a denοminatοr οf 12:

2/3 = 8/12 (multiply bοth numeratοr and denοminatοr by 4)

1/4 = 3/12 (multiply bοth numeratοr and denοminatοr by 3)

Nοw we can subtract the twο fractiοns:

8/12 - 3/12 = 5/12

Sο 2/3 - 1/4 = 5/12.

Tο express the result as a fractiοn in the fοrm x/y, we can simply use the answer we fοund: x = 5, y = 12, sο:

2/3 - 1/4 = 5/12 = 5/12

Similarly, tο express the result as a fractiοn in the fοrm a/b, we need tο find anοther equivalent fractiοn with a cοmmοn denοminatοr. We can use 24 as a cοmmοn denοminatοr this time:

2/3 = 16/24 (multiply bοth numeratοr and denοminatοr by 8)

1/4 = 6/24 (multiply bοth numeratοr and denοminatοr by 6)

Nοw we can subtract the twο fractiοns:

16/24 - 6/24 = 10/24

Sο 2/3 - 1/4 = 10/24.

Tο express the result as a fractiοn in the fοrm a/b, we can simplify the fractiοn by dividing bοth numeratοr and denοminatοr by their greatest cοmmοn factοr, which is 2:

10/24 = (10 ÷ 2) / (24 ÷ 2) = 5/12

Sο we get a=b=12 and q=r=24.

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The identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

ta: Mean time between calls to the center

tθ: Effective response time

∂a: Standard deviation of the time between calls to the center

∂θ: Standard deviation of the effective response time

ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)

rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)

Given information:

Mean time between calls to the center (ta) = 6 minutes

Standard deviation of time between calls (∂a) = 4 minutes

Effective response time (tθ) = 11 minutes

Standard deviation of effective response time (∂θ) = 20 minutes

Using this information, we can determine the values of the parameters:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/ta = 1/6 minutes^(-1)

rθ = 1/tθ = 1/11 minutes^(-1)

So, the identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

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The formula for the general term of  sequence {1, 0, -1, 0, 1, 0, -1, 0,...} is given by

\(a_{n} = cos\frac{(n-1)\pi }{2}\).

According to the given question.

We have a sequence {1, 0, -1, 0, 1, 0, ...}

Since, we have to find the formula for the general term of the given sequence.

Here, the first term is 1.

Second term is 0.

And the third term is -1.

From the given sequence we can say that all the even term is 0 and other terms are followed by 1 and -1.

Therefore, the formula for the general term of  sequence {1, 0, -1, 0, 1, 0, -1, 0,...} is given by

\(a_{n} = cos\frac{(n-1)\pi }{2}\).

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Answer:

X = - 54

Step-by-step explanation:

6 + x = - 48

x = - 48 - 6

The main difference between an area variance and a use variance is that area variance allows for an exception to zoning regulations related to the physical characteristics of a property, while use variance allows for an exception to regulations related to the intended use of a property.

An area variance is typically granted when a property owner is unable to comply with zoning regulations related to setbacks, building height, lot coverage, or other physical characteristics of a property.

In contrast, a use variance allows a property owner to use their property for a purpose that is not permitted under the current zoning regulations. This may include using a residential property for commercial purposes or using a commercial property for residential purposes.

Use variances are generally more difficult to obtain than area variances, as they require a showing of a unique hardship or practical difficulty that cannot be addressed through other means.

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Answer:

Step-by-step explanation:

500 / 4 = 20 quarters we have

for the newspaper we will put only 3 quarters to machine

3 * 25 = 75 cents

75 - 60 = 15 cents lose

still we have 17 quarters

The correct answers are:

C:) He can deposit $83.75 into savings each month, and there will be $164.25 left over.

Explanation:

The expenses he has listed are:

Health insurance, co-pays, etc. at $640 per year.

Auto maintenance at $35 per quarter, which is 35(4) = 140 per year (there are four quarters in a year).

Auto registration at $225 per year.

This is a total of 640+140+225 = $1005 per year.

Dividing this into monthly amounts, we have

1005/12 = $83.75.

If he deposits this amount each month, he will have saved the required amount.

Depositing this amount into a savings account every month will leave him with $248 - $83.75 = $164.25 per month for an emergency fund.

Amount $83.75 future expenses; $164.25 emergency fund.

Option C is correct.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Given that,

Has a monthly net cash flow of $248.

Predictable Expense Amount

Medical exams, lab co-pays, health insurance co-pays $640 every year

Auto maintenance $35 per quarter

Auto registration $225 per year

here,

Total Expenses =  640 +  35 × 4 + 225

                        =  640 + $140+  225

                         =  1005

Balance left after expenses= $ 2976 - $1005

                                              =  $1971

Money left in Rogerio's account after each month for an emergency fund,

= 1971 / 12

= $164.25

And, Money for future expenses = total income-emergency fund

=  $248 - $164.25  

= $ 83.75

Thus,  $83.75 future expenses; $164.25 emergency fund. Option C is correct.

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