Your gross annual pay is $19 163. Employment insurance premiums are deducted at a rate of 2. 25% and Canada Pension Plan premiums are 3. 75% based on total earnings. You pay income taxes at a rate of 17% on all amounts over $8131. What is your Net Pay for the year?

Answer:

   they wont need to hire someone for nine months.

Charlie will be gone in 6 months, while Dash has 3 more months after til she leaves.

Answer: 18 months

Step-by-step explanation:

If both of them aren't at home, then they hire someone to look after the dog. However, if Charlie is on a trip and Dasha isn't, they don't. So they would need to be at business trips at the same time and that means they will hire someone to look after the dog. So we find the LCM of 6 and 9 which is 18 months.

On the interval [0, 2π], the minimum values of f(x) = 12cos^2(x) - 1 are -1, and the maximum values are 11.

To find the minimum and maximum values of the function f(x) = 12cos^2(x) - 1 on the interval [0, 2π], we need to determine the critical points and endpoints within that interval.

First, let's differentiate the function f(x) with respect to x to find the critical points. The derivative of f(x) is f'(x) = -24cos(x)sin(x).

Next, we set f'(x) equal to zero and solve for x:

-24cos(x)sin(x) = 0

This equation is satisfied when cos(x) = 0 or sin(x) = 0.

For cos(x) = 0, we have x = π/2 and x = 3π/2 as critical points.

For sin(x) = 0, we have x = 0 and x = π as critical points.

Now, we evaluate the function f(x) at these critical points and the endpoints of the interval [0, 2π]:

f(0) = 12cos^2(0) - 1 = 11

f(π/2) = 12cos^2(π/2) - 1 = -1

f(π) = 12cos^2(π) - 1 = 11

f(3π/2) = 12cos^2(3π/2) - 1 = -1

f(2π) = 12cos^2(2π) - 1 = 11

From the evaluations, we see that the minimum values of f(x) are -1, occurring at x = π/2 and x = 3π/2, while the maximum values are 11, occurring at x = 0, x = π, and x = 2π.

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Answer:

3

Step-by-step explanation:

on a number line, we use the absolute values to find the difference.

the absolute value of -2 is 2

the absolute value of -5 is 5

5-2=3

so, the distance between -2 and -5 on a number line is 3

Answer:

567 ft

Step-by-step explanation:

1 yd = 3 ft

1 yd is to 3 ft as 189 yd is to x ft

1/3 = 189/x

1 × x = 3 × 189

x = 567

567 ft

Answer:

26

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

x + y + 5

x = 6

y = 15

Step 2: Evaluate

The radius and height of a right cylinder made with least amount of metal which has a capacity of 38in³ is 1.82in and 3.64in respectively.

Least amount of metal means minimum surface area. Assuming closed top and bottom surface and right cylinder is of radius r and height h. Area, A = 2πrh + 2×πr²

To find the relationship between r and h minimizing the area,

dA/dr = 0

2πh + 4πr = 0

h = 2r

Given the cylinder is of fixed volume 38in³. Therefore

πr²h = 38

πr²×(2r) = 38

r³ = 19/π

r ≈ 1.82in

h = 2r = 3.64in

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The range of the function is: \(\{y | y \ge -2 \}\)

The range of a function is the set of output values the function can take

The function is given as:

\(g(x) = |x - 12| -2\)

The above function is an absolute value function;

And it is represented as:

\(g(x) = a|x - h| + b\)

When a is positive, then the range of the function is:

\(y \ge b\)

By comparison, we have:

\(a =1\)

\(b = -2\)

Hence, the range of the function is: \(\{y | y \ge -2 \}\)

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Answer:

2 is to 4

Step-by-step explanation:

when u comnbkdkd the osapkbdbd

Answer:

Step-by-step explanation:

Answer: 2/31

Explanation: When doing this question, it is best to make a chart with all the possibilities. From there, look and see which possibilities cannot get a change of a dollar to get the answer.

Answer:

150 miles

Step-by-step explanation:

Answer

3.1

Step-by-step explanation:

jud did it

f(x) = -1, f(x) = 0,No Fourier series expansion, No Fourier series expansion f(x) = (4/π) * (sin(x) - (1/3) * sin(3x) + (1/5) * sin(5x) - ...)f(x) = (a₀/2) + Σ(an * cos(n#x) + bn * sin(n#x))

Fourier series expansion represents a periodic function as a sum of sine and cosine functions. Let's find the Fourier series expansions for the given functions:

For the function f(x) = -1, the Fourier series expansion will have only a constant term. The expansion is f(x) = -1.

For the function f(x) = 0, which is a constant function, the Fourier series expansion will also have only a constant term. The expansion is f(x) = 0.

For the function f(x) = x², the Fourier series expansion can be found by calculating the coefficients. However, since the function is not periodic with a period of 21, it does not have a Fourier series expansion.

For the function f(x) = x³/2, similar to the previous function, it is not periodic with a period of 21, so it does not have a Fourier series expansion.

For the function f(x) = sin(x), which is periodic with a period of 2π, we can express it as a Fourier series expansion with coefficients of sin(nx) and cos(nx). In this case, the expansion is f(x) = (4/π) * (sin(x) - (1/3) * sin(3x) + (1/5) * sin(5x) - ...).

For the function f(x) = cos(#x), where "#" represents a constant, the Fourier series expansion will also have coefficients of sin(nx) and cos(nx). The expansion is f(x) = (a₀/2) + Σ(an * cos(n#x) + bn * sin(n#x)), where a₀ is the average value of f(x) over a period and an, bn are the Fourier coefficients.

For the function f(x) = |x|, which is an absolute value function, the Fourier series expansion can be calculated piecewise for different intervals. However, since the function is not periodic with a period of 21, it does not have a simple Fourier series expansion.

For the function f(x) = (1 + x)^(if-1), the Fourier series expansion depends on the specific value of "if." Without knowing the value, it is not possible to determine the exact Fourier series expansion.

For the function f(x) = 1/x², similar to the previous cases, it is not periodic with a period of 21, so it does not have a Fourier series expansion.

For the function f(x) = 0, which is a constant function, the Fourier series expansion will have only a constant term. The expansion is f(x) = 0.

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Answer: (My view) 6.

Step-by-step explanation: Letting "n" be the number of pictures taken. The probability of no one look at the camera for n photos is of (3/4)^n.

Hence, the probability of at least one photo be the picture craven is of:

(1 - (3/4)^n), and since the likelihood of that being equal to 4/5, it's feasible to assume that (1 - (3/4)^n) = 4/5, solving for that would give:

(3/4)^n = 1/5. Notice that the proposal can also be interpreted as "The number of pictures needed such that the probability of a picture NOT including one with everyone looking at the camera is at most 1/5",

Therefore, (3/4)^n < 1/5;

To solve for that:

n = 1:

3/4 > 1/5,

n = 2:

9/16 > 1/5

n = 3

27/64 > 1/5

n = 4

81/256 > 1/5

n = 5

243/1024 > 1/5

But finally:

n = 6

729/4096 < 1/5

For at least 6 pictures she must take to have at least a 4/5 chance of having a picture in which everyone is looking at the camera.

Let p define the probability of success in a Bernoulli trial, and P define the probability Sara wants to reach "at least" and n be defined as the number of trials. Then,

= 1 - (1 - p)ⁿ ≥ P

= (1 - p)ⁿ ≤ 1 - P

= n ≥ ln(1-P)/ln(1-p)

= n ≥ ln (0.2) / ln (0.75)

=5.6

Hence for at least n=6 photos, there is at least a chance of 4/5 that everyone is looking at the camera.

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Let's break down the expression for Tony's combined total earnings step by step.

First, we consider Tony's earnings as a tutor. He earns $11 per hour as a tutor, so the amount he earns from tutoring is given by the product of his hourly rate ($11) and the number of hours he worked as a tutor (t). This can be represented as $11t.

Next, we consider Tony's earnings as a waiter. He earns $13 per hour as a waiter, so the amount he earns from waiting tables is given by the product of his hourly rate ($13) and the number of hours he worked as a waiter. Since Tony worked a total of 106 hours this month and spent t hours as a tutor, he must have worked (106 - t) hours as a waiter. This can be represented as $13(106 - t).

To calculate Tony's combined total earnings for the month, we add the amount he earned as a tutor ($11t) to the amount he earned as a waiter ($13(106 - t)). This yields the expression:

Earnings = $11t + $13(106 - t)

This expression represents the total dollar amount Tony earned this month, considering the number of hours he worked as a tutor (t) and waiter (106 - t).

The correct option d.) 0.033 , is the standard error for the given sample distribution.

For the stated question-

Sukie told us that after speaking with 125 workers at her company, she learned that 21 of them intended to take a long vacation the following year.

Let P represent the percentage of workers who intend to take a long vacation in 2019.

p = X/n

p = 21/125 = 0.168

Her company employs 125 people, hence n = 125.

Now, the following formula is used to determine the standard error:

SE = √p(1 - p)/ n

SE = √0.168(1 - 0.168)/125

SE = 0.033

Thus, the value of the standard error for the given sample distribution is found as 0.033.

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So, approximately, the main entrance and the kitchen are 4.47 yards apart by distance equation.

The distance formula is used to calculate the distance between two points in a coordinate plane. The formula is based on the Pythagorean theorem and involves finding the square root of the sum of the squares of the differences in the x-coordinates and the y-coordinates of the two points.

In this case, we are given two points: (-9, 8) and (-5, 6). To find the distance between these two points, we can plug the coordinates into the distance formula, which gives us:

distance = √[(x2 - x1)² + (y2 - y1)²]

where x1 and y1 are the coordinates of the first point and x2 and y2 are the coordinates of the second point.

Plugging in the given coordinates, we get:

distance = √[(-5 - (-9))² + (6 - 8)²]

which simplifies to:

distance = √[4² + (-2)²]

The square of 4 is 16, and the square of -2 is also 4 (since the negative sign is squared away), so we can simplify further:

distance = √[16 + 4]

distance = √[20]

Finally, we take the square root of 20 to get the distance:

distance ≈ 4.47 yards.

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The equation of the plane with normal vector =⟨−5,2,5⟩ passing through the point =(4,1,8) in scalar form is 5x + 2y + 5z = 22.

1. Recall the equation of a plane in scalar form: Ax + By + Cz = D, where ⟨A, B, C⟩ is the normal vector of the plane, and (x, y, z) are the coordinates of any point on the plane.

2. In this case, the normal vector is given as ⟨−5, 2, 5⟩. Therefore, A = -5, B = 2, and C = 5.

3. The plane passes through the point (4, 1, 8). We can use this point to find the value of D. Substitute the point's coordinates into the equation: -5(4) + 2(1) + 5(8) = D.

4. Calculate the value of D: -20 + 2 + 40 = 22.

5. Now, we can write the equation of the plane in scalar form using the values of A, B, C, and D: -5x + 2y + 5z = 22.

So, the equation of the plane with normal vector ⟨−5, 2, 5⟩ passing through the point (4, 1, 8) in scalar form is: -5x + 2y + 5z = 22.

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We have the following:

The unit rate would be the amount of calories per gram, so we must divide the number of calories by the number of grams

That is, there are 5 calories per gram in this candy bar.

a. 7/ 8

b. 7/ 3

c. 50 / 24

d. 29/ 6

A fraction is a part of a whole. It is also known as the number is expressed as a quotient, with the numerator is divided by the denominator.

Simple fractions are made up of both are integers.

Complex fractions has a fraction in the numerator or denominator

Proper fractions, have the numerator  less than the denominator.

a. 31/ 2÷ 4

7/ 2 ÷ 4

Take inverse of the second number and multiply

7/ 2 × 1/ 4

Multiply through

7/ 8

b. 3 2/ 3 ÷ 1 4/7

11/ 3 ÷ 11/ 7

Take inverse of the second number and multiply

11/ 3 × 7/ 11

Multiply through

7/ 3

c. 1/ 2 + 3/ 4 + 5/ 6

Find the LCM

12 + 18 + 20/ 24

We the have;

50 / 24

d. 11/ 2 - 2/ 3

Find the LCM

33 - 4/6

29/ 6

Thus, the answers are in improper fractions and can also be written in mixed fractions.

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Answer:

Q and W are similar but not congruent.

Step-by-step explanation:

Answer:

2b + 9c - 5

Step-by-step explanation:

Check the picture below.

the function is the Cost function for the bagels, of course that'd depend on the price of each bagel, so the cost C(x) is dependent on how many independent bagels Naomi is buying, as you can see in the table in the picture.

now, if Naomi gets 10 bagels, that simply means that x = 10, thus the price is C(10), or namely C(10) = 1.25(10), so Naomi better check her pockets for $12.50 for the bagels, hopefully she'll get some cream cheese too and cocoa.

Answer:

498

Step-by-step explanation:

So,if mike stacked 249 legos and thomas did twice as much that means x2 so if you do 249 x2 you get 498.

Answer:

The answer is 3 ≤ y ≤ 8.

Step-by-step explanation:

When we want to find range of a function, we have to look at maximum and minimum value of y-axis.

So the range of this function is 3 ≤ y ≤ 8.

Answer:

a)(140,57)

b)positive correlation

c)155cm (Give or take)

Step-by-step explanation:

a) find the outlier which doesn't follow the pattern as the rest

find the coordinates.(140,57)

b)all of the results follow a positive pattern when weight increases so does the height.

c)draw a line of best fit and draw a line from 45kg out to that line and follow I'd down towards weight to find an estimated amount.

hope this helps

The outlier point is (140,57), the correlation type is a positive correlation and the estimated height of the student is 154 cm

This is the point that is far from other points in the scatter plot.

From the given graph, the point (140,57) is far from others.

Hence, the outlier point is (140,57)

From the graph, we can see that the points increase towards the right.

This represents a positive correlation

Hence, the correlation type is a positive correlation

The weight is given as:

Weight = 45 kg

From the graph, the closest points to y = 45 are

x = 148, 153, 156 and 158

The mean of these values is 154.

Hence, the estimated height of the student is 154 cm

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6 roses for $2.45 each.

6×2.45 = $14.70

12 carnations for $0.99 each.

12×0.99 = $11.88

9 tulips for ???

in total the price is $40.08 (incl. the tulips).

40.08 = 14.7 + 11.88 + 9×???

13.5 = 9×???

??? = $1.50

so, each tulip costs $1.50

The system of inequalities of the company with the better offer is 75 + 20x ≤ y and 15 + 65x ≤ y

Let's use A to represent the total cost (in dollars) of purchasing a pool membership from the Aquatics Club,

Let S represent the total cost of purchasing a pool membership from the Swimming Hole.

Then we can write the following system of inequalities:

A = 75 + 20x (total cost of Aquatics Club membership)

S = 15 + 65x (total cost of Swimming Hole membership)

Alfonso has no more than y dollars to spend

So, we have

75 + 20x ≤ y

15 + 65x ≤ y

Hence, the system is 75 + 20x ≤ y and 15 + 65x ≤ y

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Answer:

x1= -2

x2= 6

Step-by-step explanation:

x^2-4x-12=0

x^2+2x-6x-12=0

x(x+2)-6(x+2)

(x+2)*(x-6)

one solution

x+2=0

x=-2

other solution

x-6=0

x=6

To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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fractions with the same denominator added together

You must add the numerators and keep the same denominator when adding fractions with the same denominator. Since the denominators of the two fractions are the same, we must add the numerators while maintaining the same denominator, which is 4.

What are the parts of fraction?

A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line.

The number below the bar is called the denominator . It tells the number of equal parts into which the whole has been divided. The number above the bar is called the numerator. It tells how many of the equal parts are being considered.

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