What is the graph of the function rule?
y = |3x| - 1

Answer:

800

Step-by-step explanation:

= 2 (13 x 11 + 11 x 11 + 11 x 13 )

= 2 (143 + 121 + 143)

= 2 x 407

= 814 inch^2

nearest hundred = 800

80, answer = 800 inch^2

After deducting the amounts for Federal tax, Social Security, and other deductions, the net pay for working 40 hours at an hourly wage of $8.95 is $276.61. Option A.

To calculate the net pay, we need to subtract the deductions from the gross pay.

Given:

Hours worked = 40

Hourly wage = $8.95

Federal tax deduction = $35.24

Social Security deduction = $24.82

Other deductions = $21.33

First, let's calculate the gross pay:

Gross pay = Hours worked * Hourly wage

Gross pay = 40 * $8.95

Gross pay = $358

Next, let's calculate the total deductions:

Total deductions = Federal tax + Social Security + Other deductions

Total deductions = $35.24 + $24.82 + $21.33

Total deductions = $81.39

Finally, let's calculate the net pay:

Net pay = Gross pay - Total deductions

Net pay = $358 - $81.39

Net pay = $276.61

Therefore, the net pay for 40 hours worked at $8.95 an hour with deductions for Federal tax of $35.24, Social Security of $24.82, and other deductions of $21.33 is $276.61. SO Option A is correct.

For more question on deductions visit:

https://brainly.com/question/29307306

#SPJ8

Note the correct and the complete question is

What is the net pay for 40 hours worked at $8.95 an hour with deductions for Federal tax of $35.24, Social Security of $24.82, and other deductions of $21.33?

A.) $276.61

B.) $326.25

C.) $358.00

D.) $368.91

Answer:

10.8 mi

Step-by-step explanation:

Picture a right triangle with legs 9 mi and 6 mi.  Applying the Pythagorean Theorem (d² = a² + b²), we get:

(9 mi)² + (6 mi)² = 117 mi²

This is the square of the hypotenuse (the desired distance).

Taking the square root of both sides, we get d = √(117 mi) ≈ 10.8 mi = d

The desired straight line distance traveled is 10.8 mi

Answer:

b

Step-by-step explanation:

sorry if wrong

Answer:

the amswer is c

Step-by-step explanation:

Answer:

I think B is right answer

The solution to the system of equations is: x = 10/3 and y = -5/3

To solve the system of equations by elimination, we want to eliminate one of the variables (x or y) by adding or subtracting the two equations.

In this case, we can eliminate y by multiplying the first equation by -5 and the second equation by 3, then adding them together:

-5(y = -3x+5) → -5y = 15x - 25

3(y = -8x+25) → 3y = -24x + 75

Adding the two equations gives:

-2y = -9x + 50

Now we can solve for y:

y = (9/2)x - 25

To find x, we substitute this expression for y into one of the original equations. Let's use the first equation:

y = -3x+5

(9/2)x - 25 = -3x + 5

Solving for x gives:

x = 10/3

Therefore, the solution to the system of equations is: x = 10/3 and y = -5/3

Learn more about expression

https://brainly.com/question/14083225

#SPJ4

The simplified expression of 1+sin^2-cos^x / 2sin^2x  issin^2(x) / 2(1 + cos(x)) + 1 / 2(1 - cos(x))

To simplify this expression, we can first simplify the numerator by combining the terms inside the parentheses:

1 + sin^2(x) - cos(x) = sin^2(x) + 1 - cos(x)

Next, we can factor the denominator trigonometric identity sin^2(x) + cos^2(x) = 1:

2 sin^2(x) = 2(1 - cos^2(x)) = 2 - 2cos^2(x)

Now we can substitute these simplified expressions into the original expression:

(1 + sin^2(x) - cos(x)) / (2 sin^2(x))

= (sin^2(x) + 1 - cos(x)) / (2 - 2cos^2(x))

= [(1 - cos(x)) + sin^2(x)] / [2(1 - cos(x))(1 + cos(x))]

1+sin^2-cos^x / 2sin^2x = [sin^2(x) / 2(1 + cos(x))] + [1 / 2(1 - cos(x))]

Learn more on trigonometric identity here;

https://brainly.com/question/24496175

#SPJ1

Answer:

10 minuets 225

20 minuets 375

Step-by-step explanation:

Answer:

the decimals should line up.

Answer:

press the right arrow 3 times

Step-by-step explanation:

to properly subtract any numbers the value of the digits need to be in line

Answer:

x +10 =0 (1)

-8x -9y=1 (2)

x=-10 => (2) 80-9y=1 =>y=9

=> x=-10, y=9

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

So first you need to find out how many groups of 6 cups of oatmeal there are. So for this just do 18/6=3

So now you should be able to find the amount of flour by doing 5*3=15

The flour is needed for a big batch of cookies that uses 18 cups of oatmeal would be 15 cups.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

In order to find out how many groups of 6 cups of oatmeal there are.

So, For every 6 cups of oatmeal = 18/6=3

Now,

For 5 cups of flour = 5 x 3 = 15

The flour is needed for a big batch of cookies that uses 18 cups of oatmeal would be 15 cups.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ2

The results are given below.

Two triangles are said to be congruent if all the corresponding sides are equal and all the corresponding angles are equal. The symbol of congruency is '≅'

Consider the first triangles,

Given, L is the midpoint of KN and MP.

To find ΔMKL ≅ΔPNL

Using side-angle-side congruency ,

Here, the corresponding sides , KM and MP, KL and LP are equivalent.

But the angle ∠L is not an included angle.

So this triangles are non congruent.

Consider the next triangles.

BD bisects ∠ABC ∠BAD≅∠BCD

To find ΔABC≅BCD

By side- side-side congruency,

The corresponding sides AB and BD, AD and DC, BD are equivalent.

Therefore this ΔABC≅BCD  proved.

Hence the proof.

Learn more about congruency of triangles here:

https://brainly.com/question/30094434

#SPJ1

Step-by-step explanation:

the square root of -1 is i

i is an imaginary number =√-1

Answer:

1 is the answer

Step-by-step explanation:

Hope this helps

brainliest pls ❤️

Answer:

y = -1/3 x + 7

y = -1/3 x + 6

y = -1/3 x + 4

Step-by-step explanation:

All of these are parallel to the line created on the graph

Answer:

y = -1/3 x + 7

y = -1/3 x + 6

y = -1/3 x + 4

(please tell me if I'm wrong or if I missed something)

Answer: 1/4

Step-by-step explanation: 3/4-1/2= 1/4

We are asked to factor out the expression:

4 x^3 - 10 x

So we extract a factor of "2" from the numerical factors "4" and "10", and also a factor of "x" from each term,leading to:

2 x ( 2 x^2 - 5)

Therefore, please select the first answer option they give you in the list.

Answer:

2.23 inches

Step-by-step explanation:

Difference means subtraction and you subtract the smaller number from the bigger number. 5.38 - 3.15 = 2.23 in.

Answer:

2.23 inches

Step-by-step explanation:

We will subtract 3.15 from 5.38 because the problem is asking for the increase. We will take the new height and subtract the old height to see the difference.

5.38 - 3.15 = 2.23 inches

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

13

Step-by-step explanation:

because wothe the power of God and anime-

There are 10 common characteristics attributed to servant leadership: active listening, empathy, healing, awareness, persuasion, conceptualization, foresight, stewardship, commitment to the growth of people, and community-building.

A Scrum Master is a servant-leader whose focus is on the needs of the team members and those they serve (the customer), with the goal of achieving results in line with the organization's values, principles, and business objectives.

1.  Active listening: Active listening is the practice of preparing to listen, observing what verbal and non-verbal messages are being sent.

2.  Empathy:  the ability to understand and share the feelings of another.

3.  Healing:  the process of making or becoming sound or healthy again.

4.  Awareness:  knowledge or perception of a situation or fact.

5.  Persuasion:  A belief or set of beliefs, especially religious or political ones.

6.  Conceptualization:  The action or process of forming a concept or idea of something.

7. Foresight: The ability to predict or the action of predicting what will happen or be needed in the future.

8. stewardship: The job of supervising or taking care of something, such as an organization or property.

9. Commitment: The state or quality of being dedicated to a cause, activity, etc.

10. Community-building: Community building is a field of practices directed toward the creation or enhancement of community among individuals within a regional area or with a common need or interest.

To learn more about scrum master from the given link:

https://brainly.com/question/4763588

#SPJ4

1. Using Radicals the number √17 has a value of 4.123.

2. √510 =260100.

3. √4x = 2√x.

Simply multiply or divide the numbers at each point where it makes sense to multiply or divide a function. If the functions are specified by formulas, you can simply multiply or divide the formulas (inserting numbers before or after is irrelevant).

When multiplying or dividing, it is standard practise for the final result to contain the same number of significant figures as the number with the fewest significant figures. The division of two numbers can be calculated using the following formula: Dividend Divisor = Quotient + Remainder. The number that is being divided in this case is known as the dividend.

The number that divides the number (dividend) into equal parts is known as the divisor.

1. \(\sqrt{17}\\\) = 4.123 (The values of the number √17 is 4.123.)

2.  √510

= 510^2

=(500+10)^2

=500^2+10^2+2×500×10

=250000+100+10000

=260100.

3. √4x = 2√x.

because 4 = 2*2

Learn more about Radicals Visit: brainly.com/question/1980062

#SPJ4

Answer:

$40.5.

Step-by-step explanation:

if 1/5 of the book costs $13.5. then to find 3/5 you just have to times the answer by 3.

(A) The correlation coefficient between profitability and growth is -0.059, indicating a weak negative relationship between the two variables.

(B) The regression equation for profitability based on growth is: Profitability = 24.916 - 0.383Growth.

a. The correlation coefficient between profitability and growth is -0.059, indicating a weak negative relationship between the two variables. To test the hypothesis that the population correlation is greater than zero, we use a one-tailed t-test with a significance level of 0.05. The test statistic, calculated as t = r√((n-2)/(1-r^2)), where n is the sample size, is -0.413. Since the calculated t-value is less than the critical value of 1.9432, we fail to reject the null hypothesis and conclude that there is insufficient evidence to suggest that the population correlation between profitability and growth is greater than zero.

b. The regression equation for profitability based on growth is: Profitability = 24.916 - 0.383Growth. The negative slope value suggests that there is a negative relationship between profitability and growth, indicating that as sales growth increases, profitability decreases. However, the low R-squared value of 0.004 indicates that only 0.4% of the variability in profitability can be explained by growth, suggesting that other factors may have a greater influence on profitability for these aerospace and defense companies.

Learn more about Correlation:

brainly.com/question/28898177

#SPJ11

The coins in the stack if its height is 1414 mm and the thickness of the coins are penny 1.55 mm, nickel 1.95 mm, dime 1.35 mm, and quarter 1.75 mm is 214.

The thickness of the coins are

Penny 1.55 mm

Nickel 1.95 mm

Dime 1.35 mm

Quarter 1.75 mm

The stack which contains the given coins is 1414 mm high.

Now to find the number of coins we can divide the total thickness of the coins with the height of the given stack.

Total thickness of available coins = 1.55 + 1.95 + 1.35 + 1.75 = 6.6

The total height of stack = 1414 mm

Number of coins in the stack = 1414/6.6 = 214.24

The number of coins are 214

To know more about stack

https://brainly.com/question/15887208

#SPJ4

The confidence interval is 0.039. This means that the value lies between the range of -0.039 and 0.039. Therefore, we can express the confidence interval as the mean plus or minus the margin of error.

This will give us a range in which the true population mean lies.Let's assume that the mean is 0.259. Then the lower limit of the range is given by:Lower limit = 0.259 - 0.039 = 0.22 And the upper limit of the range is given by:Upper limit = 0.259 + 0.039 = 0.298Therefore, the confidence interval is: 0.22 to 0.298Now we can see that option A is the correct answer: 0.259+0.22.

Learn more about confidence interval

https://brainly.com/question/32546207

#SPJ11

If your argument leads to a misleading conclusion, it is probably unsound. It is also conceivable that the argument is sound but has a wrong premise.

If an argument has a faulty conclusion, either the premises are incorrect or the conclusion does not flow logically from the premises. This indicates that the reasoning is flawed.

An argument is deemed sound if all of its premises are true and it is valid (that is, the conclusion flows logically from the premises). Whether or not the conclusion is correct, the argument is flawed if any of the premises are untrue.

As a result, if your argument leads to a misleading conclusion, it is probably unsound. It is also conceivable that the argument is sound but has a wrong premise, in which case it is invalid.

Learn more about misleading here:

https://brainly.com/question/24587013

#SPJ4

The value of m for the complex number to be purely real are 3 and -5.

The value of m for the complex number to be purely imaginary are -2 and 3.

For the complex number to be located in the second quadrant, the value of m must be less than -3 and 5.

Given the complex number:

\(z=\frac{m^2-m-6}{m+3}+(m^2-2m-15)i\)

a) For the complex number to be purely real, then the imaginary part of the complex number must be zero that is:

\((m^2-2m-15)i = 0\\m^2-2m-15=0\)

Factorize

\(m^2+5m-3m-15=0\\m(m+5)-3(m+5)=0\\(m-3)(m+5)=0\\m-3=0 \ and \ m+5=0\\m=3 \ and \ m=-5\)

Hence the value of m for the complex number to be purely real are 3 and -5.

b) For the complex number to be purely imaginary, then the real part of the complex number must be zero. Hence;

\(\frac{m^2-m-6}{m+3}=0 \\m^2-m-6=0\)

Factorize

\(m^2-m-6\\m^2-3m+2m-6=0\\m(m-3)+2(m-3)=0\\(m+2)(m-3)=0\\m+2=0 \ and \ m-3=0\\m=-2 \ and \ m = 3\)

Hence the value of m for the complex number to be purely imaginary are -2 and 3.

c) For the complex number to be in the second quadrant, then the ratio of y to x must be negative i.e less than zero as shown:

\(\frac{m^2-2m-15}{\frac{m^2-m-6}{m+3} } < 0\\ \frac{m^2-2m-15(m+3)}{{m^2-m-6} }\\ \frac{(m+3)(m-5)(m+3)}{{(m-3)(m+2)} } <0\\(m+3)(m-5)(m+3) <0\\m+3<0, m-5<0 \ and \ m+3<0\\m<-3 \ and \ m<5\)

Hence for the complex number to be located in the second quadrant, the value of m must be less than -3 and 5.

Answer:

\(\cos(A + B) = \frac{23}{265}\)

Step-by-step explanation:

Given

\(\tan A=\frac{28}{45}\)

\(\cos B=\frac{3}{5}\)

Required

\(\cos(A+B)\)

In trigonometry:

\(\cos(A+B) = \cos\ A\ cosB - sinA\ sinB\)

We need to solve for cosA, sinA and sinB

Given that:

\(\tan A=\frac{28}{45}\) and the tangent of an angle is a ratio of the opposite side (x) to the adjacent side (y),

So, we have:

\(x =28\) and \(y = 45\)

For this angle A, we need t calculate its hypotenuse (z).

Using Pythagoras,

\(z^2 = x^2 + y^2\)

\(z = \sqrt{x^2 + y^2\)

\(z = \sqrt{28^2 + 45^2\)

\(z = \sqrt{2809\)

\(z = 53\)

From here, we can calculate sin and cos A

\(\sin A= \frac{opposite}{hypotenuse}\) and \(\cos A= \frac{adjacent}{hypotenuse}\)

\(\sin A= \frac{x}{z}\)

\(\sin A= \frac{28}{53}\)

\(\cos A= \frac{y}{z}\)

\(\cos A= \frac{45}{53}\)

To angle B.

Give that

\(\cos B=\frac{3}{5}\) and the cosine of an angle is a ratio of the adjacent side (a) to the hypotenuse side (c),

So, we have:

\(a = 3\) and \(b = 5\)

For this angle B, we need to calculate its opposite (b).

Using Pythagoras,

\(c^2 = a^2 + b^2\)

\(5^2 = 3^2 + b^2\)

\(25 = 9 + b^2\)

Collect like terms

\(b^2 = 25 - 9\)

\(b^2 = 16\)

\(b = \sqrt{16\)

\(b = 4\)

From here, we can calculate sin B

\(\sin B= \frac{opposite}{hypotenuse}\)

\(\sin B = \frac{b}{c}\)

\(\sin B = \frac{4}{5}\)

Recall that:

\(\cos(A+B) = \cos\ A\ cosB - sinA\ sinB\)

and

\(\cos B=\frac{3}{5}\)      \(\sin B = \frac{4}{5}\)       \(\sin A= \frac{28}{53}\)      \(\cos A= \frac{45}{53}\)

\(\cos(A + B) = \frac{45}{53} * \frac{3}{5} - \frac{28}{53} * \frac{4}{5}\)

\(\cos(A + B) = \frac{135}{265} - \frac{112}{265}\)

\(\cos(A + B) = \frac{135-112}{265}\)

\(\cos(A + B) = \frac{23}{265}\)

The value of \(\cos (A+B)\) is \(-\frac{96}{265}\).

Trigonometrically speaking, the sine, cosine and tangent of an angle are described by the following formulas:

\(\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}\) (1)

\(\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}\) (2)

\(\tan \theta = \frac{y}{x}\) (3)

Where:

And we have the following trigonometric identity for the cosine of the sum of angles:

\(\cos (A+B) = \cos A\cdot \cos B - \sin A \cdot \sin B\) (4)

By (1) and (2), we rewrite (4):

\(\cos (A+B) = \frac{x_{A}\cdot x_{B}}{\sqrt{x_{A}^{2}+y_{A}^{2}}\cdot \sqrt{x_{B}^{2}+y_{B}^{2}}} - \frac{y_{A}\cdot y_{B}}{\sqrt{x_{A}^{2}+y_{A}^{2}}\cdot \sqrt{x_{B}^{2}+y_{B}^{2}}}\)

If we know that \(x_{A} = 28\), \(y_{A} = 45\), \(x_{B} = 3\) and \(y_{B} = 4\), then the cosine for the sum of angles is:

\(\cos (A+B) = \frac{28\cdot 3}{\sqrt{28^{2}+45^{2}}\cdot \sqrt{3^{2}+4^{2}}}-\frac{45\cdot 4}{\sqrt{28^{2}+45^{2}}\cdot \sqrt{3^{2}+4^{2}}}\)

\(\cos (A+B) = -\frac{96}{265}\)

The value of \(\cos (A+B)\) is \(-\frac{96}{265}\).

We kindly invite to check this question on trigonometric identities: https://brainly.com/question/24836845

Answer:

First Bike = $190 Second Bike = $212.80

Eliza should buy the first bike

Step-by-step explanation:

Part A

Let's say we measure a board length and we measure 18.639 cm. Now let's say we round to the nearest tenth. That would lead to 18.6 cm. The question is "What is the largest value we can measure such that we round to the nearest tenth to get 18.7 cm?"

Well we could measure 18.7 cm exactly, but there are values we could measure that are larger to round to that value. We could measure 18.71 or 18.72, etc etc all the way up to 18.74; once we get to 18.75, it will round to 18.8

So this means that the largest we can measure is 18.74 and it is the upper bound we're after.

=========================================================

Part B

We use the same idea as part A, but now we're extending out one more decimal place.

We could measure 58.37 cm exactly or we could measure 58.371 or we could do 58.372, etc until we arrive at 58.374

By the time we get to 58.375, it will round to 58.38 and that's not what we're after. So the highest we can go is 58.374 cm