There is an ample supply of identical blocks (as shown). Each block is constructed from four 1 × 1 × 1 unit-cubes glued whole-face to whole-face. What is the greatest number of such blocks that can be packed into a box that is 6 units tall, 7 units wide, and 8 units deep without exceeding the height of the box?

Given the zeros of a polynomial, you can very easily write it -- first in its factored form and then in the standard form. Subtract the first zero from x and enclose it in parentheses. This is the first factor. For example if a polynomial has a zero that is -1, the corresponding factor is x - (-1) = x + 1.

Answer:

Subtract the first zero from x and enclose it in parentheses. This is the first factor. For example if a polynomial has a zero that is -1, the corresponding factor is x - (-1) = x + 1.

Raise the factor to the power of the multiplicity. For instance, if the zero -1 in the example has a multiplicity of two, write the factor as (x +1)^2.

Repeat Steps 1 and 2 with the other zeros and add them as further factors. For instance, if the example polynomial has two more zeros, -2 and 3, both with multiplicity 1, two more factors -- (x +2) and (x -3) -- must be added to the polynomial. The final form of the polynomial is then ((x +1)^2)(x +2)(x -3).

Multiply out all the factors using the FOIL (First Outer Inner Last) method to get the polynomial in the standard form. In the example, first multiply (x + 2)(x - 3) to get x^2 + 2x - 3x - 6 = x^2 - x - 6. Then multiply this with another factor (x + 1) to get (x^2 - x - 6)(x + 1) = x^3 +x^2 - x^2 - x - 6x - 6 = x^3 - 7x - 6. Finally, multiply this with the last factor (x + 1) to get (x^3 - 7x - 6)(x + 1) =x^4+x^3-7x^2-7x-6x-6 = x^4 + x^3 - 7x^2 - 13x - 6. This is the standard form of the polynomial.

Answer:

D

Step-by-step explanation:

To solve this you just set the two equations equal to each other and solve for x

-4x+9= -x+6

-3x=-3

x=1

Answer:

Patriot Software

What Is Time and a Half, and Who Qualifies for It?

Mike Kappel Mike Kappelular rate of pay plus

dministrative, or professional job duty.

There is also a test for employees who work in outside sales. If an employee’s primary duty is making sales, they are exempt. The employee must also regularly perform work away from your business. They do not have to meet salary exemption requirements to be exempt.

Nonexempt employees

On the flip side, nonexempt employees:

Do not make at least $35,568 annually

Are not salaried and/or

Do not have exempt job duties (e.g., administrative)

If you have nonexempt employees, you must pay them time and a half (1.5 times) for any hours worked over 40 a week.

There’s a common misconception that paying an employee a salary means they’re exempt from overtime wages. You can have salaried nonexempt employees who are eligible for overtime pay.

Your state may have stricter overtime laws than the FLSA. Check with your state to learn about the overtime laws you need to follow.

How to calculate time and a half

Again, pay nonexempt employees time and a half for any overtime hours they work.

A good chunk of nonexempt employees receive hourly wages instead of a salary. However, because nonexempt employees can be salaried, you must know how to calculate time and a half for both salaried and hourly employees.

Hourly employees

Let’s say you have a nonexempt hourly employee who earns $12 per hour. During the last workweek, the employee worked 45 hours (40 regular hours + 5 overtime hours).

To calculate time and a half for the hourly employee, follow these steps:

Calculate the employee’s regular earnings

Find the time and a half pay rate (1.5 x Regular Hourly Wage)

Multiply the overtime rate by the number of overtime hours

Add together the regular and overtime wages

To find the employee’s regular earnings, multiply their regular pay rate ($12) by 40 hours.

$12 X 40 = $480 in regular wages

Next, calculate the employee’s time and a half pay rate. Multiply 1.5 by the employee’s regular rate of pay.

1.5 X $12 = $18 per hour of overtime

Multiply the overtime rate from above ($18) by the number of overtime hours the employee worked during the week.

$18 X 5 = $90 of overtime pay

Last but not least, add the employee’s regular wages and overtime pay together to find the employee’s total wages. You owe the employee $570 in total gross wages ($480 + $90).

If your employee has multiple pay rates for different jobs within your company, you must calculate weighted overtime for their wages.

Salaried employees

When it comes to calculating time and a half for salaried employees, there are two methods you can use. The method you use depends on if the employee receives a salary that covers a fixed number of hours or if they receive a salary that covers all worked hours (aka fluctuating workweek).

Salary with fixed hours

For a salaried employee with fixed hours, use these steps:

Calculate the employee’s regular hourly rate

Calculate the employee’s regular earnings

Find the time and a half pay rate (1.5 x Regular Hourly Wage)

Multiply the overtime rate by the number of overtime hours

Add together the regular and overtime wages

Say your salaried employee earns $1,000 per week. You expect the employee to work 34 hours this week, but they wind up working 45.

This is not intended as legal advice; for more information, please click here.

Categories: Payroll

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Answer:

True

Step-by-step explanation:

Answer:1 is the remainder hope it helps

Answer:

This is pretty easy the dividend is 34,465 and the divisor is 6 and whatever the answer is will be the quotient

Step-by-step explanation:

hope this helps :>

Answer:

the answer is 12

Step-by-step explanation:

edg 2021

The length of the side LJ of triangle ΔJKL can be obtained as 12 units. The correct option is (C).

A triangle is a two dimensional shape bound by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

As per the given question, O is the midpoint of LK.

Then, LO = OK.

The equation can be written as,

⇒ 2x = x + 8

⇒ x = 8

Then, NJ = 8 - 2 = 6

Since, N is also the midpoint of LJ.

LJ = 2 × NJ

⇒ LJ = 2 × 6 = 12.

Hence, the length of the side LJ can be found as 12 units.

To know more about triangle click on,

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#SPJ2

Answer:

3.25

Step-by-step explanation:

Answer:

10 handshakes.

Step-by-step explanation:

I don't know how to explain this, sorry :)!

Answer:

-5/2

Step-by-step explanation:

for perpendicularity;

[tex]m1 = \frac{ - 1}{m2} [/tex]

where m1 is first slope

and m2 is second slope

so here, let m1 be green line slope

and m2 be red line slope

thus,

[tex]m2 = \frac{ - 1}{m1} [/tex]

[tex]m2 = \frac{ - 1}{ \frac{2}{5} } = - 1 \div \frac{2}{5} [/tex]

[tex] = - 1 \times \frac{5}{2} = \frac{ - 5}{2} [/tex]

Answer: B it seems like

Answer:

A

Step-by-step explanation:

We can see that the y intercept is equal to 1

which means that we have the following equation

mx+1=y

We just need to solve for m at this point

We can use the ordered pair (-2,2) to help

We know that

-2m+1=2

Solve for m

-2m=1

m= -1/2

Put this together and we get

-1/2m+1=y which is A

Answer:

y=-2x-3

Step-by-step explanation:

Answer:

2/5 is fraction form.

0.4 is decimal form btw.

Answer: 50.00 - 2.50 each week

Answer:

Step-by-step explanation:

First label the x axis as "Time (Weeks)" and y axis as "money in the bank account". The x axis should go by 1. As in the squares being, 1,2,3, etc. The y axis should go by 5's and end at 50. Plant a dot at coordinates (0,50) and continue by subtracting $2.5 per week. So the next coordinates should be (1, 47.5). In the end, there should be $25 left in the account (after using all of the boxes).

The perimeter of the rectangle is 8 units

The coordinates of the rectangle is given as:

[tex]A = (-6,-4)[/tex]

[tex]B = (-4,-4)[/tex]

[tex]C = (-4,-2)[/tex]

[tex]D = (-6,-2)[/tex]

Start by calculating the distance between the vertices using the following distance formula

[tex]d=\sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]

So, we have:

[tex]AB=\sqrt{(-6 --4)^2 + (-4 --4)^2}[/tex]

[tex]AB=\sqrt{4}[/tex]

[tex]AB=2[/tex]

[tex]BC=\sqrt{(-4 --4)^2 + (-4 --2)^2}[/tex]

[tex]BC=\sqrt{4}[/tex]

[tex]BC=2[/tex]

[tex]CD=\sqrt{(-4 --6)^2 + (-2 --2)^2}[/tex]

[tex]CD=\sqrt{4}[/tex]

[tex]CD=2[/tex]

[tex]DA=\sqrt{(-6 --6)^2 + (-2 --4)^2}[/tex]

[tex]DA=\sqrt{4}[/tex]

[tex]DA = 2[/tex]

So, the perimeter of the rectangle is:

[tex]P =AB + BC + CD + DA[/tex]

This gives

[tex]P= 2 + 2+2+2[/tex]

[tex]P= 8[/tex]

Hence, the perimeter of the rectangle is 8 units

Read more about perimeters at:

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Step-by-step explanation:

Given \:number (m) = £ 490Givennumber(m)=£490

Increase (g) = 11\%Increase(g)=11%

\begin{gathered} \red{ Required \:number } \\= m\Big( \frac{(100+g)}{100} \Big)\\= 490\Big(\frac{100+11}{100}\Big)\\= 490 \times \frac{111}{100} \\= 490 \times 1.11 \\= £ 543.9 \end{gathered}

Requirednumber

=m(

100

(100+g)

)

=490(

100

100+11

)

=490×

100

111

=490×1.11

=£543.9

Therefore.,

\red{ Required \:number }\green { = £ 543.9}Requirednumber=£543.9

•••♪

Answer:

£543.90

Step-by-step explanation:

You have to add 2 and nothing

Answer:The answer is 0.94 cent each

Step-by-step explanation:

if you divide 5.64 into 6 it will give you the conclusion 0.94 for eache pencil.

Answer:

697 marbles

Step-by-step explanation:

We know:

Briley- 374 marbles

Joey- 374*4

Carson- (374*4)-799

Solve:

374*4= 1496 (This is how many Joey has)

1496-799= 697 (This is how many Carson has)

Hope this helps!

Answer:

(2,-1)

Step-by-step explanation:

If you plug each answer into the equation, (2,-1) is the only answer that makes the equation true. Hope this helps!

Answer is attached to the picture

hope this helps

Can I have the brainliest please?

Answer:

8mm

Step-by-step explanation:

A cube with 2mm is 8mm

Answer:

Its depends on the shape of the container. If its a cube then it is 8mm

Step-by-step explanation:

to find volume, its length x width x height so

2mm x 2mm x 2mm = 8mm

Answer: 180

Step-by-step explanation:

When added together, Interior angles of a triangle are always equal to 180 degrees.

Answer:

∠FHG=120°

Step-by-step explanation:

first you calculate the angles of the triangle NGH

this is isoceles triangle, so there's 2 equal angles

and as shown, the 2 same angles are having 2 lines in each one, this 2 lines represents that the 2 angles are same

so both are 20°

any triangle has a sum of 180° of interior angles

so 180-(H+G)=the angle below N

180-(20+20)=140°

the angle below N is same as N because they're vertically opposite

140 is an exterior angle

and the exterior angle is equal to the 2 far angles

140=40+∠FHN

140-40=100°

so ∠FHN=100°

∠FHN+∠NHG=∠FHG

100+20=120°

so ∠FHG=120°

Answer:

What is her pace?

Step-by-step explanation:

Find her pace, then do 88/p to find how many miles she can run.

If her pace is 11 minute/mile, then she can run 8 miles.

8*11=88

Answer:

The variable k changes as the focal point of the circle moves vertically.

Step-by-step explanation:

Answer:  The variable k changes as the center of the circle moves vertically. The sign of k is positive when the center is below the x-axis and negative when it is above the x-axis. The sign of the variable k flips when the center moves across the x-axis.

Step-by-step explanation: plato/edmentum answer!

hope this helps! :)

Answer:

54°

Step-by-step explanation:

The angles inside of a triangle will equal a sum of 180. So you use the equation X= 180-(80+46)

please brainliest

Answer:

y-6=4(x+3)

Step-by-step explanation: