Samuel needs to mail a package to his friend in New York. He places an address label with length represented by the function L(w) = 3x³ + 2x² - 4x + 5 and width represented by the function w(x) = x + 2. Which of the following statements is true about the area of the label? Select all that apply.
1. A(x) = L(x) + w(x)


2. The resulting polynomial for a(x) will be a 4th degree polynomial


3. L(x)=A(x) divided by w(x)


4. The resulting polynomial for A(x) will have a leading coefficient of 6


5. A(x) = L(x) * w(x)

I know what the answers are its B,C,D but i need work showing how I got to that conclusion

Answer:

range is 525-140=385

The mean of a set of numbers is the sum divided by the number of terms. Mean= 226

Step-by-step explanation:

hope that helper, have a good one

Range = 525 - 140 = 385

Mean =

[tex](140 + 140 + 163 + 174 + 195 + 254 + 525) \div 7 = 226[/tex]

Answer:

a) P [X ≥ 30 ] =  0,8413      or    84,13%

b)  P [X < 24]  = 0,0228      or    2,28 %

c) P [ 24 < X < 48 ]   =  0,9544     or   95,44%

Step-by-step explanation:

z = ( X - μ₀ )/σ

μ₀ the mean ( average no. of months that an employee stay in a factory)

σ standard deviation

a) P [X ≥ 30 ] = 1 -  P [X < 30 ]

P [X < 30 ]

We look for z (score)

z = ( X - μ₀ )/σ      ⇒  z =  30 - 36 / 6

z = - 1

From z table we get for -1  

P [X < 30 ] = 0,1587

And

P [X ≥ 30 ] = 1 -  P [X < 30 ]  ⇒        P [X ≥ 30 ] = 1 - 0,1587

P [X ≥ 30 ] =  0,8413      or    84,13%

b) P [X < 24]

z (score) = ( 24 - 36 ) / 6

z( score) = -2

And from z table we get:

P [X < 24]  = 0,0228      or    2,28 %

c) P [ 24 < X < 48 ]    is  P[X ≤ 48] -  P[X ≤ 24]

P [X < 48]

s (score) = 48 - 36 / 6      ⇒   z = 2

P [X < 48] = 0,9772

Then

P [ 24 < X < 48 ]   = 0,9772  - 0,0228

P [ 24 < X < 48 ]   =  0,9544     or   95,44%

Answer:

Buns VI jdgsjs ssndbssbhejdjeejsgejeoe

Step-by-step explanation:

Bdnee Ded modi’s no rhenxns hi s in dndn

Answer:

Rene Descartes was a philosopher and he loved math and science. He was French.

Step-by-step explanation:

Answer:

[tex] \sqrt{170} [/tex]

Answer:

No, Because it has 2 endpoints lines travel forever in both directions

Step-by-step explanation:

Answer:

D. No, it has two end points.

Step-by-step explanation:

A line is something that extends indefinitely in one or both directions.

Answer:

reste 10 de r, luego reste 4

Step-by-step explanation:Lets say the result is x x is a letter driving from spain so x=Spanish so translating that sentence to spanish is easy

Answer:

-r+6

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

55 + 20 + x = 180

Answer: Additive Inverse

Step-by-step explanation: The Additive Inverse tells us that if we add

a number and the opposite of that number, the result will be 0.

Answer:

.25 cents

Step-by-step explanation:

Sandwich = x

cookie = x-5

x + (x-5) = 5.50

x + x -5 = 5.50

2x = 10.50

sandwich=$5.25

cookie = (5.25) - 5

cookie = $.25

Answer: X is 107.5

Step-by-step explanation:

Answer:

107.5

Step-by-step explanation:

Multiply 10.75 by 10 to get the value of x.

Hope this helps!

Answer:

C ( 27, 4 )  number of ways

Step-by-step explanation:

number of coins in piggy bank = 23

x1 = number of pennies

x2 = number of nickels

x3 = number of dimes

x4 = number of quarters

x5 = number of half dollars

The required condition = 23

The required different combinations can be represented as

=  C ( 5 + 23 - 1 , 23 ) = C ( 27 , 23 )

                                  = C ( 27, 4 )

This is because :( C ( n, r ) = C (n, n-r ))

The remainder from the given division is 0.

Given that, 24 divided by 4 is 6.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here,

4|24|6

  24

______

    0

So, the remainder is 0.

Therefore, the remainder from the given division is 0.

To learn more about the division visit:

https://brainly.com/question/1575906.

#SPJ6

Answer:

im very confused aadly

Answer:

Yes

Step-by-step explanation:

For ease, let's multiply these by 10,000.

0.09 • 10,000 = 900.00 = 900

0.0003 • 10,000 = 3.00 = 3

900 is clearly greater than 3. Therefore, 0.09 is greater than 0.0003.

Answer:

[tex](3.5,0.5)[/tex]

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]

Simply plug in your coordinates into the midpoint formula to find midpoint:

P(5, -3)

Q(2, 4)

[tex](\frac{5+2}{2},\frac{-3+4}{2} )[/tex]

[tex](\frac{7}{2},\frac{1}{2} )[/tex]

[tex](3.5,0.5)[/tex]

Answer:

Y=4

Step-by-step explanation:

Answer:

Y=4

Step-by-step explanation:

Answer:

y + 3x = - 20

Step-by-step explanation:

x - 3y + 25 = 0

- 3y = - 25 - x

3y = 25 + x

y = ( 25 + x )/3

y = ( 1/3 )x + 25/3

Y= mX+ c

m= gradient= 1/3

The perpendicular gradient should be the negative reciprocal of the gradient we have now.

which is : -1÷(1/3) = -3

Now for the perpendicular line equation, we have:

y = 1

x= 7

m= -3

y - y1 = m ( x - x1 )

y - 1 = -3 ( x + 7 )

y-1 = -3x -21

y + 3x = -20

Answer:

I belive it is the theme that is the most affected.

Step-by-step explanation:

Answer:

answer is the setting!!!!!!!!!!!!!!!!!!!!!

Answer:

0.0438 kg

Step-by-step explanation:

We are given;

Potential energy; U = 860 J

Height; h = 2 km = 2000 m

Formula for potential energy is;

U = mgh

Where g is acceleration due to gravity = 9.81 m/s²

Thus;

860 = m × 9.81 × 2000

m = 860/(9.81 × 2000)

m = 0.0438 kg

Answer: ​△ABC​ is congruent to △DEF because △ABC can be mapped to △DEF by a translation 5 units down followed by a reflection across the x-axis.

Step-by-step explanation: By moving the shape down 5 units, you are met with DEF. You then mirror it (reflect) across the y axis.

Answer:

The set of all points that are 10 units from the origin is the circle centered at (0,0) with radius 10, which has equation  

x2 + y2 = 100.

So, if the y-coordinate is -6, then x2 + 36 = 100.

 x2 = 64

 x = ±8

The points are (8,-6) and (-8,-6).

Answer:

1.   [tex]n: n^3 > 0[/tex] is not true for negative integers

2.  [tex]45\ and\ 45[/tex] show that all angles do not have different measure

3.  [tex]Fraction = \frac{1}{3}[/tex]

Step-by-step explanation:

Solving (1):

[tex]n: n^3 > 0[/tex]

Take

[tex]n = -1[/tex]

[tex]-1^3 = -1[/tex]

[tex]n: n^3 > 0[/tex] is not true for negative integers

Solving (2):

The angles of a right angled triangle are:

[tex]45, 45\ and\ 90[/tex]

[tex]45\ and\ 45[/tex] show that all angles do not have different measure

Solving (3):

When

[tex]Bills = 48[/tex]

[tex]Counterfeit = 16[/tex]

The fraction is calculated as thus:

[tex]Fraction = \frac{Counterfeit}{Bills}[/tex]

[tex]Fraction = \frac{16}{48}[/tex]

[tex]Fraction = \frac{1}{3}[/tex]

Similarly, when

[tex]Bills = 39[/tex]

[tex]Counterfeit = 13[/tex]

[tex]Fraction = \frac{Counterfeit}{Bills}[/tex]

[tex]Fraction = \frac{13}{39}[/tex]

[tex]Fraction = \frac{1}{3}[/tex]

Answer:

57%

Step-by-step explanation:

because percentages go up to a hundred so 57 would be 57%.

Answer:

57%

Step-by-step explanation:

The answer is 57%. The reason is because when we are talking about percentage, it always out of 100. 57 out of 100, you would make that into a fraction so it would be 57/100. You would then divide 57/100 to get 0.57. Move the decimal two places to the right to get 57%.

Answer:

See below

Step-by-step explanation:

Note: missing graph is attached

A) The two points are:

B) Slope formula: m = (y2-y1)/(x2-x1)

C) Point-slope formula:

Using one of the points we get:

D) Delivery time on Day 0:

Delivery time decreases by the value of the slope which is 4 minutes per day

Step-by-step explanation:

Two lines that are parallel have the same slope. If we make [tex]x - 3y = 15[/tex] in to slope-intercept form it'll be like this:

[tex]x - 3y = 15 \\ -3y = 15 - x \\ y = \frac{15 - x}{-3} \\ y = \frac{1}{3}x - 5[/tex]

Now we know [tex]y = \frac{1}{3}x - 5\\[/tex] as its slope-intercept form we can see the slope is [tex]\frac{1} {3}\\[/tex].

[tex]y = \frac{1}{3}x + 4\\[/tex] has the same slope as [tex]y = \frac{1}{3}x - 5\\[/tex] so they are both parallel.

[tex]y = \frac{1}{3}x + 4\\[/tex]

We know that:

h(x) = 2x - 1

g(x) = 3x + 1

We are trying to find h(x) / g(x)

(h/g) (x) = (2x - 1) / (3x + 1)

This is simplest form.

Answer:

-pi/6

Step-by-step explanation:

Answer:

-pi/6 c

Step-by-step explanation: