Why does my explosive diarrhea have 300 different colors?

Given:

[tex]f(x)=x^3+4x^2+5x+2,k=-2[/tex]

To find:

The the given function in the form [tex]f(x)=(x-k)q(x)+r[/tex].

Solution:

We have,

[tex]f(x)=x^3+4x^2+5x+2[/tex]

The coefficients of f(x) are 1, 4, 5, 2.

Divide the given function by (x+2) by using synthetic division as shown below:

-2 | 1        4           5         2

              -2         -4        -2

_____________________

      1        2          1           0

_____________________

Bottom row represent the quotient and last element of the bottom row is the remainder.

Degree of the function is 3 and the degree of division is 1. So, the degree of the quotient is 3-1 = 2.

So, the quotient is [tex]x^2+2x+1[/tex] and the remainder is 0.

Now,

[tex]f(x)=(x-k)q(x)+r[/tex]

Here, q(x) is the quotient and r is the remainder.

[tex]f(x)=(x-k)(x^2+2x+1)+0[/tex]

Therefore, the required answer is [tex]f(x)=(x-k)(x^2+2x+1)+0[/tex].

Answer:

A

Step-by-step explanation:

Answer:

1)The sample mean is the point estimate for the starting salary of the graduates which is $32,000

2) at 95%, confidence interval for the average salary of all graduates is  ( 31525.13, 32474.87 )

3) Margin of Error E = 474.87

4) at 99%, confidence interval  is ( 31328.54, 32671.46 ).

5) the probability of error will be affected  

Step-by-step explanation:

Given the data in the question;

1) the point estimate for the starting salary of the graduates?

The sample mean is the point estimate for the starting salary of the graduates which is $32,000

2) the 95% confidence interval for the average salary of all graduates?

given that;

mean x' = $32,000

standard deviation σ = $5000

sample size n = 300

∝ = 1 - 95% = 1 - 0.95 = 0.05

∝/2 = 0.05/2 = 0.025  

Z Critical value [tex]Z_{\alpha /2[/tex] = 1.6449 ≈ 1.645

so, 95% confidence interval for the average salary of all graduates will be;

⇒ x' ± Margin of Error

Margin of E =  [tex]Z_{\alpha /2[/tex] ( σ/√n )

we substitute

E =  1.645( 5000/√300 )

E = 1.645( 288.675 )

E = 474.87

so

x' ± Margin of Error

32000 ± 474.87

⇒ 32,000 - 474.87, 32,000 + 474.87

⇒ ( 31525.13, 32474.87 )

Therefore, 95% confidence interval for the average salary of all graduates is  ( 31525.13, 32474.87 )

3) the value of the Maximum Tolerable Error for the above confidence interval?

This is simply the Margin of Error,

Margin of Error E = 474.87

4)

If the level of confidence changes to 99%, and all other variables remain unchanged, what will happen to the confidence interval?

at 99% confidence level;

∝ = 1 - 99% = 1 - 0.99 = 0.01

∝/2 = 0.005

[tex]Z_{\alpha /2[/tex] = 2.326

∴ confidence interval will be;

⇒ 32000 ± [tex]Z_{\alpha /2[/tex] ( σ/√n )

we substitute

⇒ 32000 ± 2.326( 5000/√300 )

⇒ 32000 ± 2.326( 288.675 )

⇒ 32000 ± 671.458

⇒ 32000 - 671.458, 32000 + 671.458

⇒ ( 31328.54, 32671.46 )

Therefore, at 99%, confidence interval  is ( 31328.54, 32671.46 ).

5)  If the number of graduates returning the survey changes from 300 to 700 and all other variables remaining unchanged, the probability of error will be affected  

Step-by-step explanation:

[tex]gradient \: = \: \frac{y2 - y1}{x2 - x1} [/tex]

y2 = y , x2 = 5

y1 = 2 , x1 = 3

[tex] - 2 \: = \: \frac{y - 2}{5 - 3} [/tex]

-4 = y-2 ==> y = -2

Answer:

y=-2

Step-by-step explanation:

For a line containing the points (X1,Y1) and (X2,Y2), the gradient/slope is equal to (Y2-Y1)/(X2-X1).

Therefore for a line with gradient -2 and points (3,2) and (5,y), we can say:

-2=(y-2)/(5-3)

-2(2)=y-2

y=-4+2

y=-2

Answer:

22

Step-by-step explanation:

2x-13=9

2x-13-9=0

2x-22=0

2x=22

x=11

Answer:

37 km

Step-by-step explanation:

Answer:

37kph

Step-by-step explanation:

518/14=37

Answer: you forgot attachment

Step-by-step explanation:

Answer: 11/23

Step-by-step explanation:

I used my calculator to convert those fractions into decimal form and found the biggest number. It was about 0.4789.

The largest fraction will be 11/23.

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

All the fractions are,

⇒ 9/19, 5/11, 7/15, and 11/23

Now,

Since, All the fractions are,

⇒ 9/19, 5/11, 7/15, and 11/23

Here, The values are,

⇒ 9 /19 = 0.47

⇒ 5/11 = 0.45

⇒ 7/15 = 0.46

⇒ 11/23 = 0.48

Thus, The largest value of the fraction = 11/23

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ2

Answer: D do all of the above and you will get good grades

Step-by-step explanation:

Answer:

÷3==533740£; ok8iejeoeoeo

Answer:

Answer:

decimal form is 373.55056

Step-by-step explanation:

multiply (9\89) x 490 in a calculator

you should get (4410\89) then add 324

you'll get another fraction (33246\89)

put that in a calculator and use the double arrow button (if you have it)

it looks like this in a way ( <||>)

I hope this help unless its too late.

If i'm too late i'm sorry I was in class when my computer died

Answer:

19.5

Step-by-step explanation:

The 43rd term of the sequence is 19.5

Answer:

its 8 i belive

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

https://youtu.be/WYNfQabLpuk

Answer:

21.15

Step-by-step explanation:

700 + 5 = 705

3% of 705 = 21.15

Step-by-step explanation:

by choosing from the sophomores or by choosing from the freshmen

Answer:

Step-by-step explanation:

There are:

The president must be a senior.

The assistant must not be a freshman.

The accountant can be anyone.

Number of ways to pick officers:

Answer:

29.2 and 60.8  

Step-by-step explanation:

x° + x° + 31.6° = 90°

2x + 31.6 = 90

2x = 58.4

x° = 29.2°

90° - 29.2° = 60.8°

29.2 and 60.8

Answer:

24.8!

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

First divide 3 from both sides.

Then minus 8 which makes it 0.

Finally, pull the x to the other side giving you x=4

Answer: y=-20,:x=-2

PLEASE MARK BRAINLIEST

Answer:

x=-2

y=-20

Step-by-step explanation:

y=10x

y=2x-16

10x=2x-16

-2x -2x

8x=-16

/8 /8

x=-2

y=10x

y=10(-2)

y=-20

Answer:

The triangles are not similar.

Step-by-step explanation:

Given

[tex]\triangle IGF[/tex] and [tex]\triangle MNL[/tex]

See attachment for triangles

Required

Determine if both triangles are similar or not

From the attached triangles, the corresponding sides are:

IG & MN and GF & NL

Where

[tex]IG = 12[/tex]         [tex]MN = 14[/tex]

[tex]GF = 16[/tex]        [tex]NL = 18[/tex]

For both triangles to be similar, the following equivalent ratios must be equal.

[tex]\frac{IG}{MN} = \frac{GF}{NL}[/tex]

[tex]\frac{12}{14} = \frac{16}{18}[/tex]

[tex]\frac{6}{7} \ne \frac{8}{9}[/tex] -- since both ratios are not equal, then the triangles are not similar

Answer:

$1200

Step-by-step explanation:

There are 2 ways I immediately think about to solving the problem.

1) You multiply 30 and 200 , then multiply the product by .2 (i.e. 20%)

This way, you'll find out what the total amount was($6,000), then you multiply it by your commission rate.(.2 or 20%) to find your total profit($1,200).

2) You multiply 200 by .20 , then multiply the product by 30.

This way, you'll find out what your commission would be for a single item($40), then multiply by the total items sold (30) to find your total profit($1,200).

Answer:

$1200

Step-by-step explanation:

30*200 = 6000

6000 * 20% = 1200

Answer:

Step-by-step explanation:

Find 10% of Sandra’s height then find 8% of Pablo’s height, then combine. 4 feet 9 inches.

Answer:

9:50 A.M.!

Step-by-step explanation:

7 HRS +2 HRS = 9 HRS

30 MINS + 20 MINS = 50 MINS

Answer:

16x - 1/50x

Step-by-step explanation:

Answer:

each friend gets 5 candies.

Step-by-step explanation:

ok, let's list the basics.

for this question we need to use division.

60 ÷ 12 = 5

i really hope this helped, if you have any questions feel free to ask

good luck my friend!

-cheesetoasty