Which sum represents the partial fraction decomposition of 8x^ 4 + 3x^3- 115x^2- 39x+200/ 3x (x^2-10)^2

Answer:

6 students are wearing blue shirts

Step-by-step explanation:

you divide 36 by 6 and that equals 1/6 of the students.

Answer:

A B C F

Step-by-step explanation:

Answer:

A and F

Step-by-step explanation:

Answer:

x=5/2, x=-4/3

Step-by-step explanation:

Answer:

B. 76 square centimeters

Step-by-step explanation:

Edg 2021 it's correct

Answer:

Step-by-step explanation:

b

Answer:

[tex] \frac{3}{4} \times \frac{5}{6} [/tex]

[tex] \frac{3 \times 5}{4 \times 6} [/tex]

[tex] \frac{15}{24} [/tex]

[tex] \frac{5}{8} [/tex]

Answer:

5/8

Step-by-step explanation:

Sorry for the messy handwriting.

Hope this helps! Have a great day!

Answer:

True

Step-by-step explanation:

In the Monte Carlo simulations process, the probability of outcomes is determined on the basis of repeated sampling for the outcomes in a process which can not be determined easily due to several random variables involved in the process. This techniques helps in determining the risk, uncertainty in prediction and forecasting models.

Answer:

18

Step-by-step explanation:

32-14=18

Answer:

Length: 4 feet

Width: 2 feet

Step-by-step explanation:

The only possibilities that could get an area of 8 feet are 4 x 2 and 8 x 1

However, it has to be 4 x 2 because the 8 x 1 dimension won't have a perimeter of 12 feet.

The dimensions of 4 x 2 will have an area of 8 square feet, since 4(2) = 8

It will also have a perimeter of 12 feet because 4 + 4 + 2 + 2 = 12

So, the length is 4 feet and the width is 2 feet

Answer:

Step-by-step explanation:

To find the number of hours for each, divide the amount of money he had received by the amount he would receive for 1 hour of work. (Answers are in the image below) I hope I wasn’t too late to help:)

Answer:

The minimum velocity of the particle  = [tex]-e^{-2 }[/tex] units

Step-by-step explanation:

Given - A particle moves along a horizontal line so that its position at time t,

t ≥ 0, is given by  s(t) = 40 + te^−t/20.

To find - Find the minimum velocity of the particle for 0 ≤ t ≤ 100.

Proof -

Velocity, v(t)  = [tex]\frac{d}{dt}(40 + te^{-\frac{t}{20} } )[/tex]

Now,

[tex]\frac{d}{dt}(40 + te^{-\frac{t}{20} } )[/tex] =  [tex]\frac{d}{dt}(40 ) + \frac{d}{dt}(te^{-\frac{t}{20} } )[/tex]

                       = 0 + [tex]t\frac{d}{dt}(e^{-\frac{t}{20} } ) + e^{-\frac{t}{20} }\frac{d}{dt}(t )[/tex]

                       = [tex]t(-\frac{1}{20} )e^{-\frac{t}{20} } + e^{-\frac{t}{20} }[/tex]

⇒v(t) = [tex]-\frac{t}{20}e^{-\frac{t}{20} } + e^{-\frac{t}{20} }[/tex]

Now,

For minimum velocity, Put [tex]\frac{d}{dt}(v(t)) = 0[/tex]

Now,

[tex]\frac{d}{dt}[v(t)] = \frac{d}{dt} [ -\frac{t}{20}e^{-\frac{t}{20} } + e^{-\frac{t}{20} } ][/tex]

           = [tex]-\frac{2}{20} e^{-\frac{t}{20} } + \frac{t}{400} e^{-\frac{t}{20} }[/tex]

Now,

Put [tex]\frac{d}{dt}(v(t)) = 0[/tex], we get

[tex]-\frac{2}{20} = - \frac{t}{400}[/tex]

⇒t = 40

Now,

Check that the point is minimum or maximum

Calculate  [tex]\frac{d^{2} }{dt^{2} } [v(t)][/tex]

Now,

[tex]\frac{d^{2} }{dt^{2} } [v(t)][/tex] = [tex]\frac{d}{dt} [ -\frac{2}{20} e^{-\frac{t}{20} } + \frac{t}{400} e^{-\frac{t}{20} }][/tex]

            = [tex]\frac{1}{400}e^{- \frac{t}{20} } [ 3 - \frac{t}{20}][/tex]

⇒[tex]\frac{d^{2} }{dt^{2} } [v(t)][/tex]  = [tex]\frac{1}{400}e^{- \frac{t}{20} } [ 3 - \frac{t}{20}][/tex]  > 0

∴ we get

t = 40 is point of minimum

So,

The minimum velocity be

v(40) = [tex]-\frac{40}{20}e^{-\frac{40}{20} } + e^{-\frac{40}{20} }[/tex]

      = [tex]-2e^{-2 } + e^{-2 }[/tex]

      = [tex]-e^{-2 }[/tex]

⇒v(40) = [tex]-e^{-2 }[/tex] units

∴ we get

The minimum velocity of the particle  = [tex]-e^{-2 }[/tex] units

Step-by-step explanation:

When x=36, only the first statement is true (x is a multiple of 3). this is because 12×3= 36

36 is not odd, making the other statement false

Answer:

25

Step-by-step explanation:

middle most common

Answer:

Median is 25

Step-by-step explanation:

Step 1: Organize the data from lowest to highest

-10 10 25 25 25 32 32 32

Step 2: Find the middle number

The two middle numbers would be 25 and 25, so we would take their average which is 25 obviously.

Therefore, the median of the data set is 25

                                                                                                                       .hnsxasy543esx nuyAtre

Answer:

A because when you add the angles up it has to equal 180

Step-by-step explanation:

Answer:

A) ∠ABC and ∠DEF

Step-by-step explanation:

Supplementary angles add up to 180 degrees total. So if you take 180 and subtract 118 you get 62.

∠ABC = 62

∠DEF = 118

180 - 118 = 62

180 - 62 = 118

118 + 62 = 180

Answer: [tex]73^{\circ}[/tex]

Step-by-step explanation:

Angles in a triangle add to 180 degrees.

Answer:

q = 114

Step-by-step explanation:

q/19 > 5

q > 19 * 5 = 95

==> q = 114 works

Answer:

rrerer

Step-by-step explanation:erewqwdqwdqd noo hlp me

Answer:

The vertex is (-1.5, 11.25)

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

Answer:

suppersize my fries...

Answer:

[tex]P(x<810)=0.5[/tex]

[tex]P(x<800) = 0[/tex]

[tex]P(x>808.40) = 0.58[/tex]

[tex]P(x\le805.40\ or\ x\ge 808.40) = 0.85[/tex]

Step-by-step explanation:

Given:

[tex]F(x) = \left\{\begin{array}{ll}{0} &; {x&lt;800^{\circ} \mathrm{C}} \\ {0.05 x-40} &; {800^{\circ} \mathrm{C} \leq x&lt;820^{\circ} \mathrm{C}} \\ {1} &; {x&gt;820^{\circ} \mathrm{C}}\end{array}[/tex]

Solving (a): P(x < 810)

To solve this, we make use of:

[tex]P(x<810) = F(x) = 0.05x - 40[/tex]

Because

[tex]800^\circ C \le 810 \le 820^\circ C[/tex]

So:

[tex]F(x) = 0.05 * 810 -40[/tex]

[tex]F(x) = 40.5 -40[/tex]

[tex]F(x) = 0.5[/tex]

Hence:

[tex]P(x<810)=0.5[/tex]

Solving (b): P(x < 800)

To solve this, we make use of:

[tex]P(x<800) = F(x) = x[/tex]

Because:

[tex]x < 800^\circ C[/tex]

So:

[tex]P(x<800) = 0[/tex]

Solving (c): P(x > 808.40)

Here, we make use of complement rule:

[tex]P(x>808.40) = 1 - P(x \le 808.40)[/tex]

Where:

[tex]P(x\le808.40) = 0.05x - 40[/tex]

[tex]P(x\le808.40) = 0.05*808.40 - 40[/tex]

[tex]P(x\le808.40) = 0.42[/tex]

So:

[tex]P(x>808.40) = 1 - 0.42[/tex]

[tex]P(x>808.40) = 0.58[/tex]

Solving (d) The probability that the temperature lies outside 805.60 and 808.40

First, we calculate the probability that it lies within.

This is represented as:

[tex]P(805.40 < x < 808.40)[/tex]

This is calculated using:

[tex]P(805.40 < x < 808.40) = F(808.40) - F(805.40)[/tex]

[tex]P(805.40 < x < 808.40) = 0.05*808.40-40 - (0.05*805.40-40)[/tex]

[tex]P(805.40 < x < 808.40) = 0.42 - (0.27)[/tex]

[tex]P(805.40 < x < 808.40) = 0.42 - 0.27[/tex]

[tex]P(805.40 < x < 808.40) = 0.15[/tex]

Using complement rule, the required probability is:

[tex]P(x\le805.40\ or\ x\ge 808.40) = 1 - 0.15[/tex]

[tex]P(x\le805.40\ or\ x\ge 808.40) = 0.85[/tex]

Answer:

12

Step-by-step explanation:

4 times 3 = 12

Answer:

First: 105

Second: 65

Third: 133

Fourth: 129

Fifth: 60

Answer:

44

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

because you take 3 pulse 2

Answer:

5+4=9

and the second one is right

Step-by-step explanation:

;)

Answer:

the first one is incorrect but the second one is correct!

Step-by-step explanation:

5 + 4 = 9

if you have 5 apples and you want to add 4 more

5 + 1 + 1 + 1 + 1 = 9

Step-by-step explanation:

I hope this helps. Ans:41/16 alternate form: 2 9/16, 2.5625

Answer:

Step-by-step explanation:

-4.4 + (5-2)(-6) = -4.4 + (3)(-6) = -4.4 + (-18) = - 22.4

Answer:

C.9

Step-by-step explanation:

2 doz =3eggs

4 doz = 6 eggs

6 doz = 9 eggs