what is (x+2)^4 using binomial theorem and pascal’s triangle?

Answers

Answer 1

Answer:

x 4 +8x 3 + 24 x 2 + 32 x + 16

Step-by-step explanation:


Related Questions

I WILL GIVE BRAINLIEST !!!What is the product of 4 and 7?
7
O
o
8 9
14
9
14
7
8

Answers

The product of 4 and 7 would be 28!
When someone says the product of x means they are looking to multiply!

Answer:

8? I think I'm not quite sure. lmk

A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 1 of 2: Suppose a sample of 2346 floppy disks is drawn. Of these disks, 1971 were not defective. Using the data, estimate the proportion of disks which are defective. Enter your answer as a fraction or a decimal number rounded to three decimal places.

Answers

Answer:

The proportion of disks which are defective is 0.16.

Step-by-step explanation:

The proportion of defective disks is the number of defective disks in the sample divided by the size of the sample.

In this question:

2346 disks.

1971 not defective, so 2346 - 1971 = 375 defective.

[tex]p = \frac{375}{2346} = 0.16[/tex]

The proportion of disks which are defective is 0.16.

Kenji walks 44 feet in 10 seconds. At this rate, how many miles does Kenji walk in an hour? Show your work. (1 mile 5 5,280 feet) (make it simple)

Answers

Answer:

3 miles

Step-by-step explanation:

1 hour = 3,600 seconds (3,600 ÷ 10 = 360)

360 x 44 = 15,840 Feet

1 mile = 5,280 feet

15,840 feet ÷ 5,280 feet = 3 miles

Kenji walks 3 miles in 1 hour.

Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

If 78% of the total is 156 marks, find the total marks in the test
200
206
176
210

Answers

According to my calculations, the answer to your question is 200 marks.

Find the vertex of the parabola y=2x^2+10x+8​

Answers

Answer:

Step-by-step explanation:

Put the equation into vertex form.

y = 2x² + 10x + 8

= 2(x² + 5x) + 8

= 2(x² + 5x + 2.5²) - 2·2.5² + 8

= 2(x+2.5)² - 4.5

vertex (-2.5, -4.5)

the ages of six boys are given as 12 years 3 months, 18 years, 13 years 7 months, 17 years 2 months 15 years and 14 years respectively. what is their average age? ​

Answers

Answer:

15 years (180 months)

Step-by-step explanation:

turn it into months first

147

216

163

206

180

168

add them together, then divide by how many there are

1,080/6=180 months

180/12 =15

Can someone please help me?

Answers

I will try i had this unit last year, basically the diameter is 5 in this problem, which you multiply by pi (in this case I will use 3.14 as the shortened version since its on-going) which gives you 15.7, then you multiply that by 3 in this problem to get 47.1!

Answer:

Step-by-step explanation:

Volume of a cylinder formula = πr^2h

r (radius) = 5/2 = 2.5

h (height) = 3

Answer: 3π(2.5)^2 = 3π(6.25) = 18.75π cubic units

PLEASE JUST HELP ITS ACTUALLY AN EMERGENCY I WILL GIVE 3K ON BLOXBURG FOR THIS

Answers

cut off the topright rectangle so there are 2 rectangles.

That will make it look like this

2x3=6

            +

5x3=15

            =

21

            The area of that shape would be 21 square feet

21 square ft                                                                                                                                              

u got 3K i only got 1K cuz i be spending it on my house and emotes and food ;-;

                                                                                                                                                                                                                                                                                                                             

Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit. The production group believes that the mean weight has changed. They take a sample of 15 cans and find a sample mean of 12.05 ounces and a sample standard deviation of .08 ounces. What conclusion can we make from the appropriate hypothesis test at the .01 level of significance

Answers

Answer:

We accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.

Step-by-step explanation:

Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit.

This means that the null hypothesis is: [tex]H_0: \mu = 12[/tex]

The production group believes that the mean weight has changed.

This means that the alternate hypothesis is:

[tex]H_a: \mu \neq 12[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

12 is tested at the null hypothesis:

This means that [tex]\mu = 12[/tex]

They take a sample of 15 cans and find a sample mean of 12.05 ounces and a sample standard deviation of .08 ounces.

This means, respectibely, that [tex]n = 15, X = 12.05, \sigma = 0.08[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{12.05 - 12}{\frac{0.08}{\sqrt{15}}}[/tex]

[tex]z = 2.42[/tex]

Pvalue of the test:

We are testing if the mean is different from a value, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.42.

Looking at the z-table, z = 2.42 has a pvalue of 0.9922

1 - 0.9922 = 0.0078

2*0.0078 = 0.0156

What conclusion can we make from the appropriate hypothesis test at the .01 level of significance?

0.0156 > 0.01. This means that at the 0.01 level, we accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.

I Need help plz will give brainlyist for the correct answer

Answers

So the first one is 1 because 2+x=3

(X8.6.PS-12
Question Help
A circular flower bed is 20 m in diameter and has a circular sidewalk around it that is 2 m wide.
Find the area of the sidewalk in square meters. Use 3.14 for it.
The area of the sidewalk is m2.
(Round to the nearest whole number as needed.)
Enter your answer in the answer box and then click Check Answer.
Clear All
Check Answer
All parts showing

Answers

Answer:

area = 138 m²

Step-by-step explanation:

radius of large circle = 12 m

radius of small circle = 10 m

large circle area = πr² = (3.14)(12²) = 452.16 m²

small circle area = πr² = (3.14)(10²) =314 m²

452.16 - 314 = 138.16 m²

Steven paid $60 for 3 cardio dance workout classes. He’s trying to set up an equation to help him find the cost of each class. What should Steven put in the blank of the following equation? c=$___÷3?

Answers

Answer:

c=$60/3.  $20 dollars per class.

Step-by-step explanation:

NO LINKS (QUESTION BELOW)

Answers

Answer:

D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

what is the value of angle x?​

Answers

Answer:

x=66

Step-by-step explanation:

Hello There!

∠BAC ≅ ∠CDB because in a parallelogram opposite angles are congruent

So all we have to do is solver for ∠BAC

Remember the sum of the triangles angles is 180 so to find ∠BAC

we subtract the given angles (83 and 31) from  180

180-83-31=66

so ∠BAC = 66

like stated before

∠BAC≅∠BDC so if ∠BAC = 66 then x also equals 66

Answer:

x = 66

Step-by-step explanation:

x = 66 degree

Pls help. Im so lost.

Answers

Answer:

x = 35 degrees

Step-by-step explanation:

supplementary angles = 180 degrees

m<A + m<B = 180

(2x - 5) + 3x = 180

5x - 5 = 180

5x = 175

x = 35

Can please someone do this❗️

Answers

Answer:

7 is 50 , 8 is84, 9 is 45, 10 is 135, 11 is 155 and 12 is 80

Step-by-step explanation:

P.S 26 is not the answer I tried it I need help :(

Answers

Answer:

52.........................

Answer:

A

Step-by-step explanation:

(2x + 6)° = 32°.........(Alternate angles are equal)

2x° = 32°- 6°

2x° = 26°

x. = 26 ÷ 2

x. =. 13°

PLEASE GIVE BRAINLIEST....

WILL GIVE BRAINLIST PLS HELP Find x. Round your answer to the nearest tenth.

Answers

Answer:

i think x= 13.5

Step-by-step explanation:

Tara and Mallory are practicing their passing at a volleyball practice. Tara bumps the ball from a height of 3 feet above the ground with an initial upward velocity of 12 feet/second. at the same time, mallory serves the ball from a height of 3.25 feet above the ground with an initial upward velocity of 9 feet/second.

if x represents the number of seconds since each ball is passed and y represents the height of the ball, which system of equations models the projectile motion of the two balls? recall that the acceleration due to gravity is -32 feet/second

Answers

Answer:

The system of equation that models the projectile of the two balls is option;

C. y = -16·x² + 12·x + 3

y = -16·x² + 9·x + 3.25

Step-by-step explanation:

The general equation for vertical (upward) motion under gravity is presented as follows;

h - h₀ = u·t + 1/2·g·t²

Where;

h = The final height reached

h₀ = The initial height

u = The initial velocity

g = The acceleration due to gravity ≈ -32 feet/second

t = The time taken

We can rewrite the above equation with different letters for the variables as follows;

h = y,

h₀ = y₀, and

t = x

Therefore, we have;

y - y₀ = u·x - 1/2 × 32 × x²

y = u·x - 1/2 × 32 × x² + y₀ = u·x - 16· x² + y₀

y = u·x - 16· x² + y₀ = -16·x² + u·x + y₀

y = -16·x² + u·x + y₀

For Tara, we have;

u = 12 feet/second

y₀ = 3 feet

Therefore, we get;

y = -16·x² + 12·x + 3

For Mallory, we have;

u = 9 feet/second

y₀ = 3.25 feet

Therefore, we get;

y = -16·x² + 9·x + 3.25

The correct option is therefore;

y = -16·x² + 12·x + 3

y = -16·x² + 9·x + 3.25

Find the lengths of the missing side. Round your answer to the nearest tenth

Answers

Answer:

11.2 cm

Step-by-step explanation:

The missing side = the hypotenuse

Apply pythagorean theorem to find he hypotenuse which is given as:

c² = a² + b³

a = 10 cm

b = 5 cm

c = Hypotenuse (missing side)

(Hypotenuse)² = 10² + 5² = 125

Hypotenuse = √125

Hypotenuse = 11.1803399 ≈ 11.2 cm (nearest tenth)

Sarah is solving for X by the process of completing the square for the following problem..

2x^2+16x-12=0

She got to this point below - type the number that goes in the (?) spot

(x+?)^2=22

Answers

Answer:4

Step-by-step explanation: Since she did it by completing the square, then you must do the same thing to get the same form so you can see what that number is.

So first subtract the constant which is -12 so we need to add twelve to get the constant on the other side. So we now have 2x^2+16x=12

The constant of the x^2 must be 1 so we need to divide by 2 on every term to get x^2+8x=12

So to make it so to get a perfect factor we need to divide the x factor by 2 so we get 4.

So the answer is 4 cause it is a perfect factor so were going to get 4 on both factors.

Answer:

4

Step-by-step explanation:

x²+2(x)(?)+?²=22

multiply by 2 because the coefficient of the higher degree in the first equation is 2

2x²+2(2(x)(?))+2(?²)-2(22)=0

2x²+4x(?)+2?²-44=0

Comparison

4x(?)=16x

?=4

2?²-44=-12

So, 2?²=-12+44

2?²=32

?²=16

?=4

Aretha had 9 pencils. She gave her
sister 1/3 of the pencils. How many
pencils did Aretha give her sister?

Answers

Answer:

3

Step-by-step explanation:

9 divided by 3 is 3

Maximize −4x + 5y + 70 subject to the constraints:

2x + y ≤ 8
x + 3y ≥ 5
x + y ≤ 6
x ≥ 0,
y ≥ 0

a. Fix any constraints, as needed, and then convert the linear programming problem into a system of linear equations.
b. Give a fully labeled initial tableau, and circle the pivot element.

Answers

Answer:

Step-by-step explanation:

[tex]\text{To maximize -4x + 5y + 70 subject to } \\ \\ 2x + y \le 8 --- (1) \\ \\ x + 3y \ge 5 --- (2) \\ \\ x + y \le 6----(3) \\ \\ x \ge 0, y \ge 0[/tex]

[tex]\text{From above equationn (1)} : 2x + y = 8 \\ \\ \text{Divide boths sides by 8} \\ \\ \dfrac{2x}{8} + \dfrac{y}{8} = \dfrac{8}{8}[/tex]

[tex]\dfrac{x}{4} + \dfrac{y}{8} = 1 \\ \\ x = 4; y = 8[/tex]

[tex]\text{From above equationn (2)} : x + 3y = 5 \\ \\ \text{Divide boths sides by 5} \\ \\ \dfrac{x}{5} + \dfrac{3y}{5} = \dfrac{5}{5} \\ \\ x = 5; \ y = 1.66[/tex]

[tex]\text{From above equation (3)} : x + y = 6 \\ \\ \text{Divide boths sides by 5} \\ \\ \dfrac{x}{6} + \dfrac{y}{6} = \dfrac{6}{6} \\ \\ x = 6; \ y = 6[/tex]

[tex]\text{From the image attached below, we can see the representation in the graph}[/tex]

-   [tex]\text{Now from equation (1) ad (III)} \\ \\ 2x + y = 8 \\ \\ x+y = 6[/tex]

                 

    [tex]x[/tex]      [tex]= 2[/tex]

                 

[tex]From : x + y = 6 \\ \\ 2 + y = 6 \\ \\ y = 6-2 \\ \\ y =4[/tex]

[tex]\text{From equation (1) and (II) } \\ \\ \ \ 2x + y = 8 \\ - \\ \ \ x + 3y = 5 \\ \\[/tex]

[tex]-5y = -2 \\ \\ y = \dfrac{2}{5} \ o r\ 0.4 \\ \\ From : 2x+ y = 8 \\ \\ 2x = 8 - \dfrac{2}{5} \\ \\ x = \dfrac{ 8 - \dfrac{2}{5} }{2} \\ \\ x = 3.8[/tex]

If the temperature was -24 degrees yesterday. If the temperature is 5 degrees now. What was the temperature change

Answers

Answer:

The temperature went up by 29 degrees.

Step-by-step explanation:

Since -24 is negative,

Add 5 to 24 = 29.

Mr. Brown purchased 5.75 pounds of chicken that cost $2.40 per pound How much change should he receive if he pays with a $20 bill? a)​

Answers

Answer:

$6.20

Step-by-step explanation:

5.75 * 2.40= 13.80

20-13.80= 6.20

$6.20

35% of students enrolled in collage are freshmen. if the total enrollment of the collage is 2800, how many of the students are freshmen?

Answers

Answer:

980 students are freshmen.

Step-by-step explanation:

2800*.35=980

What is the area of the trapezoid shown below?

Answers

Answer: where is the trapezoid

Step-by-step explanation:

Area of a trapezoid = 1/2(base1 +base2)*h

Explain the difference between a percent and a unit rate.

Answers

Answer:

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.

Step-by-step explanation:

Dan is randomly selecting an outfit to wear to school. He can choose from 3 shirts: blue striped, red striped, or white. He
can choose from 3 pairs of shorts: tan, blue, or plaid.
Determine whether each statement is true or false.
Select True or False for each statement.
The probability that Dan chooses a striped shirt and a pair of tan shorts is
O True
o
False
There are 6 possible outcomes in the sample space.
O
True
O
False
The probability that Dan chooses a striped shirt and a pair of blue shorts is
o
True
O False
There are 2 ways to choose a red striped shirt and a pair of tan shorts.
O True
O False

Answers

Answer:i dont know :(

Step-by-step explanation:

im sorry :(

Answer:

1. true

2. false

3. false

4. false

Step-by-step explanation:

hope this helps

please mark brainiest

please give 5 stars

thank you

Priya rewrites the expression 8y−24 as 8(y−3). Han rewrites 8y−24 as 2(4y−12). Are Priya's and Han's expressions each equivalent to 8y−24? Explain your reasoning

Answers

Answer:

sdfsefsesfsfsefsefsefsefsfsefesef

Step-by-step explanation:

Yes, because Han’s expression is 8(y-3) which is 8 x y which equals 8y and then 8 x -3 which equals -24. Priya’s is 2(4y-12). 2 x 4y = 8y and 2 x -12 = -24
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Use the following balanced reaction to solve:P4 (s) + 6H2 (g) 4PH3 (g) How many grams of phosphorus trihydride will be formed by reacting 60 L of Hydrogen gas with an excess of P4? The equation of a circle is x^2 + y^2 = 56.25 whats 2 other ways to write this equation:40 = 19+7x A cylinder has a radius of 5 inches and height of 20 inches.which is the surface area of the cylinder?1. 1187 square inches2. 517 square inches 3. 3077 square inches 4. 785 square inches When John Lewis was offered the opportunity to sue the state of Alabama in order to be admitted to Troy College, his parents refused. Why didn't they support John's efforts to attend the school? What was their viewpoint as it relates to Blacks living in the rural south? Explain in 3-5 sentences. * I need help on this and the person who answer this correctly gets a BRANLIST(answer if you know) What is the solution to this system of equations?2x+y=6- 2 x - y = 2(1,-1)(0,8)infinitely many solutionsO no solution 11) Why were southern states willing to secede from the Union? No pic if you could just type the answer.A group of three girls (Hannah, Jenny, and Kiesha) and two boys (Isiah and Luke)met up at the big annual Playland Park Easter Egg Hunt. The childrens last names(in no particular order) are Dwyer, Anders, Fields, Yu, and Wise.When the hunt began, each child found a different colored egg (blue, green, yellow, pink, and orange) in a different location (in a bush, behind a rock, on the slide, in the grass, and under a bench). Each childs egg contained a different type of Easter treat (marshmallow chick, gumball, jelly beans, chocolate egg, and candy corn).Use the 10 clues below to match each childs first and last names, with the location where they found their egg, the color of their egg, and the treat inside their egg.1. Hannah did not find her egg on the slide or in the grass. Her egg did not contain a gumball or candy corn.2. The boy with the last name of Fields did not find the blue egg.3. The girl who found her egg in a bush did not have a gumball or a marshmallow chick in her egg.4. The yellow egg had a chocolate egg inside of it. It was found by the child with the last name of Wise.5. One of the girls found the pink egg on the slide.6. Lukes green egg was not hidden in the grass or under a bench.7. Kiesha Yu got jelly beans in her egg.8. The girl with the last name of Anders found the orange egg.9. The blue egg was hidden in a bush.10. The egg that was filled with candy corn was hidden behind a rock. type a question about gas starting with what if You make $52,000 a year. Your state income tax rate is 2.5%. The state income tax allowance is $1500 per person and you have three allowances. They are yourself, your spouse and one child. How much income tax do you owe? Work out the reciprocal of 0.125 Of the males surveyed, what proportion selected small T-Shirt size pls help i need answer Can someone plzzzz help meeee!!!!! Find the smallest value of m such that the LCM of m and 34 is 374. which answer is correct If y varies directly as x, if y = 8 when x = 4, find y when x = 48 For each ordered pair determine whether its a solution to 5x plus 2y = -1 Consider the effects of inflation in an economy composed of only two people: Larry, a bean farmer, and Megan, a rice farmer. Larry and Megan both always consume equal amounts of rice and beans. In 2016 the price of beans was $1, and the price of rice was $4.Suppose that in 2017 the price of beans was $2 and the price of rice was $8.Inflation was.Indicate whether Larry and Megan were better off, worse off, or unaffected by the changes in prices.Better OffWorse OffUnaffectedLarry Megan Now suppose that in 2017 the price of beans was $2 and the price of rice was $4.80.In this case, inflation was.Indicate whether Larry and Megan were better off, worse off, or unaffected by the changes in prices.Better OffWorse OffUnaffectedLarry Megan Now suppose that in 2017, the price of beans was $2 and the price of rice was $1.60.In this case, inflation was.Indicate whether Larry and Megan were better off, worse off, or unaffected by the changes in prices.Better OffWorse OffUnaffectedLarry Megan What matters more to Larry and Megan?The relative price of rice and beansThe overall inflation rate