Expand the binomial (2x + y^2)^5.



The fourth term in the expansion of the binomial (2x + y^2)^5 is _____

Answers

Answer 1
(2x + y^2)^5 = (2x)∧5 + 5(2x)∧4×y² + 10(2x)∧3×y∧4 + 10(2x)²×y∧6 + 5(2x)y∧8 +y∧10
  
  = 32x∧5 +80x∧4y² + 80x∧3y∧4 + 40x²y∧6 + 10xy∧8 + y∧10

The fourth term of the binomial expansion (2x + y^2)^5 is 40x²y∧6

Related Questions

if f(x)=3x^2+2x-1, what is f(0)

Answers

The answer is -1. I hope this helps! :))

A bag contains 10 identical balls numbered from 1 to 10. What is the probability that a person reaches into the bag and randomly selects a ball with a number that is even?

Answers

1 out of every 2 draws
The answer to your question would be 50%, due to the reason that 2,4,6,8,10 are all even. Which means 1,3,5,7,9 are odd. The problem is 5/10 or 1/2, which would equal up to 50%. 



Cindy has a jar of mixed nuts. There are two pecans, three peanuts, and one cashew in the jar. Cindy grabs two nuts and gives them to her friend, Paul, and he eats them. What is the probability of Paul eating a cashew and a pecan?


A. 1/18

B. 1/15

C. 2/11

D. 1/4

Answers

the answer would have to be D 1/4

Parker bought 4 times as many marbles as Molly.Cole bought 5 fewer marbles than Parker. If Molly bought p marbles how many did Cole buy?

Answers

4x-5m is the answer. 

The cost of a taxi is $2.75 plus $0.40 per half mile.write an equation to find the cost of a taxi ride that is m miles long How much would it cost you to travel 45 miles m=#miles c=#cost
1.C stand for ____.
a.cost
b.circle
2.what is the equation?
a.c=-0.4m+2.75
b.c=0.4m+2.75
3.what is the solution?
a.$6.35
b.$6.25

Answers

1) It tells you in the question c = cost, so cost would be the answer

2) 2.75 is the fixed rate so we would keep it as is. C is the cost which would the total, so c = ?m + 2.75
0.40 per half mile so you put 0.40m because it varies depending on the amount of miles
That makes the equation c = 0.40m + 2.75

3) Now to find how much it costs for 45 miles, you plug 45 for m
c = 0.4 * 45 + 2.75
c = 20.75
Not sure why it isn't an option

Jade is making a square birthday card and she's going to put a ribbon borders on each of the 4 equal sides piece of ribbon that is 33 inches long do you have all of the ribbon how many inches of ribbon conget put on all
equals side

Answers

8 inches can cover each side
(she will have 1 inch left)

Final answer:

Jade can use 8.25 inches of ribbon on each side of her square birthday card by dividing the total ribbon length of 33 inches by the number of sides, which is 4.

Explanation:

Jade is making a square birthday card and wants to put ribbon borders on each of the 4 equal sides using a piece of ribbon that is 33 inches long. To determine how much ribbon can be put on each side, we divide the total length of the ribbon by the number of sides of the square. Since a square has four sides, we divide 33 inches by 4.

33 inches ÷ 4 sides = 8.25 inches per side

Therefore, Jade can put 8.25 inches of ribbon on each side of the birthday card.

10 < –2b or 2b + 3 > 11

Answers

10 < –2b or 2b + 3 > 11 represents 2 different sets of numbers.

10 < –2b can be reduced by dividing both sides by -2; you must then reverse the direction of the < sign:  -5 > b, which is the interval b < -5:  (-infinity, -5).

2b + 3 > 11 reduces to 2b > 8, which in turn reduces to b > 4:  (4, infinity).

It may be helpful to graph these sets.

If you really do mean   "10 < –2b or 2b + 3 > 11," then the "solution" is made up of two sub-intervals:  b < -5 and b > 4.

Layla drew a quadrilateral with 4 right angles and 2 pairs of opposite sides sides that are parallel.What quadrilateral best describes her drawing?

Answers

The answer is Rectangle

Based on the given information, Layla's drawing is a special type of quadrilateral known as a rectangle.

What is the rectangular shape?

Rectangles are quadrilaterals having four equal vertices and parallel sides that are equal to one another.

A rectangle is defined as a quadrilateral with four right angles and opposite sides that are parallel and congruent (i.e., they have the same length).

In Layla's drawing, she stated that there are two pairs of opposite sides that are parallel, which satisfies this definition.

Furthermore, the fact that all four angles are right angles also fits the definition of a rectangle.

It is important to note that not all quadrilaterals with two pairs of parallel sides and four right angles are rectangles.

For example, a parallelogram with four right angles is a special type of rectangle known as a square, which has all sides congruent.

Therefore, based on the given information, Layla's drawing best describes a rectangle.

To learn more about the rectangular;

brainly.com/question/21416050

#SPJ7

a rectangular box has a volume of 480 cubic inches. The height of the box is 5 inches. The ratio of the length of the box to the width of the box is 3 to 2. What is the measure of the width of the box?

Answers

W^2= 64
take sqrt
W= 8
plug value of W
L=3W/2
L=3*8/2
L=12
L=12, W= 8 , H =5
CHECK
12*8*5= 480 cu.inches

-6 < -3; Divide both sides by -3

Answers

2[tex] \geq [/tex] 1

A number that is equal to 36 more than y

Answers

Final answer:

The number that is equal to 36 more than y is represented as x = y + 36, and is an algebraic expression that adds 36 to the variable y to define another variable x.

Explanation:

The question "A number that is equal to 36 more than y" can be expressed in a mathematical form as x = y + 36. Here, we are defining a new variable x, which represents the number that is 36 more than another variable y. This type of problem is common in algebra, where one variable is defined in terms of another.

To understand this with an example, if y represented someone's final exam history grades and we wanted to find a number that is 36 points higher than their history grade, we would add 36 to their grade y to get x. So, if the history grade was 60, the number x would be 60 + 36, which equals 96.

This relationship between x and y could be part of a larger system of equations or could represent a formula used to transform one set of data to another set, such as adjusting scores or predicting outcomes based on previous data.

whats the factor of 21n^2 -14

Answers

Answer:

7(3n^2-2)

Step-by-step explanation:

=21n^2-14

As the numbers 21 and 14 are multiples of 7, so 7 will be the common factor

=7(3n^2-2)

the school cafeteria served 125.6 liters of milk on Monday and 5.34 more liters of milk on Tuesday than on monday.how many total liters of milk were served on Monday and Tuesday

Answers

The total amount will be
  total = (125.6 L) + ((125.6 +5.34) L) = (2*125.6 +5.34) L
  total = 256.54 L

select all expressions less than 5-square root of 135
a.pie/square root of 2
b.5/square root of 3
c.3+2 times square root of 2
d.4+8 time square root of 50
explain and show work

Answers

it should be b im not sure


A rhombus has diagonals 500 yd and 800 yd in length. Find the area in square miles.

Answers

1 mile = 1760 yd, so your area is ...
  A = (1/2)×d₁×d₂
  A = (1/2)×(500/1760)×(800/1760) mi²
  A = 125/1936 mi²
  A ≈ 0.0645661 mi²

what's the radius of a circle with an area of 64 square feet?

Answers

Area = [tex] \pi r ^{2} [/tex]
64 = [tex] \pi r ^{2} [/tex]
[tex] \frac{64}{ \pi } =r^2[/tex]
[tex]r= \frac{ \sqrt{64} }{ \sqrt{ \pi } } = \frac{8}{ \sqrt{ \pi } } [/tex]

If you want the denominator rationalized, the answer is [tex] \frac{8 \sqrt{ \pi } }{ \pi } [/tex]

A single , standard number cube is tossed. What is the probability of getting a 4 or 5 ?

1. 1
2. 1 / 5
3. 1 / 3
4. 1 / 6

Answers

[tex] |\Omega|=6\\
|A|=2\\\\
P(A)=\dfrac{2}{6}=\dfrac{1}{3}\approx33\% [/tex]

maths question help plz

Answers

using the Pythagorean theorem:
x = sqrt(5.1^2 + 2.5^2)

x = sqrt ( 26.01 + 6.25)

x = sqrt(32.26)

x = 5.679
rounded off: X = 5.68 mm

Help please i can’t figure this out

Answers

to find the y-intercept: replace x with 0
to find the x-intercept: replace y with 0

x-int:
0 = 10x - 32
32 = 10x
x = 3.2
(3.2, 0)
y-int:
y = 10(0) - 32
y = -32
(0, -32)

7÷10p^3 ÷ 2÷ 8p^2 please help

Answers

7p^5/160 is the answer

A dice is rolled and a marble is selected at random from a bag with 2 red marbles, 2 green marbles, 2 yellow marbles, 1 purple marble and 1 blue marble. Find the P(odd and not green).

Answers

1/3 times 6/8

1/3 times 3/4

So, the answer is 3/12

Simplify: 1/4

If a function is odd, then which statement is true?

Answers

By definition, a function is odd if f(-x) = -f(x) for all x in the domain. The answer is choice C

Side note: a function is even if f(-x) = f(x) for all x in the domain

The ___ is the collection of all possible individual outcomes for a chance process. The total probability of all the possible individual outcomes is ____.

Choices for first blank: probability model; relative frequency; sample space; probability


Choices for second blank: 0.5; 0; 1; 100

Answers

Answer:

1. sample space

2. 1

Step-by-step explanation:

The coordinate plane represents a map. Each grid unit represents 20 miles. A retail company has a warehouse at N(40, 60). A store is located at P(40, −30). How long will it take a truck driving at 50 miles per hour to drive from warehouse N to this store?

Answers

The truck will take 36 hours to travel from warehouse N to store P.

To calculate the time it will take for a truck to travel from warehouse N to store P, we need to first determine the distance between the two points in the coordinate plane. Since each grid unit represents 20 miles, we will use the coordinates of N(40, 60) and P(40, -30) to calculate the distance in grid units and then convert that into miles. The two points share the same x-coordinate, so the truck is only traveling in the north-south direction. By subtracting the y-coordinate of P from that of N, we find that the two points are 90 grid units apart in the y-direction (60 - (-30) = 90). After converting the grid units into miles by multiplying by 20, the total distance is 90
20 miles = 1800 miles.

The truck drives at a speed of 50 miles per hour, so we divide the total distance by the truck's speed to find the time it takes to travel from N to P:
1800 miles / 50 miles per hour = 36 hours.

2. Basketball Players:
Find the Measures of Center and Variability for Basketball Players Heights.
Mean:

Mode:

Median:

Range:


3. a. How many of the 10 basketball players are shorter than the tallest field hockey player?

b. List the heights that overlap in the dot plot?


Answers

2.Mean:72.1
Mode: 72
Median: 72
Range: 7
3a. 2 players
3b. 68, 69 inches

2. Adding all the heights together yields 721. divide it by the number of players (10) for the mean of 72.1. 
72 appears the most at 4 times so it is the mode.
The median with the values ordered 72 is the middle number.
The maximum of 75 minus the minimum of 68 gives a range of 7.

3a. there are two dots that are smaller then the tallest hockey player, b. those dots are at 68 and 69 inches in the dot plot

the radius of a golf ball is 2.1 centimeters find the volume of the golf ball to the nearest tenth

Answers

Final answer:

The volume of the golf ball, rounded to the nearest tenth, is approximately 13.8 cm^3.

Explanation:

The volume of a sphere can be calculated using the formula V = (4/3)πr^3, where V is the volume and r is the radius of the sphere.

In this case, the radius of the golf ball is given as 2.1 centimeters. So, substituting the value of the radius into the formula, we can find the volume.V = (4/3)π(2.1)^3 = 4.4π cm^3. To find the volume to the nearest tenth, we substitute π with its approximate value of 3.14 and calculate V = 4.4 * 3.14 = 13.816 cm^3.

Rounded to the nearest tenth, the volume of the golf ball is approximately 13.8 cm^3.

Learn more about Volume calculation here:

https://brainly.com/question/32822827

#SPJ2

How many 8 ounce bags of trail mix can be filled from a 10 pound bag of trail mix

Answers

you can make 20 8 oz bags because there are 16 oz in 1 lb
16 oz x 10 pounds = 160

160 oz/ 8 oz = 20 bags

$7800 increased by 22.5%

Answers

First you must divide 22.5 by 100. 

22.5 / 100 = .225

Then add 1.

.225 + 1 = 1.225

Finally times 7800 with 1.225

7800(1.225) = 9555

$9555 is the answer.

At a fair, each person can spin two wheels of chance. The fist wheel has numbers 1,2, and 3. The second wheel has the letters A and B. (A) list all the possible outcomes of the computed event. (B) if you spin both wheels, what is the probability that you get either a 1 or an A? Explain.

Answers

The answer to Part (B) is 4/6

(a) There are 3 numbers on the fist well and 2 letters on the second, so number of possible outcomes = 3*2 = 6 possible outcomes

The possible outcomes are 1A, 2A, 3A, 1B, 2B, 3B

So in total there are 6 possible outcomes as shown above if a person can spin the two wheels

(b) From possible outcomes A or 1 can appear four times namely: 1A,2A,3A and 1B

So probability is number of successes/ total number = 4/6

Which of the values in the set {2, 3, 4, 5} is a solution to the equation 2x + 4 = 10?

A. 2
B. 3
C. 4
D. 5

Answers

 The Answer is 3
2(3)+4=10
6+4=10
10=10

Answer:

Your answer would be B!

Step-by-step explanation:

I took the test myself just now and got it right <3

Other Questions
A spinner is divided into 5 equal sections numbered 1 to 5. The theoretical probability of the spinner stopping on 3 is 20%. Which of the following is most likely the number of 3's spun in 10,000 spins? A. 3358B. 1243C. 2589D. 2067 do you think a jury should take the age of a criminal defendant into consideration 10 points! Please Help! ASAPDescribe the importance of the Seneca Falls Convention which carbohydrate is found in plant cell walls and is indigestible for mammals and other animals ? List the following stocks and bonds in order from lowest default risk to highest default risk.A. foreign government bond, common stock, preferred stockB. foreign government bond, preferred stock, common stockC. common stock, preferred stock, foreign government bondD. preferred stock, common stock, foreign government bond what is forty six squared Porter co. is analyzing two projects for the future. assume that only one project can be selected. project x project y cost of machine $ 68,000 $ 60,000 net cash flow: year 1 24,000 4,000 year 2 24,000 26,000 year 3 24,000 26,000 year 4 0 20,000 the payback period in years for project x is: multiple choice 2.00. 3.83. 3.50. 2.83. In daryl's speech on football, he tells the audience in the introduction that he is going to discuss the history of the sport, some of the rules, and the benefits of playing football for cardiovascular fitness. what type of signpost is daryl demonstrating? Write the equation of the perpendicular bisector of RS. Point R is located at (1, 3), and point S is located at (3, 1). What you is the difference between somatic cells and gametes? There are only three regular polygons that can make a regular tessellation true or false The kangaroo rat is able to get all of the water it needs through its food and, therefore, never needs to drink liquids. this animal has adapted to survive in which biome? Share out 80 between Tom and jerry in the ratio 3:2 If the area is 72 and the perimeter is 34, what are it's dimensions What are some influences salsa music has?African and SamoanEnglish and ChineseAfrican, Cuban, Puerto Rican and JazzSpanish and dutch Find d: ??? Ft. Plz help idk this question What was the effect on china of the boxer rebellion? it led china to the verge of collapse. it made china a communist country. it gave europe a bigger role in china. it made china a major world power? The perimeter of the base of a regular quadrilateral prism is 32 cm. The height of the prism is 2 times greater than the length of the base edge. Find the sum of all edges of the prism. A random sample of 150 people was taken from a very large population. ninety of the people in the sample were female. the standard error of the proportion is what is 66% of 740kilometers