Which of the following terms appear in the expansion of (x+y)^10? The letter "a" in each term represents a real constant.

Choices are:
ax^4y^6
ax^5
ax^3y^7
ax^6y^4
Can be multiple

Answers

Answer 1

ANSWER

[tex]ax^4y^6[/tex]

[tex]ax^3y^7[/tex]

[tex]ax^6y^4[/tex]

EXPLANATION.

The given binomial is

[tex]( {x + y)}^{10} [/tex]

One property about all the terms in this binomial expansion is that:

The degree of each term is 10.

[tex]ax^4y^6[/tex]

degree=4+6=10

[tex]ax^3y^7 [/tex]

degree=3+7=10

[tex]ax^6y^4[/tex]

degree=6+4=10

[tex]ax^5[/tex]

degree=5+0=5

All the terms with degree 10 are the correct options

Answer 2

Answer:All of them except for ax^5

Step-by-step explanation:

You add what it’s being squared too and if it equals ten then it’s correct since we’re trying to find (x+y)^10


Related Questions

Malik
bought two tires for $45 and later sold for $65

Answers

Alright. We don't have the question, but Im going to assume it.

2 tires = $45

Later Sold for $65

Revenue is $20

If you mean sold both for each -

Revenue is $85

For this case we can indicate the profits obtained by Malik.

[tex]P = p-c[/tex]

Where:

P: They are the profits

p: It is the sale price

c: It's the cost

We have Malik buy the tires at $ 45, then the cost is $ 45. As he sold them at $ 65 then the sale price is $ 65.

We have:

[tex]P = 65-45\\P = 20[/tex]

So, Malik made a profit of $ 20 $

Answer:

Malik made a profit of $ 20

Kia buys 2 Cartons of Vanilla Ice Cream And 6 Cartons of Chocolate Ice Cream. Each carton contains 32 ounces of ice cream. She serves 4 ounces of ice cream in each bowl. What is the greatest number of bowels of ice cream that Kia can serve? ​

Answers

64 bowls because if you Multiply eight times 32. You would get 256 and then you divide that into four and would get 64 which is your answering

the greatest number of bowls of ice cream Kia can serve is 64.

The student wishes to determine the greatest number of bowls of ice cream that can be served given certain quantities of ice cream and serving sizes. To solve this, we first calculate the total amount of ice cream by adding the quantities of vanilla and chocolate ice cream. Kia bought 2 cartons of vanilla and 6 cartons of chocolate, each containing 32 ounces. Thus, the total amount of ice cream is (2 + 6) × 32 ounces. Each bowl served contains 4 ounces of ice cream. To find the number of bowls, we divide the total ounces of ice cream by the ounces per bowl. This yields (8 × 32) ÷ 4, which calculates to 64 bowls. Therefore, the greatest number of bowls of ice cream Kia can serve is 64.

Write the equation of the circle with center (0, 0) and (−1, −3) a point on the circle. A) x2 + y2 = 4 B) x2 + y2 = 5 C) x2 + y2 = 10 D) x2 + y2 = 16

Answers

ANSWER

C)

[tex] {x}^{2} + {y}^{2} = 10[/tex]

EXPLANATION

The center of the circle is (0,0).

The circle passes through (-1,-3).

The radius can be obtained using the distance formula:

[tex]r = \sqrt{(0 - 1)^{2} + {(0 - - 3)}^{2} } = \sqrt{10} [/tex]

The equation is given as:

[tex]( {x - h)}^{2} + ( {y - k)}^{2}= {r}^{2} [/tex]

Where (h,k) is the center and r is the radius.

This implies that;

[tex]( {x - 0)}^{2} + ( {y - 0)}^{2}= {( \sqrt{10)} }^{2} [/tex]

[tex] {x}^{2} + {y}^{2} = 10[/tex]

Use the quadratic formula to determine the exact solutions to the equation.

2x2−5x+1=0



Enter your answers in the boxes.

x =
or x =

Answers

ANSWER

[tex]x = \frac{5}{4} - \frac{ \sqrt{ 17} }{4} [/tex]

or

[tex]x = \frac{5}{4} + \frac{ \sqrt{ 17} }{4} [/tex]

EXPLANATION

The given equation is:

[tex]2 {x}^{2} - 5x + 1= 0[/tex]

Comparing this to

[tex]a {x}^{2} + bx + c = 0[/tex]

we have a=2, b=-5, c=1

The quadratic formula is given by

[tex]x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

We substitute the values to get,

[tex]x = \frac{ - - 5 \pm \sqrt{ {( - 5)}^{2} - 4(1)(2)} }{2(2)} [/tex]

[tex]x = \frac{ 5 \pm \sqrt{ 17} }{4} [/tex]

[tex]x = \frac{5}{4} - \frac{ \sqrt{ 17} }{4} [/tex]

or

[tex]x = \frac{5}{4} + \frac{ \sqrt{ 17} }{4} [/tex]

In solving an equation with a variable, an operation can be applied to _____ side(s) of the equation.

one
either
both

Answers

Answer:

Both.

Step-by-step explanation:

This was so long ago but....

Answer:

both

Step-by-step explanation:

y=37*1.26^x is rhis a growth or a decay​

Answers

Answer:

If x is greater than 1 it is growth, if it less than it is decay

Step-by-step explanation:

Kyle’s total sales for the month of January were $10,000, and his total earnings for that month were $1,350.
Kyle’s total sales for the month of February were $15,000, and his total earnings for that month were $1,575.
What is Kyle’s fixed monthly salary in dollars?

Answers

Answer:

$900

Step-by-step explanation:

Let the fixed salary be x and the commission be y, then as per given, the earnings:

10000y + x = 135015000y + x = 1575

Subtract the first equation from the second:

15000y - 10000y = 1575 -13505000y = 225

then

10000y =2*5000y = 2*225 = 450

Using the first equation:

x = 1350 - 450 = 900

So the fixed salary is $900

Write the equation of the graphed function. A. y = 5⁄4x + 3 B. y = 4⁄5x + 3 C. y = 4⁄5x – 3 D. y = 5⁄4x – 3

Answers

Is their a picture you can upload to show us?

(8-(-9))^2 + ((-3)-(-6))^2

Answers

Answer:

298

Step-by-step explanation:

Given

(8 - (- 9))² + (-3 - (- 6))² ← evaluate the parenthesis before squaring

= (8 + 9)² + (- 3 + 6)²

= 17² + 3²

= 289 + 9

= 298

Answer: (8+9)^2 + (-3 + 6)^2

= 17^2 + 3^2

= 289 + 9

= 298. ANS.

Two opposite rays
form
a line.
never
sometimes
always​

Answers

Answer:

always.

Step-by-step explanation:

A ray has a starting point but no end point. Therefore if 2 opposite rays are connected at their endpoints, a line is formed. I cannot think of an exception to this because the definition of a ray is very rigid (the end point is always included).

What is the answer? 1000-20000=_


A) -0
B) -1000
C) -19000
D) -200


Answers

Answer:

-19000

Step-by-step explanation:

1000-20000=-19000

Answer:

C -19000

Step-by-step explanation:

          1,000

     - 20,000

----------------------=

        -19000

Find the missing lengths of the sides

Answers

Answer: option c

Step-by-step explanation:

You can use these identities:

[tex]sin\alpha=\frac{opposite}{hypotenuse}\\\\tan\alpha=\frac{opposite}{adjacent}[/tex]

Then, using the angle that measures 30 degrees, you know that:

[tex]\alpha=30\°\\opposite=8\\adjacent=b[/tex]

Substituting:

[tex]tan(30\°)=\frac{8}{b}[/tex]

Now you must solve for b:

[tex]b=\frac{8}{tan(30\°)}\\\\b=8\sqrt{3}[/tex]

Using the angle that measures 30 degrees, you know that:

[tex]\alpha=30\°\\opposite=8\\hypotenuse=c[/tex]

Substituting:

[tex]sin(30\°)=\frac{8}{c}[/tex]

Now you must solve for c:

[tex]c=\frac{8}{sin(30\°)}\\\\c=16[/tex]

ANSWER

The correct answer is C

EXPLANATION

The side adjacent to the 60° angle is 8 units.

The hypotenuse is c.

Using the cosine ratio, we have

[tex] \cos(60 \degree) = \frac{adjacent}{hypotenuse} [/tex]

[tex]\cos(60 \degree) = \frac{8}{c} [/tex]

[tex] \frac{1}{2}= \frac{8}{c} [/tex]

Cross multiply

[tex]c = 8 \times 2 = 16[/tex]

Also

[tex]\cos(30 \degree) = \frac{b}{c} [/tex]

[tex]\cos(30 \degree) = \frac{b}{16} [/tex]

[tex] \frac{ \sqrt{3} }{2} = \frac{b}{16} [/tex]

Multiply both sides by 16

[tex]b = 16 \times \frac{ \sqrt{3} }{2} [/tex]

[tex]b = 8 \sqrt{3} [/tex]

The correct answer is C

solve -30+15y/2+2y=-11

Answers

Answer:

[tex]\large\boxed{y=\dfrac{8}{37}}[/tex]

Step-by-step explanation:

[tex]Domain:\ 2+2y\neq0\to y\neq-1\\\\\dfrac{-30+15y}{2+2y}=-11\\\\\dfrac{-30+15y}{2+2y}=\dfrac{-11}{1}\qquad\text{cross multiply}\\\\(-30+15y)(1)=(-11)(2+2y)\qquad\text{use the distributive property}\\\\-30+15y=(-11)(2)+(-11)(2y)\\\\-30+15y=-22-22y\qquad\text{add 30 to both sides}\\\\15y=8-22y\qquad\text{add}\ 22y\ \text{to both sides}\\\\37y=8\qquad\text{divide both sides by 37}\\\\y=\dfrac{8}{37}[/tex]

Select the expression that is equivalent to (x+4)^2

Answers

Answer:

So for this problem, we can use the formular:

(A + B)² = A² + 2AB + B²

Our orginal expression is: (x + 4)². In this expression, A can be written as x, B represents for 4, that leads to our answer:

(x + 4)² = x² + 2 . 4x + 4² = x² + 8x + 16

The correct answer will be D

Answer:  the correct option is (D) [tex]x^2+8x+16.[/tex]

Step-by-step explanation:  We are given to select the expression that is equivalent to the following expression :

[tex]E=(x+4)^2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We will be using the following formula :

[tex](a+b)^2=a^2+2ab+b^2.[/tex]

Using the above formula, the expression (i) gives

[tex]E\\\\=(x+4)^2\\\\=x^2+2\times x\times4+4^2\\\\=x^2+8x+16.[/tex]

Thus, the required equivalent expression is [tex]x^2+8x+16.[/tex]

Option (D) is CORRECT.

A python curls up to touch the tip of its own tail with its nose, forming the shape of a circle. The python is 2.6 pie meters long. What is the radius r of the circle that the python forms?

Answers

Answer:

r = 1.3 meters  

Step-by-step explanation:

A python curls up to touch the tip of its own tail with its nose, forming the shape of a circle.

A python curls up to touch the tip of its own tail with its nose, forming the shape of a circle.  

The python is 2.6 pi (2.6π) meters long.

What is the radius r of the circle that the python forms?

Now we have: C = π d, or (with d = 2 r):  C = 2 π r.

Changing that around: r = C / 2 π

So with our value of C = 2.6π meters, that gives us:

r = 2.6π/2π = 2.6/2, so r = 1.3 meters  

Answer:

The answer is 1.3

Step-by-step explanation:

Because it is half of the diameter which was 2.6

A line that includes the point (1,10) and has a slope of 7. What is it’s equation in slope intercept form

Answers

y = 7x +3 slope is rise over run with would be 7/1 and y intercept is 3

The equation in the slope-intercept form is y=7x+3.

What is the equation in slope-intercept form of point (1,10) and has a slope of 7?

Given:

A line that includes the point (1,10) and has a slope of 7.

Find:

The equation in slope-intercept form.

Solution:

We will use y = mx+b where m = slope and b = y-intercept.

y = mx+b

Now, putting (1,10) in the place of x and y and slope as 7, we get;

10 = 7*1 + b

b = 10-7

b=3

So, the y-intercept is 3.

Now, putting the y-intercept in the slope-intercept equation, we get;

y = 7x+3

Hence, the equation in slope-intercept form is y=7x+3.

To learn more about slope-intercept, refer to:

https://brainly.com/question/1884491

#SPJ2

In 26 years, Peter will be 54 years old. In how many years will he be 75 years old?

Answers

Peter will be 75 years old in 47 years.

Answer:

In 47 years Peter will be 75 years old

Step-by-step explanation:

If Peter will be 54 years old in 26 years then subtract 26 from 54

54-26=28

This means that Peter is 28 right now, if you want to double check that work then add 26 to 28 implying that in 26 years Peter with be 54 years old

28+26=54

This shows that your calculations are correct! Now you have to figure out how many years from now will Peter be when he turns 75 years old, so you subtract his current age which is 28 from 75

75-28=47

Now to double check this add 47 to his current age which is 28

28+47= 75

This shows that your calculations are correct and it will take 47 years for Peter to be 75 years old!

What inequality represents the verbal expression? all real numbers less than 70

Answers

For this case we have:

Let x be the variable that belongs to the real numbers. Then, all reals less than 70 can be expressed as:

[tex]x <70[/tex]

The tip of the inequality is directed to the real numbers, since they tell us that they are less than 70, for 70 the inequality remains open.

Answer:

[tex]x <70[/tex]

The museum has tours every 20
minutes and a video to watch
every 15 minutes. Both the video
and tour start at 10:00 a.m. What
is the next time they will both be
starting at the same time?

Answers

Final answer:

The next time a museum tour and video both start at the same time after 10:00 a.m. is at 11:00 a.m., as that is when their intervals (every 20 minutes for tours and every 15 minutes for videos) have their Least Common Multiple.

Explanation:

The question is about finding the next time a museum tour and a video both start at the same time after 10:00 a.m. The tours start every 20 minutes and the videos start every 15 minutes. To find the next common start time, we need to calculate the Least Common Multiple (LCM) of 20 and 15 which is the smallest number that both 20 and 15 can divide into without leaving a remainder.

Multiples of 20 are 20, 40, 60, 80, 100, ...

Multiples of 15 are 15, 30, 45, 60, 75, ...

The first common multiple of the two intervals is 60 minutes. Therefore, since both the tour and the video start at the same time (10:00 a.m.), the next time they will both start together will be 60 minutes later, which is at 11:00 a.m.

what verbal expression best describes the algebraic expression 4x ÷ 6?

A. The sum of four and some number divided by six

B. The product of some number and six divided by four​

Answers

I think you forgot to put C and D but it is read out

The product of x and four divided by six

(x being some number)

i don't need it but brainliest it is appreciated

what is the solution to the system of equations ? y=5x+2 3x=-y+10

Answers

Answer:

Solution is (1,7).

Step-by-step explanation:

We need to find the solution of the system of following equations.

y= 5x + 2        eq(1)

3x = -y +10      eq(2)

We will solve the equations using Substitution method to find the values of x and y

we put value of y from eq (1) into eq (2), The eq(2) will be:

3x = - (5x + 2) + 10

3x = -5x -2 +10

3x+5x = -2+10

8x = 8

x= 1

Now, putting value of z in eq(1) to find value of y

y = 5x +2

y = 5(1) + 2

y = 5+2

y = 7

So, Solution is (1,7).

Please help, thanks.

Answers

Answer:

-109

Step-by-step explanation:

Arithmetic sequence formula:

an = a1  + d(n - 1) where d = -4 and a1 = 19

so

a(33) = 19 - 4(33-1)

a(33) = 19  - 4(32)

a(33) = 19 - 128

a(33) = -109

The missing term : -109

Answer:

-109

Step-by-step explanation:

As x changes from 1 to 2, 2 to 3, and 3 to 4, each change in x is 1. The  corresponding changes in y from 19 to 15, from 15 to 11, and from 11 to 7, are each a change of -4 in y. For each change of 1 in x, the corresponding change in y is -4. From 4 to 33 in x, the change is 33 - 4 = 29. The corresponding change in y is 29 * (-4) = -116.

7 + (-116) = -109

Which is the image of (-2, -5) reflected across X=2?
(-6, 5)
(-2,9)
(6,-5)
(2,9)

Answers

Answer:

(6,-5)

Step-by-step explanation:

As the point is 4 units to the left of X=2, the reflection must be 4 units to the right of X=2

Given: F(x)=x+2 and g(x)=3x+5
(f-g)(x)=​

Answers

Answer:

- 2x - 3

Step-by-step explanation:

note that (f - g)(x) = f(x) - g(x)

f(x) - g(x) = x + 2 - (3x + 5) = x + 2 - 3x - 5 = - 2x - 3

2. A package of paper towels contains 3 rolls. Each package of paper towels costs $2.79. A function, f(x), is written to represent the cost of purchasing x packages of paper towels. What is the practical domain for the function f(x)?

A. All real numbers
B. All whole numbers
C. All positive numbers
D. All whole numbers that are multiples of 3

Answers

Answer:

B

Step-by-step explanation:

Let x be the number of packages of paper towels.

Each package of paper towels costs $2.79.

Then x packages of paper towels cost $2.79x.

Hence, a function f(x) is

[tex]f(x)=2.79x[/tex]

Practically, you can buy 0 packages, 1 package, 2 packages and so on, only whole numbers of packages, so practical domain is all whole numbers.

pleeeeeeeeaaaseeeeee help meeeeeeee!!!!!!!!!

Answers

Answer:

Option D.

[tex]A =96\pi\ cm^2[/tex]

Step-by-step explanation:

The area of the circular bases is:

[tex]A_c = 2\pi(a) ^ 2[/tex]

Where

[tex]a=4\ cm[/tex] is the radius of the circle

Then

[tex]A = 2\pi(4) ^ 2[/tex]

[tex]A = 32\pi\ cm^2[/tex]

The area of the rectangle is:

[tex]A_r=b * 2\pi r[/tex]

Where

[tex]b=8\ cm[/tex]

b is the width of the rectangle and [tex]2\pi r[/tex] is the length

Then the area of the rectangle is:

[tex]A_r=8 * 2\pi (4)[/tex]

[tex]A_r=64\pi\ cm^2[/tex]

Finally the total area is:

[tex]A = A_c + A_r\\\\A = 32\pi\ cm^2 + 64\pi\ cm^2\\\\[/tex]

[tex]A =96\pi\ cm^2[/tex]

Answer:

The correct answer is option B.  96π

Step-by-step explanation:

Points to remember

Surface area of cylinder = 2πr(r + h)

Where r is the radius of cylinder and h is the height of cylinder.

From the figure we get r = 4 cm and h = 8 cm

To find the surface area of cylinder

Surface area = 2πr(r + h)

 = 2π * 4(4 + 8)

 = 96π

The correct answer is option B.  96π

What is the sum of all odd numbers 10 to 55

Answers

Answer:

To sum consecutive numbers we use the formula:

n * (n+1) / 2

1 through 55 = (55 * 56) / 2 = 1,540

1 through 9 = (9 * 10) / 2 = 45

10 through 55 = 1,540 -45 = 1,495

********************************************************

EDITED

Gee, it seems I added ALL numbers from 10 through 55

ALL ODD numbers from 10 through 55 sum to

759

Step-by-step explanation:

Victoria read a 160-page historical fiction novel followed by a science fiction novel of the exact same length. Her average reading speed of the science fiction novel was 2 pages per hour more than her average reading speed of the historical fiction novel. Victoria models her novel reading marathon with the following expression, where x represents her average reading speed of the historical fiction novel. What does x + 2 represent in this situation? A. the total time taken to read the novels B. the average reading speed of the historical fiction novel C. the average reading speed of the science fiction novel D. the number of pages of the science fiction novel

Answers

The answer is C: the average reading speed of the science fiction novel.

If x is her reading speed for the historical fiction novel, and her reading speed for the sci-fi novel is just two pages more than that of the historical fiction novel, then the equation to find out how fast she reads the science fiction novel would be x + 2, as you’re adding 2 to the reading speed of the historical fiction book (x)

Answer:

The answer to this question is correct but on PLATO the answer choice is actually A.

Step-by-step explanation:

PLATO

Simplify 7a + 2x + 5a - 6x

Answers

Answer:

12a - 4x

Step-by-step explanation:

1. 7a + 2x + 5a - 6x

2. 12a + 2 x - 6 x

(2b/3)^4 simplify the expression

Answers

Answer:

[tex]\large\boxed{\left(\dfrac{2b}{3}\right)^4=\dfrac{16b^4}{81}}[/tex]

Step-by-step explanation:

[tex]\left(\dfrac{2b}{3}\right)^4\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\ \text{and}\ (ab)^n=a^nb^n\\\\=\dfrac{2^4b^4}{3^4}=\dfrac{16b^4}{81}[/tex]

Answer:

16b^4/81

Step-by-step explanation:

Other Questions
if a gas occupies at 5.40 L at a pressure of 1.25atm, what will be its volume at a pressure of 3.00 atm? (Show work) Find the surface area of the right square pyramid. Round your answer to the nearest hundredth. Find the area of the shape If 10.0 L of oxygen gas at STP are heated to 512 Celsius what will be the new volume of the gas if the pressure is also increased to 1.75 ATM? What is the volume of the cone with radius 4 ft and height 10 ft? Round to the nearest cubic foot.A) 126 ft3B) 200 ft3C) 251 ft3D) 168 ft3 Why did many cubans resent the rule of fulgencio batista? arrange the following events in china in chronological order. She told us the noise shed heard was like fingernails on a chalkboard. She said it reminded her of the way shrieking cats and grinding metal sound. What is the most effective context clue to add to the beginning of the first sentence to help the reader understand the simile? Match the shape with the correct formula for finding the area. 1. Rectangular Prism rl + r2 2. Triangular Prism 2B + Ph 3. Pyramid 2rh +2r2 4. Cylinder 2ll + l2 5. Cone 2lw + 2lh + 2wh what are the main risk and main benefit when a society uses energy from nuclear fission?a. risk of harm to flying animals; benefit of reducing greenhouse gases b. risk of high greenhouse gas and particle emissions; benefit of reducing short-term costsc. risk of groundwater contamination; benefit of using a renewable resourced. risk from radioactive material; benefit of obtaining low-cost energy How can using a thesaurus increase the quality of your work? Nous avons mal aux jambes aprs le match de foot. Pourquoi as-tu mal aux jambes? O avez-vous mal? Qui a mal la tte? Comment avez-vous mal aux jambes? Which fragment could you correct by adding only a complete predicate?Roar to warn predatorsOccurs on the African SavannahReachable by jeep or helicopterLions and other members of the cat family Abraham maslow did not feel that _____ was necessarily exclusive to older adults, but he did note that it is related to life experiences that help people move forward. What is the measure of angle 3 When was the devil born? Harry is in line at the store.he has 3 items that cost $5.95,$4.25 and $1.05.explain how Harry can add the cost of the items mentall before the pays for them A robots height is 1 meter 20 centimeters. How tall is the robot in millimeters? Please show me how you work it out. Tenochtitln was an important cultural and trade center for which Mesoamerican civilization? A. Aztecs B. Olmec C. Inca D. Maya Read the excerpt from Cristina Garcias Dreaming in Cuban. I dont really want to talk about my father but I end up telling Minnie how he used to take me horseback riding on our ranch, strapping me in his saddle with a leather seat belt he designed just for me. Dads family owned casinos in Cuba, and had one of the largest ranches on the island. There were beef cattle and dairy cows, horses, pigs, goats, and lambs. Dad fed them molasses to fatten them, and gave the chickens corn and sorghum until they laid vermilion eggs, rich with vitamins. He took me on an overnight inspection once. We camped out under a sapodilla tree and listened to the pygmy owls with their old womens voices. My father knew I understood more than I could say. He told me stories about Cuba after Columbus came. He said that the Spaniards wiped out more Indians with smallpox than with muskets. How does the structure of the excerpt add meaning to the passage? It includes historical information about the Spaniards and Indians to indicate the work is nonfiction. It describes the setting of the ranch owned by Pilars Cuban grandparents to explain family values. It uses several narrators to share their points of view about past and present life in Cuba. It manipulates the chronological order of events to reveal the close relationship between Pilar and her father.