Use the binomial theorem to expand (a + b)^6

Answers

Answer 1

Answer:

(a+b)6= a^6+6a^5b+15a^4b^2+20a^3b^3+15a^2b^4+6ab^5+b^6

Step-by-step explanation:

Answer 2

Answer:

the answer is C

the following question is B

Step-by-step explanation:

edge 2020


Related Questions

What is the value of b in the equation (y Superscript b Baseline) Superscript 4 Baseline = StartFraction 1 Over y Superscript 24 Baseline EndFraction? –20 –6 6 20

Answers

Answer:

b =-6

Step-by-step explanation:

[tex](y^{b})^4=\frac{1}{y^{24}} \\\\y^{4b}=y^{-24}\\4b = -24\\b=\frac{-24}{4}\\b =-6[/tex]

Answer:

B , -6

Step-by-step explanation: took the quiz

8. Simon's Toy Co. makes plastic blocks that are in the shape
of cubes 3 inches on each edge. How many blocks can be
put in a cube-shaped mailing box that measures 15 inches
on each edge?

Answers

Answer:

5 cubes

Step-by-step explanation:

15/3=5

Answer:

5

Step-by-step explanation:

5/3=15

If each square unit represents 3 square feet what is the area of the patio in square feet

Answers

Answer:

563

Step-by-step explanation:

4
A mall manager asks the store owners what fraction of their products are on sale. The store owners' responses are displayed on the line plot. What fraction of the stores have or less of their products on sale?
Mall Stores Sale Items


A.


B.


C.


D.

Answers

Answer:

its 1/2

Step-by-step explanation:

people stop putting answer if your not sure you just want points

A rectangular prism and a square pyramid were joined to form a composite figure. A rectangular prism with a length of 9 inches, width of 9 inches, and height of 5 inches. A square pyramid with triangular sides with a base of 9 inches and height 4 inches. [Not drawn to Scale] What is the surface area of the figure? 261 in.2 333 in.2 405 in.2 477 in.2

Answers

Answer:

The answer is D 477 in.2

Step-by-step explanation:

The surface area of the composite figure is 333 sq. in.

The correct answer is an option (2) 333 in²

What is a pyramid?

"It is a three-dimensional geometric shape with a polygon as its base and the lateral surfaces as triangles which meet at a common point."

What is rectangular prism?

"It is a three-dimensional geometric structure which has six faces that are rectangles."

What is a composite figure?

"A figure that consists of two or more geometric shapes."

Area of rectangle:

A = length × width

Area of the triangle:

A = 1/2 × base × height

For given example,

A rectangular prism and a square pyramid were joined to form a composite figure.

The composite figure would have nine faces with four triangular faces and five rectangular faces.

Surface area of the composite figure would be the sum of surface area of  all nine faces.

The dimensions of the rectangular base the composite figure are length of 9 inches, width of 9 inches.

Using the formula for an area of the rectangle,

⇒ A1 = 9 × 9

⇒ A1 = 81 square inches

The surface area of the larger vertical rectangular faces is same.

So, A2 = 2 × (area of the larger vertical rectangular faces)

The dimensions of the larger vertical rectangular faces 9 inches × 5 inches.

⇒ A2 = 2 × (9 × 5)

⇒ A2 = 2 × 45

⇒ A2 = 90 square inches

Similarly, the surface area of the smaller vertical rectangular faces is same.

So, A3 = 2 × (area of the smaller vertical rectangular faces)

The dimensions of the smaller vertical rectangular faces 9 inches × 5 inches

⇒ A3 = 2 × (9 × 5)

⇒ A3 = 2 × 45

⇒ A3 = 90 square inches

The four triangular faces are identical.

Let A4 be the total surface area of four triangular faces.

⇒ A4 = 4 × (area of triangular face)

⇒ A4 = 4 × (1/2 × base × height)

⇒ A4 = 4 × (1/2 × 9 × 4)

⇒ A4 = 4 × 18

⇒ A4 = 72 square inches

So, the surface area of the composite figure is,

⇒ A = A1 + A2 + A3 + A4

⇒ A =  81 + 90 + 90 + 72

A = 333 sq. in.

Therefore, the surface area of the composite figure is 333 sq. in.

The correct answer is an option (2) 333 in²

Learn more about pyramid and rectangular prism here:

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The data in the table represents the value of a savings account at the end of each year for 6 years. The relationship between the increasing years and the increasing value of the account is exponential. There israte of change in an exponential relationship. After each year, the value of the account istimes as large as the previous year.

Answers

Answer:

1. Constant multiplicative.

2. 1.05.

Step-by-step explanation:

Their savings increase by 1.05x every year.

The function h represents the?

Answers

Answer: B

Step-by-step explanation:

38 height

-16 is the time

It’s the second one

Help me please!!!!!!!!

Answers

i think it’s d for the standard equation

Answer:

D y= ax^2 + bx+c = 0

Step-by-step explanation:

The standard form of a quadratic equation is

ax^2 + bx+c = 0

x = -b/2a is the equation for the line of symmetry

a quadratic is a parabola, but that is not the standard form

vertex is the minimum or maximum of the parabola

pls help me ou i need to turn this in pls pls ​

Answers

Answer:

3

Step-by-step explanation:

Which best describes the range of the function f(x) = Two-thirds(6)x after it has been reflected over the x-axis?

all real numbers
all real numbers less than 0
all real numbers greater than 0
all real numbers less than or equal to 0

Answers

Answer:

y > 0 best describes the range of the function f(x) = 2(3)x. A function whose value is a constant raised to the power of the argument, especially the function where the constant is e

Step-by-step explanation:

Using exponential function concepts, it is found that the range of the function after it has been reflected over the x-axis is given by:

all real numbers less than 0.

What is an exponential function?

It is modeled by:

[tex]y = ab^x + c[/tex]

In which:

a is the initial value.b is the rate of change.The range is (c, infinity).

In this problem, a reflection over the x-axis means that it was multiplied by -1, hence the range will be (-infinity, 0), hence the correct option is;

all real numbers less than 0.

More can be learned about exponential function concepts at https://brainly.com/question/25537936

Write 3 tenths and 9 hundredths as a decimal

Answers

Answer:

0.39

Step-by-step explanation:

1 tenth: 1/10 = 0.1

1 hundredth = 1/100 = 0.01

3(0.1) + 9(0.01)

0.3 + 0.09

0.39

.39
idk how to explain it....it’s just .39 trust me :)

Find the probability of drawing a 8 of Diamonds from a 52-card deck given the deck is properly shuffled.

Answers

Answer:

1/52

Step-by-step explanation:

There is only one 8 of diamonds in a deck of 52 cards.  The deck is properly shuffled, so every card has an equal probability of being selected.  So the probability is 1/52.

Solve the system of equation: y = x + 5 ; y = 2x +2 x= ? , y = ?

I need this ASAP
It's simple Please!!!!!!!

Answers

Answer:

x = 3

y = 8

Step-by-step explanation:

y = x + 5

y = 2x + 2

They both equal y, so:

x + 5 = 2x + 2

x + 3 = 2x

3 = x

Put the value of x into the equations:

y = 3 + 5 = 8

y = 2(3) + 2 = 8

x = 3

y = 8

so y= 2x + 2
x +5 = 2x +2
5 - 2 = 2x - x
3 = x

Use the correct order of operations to solve the problem below.
14 - 8 + 6 - 10 ÷ 2

A.
17
B.
-5
C.
9
D.
7

Answers

Answer:

D

Step-by-step explanation:

parenthesis

exponents

multiply or divide from left to right

add or subtract from left to right

14 - 8 + 6 - 5

6 + 6 - 5

12 - 5

7

Answer:

D. 7

Step-by-step explanation:

PEMDAS

there arent parentheses, exponets or multiplication but the is division

so divide first

14-8+6-5

Next subtract

6+6-5

then subtract from left to right

12-5

7

pi owns a cornfield and has placed fences around four polls, A, B, C, D that delimit the edges of the field. He needs to drive around the field every day to check whether anybody has tried to break in. The four poles are located at:

A (-2,1)
B (3,-11)
C (-2,-23)
D (-7,-11)

How many miles will pi drive if he starts at pole A and drives around the entire border of the field?

(please show the work)

Answers

Answer:

52 miles

Step-by-step explanation:

A to B:

sqrt( (3 - (-2))^2 + (-11 - 1)^2 )

sqrt( (5)^2 + (-12)^2 )

sqrt( 25 + 144 )

sqrt( 169 )

13

B to C:

sqrt( (-2 - 3)^2 + (-23 - (-11))^2 )

sqrt( (-5)^2 + (-12)^2 )

sqrt( 25 + 144 )

sqrt( 169 )

13

C to D:

sqrt( (-7 - (-2))^2 + (-11 - (-23))^2 )

sqrt( (-5)^2 + (12)^2 )

sqrt( 25 + 144 )

sqrt( 169 )

13

D to A:

sqrt( (-2 - (-7))^2 + (1 - (-11))^2 )

sqrt( (5)^2 + (12)^2 )

sqrt( 25 + 144 )

sqrt( 169 )

13

Adding:

13 + 13 + 13 + 13

52

will mark bianleast
What are the diameter and radius of a circle with a circumference of 32π ft?

d = 32 ft
r = 16 ft

d = 8 ft
r = 16 ft

d = 16 ft
r = 8 ft

d = 16 ft
r = 32 ft

Answers

Answer:r=16 ft , d =32 ft (a)

Step-by-step explanation:

c=2 pi r

32pi= 2 x pi x r

r=32 pi/2pi

r= 16

diameter = radius x 2

d= 16 x 2

d = 32

Fiona is trying to prove that a pair of expressions are equivalent by using substitution. Which pair of expressions has the same value if she substitutes y = 3?

Answers

Missing Part of the Question

3 (4 - y) -7 ; 5 + 3y 9 + y + 4y - 2 - 3y; -2y + 7 5 + y - 2 - 6y + y; 8y + 3 2y + 7 + y - 2 + y; 4y + 5

Answer:

2y + 7 + y - 2 + y; 4y + 5

Step-by-step explanation:

Given

y = 3

Required

Which pair of expression are equal

To get the pair of expression that are equal; we simply substitute 3 for y in each of the expressions

3 (4 - y) -7 and 5 + 3y

Substitute 3 for y in 3 (4 - y) -7

This gives 3(4 - 3) -7

= 3(1) - 7

= 3 - 7

= -4

Then Substitute 3 for y in 5 + 3y

This gives  5 + 3(3)

= 5 + 9

= 14

-4 and 14 are not equal

---------------------------------------------------------------------------------------

9 + y + 4y - 2 - 3y; -2y + 7

Substitute 3 for y in 9 + y + 4y - 2 - 3y

This gives 9 + 3 + 4(3) - 2 - 3(3)

= 9 + 3 + 12 - 2 - 9

= 13

Then Substitute 3 for y in -2y + 7

This gives  -2(3) + 7

= -6 + 7

= 1

13 and 1 are not equal

---------------------------------------------------------------------------------------

5 + y - 2 - 6y + y; 8y + 3

Substitute 3 for y in 5 + y - 2 - 6y + y

This gives 5 + 3 - 2 - 6(3) + 3

= 5 + 3 - 2 - 18 + 3

= -9

Then Substitute 3 for y in 8y + 3

This gives  8(3) + 3

= 24 + 3

= 27

-9 and 27 are not equal

---------------------------------------------------------------------------------------

2y + 7 + y - 2 + y; 4y + 5

Substitute 3 for y in 2y + 7 + y - 2 + y

This gives 2(3) + 7 + 3 - 2 + 3

= 6 + 7 + 3 - 2 + 3

= 17

Then Substitute 3 for y in 4y + 5

This gives  4(3) + 5

= 12 + 5

= 17

17 and 17 are equal

Hence, Option D is correct

Answer: 2y + 7 + y - 2 + y; 4y + 5

Step-by-step explanation: just did it

PLEASE HELP ASAP WILL MARK BRAINLIEST!!

Answers

Answer:

The answer is [9, 5, -4, 12]

Step-by-step explanation:

1) distribute the 3 within all the numbers on the right side. 3*2, 3*0, 3*-1, 3*4.

2) your right side should now have the numbers, 6, 0, -3, 12.

3) now add the numbers on the left with the numbers on the right, each should correspond with their place within the box. 3+6, 5+0 -1+-3 0+12

Hope this helps :)

A system of equations is given.

​y= x^2 −9
y= −2x−1

​What is one solution to the system of equations?

Answers

Answer:

(-4,7)

Explanation:

I graphed the two equations with a graphing tool.

The first equation forms a parabola.

The second equation is linear.

The graphed equations intercept at two points. Since the question asked for one, then one solution of the system is (-4,7).

Answer:

(- 4, 7 ) and (2, - 5 )

Step-by-step explanation:

Given the 2 equations

y = x² - 9 → (1)

y = - 2x - 1 → (2)

Substitute y = x² - 9 into (2)

x² - 9 = - 2x - 1 ( subtract - 2x - 1 from both sides )

x² + 2x - 8 = 0 ← in standard form

(x + 4)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

Substitute these values into (2) for corresponding values of y

x = - 4 → y = - 2(- 4) - 1 = 8 - 1 = 7 ⇒ (- 4, 7 )

x = 2 → y = - 2(2) - 1 = - 4 - 1 = - 5 ⇒ (2, - 5 )

Our school gets $100,000 in donations from celebrities to buy Chromebooks for class learning. Each Chromebook costs $385 plus $20 insurance. what is the maximum number of Chromebook that we can buy for our students? ​

Answers

Answer: 246 laptops.

Step-by-step explanation: if they each each take 20 for insurance and 385 then its 405 title. hen you take 100,000 and divide it by 405 getting 246.91358. but you cant buy .91358 of a computer so you round down.

PLEASE HELP ME!!! please asap

Answers

Answer:

Mean of the distribution shown in picture:

M = sum of all elements/number of elements

M = (2 + 6 + 4 + 2 + 0 + 1 + 6 + 4 + 2 + 1)/10 = 2.8

=> Option D is correct

(3 is closest number to mean = 2.8)

Hope this helps!

:)

A.) $203,000.00
B.) $177,000.00
C.) $207,000.00
D.) $197,000.00


Swell Computers is preparing to market a new microchip to upgrade computers already purchased by consumers. Management sees a huge potential for sales since people will not have to purchase a whole new computer system to have access to the latest technology, just this chip. The company has already determined that it can produce these chips for $8 each, with a $5000 start-up cost. Projections indicated that sales of x chips will generate a revenue of R(x)=200x-0.01x^2. How much profit do they hope to make on the first 1000 chips sold?

Answers

Answer:

A?

Step-by-step explanation:

Which expression is the factored equivalent of x2 - 5x + 4?
A.
(x - 1)(x - 4)
B.
(x - 3)(x - 1)
C.
(x + 4)(x + 1)
D.
(x + 1)(x - 4)

Answers

Answer:

Step-by-step explanation:

A

The factored equivalent of x² - 5x + 4 is option A: (x - 1)(x - 4).

To factor the quadratic expression x² - 5x + 4, we need to find two binomials that, when multiplied, will result in the given expression.

We can start by looking for two numbers whose product is 4 (the constant term) and whose sum is -5 (the coefficient of the x term).

The numbers that satisfy these conditions are -1 and -4, as (-1)(-4) = 4 and -1 + (-4) = -5.

Using these numbers, we can express the quadratic expression as:

x² - 5x + 4 = (x - 1)(x - 4)

Therefore, the factored equivalent of x² - 5x + 4 is option A: (x - 1)(x - 4).

Learn more about quadratic expression click;

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need this done as soon as possible pls help

Answers

Answer:

it should be 1.5 inches.....

I hope ya'll can answer this guys plz help more points!!!!!!

Answers

Answer:

32   (Answer D)

Step-by-step explanation:  

  -1

(4   )(2^3 / 16)

or:

  1            8*16

------- * ------------ = 32   (Answer D)

  4            1

Answer:

D

Step-by-step explanation:

A circle has a circumference of 32.4 mm. Find the radius and the diameter. Round your answers to two decimal places.
5.16 mm; 10.31 mm
10.31 mm; 5.16 mm
5.16 mm; 2.58 mm
2.58 mm; 5.16 mm

Answers

Answer:

5.16 mm; 10.31 mm

Step-by-step explanation:

Circumference: [tex]C = 2\pi r[/tex]

So all you do is:

[tex]32.4=2\pi r\\32.4/2\pi = r\\5.16 = r[/tex]

and then the radius is just half of the diameter so

[tex]5.16*2=10.31[/tex]

f (x) = 2 |* – 2] + 3

How to evaluate

Answers

Answer:

problem can't be solved

Step-by-step explanation:



Renan found the sum (4.2x + 3) + (5.7x – 2) + (5 – 2.6x), as shown.

4.2x + 3 + 5.7x – 2 + 5 – 2.6x

4.2x + 5.7x + 2.6x + 3 – 2 + 5

(4.2 + 5.7 + 2.6)x + 3 – 2 + 5

12.5x + 6

Answers

Answer:

He used the commutative property incorrectly.

Step-by-step explanation:

Answer:

a is correct

Step-by-step explanation:

helppp me its due today

Answers

Answer:

66.04

Step-by-step explanation:

0.13 * 508 = 66.04

Answer:

Step-by-step explanation:

508/x=13/100

508*100=50800

50800/3=?

now do that and simplify

Graph the equation.

X squared plus y squared equals 9

Answers

Answer:

Step-by-step explanation:

This graph is a circle. The general equation for a circle is x² + y² = r², where r is the radius. In this case, the radius is 3 because √9 = 3. Also, the center is (0,0) because the circle is not translated. Therefore, the graph is a circle with center (0,0) and radius 3. If you still need help, the y-intercepts are (0,±3) and the x-intercepts are (±3,0). Hope this makes sense!

Find the properties of the conic section
x
2
+
y
2
=
9
x
2
+
y
2
=
9
.
Center:
(
0
,
0
)
(
0
,
0
)
Radius:
3
3


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