30PTS PLEASE I NEED HELP Factor completely: 64y^3 -729z^3

Answers

Answer 1

Answer:  (4y-9z)( 16y^2 + 36yz + 81z^2 )

=======================================================

Explanation:

We'll use the difference of cubes factoring rule

a^3 - b^3 = (a-b)(a^2+ab+b^2)

In this case,

a^3 = 64y^3 which leads to a = 4yb^3 = 729z^3 which leads to b = 9z

So,

a^3 - b^3 = (a-b)(a^2+ab+b^2)

64y^3 - 729z^3 = (4y-9z)( (4y)^2 + (4y)(9z) + (9z)^2 )

64y^3 - 729z^3 = (4y-9z)( 16y^2 + 36yz + 81z^2 )


Related Questions

someone help me solve this pls !!

Answers

Answer:

9 (or 18)

9 (or 18)

18 (or 36)

Step-by-step explanation:

If B is midpoint if AC, then AB = BC

AB = 3x

BC = 5x - 6

So...

3x = 5x - 6

==> 2x = 6

==> x = 3

AB = BC = 3×3 = 5×3 - 6 = 9

And...

AC is AB + BC (since B is midpoint)

==> AC = 9 + 9 = 18

((Answer may be twice this. Picture is unclear if "3x" and "5x - 6" are values of AB and BC (resp.) or if they are midpoint values of AB and BC, in which case everything would just be doubled (except for x, the 2's would cancel out).))

Help and please explain I don't get khan academy

Answers

Answer:

same y intercept

Step-by-step explanation:

The y intercept is when r = 0

Function 1

p = -3/2 r - 5

Let r = 0

p = 0-5

p = -5

Function 2

When r = 0  p = -5

They both equal -5, so they both have the same y intercept

222222222222222222222222222222

SOMEONEEEE HELPPP MEEEEE PLEASEEEE!!!!

Answers

Answer:

[tex]{ \tt{ \tan(x) = \frac{opposite}{adjacent} }} \\ \\ { \tt{ \tan( \theta) = \frac{30}{16} }}[/tex]

shanika has a lamp that she wants to send to her sister in baltimore.the lamp is in the shape of a rectangular prism.it measures 14 high, 9 wide, and 3 long.she wants to buy a box so that there is 1 all around the lamp for bubble wrap

Answers

Consider we need to find the dimensions and volume of the box.

Given:

The shape of the lamp is a rectangular prism.

It measures 14 high, 9 wide, and 3 long.

There is 1 all around the lamp for bubble wrap

To find:

The dimensions and volume of the box.

Solution:

Length of the box is:

[tex]3+2=5[/tex]

Width of the box is:

[tex]9+2=11[/tex]

Height of the box is:

[tex]14+2=16[/tex]

Therefore, the dimensions of the box are 5 by 11 by 16 units.

The volume of the box is:

[tex]V=l\times w\times h[/tex]

Where, l is length, w is width and h is height.

Putting [tex]l=5, w=11, h=16[/tex], we get

[tex]V=5\times 11\times 16[/tex]

[tex]V=880[/tex]

Therefore, the volume of the box is 880 cubic units.

what is the approximate area of the shaded region under the standard normal curve below? Use the portion of the standard normal table given to help answer the question.
a. 0.02
b. 0.14
c.0.34
d.0.84

Answers

You want to find Pr[-2 < Z < -1].

The table tells you that

• Pr[Z < 0] = 0.5000

• Pr[Z < 1.00] = 0.8412

• Pr[Z < 2.00] = 0.9772

• Pr[Z < 3.00] = 0.9987

We have

Pr[-2 < Z < -1] = Pr[Z < -1] - Pr[Z < -2]

(because the distribution of Z is continuous)

… = Pr[Z > 1] - Pr[Z > 2]

(by symmetry of the distribution about its mean)

… = (1 - Pr[Z < 1]) - (1 - Pr[Z < 2])

(by definition of complement)

… = Pr[Z < 2] - Pr[Z < 1]

… = 0.9772 - 0.8412

… = 0.1360 ≈ 0.14 … … … (B)

Answer:

it's B aka 0.10.14

Step-by-step explanation:

What is sin 28°?
62
8
17
90
15
28
A.
Sooden
O c.
O

Answers

Answer:

the sin of 28 degree is 28

Step-by-step explanation:

it's the same degree in radians I hope this help

Taylor has nickels and dimes. The number of nickels is 7 less then eight times the number of dimes. If d represents the number of dimes then the number of nickels can be expressed as what

Answers

Answer: [tex]8d-7[/tex]

Step-by-step explanation:

Given

Taylor has nickels and dimes

Number of nickels is 7 less than eight times the number of dimes

If d is the number of dimes, then number of nickels is given by

[tex]\Rightarrow \text{Number of Nickels = }8d-7[/tex]

Someone help me pls ..

Answers

Answer:

because they are both in the circle

Step-by-step explanation:

Examine circle O, where chords AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are congruent.

Point P lies on AB¯¯¯¯¯¯¯¯ and point Q lies on CD¯¯¯¯¯¯¯¯.
Angles APO and DQO are right angles.

The diagram as described in the problem.



Which congruence statement is true?
CD≅AP
QD≅QO
OP≅OQ
OP≅AB

Answers

the second one QD=QO

Sophia pays £222 for a plane ticket.
She also pays 100 euros airport tax.
The exchange rate is £1 = 1.38 euros.
What percentage of the total cost of the ticket and the airport tax does Sophia pay
for the
airport tax?
Give your answer correct to 1 decimal place.

Answers

9514 1404 393

Answer:

  24.6%

Step-by-step explanation:

The cost of the ticket in euros is ...

  £222 × €1.38/(£1) = €306.36

Then the ratio of the tax to the to the total cost is ...

  €100/(€306.36 +100) = 100/406.36 ≈ 24.6%

Find the value of x for the right triangle.

Answers

x = 4.5

This is a 90° 60° 30° triangle, meaning that the bottom will be x, the right side will be x √3, and 9 is actually 2x

Determining if a Relationship Is a Function
Which represents a function?

Answers

Answer:

only the first one...

a "FUNCTION" has a UNIQUE relation between each input and output...

notice the middle one the -2 goes to BOTH th2 10 & -7 that makes it NOT a FUNCTION

Step-by-step explanation:

Seventy of Myra’s classmates are traveling by bus to a football game in another town. They hired 2 buses, but there were only 64 seats. The remaining 6 students had to travel in a separate van.
The equation 2b + 6 = 70 represents the given scenario. What does b represent?

Answers

Answer:

seats in each bus

Step-by-step explanation:

total no.of seats = 64

so, the no.of seats in each bus = 64/2 =32

therefore ,  b denotes the no.of seats in each bus

PLEASE MARK ME AS BRAINLIEST .

Can someone help me please

Answers

Answer:

ok

Step-by-step explanation:

Two legs of a right triangle measure 23 inches and 38 inches. What is the length of the hypotenuse, to the nearest
inch?

Answers

Answer:

hypotenuse ≈ 44 inches

Step-by-step explanation:

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other two sides.

let the hypotenuse be h , then

h² = 23² + 38² = 529 + 1444 = 1973 ( take square root of both sides )

h = [tex]\sqrt{1973}[/tex] ≈ 44 inches ( to the nearest inch )

Somebody give the answer to the question attached please

Answers

The above answer is correct

How much money invested at 3% compounded monthly for 3 years will yield $520?
$179.42
$475.30
$358.84
$148.78

Answers

Answer:

Step-by-step explanation:

Use this formula:

[tex]A(t)=P(1+\frac{r}{n})^{nt}[/tex] where A(t) is the amount after the compounding is done, P is the initial investment (our unknown), r is the interest rate in decimal form, n is the number of compoundings per year, and t is the time in years. Filling in:

[tex]520=P(1+\frac{.03}{12})^{(12)(3)}[/tex] and simplifying that a bit:

[tex]520=P(1+.0025)^{36[/tex] and a bit more:

[tex]520=P(1.0025)^{36[/tex] and even  bit more:

520 = P(1.094551401) and divide to get

P = $475.30

How to find the exact answer of the area and circumference
I know how to find the approximate answer for both but i don’t know how to find the exact answer. Pi should be included in the exact fraction.
Can someone explain pls:)

Answers

Answer:

[tex]\pi \\[/tex] is irrational so any attempt to use 3.14... is never EXACT...

do not try to convert it ... if it asks for exact..

write 81[tex]\pi \\[/tex]  or 9 [tex]\pi \\[/tex]  etc. don't put in 63.62 like answers

Step-by-step explanation:


Find the measure of each angle indicated.
890
50°
A) 44°
C) 47°
B) 51°
D) 71°

Answers

Answer:

51

Step-by-step explanation:

See the other answer

Answer:

(B). 51°

Step-by-step explanation:

A record club has found that the marginal​ profit,

Upper P prime (x )​, in​ cents, is given by

Upper P prime (x )equals negative 0.0008 x cubed plus 0.20 x squared plus 46.8 x for x less than or equals 200​,

where x is the number of members currently enrolled in the club. Approximate the total profit when 120 members are enrolled by computing the sum

Summation from i equals 1 to 6 Upper P prime (x Subscript i Baseline )Upper Delta x with Upper Delta x equals 20.

Answers

Solution :

Given :

[tex]$P'(x) = -0.0008x^3+0.20x^2+46.8x,$[/tex]    for x ≤ 200

Total profit when 120 members are enrolled is :

[tex]$\sum_{i=1}^6P'(x_i) \Delta x$[/tex]      with [tex]\Delta x = 20[/tex]

Using the left end points, we get,

The values of [tex]x_i[/tex] are : { 0, 20, 40, 60, 80, 100}

Therefore,

[tex]$P'(x_1) = P'(0)=-(0.0008)(0)^3+(0.20)(0)^2+(46.8)(0)$[/tex]

                        = 0

[tex]$P'(x_2) = P'(20)=-(0.0008)(20)^3+(0.20)(20)^2+(46.8)(20)$[/tex]

                          = 1009.6

[tex]$P'(x_3) = P'(40)=-(0.0008)(40)^3+(0.20)(40)^2+(46.8)(40)$[/tex]

                         =  2140.8

[tex]$P'(x_4) = P'(60)=-(0.0008)(60)^3+(0.20)(60)^2+(46.8)(60)$[/tex]

                         = 3355.2

[tex]$P'(x_5) = P'(80)=-(0.0008)(80)^3+(0.20)(80)^2+(46.8)(80)$[/tex]

                         = 4614.4

[tex]$P'(x_6) = P'(100)=-(0.0008)(100)^3+(0.20)(100)^2+(46.8)(100)$[/tex]

                           = 5880

[tex]$\sum_{i=1}^6P'(x_i) \Delta x = P'(x_1)\Delta x + P'(x_2)\Delta x + P'(x_3)\Delta x + P'(x_4)\Delta x + P'(x_5)\Delta x + P'(x_6)\Delta x $[/tex]  

= (0)(20) + (1009.6)(20) + (2140.8)(20) + (3355.2)(20) + (4614.4)(20) + (5880)(20)

= (20)( 0 + 1009.6 + 2140.8 + 3355.2 + 4614.4 + 5880)

= (20)(17,000)

= 340,000 cents

[tex]$=\frac{340000}{100} \ \text{dollars}$[/tex]

= 3400 dollars

Hence, the required total profit is 3400 dollars.

An amusement park charges and admission fee of 30 dollars for each person. Let C be the cost (in dollars) of admission for P people. Write an equation relating C to P.

Answers

Answer:

14

Step-by-step explanation: B is the midpoint of AC, in other words it is the halfway point.

So A to B should be equal to B to C

Our expression is:

2x + 9 = 37

Subtract 9

2x = 28

Divide by 2

x = 14

The measures of a rectangle are 8 inches by 15 inches. Find the length of the diagonal.

Answers

Answer:

17

Step-by-step explanation:

The diagonal forms a triangle.

Use the Pythagorean theorem

Diagonal = sqrt(8^2 + 15^2)

Diagonal = sqrt(64 + 225)

Diagonal = sqrt( 289)

Diagonal = 17

Answer: 17 inches

Select the correct answer.
Function h is a transformation of the parent exponential function, f(x) = 2^x.
.h(x)=-3.2^x
-
Which statement is true?

Answers

F(x)=2^x is the answer

Which of the following equations would not have a solution that is the same as the solution to the system. shown below?

4x+y=7
-2x+5y=1

———————————————

1) 11y = 9

2) 2x + 6y = 8

3) -4x + 10y = 1

4) 12x + 3y = 21

please help asap and thank you in advance to anyone who answers this for me ! :)

Answers

Answer:

Step-by-step explanation:

A certain forest covers an area of 2300 km. Suppose that each area decreases by 5.75%. What will be the area after 12 years?

Answers

Answer:

The correct answer is 2043 km².

Step-by-step explanation:

Given:

Starting area,

A = 2300 km²

Rate of decreasing,

r = 5.75%

Time,

t = 12 years

As we know,

⇒ [tex]y = A(1-r)^t[/tex]

By substituting the values, we get

      [tex]=2300(1-0.0575 )^{12}[/tex]

      [tex]=2300(0.9425)^{12}[/tex]

      [tex]=2300\times 0.8883[/tex]

      [tex]=2043 \ km^2[/tex]

Find the value of x.
B
X+2
3
D
E
х
2
А
x = [?]

Answers

Answer:

x = 4

Step-by-step explanation:

The line DE is parallel to AC and divides the sides proportionally, that is

[tex]\frac{BD}{AD}[/tex] = [tex]\frac{BE}{CE}[/tex] , substitute values

[tex]\frac{x+2}{x}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )

3x = 2(x + 2) = 2x + 4 ( subtract 2x from both sides )

x = 4

A football was kicked through the air and it followed the path h\left(s\right)=-3s^2+75h(s)=−3s 2 +75 . Let h\left(s\right)h(s) represent the height of the soccer ball after, s, seconds.

Answers

Complete question is;

A soccer ball was kicked through the air and it followed the path. Let h(s) = −3s² +75 represent the height of the soccer ball after s seconds.

Find the time at which the soccer ball hits the ground.

Answer:

s = 5 seconds.

Step-by-step explanation:

We are given the function;

h(s) = −3s² +75

Where;

h(s) is height at time s

s is the time taken

Now, the time at which the time at which the soccer ball hits the ground would be at h(s) = 0 since height is at 0 point.

Thus;

−3s² +75 = 0

−3s² = -75

s² = 75/3

s² = 25

s = √25

s = 5 seconds.

Mr Lorenzo must make a minimum of 48 circuit boards per day. On Wednesday he made 60. What percent of required minimum did he make

Answers

Answer:

He made 125% of the required minimum.

Step-by-step explanation:

Percentage:

The percentage that a number b is of a is given by:

[tex]P = \frac{100b}{a}[/tex]

In this question:

Minimum of 48, made 60. The percentage 60 is of 48 is:

[tex]P = \frac{100(60)}{(48)} = 100(1.25) = 125[/tex]

He made 125% of the required minimum.

I’m stuck on this one help anyone?

Answers

Answer:

just add a small amount to the 2.8 and square the result

Step-by-step explanation:

x x^2

2.8 7.84

2.81 7.8961

2.82 7.9524

2.83 8.0089

2.84 8.0656

2.85 8.1225

2.86 8.1796

2.87 8.2369

In a shipment of airplane parts, 6% are known to be defective. If 42 parts are found to be defective, how many parts are in the shipment?

Answers

Answer:

700 parts

Step-by-step explanation:

To find the total amount of parts in the shipment, all we need to do is divide.

6% = 0.06

42 / 0.06 = 700

Best of Luck!

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