Factorize 1000x³- 27y³​

Answer:

Step-by-step explanation:

Step 1: Identify the GCF of the polynomial.

Step 2: Divide the GCF out of every term of the polynomial. ...

Step 1: Identify the GCF of the polynomial. ...

Step 2: Divide the GCF out of every term of the polynomial.

Step 1: Identify the GCF of the polynomial. ...

Step 2: Divide the GCF out of every term of the polynomial .

Answer:

3(x−4)(x+2)

Step-by-step explanation:

Answer:

28 cups of punch

Step-by-step explanation:

you add all of the quarts, in total you get 7

in 1 quart there is 4 cups, So...

7x4 =28

Answer:

depends on the glass

Step-by-step explanation:

Step-by-step explanation:

it depends of the size of the glass and the measurement of the amount of water the glass can carry

Answer:

f=-15

Step-by-step explanation:

Let's solve your equation step-by-step.

f /3 +22=17

Step 1: Simplify both sides of the equation.

1 /3 f+22=17

Step 2: Subtract 22 from both sides.

1/ 3 f+22−22=17−22

1/3f=-5

Step 3: Multiply both sides by 3.

3*(1/3f)=(3)*(-5)

f=−15

Answer:

f=−15

The value of the variable f for the given expression is f=-15.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is f/3+22=17. The value of f will be calculated as:-

f /3 +22=17

Step 1: Simplify both sides of the equation.

1 /3 f+22=17

Step 2: Subtract 22 from both sides.

1/ 3 f+22−22=17−22

1/3f=-5

Step 3: Multiply both sides by 3.

3*(1/3f)=(3)*(-5)

f=−15

Hence, the value of f will be -15.

To know more about an expression follow

https://brainly.com/question/25968875

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Answer:

3.33

Step-by-step explanation:

To solve for x you must divide both sides of the equation by 18. This is the DPE. Then the two 18s cancel each other out leaving u with x. Then divide 60 by 18 which then equals to 3.33. This Then gives the answer x=3.33.

Answer:

About 432 people read at least one book per month.

Step-by-step explanation:

36/50 people read at least one book, multiply 36/50 by 12 to make the fraction 432/600.

Answer:

$250,000

Step-by-step explanation:

, but it is the only thing I

Answer:

$240,000 in bank a, $240,000 in bank b, $245,000 in bank c

Step-by-step explanation:

ap3xxxx babeyyy

Answer:

13.825, 13, -13 25/40

Answer:

13.825, 13, and -13 25/40

Step-by-step explanation:

Hope this helps :)

Answer:Yes, your answers are correct.

The volume of a cone is given by V = 1/3πr²h.  Since the diameter of the first cone is 4, the radius is 2; therefore the volume is

V = 1/3π(2²)(8) = 32π/3

We divide the volume of the sink, 2000π/3, by the volume of the cone:

2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.

The diameter of the second conical cup is 8, so the radius is 4.  The volume then is:

V = 1/3π(4²)(8) = 128π/3

Dividing the volume of the sink, 2000π/3, by 128π/3:

2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16

Step-by-step explanation:

Answer:

100(1+8/100)5=146,93

Step-by-step explanation:

then take 100-146,93=46,93

Answer:

sorry but I don't know the answer

Answer:

138650

Step-by-step explanation:

let the total nunber of employees be x

16.3% of x = 22 600

16.3

----- × x = 22 600

100

x = 22 600 × 100

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

16.3

x = 138 650.3067

x = 138 650 (to the nearest whole number)

Answer:

83.8 cm^3

Step-by-step explanation:

Volume of Cylinder = πr^2h

Volume of Full Sphere = 4/3πr^3

Answer:

2/5 = 4/10 < 5/10 = 1/2, i.e. 2/5<1/2; therefore, 2/5 is closer to 1/2 than to 1.

Step-by-step explanation:

Answer:

7 x (8 ÷ 5)

hhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

It produces 120 bottles in one hour.

Step-by-step explanation:

This question can be solved by proportions.

24 Pepsi bottles of one liter capacity each in 12 minutes

24/12 = 2 bottles per minute.

How many Pepsi bottles does it produce in one hour?​

One hour has 60 minutes. So

60*2 = 120

It produces 120 bottles in one hour.

Answer:

Step-by-step explanation:

Order of operations is PEMDAS

Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

Here the first operation is multiplication

2-2*2+2

2-4+2 then addition/subtraction from left to right

-2+2

0

So the expression 2-2*2+2 is equal to zero.

the answer is 48 because  8*6=48

Answer:

D. 309.12

Step-by-step explanation:

The computation of the area is shown below:

As we know that

Area = a4s

where

a denotes apothem

s denotes side

So, the area is

= 9.66 (4) (8)

= 9.66 (32)

= 309.12 square units

Here's link to the answer:

tinyurl.com/wpazsebu

Answer:

i believe the answer is D

Step-by-step explanation:

im not entirely sure but that's what i got.

Answer:

[tex]P(X = x) = \frac{2^{3-x}}{27}[/tex]

Step-by-step explanation:

Given

[tex]Black = 4[/tex]

[tex]Green = 2[/tex]

[tex]r = 3[/tex] --- selected balls (with replacement)

Required

Determine the probability distribution for the green balls.

Let x be a [tex]random\ variable[/tex] such that:

[tex]x = 0, 1, 2, 3[/tex]

Because it is a selection with replacement

The probability of a green ball being drawn is always:

[tex]P(G) = \frac{Green}{Total}[/tex]

[tex]P(G) = \frac{2}{6}[/tex]

[tex]P(G) = \frac{1}{3}[/tex]

The probability of a black ball being drawn is always:

[tex]P(B) = \frac{Black}{Total}[/tex]

[tex]P(B) = \frac{4}{6}[/tex]

[tex]P(B) = \frac{2}{3}[/tex]

So, the probability distribution of green is:

[tex]P(X = x) = (P(B))^{3-x} * (P(G))^x[/tex]

[tex]P(X = x) = (\frac{2}{3})^{3-x} * (\frac{1}{3})^x[/tex]

Apply law of indices

[tex]P(X = x) = \frac{2^{3-x}}{3^{3-x}} * \frac{1^x}{3^x}[/tex]

[tex]P(X = x) = \frac{2^{3-x}*1^x}{3^{3-x}*3^x}[/tex]

[tex]P(X = x) = \frac{2^{3-x}*1}{3^{3-x+x}}[/tex]

[tex]P(X = x) = \frac{2^{3-x}*1}{3^3}[/tex]

[tex]P(X = x) = \frac{2^{3-x}}{27}[/tex]

Answer:

132 degrees.

Step-by-step explanation:

Since the lines are parallel, the opposite angle is always the same, and since 48 degrees was the smaller bottom angle, the upper smaller angle is also 48 degrees. The line's total angle is 360 degrees, so 48 + 48 is 96, and 360 - 96 is 264, and then 264 divided by 2 is 132, so the larger angles on both intersections are 132 degrees.

Answer:

3710

Step-by-step explanation:

A=b*h

70x53=3710

Answer:

[tex]\mathbf{3x^2y^3+2xy^4=C}[/tex]

Step-by-step explanation:

From the differential equation given:

[tex]6xy^3 +2y ^4 +(9x^2y^2+8xy^3) y' = 0[/tex]

The equation above can be re-written as:

[tex]6xy^3 +2y^4 +(9x^2y^2+8xy^3)\dfrac{dy}{dx}=0[/tex]

[tex](6xy^3 +2y^4)dx +(9x^2y^2+8xy^3)dy=0[/tex]

Let assume that if function M(x,y) and N(x,y) are continuous and have continuous first-order partial derivatives.

Then;

M(x,y) dx + N (x,y)dy = 0; this is exact in R if and only if:

[tex]\dfrac{{\partial M }}{{\partial y }}= \dfrac{\partial N}{\partial x}}} \ \ \text{at each point of R}[/tex]

relating with equation M(x,y)dx + N(x,y) dy = 0

Then;

[tex]M(x,y) = 6xy^3 +2y^4\ and \ N(x,y) = 9x^2 y^2 +8xy^3[/tex]

So;

[tex]\dfrac{\partial M}{\partial y }= 18xy^3 +8y^3[/tex]

       [tex]\dfrac{\partial N}{\partial y }[/tex]

Let's Integrate [tex]\dfrac{\partial F}{\partial x}= M(x,y)[/tex] with respect to x

Then;

[tex]F(x,y) = \int (6xy^3 +2y^4) \ dx[/tex]

[tex]F(x,y) = 3x^2 y^3 +2xy^4 +g(y)[/tex]

Now, we will have to differentiate the above equation with respect to y and set [tex]\dfrac{\partial F}{\partial x}= N(x,y)[/tex]; we have:

[tex]\dfrac{\partial F}{\partial y} = \dfrac{\partial}{\partial y } (3x^2y^3+2xy^4+g(y)) \\ \\ = 9x^2y^2 +8xy^3 +g'(y) \\ \\ 9x^2y^2 +8xy^3 +g'(y) =9x^2y^2 +8xy^3 \\ \\ g'(y) = 0 \\ \\ g(y) = C_1[/tex]

Hence, [tex]F(x,y) = 3x^2y^3 +2xy^4 +g(y) \\ \\ F(x,y) = 3x^2y^3 + 2xy^4 +C_1[/tex]

Finally; the general solution to the equation is:

[tex]\mathbf{3x^2y^3+2xy^4=C}[/tex]

Step-by-step explanation:

4

[tex]4\pi \times {r}^{3} \\ 4 \times 3.14 \times 1 \times 1 \times 1 \\ 12.56[/tex]