Factor out the GCF of the three terms, then complete the factorization of x^4+9x^3+14x^2

Answer is in the photo. I can only upload it to a file hosting service. link below!

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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

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:

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.

Step-by-step explanation:

For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (5,-4).

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]

Answer:

( 2 , 2 )

Step-by-step explanation:

Solve the eqaution :

3x +2y=10

4x-y=6

Solve the eqaution for y :

3x + 2y = 10

y = -6 + 4x

Substitute for y : 3x + 2 ( -6 + 4x ) = 10

x = 10

Substitute for the value of x : x = 2

Substitute the given value of x into the eqaution

y = -6 + 4x : y = -6 + 4 × 2

Solve the eqaution: y = -6 + 4 × 2

solve the eqaution for y : y = 2

y = 2 A possible solution : the ordered solution pair is

( 2 , 2 )

Answer:

7 x (8 ÷ 5)

hhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

13.825, 13, -13 25/40

Answer:

13.825, 13, and -13 25/40

Step-by-step explanation:

Hope this helps :)

Answer:

answer is A -659.58

Step-by-step explanation:

Is it rt?

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

#SPJ2

Answer:

83.8 cm^3

Step-by-step explanation:

Volume of Cylinder = πr^2h

Volume of Full Sphere = 4/3πr^3

Here's link to the answer:

tinyurl.com/wpazsebu

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.

Answer:

3(x−4)(x+2)

Step-by-step explanation:

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:

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:

108

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

as BC║DE

so, AD:BD=AE:CE

   or, CE=(BDₓAE)/AD

   or, x=(5×16)/20=4

0/52 I think thats the answer

Answer:

31/40

Step-by-step explanation:

Answer:

264

Step-by-step explanation:

3 + 8 = 11

3 - 1 = 2

3 - 1 = 2

2 + 4 = 6

11 x 2 x 2 x 6 = 264

Answer:its obviously 128

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:

4x + 10 is less than or equal to 18

Hope this helps :) Good Luck!

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:

C IS 36 CUZ 12X3=36

Step-by-step explanation:

sry i only can solve c