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3 years ago

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15.0mL 40.5g. What’s the density

1 answer:

Salsk061 [2.6K]3 years ago

7 0

Density is mass/volume.

40.5g/15.0mL = 2.7g/mL

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Write the equation of the sphere in standard form. x^2 + y^2 + z^2 + 2x − 4y − 6z = 22

madam [21]

The equation $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ in standard form looks like $(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$ .

Given equation of sphere be $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ .

We are required to express the given equation in the standard form of the equation of sphere.

Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like $x^{2} +y^{2} +z^{2} =r^{2}$ .

The given equation is $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ .

We have to break 22 which is in right side into various parts according to the left side of the equation.

$x^{2} +y^{2} +z^{2} +2x-4y-6z=-1-4-9+36$

$x^{2} +y^{2} +z^{2} +2x-4y-6z+1+4+9=36$

$x^{2} +1+2x+y^{2}+4-4y+z^{2} +9-6z=36$

$x^{2} +(1)^{2} +2*1*x+y^{2} +(2)^{2} -2*2y+z^{2} +(3)^{2} -2*3z=36$

$(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$

Hence the equation $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ in standard form looks like $(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$ .

Learn more about equations at brainly.com/question/2972832

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1 year ago

(a) Fiona has $450 in her savings account. She deposits $40 each month. Liam has $975 in his checking account. He writes a check

kenny6666 [7]

Answer:

y=450+40x y=975-65x

Step-by-step explanation:

at five months they will have the same amount of money in their accounts

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3 years ago

Suppose that E and F are two events and that N (E and F) = 260 and N(E) = 630. What is P(F|E)?

Sveta_85 [38]

Answer: 0.4127

Step-by-step explanation:

The probability formula to find p(F/E):

p(F/E)= N(E n F) / N(E)

p(F/E)= 260 / 630

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fiasKO [112]

The answer is B.g(x) hope it helped!!

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3 years ago

A volume a cylinder: V = 1\3 pi [tex] x^{2} h solve for h PLZ HELP!!!

DedPeter [7]

Volume = π • r² • height

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Source www.1728.com/diamform.htm

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3 years ago