Simplify the variable expression by evaluating its numerical part, and enter your answer below. g - 2/2

Answer:

Total mass =  105.8 gram (Approx)

Step-by-step explanation:

Given:

Atoms of Cl = 6.3 × 10²³

Find:

grams of AuCl₃

Computation:

Molecules of AuCl₃ = 6.3 × 10²³ / 3 = 2.1 × 10²³

1 mol of AuCl₃ = 6.022 × 10²³ molecules

Number of mol = 2.1 × 10²³ /  6.022 × 10²³

Number of mol  = 0.348 mol

So,

Molar mass of AuCl₃ = 303.33 g/mol

Total mass = 0.348 mol × 303.33 g/mol

Total mass =  105.8 gram (Approx)

Answer:

"The decimal number is just a shorthand way of writing a fraction with a denominator of one thousand. It means the very same thing as . But this is just the algorithm for dividing the numerator by the denominator to get the decimal digits ."

Step-by-step explanation:

This expression cannot be simplified, as you cannot add or subtract variables raised to different exponents.

Answer:

Step-by-step explanation:

6z⁶ - 21z⁴ - 12z² = 2*3*z⁶ - 3*7*z⁴ - 4*3*z²

                           = 3z² (2z⁴ - 7z² - 4)

Answer:

9:00 am -------------------- 12:00pm ( There are 180 minutes between them)

Go 48 minutes back (132 Minutes between them)

That time is divided by 2

(4x minutes past 9:00 and x minutes left to reach 12:00)

132/3 = 44 minutes are left

OR

12:00- 44 minutes = 11:16

11:16-48 minutes =10:28

9 am + 88minutes (44 x 2) = 10:28

Answer:

C

Step-by-step explanation:

That would be an isosceles triangle, therefore, acute. All angles measure 60, therefore being acute. I'm not 100% sure though.

Answer:

D. 65 degrees

Step-by-step explanation:

If two sides are congruent the corresponding angles are also congruent

Answer:

y=2x-3, x=23.5

Step-by-step explanation:

This is what i got.

The rectangular form of equation is y= x² /9 - 10x/9 - 34/9.

An equation made up of variables like x and y that can be plotted on a standard Cartesian plane is referred to as a rectangular equation or an equation in rectangular form.

Given:

x=3t+5.....(1)

y=t²-1.....(2)

From equation (1), we get

t= 1/3(x-5)

Now, put t in equation (2)

y= 1/9 (x- 5)² - 1

y = 1/9 x² - 25/9 -10x/ 9 - 1

y= x² /9 - 10x/9 - 34/9

Learn more about rectangular form here:

https://brainly.com/question/10345510

#SPJ2

Image is missing, so i have attached it

Answer:

21.07 mm²

Step-by-step explanation:

We will use the Formulas:

Area of semicircle = πr²/2

Area_rectangle = Length x width = Lw

We are given:

Length of rectangle = 14 mm

From the attached image, the diameter of the semicircle is equal to the length of the rectangle.

Thus;

diameter of semicircle = length of rectangle

Therefore,

diameter of semicircle = 14 mm

Also, from the attached image, the radius of the semicircle is equal to the width of the rectangle.

Thus;

diameter of semicircle/2 = radius of semicircle

Hence;

radius of semicircle = 14/2 = 7mm = width of rectangle

Thus;

Area of rectangle = L*w = 14 × 7 = 98 mm²

Area of semicircle = πr²/2 = π×7²/2 = 76.93 mm²

To get the area of the shaded region, we will subtract area of the semi-circle from the area of the rectangle.

Area of shaded region = Area_rectangle - Area_semicircle = 98 - 76.93 = 21.07 mm²

Answer:

The correct answer is:

L'(5,15), M'(12,-36), and N'(-21,-11)

Step-by-step explanation:

We are given the following points:

L(-5,15)

M(-12,-36) and

N(21,-11)

To find:

Reflection of the points across the y axis.

Solution:

To find the reflection of any point across y axis, we need to consider the y axis as the mirror and we need to find the location of the image in this manner.

Property of the image:

The image of point and actual point will be equidistant from the y axis.

If we find mirror image across y axis, there is change in only x coordinate value. There is no change in y axis value.

Let us take the first point:

L(-5,15)

x coordinate value -5 is on the left side of y axis.

The reflection will be 5 units on the right side of x axis

[tex]\therefore[/tex] L' (5, 15)

Let us take the second point:

M(-12,-36)

x coordinate value -12 is on the left side of y axis.

The reflection will be 12 units on the right side of x axis

[tex]\therefore[/tex] M'(12,-36)

Let us take the third point:

N(21,-11)

x coordinate value 21 is on the right side of y axis.

The reflection will be 21 units on the left side of x axis

[tex]\therefore[/tex] N'(-21,-11)

Please have a look at the attached figure for the points and their reflection.

Reflection triangles is shown as dotted line.

The correct answer is:

L'(5,15), M'(12,-36), and N'(-21,-11)

Answer:

Segment AB || Segment CD

Step-by-step explanation:

Two lines are said to be parallel (||) if they do not meet, even when extended to infinity.

Given: <1 ≅ <3, ΔACD is an isosceles triangle.

Proof: Segment AB || Segment CD

From the diagram given,

AC ≅ AD (side property of isosceles triangle)

<3 = <4 (base angle property of an isosceles triangle)

<1 = <4 (alternate angle property)

Therefore, segment AB is parallel to segment CD.

Answer:

A slope is a surface of which one end or side is at a higher level than another; a rising or falling surface

Step-by-step explanation:

Answer:

x²+15x+26

Step-by-step explanation:

zeros are x=-13, x=-2

x=-13 then x+13=0

x=-2 then x+2=0

(x+13) (x+2)

x²+15x+26

y=ax²+bx+c

Answer: c

Step-by-step explanation:

Answer:

(i)[tex]M \cup P=\{2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23,24,26,28,29,30\}[/tex]

(ii)M-T={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

(iii)P∪(M∩T) = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29}

(iv)P’U(M∩T’)={2,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30}

Step-by-step explanation:

Given the sets:

ε = {x: 2 ≤ x ≤30, x is an integer}

M = {even numbers}={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

P = {prime numbers}={2, 3, 5, 7, 11, 13, 17, 19, 23, 29}

T = {odd numbers} ={3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29}

(i)This is the union of sets M and P. (Do not repeat same elemnts)

[tex]M \cup P=\{2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23,24,26,28,29,30\}[/tex]

(ii)M-T: This is the set M less elements in set T.

Since [tex]M \cap T =\{\}[/tex], the set M-T=M.

M-T={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

(iii) P∪(M∩T)

[tex]M \cap T =\{\}[/tex]

Therefore:

P∪(M∩T) = P

P∪(M∩T) = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29}

(iv) P’U(M∩T’)

Since T is the set of odd numbers, its complement will be the set of even numbers.

T'=M={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

M∩T’=M={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

[tex]P' =\{4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30\}[/tex]

Therefore:

P’U(M∩T’) = {4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30} U {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

={2,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30}

Answer:

45 degrees

Step-by-step explanation:

corresponding angles have are equal

Answer:

[tex]\boxed{Area = 32.5 mm^2}[/tex]

Step-by-step explanation:

Area of Triangle = [tex]\frac{1}{2} (Base)(Height)[/tex]

Where base = 13 mm, Height = 5 mm

Area = 1/2 (13)(5)

=> Area = 1/2 (65)

=> Area = 32.5 mm^2

Answer:

c. 32.5 mm²

Step-by-step explanation:

The equation for the area of a triangle is a=1/2bh. In this equation you basically multiply the length of the base of the triangle times the height of the triangle and divide that by 2 to get the area. So, you would take 13, the base, and multiply it by 5, the height to get 65. Then, you would divide that by 2 to get 32.5 mm².

Answer:

Exact Form:65/14

Mixed number Form:4 9/14

Step-by-step explanation:

Answer:

4 9/14

as an improper fraction: 65/14

hopefully this helped :3

Answer:

Proved

Step-by-step explanation:

Taking R.H.S

=> [tex](x+y+z)[x(x+w^2y+wz)+wy(x+w^2y+wz)+w^2z(x+w^2y+wz)][/tex]

=> [tex](x+y+z)(x^2+w^2xy+wxz+wxy+w^3y^2+w^2yz+w^2xz+w^4yz+w^3z^2)[/tex]

Remember ∴ ω³ = 1

So we'll replace all ω³'s with 1

=> [tex](x+y+z)(x^2+y^2+z^2+w^2xy+wxy+w^2yz+w^4yz+w^2xz+wxz)[/tex]

=> [tex](x+y+z)[x^2+y^2+z^2+xy(w^2+x)+w^2yz+w^3*wyz+xz(w^2+w)][/tex]

Remember ∴ ω²+ω = -1

=> [tex](x+y+z)[x^2+y^2+z^2+xy(-1)+yz(w^2+w)+xz(-1)][/tex]

=> [tex](x+y+z)(x^2+y^2+z^2-xy-yz-xz)[/tex]

According to formula:

x³+y³+z³-3xyz = [tex](x+y+z)(x^2+y^2+z^2-xy-yz-xz)[/tex]

So, it becomes

=> [tex]x^3+y^3+z^3-3xyz[/tex]

Answer:

4.98

Step-by-step explanation:

Answer:

4.98

Step-by-step explanation:

Answer:

x=-24

Step-by-step explanation:

2/3 x +3 =1/4x-7

8/12x+3= 3/12x-7

5/12x + 3 = -7

5/12x = -10

5/12x (12/5) = -10(12/5)

x=-120/5

x=24

Step-by-step explanation:

X = the number of cards in his location

[tex]31 = (x+5)/2\\\\Multiply\\\\62 = x+5\\\\Subtract\\\\x = 57[/tex]

Hope this helps <3

Answer:

1. Equal domain, range, interval of increase and lack of asymptotes

The difference is the difference in slope

2. Equal domain, range, no increase or decrease (constant value) and lack of asymptotes

The difference is the difference in the y-intercept

Step-by-step explanation:

1. The similarities between the functions, y = 5·x and y = 3·x are;

a. The domain of y = 5·x is the set of all real numbers and the range is (-∞; ∞)

b.There are no critical point and the interval of increase is (-∞; ∞)

There are no asymptotes the line crosses the origin

The x and y intercept are both zero

Similarly, The domain of y = 3·x is the set of all real numbers and the range is (-∞; ∞)

There are no critical point and the interval of increase is (-∞; ∞)

There are no asymptotes the line crosses the origin

The x and y intercept are both zero

The difference between the functions, y = 5·x and y = 3·x is that the slope of y = 5·x is 5 and the slope of y = 3·x is 3

2.

The similarities between the functions, y = 4 and y = (2)  are;

a. The domain of y = 4 is the set of all real numbers (-∞; ∞), [tex]\left \{ x\mid x\in R \right \}[/tex] and the range is {4}

b.There are no critical point and no interval of increase or decrease

There are no asymptotes the line does not cross the origin

There are no x-intercept and y intercept is (0, 4)

Similarly, the domain of y = (2) is the set of all real numbers (-∞; ∞), [tex]\left \{ x\mid x\in R \right \}[/tex] and the range is {2}

There are no critical point and no interval of increase or decrease

There are no asymptotes the line does not cross the origin

There are no x-intercept and y intercept is (0, 2)

The difference between the functions, y = 4 and y = (2) is that the y-intercept of y = 4 is 4 and  the y-intercept of y = (2) is 2

Answer:  1) C. Reflexive Property of Congruence

               2) A. MD ≅ SG

               3) C. 5.3

               4) D. LK || MJ & JK ≡ LM

Step-by-step explanation:

1) An angle or side is congruent to itself by the Reflexive Property

2) TM ≡ LG       Sides are congruent (given)

   ∠M ≡ ∠G       Angles are congruent (given)

   MD ≡ SG       Sides are congruent                  

ΔTMD ≡ ΔLGS  Side-Angle-Side (SAS) Theorem

Note: The angle must connect the two sides

3) Use similarity proportion

[tex]\dfrac{6}{x}=\dfrac{9}{8}\\\\\\48=9x\\\\\\\dfrac{48}{9}=x\\\\\\5.3=x[/tex]

4) In order to prove a polygon is a parallelogram, you must show

Step-by-step explanation:

a^4  - a^4 = (a^2 +a^2)(a^2-a^2)

a^4 - a^4 = (a^2 + a^2)(a+a)(a-a)

there is no need of this solution, because it equal to 0 because a^4 - a^4 will be equal then it will be 0

 i hope this will help you

Answer:

Hello There!

~~~~~~~~~~~~~~~

a² ÷ a⁴ × a² =

1

Step-by-step explanation: Simplify the expression.

Hope this helped you! Brainliest would be nice!

☆_____________❤︎______________☆

Answer: B) 6

Step-by-step explanation:

First let's distribute the left side of the equation.

k - 16 + 4k = -2(2k -1) + 6k

Then let's combine like terms on the left side of the equation.

5k - 16 = -2(2k - 1) + 6k

Then let's distribute the right side of the equation.

5k - 16 = -4k + 2 + 6k

Then let's combine like terms on the right side of the equation.

5k - 16 = 2k + 2

Then let's move all the x's to one side, and all the constants to the other.

3k = 18

Then divide both sides of the equation by 3.

k = 6

Hope it helps <3

Answer:

6

Step-by-step explanation:

k - 16 + 4k = -2(2k -1) + 6k

5k - 16 = -2(2k - 1) + 6k

5k - 16 = -4k + 2 + 6k

5k - 16 = 2k + 2

3k = 18

k = 6

Answer:

68

Step-by-step explanation:

Step 1: Convert fraction to improper

4 1/4 = 16/4 + 1/4 = 17/4

Step 2: Multiply 16 and 17/4

16(17/4) = 272/4 = 68

Answer:

IJ = 6

Step-by-step explanation:

This is a 30-60-90 triangle.

The ratio of the lengths of the sides is:

1 : sqrt(3) : 2

The short leg is the length of the long leg divided by sqrt(3).

The hypotenuse is twice the length of the short leg.

IK = JK/sqrt(3) = 3sqrt(3)/sqrt(3) = 3

IJ = 2IK = 2(3) = 6

Answer:

30° and 60°

Step-by-step explanation:

Step 1: Write out equation

x + (x + 30) = 90

Step 2: Solve for x

2x + 30 = 90

2x = 60

x = 30

Step 3: Find other angle

90 - 30 = 60

Answer:

30 and 60

Step-by-step explanation:

Let x be one  angle

x+30 is the other angle

Complementary angles add to 90

x+ x+30 = 90

2x+30 = 90

Subtract 30 from each side

2x=90-30

2x= 60

Divide by 2

2x/2 = 60/2

x = 30

The angles are 30 and 30+30 = 60

Answer:

d: 2.6179, e: 4.1887, f: 5.2359 all in rad

Step-by-step explanation:

(d): 150°degrees

150° × π / 180°

= 0.83333333333π rad

= 2.6179 rad

(e):240°degrees

240° × π / 180°

= 1.3333333333π rad

= 4.1887 rad

(f): 300°degrees

300° × π / 180°

= 1.6666666667π rad

= 5.2359 rad

If all my stuff is correct please give me an 5/5 and a thanks. :)