Which of the following lists of ordered pairs is a function?
OA. (2, 5), (3, 6), (6, 9)
B. (1, 2), (4, 0), (3, 5), (4, 3)
C. (-1, 2), (2, 3), (3, 1), (2, 5)
D. (2,5), (3, 6), (2, 1)

To solve this problem, we have to apply mole-concept to this and we would need the molar mass of AlCl3.  2g of AlCl3 contains 9.034*10^21 molecules.

The molar mass of AlCl3 is given as 133.34g/mol

Data;

Using the mole concept, we can equate the molar mass to the number of molecules present in the entity.

[tex]133.34g = 6.023*10^2^3[/tex]

If we equate this

[tex]133.34g = 6.023*10^2^3\\2g = x molecules\\x = \frac{2*6.023*10^2^3}{133.34} \\x = 9.034*10^2^1 molecules[/tex]

From the calculations above, 2g of AlCl3 contains 9.034*10^21 molecules.

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Answer:

27

Step-by-step explanation:

One face of the cube is 9 square cm (54/6). So the length of an edge is 3 cm.

3x3x3 = 27

[tex] \frac{ - 1}{2} [\cos(8x(x + 3))]+ c[/tex]

Answer:

[tex]\large \text{$ -\dfrac{1}{2}\cos (8x^2+24x) + C $}[/tex]

Step-by-step explanation:

[tex]\large \displaystyle\begin{aligned}\textsf{let }\:u & =8x^2+24x\\\\\implies \dfrac{du}{dx} & =16x+24\\ & =2(8x+12)\\\\\implies dx & =\dfrac{1}{2(8x+12)}\: du\\\end{aligned}[/tex]

[tex]\large\displaystyle\begin{aligned}\int (8x+12) \sin (8x^2+24x)\:dx & = \int (8x+12) \sin (u) \cdot \dfrac{1}{2(8x+12)}\:du\\\\& = \int \dfrac{(8x+12)\sin (u)}{2(8x+12)}\:du\\\\& = \int \dfrac{1}{2}\sin (u)\:du\\\\& = -\dfrac{1}{2}\cos (u) + C\\\\& = -\dfrac{1}{2}\cos (8x^2+24x) + C\\\\\end{aligned}[/tex]

Answer: The side highlighted is 6.3 units long

Step-by-step explanation:

You can use Pythagorean therum to solve this problem

a² + b² = c²

We already know the length of two of the sides, a and b. So we will replace those variables with the given values

2² + 6² = c²

And now we solve

2² + 6² = c²

4 + 36 = c²

c² = 40

√40 = 6.3

Answer:

x= 6

Step-by-step explanation:

To find the value of x that makes the equation true, first shift all the x terms to one side of the equation.

6x -3x= 18

Simplify:

3x= 18

Divide both sides by 3:

x= 18 ÷3

x= 6

              [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

       What value of x makes the equation [tex]\large\textit{6x=3x+18}[/tex] true?

[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

   [tex]\dagger[/tex] When solving an equation, we need to make sure that variables are on one side of the equation, which is usually the left-hand side,  and numbers are on the other side, which is usually the right-hand side, of the equation.

[tex]\bigstar[/tex] Since we have variables on the right-hand side as well as the left-hand side, we need to move all of them to the left-hand side, with the opposite operation:-

[tex]\sf{6x-3x=18}[/tex]                Subtract 6x-3x:-

[tex]\sf{3x=18}[/tex]                 Now, divide by 3 on both sides:-

[tex]\boxed{\boxed{\sf{x=6}}}\checkmark[/tex]

         We can do that by substituting 6 for x (into the original equation)

       and seeing whether or not we have a true statement:-

        [tex]\implies\sf{6(6)=3(6)+18}[/tex]

       [tex]\implies\sf{36=18+18}[/tex]

      [tex]\implies\sf{36=36}[/tex]

     [tex]\bigstar[/tex] Since the LHS equals the RHS, our solution (x=6) is correct.

         [tex]\rule{50}{1}\smile\smile\smile\smile\smile\rule{50}{1}[/tex]

Answer:

22.95 (Addition)

Step-by-step explanation:

Add the numbers

Add $5.35 + $17.50

Answer = 22.95

How did we get it? ( Added the numbers)

Have a good day :D

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

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

Is (2,2) a solution of the inequality y≤3x-5?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

Simply write the y-coordinate in lieu of y and write the x-coordinate in lieu of x:-

2≤3(2)-5

Multiply:-

2≤6-5

2≤1

2 is less than 1, but it's not equal to 1.

So the right option is:-

[tex]\bigcirc\!\!\!\!\!\bigstar[/tex] (2,2) would be a solution if the inequality was y<3x-5

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

[tex]3^5 \cdot 2^{-6}=\dfrac{3^5}{2^6}=\dfrac{243}{64}[/tex]

Check the picture below.

we know the diameter MK is 9 units, so the radius must be half that, or 4.5.

[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=4.5\\ \theta =218 \end{cases}\implies \begin{array}{llll} s=\cfrac{(218)\pi (4.5)}{180}\implies s=5.45\pi \\\\\\ s\approx 17.1 \end{array}[/tex]

Answer:

9 - 10i

Step-by-step explanation:

2 + 4 =

6

- 3(when added) =

3

6 + 3 =

9

i + 6i =

7i

7i + 3i =

10i

Answer:

10i

Step-by-step explanation:

i think im wrong but i hope u get the right answer

Answer:

D i believe

Step-by-step explanation: hoped this helps

Answer:

1

(2/3)^0=1

(1)^‐³

(1/1)³

1

[tex] \orange{\boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \blue{{deenz \red{l}}}}}}}}}}}}}[/tex]

thanks

Answer:

C) 52

Step-by-step explanation:

=  2x 4x  3x  2x  3x  2x  4

Hope this helps!

Answer:

50/13= 3.846153846

nearest tenth anwer is easily 3.8

This are used to determine the maximum or minimum of a function. The vertex form of the function is given as y = 3(x+2)² - 5

This are used to determine the maximum or minimum of a function. Give the quadratic equation expressed as:
y = 3x² + 12x + 7

The vertex form of the function will be in the form y = a(x-h)² + k

Complete the square

y = 3(x² + 4x) + 7

y = 3(x² + 4x + 2² - 2²) + 7
y = 3(x+2)² - 3(4) + 7

y = 3(x+2)² - 5

Hence the vertex form of the function is given as y = 3(x+2)² - 5

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The correct statements about financial literacy from the given options are as follows:

The only option that isn’t included is: One reason to become financially literate is to make you rich.  Though knowledge about financial literacy can help you in managing your finances, you would need great amount of knowledge about other fields to be able to become rich - not just financial literacy.

Answer:

 25.12 cm.

Step-by-step explanation:

you take pie times the diameter (4)cm and times them together.

Answer:

4π cm

Step-by-step explanation:

d = 4 cm

Circumference = πd

                         = π*4

                         = 4π cm

Answer:

The median is more useful because the mean, which his the average can be affected by a large or small outlier.

Step-by-step explanation:

Answer:

the greater rate would be 38 miles in 20 minutes

Step-by-step explanation:

This is because when going 38 miles per 20 minutes, you are going 10 miles faster than 22 miles per 20 minutes

Answer:

∠A≅∠Y        AB≅YZ

∠B≅∠Z          AC≅YX

∠C≅∠X         BC≅ZX

ΔABC ≅ ΔYZX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

Answer:

Shoe box is an example of rectangular prism.

Classroom ↬ m²

Book ↬ cm²

Matchbox ↬ mm²

8 cm³ = 0.000008 m³ or 8 × 10⁻⁶ m³

28 m³ = 28000000 cm³ or 2.8 × 10⁷ cm³

95 cm³ = 0.095 L

For the expression y5y3−(y−2)4 the correct value is in the first tile, and for the expression (y−2)4+y3y5 the correct value is in the fifth tile.

Exponents that should be integers are known as integer exponents in mathematics. It could be either a positive or negative integer. The positive integer exponents specify how many times the base number should be multiplied by itself in this case.

We have:

[tex]=\rm y^5y^3-(y^{-2})^4[/tex]

[tex]= \rm y^{5+3}-(y^{-2\times4})[/tex]

[tex]= \rm y^{8}-(y^{-8})[/tex]

[tex]= \rm y^{8}-\dfrac{1}{y^{8}}[/tex]

[tex]\rm y^5y^3-(y^{-2})^4 = y^{8}-\dfrac{1}{y^{8}}[/tex]

Similarly,

[tex]\rm (y^{-2})^4 + \dfrac{y^3}{y^{5}} = \rm \dfrac{1}{y^{8}} + \dfrac{1}{y^{2}}[/tex]

Thus, for the expression y5y3−(y−2)4 the correct value is in the first tile, and for the expression (y−2)4+y3y5 the correct value is in the fifth tile.

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13(z+16) = 949

z+16 = 949 : 13 = 73

z = 73 - 16 = 57

Recheck : 13 x (57+16) = 13 x 73 = 949.

Answer:

121

.

The axis of symmetry is the line x= 6

The parabola opens downwards.

The value of h when the equation is in vertex form is positive.

Step-by-step explanation:

In the pictures.

Hope it helps! :)

Answer:

52 units²

Step-by-step explanation:

A = L × W

Area = Length × Width

First find the total area: 44

Half that to find the total left side that is shaded: 22

Find the bottom right side, imagine it is a seperate shape. It would be 4 × 2 = 8. 44 + 8 = 52.

- Educator

Answer:

C.) 3 and -3

Step-by-step explanation:

The question is asking: "Which numbers can be multiplied by themselves and equal 9?" You can formally find this answer by taking the square root of 9, the opposite of squaring a number. Or, in this case, you can try the guess-and-check method. Remember, multiplying two negative numbers together results in a positive answer.

A.) is incorrect because 81 x 81 = 6561 and -81 x -81 = 6561.

B.) I'm assuming this answer is [tex]\sqrt{3}[/tex] (if it's not, there is still a better answer). This answer is incorrect because [tex]\sqrt{3}[/tex] x [tex]\sqrt{3}[/tex] = 3.

C.) is correct because 3 x 3 = 9 and -3 x -3 = 9.

D.) is incorrect because -3² also equals 9.

The linear equation that represent the situation is 3b - 6 = 45.

The value of b is 17.

The situation forms a linear equation. Therefore,

y = mx + b

where

Therefore, let's model the equation linearly,

where

She bought the book for $3 each and receive a discount of $6. The total money spent after the discount is $45.

Therefore, the equation is as follows

3b - 6 = 45

The value of b is as follows;

3b - 6 = 45

3b = 45 + 6

3b = 51

b = 51 / 3

b = 17

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Answer:

The linear equation that represent the situation is 3b - 6 = 45.

The value of b is 17.

How to represent a linear equation?

The situation forms a linear equation. Therefore,

y = mx + b

where

m = slope

b = y-intercept

Therefore, let's model the equation linearly,

where

b = number of books bought

She bought the book for $3 each and receive a discount of $6. The total money spent after the discount is $45.

Therefore, the equation is as follows

3b - 6 = 45

The value of b is as follows;

3b - 6 = 45

3b = 45 + 6

3b = 51

b = 51 / 3

b = 17

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Answer:

B) d=4t

Step-by-step explanation:

let's look at two points

1. t=0, d = 0

2. t = 1, d = 4

slope = change in vertical axis (d)/ change in horizontal axis (t)

change in d = 4 = d₂-d₁

change in t = 1 = t₂-t₁

slope = 4/1 = 4

vertical variable = slope * horizontal variable + horizontal axis intercept

d = 4 * t + horizontal axis intercept

horizontal axis intercept is the vertical axis variable (d) when the horizontal axis variable (t) is at 0. at t=0, d=0

thus, d = 4 * t + 0

d = 4t (B)