2 (n - 1) + 47 = 2 (3n - 1)

Answer:

30x t 78

Step-by-step explanation:

[tex]W = 23.7°[/tex]

Step-by-step explanation:

The formula given is the statement of Snell's law of refraction. We are given the following:

[tex]I_a = 1.0003[/tex]

[tex]I_w = 1.3[/tex]

[tex]A = 31.5°[/tex]

So we need to find the angle of refraction W. Starting with Snell's law,

[tex]\dfrac{I_w}{I_a} = \dfrac{\sin A}{\sin W} \Rightarrow \sin W = \left(\dfrac{I_a}{I_w}\right)\sin A[/tex]

Plugging in the given values, we get

[tex]\sin W = \left(\dfrac{1.0003}{1.3}\right)\sin{31.5°} = 0.402[/tex]

Solving for the angle W, we then get

[tex]W = \sin^{-1}(0.402) = 23.7°[/tex]

Answer:

First

Step-by-step explanation:

1.

[tex]\frac{48}{8} + 2^{3} = 6 + 8 = 14[/tex]

[tex]5 + 3^2 = 5 + 9 = 14[/tex]

2.

[tex]9^{2} - 7^{2} = 81 - 63 = 18[/tex]

[tex]\frac{20}{7-2} = \frac{20}{5} = 4[/tex]

3.

[tex]\frac{150}{5^2} = \frac{150}{25} = 6[/tex]

[tex]30 - 4^{2} - 12 = 30 - 16 - 12 = 30 - 28 = 2[/tex]

4.

[tex]\frac{8 - 7}{2} - 12 = 0.5 - 12 = -11.5[/tex]

[tex]22 - 2 * 3 = 22 - 6 = 16[/tex]

Answer:

first and fourth

Step-by-step explanation:

Equate and compare both sides of the equations. If both sides are equal then the equation is true.

48 ÷ 8 + 2³ = 6 + 8 = 14

right side = 5 + 3² = 5 + 9 = 14

This is a true equation

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

9² - 7² = 81 - 49 = 32

right side = 20 ÷ (7 - 2) = 20 ÷ 5 = 4

This is not a true equation

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

[tex]\frac{150}{5^2}[/tex] = [tex]\frac{150}{25}[/tex] = 6

right side = 30 - 4² - 12 = 30 - 16 - 12 = 14 - 12 = 2

This is not a true equation

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

[tex]\frac{8(7)}{2}[/tex] - 12 = [tex]\frac{56}{2}[/tex] - 12 = 28 - 12 = 16

right side = 22 - 2 × 3 = 22 - 6 = 16

This is a true equation

Answer:

  $31,384.28

Step-by-step explanation:

If you're familiar with Pascal's triangle, you probably recognize the digits of the given values match successive lines of that triangle. This immediately suggests that the base of the exponential function is exactly 1.1, and the model can be written immediately as ...

  y = 10000(1.1^x)

For x=12, the value of the investment is predicted to be ...

  y = 10,000(1.1^12) ≈ 31,384.28

The value of the investment 12 years after purchase is predicted to be $31,384.28.

__

In any event, a graphing calculator or spreadsheet can deduce the model for you. The attached calculator output shows it to be as described above.

Answer:

62.8 yards

Step-by-step explanation:

The circumference would just be equal to diameter*3.14, and the diameter is 2 times the radius. 2x10=20, and 20x3.14 would equal 62.8 yards.

Answer:

let the number be x.

[tex]x + 18 = 159 \\ x = 159 - 18 = 141[/tex]

the number is 141

hope helpful <3

Answer:

x = 17/5

Step-by-step explanation:

17+2+6x = x-15 +5x

19+6x =16x -15

19+15 = 16x-6x

34 = 10x

34/10= 10x/10

17/5 = x

x = 17/5 or 3 2/3

Answer:

x=-1/7

Step-by-step explanation:

5x+15=-2x+14

5x+2x=14-15

7x=-1

x=-1/7

Step-by-step explanation:

5(x+3) = -2(x-7)

5x + 15 = -2x + 14

7x = -1

x = -1/7

Answer:

45

Step-by-step explanation:

15+15+15=45

that would increase her practice time by 45 minutes

Answer:

a f

Step-by-step explanation:

(−5, 2) is point lie on a line that passes through the origin with a slope of −2/5

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find the points lie on a line that passes through the origin with a slope of −2/5

The line passes through (0, 0) and (x, y) form a slope of -2/5

-2/5=y/x

So y is 2 and x is 5.

Hence, (−5, 2) is points lie on a line that passes through the origin with a slope of −2/5

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ2

Answer:

Austin: [tex]25[/tex]

Dante: [tex]64[/tex]

Yoko: [tex]16[/tex]

Step-by-step explanation:

Total: [tex]105[/tex]

Austin: [tex]y+9[/tex]

Dante: [tex]4y[/tex]

Yoko: [tex]y[/tex]

Equation:

[tex]y+9+4y+y=105\\6y+9=105\\6y=96\\y=16[/tex]

Invisible Steps:

Combine like terms: [tex]y+y+4y=6y[/tex]

Subtract 9 from each side: [tex]6y+9-9=6y[/tex]

                                            [tex]105-9=96[/tex]

Divide by 6 on each side: [tex]6y[/tex] ÷ [tex]6=y[/tex]

                                           [tex]96[/tex] ÷ [tex]6 = 16[/tex]

Answer:

7

Step-by-step explanation:

The factors of 28 and 63 are

28 : 1, 2, 4, 7, 14, 28

63 : 1, 3, 7, 9, 21, 63

The common factors are 1 and 7

7 is a prime factor of both 28 and 63

Answer:

8+-9=-1

Step-by-step explanation:

evaluated

Answer:

8+(-9)=8-9=-1

Step-by-step explanation:

to get -9 you multiply -×+ which is -

Answer:

Percentage Calculator: 100. is what percent of 500.? = 20.

Step-by-step explanation:

Answer:

y=6x×2/4

x=7

thanks for the points

Answer:

Circle is a closed geometric figure having an infinite number of sides.

Step-by-step explanation:

A circle ⭕ has infinite number of sides want to know how then try and experiment.

First draw a pentagon of five sides, then a hexagon of six sides and keep on increasing the number of sides and then you will notice the shape being close of a circle.

Answer:

first 45-6=36 and 36×6=216 the answer is 216

Answer:

yes 198

Step-by-step explanation:

Answer:

1. -3 × Equation [A1] --> Equation [B1]

2. 7 × Equation [B2] + Equation [B1] --> Equation [C1]

Step-by-step explanation:

There isn't a very elegant way to do this, you just need to brute force it a little and see which options are completely unreasonable and can be skipped. This is what I managed to figure out:

1. -3 × Equation [A1] --> Equation [B1]

6x × -3 = -18x

-7y × -3 = 21y

14 × -3 = -42

2. 7 × Equation [B2] + Equation [B1] --> Equation [C1]

(4x × 7) + -18x = 28x - 18x = 10x

(-3y × 7) + 21y = -21y + 21y = 0y

(-4 × 7) + -42 = -28 - 42 = -70

I can try to explain more about how I got those if you want, but like I said, there isn't much of a method to it other than trial and error.

Step-by-step explanation:

(4 - x)(x - 4) = 16 - x2 help me please sir please help me please sir fasthelp me please sir please help mehelp me please sir please help mehelp me please sir please help mehelp me please sir please help me

Answer:

Step-by-step explanation:

this equals 0.03

From the given figure,

Subtracting AB and DC, so,

[tex]6 - 3 = 3 \: cm[/tex]

As we know that :-

[tex]d = \sqrt{ {5}^{2} - {3}^{2} }[/tex]

[tex]→d = 4 π cm[/tex]

Since:-

[tex]c = πd[/tex]

[tex]c = 4πd[/tex]

So, Answer is 4 π d

Answer:Gabriela es mi hermana

Step-by-step explanation:

Answer:

I think it's -28/-12

Step-by-step explanation:

y-y/x-x

[tex]y = 2x -2 ~~~~.....(i) \\\\y = x^2 -4 x +3 ~~~~ .....(ii) \\\\\\x^2-4x +3 = 2x -2\\\\\implies x^2 -4x -2x +3 +2 =0\\\\\implies x^2 -6x +5 =0\\\\\implies x^2 -5x -x +5 =0\\\\\implies x(x-5) -(x-5) =0\\\\\implies(x-5)(x-1) =0\\\\\implies x = 5 ~~ \text{or}~~ x = 1 \\\\\\\text{Substitute x = 1 in equation (i):}\\\\y = 2 -2 =0\\\\ \text{Substitute x = 5 in equation (i):}\\\\\\y = 2(5) -2 = 10 -2 =8 \\\\\text{Hence,}~~ (x,y) = (1,0) ~ \text{and} ~ (x,y) = (5,8)[/tex]

Answer:

$16.65

Step-by-step explanation:

To turn percentages into coefficients divide by 100, so 85% become .85. She marks them up or adds a cost of 85% so instead of using .85 we use 1.85. so 1.85 times initial cost of candle is 1.85*9=16.65

Answer:

Yes

Step-by-step explanation: