You and a group of friends take turns planting 2 trees each at a campsite. After the first person plants 2 trees, there are 12 trees at the campsite. A. Write an equation for the nth term of the arithmetic sequence. Let n represent the position in the sequence and let an represent the number of trees. C. After 8 more people plant trees, how many trees are at the campsite?

Answer:

Step-by-step explanation:

A linear pair are two given angles whose sum is equal to [tex]180^{o}[/tex].

Let the exterior angle be represented by [tex]x^{o}[/tex], and the three interior angles of the triangle be represented by [tex]a^{o}[/tex], [tex]b^{o}[/tex] and [tex]c^{o}[/tex].

Assume that the vertex angle [tex]c^{o}[/tex] is the linear pair to the exterior angle [tex]x^{o}[/tex].

i.e            [tex]x^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex]  (sum of angles on a straight line)

Thus,

i. [tex]a^{o}[/tex] +  [tex]b^{o}[/tex] = [tex]x^{o}[/tex]  (sum of two opposite interior angles is equal to an exterior angle)

⇒ [tex]a^{o}[/tex]  = [tex]x^{o}[/tex] - [tex]b^{o}[/tex]

Also,

[tex]b^{o}[/tex]  = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]

But,

[tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex]   (sum of angles in a triangle)

⇒ [tex]c^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]a^{o}[/tex] +  [tex]b^{o}[/tex])

and

[tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]180^{o}[/tex] - [tex]c^{o}[/tex]

ii. [tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex]   (sum of angles in a triangle)

[tex]a^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]b^{o}[/tex] + [tex]c^{o}[/tex])

Also,

[tex]a^{o}[/tex] +  [tex]b^{o}[/tex] = [tex]x^{o}[/tex]

⇒ [tex]b^{o}[/tex] = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]

[tex]c^{o}[/tex] = [tex]180^{o}[/tex] - [tex]x^{o}[/tex]

Answer:

Step-by-step explanation:

3k+30=95+k+2k-5

3k+30=100+3k

  -30   -30

3k=70+3k

-3k          -3k

k=70

Answer:

That number is  9.77 x 10²² .

Step-by-step explanation:

Answer:

9.777 x 10^22

Step-by-step explanation:

in order to put a number in scientific notation, you have to move the invisible decimal over to the right since the number is a large number. in this case, the invisible decimal would start between 9 and 7. if you put this decimal to the right until you reach the last zero of the right, you would have move the decimal 22 spaces to the right

Answer:

1 foot = 0.000189394 miles

Step-by-step explanation:

The two neighbors in the rural community could measure the distance between their homes first in feet. So that the value in feet can now be converted to miles by multiplying it by 0.000189394.

Since,

1 foot = 0.000189394 miles

Let us assume that the distance between the two houses is 500 feet, then;

1 foot = 0.000189394 miles

500 feet = x miles

x = 500 x 0.000189394

  = 0.094697

So that for the considered example, the distance is approximately 0.095 miles.

Thus, the required conversion factor is;

1 foot = 0.000189394 miles

Answer:

b. Every 24 minutes

Step-by-step explanation:

A neon sign blinks every 6 minutes, and another sign blinks every 8 minutes.

The first step is to:

Find and list multiples of each time each neon sign blinks.

This means, we find the Multiples of 6 and 8

Multiples of 6:

6, 12, 18, 24, 30, 36

Multiples of 8:

8, 16, 24, 32, 40

The first and common multiple of 6 and 8.

Therefore, the Least common multiple [LCM(6, 8) ] = 24

Hence, they often blink at the same time every 24 minutes.

Therefore, option b.Every 24 minutes is correct.

Answer:

3

Step-by-step explanation:

Answer:

24 yards long

Answer:

462 fast cars please mark brainliest

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

we will put 8 instead of "y" in the equation

2 x 8 + 7 = 23

Answer:

1.25

Step-by-step explanation:

adding a positive to a negative it would go down to 1.25

Answer:

Step-by-step explanation:

b

Answer:

m∠W is 28°

m∠X is 24°

Step-by-step explanation:

In any triangle, the measure of an exterior angle at one vertex of a triangle equals the sum of the measures of the two interior angles opposite to this vertex

In the given figure

∵ ∠WYZ is an exterior angle of Δ XYW at vertex Y

∵ ∠W and ∠X are the interior angles of Δ XYW opposite to the vertex Y

→ Use the fact above

∴ m∠WYZ = m∠X + m∠W

∵ m∠WYZ = 52°

∵ m∠X = 3y°

∵ m∠W = (4y - 4)°

→ Substitute them in the equation above

∵ 52 = 3y + 4y - 4

→ Add the like terms

∴ 52 = 7y - 4

→ Add 4 to both sides

∵ 52 + 4 = 7y - 4 + 4

∴ 56 = 7y

→ Divide both sides by 7

∵ [tex]\frac{56}{7}[/tex] = [tex]\frac{7y}{y}[/tex]

∴ 8 = y

→ Substitute y in the measures of ∠X and ∠W

∵ m∠X = 3(8)

∴ m∠X = 24°

∵ m∠W = 4(8) - 4 = 32 - 4

∴ m∠W = 28°

Answer:

Step-by-step explanation:

Remark

Usually the statements are written from your broker's and his accountant's  point of view. That being said, he looks at the numbers as a debit for a plus, and a credit as a minus. We'll assume it started out as a new purchase.

Debit                  Credit                Balance

0                                                            0

1423                                                1423

1423                                                2846                                

                              10                     2836

                            813                     2023

                          1223                       800

None of the answers match. I have done it correctly. There is no way you will get a fractional amount from those numbers. You are going to have to take it to your teacher/instructor to find out how it is done.

Answer:

360 inch^3

Step-by-step explanation:

Volume of 1 box = 1 x 1 x 9 = 9 inch^3

Volume of 40 boxes = 40 x 9 = 360 inch^3

This is a topic on mensuration. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary). I'll be uploading notes on this topic soon. At the meantime, you can take a look at other topics or some tips as well!

Answer:

360 in

Step-by-step explanation:

L × W × H

1 × 1 ×9 = 9in

9 × 40 = 360 in

Answer:

a. Emily should begin her turn as the third driver at point (1, -0.5).

b. Emily's turn to drive end at point (-2.5, -3.75).

Step-by-step explanation:

Let assume that the group of girls travels from their hometown to San Antonio in a straight line. We know that each location is, respectively:

Hometown

[tex]H(x,y) = (8,6)[/tex]

San Antonio

[tex]T(x,y) = (-6,-7)[/tex]

Then, we can determine the end of each girl's turn to drive by the following vectorial expression based on the vectorial equation of the line:

Steph

[tex]S(x,y) = H(x,y) + \frac{1}{4}\cdot [T(x,y)-H(x,y)][/tex] (1)

[tex]S(x,y) = (8,6) + \frac{1}{4}\cdot [(-6,-7)-(8,6)][/tex]

[tex]S(x,y) = (8,6) +\frac{1}{4}\cdot (-14,-13)[/tex]

[tex]S(x,y) = (4.5,2.75)[/tex]

Andra

[tex]A(x,y) = H(x,y) + \frac{2}{4}\cdot [T(x,y)-H(x,y)][/tex] (2)

[tex]A(x,y) = (8,6) + \frac{2}{4}\cdot [(-6,-7)-(8,6)][/tex]

[tex]A(x,y) = (8,6)+\frac{2}{4}\cdot (-14,-13)[/tex]

[tex]A(x,y) =(1, -0.5)[/tex]

Emily

[tex]E(x,y) = H(x,y) + \frac{3}{4}\cdot [T(x,y)-H(x,y)][/tex] (3)

[tex]E(x,y) = (8,6) + \frac{3}{4}\cdot [(-6,-7)-(8,6)][/tex]

[tex]E(x,y) = (8,6)+\frac{3}{4}\cdot (-14,-13)[/tex]

[tex]E(x,y) = (-2.5, -3.75)[/tex]

a. If the girls take turns driving and each girl drives the same distance, at what point should they stop from Emily to begin her turn as the third driver?

Emily's beginning point is the Andra's stop point, that is, [tex]A(x,y) =(1, -0.5)[/tex].

Emily should begin her turn as the third driver at point (1, -0.5).

b. At what point does Emily's turn to drive end?

Emily's turn to drive end at point (-2.5, -3.75).

mu = 1100 = population mean

sigma = 275 = population standard deviation

x = 1400 = raw score

z = z score

z = (x-mu)/sigma

z = (1400-1100)/(275)

z = 300/275

z = 1.0909090909091 approximately

z = 1.09

Convention is to round to two decimal places so that you can use a Z table to look up the area under the curve (which helps determine probability).

The positive z score is due to Paula's raw score being above the mean.

Answer:

I think is C.

Step-by-step explanation:

I'm so sorry if wrong!

Answer:

x(x-8)(x+8)

Step-by-step explanation:

it ends with a negative 64 and the only one that also end with that would be C because -8×8 = 64

this is the answer for this question

Answer:

$5,460

Step-by-step explanation:

Given that :

Loan taken = principal (p) = $10,000

Simple Interest rate (r) = 9.1% = 0.091

Interest owed at the end of 6 years = t

Simple interest = (principal * rate * time)

Interest owed = 10,000 * 0.091 * 6

Interest owed = 910 * 6

Interest owed = $5,460

Answer:

a) Yes

b) for reference, draw the line y = x, and reflect it over that, this reflection will be your inverse. Or switch the x and y values of each point of the function.

Here is a photo of the original function in black, it's inverse in red, and the line of reflection y = x in blue:

c) No, because it fails the vertical line test, when you draw a vertical line across the inverse function, it hits it more than once.

d) Domain of the original function: -6 ≤ x ≤ 6 ; x(the domain) is greater than or equal to -6 and less than or equal to 6.

e) Domain of inverse function: 0 ≤ x ≤ 4 ; x(the domain) is greater than or equal to 0 and less than or equal to 4.

f) Range of the original function: 0 ≤ y ≤ 4 ; y(the range) is greater than or equal to 0 and less than or equal to 4.

e2) Range of the inverse function: -6 ≤ y ≤ 6 ; y(the range) is greater than or equal to -6 and less than or equal to 6.

f2) x-intercept of original function: -6

g) y-intercept of the inverse function: -6

h) x-intercept of the inverse function: 4

i) y-intercept of the original function: 4

j) (2,2) or any point where the x, and y are the same within the function, or the point where the function intersects y = x.

Answer:

20,10,4,0,-3,-30

Step-by-step explanation:

Answer:

θ= 39.7° (1 d.p.)

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

x=15

Step-by-step explanation:

9²+12²=c²

81+144=c²

225=c²

√225=√c

15=c

The measure of the x is 15.

Given

The length of the base is 9 and the perpendicular is 12.

Pythagoras theorem states that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

The length of the hypotenuse is x.

Therefore,

[tex]\rm (Hypotenuse )^2= (Base)^2+ (Perpendicular)^2\\\\(x)^2=(9)^2+(12)^2\\\\144+81=x^2\\\\x^2 = 144+81\\\\x^2=225\\\\x=15[/tex]

Hence, the measure of the x is 15.

To know more about Pythagoras theorem click the link given below.

https://brainly.com/question/343682

Just by looking at this question, I say there is no solution because these two equations do not touch or meet on the xy-plane.

- х= -у.........A

6x - бу = 12.........B

Solve A for x.

-x = - y

Divide both sides by negative 1.

Doing so, we get x = y. Plug this into B.

6x - 6y = 12

6(y) - 6y = 12

The left side becomes zero.

0 = 12 is a false statement.

Answer: There is no solution to this system of

equations in two variables.

Understand?

Answer:

f(2) = 0

Step-by-step explanation:

Evaluate: f(2) if f(x) = 4 - 2x; plug in 2 for x

f(2) = 4 - 2(2) = 4 - 4 = 0

Answer:

f(2) = 0

Step-by-step explanation:

Put 2 in the place of x,

f(2) = 4 - 2(2)

f(2) = 4 - 4

f(2) = 0

Answer: a) 10

Step-by-step explanation:

Buscando en google, encuentro que la expresión es:

C(x) = 9*x^2 - 80*x - 100

Queremos encontrar el valor de x (positivo), tal que esa expresión sea igual a cero, entonces tenemos que resolver:

9*x^2 - 80*x - 100 = 0.

Para ello podemos recordar la ecuación de Bhaskara, que para una ecuación de la forma:

a*x^2 + b*x + c = 0

Las soluciones son:

[tex]x = \frac{-b +-\sqrt{b^2 - 4*a*c} }{2a}[/tex]

en este caso, tenemos:

a = 9

b = -80

c = -100

Entoces, las soluciones van a ser:

[tex]x = \frac{-(-80) +- \sqrt{(-80)^2 - 4*9*(-100)} }{2*9} = \frac{80 +- 100}{18}[/tex]

Entonces las dos soluciones son:

x = (80 - 100)/18 = -20/18 = -10/9

Esta solución la descartamos, pues es negativa. La otra solución es:

x = (80 + 100)/18 = 180/18 = 10

La opción correcta es a: 10

Answer:

C

Step-by-step explanation:

all x values is domain, all y values are range

Answer:

Its c

Step-by-step explanation:

Domain = x value

Range = y value

Answer:40533.5

Step-by-step explanation:

Midpoint formula

(35113, 2010) > (X1, Y1)

(45954, 2014) > (X2, Y2)

Plug it into the midpoint formula

Answer:

3.2135 x 10^2 if you're looking for scientific notation

Step-by-step explanation: