Match each statement with the correct reasoning in the proof below given: AM = CM BM=DM

Answer:

nth term = 1000×1.2ⁿ⁻¹

Step-by-step explanation:

The explicit rule for the given geometric sequence is aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹

A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant.

Given that, in two years the deer population in a state forest was 1,200. In year 4, the population was 1,728,

Therefore,

a₄ = 1728 and a₂ = 1200

We have two terms of the GP, therefore, finding r,

r² = 1728 / 1200 = 1.44

r = 1.2

Therefore,

a₁ = a₂r¹⁻²

= 1200r⁻¹ = 1200/r

= 1200 / 1.2 = 1000

Therefore, the formula will be = aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹

Hence, the explicit rule for the given geometric sequence is aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹

Learn more about geometric sequence click;

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Answer:

The 5 bags of pretzels.

Step-by-step explanation:

Because if you were to buy 5 individual bags you would end up paying $20.00, instead of $12.00

Answer:

The second option

Step-by-step explanation:

In order to find the unit price of each, consider the quotient of amount of money per bag:

Case 1:

$4/ 1 bag

Case2:

$12 / 5 bags = $2.4 / 1 bag

Therefore, the second option is the one with lower unit price.

Answer:

1. Assume the contrary, namely that √2 + √3 + √5 = r, where r is a rational number.

Square the equality √2 + √3 = r − √5 to obtain 5 + 2

√6 = r2 + 5 − 2r

√5. It follows

that 2√6 + 2r

√5 is itself rational. Squaring again, we find that 24 + 20r2 + 8r

√30

is rational, and hence √30 is rational, too. Pythagoras’ method for proving that √2 is

irrational can now be applied to show that this is not true. Write √30 = m

n in lowest

terms; then transform this into m2 = 30n2. It follows that m is divisible by 2 and because

2( m

2 )2 = 15n2 it follows that n is divisible by 2 as well. So the fraction was not in lowest

terms, a contradiction. We conclude that the initial assumption was false, and therefore

√2 + √3 + √5 is irrational.

Step-by-step explanation:

9514 1404 393

Answer:

  d)  3195

Step-by-step explanation:

The distances traveled make an arithmetic series, the sum of which is given by ...

  Sn = (2·a1 +d(n -1))(n/2)

This series has first term a1=5 and common difference d=7. Then the total distance traveled in 30 seconds is ...

  S30 = (2·5 +7(30-1))(30/2) = (10 +203)(15) = 3195

The cart travels 3195 inches.

Answer:

4

Step-by-step explanation:

hope it helps you in some way

simplify 28-(8+3)X(4-2)

Answer:

The answer is in the picture above:)

Step-by-step explanation:

1st, Add the number (calculate) result is 28-11x×(4-2) And Subtract the number the result is 28-11x×2. 2nd, use the commutative property to reorder the terms the result is 28-2×11x

Hope it helps:)

Equation/Question:

-6x-(-8)=2

Answer/Way I did it:

1. Remove parentheses.

-6x+8=2

2. Subtract 8 from both sides.

-6x=2-8

3. Simplify  2-8 to  -6.

-6x=-6

4. Divide both sides by -6.

x=1

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

Checking:

Equation/Question:

−6x−(−8)=2

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

1. Let x=1.

−6×1+8=2

2. Simplify  -6×1  to  −6.

-6+8=2

3. Simplify  -6+8 to  2.

2=2

Done by NeighborhoodDealer

Answer:

n numbers, because we can use variables like l and w to represent the unknown length and width. Many expressions have more than one variable in them. The volume of a box without a lid is given by the formula V = 4x(10−x)2, where x is a length in inches and  Rochelle has invested $2500 in a jewelry making kit.

Step-by-step explanation:

Answer:

The third side is 17

Step-by-step explanation:

To find the hypotenuse, you square the legs of the right triangle and add the values together, and then take the square root of their sum. [tex]\sqrt{15^{2} + 8^{2} }[/tex] = [tex]\sqrt{225 + 64}[/tex] = [tex]\sqrt{289}[/tex] = 17

Answer:

first one

just subtract 21 from each number

Answer:

C - {873, 894, 915, 936, …}

Step-by-step explanation:

Difference means subtraction. So, subtract -21 from the number to get your next value.

1245 - (-21) = 1266 So, A is not the answer

32 - (-21) = 53 So, B is not the answer.

873 - (-21) = 894 So, C is the answer.

1563 - (-21) = 1584 So, D is not the answer.

To double check, subtract -21 from the other numbers too.

873 - (-21) = 894

894 - (-21) = 915

915 - (-21) = 936

and so on...

This matches up with the list of numbers on option C so it it correct.

I hope this helps you Cheers!

Answer:

65 meters

Step-by-step explanation:

The height of the monument off the ground = x + 5

Find x using Pythagorean Theorem:

x = √(61² - 11²)

x = √3,600

x = 60 meters

Height of the monument off the ground = x + 5 = 60 + 5 = 65 meters

Answer: 65

Word Problem:  A Monument in the shape of a right triangle sits on a            rectangular pedestal that is 5 meters high and 11 meters long. The longest side of the Triangular monument measures 61 meters.

Question: How high off the ground is the top of the monument?

9514 1404 393

Answer:

  -12, -21

Step-by-step explanation:

Let x represent the first number. Then the second is x-9. The other relation is ...

  4x = 2(x-9) -6

  2x = -24 . . . . . subtract 2x, simplify

  x = -12

  x-9 = -21

The first number is -12; the second number is -21.

Answer:

The unknown measures 40

Step-by-step explanation:

Use the proportion that derives from the properties of parallel lines intersected by common transversals:

X/24 = 25/15  and solve for x

x = 25 * 24 / 15

x = 40

Answer:

X = 180/5

Step-by-step explanation:

Hope this helps! :)

Best of luck!

Answer:

$6.75

Step-by-step explanation:

9% of 75 = 6.75

.09 × 75 = 6.75

Answer: 75.333333...

Step-by-step explanation: Might want to round that number to the nearest tenths. This number is a repeating digit.

Here we will show you step-by-step with detailed explanation how to calculate 452 divided by 6 using long division.

Before you continue, note that in the problem 452 divided by 6, the numbers are defined as follows:

452 = dividend

6 = divisor

Step 1:

Start by setting it up with the divisor 6 on the left side and the dividend 452 on the right side like this:

6 ⟌ 4 5 2

Step 2:

The divisor (6) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

0

6 ⟌ 4 5 2

Step 3:

Multiply the divisor by the result in the previous step (6 x 0 = 0) and write that answer below the dividend.

0

6 ⟌ 4 5 2

0

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

0

6 ⟌ 4 5 2

- 0

4

Step 5:

Move down the 2nd digit of the dividend (5) like this:

0

6 ⟌ 4 5 2

- 0

4 5

Step 6:

The divisor (6) goes into the bottom number (45), 7 time(s). Therefore, put 7 on top:

0 7

6 ⟌ 4 5 2

- 0

4 5

Step 7:

Multiply the divisor by the result in the previous step (6 x 7 = 42) and write that answer at the bottom:

0 7

6 ⟌ 4 5 2

- 0

4 5

4 2

Step 8:

Subtract the result in the previous step from the number written above it. (45 - 42 = 3) and write the answer at the bottom.

0 7

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3

Step 9:

Move down the last digit of the dividend (2) like this:

0 7

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

Step 10:

The divisor (6) goes into the bottom number (32), 5 time(s). Therefore put 5 on top:

0 7 5

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

Step 11:

Multiply the divisor by the result in the previous step (6 x 5 = 30) and write the answer at the bottom:

0 7 5

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

3 0

Step 12:

Subtract the result in the previous step from the number written above it. (32 - 30 = 2) and write the answer at the bottom.

0 7 5

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

- 3 0

2

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 452 divided by 6 calculated using Long Division is:

75

2 Remainder

Mark as brainlist

Answer:

after 15 it goes like:

72

132

238

153

50?

mean = 132

Step-by-step explanation:

Answer:

Step-by-step explanation:

W = 4L-17

LW = 15

L(4L-17) = 15

4L^2-17L-15= 0

L = [17 ±√(17^2-4(4)(-15))]/[2(4)] = 5,-3/4

-3/4 is an extraneous solution

L = 5 cm

W = 4L-17 = 3 cm

Answer:

that box in the corner of the angle represents 90°

90° is also known as a right angle

Subtract 90° from 37°.

You should come up with 53°.

Answer:

b=5

Step-by-step explanation:

Well, lets first divide by -2 on both sides. -10 divided by -2 is gonna be 5. So, b=5

Answer:

6E

Step-by-step explanation:

If Evan swims 5 laps (for example) that automatically means that Nicole sawm 6 more laps, so it would be 6 times "E" as in Evan

Hope this helps! :D

Answer:

27

Step-by-step explanation:

Answer:

y=[tex]\frac{5}{8}x[/tex]

Step-by-step explanation:

So in this equation you have to do this with the points to get the slope

M= [tex]\frac{y2-y1}{x2-x1}[/tex]

M is the slope so using this eqaution will give you the equation.

Step-by-step explanation:

20 miles.

what you need to do to find out is:-

just divide them

300÷15

have a good day :)

Answer:

M x 2 + 5 = 32

Step-by-step explanation:

hope this helped if so please press the pink "thanks" button

Answer:

3

Step-by-step explanation:

9 times 3 is 27. 27 plus 8 is 35

Answer:

d=3

Step-by-step explanation:

Answer:

[tex]\displaystyle m=\frac{1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (5, 0)

Point (-4, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

[tex]V=343\,\,cm^3[/tex]

Step-by-step explanation:

Recall that fractional exponents are other form of representing roots.

In our case, the formula for the volume of the cube in terms of area of a face, is also written as:

[tex]V=A^\frac{3}{2} =(\sqrt{A} )^3[/tex]

which for the case of a cube with face area of 49 cm^2 becomes:

[tex]V=(\sqrt{49} )^3=7^3=343\,\,cm^3[/tex]

Answer:

David share is 36 sweets

Step-by-step explanation:

let Lucy share be x

let David share be y

Lucy has 27 more

x=y+27

total sweet is x+y

y+27 +y= 2y+27

total ratio = 4+7=11

David share=

[tex]y = \frac{4}{11} \times (2y + 27)[/tex]

[tex]11y = 4(2y + 27)[/tex]

[tex]11y = 8y + 108[/tex]

[tex]11 y- 8y = 108[/tex]

[tex]3y = 108[/tex]

y=108/3= 36