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Svetach [21]
3 years ago
6

Write an i explicit formula for an, the nth term of the sequence 200, 40, 8, ....

Mathematics
1 answer:
Ugo [173]3 years ago
5 0

Answer:

T_n = 200 * (\frac{1}{5})^{n-1

Step-by-step explanation:

Given

Sequence: 200,40,8

Required

The nth term

The given sequence is a geometric sequence.

So, first we identify the first term

a = 200

Calculate common ration

r = \frac{40}{200} or r = \frac{8}{40}

r = \frac{1}{5}

So, the nth term is:

T_n = ar^{n-1

T_n = 200 * (\frac{1}{5})^{n-1

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The radius of the circular lens of a magnifying glass is 4 centimeters.
Mila [183]

Answer:50.27 centimeters

Step-by-step explanation:

4 0
3 years ago
What is the slope?<br> First, determine the slope.<br> (200,14)<br> (225,16)
Maksim231197 [3]

Answer:

\displaystyle m=\frac{2}{25}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (200, 14)

Point (225, 16)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [SF]:                    \displaystyle m=\frac{16-14}{225-200}
  2. [Fraction] Subtract:                             \displaystyle m=\frac{2}{25}
7 0
3 years ago
I’m begging for help!! ASAP
kompoz [17]

This is an awful question.  They mean to say  the number of hours practicing <em>per week</em> (we'll call it h) varies inversely with the <em>time</em> (t) she runs her event.  Unless they mean to imply more practicing makes Tyler slower, in which case she should just get a pizza.

Inverse variation means the product is a constant, we'll call it k.

ht = k

When h = 1 hour t=6 minutes

(1)(6) = k

k = 6  (hour*minutes, but as long as we're consistent we don't need to sweat the unit.)

Decreasing her time by one minute means t = 6 - 1 = 5.  We solve for h.

ht = k

h = k/t = 6/5 = 1.2 hours

Answer: 1.2 hours, second choice

8 0
3 years ago
Describe and correct the error in writing an equation of the line shown
Rudiy27

Answer:

y  = -\frac{3}{5}x+4

Step-by-step explanation:

Given:

(x_1,y_1) = (0,4)

(x_2,y_2) = (5,1)

The attachment completes the question

From the attachment, the slope of the line was calculated as:

m = \frac{1-4}{0-5}

This step is inaccurate because the slope of a line is calculated using

m = \frac{y_2-y_1}{x_2-x_1}

Which gives

m = \frac{1-4}{5-0}

m = \frac{-3}{5}

m = -\frac{3}{5}

The line equation is then calculated using:

y -y_1 = m(x - x_1)

Substitute values for m, x1 and y1

y - 4 = -\frac{3}{5}(x - 0)

y - 4 = -\frac{3}{5}(x)

Open bracket

y - 4 = -\frac{3}{5}x

Make y the subject

y  = -\frac{3}{5}x+4

6 0
3 years ago
Round nearest hundredth​
maks197457 [2]

Answer:.

Step-by-step explanation:nearest hundredth the answer for this question is joe mama

4 0
3 years ago
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