Ask question

Ask question

All categories

3 years ago

14

in a talent competition, half of the contestants are eliminated in each round. At the end of the nth round, 32 contestants remai

n. If there were 1,024 contestants at the start of the competition, what is the value of n?

1 answer:

Murrr4er [49]3 years ago

3 0

Here, first tern is 1024, common ratio = 1/2 and last term = 32

32 = 1024((1/2)^n
(1/2)^n = 32/1024 = 1/32
(1/2)^n = (1/2)^5

Therefore, n = 5

You might be interested in

Plz help me with this

Aleks04 [339]

Answer: FALSE

<u>Step-by-step explanation:</u>

x⁵ + 0x⁴ - 4x³ + 2x² - 4x + 1

If x - 2 is a factor, then x =2 should result in a remainder of 0 when using synthetic division.

2 | 1 0 -4 2 -4 1

<u>| ↓ 2 4 0 4 0 </u>

1 2 0 2 0 1 ← Remainder ≠ 0 so x - 2 is NOT a factor

3 0

3 years ago

Calculate the missing value. (Not drawn to scale.)

True [87]

Answer:5in

Step-by-step explanation:

1. Identify the triangle

you are given a right triangle with the hypotonus missing and are given the side lengths 3 and 4 you know the hypotonus is 5 by the 3,4,5 Pythagorean tripe, if you do not notice this it can be solved with the Pythagorean theorem a^2+b^2=c^2

2. solve (if not done with 3,4,5 triple)

3^2+4^2=c^2

9+16=c^2

25=c^2

5=c | square root both sides to cancel the square

5 0

11 months ago

A is directly proportional to b. When a is 6, b is 72. Find b when a is 8. 3

adelina 88 [10]

Answer:

a) <em>"K" is proportional Constant K= 0.0833</em>

<em>b) The value of b = 99.639</em>

Step-by-step explanation:

<u><em>Explanation</em></u> :-

Given 'a' is directly proportional to 'b'

a ∝ b

<em> a = k b ....(i)</em>

<em>where "K" is proportional Constant</em>

<u><em>Case(i)</em></u><em>:-</em>

<em>when a =6 and b=72</em>

<em> a = k b </em>

<em> ⇒ 6 = k (72)</em>

<em> ⇒ </em> $K = \frac{6}{72} = \frac{1}{12} = 0.0833$ <em> </em>

<u><em>Case(ii)</em></u><em>:- </em>

<em> Given a = 8.3 </em>

<em> a = k b </em>

<em>⇒ 8.3 = 0.0833 ×b</em>

<em>⇒ </em> $b = \frac{8.3}{0.0833} = 99.639$ <em></em>

<u><em>Final answer</em></u><em>:-</em>

a)<em>"K" is proportional Constant K= 0.0833</em>

<em>b) The value of b = 99.639</em>

<em></em>

<em></em>

<em></em>

<em></em>

6 0

2 years ago

Which term has the definition "The value that describes the location of a digit within a number, such

Andrews [41]

Answer:

place value is the answer

5 0

2 years ago

Read 2 more answers

What is the height, x, of the equilateral triangle?

e-lub [12.9K]

Using the Pythagorean Theorem, the height of the equilateral triangle is given by:

A. $h = 7\sqrt{3}$ inches.

<h3>What is the Pythagorean Theorem?</h3>

The Pythagorean Theorem relates the length of the legs $l_1$ and $l_2$ of a right triangle with the length of the hypotenuse h, according to the following equation:

$h^2 = l_1^2 + l_2^2$

For this problem, we have that:

The height is one side of the triangle.

The other side is half the length, of 7 in.

The hypotenuse is the length, of 14 in.

Hence the height is found as follows:

$h^2 + 7^2 = 14^2$

$h = \sqrt{147}$

$h = \sqrt{49 \times 3}$

$h = 7\sqrt{3}$ inches.

More can be learned about the Pythagorean Theorem at brainly.com/question/654982

#SPJ1

7 0

1 year ago