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3 years ago

Determine the most probable next term in the sequence 486,162,54,18,6

2 answers:

7 0

It is a Geometric Progression with common ratio :
= 162/486 = 1/3

So, Next term would be: 6 * 1/3 = 2

In short, Your Answer would be 2

Hope this helps!

Sauron [17]3 years ago

7 0

Each number is the the prior number divided by 3 so next in the sequence would be 2

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A bee flew 840 \text{ cm}840 cm840, space, c, m and landed on a flower to collect some pollen. Then the bee flew another 330 \te

alexdok [17]

Answer:

The bee traveled 11.7 meters.

Step-by-step explanation:

A bee flew 840 cm first to land on a flower to collect some pollen and then flew another 330 cm to get back to her hive.

For finding the total distance traveled, we need to just add 840 cm and 330 cm.

So, $(840+330) cm = 1170 cm$

We know that, 1 meter = 100 cm. That means, for converting 'cm' into 'meter' , we need to divide by 100.

Thus, $1170 cm= \frac{1170}{100} meter = 11.7 meter$

So, the bee traveled 11.7 meters.

5 0

3 years ago

A hiker starting at point P on a straight road wants to reach a forest cabin that is 2 km from a point Q, 3 km down the road fro

pantera1 [17]

Answer:

2.19 km

Step-by-step explanation:

If x is the distance she walks down the road before turning, then the total time is:

t = x/8 + √((3 − x)² + 2²) / 3

t = x/8 + √(9 − 6x + x² + 4) / 3

24t = 3x + 8√(13 − 6x + x²)

24t = 3x + 8(13 − 6x + x²)^½

Take derivative of both sides with respect to x.

24 dt/dx = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

When t is a minimum, dt/dx = 0.

0 = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

-3 = 4(13 − 6x + x²)^-½ (-6 + 2x)

3 / (6 − 2x) = 4(13 − 6x + x²)^-½

3 / (24 − 8x) = (13 − 6x + x²)^-½

(24 − 8x) / 3 = (13 − 6x + x²)^½

(24 − 8x)² / 9 = 13 − 6x + x²

576 − 384x + 64x² = 117 − 54x + 9x²

459 − 330x + 55x² = 0

Solve with quadratic formula.

x = [ 330 ± √((-330)² − 4(55)(459)) ] / 2(55)

x = (330 ± √7920) / 110

x = 2.19 or 3.81

Since 0 < x < 3, x = 2.19.

7 0

3 years ago

In the lab, Leila has two solutions that contain alcohol and is mixing them with each other. Solution A is alcohol and Solution

torisob [31]

Answer:

300ml

Step-by-step explanation:

As values are missing in your question, the complete question is:

In the lab, Leila has two solutions that contain alcohol and is mixing them with each other. Solution A is 6% alcohol and Solution B is 20% alcohol. She uses 400 milliliters of Solution A. How many milliliters of Solution B does she use, if the resulting mixture is a 12% alcohol solution?

Considering x=ml of 20% solution B

Therefore, 400+x=ml of resulting 12% solution

Solution A alcohol+ solution B alcohol= Alcohol solution

6% (400)+ 20%x = 12%(400+x) ->(converting percentage into decimal)

.06*400+.2x=.12(400+x)

24+.2x=48+.12x

.08x=24

x=24/.08=300 ml

she used 300 milliliters of 20%Solution B in resulting mixture.

4 0

3 years ago

Express each ratio as a fraction in simplest form.

Alex Ar [27]

Express each ratio as a fraction in simplest form.2 yards to 45 feet
First, let's convert feet to yard to get the answer
=> 2 yard = x yard
=> 1 foot = 0.333333 yard.
=> 0.333333 yard * 45 = 15 yards, thus the answer is
=> 2/15

8 0

3 years ago

What is the value of the product (3 – 2i)(3 + 2i)? A. 5 B. 9 + 4i C. 9 – 4i D. 13

UNO [17]

Answer:

D. 13

Step-by-step explanation:

You can do the product in the straight-forward way ...

... (3 -2i)(3 +2i) = 3·3 +3·2i -3i·3 -(2i)(2i)

... = 9 +6i -6i -4i² . . . . . note the middle two terms cancel

Recognize that i = √-1, so i² = -1. Then the sum is

... = 9 -4(-1) = 9+4 = 13

_____

Your graphing calculator can do this product, too.

3 0

3 years ago

Read 2 more answers