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4 years ago

What's the following recursive formula???

Mathematics

2 answers:

azamat4 years ago

8 0

First term a1 = -2
and the common difference is + 3

Answer is choice D

koban [17]4 years ago

3 0

I believe it's D.
Hope this helps. <span />

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A lighthouse is located on a small island 2 km away from the nearest point P on a straight shoreline and its light makes four re

ddd [48]

Answer:

62.8 km per min

Step-by-step explanation:

Let the diagram of this situation is shown below,

In which $\theta$ is the angle made by light to the straight line joining the lighthouse and P,

∵ Light makes 4 revolutions per minute.

Also, 1 revolution = $2\pi$ radians

So, the change in angle with respect to t ( time ),

$\frac{d\theta}{dt}=8\pi\text{ radians per min}$

Let x be the distance of beam from P,

$\implies \tan \theta = \frac{x}{2}$

Differentiating with respect to x,

$\sec^2 \theta \frac{d\theta}{dt}=\frac{1}{2}\frac{dx}{dt}$

$(1+\tan^2 \theta) (8\pi) = \frac{1}{2}\frac{dx}{dt}$

$(1+\frac{x^2}{2^2})(8\pi) = \frac{1}{2}\frac{dx}{dt}$

If x = 1 km,

$(1+\frac{1}{4})8\pi =\frac{1}{2}\frac{dx}{dt}$

$\frac{5}{4}8\pi = \frac{1}{2}\frac{dx}{dt}$

$\implies \frac{dx}{dt}=\frac{80\pi}{4}= 20\pi\approx 62.8\text{ km per min}$

Hence, the beam of light moving along the shoreline with the speed of 62.8 km per min

7 0

4 years ago

Find AC.<br> B<br> 7x-6<br> 6x +4

almond37 [142]

answer:

put a picture of the question, it is easier to understand that way.

5 0

3 years ago

Find the median of this data: 18, 9, 17, 18, 15, 10, 18. If necessary, round to the nearest tenth.

Marta_Voda [28]

9, 10, 15, 17, 18, 18, 18

17

3 0

3 years ago

Use the multiplication rule for independent event probabilities. Two friends are both pregnant, and find out they are each expec

GarryVolchara [31]

Answer:

We have to multiply P(A) and P(B) which is 0.0045 * 0.01 * 100 (to make it a percentage) = 0.0045%.

4 0

3 years ago

Show your work

LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

We can set up an equation

(x is time, which we are solving for)

600x +0.0329x = 60,000

600.0329x =60,000 we can divide both sides by 600.0329

x = 99.99 (quarters)

divide that by 4 and you get about 25 years

3 0

3 years ago