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3 years ago

Which of the equations below represents a line parallel to the x-axis? A. x=5 B. y=1/x C. y=x D. y=5

Mathematics

1 answer:

coldgirl [10]3 years ago

5 0

I believe it’s D. Y=5
If it’s not right , I apologize
Good luck

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Determine whether the series is convergent or divergent.

elixir [45]

Answer:

Step-by-step explanation:

Test for convergence or divergence of a series using Comparison test

Function.

Σ Sin(1/n). From n= 1 to n=∞

Comparison test states that

Let, 0 ≤ an ≤ bn

For all n

Then, if

Σbn converges then, Σan converge

Σan diverges then, Σbn diverge

I.e if the small series diverges, then, the big series diverges and if the big series converges then, the small series converges.

Let compare the given function to 1/n

1/n is greater than Sin(1/n)

0 ≤ Sin(1/n) ≤ 1/n

1/n is a positive number and it is always greater than 1.

We know that 1/n diverse from p series

P series says that,

Σ 1/n^p

If p≤1 then the series diverges

If p>1 the series converges

So when we compare this to 1/n, then p is equal to 1, therefore, the series diverges.

Now, comparing this to the comparison thereom

Since, the large series bn diverges, then the smaller series an diverges.

Then,

Σ 1 / n diverges implies that.

Σ Sin(1/n) diverges too

5 0

3 years ago

Please and thank you!! check my answer. identify all of the central angles of circle O.

strojnjashka [21]

Answer:

<AOB and <BOC

Step-by-step explanation:

Central angles are formed by any two radius

<AOB and <BOC

You are correct

6 0

3 years ago

Find the gradient of the curve y=-x^-3-5x^2+7x at x=2

Harman [31]

-8

Step-by-step explanation:

The gradient or slope of a curve y is simply the derivative of the curve at a point x. So we can proceed as follows

$\dfrac{dy}{dx} = \dfrac{d}{dx}(x^3 -5x^2 +7) = 3x^2 -10x$

Evaluated at x = 2, the gradient of the slope is

$\left.\dfrac{dy}{dx}\right|_{x=2} = 3(2)^2 - 10(2) = -8$

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2 years ago

A plane travels from Pittsburgh to Cleveland in 2 hours.it maintains an average speed of 100 miles per hour.how far apart are th

wlad13 [49]

The distance between Pittsburgh and Cleveland is 200 miles

Solution:

Given that,

Plane travels from Pittsburgh to Cleveland in 2 hours

Average speed of plane = 100 miles per hour

To find: Distance between these two cities

The relation between speed distance and time is given as:

$Speed = \frac{distance}{time}$

On rearranging the above formula, we get

$distance = speed \times time$

Distance between these two cities = $100 \frac{miles}{hour} \times 2 hour$

$Distance = 200 miles$

Thus both the cities are 200 miles apart

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3 years ago

The constant ratio between of consecutive terms in a geometric sequence is called the

katen-ka-za [31]

Answer:

Its called the common ratio.

Hope this helps!

8 0

2 years ago

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