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sp2606 [1]
3 years ago
13

An = cos(npi/2). If convergent find limit of sequence?

Mathematics
1 answer:
natali 33 [55]3 years ago
7 0
The sequence is: cos(π/2), cos (π ), cos (3π/2), cos ( 2π ),...
or: 0,-1,0,1,0,-1,0,1,... Since cos (nπ/2) oscillates between -1 and 1 as n tends to infinity, this sequence is divergent (limit does not exist).
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mr. Smith has twice as much money as mr. hairy the average amount of money they have is $489 how much money does mr. Smith have
Darya [45]
Ok, so this one requires you to set up an equation that makes sense....(mr. Smith + mr. Harry)/2= 489...that is the average money from the problem....ok so let’s add some variables now and make it look like math. 2x is mr smith from the first sentence. X is mr. Harry. This yields

(2x+x)/2=489.....use inverse operations to yield
2x+x=978

Combine like terms to get

3x=978

Then divide by 3
To give you x=326

What does x tell you?
X= harry = 326
2x = Smith = 652

To check add them together and divide by 2 to get the average....489

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Step-by-step explanation:

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3 years ago
Read 2 more answers
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Elza [17]

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Step-by-step explanation:

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3 years ago
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Which of the following is the equation of the line that is perpendicular to y=-4x-5 and goes through the point (-2, 3)? Question
Scrat [10]

Answer:

The equation of the perpendicular line to y=-4*x-5 is y=\frac{1}{4}*x+\frac{7}{2}

Step-by-step explanation:

Perpendicular lines are two or more lines that intersect at an angle of 90 degrees. Being  y = m * x + b the equation of a line, two lines, with a slope other than zero, are orthogonal or perpenducillary if and only if the product of their slopes is -1. In other words, if two lines are perpendicular, they have their slopes reversed and sign changed.

In this case, with y = -4x-5 the slope will be -4. So the slope of the perpendicular line will be \frac{1}{4}. Then the equation of the perpendicular line will be:

y=\frac{1}{4}* x+b

To find the value of b, you know the value of the point (-2,3). So x = -2 and y = 3. Replacing in the equation of the perpendicular line, you have:

3=\frac{1}{4}* (-2)+b

Solving, you get:

3=-\frac{1}{2}+b

3+\frac{1}{2}=b

\frac{7}{2}=b

<u><em>The equation of the perpendicular line to y=-4*x-5 is </em></u>y=\frac{1}{4}*x+\frac{7}{2}<u><em></em></u>

8 0
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