MATHEMATICS COLLEGE

Determine whether the following sequence converges or diverges and describe whether it does do so monotonically or by oscillation. Give the limit when the sequence converges. {(-1.00000005)^n}

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. The sequence diverges by oscillation.
b. The sequence converges monotonically. It converges to:
c. The sequence converges by oscillation. It converges to:
d. The sequence diverges monotonic ally.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

(-1.00000005)^n

as n becomes very large, the function increases in both positive and negative direction.

If n=1, -1.00000005

if n=2, 1.0000001

if n= 3, -1.00000015

if n=20, 1.000001

if n=21, -1.00000105

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I don't understand this plz help

Please help me solve x and z

Answers

Answer: Z = 107 as the opposite angles are equal. Then to find x, z is on the same line as (10x+3) so,

107+10x+3=180°

10x+3= 180-107

10x+3= 73°

now,

10x= 73-3 = 70

x= 70/10

x= 7

Hence z= 107 and x=7

pls mark brainliest

Answer:

$x=7\nz=107$

Step-by-step explanation:

First we can solve for x,

107 and 10x+3 is straight line which is 180 so make an equation:

$107+(10x+3)=180$

$10x +107+3=180$

$10x+110=180$

$10x=180-110$

$10x=70$

$x=70/10$

$x=7$

10(7) + 3 = 73

{CHECK: 107 + 10(7) + 3 = 180}

Now, let's find the value of z

As we have the value of x it will be easy to find z by forming an equation:

$z+73=180$

$z=180-73$

$z=107$

{CHECK: 107 + 73 = 180}

hope this helps :)

The width of a picture frame is x inches and the length is x+3 inches, what is the value of x if the area must be 40 square inches

Answers

Answer:

x = 5

Step-by-step explanation:

Width = x inches

Length = (x+3) inches

Area = 40 sq inches

The area of a rectangular shaped object is given by :

$A=l* b$

Putting all the values,

$x(x+3)=40\n\nx^2+3x-40=0\n\nx^2+8x-5x-40=0\n\nx(x+8)-5(x+8)=0\n\n(x-5)(x+8)=0\n\nx=5,-8$

Neglecting x = -8.

So, the value of x is 5.

A rectangular. Garden bed measures 8 x 6 feet a water faucet is at one corner of the bed hose must be long enough to reach opposite corner when stretched straight. Find required length of hose

Answers

Answer:

10 ft

Step-by-step explanation:

The word problem is basically asking the length of one corner of the rectangle to the other. We can split the rectangle up into two right triangles and we will use the Pythagorean theorem to find the hypotenuse or the length from one corner to another. A^2 + B^2 = C^2 A and B are the lengths of the rectangle, 8 and 6. 8^2 + 6^2 = C^2

8^2 = 64 and 6^2 = 36

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the square root of 100 is 10 so the length of the hose is `10.

What are the domain and range of the function represented by the set ofordered pairs?
{(-16, 0), (-8, -11), (0, 12), (12,4)}

Answers

Answer:

domain:-16,-8,0,12

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according to the line plot how many more Runners ran 1/3 of a mile for their warm-up than ran 1/4 of a mile

Answers

Answer:

Step-by-step explanation:

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You buy 1.95 pounds of oranges and 1.65 pounds of apples. Oranges and apples sell for the same price per pound. The total cost, after using a 75¢-off coupon, is $2.49. If c represents the cost of the fruit in dollars per pound, what equation could you use to find the value of c?

Answers

Answer:

(1.95 +1.65)c -0.75 = 2.49

Step-by-step explanation:

The cost of the fruit is the cost per pound (c) multiplied by the number of pounds, 1.95 +1.65. After $0.75 is deducted, the total cost is $2.49. The equation that says this is ...

(1.95 +1.65)c -0.75 = 2.49

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