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SOVA2 [1]
3 years ago
10

Find the sum, if it exists, of the infinite geometric series related to the infinite geometric sequence described by An= 18(2)^n

-1​
Mathematics
1 answer:
Lera25 [3.4K]3 years ago
3 0

Answer:

Step-by-step explanation:

Since r=2 and |r|>1 the sum does not converge to any value. The sum does not exist for this infinite geometric series.

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What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 54° A) 126 B) 72 C) 63 D) 10
Amiraneli [1.4K]
An isosceles triangle has congruent base angles, so if one of the base angles measure 54 degrees, then the other base angle does, too.
And a triangle measures up to 180 degrees.
180 = x + 2(54)
180 = x + 108
x = 72
So the answer is B) 72
5 0
3 years ago
Read 2 more answers
Find the total surface area of the square pyramid in the figure.<br><br> thanks!!
Viefleur [7K]

Answer:

B: 144 yd²

Step-by-step explanation:

It's a square pyramid : Base area 8 x 8 = 64

4 side area:((8 x5) /2) x 4 = 80

Total area: 64 +80 = 144

5 0
3 years ago
1. A crash repair bill comes to $1380.00. How much is 10% of
SpyIntel [72]

Answer:

1. 10% of the bill is $138. The final bill once 10% is taken off is $1242.

2. 20% of the total is $34.10. The final total once the 20% is taken off is $136.4

Step-by-step explanation:

1. A crash repair bill comes to $1380.00. How much is 10% of the bill? What is the final bill once 10% is taken off?

To find how much is 10% of the bill, we multiply the bill by 0.1

0.1*1380 = 138

10% of the bill is $138.

To find the final bill, we subtract the initial bill by 10%.

1380 - 138 = 1242

The final bill once 10% is taken off is $1242.

2. A person buys a new fan belt, a new alternator, and a new water pump for their car. The total comes to $170.50. What is 20% of the total? How much is the final total once the 20% is taken off?

Same logic as above.

0.2*170.50 = 34.1

20% of the total is $34.10.

170.50 - 34.1 = 136.4

The final total once the 20% is taken off is $136.4

8 0
3 years ago
Find the equation of the tangent line. y=(9-x^2)^1/3 at (1,2)​
Schach [20]

Get the derivative:

<em>y</em> = (9 - <em>x</em>²)¹ʹ³

d<em>y</em>/d<em>x</em> = 1/3 (9 - <em>x</em>²)⁻²ʹ³ d/d<em>x</em> [9 - <em>x</em>²]

d<em>y</em>/d<em>x</em> = 1/3 (9 - <em>x</em>²)⁻²ʹ³ (-2<em>x</em>)

d<em>y</em>/d<em>x</em> = -2/3 <em>x</em> (9 - <em>x</em>²)⁻²ʹ³

Evaluate it at <em>x</em> = 1 :

d<em>y</em>/d<em>x</em> (1) = -2/3 • 8⁻²ʹ³

Since 8 = 2³, we have

8⁻²ʹ³ = 1 / 8²ʹ³ = 1 / (2³)²ʹ³ = 1 / 2² = 1/4

Then the tangent line has equation

<em>y</em> - 2 = 1/4 (<em>x</em> - 1)   →   <em>y</em> = 1/4 <em>x</em> + 7/4

7 0
2 years ago
Solve for x<br> 4/5x+4/3=2x
TEA [102]

the answer is  hope this helps

10

-

9


7 0
3 years ago
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