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makvit [3.9K]
3 years ago
5

What is the value of the arithmetic series below?

Mathematics
2 answers:
MariettaO [177]3 years ago
4 0

Answer:

A

Step-by-step explanation:

E2020

RoseWind [281]3 years ago
3 0

Answer:

- 494

Step-by-step explanation:

Breaking down the summation into it;s component parts

= 4k - \frac{3}{2} k(k + 1) ← substitute k = 19

= (4 × 19 ) - 1.5 × (19 × 20)

= 76 - (1.5 × 380)

= 76 - 570

= 494

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Juliette [100K]
We know 20% is 15
and now we find 80%

since 20% x 4 = 80%, we can multiply 15 by 4 to get 80% of 75

15 x 4 = 60

80% of 75 = 60
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3 years ago
Answer the question in the picture
Svet_ta [14]
<h3>Answer:</h3>
  • left picture (bottom expression): -cot(x)
  • right picture (top expression): tan(x)
<h3>Step-by-step explanation:</h3>

A graphing calculator can show you a graph of each expression, which you can compare to the offered choices.

_____

You can make use of the relations ...

... sin(a)+sin(b) = 2sin((a+b)/2)cos((a-b)/2)

... cos(a)+cos(b) = 2cos((a+b)/2)cos((a-b)/2)

... cos(a)-cos(b) = -2sin((a+b)/2)sin((a-b)/2)

Then you have ...

\dfrac{\cos{2x}-\cos{4x}}{\sin{2x}+\sin{4x}}=\dfrac{2\sin{3x}\sin{x}}{2\sin{3x}\cos{x}}=\dfrac{\sin{x}}{\cos{x}}=\tan{x}

and ...

\dfrac{\cos{2x}+\cos{4x}}{\sin{2x}-\sin{4x}}=\dfrac{2\cos{3x}\cos{x}}{-2\cos{3x}\sin{x}}=\dfrac{-\cos{x}}{\sin{x}}=-\cot{x}


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4 years ago
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navik [9.2K]
This is cheating. You aren’t allowed to ask for help strate out.
5 0
3 years ago
Drew wants to buy exercise equipment that costs $140 and the sales tax is 5.57% what is the total cost of the equipment
Eddi Din [679]

Answer:

$147.80

Step-by-step explanation:

140 x .0557 = 7.80 Tax

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8 0
3 years ago
Read 2 more answers
Hector puts together two tables to make a long table for a class picnic.
lys-0071 [83]

Answer: 14 feet 4 inches

Step-by-step explanation:

Given: The length of the first table = 7 feet 7 inches

The length of the second table = 6 feet 9 inches

The total length of two tables = 7 feet 7 inches + 6 feet 9 inches

= (7+6) feet (7+9) inches

=13 feet 16 inches

Since 1 feet = 12 inches

The total length of two tables = 13 feet+ (12 inches +4 inches)

=13 feet +( 1 feet +4 inches)

= 14 feet 4 inches

Hence, the total length of the two tables =  14 feet 4 inches

7 0
3 years ago
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