Consider the arithmetic sequence 13, 16, 19, 22, 25, ... What is the 60th term in the sequence?

Mathematics

2 answers:

Pavel [41]3 years ago

6 0

Answer:

180

Step-by-step explanation:

photoshop1234 [79]3 years ago

5 0

Answer:

180

Step-by-step explanation:

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(-2/3) to the power of 2 minus 3/4 times (2 1/3)

hodyreva [135]

Answer:

$-1.30555555556$

4 0

2 years ago

1. Derive this identity from the sum and difference formulas for cosine:

barxatty [35]

$\bf \begin{cases}
cos({{ a}} + {{ b}})= cos({{ a}})cos({{ b}})- sin({{ a}})sin({{ b}})\\\\
cos({{ a}} + {{ b}})+sin({{ a}})sin({{ b}})=\boxed{cos({{ a}})cos({{ b}})}\\\\
--------------------\\\\
cos({{ a}} - {{ b}})= cos({{ a}})cos({{ b}}) + sin({{ a}})sin({{ b}})\\\\
cos({{ a}} - {{ b}})-sin({{ a}})sin({{ b}})=\boxed{cos({{ a}})cos({{ b}})}
\end{cases}\\\\
-----------------------------\\\\$

$\bf cos(a)cos(b)=cos(a)cos(b)\qquad thus
\\\\\\
cos({{ a}} + {{ b}})+sin({{ a}})sin({{ b}})=cos({{ a}} - {{ b}})-sin({{ a}})sin({{ b}})
\\\\\\
sin({{ a}})sin({{ b}})+sin({{ a}})sin({{ b}})=cos({{ a}} - {{ b}})-cos({{ a}} + {{ b}})
\\\\\\
2sin({{ a}})sin({{ b}})=cos({{ a}} - {{ b}})-cos({{ a}} + {{ b}})
\\\\\\
sin({{ a}})sin({{ b}})=\cfrac{cos({{ a}} - {{ b}})-cos({{ a}} + {{ b}})}{2}
\\\\\\
sin({{ a}})sin({{ b}})=\cfrac{1}{2}cos({{ a}} - {{ b}})-cos({{ a}} + {{ b}})$

4 0

3 years ago

3. Daniel's Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5.2%. Find

valentinak56 [21]

The answer would be ≈$20,440

If it depreciates at a rate of 5.2% each year, for 8 years
5.2•8=41.6
Divide 35,000 by 100 to get how much each percent would be worth
35,000/100=350
Multiply 350 by 41.6 to get the amount of money depreciated out the total price
350 • 41.6 = 14,560
Than subtract 14,560 out of 35000 to see the current price of the printer
35,000 - 14,560 = 20,440

6 0

3 years ago

Equations must always be simplified before solving.<br> True<br> O<br> False

fgiga [73]

I think it’s false

Correct me if I’m wrong

5 0

2 years ago

How many solutions does this system have?

Savatey [412]

Answer:

B. One

Step-by-step explanation: