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alexandr402 [8]
3 years ago
9

What is the formula for the following arithmetic sequence? 12, 6, 0, -6, ...

Mathematics
2 answers:
bixtya [17]3 years ago
6 0

Answer:

an= 12 + (-6)(n-1)

Step-by-step explanation:

you should find two values: a1 and d

a1= first number =12

d= a number of the sequence mines the number of the sequence before the one you chose = 0-6 = -6

a1+(n-1)d= 12-6(n-1)

mina [271]3 years ago
3 0

Answer:

12 + (-6)(n-1)

Hope it helped <3

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liq [111]

answer is 4

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3 years ago
Calculating cos-1 ( help is gladly appreciated :) )
Alekssandra [29.7K]

Answer:

\frac{3\pi}{4}

(Assuming you want your answer in radians)

If you want the answer in degrees just multiply your answer in radians by \frac{180^\circ}{\pi} giving you:

\frac{3\pi}{4} \cdot \frac{180^\circ}{\pi}=\frac{3(180)}{4}=135^{\circ}.

We can do this since \pi \text{ rad }=180^\circ (half the circumference of the unit circle is equivalent to 180 degree rotation).

Step-by-step explanation:

\cos^{-1}(x) is going to output an angle measurement in [0,\pi].

So we are looking to solve the following equation in that interval:

\cos(x)=-\frac{\sqrt{2}}{2}.

This happens in the second quadrant on the given interval.

The solution to the equation is \frac{3\pi}{4}.

So we are saying that \cos(\frac{3\pi}{4})=\frac{-\sqrt{2}}{2} implies \cos^{-1}(\frac{-\sqrt{2}}{2})=\frac{3\pi}{4} since \frac{3\pi}{4} \in [0,\pi].

Answer is \frac{3\pi}{4}.

4 0
3 years ago
A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend less than $300 on the shi
jeka94

Answer:

1, 3, & 5

Step-by-step explanation:

Select three options.

1. The inequality should be written as 25 s less than 300.

2. The inequality should be written as 25 s greater than 300.

3. The circle is open.

4. The circle is closed.

5. The arrow points left.

I'm guessing these are the options? If so, please mark brainliest :)

4 0
3 years ago
Read 2 more answers
Solve 2a 2 - 3a - 2 = 0<br><br> {-1/2, 2}<br> {1/2, -2}<br> {}
d1i1m1o1n [39]
Apply slip and slide
a^2-3a-4
(a-4)(a+1)
(a-2)(2a+1)

Find zeros
a-2=0
a=2

2a+1=0
2a=-1
a=-1/2

Final answer: {-1/2, 2}
8 0
3 years ago
Read 2 more answers
A typical high school student consumes 67.5 pounds of sugar per year. As part of a new nutrition plan, each member of the track
tino4ka555 [31]

Answer:

54 Pounds

Step-by-step explanation:

We know that they start off with 67.5 pounds of sugar and they need to reduce it by 20%. We also know from the problem that we want to know the MAXIMUM amount of sugar consumed by each track member.

The typical high school student consumes about 67.5 pounds of sugar per year. That is our first piece of the problem

67.5

We now know that 20% of it needs to be reduced. This means that we can multiply it by 0.8 because that is 20% less than 100% of the sugar.

67.5 x 0.8

This leads the answer to be 54 Pounds

Hope this helped :D

4 0
3 years ago
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