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brilliants [131]
2 years ago
12

13. For the following sequence.

Mathematics
1 answer:
ad-work [718]2 years ago
4 0

The term rule is given by a(n) = 1/3 + (n - 1)(1/3) while the 12th term is of the series is 4.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

From the series:

First term (a) = 1/3; common difference (d) = 2/3 - 1/3 = 1 - 2/3 = 1/3

The term rule is given by:

a(n) = a + (n - 1)d = 1/3 + (n - 1)(1/3)

The 12 term is:

a(12) = 1/3 + (12 - 1)(1/3) = 4

The term rule is given by a(n) = 1/3 + (n - 1)(1/3) while the 12th term is of the series is 4.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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The angular velocity of a fan blade is 6.2 radians per second.
MA_775_DIABLO [31]

Answer:

94.7 revolutions

Step-by-step explanation:

In the question above, we are given the following values for the fan

Angular velocity = 6.2 radians per seconds

Time = 1.6 minutes.

Step 1

We would convert the time given to seconds

1 minute = 60 seconds

1.6 minutes = ?

We cross multiply

1.6 minutes × 60 seconds

= 96 seconds

Step 2

Number of revolutions made by the fan is calculated as :

Angular velocity(rad/s)

× time(seconds)

Number of revolutions = 6.2 radians per seconds × 96 seconds

=595.2 radians

Converting from radians to revolution

1 radian = 0.159155 revolutions

595.2 radians =

Cross multiply

= 595.2 radians × 0.159155 revolutions

= 94.729056 revolutions.

Approximately to the nearest tenth = 94.7 revolutions.

Therefore, the number of revolutions the fan blade makes in 1.6 minutes is 94.7 revolutions.

8 0
3 years ago
What is the value of 5(a + b) when a=1 and b=6 ​
lana [24]

Answer: 35

Step-by-step explanation:

We substitute a for 1 and b for 6.

5(1+6)=5(7)=35

5 0
3 years ago
Find the equation of the line that is perpendicular to y = 1/4x – 2 and passes though the point (5, –2). A) y = –1/4x + 18 B) y
Mashcka [7]

Since our line is perpendicular to this line, the slope of

our line is the negative reciprocal of 1/4, which is -4/1.

Remember, negative reciprocal is just a fancy way

of saying flip the fraction and change the sign.

So the slope of our line is -4/1 and we use this slope along

with our given point to write the equation of our line.

Start with the point-slope formula.

Y - y1 = m(x - x1).

~Substitute

Y - -2 = -4/1(x - 5).

Minus a negative is plus a positive.

Y + 2 = -4/1x + 20.

Subtract 2 from both sides.

Y = -4/1x + 18

So, our answer is C.

7 0
3 years ago
19) Find the acros F(x) = x4 + 8x? -​
Yuri [45]

Answer:

F'(x)=4x3+16x

Step-by-step explanation:

6 0
2 years ago
Which expression is equivalent to 3/32x8,10?
rusak2 [61]

Answer:

4x?y*[2x2y)

Step-by-step explanation:

8 0
3 years ago
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