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Rzqust [24]
3 years ago
14

What is the eighth term of the arithmetic sequence? An= 10n – 14?

Mathematics
1 answer:
Alja [10]3 years ago
3 0

Answer:

A8 = 66 [8th term]

Step-by-step explanation:

Given the explicit arithmetic sequence An = -14 + 10n → -4 + 10(n-1)

To find the 8th term. An nth term is where n is n in the sequence. So substitute 8 for n, and simplify.

So A8 = -4 + 10(8-1) → -4 + 10(7) → -4 + 70 → 70 - 4 → 66.

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Find the equation of the line that passes through the following points. Write the equation in slope-intercept form.
ra1l [238]

Answer:

The equation in the slope-intercept form will be:

y  = 1/4x - 7

Step-by-step explanation:

Given the points

  • (-4.-8)
  • (-8, -9)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-4,\:-8\right),\:\left(x_2,\:y_2\right)=\left(-8,\:-9\right)

m=\frac{-9-\left(-8\right)}{-8-\left(-4\right)}

m=\frac{1}{4}

We know that the slope-intercept of line equation is

y=mx+b

where m is the slope and b is the y-intercept

substituting m = 1/4 and the point (-4, -8) to find the y-intercept 'b'

y = mx+b

-8 = 1/4(-4)+b

-8 = -1 + b

b = -8+1

b = -7

so the y-intercept = b = -7

substituting m = 1/4 and b = -7 in the slope-intercept form of line equation

y = mx+b

y  = 1/4x + (-7)

y  = 1/4x - 7

Thus, the the equation in slope-intercept form will be:

y  = 1/4x - 7

6 0
3 years ago
Tim wants to create a circle graph showing the number of physicians whose specialty is aerospace medicine. He knows the followin
Alenkinab [10]

Answer:

107 :)

Step-by-step explanation:

In total there are 53+8+155+17+145+10+98+2=488 physicians of aerospace medicine. 45-54 year-old males account for 145/488 of this population, so they should account for that fraction of the central angle of the circle graph also. Since there are 360 degrees in the central angle to divide up among the groups, the 45-54 year-old male group should get 145/488 x 360 which rounds to about 107 degrees.

8 0
2 years ago
Anyone know this answer?
Veseljchak [2.6K]
M<NQN = 180° - 2[180° - (60° + 80°)]
m<NQM = 100°
~100°
4 0
3 years ago
If there are 200 pieces of candy in a bag and 30 percent are watermelon, how many watermelon would you expect a random generator
MariettaO [177]

6.

Hope you can learn this, you should of just multipled 200 by .30 and then divided that by 20!

8 0
3 years ago
Read 2 more answers
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KatRina [158]
The general equation of the line is 3x−2y−4
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3 years ago
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