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MariettaO [177]
3 years ago
9

First term is 3, common difference is 4 what is the 5th term

Mathematics
1 answer:
patriot [66]3 years ago
5 0

Answer:

19

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = 4 , thus

a₅ = 3 + (4 × 4) = 3 + 16 = 19

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What is the argument of -5\sqrt{3}+ 5i?
Shtirlitz [24]

Answer:

150 degrees

Step-by-step explanation:

Graphing the complex number we see the angle terminates in the second quadrant. This means the argument, the angle, will be between 90 degrees and 180 degrees.

So if we create a right triangle with that point after graphing it. We see the height of that triangle is 5 because that is the imaginary part. The base of that triangle has length 5\sqrt{3}. The problem is this doesn't give us any part of the angle we want, but it does give us the complementary of the part of the angle that is in second quadrant.

Let's find the complementary angle.

So the opposite side of the complementary angle is 5.

The adjacent side of the complementary angle is 5\sqrt{3}.

\tan(\theta)=\frac{5}{5\sqrt{3}}

\tan(\theta)=\frac{1}{\sqrt{3}}

\theta=\tan^{-1}(\frac{1}{\sqrt{3}})

\theta=30

So 90-30=60.

The answer therefore 60+90=150.

4 0
3 years ago
Write an equation in slope-intercept form for each line described.
Yuri [45]
B- Not sure if it's a line
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E- y=(2/5)x-10
6 0
3 years ago
What does the discriminant determine?
devlian [24]
The discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac. The discriminant tells us whether there are two solutions, one solution, or no solutions.
6 0
3 years ago
Read 2 more answers
If a restaurant bills totals $85, what amount should be left as a 15$ tips A. $97.75 B. $11.90 C.$12.25 D. $12.75
Nata [24]
If the total bill is $85, and you want to leave a 15% tip, then you can calculate it as follows:

85 * 15%

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The amount that should be left as a tip is D. $12.75.
4 0
3 years ago
Similfy 1/2 (30x + 4y - 14 ) +1/4 (16x - 28y + 4)
Hoochie [10]

Answer:

19x - 5y - 6

Hope this helped

Step-by-step explanation:

You start by simplifying each expression, you will be distributing the number outside the parentheses  on each number inside the parentheses

1/2(30x+4y-14)

1/4(16x -28 +4)

leaving you with

15x + 2y - 7 + 4x - 7y + 1

combine the x's y's and the singular numbers

19x - 5y - 6

Brainliest?


6 0
3 years ago
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