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PilotLPTM [1.2K]
3 years ago
8

What is the 3rd term of the sequence? a1 = 40 and an = 0.5(an – 1) a3 =

Mathematics
1 answer:
777dan777 [17]3 years ago
8 0
\bf \begin{array}{llll}
term&value\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
a_1&40\\\\
a_2&0.5(a_{n-1})\\
&0.5(a_{2-1})\\
&0.5(a_1)\\
&0.5(40)\\
&20\\\\
a_3&0.5(a_{3-1})\\
&0.5(a_2)\\
&0.5(20)
\end{array}
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What is the value of m that makes the equation true? 18m- 2+ 7m- 8= -60
sergij07 [2.7K]

Answer:

m = -2

Step-by-step explanation:

First, let's move all variables to one side of the equation. (Don't forget to change the signs when you move the numbers to the other side.)

18m + 7m = -60 + 2 + 8

Now we simplify to get this:

25m = -50

Now we divide -50 by 25 which gets us -2.

Therefore, m = -2

Hope this helps!

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3 years ago
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Answer:

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Step-by-step explanation:

3 0
3 years ago
If (x+yi)(1-3i)=10 <br> Then x+y=
Naily [24]

Answer:

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Step-by-step explanation:

Given that, (x + iy)(1 - 3i) = 10, then we have to calculate x + y.

Now, (x + iy)(1 - 3i) = 10

⇒ x(1 - 3i) + iy(1 - 3i) = 10

⇒ x - 3xi + iy - 3yi² = 10

⇒ (x + 3y) + i(y - 3x) = 10

Now, comparing the real and imaginary part of both sides we get,

(x + 3y) = 10 ............. (1) and

y - 3x = 0

⇒ y = 3x ............... (2)

Solving equations (1) and (2) we get

x + 3(3x) = 10

⇒ x = 1

So, y = 3x = 3

Therefore, x + y = 1 + 3 = 4 (Answer)

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3 years ago
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DerKrebs [107]

The x-intercept is for y = 0.

Put y = 0 to the equation of a line 3x + 2y = 14

3x+2(0)=14\\\\3x=14\qqud\text{divide both sides by 3}\\\\\boxed{x=\dfrac{14}{3}\to\left(\dfrac{14}{3};\ 0\right)}

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3 years ago
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