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Anton [14]
3 years ago
13

Find the 50th term of the following arithmetic sequence. 6, 13, 20, 27, ...

Mathematics
1 answer:
shusha [124]3 years ago
5 0

Answer:

349

Step-by-step explanation:

We know that a₁ (the first term) is 6 and d (the common difference) is 13 - 6 = 7.

Explicit formula: aₙ = a₁ + (n - 1)d = 13 + (n - 1) * 7 = 7n - 1

Therefore, a₅₀ = 7(50) - 1 = 349

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How can i solve for x &amp; y <br> -14 - 3i = 2 x + yi
Step2247 [10]
Solving for x

Since x<span> is on the right hand side of the </span>equation<span> switch the sides so it is on the left hand side of the </span>equation<span>.
</span><span>2x+yi=−14−3i
</span>
Since <span>yi</span><span> does not contain the </span>variable<span> to solve for move it to the right-hand side of the </span>equation<span> by subtracting </span><span>yi</span><span> from both sides.
</span><span>2x=−yi−14−3i

</span>Divide<span> each </span>term<span> in the </span>equation<span> by </span><span>2.

</span><span>x=−<span><span>yi/</span>2</span>−7−<span><span>3i/</span>2



Solving for y

</span></span>Since y<span> is on the right hand side of the </span>equation<span> switch the sides so it is on the left hand side of the </span>equation<span>.
</span><span>2x+yi=−14−3i

</span>Since <span>2x</span><span> does not contain the </span>variable<span> to solve for move it to the right hand side of the </span>equation<span> by subtracting </span><span>2x</span><span> from both sides.
</span><span>yi=−2x−14−3i

</span>Divide<span> each </span>term<span> in the </span>equation<span> by </span><span>i.

</span><span>y=2xi+14i−3


</span>x=−yi/2−7−3i/2
y=2xi+14i−3
6 0
3 years ago
56%? Answer choices A. 1/25 B. 0.004 C. 40 D. 2/5
qaws [65]

Answer:

B

Step-by-step explanation:

5 0
3 years ago
The crew of a spaceship search for a missing shuttle craft for 1000 miles in every direction from their position how many cubic
Semmy [17]

Answer:

4,188,790,200 cubic miles to the nearest hundred.

Step-by-step explanation:

That will be the volume of an imagined sphere with radius 1000 miles.

= 4/3 * pi * (1000)^3

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7 0
3 years ago
Is the point (1,3) a solution to the linear equation 5x-9y=32? explain
harina [27]

There are many ways to check if the point (1,3) is a solution to the linear equation 5x-9y=32.

Let us check it by expressing y in terms of x.

The given expression is 5x-9y=32. If we add -5x to both sides we will get:

-9y=-5x+32

Multiplying both sides by -1 we will get:

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In order to isolate y, we will divide both sides by 9 to get:

y=\frac{5}{9}x-\frac{32}{9}

Now let us plug in the given value of x=1 from the point (1,3). This should give us y=3. Let us see if we get y=3 when we plug x=1 in the above equation.

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Thus, we see that when x=1, y=-3 and that y\neq 3 and hence we conclude that the point (1,3) is not a solution to the original given linear equation 5x-9y=32.

For a better understanding of the explanation given here a graph has been attached. As can be seen from the graph, (1,3) does not lie on the straight line that represents 5x-9y=32, but (1,-3) does lie on it as we had just found out.





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Leokris [45]

Answer:

C

Step-by-step explanation:

(1/2⁶)

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3 years ago
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