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guajiro [1.7K]
3 years ago
9

Melvin is building a castle with a series of towers out of blocks. Each tower has twice as many blocks as the previous tower, an

d then 3 more. If the first tower has x^2+2x+3 blocks in it, and Melvin builds 5 towers in all, how many blocks will he have used in total?
Mathematics
1 answer:
Aneli [31]3 years ago
8 0
X^2+2x+3+2(x^2+2x+3)+3+4(x^2+2x+3)+6+8(x^2+2x+3)+9+16(<span>x^2+2x+3)+12
add that up  and you will get your answer and you get </span><span>31x²+62x+123</span>
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Write a variable expression to describe the rule for the sequence. Then find the 100th term in the sequence. –4, 1, 6, 11, 16, .
SVETLANKA909090 [29]

Answer:

a+(n-1)d

Step-by-step explanation:

491

3 0
3 years ago
Help please if it was u u would want the same so please help
antiseptic1488 [7]
Simple...

you have: 8x-6y=1

You're trying to find m-->>using y=mx+b to re-write the line....

8x-6y=1

8x-6y=1
-8x      -8x

-6y=-8x+1

\frac{-6y}{-6} = \frac{-8x+1}{-6}

y=\frac{4}{3} x- \frac{1}{6}

Your slope m=\frac{4}{3} x

Thus, your answer.

3 0
3 years ago
Given a1 = 8 and r = 2, identify the 23rd term
babymother [125]

Answer: 33554432

Step-by-step explanation:

8 x (2 ^ (23 - 1)) = 33554432

4 0
2 years ago
Find the exact value by using a half-angle identity. sin(5pi/12)
anzhelika [568]

Find <span>tan<span>(<span><span>5π</span>12</span>)</span></span> and sin ((5pi)/12)
Answer: <span>±<span>(2±<span>√3</span>)</span>and±<span><span>√<span>2+<span>√3</span></span></span>2</span></span>

Explanation:

Call tan ((5pi/12) = t. 
Use trig identity: <span><span>tan2</span>a=<span><span>2<span>tana</span></span><span>1−<span><span>tan2</span>a</span></span></span></span>
<span><span>tan<span>(<span><span>10π</span>12</span>)</span></span>=<span>tan<span>(<span><span>5π</span>6</span>)</span></span>=−<span>1<span>√3</span></span>=<span><span>2t</span><span>1−<span>t2</span></span></span></span>
<span><span>t2</span>−2<span>√3</span>t−1=0</span>

<span>D=<span>d2</span>=<span>b2</span>−4ac=12+4=16</span>--> <span>d=±4</span>

<span>t=<span>tan<span>(<span><span>5π</span>12</span>)</span></span>=<span><span>2<span>√3</span></span>2</span>±<span>42</span>=2±<span>√3</span></span>

Call <span><span>sin<span>(<span><span>5π</span>12</span>)</span></span>=<span>siny</span></span>
Use trig identity: <span><span>cos2</span>a=1−2<span><span>sin2</span>a</span></span>
<span><span>cos<span>(<span><span>10π</span>12</span>)</span></span>=<span>cos<span>(<span><span>5π</span>6</span>)</span></span>=<span><span>−<span>√3</span></span>2</span>=1−2<span><span>sin2</span>y</span></span>
<span><span><span>sin2</span>y</span>=<span><span>2+<span>√3</span></span>4</span></span>
<span><span>siny</span>=<span>sin<span>(<span><span>5π</span>12</span>)</span></span>=±<span><span><span>√<span>2+<span>√3</span></span></span>2</span></span></span>

5 0
3 years ago
Yo not free braily points <br> soryy its a little
Ivan

Answer: Thanks!  It's alright!

8 0
2 years ago
Read 2 more answers
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