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True [87]
3 years ago
11

t{12}+\sqrt{30000}" alt="4\sqrt{8}-3\sqrt{12}+\sqrt{30000}" align="absmiddle" class="latex-formula">

Mathematics
1 answer:
adell [148]3 years ago
4 0
The answer to the question

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Given the following geometric sequence, find the common ratio: {3, 18, 108, ...).
vodomira [7]
Geometric sequences go up due to a common ratio. Here the common ratio can be worked out by dividing a term by its previous term e.g term 2 divided by term 1.

18/3 = 6


Therefore the common ratio is 6.
4 0
3 years ago
What is 51/2 × 21/3?
bixtya [17]
5 1/2×2 1/3
5 1/2=11/2
2 1/3=7/3
11/2×7/3=77/6
77/6= 12 5/6

The answer is D.
3 0
3 years ago
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Use logarithmic differentiation to find the derivative of the function.y = x^8 sin(x)
givi [52]

Answer: \frac{\partial y}{\partial x}=8x^{8sinx}(cosx.logx+\frac{sinx}{x})

Step-by-step explanation:

Since we have given that

y=x^{8sinx}

By using logarithmic on both sides we get,

log y= 8 sinx. logx

(∵ log(a^m)=m.loga)

Now, differentiating on both sides ,we get,

\frac{1}{y}.\frac{\partial y}{\partial x}=8(\frac{\partial sinx}{\partial x}.logx+sinx \frac{\partial logx}{\partial x})

\\\frac{1}{y}\frac{\partial y}{\partial x}=8(cosx.logx+sinx.\frac{1}{x})

\\\frac{\partial y}{\partial y}=8y(cosx.logx+\frac{sinx}{x})\\\\\frac{\partial y}{\partial x}=8x^{8sinx}(cosx.logx+\frac{sinx}{x})

6 0
3 years ago
A piece of paper is 5 inches wide. You tape 7 pieces of paper together to make a banner. How long is your banner?​
erica [24]

Answer:

175

Step-by-step explanation:

25 x 7

7 0
2 years ago
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What property was used on 14k + 2 (3k+5) -5 = 10 to obtain 14k + 6k +10 - 5 =10
Elis [28]

\boxed{\text{The distributive property}}\\\\\text{In order to solve the equation, you would have to first use the }\\\text{distributive property:}\\\\14k + 2 (3k+5) -5 = 10\\\\\text{Distribute the 2 to the variables inside the parenthesis}\\\\14k+6k+10-5=10\\\\\text{You can see that your outcome matches the equation in the question}\\\\\text{Therefore, the distributive property would be your answer}

5 0
3 years ago
Read 2 more answers
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