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slavikrds [6]
3 years ago
7

Which expression is equivalent to -32 3/5? O -8 O -3√32^5 O 1/3√32^5 O 1/8

Mathematics
2 answers:
jek_recluse [69]3 years ago
7 0

Answer:

-8 is the final answer

Step-by-step explanation:

-(2⁵)^3/5

-2³

-8

mafiozo [28]3 years ago
7 0
-8 is the final answer.
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Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (Enter
jolli1 [7]

Answer:

the answer is incomplete, below is the complete question

"Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (Enter your answer in terms of s.) r(t) = 3ti + (1 - 4t)j + (1 + 2t)k r(t(s)) ="

answer

r(t(s)) = \frac{3s}{\sqrt{29} } i + (1 -\frac{4s}{\sqrt{29} }t)j + (1 + \frac{2s}{\sqrt{29} })k

Step-by-step explanation:

The step by step procedure is to first determine the differentiate the given vector function

r(t) = 3ti + (1 - 4t)j + (1 + 2t)k

\frac{d(r(t) = 3ti + (1 - 4t)j + (1 + 2t)k)}{dt} \\r'(t)=3i-4j+2k\\

since s(t) is the arc length for r(t), which is define as

s(t)=\int\limits^t_0 {||r'(t)||} \, dt

if we substitute the value of r'(t) we arrive at

s(t)=\int\limits^t_0 {||r'(t)||} \, dt\\s(t)=\int\limits^t_0 {\sqrt{3^{2} +4^{2}+2^{2}} \, dt\\s(t)=\int\limits^t_ 0{\sqrt{29} } \, dx\\

s(t)=\int\limits^t_ 0{\sqrt{29} } \, dx\\\\s(t)=\sqrt{29} t\\hence \\t(s)=\frac{s}{\sqrt{29} }

substituting the value of t in to the given vector equation we have

r(t(s)) = \frac{3s}{\sqrt{29} } i + (1 -\frac{4s}{\sqrt{29} }t)j + (1 + \frac{2s}{\sqrt{29} })k

4 0
4 years ago
How do you find the value of a number ​
VikaD [51]
We calculate it by multiplying the place value and face value of the digit. For instance: If we consider a number 45. Here the digit 4 is in the tens column.
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3 years ago
Hillary rolls 2 number cubes numbered 1 through 6 while playing her favorite board game. She will get a second turn if she rolls
Nataly [62]

Answer:

1 in 18

Step-by-step explanation:

The highest possible number Hillary can get is 12, meaning that the only odd number above 10 which she can get is 11.

There are two possible ways in which Hillary can get 11:

(a) Hillary rolls a 5 on her first cube and a 6 on her second cube

(b) Hillary rolls a 6 on her first cube and a 5 on her second cube

There are 34 other possible outcomes which Hillary can have when rolling her number cubes, for a total of 36 possible outcomes.

Since 2 of these outcomes result in a roll of 11, Hillary has a 2 in 36 chance of rolling an 11, which can be simplified as 1 in 18.

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3 years ago
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What is the decimal expansion of the following fraction?<br> 1/11
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