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gladu [14]
3 years ago
13

Which expression is equivalent to 3 to the power of 3 x 6 to the power of 3 x 2 to the power of three

Mathematics
1 answer:
AlekseyPX3 years ago
8 0

Answer:

Step-by-step explanation:

3³×6³×2³ = 3³×2³×6³ = (3×2)³×6³ = 6³×6³ = 6⁶

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Calculate the length of the circumference of a circle with diameter of 7cm
Bad White [126]

The circumference of the circle is given by the equation C = pi * D. Incorporating the length of the diameter into the equation, we have,  

C = pi * D

                C = pi * 7cm

                C = 21.99 cm 

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4 years ago
Graph: y-3=1/2 (x+2)
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7 0
4 years ago
Read 2 more answers
find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B
SashulF [63]

Answer:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3

|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5

And finally we can calculate the angle between the vectors like this:

cos \theta = \frac{ab}{|a| |b|}

And the angle is given by:

\theta = cos^{-1} (\frac{ab}{|a| |b|})

If we replace we got:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

3 0
3 years ago
Find the distribution of responses about whether there was broken glass at the accident for the subjects in this study using rel
Lemur [1.5K]

Answer:

Probability of having broken glass =  0.1933

Probability of not having broken glass = 0.8067

Step-by-step explanation:

The Treatment table in the file attached to the given question is written out and completed below;

                                                  Treatment

Response       Smashed into             Hit                 Control       Total

      Yes             16                               7                        6             29

       No             34                              43                     44            121

Total:                  50                            50                     50           150

Using relative frequencies,

the distribution of responses about whether there was broken glass at the accident for the subjects in this study can be computed as follows:

Probability of having broken glass = \dfrac{29}{150}

Probability of having broken glass =  0.1933

Probability of not having broken glass = \dfrac{121}{150 }

Probability of not having broken glass = 0.8067

5 0
4 years ago
(Please make sure your answer is 100% correct and Accurate)
I am Lyosha [343]
It would be 7813.50.
3 0
3 years ago
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