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stiks02 [169]
3 years ago
15

Find the cube root of 27d3 + 54a2b + 36ab2 + 8b3​

Mathematics
1 answer:
enot [183]3 years ago
8 0

Answer:

 (3a + 2b)3

Step-by-step explanation:

STEP 1  :

Equation at the end of step 1

 (((27•(a3))+((54•(a2))•b))+(36a•(b2)))+23b3

Step 2:

(((27•(a3))+((54•(a2))•b))+(22•32ab2))+23b3

Step 3:

(((27•(a3))+((2•33a2)•b))+(22•32ab2))+23b3

Step 4:

 ((33a3 +  (2•33a2b)) +  (22•32ab2)) +  23b3

Step 5:

 Factoring:  27a3+54a2b+36ab2+8b3

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Which graph represents the absolute value of –3? A number line going from negative 5 to positive 5. The distance from negative 3
Inga [223]

Answer:

Its the first one Guys

Step-by-step explanation:

I hope that helped :)

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Which of the following graphs of exponential functions corresponds to a geometric sequence with a first term of 4 and a ratio of
ser-zykov [4K]

Answer: graph E.


A geometric sequence can be written as:

a_{n} = a_{1} \cdot r^{(n - 1)}

where:

a₁ = first term = 4

r = ratio = 0.5


Substituting the numbers, we have:

a_{n} = 4 \cdot (\frac{1}{2})^{n-1}

or else

f(x) = 4 \cdot (\frac{1}{2})^{x - 1}


This is an exponential function with base less than 1. Therefore, we can exclude graph C (which depicts a linear function), and graphs A and D (which depict an exponential function with base greater than 1).


In order to choose between graph B and E, let's evaluate the function in two different points:

f(1) = 4 \cdot (\frac{1}{2})^{1 - 1} = 4

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sing traditional methods, it takes 108108 hours to receive a basic driving license. A new license training method using Computer
solniwko [45]

Answer:

z_{stat} = -1.50            

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 108

Sample mean, \bar{x} = 107

Sample size, n = 110

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Population standard deviation, σ = 7

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

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z_{stat} = \displaystyle\frac{107 - 108}{\frac{7}{\sqrt{110}} } = -1.50

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saveliy_v [14]

Answer:

undefined

The problem:

Find the slope for the line going through (3,4) and (3,-4).

Step-by-step explanation:

Line up points vertically and subtract.

Then put 2nd difference over 1st.

( 3 ,  4)

-(3  , -4)

------------

0      8

So the slope would have been 8/0 but this is undefined.

So the slope is undefined.

Also notice the x's are the same and the y's are difference so this is a vertical line. There is only rise in a vertical line and no run.  Recall, slope is rise/run. You cannot divide by 0 so this is why we say the slope is undefined when the x's are always the same no matter the y.

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