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kirill [66]
3 years ago
8

Y = a(b)*

Mathematics
1 answer:
klemol [59]3 years ago
7 0
Initial value I think
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Simplify (xy)^-3/(x^-5y)^3
Nesterboy [21]
Use:\\\\(a\cdot b)^n=a^n\cdot b^n\\\\a^n:a^m=a^{n-m}\\\\\left(a^n\right)^m=a^{n\cdot m}\\\\a^{-n}=\left(\frac{1}{a}\right)^{n}\\==================================\\\frac{(xy)^{-3}}{(x^{-5}y)^3}=\frac{x^{-3}y^{-3}}{(x^{-5})^3y^3}=\frac{x^{-3}y^{-3}}{x^{-15}y^3}=x^{-3-(-15)}y^{-3-3}=\boxed{x^{12}y^{-6}=\frac{x^{12}}{y^6}}
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3 years ago
 can someone please help for brainliest!!!!!
Marina86 [1]

Answer:

B

Step-by-step explanation:

6 0
2 years ago
An arithmetic sequence has a1 = 22 and a8 = 43. Find a15.
brilliants [131]

The 15th term of the arithmetic sequence a_{15} = 64

Option B is correct

The nth term of an arithmetic sequence is given as:

a_{n} = a + (n - 1)d

The first value, a = 22

a_8 = a+(8 - 1)d\\a_8 = a + 7d

Since a_8 = 43

43 = 22 + 7d\\7d = 43 - 22\\7d = 21\\d = \frac{21}{7}\\d = 3

The common difference, d = 3

a_{15}= a + (15-1)d\\a_{15} = a + 14d\\a_{15} = 22 + 14(3)\\a_{15} = 22 + 42\\a_{15} = 64

The 15th term of the arithmetic sequence = 64

Learn more here: brainly.com/question/24072079

4 0
2 years ago
Ian picked up six teen red cars and 12 black cars from the floor of his room he put the same number of each color cars into two
Ad libitum [116K]
16 red cars and 12 black cars. He put half of each colour in each box. Therefore he would put 8 red and 6 black in each box. 8 red + 6 black is 14. Therefore he would have 14 cars in each box. 

14. 
5 0
3 years ago
Read 2 more answers
a hiking path is represented by the equation y=3/8x on a coordinate map. The county would like to create a parallel path for bik
stepladder [879]

Answer:

The equation of the bike path on a coordinate map is represented by y = \frac{3}{8}\cdot x +1.

Step-by-step explanation:

From Analytical Geometry, we know that resultant parallel line is a translated version of parent line. Two lines are parallel to each other when they share the same slope. The resultant line can be construted from slope-point form:

y-y_{o} = m_{\parallel}\cdot (x-x_{o})

Where:

x_{o}, y_{o} - Components of known point, dimensionless.

m_{\parallel} - Slope of the parallel line, dimensionless.

In addition, a line has also this form:

y = m\cdot x + b

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

m - Slope, dimensionless.

b - y-Intercept, dimensionless.

Given that parent function is y = \frac{3}{8}\cdot x, the slope of the resulting line is m_{\parallel} = \frac{3}{8}. Now, if x_{o} = 16 and y_{o} = 7, we obtain the equation of the line:

y-7 = \frac{3}{8}\cdot (x-16)

y = \frac{3}{8}\cdot x +1

The equation of the bike path on a coordinate map is represented by y = \frac{3}{8}\cdot x +1.

3 0
3 years ago
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