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Vitek1552 [10]
3 years ago
13

(2x3z2)3 ------------------ x3y4z2 * (x-4z3)

Mathematics
1 answer:
Komok [63]3 years ago
8 0
The rules of exponents tell you to add exponents in the numerator and subtract those in the denominator. A power of a power causes the exponent to be multiplied.

\dfrac{(2x^{3}z^{2})^{3}}{x^{3}y^{4}z^2x^{-4}z^{3}}=2^{3}x^{(3\cdot3-3-(-4))}y^{-4}z^{(2\cdot3-2-3)}\\\\=\dfrac{8x^{10}z}{y^{4}}
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Consider the following system of equations:
IrinaK [193]

Answer:

x = 6 ; y = -9

Step-by-step explanation:

8 x + 2 y = 30  ..........equ No 1

7 x + 2 y = 24......... equ No 2

8 x = 30 - 2y

∴ x =\frac{ 30 - 2 y}{8}

substituting the value of x in equ No 2

7 \frac{30 - 2 y}{8} + 2 y = 24

7 ( 30 -2 y) + 2 y × 8 = 24 × 8

7 × 30 - 14 y + 16 y = 192

210 + 2 y = 192

2 y = 192 - 210

2 y = - 18

∴ y = - 9

put y = -9 , 8 x = 30 - 2 y

        8 x = 30 - 2 ( -9)

    8 x = 30 - ( -18)

  8 x = 48

∴ x = 6

x = 6 ; y = -9

3 0
3 years ago
The number of guests per month at a large resort is given in the table below, where f(x) is the number of guests, in hundreds, x
Solnce55 [7]
X = 0 ; y = 10 ; 10 = a(0) + b(0) + c
c = 10

x=2 ; y = 15 ; 15 = a(4) + b(2) + 10 ; 5 = 4a+2b
x=4 ; y=18 ; 18 = a(16) + b(4) + 10 ; 8 = 16a + 4b 

2(5) = (4a+2b)2
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 <u>   8 = 16a + 4b
</u>    2 = -8a

a = -0.25

b = 2

y = (1/4)x^2 + 2x + 10 ; 4y = x^2 + 8x + 40
8 0
3 years ago
Read 2 more answers
NEED HELP ASAP
Aliun [14]
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3 0
3 years ago
The height of a model rocket is 4% of the height of the actual rocket. The model is 1.8 m high. How high is the actual rocket? (
Over [174]
4% = 1.8m
1% = 0.45m
100% = 0.45 x 100 = 45m
5 0
3 years ago
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The circumference of a circle is similar to the
Reil [10]

Answer:

The diameter by Pi or The radius multiplied by 2 time Pi

Step-by-step explanation:

This is because this is how you get the circumference.

3 0
3 years ago
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