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Strike441 [17]
3 years ago
15

What is 5p to the -7 power/20p to the 2 power simplified

Mathematics
1 answer:
mr_godi [17]3 years ago
8 0

Answer:

p^(-9) or 1/p^9

Step-by-step explanation:

Here we have:

  (5p)^(-7)

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

   (20p)^2

Let's temporarily remove the coefficient 5/20 and reduce it to 1/4.

then we have:

            1                             1               1

(1/4) -------------  = (1/4) -------------- = ------------

       p^7*p^2               p^(7 + 2)         p^9

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The height of a triangle is 7 ft more than its base. If the area of the triangle is 30 ft2, what is the length of the base?
SSSSS [86.1K]

Answer:

see below

Step-by-step explanation:  5 27  7  16

area = 1/2 bh

height of a triangle is 7 ft more than its base

base = b

height = b + 7

area = 30

area = 1/2 b(h)

30 = 1/2 b(b + 7)

30 = 0.5(b²+ 7b)

30 = 1/2 b²+ 3.5b           solve for b

1/2 b²+ 3.5b = 30        

1/2 b²+ 3.5b - 30 = 0        

b²+ 7b - 60 = 0            factor

   (b +12)(b - 5) = 0    when b = -12 or 5     base length can't be negative

b = base = 5

area = 1/2 bh     1/2×2(9)     = 9

area = 1/2 bh     1/2×5(12)     = 60

area = 1/2 bh     1/2×9(16)     = 56

area = 1/2 bh     1/2×12(19)     = 114

5 0
2 years ago
Notice that the original recipe calls for 1/4 cup of water. If you put in 3/8 cup of water, by how much have you multiplied the
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Answer:

2.5x more people being served

and 2.5x more water

Step-by-step explanation:

7 0
2 years ago
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What are the center and radius of the circle defined by the equation x^2 + y^2 -6x + 4y + 4=0
Sloan [31]

The equation of a circle:

(x-h)^2+(y-k)^2=r^2

(h, k) - a coordinates of the center

r - a radius

x^2+y^2-6x+4y+4=0\ \ \ |-4\\\\x^2-2\cdot x\cdot3+y^2+2\cdot y\cdot2=-4\ \ \ |+3^2\ |+2^2\\\\\underbrace{x^2-2\cdot x\cdot3+3^2}_{(a-b)^2=a^2-2ab+b^2}+\underbrace{y^2+2\cdot y\cdot2+2^2}_{(a+b)^2=a^2+2ab+b^2}=-4+3^2+2^2\\\\(x-3)^2+(y+2)^2=3^2

Answer:

the center: (3, -2)

the radius: 3

5 0
3 years ago
Write a function rule that produces an output of 7 for an input of 1.6
Karolina [17]
Here is a function rule that produces an output of 7 for an input of 1.6

f(x) = x + 5.4

when x = 1.6, f(x) = 1.6 + 5.4 = 7
4 0
2 years ago
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The Answer Is C Fam...................
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