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2 years ago

C. In (MN) = In M + In N, for M> 0 and N> 0 True or false

Mathematics

1 answer:

melisa1 [442]2 years ago

8 0

That statement is true

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A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per hour for gardening. Because he is s

marusya05 [52]

Answer:

10/20

Step-by-step explanation:

$15 for 10 hours and $20 for 10 hours

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2 years ago

Can someone please help

Mila [183]

Answer:

B) 180 degrees

Step-by-step explanation:

Turning it 180 degrees would be the exact opposite of the position that is in now and would be the same position

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2 years ago

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Determine whether each equation is True or False. In case you find a "False" equation, explain why is False.

elixir [45]

Answer:

(1) TRUE.

(2) FALSE.

(3) FALSE.

(4) TRUE.

(5) FALSE.

Step-by-step explanation:

(1) $\sqrt{32} = 2^{\frac{5}{2} }$

$2^{\frac{5}{2} } = (\sqrt{2} )^5 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 4\sqrt{2}\\\\\sqrt{32} = \sqrt{16 \ \times \ 2}\ = \ \sqrt{16} \ \times \ \sqrt{2} \ = \ 4\sqrt{2}$

Thus, the equation is TRUE.

(2) $16^{\frac{3}{8} } = 8^2$

$16^{\frac{3}{8} } =(2^4)^{\frac{3}{8} } = 2^\frac{3}{2} }= (\sqrt{2} )^3 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 2\sqrt{2} \\\\8^2 = 64$

Thus, the equation is FALSE.

(3) $4^{\frac{1}{2} } = \sqrt[4]{64}$

$4^{\frac{1}{2} }= \sqrt{4} = 2\\\\\sqrt[4]{64} = (64)^{\frac{1}{4} } = (2^6)^{\frac{1}{4} }= 2^{\frac{6}{4} } = 2^{\frac{3}{2} }=(\sqrt{2} )^3 = (\sqrt{2} \times \sqrt{2} \times \sqrt{2} ) = 2\sqrt{2}$

Thus, the equation is FALSE.

(4) $2^8 = (\sqrt[3]{16} )^6$

$2^8 = 256\\\\ (\sqrt[3]{16} )^6 = (16)^{\frac{6}{3} } = (2^4)^{\frac{6}{3} } = (2)^{\frac{24}{3} } = 2^8 = 256$

Thus, the equation is TRUE.

(5) $(\sqrt{64} )^{\frac{1}{3} } = 8^{\frac{1}{6} }\\\\$

$8^{\frac{1}{6} } = (2^3)^{\frac{1}{6} } = 2^{\frac{3}{6} } = 2^{\frac{1}{2} } = \sqrt{2} \\\\(\sqrt{64} )^{\frac{1}{3} } = (2^6)^{\frac{1}{3} } = 2^{\frac{6}{3} } = 2^2 = 4$

Thus, the equation is FALSE.

4 0

2 years ago

What is the positive solution for the equation: x2−8x=9

krek1111 [17]

Answer:

3.33..

Step-by-step explanation:

x2-8x=9

x-6x=9

-5x=9

x=-5/9

(-5/9)(2)-8(-5/9)=3.33.. (3 and 1/3)

8 0

1 year ago

Read 2 more answers

The sum of three consecutive odd integers 171

Artyom0805 [142]

55,57,59
Let the smallest integer = x
171= (x) + (x+2) + (x+4)
171= 3x + 6
3x = 165
x= 55
therefore the integers are 55, 57, 59

6 0

2 years ago