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Tatiana [17]
3 years ago
8

If Log x (1 / 8) = - 3 / 2, then x is equal to. A. - 4 B. 4 C. 1 / 4 D: 0

Mathematics
1 answer:
Softa [21]3 years ago
5 0

log_{x}(1/8)=-3/2

This is equal to...

x^{-3/2}=1/8

We want "x" so we need to isolate it using laws of exponents...

x^{(-1)(3/2)}=1/8

x^{3/2}=8 because x^{-a}=1/x^{a}

x=\sqrt[3]{8^{2}} because x^{a/b}=\sqrt[b]{x^{a}}

x = 4

answer: B

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Answer

b. 32 sq. unit

Step-by-step Explanation

The area of the trapezoid is given by

A = \frac{1}{2} (b_{1} + b_{2}) \times h

We substitute the given values into the formula to obtain;

A = \frac{1}{2}(10 + 6) \times 4

Simplify

A = \frac{1}{2} (16) \times 4

A = 16 \times 2
Hence the area is

A = 36 \: sq \: units
6 0
3 years ago
A triangular towelette has a base of 2 inches and a height of 3 inches. What is the area of a towelette with double the base and
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A triangle with a base of 2 and a height of 3.

Double the base and it becomes 4, and double the height and it becomes 6.

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2 years ago
The value of n in the inequality 3n + 1 < 7 is
aliya0001 [1]

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8 0
3 years ago
((x-h)^2)+((y-k)^2)​
Schach [20]

Answer:

Step-by-step explanation:

= (x^2 + h^2 - 2xh) + (y^2 + k^2 - 2yk)     As, (a-b)^2 = a^2 + b^2 - 2ab

= x^2 + h^2 - 2xh + y^2 + k^2 - 2yk

5 0
3 years ago
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Nataly_w [17]

Answer:

One avocado costs $1 and one tomato costs $0.50

Step-by-step explanation:

Set up a system of equations where t is the number of tomatoes and a is the number of avocados:

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6t + 14a = 17

Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2:

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So, one avocado costs $1 and one tomato costs $0.50

3 0
2 years ago
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