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lara [203]
3 years ago
14

Is it necessary to do all of the calculations to determine the sign of the product? Why or why not?

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
6 0

Answer:

= (- 475)

Step-by-step explanation:

Given:

(-5) × (-5) × ... × (-5) = (-5)95

Find:

Sign of the product

Computation:

(-5) × (-5) × ... × (-5) = (-5)95

= (- 475)

No, it is not compulsory to do all calculation to find sigh of product

Negative number × odd time = Negative number

Negative number × even time = Positive number number

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the altitude of the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 14 and 8. what is the length
lisov135 [29]

Answer:

B. 4\sqrt{7}

Step-by-step explanation:

The right triangle altitude theorem states that the altitude of a right angled triangles formed on the hypotenuse is equal to the geometric mean of the 2 line segments it creates.

This can be represented as:

h = \sqrt{(xy)}

Where,

h = the length of the altitude,

x and y are the lengths of the 2 segments formed.

Therefore, the length of the altitude = h = \sqrt{(14*8)}

h = \sqrt{112}

h = \sqrt{16}*\sqrt{7}

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3 years ago
The function h (d) = 2d + 4.3 relates the height (h) of the water in a fountain in feet to the diameter (d) of the pipe carrying
mezya [45]

Answer:

h(1.5) = 7.3 ft

h(10.3) = 24.9 ft

Step-by-step explanation:

Given the function h(d) = 2d + 4.3,

where:

h = height of the water in a fountain (in feet)

d = diameter of the pipe carrying the water (in inches)

<h3>h(1.5)</h3>

Substitute the input value of d = 1.5, into the function:

h(1.5) = 2(1.5) + 4.3

h(1.5) = 3 + 4.3

h(1.5) = 7 feet

The height of the water in a fountain is 7 feet when the diameter of the pipe is 1.5 inches.

<h3>h(10.3)</h3>

Substitute the input value of d = 10.3, into the function:

h(10.3) = 2(10.3) + 4.3

h(10.3) = 20.6 + 4.3

h(10.3) = 24.9 feet

The height of the water in a fountain is 24.9 feet when the diameter of the pipe is 10.3 inches.

<h3>Context of the solutions to h(1.5) and h(10.3):</h3>

The solutions to both functions show the relationship between the diameter of the pipe to the height of the water in a fountain.  The height of the water in fountain increases relative to the diameter of the pipe.  In other words, as the diameter or the size of the pipe increases or widens, the height of the water in a fountain also increases.  

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