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Mathematics

2 answers:

White raven [17]3 years ago

5 0

Answer:

<h2>Both the angles are the same because they correspond.</h2>

<h2>Corresponding angles are angles which occupy the same relative position at a same section when a line crosses two others.If the two lines are parallel, the corresponding angles are equal.</h2><h2 /><h2 /><h2 /><h2 /><h2>Don't hesitate to ask me for further explation</h2>

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zhannawk [14.2K]3 years ago

3 0

Answer:

Angle HGB is equal to Angle FHD because of corresponding angles.

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Corresponding angles normally have an F shape, and it happens when the angles are on the same line, and there are two lines that are parallel to each other.

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Does each function describe exponential growth or decay?

Aleksandr [31]

<h3>Answer: Only first two are exponential growth function and last three functions are exponential decay functions.</h3>

Step-by-step explanation: We need to describe exponential growth or decay for the given functions.

The standard exponential function equation is

$y=a(b)^x$ .

Where a is the initial value and b is the growth factor.

Note: If value of b > 1, it would be an exponential growth and if b < 1, it would be an exponential decay.

Let us check them one by one.

$y=(1.008^{1/12}})^{12t}$ => $y=(1.008^})^{1/12\times{12t} }$

=> $y= (1.008)^t$ .

Value of b is 1.008 > 1, therefor it's an exponential growth function.

y=250(1+0.004)^t, also have b>1 therefor it's an exponential growth function.

All other functions has b values less than 1, therefore only first two are exponential growth function and last three functions are exponential decay functions.