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2 years ago

Does the function model exponential growth or decay f(x)=3*(7/4)^x

Mathematics

2 answers:

Semenov [28]2 years ago

5 0

Answer:

It models exponential growth.

Step-by-step explanation:

7/4 > 1, so f(x) grows at an exponential rate as x increases.

A graph of f(x) is attached below, showing the exponential growth.

Lubov Fominskaja [6]2 years ago

3 0

Answer:

Exponential functions are patterns that get continuously multiplied by some number. It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.

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Is -28 greater than or less than -162

vivado [14]

Answer:

Any number which is on left side on the line number is less than the number which is on right hand side relative to that number.

As -28 is on the right hand side of the line number, and -162 is heading towards left hand side relative to -28.

Therefore, -28 is greater than -162.

Step-by-step explanation:

To determine:

Is -28 greater than or less than -162?

Solution Steps:

In mathematics, a number line is considered to be a straight line with numbers placed at equal intervals along its length.

A number line could be extended infinitely in any direction i..e -∞ to +∞.

A number is usually represented horizontally.

Any number which is on left side on the line number is less than the number which is on right hand side relative to that number.

As -28 is on the right hand side of the line number, and -162 is heading towards left hand side relative to -28.

Therefore, -28 is greater than -162.

In other words,

$-28>-162\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:\mathrm{True\:for\:all}\:x\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}$

Keywords: number line, less than, greater than

Learn more about number line from brainly.com/question/12153324

#learnwithBrainly

7 0

3 years ago

Whats .0091 rounded to the nearest thousandths

sashaice [31]

.0091 rounded to the nearest thousandths would be .009

8 0

3 years ago

A kite is 85 feet high with 100 feet of string let out. What is the angle of elevation of the string with the ground? Please sho

a_sh-v [17]

Answer:

58°

Step-by-step explanation:

A right triangle can be drawn to model the geometry of the problem. The hypotenuse of the triangle is the length of the string, 100 ft. The side opposite the angle is the height of the kite above the ground, 85 ft.

The mnemonic SOH CAH TOA reminds you of the relationship between sides and angles.

Sin = Opposite/Hypotenuse

sin(α) = (85 ft)/(100 ft) = 0.85

The angle whose sine is 0.85 is found using the arcsine (inverse sine) function:

α = arcsin(0.85) ≈ 58.2°

The angle of elevation is about 58°.

_____

When using your calculator to find the values of inverse trig functions, make sure it is in <em>degrees</em> mode. Otherwise, you're likely to get the answer in radians (≈ 1.01599 radians).

6 0

2 years ago

One indicator of physical fitness is a resting pulse rate. Ten men volunteered to test an exercise device advertised on televisi

Arlecino [84]

Yep that is right I totally agree

4 0

3 years ago

17n + 8 =76 whats n ?

liubo4ka [24]

Answer:

Step-by-step explanation:

Step 1: Subtract 8 from both sides.

17n+8−8=76−8

17n=68

Step 2: Divide both sides by 17.

17n/17

68/17

Answer:4

7 0

3 years ago

Read 2 more answers