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3 years ago

Is f(x)=0.5(2)x exponential decay?

1 answer:

4 0

$y=a^x\\\\decay\ if\ a\in(0,\ 1)\\growth\ if\ a > 0\\\\f(x)=0.5(2)^x\to a=2 > 0\\\\Answer:\ It's\ exponential\ growth,\ not\ decay.$

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Teresa is building a scale model of the JP Morgan chase Tower in Houston.In her scale model, 1.5 inches represents 61 meters. Si

Jet001 [13]

Answer:

Teresa should build 7.5 inches model.

Step-by-step explanation:

Consider the provided information.

Teresa is building a scale model of the JP Morgan chase Tower in Houston.

Her scale model, 1.5 inches represents 61 meters.

The actual building is 305 meters tall,

First find how many 61's are there in 305.

For this divide 305 by 61.

$\frac{305}{61}= 5$

Actual building is 5 times taller than 61. Thus the model should be 5 times taller than 1.5.

multiply 1.5 with 5 gives us:

$1.5\times 5=7.5$

Hence, Teresa should build 7.5 inches model.

7 0

3 years ago

What is the measure of angle C?

attashe74 [19]

Answer:

113

Step-by-step explanation:

supplementray means 180-67=113

5 0

3 years ago

Read 2 more answers

What is the common difference, d, in the arithmetic sequence defined by the formula below? an=2n+1

marishachu [46]

<h3><u>Answer:</u></h3>

d = 2

<h3><u>Solution:</u></h3>

We are given that the arithmetic progression is defined by :

➝ 2n + 1

<em>Therefore, </em>

<u>For </u><u>first </u><u>term</u>

➙ n = 1

➝ 2 × 1 + 1

➝ 2 + 1

➝ 3

<u>For </u><u>second </u><u>term</u>

➙ n = 2

➝ 2 × 2 + 1

➝ 4 + 1

➝ 5

<u>Common </u><u>difference</u>

➙ 2nd term - 1st term

➝ 5 - 3

➝ 2

<h3><u>More </u><u>information</u><u>:</u></h3>

The difference between the successive term and the preceding term is the difference of an arithmetic progression. It is always same for the same arithmetic progression.

5 0

2 years ago

The vampires played 20 games. The team won 4 more games than it lost. How many games did the vampires win?

PolarNik [594]

The vampires won 12 games :)

4 0

3 years ago

Simplify the expression with using scientific notation (4 times 10 8)2

kifflom [539]

The scientific notation:

$a\cdot10^n\\\\1\leq a < 10;\ n\in\mathbb{Z}$

$(4\cdot10^8)^2=4^2(10^8)^2=16\cdot10^{8\cdot2}=16\cdot10^{16}\\\\=1.6\cdot10\cdot10^{16}=1.6\cdot10^{17}$

Used:

$(a\cdot b)^n=a^n\cdot b^n\\\\(a^n)^m=a^{n\cdot m}\\\\a^n\cdot a=a^{n+1}$

Answer: (4 × 10⁸)² = 1.6 × 10¹⁷

8 0

3 years ago