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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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Divide (3+2i)/(-4+5i). express answer in standard form

Levart [38]

$\dfrac{3+2i}{-4+5i}=\dfrac{(3+2i)(-4-5i)}{(-4+5i)(-4-5i)}=\dfrac{-12-15i-8i-10i^2}{(-4)^2-(5i)^2}\\\\=\dfrac{-12-23i+10}{16+25}=\dfrac{-2-23i}{41}=-\dfrac{2}{41}-\dfrac{23}{41}i$

8 0

3 years ago

An employees hourly raise went up from $10 per hour to $12 per hour. What is the rate of increase?

Anastaziya [24]

20% because:

rate of Increase = ( final - initial ) / initial * 100

rate of increase = ( 12 - 10 ) / 10 * 100

rate of Increase = 2 / 10 * 100

rate of Increase = 20

5 0

3 years ago

Add: 3/8 + 1/8 + 2/8

Ghella [55]

The answer to 3/8+ 1/8 + 2/8 = 0.75 or 3/4

4 0

3 years ago

Find a, d, e on a triangle.

DiKsa [7]

Answer:

A=20 degrees

D=70 degrees

E=110 degrees

Step-by-step explanation:

A=20 because a right angle always = 90 so 90-70=20

D=70 because I believe that angles C and D make a right angle, and C = 20 degrees, so we now subtract. 90-20=70

E=110 because D and E = a straight line, which is 180, and sense D is 70 degrees, all we need to do is subtract. 180-70 is 110, so our answer is 110

Hoped this helped, and let me know if I messed up somewhere.

4 0

3 years ago

Read 2 more answers

400.0 ml of a gas are under pressure of 80.0 kpa what would the volume of the gas be at a pressure of 100.0 kpa

Ber [7]

Answer:

The final volume is 320 mL at pressure of 100 kPa.

Step-by-step explanation:

Boyle's law gives the relation between volume and pressure of a gas. It states that at constant temperature, volume is inversely proportional to its pressure such that,

$V\propto \dfrac{1}{P}\\\\P_1V_1=P_2V_2$

Let

$V_1=40\ mL\\\\P_1=80\ kPa\\\\P_2=100\ kPa$

We need to find $V_2$ . Using above equation, we get :

$V_2=\dfrac{P_1V_1}{P_2}\\\\V_2=\dfrac{400\times 80\times 10^3}{100\times 10^3}\\\\V_2=320\ mL$

So, the final volume is 320 mL at pressure of 100 kPa.

6 0

3 years ago