What is the equation of the line shown in this graph?<br><br><br> (3,-3) (-2,-3)

A certain compound has a half-life of four days. Write and use an exponential decay function to find the amount of compound rema

dimaraw [331]

Answer:

1.97 ounces

Step-by-step explanation:

-The exponential decay function is given by the formula:

$P_t=P_oe^{-rt}\\\\$

Given that the half-life is 4 days, we can substitute in the formula to solve the rate of decay for a single half-life:

$P_t=P_oe^{rt}\\\\P_t=0.5P_o\\\\\therefore 0.5=e^{-4r}\\\\-4r=In(0.5)\\\\r=0.17329$

#Since, 1 week has 7 days, 3 weeks is a 21-day period, thus, t=21.

#We substitute and solve for the amount remaining after 21days of decay:

$P_t=P_oe^{-rt}\\\\=75e^{-21\times 0.17329}\\\\=1.97072\\\\\approx1.97 \ oz$

Hence, the amount remaining after 3 weeks of decays is approximately 1.97 ounces

4 0

2 years ago

3/4 mile each day for 8 days how far did I walk

Bingel [31]

Answer:

6 miles

Step-by-step explanation:

Since you walked 3/4 miles in 1 day then in 8 days you walked...

3/4*8=3*2=6 miles

4 0

2 years ago

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What is the constant variation of y=5x

loris [4]

Answer:

It's 5.

Step-by-step explanation:

Because a constant is a number next to the variable.

4 0

2 years ago

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Find the approximate volume of the figure below, composed of a cone, a cylinder, and a hemisphere. If necessary, round your answ

mixas84 [53]

Answer:

Volume of the solid = 480.42m³

Step-by-step explanation:

To sov this question, we'll have to break the solid into different shapes of solid to solve it easily.

Volume of a cylinder = πr²h

volume of a hemisphere = 4/3πr³

Volume of a cone = ⅓πr²h

π = 3.14

r = 3m

h(cylinder) = 11m

Slant height of cone = 3√(2)

Height of cone = ?

To find height of cone, we can use pythagorean theorem

a² = b² + c²

[ 3√(2)]² = 3² + c²

9*2 = 9 + c²

C² = 18 - 9

C = 9m

Height of the cone = 9m

Volume of a cylinder = πr²h

V = 3.14 * 3² * 11

V = 310.86m³

Volume of the cylnder = 310.86m³

Volume of the hemisphere = 4/3πr³

V = 3.14 * 3³

V = 84.78m³

Volume of the hemisphere = 84.78m³

Volume of the cone = ⅓πr²h

V = ⅓ * 3.14 * 3² * 9

V = 84.78

Volume of the cone = 84.78m³

Volume of the solid = volume of cone + volume of hemisphere + volume of cylinder

Volume of the solid = 84.78 + 84.78 + 310.86

Volume = 480.42m³

5 0

3 years ago

a window frame that uses a scale of 1 cm to 6 inches. Create another scale drawing of the same window using a scale of 1 cm to 1

Nata [24]

Answer:

Can you plz help me first

Step-by-step explanation:

Can you plz help me first

7 0

2 years ago

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What is the equation of the line shown in this graph? (3,-3) (-2,-3)