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zloy xaker [14]
2 years ago
8

Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had decreased by 2%. If the rate of deca

y is proportional to the amount of the substance present at time t, find the amount remaining after 24 hours. (Round your answer to one decimal place.)
Mathematics
1 answer:
lyudmila [28]2 years ago
7 0

The half-life of the radioactive substance is 67.95 hours.

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Find the indicated side of the<br> triangle.<br> b<br> 7<br> 45°<br> a<br> b = [?]VO
vodka [1.7K]

Answer:

7√2

Step-by-step explanation:

Thank to the give angle we can say that the two legs are congruent

b = \sqrt{7^2 + 7^2} = \sqrt{49+49} = \sqrt{98}

98/2 = 49

49/7 = 7

7/7 = 1

98 = 7^2 x 2

√98 = 7√2

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3 years ago
Farmer bob's square plot ofland is slowly eroding away. Worried about the future of his farm. Farmer Bob measures the rate of er
kow [346]

Answer:

Option A.

Step-by-step explanation:

Area of a square is

A=x^2               .... (1)

where, x is side length.

The length of each side of his square plot is decreasing at the constant rate of 2 feet/year.

\dfrac{dx}{dt}=2

It is given that bob currently owns 250,000 square feet of land.

Fist find the length of each side.

A=250000

x^2=250000

Taking square root on both sides.

x=500

Differentiate with respect to t.

\dfrac{dA}{dt}=2x\dfrac{dx}{dt}

Substitute x=500 and \frac{dx}{dt}=2 in the above equation.

\dfrac{dA}{dt}=2(500)(2)

\dfrac{dA}{dt}=2000

Farmer bob is losing 2,000 square feet of land per year.

Therefore, the correct option is A.

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2 years ago
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ira [324]

Answer:

It should be C

Step-by-step explanation:

I hope this helps

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2 years ago
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Greeley [361]

Answer:

(x - 5) (x + 1)

Step-by-step explanation:

x² - 4x - 5

= x² + x - 5x - 5

= x(x + 1) - 5(x + 1)

= (x - 5) (x + 1)

5 0
2 years ago
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How much more does $1,000 earn in eight years, compounded daily at 3%, than $1,000 over eight years at 3%, compounded semiannual
bekas [8.4K]

Answer:

Step-by-step explanation:

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3 years ago
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