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dolphi86 [110]
3 years ago
11

A 14 gram sample of a substance that's used to preserve fruit and vegetables has a k-value of 0.1092. Find the substance's half-

life, in days. Round your answer to the nearest tenth. N=Noe^-kt
Mathematics
1 answer:
nignag [31]3 years ago
5 0

Answer:

t = 6.3

Step-by-step explanation:

N=Noe^(-kt)

No = 14 grams

k = .1092

We want to find t when N = 7 or 1/2 of 14

N=Noe^(-kt)

7 = 14 e ^ (-.1092t)

Divide each side by 14

1/2 = e ^ (-.1092t)

take the natural log of each side

ln (1/2) = ln e ^ (-.1092t)

ln (1/2) = -.1092t

Divide each side by -.1092

ln (1/2)/ -.1092 = t

t≈6.3475

Rounding to the nearest tenth

t = 6.3

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A cab driver is paid $6 plus $0. 45 per mile driven. Which expression shows the amount of money the cab driver earns in m miles?
Leni [432]

Algebraic expression is the expression which consist the variables, coefficients and the constants. The expression for the condition given in the problem is 0.45m+6.

Given information

A cab driver is paid $6 plus $0.45 per mile driven.

Total number of total miles is <em>m.</em>

<h3>Algebraic expression</h3>

Algebraic expression is the expression which consist the variables, coefficients and the constants. The algebraic expression are used to solve the condition based problems by expressing them into the algebraic form.

As the cab driver is paid $6 as the fixed amount of the taxi irrespective to the mile driven. Thus this is independent to the other variables and written as the constant in the expression.

As the total miles driven by the cab driver is<em> m</em>. The cost of the per mile driven the car is $0.45. Thus the expression for this condition can be given as,

f(m)=0.45m+6

Hence, the expression for the condition given in the problem is 0.45m+6.

Learn more about the algebraic expression here;

brainly.com/question/953809

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2 years ago
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Answer:

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Step-by-step explanation:

3y=4y-40 because they are alternate interior

Solve for y.

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Substitute 40 in for y.

4(40)-40=x+15

Solve.

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Sarah wants to buy a new pair of sandals. The sandals are $45 and she has a coupon for 30% off. What is the price of her sandles
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Answer:

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Step-by-step explanation:

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