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dolphi86 [110]
4 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]4 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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What value of X makes this equation true?
Studentka2010 [4]

Answer:

The answer is B

Step-by-step explanation:

-53=8x+5

First you would subtract the 5 on both sides then you would end up with

-58=8x

then you would divide both sides by 8 and get 7.25 or 7 1/4

6 0
3 years ago
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According to the fundamental theorem of algebra, which polynomial function has exactly 6 roots? f (x) = 5 x superscript 4 baseli
MariettaO [177]

The polynomial with 6 roots is the one of degree 6, so the correct option is:

f(x) = 7x^6 + 3x^2 + 12

<h3>Which polynomial function has 6 roots?</h3>

You need to remember that if p(x) is a polynomial of degree N, then it has N roots (such that some of these N roots may be equal or not).

Then we just need to find the polynomial of degree 6. (Remember that the degree represents the maximum exponent of the polynomial).

In this case, the only one of degree 6 is:

f(x) = 7x^6 + 3x^2 + 12

Which is the last option.

If you want to learn more about polynomials, you can read:

brainly.com/question/4142886

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4 0
3 years ago
Plese help will give crown to best answer!!! 73 points!!! gx =4x +1 when g(3)
Lemur [1.5K]
G(3)=13 ,
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5 0
3 years ago
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A firm has a debt to asset ratio of 75%, $264,000 in debt, and net income of $49,280. calculate return on equity
svlad2 [7]
Asset = 264,000 / 0.75 = $352,000
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3 0
3 years ago
Hector spent $41.75 for 2 DVDs that cost the same amount. The sales tax on his purchase was $3.15. Hector also used a coupon for
kykrilka [37]

Given:

Amount spent on 2 DVDs = $41.75

Sales tax = $3.15

Coupon = $1.00 off

To find:

The cost of each DVD.

Solution:

Let x be the cost of each DVD.

Then, cost of two DVDs = 2x

Amount spent of 2 DVDs = Cost of 2 DVDs + Sales tax - Coupon discount

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Divide both sides by 2.

\dfrac{39.6}{2}=x

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Therefore, the cost of each DVD is $19.8.

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3 years ago
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