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4 years ago

A food can claim it is "high in" a particular nutrient if it contains 20% or more of the DV. This food is a "high ____" food.

Mathematics

1 answer:

oee [108]4 years ago

3 0

Answer: Iron

Explanation:

The food contain high iron food as the daily value (DV) of the iron is 45% and most of the nutrient claimed that food contain low sodium but contain good source of the fiber. The food is high in the amount of the nutrient with 20% daily value.

The daily value actually recommend the minimum amount of the particular nutrient which everyone should consume in daily life.

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If S_1=1,S_2=8 and S_n=S_n-1+2S_n-2 whenever n≥2. Show that S_n=3⋅2n−1+2(−1)n for all n≥1.

Snezhnost [94]

You can try to show this by induction:

• According to the given closed form, we have $S_1=3\times2^{1-1}+2(-1)^1=3-2=1$ , which agrees with the initial value S₁ = 1.

• Assume the closed form is correct for all n up to n = k. In particular, we assume

$S_{k-1}=3\times2^{(k-1)-1}+2(-1)^{k-1}=3\times2^{k-2}+2(-1)^{k-1}$

and

$S_k=3\times2^{k-1}+2(-1)^k$

We want to then use this assumption to show the closed form is correct for n = k + 1, or

$S_{k+1}=3\times2^{(k+1)-1}+2(-1)^{k+1}=3\times2^k+2(-1)^{k+1}$

From the given recurrence, we know

$S_{k+1}=S_k+2S_{k-1}$

so that

$S_{k+1}=3\times2^{k-1}+2(-1)^k + 2\left(3\times2^{k-2}+2(-1)^{k-1}\right)$

$S_{k+1}=3\times2^{k-1}+2(-1)^k + 3\times2^{k-1}+4(-1)^{k-1}$

$S_{k+1}=2\times3\times2^{k-1}+(-1)^k\left(2+4(-1)^{-1}\right)$

$S_{k+1}=3\times2^k-2(-1)^k$

$S_{k+1}=3\times2^k+2(-1)(-1)^k$

$\boxed{S_{k+1}=3\times2^k+2(-1)^{k+1}}$

which is what we needed. QED

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Answer:

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Step-by-step explanation:

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goblinko [34]

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4 years ago

Simplify 4 to the seventh power over 5 squared all raised to the third power . (4 points)

julsineya [31]

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2 years ago

Evaluate the expression 3.14(a2 + ab) when a = 4 and b = 3. (Input decimals only, such as 12.71, as the answer.

kondaur [170]

Answer:

87.92

Step-by-step explanation:

3.14(a²+ab)=

Plugging in values for a and b

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3.14(16+12)=

3.14(28)=

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3 years ago

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