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1 year ago

Can someone help with this? I don't understand how to find the answer

Mathematics

1 answer:

Ierofanga [76]1 year ago

8 0

Center (1,4)
Hope this helps!

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Find two irrational numbers and two rational numbers between 0.5 and 0.552.

seropon [69]

Answer:

Rational: 0.51 and 0.52

Irrational: sqrt(.26) and sqrt(.27)

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2 years ago

If the measure of F is 46 degrees. What does angle C measure? A E B D C

melomori [17]

Answer:

46 degrees, they are equal. Hope that helped! (would appreciate being brainliest)

Step-by-step explanation:

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3 years ago

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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2 years ago

The following graph indicates a _______________.

inna [77]

Bfh ju yrdfhjjgfjkiytdcbnkl

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2 years ago

Estimate a 15% tip on a dinner bill of 79.45 by first rounding the bill amount to the nearest ten dollars.

suter [353]

Answer: 12$

Step-by-step explanation:

We need to round 79.45 to the nearest 10 dollars, which is 80.

We can then get 15% of it easily since its a whole number by adding 10% (8) and 5% (4) to get an estimate of around 12 dollars.

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2 years ago