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kherson [118]
2 years ago
15

Rachel is going to calculate the following expression: 3.32/1.66+18.4. She calculates the expression as it is written and then w

rites down the answer rounded to the nearest whole number. She then calculates it again, but rounds each of the 3 numbers in the expression to the nearest integer, and then performs the division and addition. She writes this answer down next to the answer she got before. What is the positive difference between the 2 answers she got?
Mathematics
2 answers:
hjlf2 years ago
7 0

Answer:

the answer is 0.5 lol

Ulleksa [173]2 years ago
4 0
0.9
3.32/1.66+18.4 is 20.4
3.32 rounds down to 3
1.66 rounds up to 2
18.4 rounds down to 18
3/2+18 is 19.5
Since they want a positive difference the bigger number goes first
20.4-19.5=0.9
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Ryan is trying a low-carbohydrate diet. He would like to keep the amount of carbs consumed in grams between the levels shown in
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50

Ryan would like to eat <em>more than</em> 50 carbs per day, but <em>no more than</em> 150 carbs per day.

So, Ryan's total carb intake must be <em>between </em>50 and 150 carbs.

Step-by-step explanation:

So he wants to keep his consumption of carbs between the inequalities:

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So, let's solve both inequalities.

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2)

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Written as a compound inequality, this is:

50

In other words, Ryan would like to eat <em>more than</em> 50 carbs per day, but <em>no more than</em> 150 carbs per day.

So, Ryan's total carb intake must be <em>between </em>50 and 150 carbs.

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Find the general solution for differential equation<br><br> (D4 - 5D3 + 5D2 + 5D - 6)y = 0
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=> For general solution of equation,

Solve D4 - 5D3 + 5D2 + 5D - 6 = 0

=> D4 - 5D3 + 6D2 - D2 + 5D - 6 = 0

=> D2 (D2 - 5D + 6) - (D2 - 5D + 6) = 0

=> (D2 - 5D + 6)(D2 - 1) = 0           ................................(1)

Now

D2  - 1 = (D - 1)(D + 1)  and

Factors of D2 - 5D + 6

D2 - 5D + 6 = D2 - 2D - 3D + 6

= D(D - 2) - 3(D - 2)

= (D - 3)(D - 2)

Therefore, equation (1) implies

(D2 - 5D + 6)(D2 - 1) = (D - 3)(D - 2)(D - 1)(D + 1) = 0

=> D = 3, 2, 1, -1 or D = -1, 1,, 2, 3

=> General solution of differential equation is,<span>

=><span> y = C1 e-x + C2 ex + C3 e2x + C4 e3x</span> .

Hope it helps
</span>
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