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3 years ago

Annie says that her Rabbit weighs 2563 grams. Give this weight correct to:

Mathematics

1 answer:

Mashutka [201]3 years ago

5 0

Answer:

2563

a) nearest 10 grams -- round the tens place

i. 63 → 60

ii. 2560 g

b) nearest 100 grams -- round the hundreds place

i. 563 → 600

ii. 2600 g

c) nearest kilograms -- convert grams to kilograms & round

i. 2563 → kilograms = "decimal hop" 3 places to the left → 2.563

ii. 2.563 → 3

iii. 3 kg

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The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha

Xelga [282]

Answer:

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

Step-by-step explanation:

Let suppose that function $f$ is continuous and integrable in the given intervals, by integral definition of average we have that:

$\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6$ (1)

$\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20$ (2)

By Fundamental Theorems of Calculus we expand both expressions:

$\frac{F(3)-F(-2)}{3-(-2)} = -6$

$F(3) - F(-2) = -30$ (1b)

$\frac{F(5)-F(3)}{5-3} = 20$

$F(5) - F(3) = 40$ (2b)

We obtain the average value of $f$ over the interval $[-2, 5]$ by algebraic handling:

$F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)$

$F(5) - F(-2) = 10$

$\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}$

$\bar f = \frac{10}{7}$

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

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2 years ago

5. What’s the answer to this question ASAP

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Answer:

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3 years ago

If the pattern continues how many cups of milk does George need to make 6 batches of muffins

alexdok [17]

Answer:

see explanation

Step-by-step explanation:

If we consider the differences between consecutive terms, that is

$\frac{3}{4}$ - $\frac{3}{8}$ = $\frac{3}{8}$

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To obtain the next term in the pattern add $\frac{3}{8}$ to the previous term.

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batches = 6 ⇒ milk = 1 $\frac{7}{8}$ + $\frac{3}{8}$ = 2 $\frac{1}{4}$

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2 years ago

You buy two packages of almonds. One package is 10.47 kg and the other is 8.23 kg. What is the difference?

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Answer:

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Step-by-step explanation:

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3 years ago

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2 years ago