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3 years ago

What is 6,539.63 rounded to the nearest whole number

Mathematics

2 answers:

grandymaker [24]3 years ago

5 0

Nearest whole number is without decimals. 6540 is the nearest whole number.

vovangra [49]3 years ago

3 0

6540 is the answer

Rate and thanks!

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What is the equation of the parabola with focus (1/3, 2/3) and directrix y = 1/2pls help ill give points

maw [93]

Answer:

D. y = 3·x² - 2·x + 11/12

Step-by-step explanation:

The coordinates of the focus of the parabola, f = (1/3, 2/3)

The directrix of the parabola, y = 1/2

The standard form of the equation of a parabola is (x - h)² = 4·p·(y - k)

The coordinates focus = (h, k + p)

The y-coordinates of the directrix, y = k - p

By comparison, we have;

h = 1/3...(1)

k + p = 2/3...(2)

k - p = 1/2...(3)

Adding equation (3) to equation (2) gives;

k + p + (k - p) = k + k + p - p = 2·k = 2/3 + 1/2 = 7/6

k = (7/6)/2 = 7/12

k = 7/12

From equation (2), we get;

p = 2/3 - k

∴ p = 2/3 - 7/12 = 1/12

p = 1/12

The equation of the parabola is therefore;

(x - 1/3)² = 4·(1/12)·(y - 7/12) = y/3 - 7/36

y = 3 × ((x - 1/3)² + 7/36) = 3 × ((x² - 2·x/3 + 1/9) + 7/36) = 3·x² - 2·x + 11/12

y = 3·x² - 2·x + 11/12.

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3 years ago

Farmers are better than doctors<br><br>

const2013 [10]

Answer:

they are both the same

Step-by-step explanation:

farmers give us food and doctors make us healthier

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3 years ago

(20 points) A 2-liter bottle of soda (67.6 ounces) costs $1.89. A case of twelve 12 ounce

horrorfan [7]

Answer:

Unit price of a 2-liter bottle of soda: $\$0.028\ per\ ounce$
Unit price of a case of twelve 12 ounce cans: $\$0.021\ per\ ounce$
The better bargain is the case of 12 ounce cans.

Step-by-step explanation:

Let be "x" the unit price (price/ounce) of the soda in the 2-liter bottle and "y" the unit price (price/ounce) of the soda in the case of twelve 12 ounces cans.

According to the data provided in the exercise, you know that:

1. The 2-liter bottle of soda is equal to 67.6 ounces.

2. That bottle costs $1.89

Then, the unit price is:

$x=\frac{1.89}{67.6}\\\\x\approx0.028$

3. There are 12 ounce cans in the case. Then the total ounces is:

$12\ oz*12=144\ oz$

4. It costs $2.99. So the unit price is:

$y=\frac{2.99}{144}\\\\y\approx0.021$

Since:

$y$

The better bargain is the case of 12 ounce cans.

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3 years ago

Find an area of a figure whose coordinates are A(-2, 2), B(2, 2), and D(-2, -2).

ivann1987 [24]

8 square units
A triangle

8 0

3 years ago

The sum of a number and 15 is 63 find the number

tatuchka [14]

Answer:

x = 48

Step-by-step explanation:

$x+15=63\\x=48$

3 0

3 years ago

Read 2 more answers