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3 years ago

What is 2/3rd a decimal rounded to the third decimal

Mathematics

1 answer:

dimulka [17.4K]3 years ago

5 0

Answer:

0.667 or 0.666 (with the line over the last sixth)

Step-by-step explanation:

The original answer is 0.666666666666666 (continued on forever). Find the third decimal place and determine whether the next number follows the "5 or greater" rounding rule and round from there. The answer depends on the type of teacher.

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In a community garden (shown to the right) you want to plant and fence in a vegetable garden that is adjacent to your friend’s g

Tju [1.3M]

A possibility is 18 feet.

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3 years ago

When Jorge put the pots and pans in the sink,the water level in the sink rose 0.6 inches. If the sink is a rectangular prism wit

Viktor [21]

$V_1$ - volume without pots and pans
$V_2$ - volume with pots and pans
$V_2-V_1$ - volume of pots and pans

$V_1=17\cdot23\cdot h=391h\ in^3\\ V_2=391(h+0.6)=391h+234.6\ in^3\\
V_2-V_1=391h+234.6-391h\\
V_2-V_1=234.6 \ in ^3$

6 0

3 years ago

Evaluate Dx / ^ 9-8x - x2^

Solnce55 [7]

It depends on what you mean by the delimiting carats "^"...

Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for $\sqrt x$ .

In that case, you want to find the antiderivative,

$\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}$

Complete the square in the denominator:

$9-8x-x^2=25-(16+8x+x^2)=5^2-(x+4)^2$

Now substitute $x+4=5\sin y$ , so that $\mathrm dx=5\cos y\,\mathrm dy$ . Then

$\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\int\frac{5\cos y}{\sqrt{5^2-(5\sin y)^2}}\,\mathrm dy$

which simplifies to

$\displaystyle\int\frac{5\cos 
y}{5\sqrt{1-\sin^2y}}\,\mathrm dy=\int\frac{\cos y}{\sqrt{\cos^2y}}\,\mathrm dy$

Now, recall that $\sqrt{x^2}=|x|$ . But we want the substitution we made to be reversible, so that

$x+4=5\sin y\iff y=\sin^{-1}\left(\dfrac{x+4}5\right)$

which implies that $-\dfrac\pi2\le y\le\dfrac\pi2$ . (This is the range of the inverse sine function.)

Under these conditions, we have $\cos y\ge0$ , which lets us reduce $\sqrt{\cos^2y}=|\cos y|=\cos y$ . Finally,

$\displaystyle\int\frac{\cos y}{\cos y}\,\mathrm dy=\int\mathrm dy=y+C$

and back-substituting to get this in terms of $x$ yields

$\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\sin^{-1}\left(\frac{x+4}5\right)+C$

4 0

3 years ago

7 times the number of cookies in the jar plus 5 more from the tray is 54. How many cookies are in the jar?

Digiron [165]

Answer:

The number of cookies in the jar is 7.

If we include the 5 cookies from the tray in the jar the total number of cookies would be 5 + 7 = 12

Step-by-step explanation:

Consider the number of cookies in the jar as 'x'. Hence the equation formed would be:-

7(x) + 5 = 54

7x + 5 = 54

7x = 54 - 5

7x = 49

x = $\frac{49}{7}$

x = 7

The number of cookies in the jar is 7.

If we include the 5 cookies from the tray in the jar the total number of cookies would be 5 + 7 = 12

Hope this helps.

8 0

3 years ago

Please help me !! im stuck with this !

postnew [5]

There are 4 As and 3 Bs, so the ratio of Bs to the total number of As and Bs is ...

... (count of Bs) : (count of As + count of Bs)

... = 3 : (4 + 3)

... = 3 : 7

Expressed as a fraction, this is

... 3/7

6 0

3 years ago

What is 2/3rd a decimal rounded to the third decimal​

What is 2/3rd a decimal rounded to the third decimal