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3 years ago

How to write 2 2/13 to a decimal to nearest thousandth

Mathematics

1 answer:

Alja [10]3 years ago

3 0

Answer:

2.154

Step-by-step explanation:

Convert it to an improper fraction.

Hope this helps :)

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What is the fourth term in the binomial expansion of (2x – y) 7?

nata0808 [166]

Answer:

$(7C4) (2x)^4 (-y)^{7-4}$

And replacing we got:

$35 (2^4) x^4 (-y)^{-3}$

And then the final term would be:

$-560 x^4 y^3$

Step-by-step explanation:

For this case we have the following expression:

$(2x-y)^7$

And we can use the binomial theorem given by:

$(x+y)^n =\sum_{k=0}^n (nCk) x^k y^{n-k}$

And for this case we want to find the fourth term and using the formula we have:

$(7C4) (2x)^4 (-y)^{7-4}$

And replacing we got:

$35 (2^4) x^4 (-y)^{-3}$

And then the final term would be:

$-560 x^4 y^3$

8 0

3 years ago

Solve the logarithmic equation. Round the answers to the nearest hundredth. 6+In x=8

ahrayia [7]

Answer:

7.39 ( nearest hundredth )

Step-by-step explanation:

Using the rule of logarithms

$log_{b}$ = n ⇔ x = $b^{n}$

Note that ln x represents $log_{e}$ x

given 6 + ln x = 8 ( subtract 6 from both sides )

ln x = 2 ⇒ x = $e^{2}$ ≈ 7.39

7 0

3 years ago

When juggling a ball travels in a complete circle every 10 seconds how many circle does it make in a minute.Please Help and expl

WITCHER [35]

Answer:

It make 6 circles in a minute.

Step-by-step explanation:

Given:

a ball travels in a complete circle every 10 seconds

i.e

one complete circle = time taken 10 seconds.

Two complete circle = time taken 20 seconds.

Three complete circle = time taken 30 seconds.

Four complete circle = time taken 40 seconds.

Five complete circle = time taken 50 seconds.

Six complete circle = time taken 60 seconds.

60 seconds = one minute.

∴ Six complete circle in one minute.

8 0

3 years ago

A chef got 7 bags of onions. The red onions came in bags of 8 and the yellow onions came in bags of 3. If the chef got a total o

frutty [35]

Answer:

$\#\text{ of 8-onion bags: }4,\\\#\text{ of 3-onion bags: }3$

Step-by-step explanation:

Let $a$ be the number of bags with 8 onions and let $b$ be the number of bags with 3 onions. We have the following system of equations:

$\begin{cases}a+b=7,\\8a+3b=41\end{cases}$

Subtracting $b$ from both sides of the first equation, we get $a=7-b$ . Substitute this into the second equation:

$8(7-b)+3b=41,\\56-8b+3b=41,\\56-5b=41,\\-5b=-15,\\b=\boxed{3}$

Therefore, the number of 8-onion bags is:

$a=7-b,\\a=7-3,\\a=\boxed{4}$

Thus, the chef got 4 8-onion bags and 3 3-onion bags.

5 0

3 years ago

Change each of the following decimals to a fraction. Reduce your answer to its lowest terms.

cluponka [151]

7/100

3/10

21/125

3/ 2500

7/50

I simplified them for you

8 0

3 years ago