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3 years ago

Please help! Will give brainiest!! Apply the distributive property to factor out the greatest common factor. 24+28=

Mathematics

1 answer:

alukav5142 [94]3 years ago

5 0

✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧

Hello!

✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧

❖ The GCF between 24 and 28 would be 4. To show this in distributive property, you would write it like this:

4(6+7)

24/4 is 6 and 28/4 is 7 so those are the two values you would put in parentheses.

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

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Given f(x)=arctan(2x), find f’(x) in simplest form

Lostsunrise [7]

Answer:

Step-by-step explanation:

$f(x)=tan^{-1} 2x\\let f(x)=y\\y=tan^{-1}2x\\tan y=2x\\diff. w.r.t.x\\sec^2y(\frac{dy}{dx} )=2\\\frac{dy}{dx} =\frac{2}{sec^2 y} =\frac{2}{1+tan^2y} =\frac{2}{1+(2x)^2} \\f'(x)=\frac{2}{1+4x^2}$

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3 years ago

On a field trip, there are 8 adults and 24 students. What is the ratio of students to the total number of people on the field tr

miss Akunina [59]

8 to 24
1 to 4
32 to 24
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3 years ago

Read 2 more answers

Please i need help!!!

Aloiza [94]

Answer:

a. 2,112

b. 64

Step-by-step explanation:

a. Using the explanation in B, let's find every term and add them.

Work:

96, 94, 92, 90, 88, 86, 84, 82, 80, 78, 76, 74, 72, 70, 68, 66, 64, 62, 60, 58, 56, 54, 52, 50, 48, 46, 44, 42, 40, 38, 36, 34, 32.

32 is the 34th term, the last row.

Add:

2,112 books is your answer.

b.The following is a sequence, meaning that there's a repeated change for every number.

This change is: -2

We're asked to find the 17th term.

Work:

96, 94, 92, 90, 88, 86, 84, 82, 80, 78, 76, 74, 72, 70, 68, 66, 64.

64 is the amount of books on the 17th row.

*64 is the 17th term.

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3 years ago

A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 64 ft3. what dimensions y

Doss [256]

To solve this problem you must apply the proccedure shown below:

1. You must use the formula for calculate the surface area and the volume of the tank:

$1) SA=x^{2} +4xy\\ 2) V=x^{2} y\\ 64=x^{2} y$

2. Solve for $y$ in the second equation and substitute it into the first one.Then, you have:

$y=\frac{64}{x^{2}} \\ SA=x^{2} +4x(\frac{64}{x^{2}})$

3. Now, derivate:

$SA'=2x-256x^{-2} \\ 2x-256x^{-2}=0$

4. When you solve for $x$ , you obtain:

$2x^{3}-256=0\\ x=\sqrt[3]{\frac{256}{2}} \\ x=5.03$

5. Now, you must calculate $y$ :

$y=\frac{64}{(5.03)^{2}} \\ y=2.52$

Therefore, the dimensions are:

The sides of the base of the tank: $5.03 feet$

The height of the tank: $2.52 feet$

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3 years ago

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blondinia [14]

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3 years ago