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3 years ago

14

A rectangular box has a volume x^3-64 cubic inches. If the height of the box x-4 inches, what is the area of the base of the box

, in square inches ?

1 answer:

Zanzabum3 years ago

8 0

Answer:

$\purple{ \bold{ \therefore \: A_{base} = {x}^{2} + 4x + 16}}$

Step-by-step explanation:

$\because \: V_{box} = A_{base} \times height \\ \\ \therefore \: A_{base} = \frac{V_{box}}{height} \\ \\ \therefore \: A_{base} = \frac{ {x}^{3} - 64}{(x - 4)} \\ \\ \therefore \: A_{base} = \frac{ {x}^{3} - {4}^{3} }{(x - 4)} \\ \\ \therefore \: A_{base} = \frac{ \cancel{ ({x} - {4})}( {x}^{2} + 4x + {4}^{2} )}{\cancel{ ({x} - {4})}} \\ \\ \purple{ \bold{ \therefore \: A_{base} = {x}^{2} + 4x + 16}}$

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A line includes the points (4,1) and (8, 2). What is its equation in slope-intercept form?

Alisiya [41]

Answer:

$y = \frac{1}{4} x$

Step-by-step explanation:

1) First, find the slope of the equation. Use the slope formula $m= \frac{y_2-y_1}{x_2-x_1}$ . Substitute the x and y values of the given points into the formula and solve:

$m = \frac{(2)-(1)}{(8)-(4)} \\m = \frac{2-1}{8-4}\\m = \frac{1}{4}$

Thus, the slope is $\frac{1}{4}$ .

2) Now, use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation in point-slope form (from there we can convert it to slope-intercept). Substitute values for $m$ , $x_1$ , and $y_1$ .

Since $m$ represents the slope, substitute $\frac{1}{4}$ for it. Since $x_1$ and $y_1$ represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, the end result will be the same) and substitute its x and y values into the formula as well. (I chose (4,1), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the answer.

$y-(1) = \frac{1}{4} (x-4)\\y-1 = \frac{1}{4} x-1\\y = \frac{1}{4} x+0\\y=\frac{1}{4}x$

5 0

3 years ago

What ratio forms a proportion with 14/42?<br> A. 1/4<br> B. 7/21<br> C. 12/40<br> D. 28/80

koban [17]

Hey there!

"What ratio forms a proportion with $\frac{14}{42}$ ?"

- $\frac{14}{45} =0.56$ (for the decimal)

$A) \frac{1}{4}$ $=0.25$ $(incorrect)$
$B) \frac{7}{21}$ $=0.33$ $(Incorrect)$
$C) \frac{12}{40}$ $0.3$ $(incorrect)$
$D) \frac{28}{80}$ $0.7$ $(incorrect)$

But in order for you to solve this particular equation you'd have to go in with two (like multiplying by two)

$1\times2= 2$ ; $4\times2 = 8$ $(incorrect)$
$7\times 2= 14$ ; $21\times2 = 42$ $(correct)$
$12 \times2 = 24$ ; $40\times 2 = 80$ $(incorrect)$
$2 \times 28 = 56$ ; $2\times 80 = 160$ $(incorrect)$

Your result: $\boxed{Answer: B. \frac{7}{21} }$

Good luck on your assignment and enjoy your day!

~ $\bold{LoveYourselfFirst:) }$

3 0

3 years ago

2. Sally is eating a bag of M&M's. 12 were green, 16 were brown, 8 were

MariettaO [177]

Answer:

60%

Step-by-step explanation: 12+16+8+4 is equal to 40. 40 minus the number of brown m&ms is 24 .24/40 as a percentage is 60%. Hope this helps!!!

3 0

3 years ago

Someone pls help me out thanks

Jobisdone [24]

Answer:

C(7,-8)

R= 8

The general formula of a circle = (x-a)+(y-b)=r²

5 0

3 years ago

Plsss anyone help mee

attashe74 [19]

I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.

3 0

2 years ago