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3 years ago

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Mathematics

1 answer:

Andreas93 [3]3 years ago

4 0

Answer:

7/10 or 0.7

Step-by-step explanation:

-3/2 (1/3 - 4/5)

(-3/2) (1/3 + -4/5)

(-3/2)(1/3) + (-3/2)(-4/5)

-1/2 + 6/5

7/10

I think this PDF should assist you in the property of operations for fractions and also help you in solving future problems.

Download pdf

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Write the expanded form of 24.357 using fractions or decimals

liq [111]

20.000+4.000+0.357+0.05+0.007

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4 years ago

Find the equation to the following graph:

fiasKO [112]

First, what graph is it? It is a rational function.
What is the asymptotes? x=1

Therefore, the function is simply y=1/(x-1)

7 0

3 years ago

I think I have the correct answers but will anyone try to solve these questions so I can see if we got the same answer.

Andre45 [30]

Because you seem to have an understanding of the material, I will write my math, but no explanations for my work. Comment on this answer for an explanation, or if I did something wrong.

1. Find the length of the South side of the field.

$(5x+2)+(x^2-9)+(x^2-7x+12)\\5x+2+x^2-9+x^2-7x+12\\2x^2+5x+2-9-7x+12\\2x^2-2x+2-9+12\\2x^2-2x+5$

2.Find the perimeter of the pumpkin field.

$2(5x+2)+2(5x-2)\\(5x+2)+(5x+2)+(5x-2)+(5x-2)\\20x+4-4\\20x$

3. Find the perimeter of the whole field.

$2(4x+5x-2)+2(5x+2+x^2-9+x^2-7x+12)\\2(9x-2)+2(2x^2-2x-5)\\18x-4+4x^2-4x+10\\4x^2+14x+6$

4. If $x=30ft$ , what is the total perimeter?

$P=4x^2+14x+6\\P=4(30)^2+14(30)+6\\P=4(900)+420+6\\P=1026ft$

Random Tangent:

If you want to involve $y$ in finding these answers for whatever reason, your math is going to get messy. Here's what I tried before I realized you could multiply each side by $2$ to get the total perimeter:

$xy+1+x+6=4x+5x-2\\xy-8x=-9\\x(y-8)=-9\\y-8=-\frac{9}{x}\\y=-\frac{9}{x}+8$

Now the other side. This one's even worse.

$xy-1+6x+x=5x+2+x^2-9+x^2-7x+12\\xy+9x-2x^2=5\\x(y+9+2x)=5\\2x+9+y=\frac{5}{x}\\y=\frac{5}{x}-2x-9$

At this point, was realizing I wasn't going about the problem correctly, but did one last try by setting $y=y$ . At this point in the equation, I simply had to stop, both due to complexity and technological problems.

$\frac{5}{x}-2x-9=-\frac{9}{x}+8\\\frac{14}{x}=2x+17\\ 14=2x^2+17x\\0=2x^2+17x-13\\$

I could possibly continue to solve, but I don't see a point. It was clear that this was NOT the right path to take finding the perimeter. It was here I realized that I could just multiply the two sides without $y$ in them by $2$ and--without as much difficulty--reach the correct answer.

6 0

3 years ago

A 6,000-liter cistern is empty when water begins flowing into it (at t = 0) at a rate (in L/min) given by Q`(t) = 9 √t, wher

lorasvet [3.4K]

Answer:

a) 6,455 L

b) V(t) = (18/3) * t^(1.5)

Step-by-step explanation:

Part a

Integrating the given relation from t = 0 to t= 105 mins

$V = \int {9 * \sqrt{t} } \, dt\\V = {\frac{9*2}{3}*t^(1.5) = \frac{18}{3}*t^(1.5)\\\\V = \frac{18}{3}*105^(1.5)\\\\\\V = 6,455L$

Part b

$V(t) = \frac{18}{3} * t^(1.5) + C\\Since V = 0 @ t = 0 ; hence, C = 0\\\\V(t) = \frac{18}{3} * t^(1.5)$

6 0

3 years ago

three neon lights are turnd on at the same time one blinks every 5 second the second every 12 and the third every 6 seconds in 5

mylen [45]

Answer:

5 times

Step-by-step explanation:

If we have to determine the number of times the lights will blink at the same time, we have to find Least common multiple (L.C.M) of 5, 12, and 6 seconds.

5 = 1 x 5

12 = 1 x 2 x 2 x 3

6 = 1 x 2 x 3

The L.C.M of 5, 6, and 12 is = 2 x 2 x 3 x 5 = 60

The three lights will be turned on after 60 seconds or 1 minute.

The lights will be turned on in 1 minute 1 time

The lights will be turned on in 5 minutes (1*5) times = 5 times

6 0

3 years ago