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Korolek [52]
3 years ago
15

I need to find the sum of this equation

Mathematics
1 answer:
Tresset [83]3 years ago
4 0

Answer:

\large\boxed{\dfrac{3s^2+19s-4}{(s-1)^2(s+5)}=\dfrac{3s^2+19s-4}{s^3+3s^2-9s+5}}

Step-by-step explanation:

s^2-2s+1=s^2-s-s+1=s(s-1)-1(s-1)=(s-1)(s-1)=(s-1)^2\\\\s^2+4s-5=s^2+5s-s-5=s(s+5)-1(s+5)=(s+5)(s-1)\\\\\text{Therefore}\ LCD\ \text{is}\ (s-1)^2(s+5).

\dfrac{3s}{s^2-2s+1}+\dfrac{4}{s^2+4s-5}=\dfrac{3s(s+5)}{(s-1)^2(s+5)}+\dfrac{4(s-1)}{(s-1)^2(s+5)}\\\\\text{use the distributive property}\\\\=\dfrac{(3s)(s)+(3s)(5)+(4)(s)+(4)(-1)}{(s-1)^2+(s+5)}=\dfrac{3s^2+15s+4s-4}{(s-1)^2(s+5)}\\\\=\dfrac{3s^2+19s-4}{(s-1)^2(s+5)}

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Please Help this is the only one i dont know!!
Stella [2.4K]

Answer:

\large\boxed{x=\dfrac{23}{33}}

Step-by-step explanation:

\text{Let}\ x=0.\overline{69}\\\\x=0.696969...\qquad\text{multiply both sides by 100}\\\\100x=69.696969...\qquad\text{subtract}\ x\ \text{from}\ 100x:\\\\100x-x=69.696969...-0.696969...\\\\99x=69\qquad\text{divide both sides by 99}\\\\x=\dfrac{69}{99}\\\\x=\dfrac{23}{33}

7 0
3 years ago
Angela decides to recycle a large oatmeal container by using it to hold a friends birthday gift. Then she wraps the container in
Deffense [45]

Answer:

D. 135.37 in²

Step-by-step explanation:

We have that the gift paper consists of two circles and a square.

Thus, we will need to find the area of the circles and the square.

Now, as the diameter of the circle = 4 inches

So, the radius of the circle = \frac{4}{2} = 2 inches

Since, the area of a circle = \pi r^{2}

This implies that area of the two circles = 2\times \pi r^{2}

i.e. Area of the circles =  2\times \pi 2^{2}

i.e. Area of the circles =  8\pi

i.e. Area of the two circles = 25.133 in²

Further, one side of the square = 10.5 inches

Thus, the area of the square = side^{2}

i.e. Area of the square = 10.5^{2}

i.e. Area of the square = 110.25 in²

So, the overall area of the gift paper = 25.133 + 110.25 = 135.37 in².

Hence, the amount of paper used by Angela is 135.37 in².

7 0
3 years ago
The data set represents the ages of students, in years, attending a robotics club meeting. What is the median age of the student
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Answer:

12.5

Step-by-step explanation:

put them in order from least to greatest: 11, 11, 12, 12, 12, 13, 13, 14, 15, 16

the middle is 12 and 13 so you do 12+13 then divide by 2

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hope this helps

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Answer:

C

Step-by-step explanation:

<em>B: 2X + 12 > 3</em>

2x > -9

x> -9/2

<em>C: 2X - 5 > 7</em>

2x > 12

x > 6

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2x > 30

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