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Sunny_sXe [5.5K]
3 years ago
14

Solve each equation. If exact roots cannot be found, state the consecutive integers between which the roots are located.

Mathematics
1 answer:
vodomira [7]3 years ago
3 0

Answer:

x=2

Step-by-step explanation:

x^2+10x+24=0

12x=24=0

12x=24

x=2

My math is rusty so this may not be the right answer.

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A water pump is filling up a tank in the shape of an inverted cone. The top of the cone has a diameter of 12 meters, and the con
olga_2 [115]

Answer:

  20/(9π) m/min ≈ 0.707 m/min

Step-by-step explanation:

The rate of change of height is the rate of change of volume divided by the surface area. Of course, the surface area is given by πr², where r = d/2 = 3 m.

  dh/dt = (dV/dt)/A = (20 m³/min)/(π(3 m²))

  dh/dt = 20/(9π) m/min ≈ 0.707 m/min

5 0
3 years ago
* Some amount of billiard balls were arranged in an equilateral triangle. And 5 balls were extra. When the same set of billiard
Agata [3.3K]

Lets say billiard balls are arranged in rows to form an equilateral triangle, then the first row consists of 1 ball, second row consists of 2 balls, and third row consists of 3 balls,  and so on. So there must be n balls in the n^{th} row.  

So, the total number of balls that forms the equilateral triangle with n rows is:  

1+2+3+4+5+....+n=\frac{n(n+1)}{2}

Let x_1 and x_2 be the total number of balls in the first and second arrangements respectively.  

Then,

x_1=\frac{n(n+1)}{2} +5

It has been said that there were 11 lesser balls in the second arrangement:  

x_2=\frac{1+(n+1)}{2} \times (n+1)-11=(n+1) \times \frac{(n+2)}{2} -11

Since, x_1=x_2

\frac{(n+1)}{2} \times n+5=\frac{(n+2)}{2} \times(n+1)-11

multiplying both the sides by 2

(n+1)\times n+10=(n+2)(n+1)-22

n+n^2=n^2+n+2n+2-22-10

2n=22+10-2

2n=30

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Therefore,

x_1=\frac{(n+1)}{2}\times n+5=\frac{15+1}{2}  \times 15+5=125

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4 0
3 years ago
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Dmitrij [34]
48 markers/ 6 boxes= 8 markers in each box
7 0
3 years ago
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一XC5x+2)<br> What’s the answer
STatiana [176]
The correct answer is 2
5 0
4 years ago
Solve using Quadratic Formula: 5x^2-5x-16=x^2-5 in the format Q+the square root of R divided by s
Gwar [14]

Answer:

x=\frac{5±201}{8}

Step-by-step explanation:

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7 0
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