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irina [24]
3 years ago
14

The population of a town increased from 3450 in 2006 to 4650 in 2011. Find the absolute and relative (percent) increase.

Mathematics
1 answer:
netineya [11]3 years ago
4 0

Answer:

15% increase per year.

Step-by-step explanation:

5,600 - 3,500 = 2,100

2,100 is what percent of 3,500?

2,100 = X*3,500

X =  2,100 / 3,500

X = .60 or 60%

An average of 15% increase per year.

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Factor 16x^2 + 49. Check your work.
Shtirlitz [24]

Answer:

16x^2+49=(x-\frac{7i}{4})(x+\frac{7i}{4})

Step-by-step explanation:

Given : Expression 16x^2+49

To find : Factor the expression ?

Solution :

The given expression is a quadratic function y=ax^2+bx+c the solution is x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

On comparing with general form,

a=16, b=0, c=49

Substitute in the formula,

x=\frac{-0\pm\sqrt{0^2-4(16)(49)}}{2(16)}              

x=\frac{\pm\sqrt{-3136}}{32}          

x=\frac{\pm56i}{32}      

x=\frac{56i}{32},\frac{-56i}{32}      

x=\frac{7i}{4},\frac{-7i}{4}              

Factors are (x-\frac{7i}{4}),(x+\frac{7i}{4})        

Therefore, 16x^2+49=(x-\frac{7i}{4})(x+\frac{7i}{4})    

4 0
3 years ago
What speed would a plane average on a trip
AleksandrR [38]

Answer:

B) 666.6 miles per hour

Step-by-step explanation:

To solve this question, divide the 4000 miles with the 6 hours to get an answer in units of X miles per hour.

4000 miles/6 hours = 666.6 miles per hour

3 0
3 years ago
The National Aeronautics and Space Administration (NASA) purchased a new solar-powered battery guaranteed to have a failure rate
Reptile [31]

Answer:

The probability that all three batteries would fail is given as:

= 0.000125

Step-by-step explanation:

Given that the probability of the new battery failing = 1/20 or 0.05,

Therefore, the probability that all three batteries would fail is given as:

= Probability of battery A failing * Probability of battery B failing * Probability of battery C failing

= P(A)*P(B)*P(C)

= 0.05 * 0.05 * 0.05

= 0.000125

5 0
3 years ago
A movie was 3 1/2 hours long if Lilly turned of the movie off 1/4 of the way through how much time did she spend watching
Nuetrik [128]

Answer:

7/8 of an hour

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
$\triangle abc$ and $\triangle dbc$ share $bc$. $ab = 5\ \text{cm}$, $ac = 12\ \text{cm}$, $dc = 8\ \text{cm}$, and $bd = 20\ \t
Ratling [72]
What terms govern the length of this side?The basic rule of the triangle.First side length must be less than the sum of the other two sides.So to find X we must take the largest side of the triangles and compare them with amounts from other sides.

5+x>12
8+x>20    and it's system

x>7
x>12
general solution is x>12
<span>The least possible integral is 13.

PS: It's may be </span>yet 12, but in this case, triangle  BCD become segment.
6 0
3 years ago
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