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katrin2010 [14]
3 years ago
14

In a small town the stray dog is rapidly increasing there are currently 15 stray dogs,and is estimated that the population will

triple every year
Mathematics
1 answer:
max2010maxim [7]3 years ago
5 0
If there are 15 stray dogs the first year, and it is estimated that the population will triple every year, the first year you will have 15 stray dogs, 2nd year you will have 45 because you are multiplying 15 by 3. The 3rd year you will have 135 dogs because you are multiplying 45 by 3. And so on
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onsider the following problem: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutti
Sholpan [36]

Answer:

V (max)  = 2 ft³

and x side of the base is  x  =  0,5 feet

Step-by-step explanation:  See annex ( two different cubes)

We have a square piece of cardboard of  3 inches wide

Let  x be lenght of side to cut in each corner

Then the base of the (future cube) is    3  -  2x,  and the area is  

( 3 - 2x )²

And  the height   is x  Then volume of the cube as a function of x is:

V(x)  =  ( 3 - 2x )² *x   or       V(x)  =    ( 9 + 4x² - 12x )*x

V(x)  =  4x³  -  12x²  + 9x

Taking derivatives on both sides of the equation

V´(x)  =  12x² - 24x  + 9

V´(x)  =  0       12x² - 24x  + 9  =  0   simplifying   4x² - 8x  + 3  =  0

Second degree equation solving for x

x₁,₂ =  [ 24 ± √( 576) - 432  /24

x₁,₂ =  [24 ±√144 ]/24

x₁,₂ = ( 24 ± 12) /24         x₁  =  1.5 feet        x₂  = 0,5 feet

Of these two values we have to dismiss x₁  because if  x = 1.5 we don´t have a cube ( 0 height )

Then we take x  = 0,5  feet

And

V (max)  =  (2)²*0,5   =  4*0,5

V (max)  = 2 ft³

5 0
4 years ago
A food truck owner randomly samples 100 customers on two separate days to see what food items they bought. The data shows the re
svetlana [45]
Percentage of people who buy Burgers = 35+45/2 = 80/2 = 40

Total Number of people = 900

So, 900 * 40%

= 900 * 0.40

= 360

In short, Your Answer would be: 360 burgers

Hope this helps!
6 0
3 years ago
Read 2 more answers
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Stels [109]
I would say B to your answer. # ask my brother in high school
~JZ
8 0
3 years ago
What is 33/31 in the simplest form​
kolezko [41]

Answer:

1 2/31

Step-by-step explanation:

6 0
3 years ago
In a company, 37% of 1500 employees are females.work out the number of males in the company.
a_sh-v [17]
Formula:

y = p\% \times x
p = 37\% \div 100 = 0.37
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so there are 555 woman working.
1500 - 555 = 945
there are 945 men working

6 0
4 years ago
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