Let
x-----------> <span>uniform width surrounding the picture
we know that
(10+2x)*(12+2x)=224-----> 120+20x+24x+4x</span>²=224
4x²+44x+120-224=0
4x²+44x-104=0
using a graph tool-----> to resolve the second order equation
see the attached figure
the solution is
x=2 in
the answer is2 inches
Step-by-step explanation:
Here is your answer
http://www.lasesp.com/article/16336607434947849/Surprise_Gift
Answer: Growth factor will be 0.15 and percent increase will be 15%.
Step-by-step explanation:
Since we have given that
the exponential growth function

1) We need to find the growth factor :
As we know the formula for "Compound Interest ":

If we compare the formula with our given equation, we get

So, the growth factor is at the rate of 0.15.
2) Percent increase will be

Hence, growth factor will be 0.15 and percent increase will be 15%.
Answer:
a) M =82
Step-by-step explanation:
Let´s study this as a Normal distribution.
As we know in a normal distribution the z score is = (X-μ)/(sd/sqrt(n))
where
X = mean for the taken sample = What we want to know in this problem
μ = Total population mean =80
sd= standard deviation= 12
n = sample size=9
So in this case z=( X-80)/(12/sqr(9))= (X-80)/4
also we know that the effect size taken by the machine is 0.5, which is the same as the z-score
so...
0.5 = (X-80)/4 => 0.5*4 = X-80
2+80 = X
X = 82
A geometric shapes that can be used to create a logo that will fit in a measuring 15 cm by 15 cm is to use a square.
<h3>What are geometric shapes?</h3>
It should be noted that geometric shapes are the figure of area that is closed by a boundary.
In this case, a geometric shapes that. an be used to create a logo that will fit in a measuring 15 cm by 15 cm is to use a square.
This is because all the sides in a square are equal.
Learn more about shapes on:
brainly.com/question/25965491
#SPJ1