Answer:
Hi there!
Your answer is;
a)
i) 400% of 240
240 is 100%
× 4
960= 400%
ii) 40% of 240
100% = 240
/100
1% = 2.4
× 40
40% = 96
iii) 4% of 240
100% is 240
/100
1% = 2.4
× 4
4% = 9.6
iv) .04% of 240
100% = 240
/100
1% = 2.4
/100
.01% = .024
× 4
.04% = .096
b) the patterns is that all these numbers equal sometime 96. Each of these have a different decimal place, but have the same actual numbers.
c) 4000% = 240
take the pattern:
400% is 960
Scale it up to 4000 by 10
400% is 960
× 10
4000% is 9600
Hope this helps!
Well you find how much the error was and divide it by the amount he predicted.
30/230= 0.13 0.13=13%
The equation given in the question is
y = 2.54 x
In this equation, x is in cm and y is in inches
Size of the ruler = 1 foot
= 12 inches.
Putting the value of 12 inches in the equation, we get
y = 2.54x
= 2.54 * 12
= 30.48 cm
From the above deduction, we can conclude that the length of the ruler is 30.48 cm. I hope that this is answer that you were looking for and the answer has come to your desired help.
About 92 days are taken for 90 % of the material to <em>decay</em>.
The mass of radioisotopes (
), measured in milligrams, decreases exponentially in time (
), measured in days. The model that represents such decrease is described below:
(1)
Where:
- Initial mass, in milligrams.
- Current mass, in milligrams.
- Time constant, in days.
In addition, the time constant is defined in terms of half-life (
), in days:
(2)
If we know that 
, 
and 
, then the time required for decaying is:
About 92 days are taken for 90 % of the material to <em>decay</em>.
We kindly invite to check this question on half-life: brainly.com/question/24710827
Answer: i) f(-9)= 66
ii) 
.
iii) 
Step-by-step explanation:
The given function : 
.
i) For f(-9) , the independent variable is x= -9.
Put x= -9 in given function , we get
Thus , f(-9)= 66
ii) For f(x+1) , the independent variable is x= x+1.
Replace x by x+1 in given function , we get
.
![[\because\ (a+b)^2=(a^2+b^2+2ab)]](https://tex.z-dn.net/?f=%5B%5Cbecause%5C%20%28a%2Bb%29%5E2%3D%28a%5E2%2Bb%5E2%2B2ab%29%5D)
Thus , .
iii)For f(-x) , the independent variable is x=-x.
Replace x by -x in given function , we get
.
[∵ (+)(-)=(-)]
Thus ,
