Answer:
7/4 inches
Step-by-step explanation:
Longest bean sprout = 8/8 + 8/8
Longest bean sprout = 1 + 1
Longest bean sprout = 2
Shortest bean sprout = 2/8
Difference = 2 - 2/8
Difference = (16-2)/8
Difference = 14/8
Difference = 7/4
Hence the distance is 7/4 inches
Answer: independent variables cause the effect measured in the dependent variables
Step-by-step explanation: In a causal - comparative study, the dependent variables refers to the variable whose changes is being measured or observed. The changes or alteration of the dependent variable is induced by the different values of the independent variable. In causal - comparative study, the different independent variables is assumed to have a direct impact on the output or values of the dependent variable which is measured by the experimenter. Therefore, the independent variable does not change, but causes the observed changes noticed in the dependent variable.
Answer:x=12 and 68$
Step-by-step explanation:
Step-by-step explanation:
It is given that, a mouse covered a distance of 3/24 miles over a distance of 3 hours. Each hour, the mouse traveled the same distance. Distance traveled in 1 hour can be calculated by dividing 3/24 miles by 3. So,
Matt calculations shows that the distance is 3/8 hours. While dividing 3/24 by 3, he doesn't take reciprocal of 3 as a result he get 9 on numerator and 24 on denominator. Simplified fraction of 9/24 is 3/8. But the correct answer should be 1/24 hours.
a+b+c=0
[(a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc]
[a^2+b^2+c^2+2ab+2ac+2bc=0]
[a^2+b^2+c^2=-(2ab+2ac+2bc)]
[a^2+b^2+c^2=-2(ab+ac+bc)] (i)
also
[a=-b-c]
[a^2=-ab-ac] (ii)
[-c=a+b]
[-bc=ab+b^2] (iii)
adding (ii) and (iii) ,we have
[a^2-bc=b^2-ac] (iv)
devide (i) by (iv)
[(a^2+b^2+c^2)/(a^2-bc)=(-2(ab+bc+ca))/(b^2-ac)]
