<span>If Marta's handler uses a graph to track the number of gallons of formula y the calf drinks in x hours then the relationship between x and y is linear and it is proportional. This is because the formula enables the calf to drink more and grow more.</span>
To calculate volume of cylinder is used the formula v=pi.(r^2).h where h is height now just do a simple equation. 15.7= 2pi.h since r^2 is diameter then 2pih= 15.7 then pass 2pi dividing and we get h = 15.7/2pi that gives approximately 2.49cm
What is the greatest whole number that rounds to the number 277,300? What is the least whole number?
Answer:
y = 9
Step-by-step explanation:
m<1 + 2x = 180° because these angles are supplementary
61° + 2x° = 180°
2x = 180 - 61
2x = 119 divide both sides by 2
x = 59.5
Since f is parallel to s:
2x + (7y-2) = 180°
2×59.5 + 7y - 2 = 180
119 + 7y - 2 = 180
7y = 180 - 117
7y = 63 divide both sides by 7
y = 9
Notice that 6 is a factor of all three coefficients and thus can be factored out:
6x^2 -42x-54 => 6(x^2 - 7x - 9). x^2 - 7x - 9 does not factor so easily. Remembering that obtaining roots of a quadratic makes it easy to write out the corresponding factors, let's apply the quadratic formula to x^2 - 7x - 9:
a=1, b = -7, c = -9. Then the discriminant is b^2 - 4ac, or (-7)^2 - 4(1)(-9), or 85.
Thus, the roots are:
7 plus or minus √85 7 plus or minus 9.220
x = -------------------------------- = ------------------------------------
2 2
Let's call these roots "a" and "b." Then the factors of the quadratic x^2 - 7x - 9 are (x-a) and (x-b), or, in this case, (x-8.11) and (x+1.11).
The original quadratic has three factors: 6, (x-8.11) and (x+1.11).