Answer:
$8.2225
Step-by-step explanation:
100% - 45% = 55%
then divide 55 by 100 to get .55
lastly multiply .55 to 14.95 to get 8.2225
answer:
Step-by-step explanation:
On this question we see that we are given two points on a certain graph that has a maximum point at 57 feet and in 0.76 seconds after it is thrown, we know can say this point is a turning point of a graph of the rock that is thrown as we are told that the function f determines the rocks height above the road (in feet) in terms of the number of seconds t since the rock was thrown therefore this turning point coordinate can be written as (0.76, 57) as we are told the height represents y and x is represented by time in seconds. We are further given another point on the graph where the height is now 0 feet on the road then at this point its after 3.15 seconds in which the rock is thrown in therefore this coordinate is (3.15,0).
now we know if a rock is thrown it moves in a shape of a parabola which we see this equation is quadratic. Now we will use the turning point equation for a quadratic equation to get a equation for the height which the format is , where (p,q) is the turning point. now we substitute the turning point
, now we will substitute the other point on the graph or on the function that we found which is (3.15, 0) then solve for a.
0 = a(3.15 - 0.76)^2 + 57
-57 =a(2.39)^2
-57 = a(5.7121)
-57/5.7121 =a
-9.9788169 = a then we substitute a to get the quadratic equation therefore f is
Step-by-step explanation:
the angle ABC = 180 - x, as ABD and ABC are complementary angles on top of the bottom line : all angles around a point on one side of a line are always adding up to 180 degrees.
but because we also know that the sum of all angles in a triangle is 180 degrees too, we can say
180 = ACB + ABC + CAB
180 = y + 180 - x + CAB
0 = y - x + CAB
x = y + CAB
x - y = CAB
therefore, the second answer option is correct.
Answer:
Step-by-step explanation:
log(7)6+log(7)2^3
log(7)6+log(7)8
log(7)(8*6)
log(7)48 = > D is the correct answer.
The factors of 56: 1; 2; 4; 7; 8; 14; 28; 56
The factors of 84: 1; 2; 3; 4; 6; 14; 28; 42; 84
GCF(56; 84) = 28