The variable “x” can be defined as the price of regular gas.
The equation is x = x - (.02)7
x = x - (.02)7
(.02)7 = .14
x = x - .14
X - X = nothing so it just leaves you with -.14
The answer is that the gas price changed by a total of - 14 cents or -0.14
Line M with slope 6 is neither, line n with slope -6 is parallel because only lines with same slope are parallel, line p with slope 1/6 is neither. and line q with slope -1/6 is perpendicular because only the reciprocal of a slope is perpendicular, so reciprocal of 6= 1/6 reciprocal of -6=-1/6 reciprocal of 2= 1/2
Answer:
b, c, d and f since they have a sign of greater> or less to> or greater and less to
Answer:
a. Qualitative.
b. Qualitative.
c. Quantitative.
d. Quantitative.
e. Qualitative.
Step-by-step explanation:
a.
Favorite color can be classified into different categories such as blue,orange, white etc, so, favorite color is a qualitative variable.
b.
Current Occupation can be classified into different categories such as teacher, lawyer and doctor etc, so, current occupation is a qualitative variable.
c.
Number of extra credit problems solved can be meaningfully presented as numerical figures so, number of extra credit problems solved is a quantitative variable.
d.
Number of students in class can be meaningfully presented as numerical figures so, number of of students in our class is a quantitative variable.
e.
Exam Grades can be classified into different categories such as A, B and C etc, so, exam grades is a qualitative variable.
Step-by-step explanation:
this creates a right-angled triangle.
the right angle (90°) being the angle between flag pole and ground.
the angle ground-wire is 50°.
because we know that the sum of all angles in a triangle is always 180°, we know then that the angle flagpole-wire is
180 - 90 - 50 = 40°
so, we have the situation to know 1 side and all angles.
to get the other sides we use best the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
where the sides and related angles are always opposite of each other.
in our case now we have
24/sin(50) = wire/sin(90) = wire/1 = wire = 31.32977494... ft
so, the rounded answer is that the wire must be
31.3 ft long
