Answer:
$69
Step-by-step explanation:
Given the amount of money each girl spent based on the number of hours they were shopping modeled by the function p(x) = 3x4 + 2x3 − 4x2 + 21
To get how much they spend together if each go shopping for 2hours, we will substitute x = 2 into the given function as shown:
p(2) = 3(2)⁴ + 2(2)³ − 4(2)² + 21
p(2) = 3(16) + 2(8) − 4(4) + 21
p(2) = 48 + 16 − 16 + 21
p(2) = 48+21
p(2) = 69
Therefore they spend $69 together
We are given equation g = 748u, where g is the total number of gallons of water used and u is the number of units.
We can see that the number of units of water being used by customers.
The number of units of water doesn't depend on the total number of gallons of water used.
Therefore, the number of units u is an independent variable.
The value of the total number of gallons is totally depends on the number of units used.
Therefore, the total number of gallons of water used g is a dependent variable.
So, we can conclude following statements:
1) g is the dependent variable.
2) u is the independent variable.
The Angle-Side Relationships theorem (or triangle parts relationship theorem) states that<span> if one side of a triangle is longer than another side, then the angle opposite the
longer side will have a greater degree measure than the angle opposite the shorter
side.
The converse to the </span>Angle-Side Relationships theorem (or triangle parts relationship theorem) states that if one angle of a triangle has a greater degree measure than
another angle, then the side opposite the greater angle will be longer than the
side opposite the smaller angle.
Thus, from the proof if AB > AC, then m∠C > m∠B by the <span>converse of the triangle parts relationship theorem</span>.
area for the hexagon = 1/2*p*a
p = perimeter = 18*6=108
a = apothem = 15.59
108*15.59 = 1683.72/2 = 841.86 sq units
Area of rectangle = 18 x 21 = 378
841.86-378 = 463.86 rounded to 464 square units
Answer:
Independent
dependent
Step-by-step explanation:
The scenario illustrates that the weight for people who exercises regularly tends is normal or below normal. It means that the weight of a person depends on how much a person exercises i.e. if person exercises more the weight is reduced and if not then weight will be gained. Thus, exercise is the independent variable while weight is dependent variable.
