MODELING WITH MATHEMATICS The arch support of a bridge can be modeled by $y=-0.0012x^2$ , where $x$ and $y$ are measured in feet. Find the height and width of the arch.

The arch support of a bridge is parabolic in shape. The parabola is graphed on a coordinate plane. The x-axis is extended from negative 550 to 550, in increments of 50. The y-axis is extended from negative 400 to 75, in increments of 25. The parabola opens downward with the vertex lying at ordered pair 0 comma 0. It is drawn through the points at ordered pair negative 300 comma negative 100 and ordered pair 300 comma negative 100.

The arch is
feet high and
feet wide.

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

the domain of a function is the set of input values, x , for which a function is defined. the domain is shown in the left oval in the picture below. the function provides an output value, f(x) , for each member of the domain.

answer: a

step-by-step explanation: the answer is a due to the rule of symmetry; that a line of symmetry must divide a figure into 2 pieces that are the exact same, only reflected over a line of symmetry. b and c do not have lines of symmetry and would not divide the figure evenly, thus making the answer a.