An arrow is shot vertically upward at a rate of 170 feet per second from ground level.

*look at photo attached for the complete

t1= 1.1475 sec

t2=9.48 sec

Step-by-step explanation:

This question asking for the time when an object reach a specific height. I will explain what the formula stand for to make this easier.

h= height = 174feet

v0= initial velocity = 170 feet/s

t= time

h0= initial height= ground level = 0

The question have predetermined formula for the height, so we should use it instead of formula that involve gravity value.

h= -16 +v0t + h0t

174 feet = -16 + 170 feet/s x t + 0 x t

-16 + 170 feet/s x t  - 174 feet = 0

8 - 85 feet/s x t  + 87 feet = 0

This equation will be hard to solve since its value in fraction, so lets use the quadratic formula

t1=

t1= 1.1475

t2=

t2=9.48

boxplot e is the answer

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.