Answer:
5 seconds
Step-by-step explanation:
Looking at your function (h(t) = -16t^2 + 48t + 160), I see that the peak height will be 196 feet, and that is achieved in 1.5 seconds.
h(1.5) = -16(1.5)^2 + 48(1.5) + 160
h(1.5) = -16(2.25)+ 48(1.5) + 160
h(1.5) = -36 + 48(1.5) + 160
h(1.5) = -36 + 72 + 160
h(1.5) = 36 + 160
h(1.5) = 196
Going down from that height, it would take 3.5 more seconds, so it would take 5 seconds in total
h(5) = -16(5)^2 + 48(5) + 160
h(5) = -16(25) + 48(5) + 160
h(5) = -400 + 48(5) + 160
h(5) = -400 + 240 + 160
h(5) = -400 + 400
h(5) = 0
Answer:
30 students
Step-by-step explanation:
80% of N = 24 where N is the total number of students
So
.80 N = 24
N = 24 / .80 = 30
sorry this was a late response
1.y-4.90 = 2.4(x-1) 2. 24x-10y= -25
Step-by-step explanation:
The point-slope form of an equation is written as ;
y-y₁ = m(x-x₁) where the focus is on the slope of the line and a point on the line.
In this case, y-4.90 = 2.4(x-1)
The standard form an equation is written as :
Ax+By=C ,where x and y are variables and A,B and C are integers.
In this case; 24x-10y= -25
Learn More
Point-slope intercept form of an equation; brainly.com/question/11016508
Keywords :point-slope, standard form, equation
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Answer:
1020 students
Step-by-step explanation:
Given the trend line equation :
y = 0.1x + 18,
where y is the total number of staff members and x is the total number of students.
Using the equation, the predicted number of students in a school with 120 staffs ;
y = 120
y = 0.1x + 18
120 = 0.1x + 18
120 - 18 = 0.1x
102 = 0.1x
x = 102 / 0.1
= 1020 students