The answer is d. because the equation goes in a line and linear equations have ALWAYS have a constant speed rate.
Hope this helped☺☺
Answer:
28.
Step-by-step explanation:
A = bh = 8 · 3.5 = 28
Answer:
a. 38.19m/s
b. 38.605m/s
c. 38.937m/s
d. 39.0117m/s
e. 39.01917m/s
Step-by-step explanation:
The average velocity is defined as the relationship between the displacement that a body made and the total time it took to perform it. Mathematically is given by the next formula:
![v_a_v_g = \frac{\Delta x}{\Delta t} =\frac{x_f-x_i}{t_f-t_i}](https://tex.z-dn.net/?f=v_a_v_g%20%3D%20%5Cfrac%7B%5CDelta%20x%7D%7B%5CDelta%20t%7D%20%3D%5Cfrac%7Bx_f-x_i%7D%7Bt_f-t_i%7D)
Where:
![x_f=Final\hspace{3}distance\hspace{3}traveled\\x_i=Initial\hspace{3}distance\hspace{3}traveled\\t_f=Final\hspace{3}time\hspace{3}interval\\t_i=Initial\hspace{3}time\hspace{3}interval](https://tex.z-dn.net/?f=x_f%3DFinal%5Chspace%7B3%7Ddistance%5Chspace%7B3%7Dtraveled%5C%5Cx_i%3DInitial%5Chspace%7B3%7Ddistance%5Chspace%7B3%7Dtraveled%5C%5Ct_f%3DFinal%5Chspace%7B3%7Dtime%5Chspace%7B3%7Dinterval%5C%5Ct_i%3DInitial%5Chspace%7B3%7Dtime%5Chspace%7B3%7Dinterval)
a. Let's find h(3) and h(4) using the data provided by the problem:
![h(3)=44(3)-0.83(3^2)=124.53=x_i\\h(4)=44(4)-0.83(4^2)=162.72=x_f](https://tex.z-dn.net/?f=h%283%29%3D44%283%29-0.83%283%5E2%29%3D124.53%3Dx_i%5C%5Ch%284%29%3D44%284%29-0.83%284%5E2%29%3D162.72%3Dx_f)
The average velocity over the interval [3, 4] is :
![v_a_v_g=\frac{162.72-124.53}{4-3} =38.19m/s](https://tex.z-dn.net/?f=v_a_v_g%3D%5Cfrac%7B162.72-124.53%7D%7B4-3%7D%20%3D38.19m%2Fs)
b. Let's find h(3.5) using the data provided by the problem:
![h(3.5)=44(3.5)-0.83(3.5^2)=143.8325=x_f](https://tex.z-dn.net/?f=h%283.5%29%3D44%283.5%29-0.83%283.5%5E2%29%3D143.8325%3Dx_f)
The average velocity over the interval [3, 3.5] is :
![v_a_v_g=\frac{143.8325-124.53}{3.5-3} =38.605m/s](https://tex.z-dn.net/?f=v_a_v_g%3D%5Cfrac%7B143.8325-124.53%7D%7B3.5-3%7D%20%3D38.605m%2Fs)
c. Let's find h(3.1) using the data provided by the problem:
![h(3.1)=44(3.1)-0.83(3.1^2)=128.4237=x_f](https://tex.z-dn.net/?f=h%283.1%29%3D44%283.1%29-0.83%283.1%5E2%29%3D128.4237%3Dx_f)
The average velocity over the interval [3, 3.1] is :
![v_a_v_g=\frac{128.4237-124.53}{3.1-3} =38.937m/s](https://tex.z-dn.net/?f=v_a_v_g%3D%5Cfrac%7B128.4237-124.53%7D%7B3.1-3%7D%20%3D38.937m%2Fs)
d. Let's find h(3.01) using the data provided by the problem:
![h(3.1)=44(3.01)-0.83(3.01^2)=124.920117=x_f](https://tex.z-dn.net/?f=h%283.1%29%3D44%283.01%29-0.83%283.01%5E2%29%3D124.920117%3Dx_f)
The average velocity over the interval [3, 3.01] is :
![v_a_v_g=\frac{124.920117-124.53}{3.01-3} =39.0117m/s](https://tex.z-dn.net/?f=v_a_v_g%3D%5Cfrac%7B124.920117-124.53%7D%7B3.01-3%7D%20%3D39.0117m%2Fs)
e. Let's find h(3.001) using the data provided by the problem:
![h(3.001)=44(3.001)-0.83(3.001^2)=124.5690192=x_f](https://tex.z-dn.net/?f=h%283.001%29%3D44%283.001%29-0.83%283.001%5E2%29%3D124.5690192%3Dx_f)
![v_a_v_g=\frac{124.5690192-124.53}{3.001-3} =39.01917m/s](https://tex.z-dn.net/?f=v_a_v_g%3D%5Cfrac%7B124.5690192-124.53%7D%7B3.001-3%7D%20%3D39.01917m%2Fs)
She had 80 dollars at first.80/80 equals to 8/8 and that equals to 64 dollars. 5/8 equals to 45
Answer: examples are floods, hurricanes, tornadoes, volcanic eruptions, earthquakes, tsunamis, storms, and other geologic processes.
Step-by-step explanation: