About the size of New Jersey, Israel has seen its population sour to more than 6 million since it was established. The graphs show that by 2050, Palestinians in the West Bank, Gaza Strip, anti East Jerusalem will outnumber Israelis. Exercises 7-8 involve the projected growth of these two populations. a. In 2000, the population or the Palestinians in the West Bank, Gaza Strip, and East Jerusalem was approximately 3.2 million and by 2050 it is projected to grow to 12 million. Use the exponential growth model A = A 0 e h t , in which t is the number of years after 2000, to find the exponential growth function that models the data. b. In which year will the Palestinian population be 9 million?
About the size of New Jersey, Israel has seen its population sour to more than 6 million since it was established. The graphs show that by 2050, Palestinians in the West Bank, Gaza Strip, anti East Jerusalem will outnumber Israelis. Exercises 7-8 involve the projected growth of these two populations. a. In 2000, the population or the Palestinians in the West Bank, Gaza Strip, and East Jerusalem was approximately 3.2 million and by 2050 it is projected to grow to 12 million. Use the exponential growth model A = A 0 e h t , in which t is the number of years after 2000, to find the exponential growth function that models the data. b. In which year will the Palestinian population be 9 million?
Solution Summary: The author calculates the exponential growth model to function the growth of population of Palestinians.
About the size of New Jersey, Israel has seen its population sour to more than 6 million since it was established. The graphs show that by 2050, Palestinians in the West Bank, Gaza Strip, anti East Jerusalem will outnumber Israelis. Exercises 7-8 involve the projected growth of these two populations.
a. In 2000, the population or the Palestinians in the West Bank, Gaza Strip, and East Jerusalem was approximately 3.2 million and by 2050 it is projected to grow to 12 million. Use the exponential growth model
A
=
A
0
e
h
t
, in which t is the number of years after 2000, to find the exponential growth function that models the data.
b. In which year will the Palestinian population be 9 million?
An airplane flies due west at an airspeed of 428 mph. The wind blows in the direction of 41° south of west
at 50 mph. What is the ground speed of the airplane? What is the bearing of the airplane?
428 mph
41°
50 mph
a. The ground speed of the airplane is
b. The bearing of the airplane is
mph.
south of west.
Rylee's car is stuck in the mud. Roman and Shanice come along in a truck to help pull her out. They attach
one end of a tow strap to the front of the car and the other end to the truck's trailer hitch, and the truck
starts to pull. Meanwhile, Roman and Shanice get behind the car and push. The truck generates a
horizontal force of 377 lb on the car. Roman and Shanice are pushing at a slight upward angle and generate
a force of 119 lb on the car. These forces can be represented by vectors, as shown in the figure below. The
angle between these vectors is 20.2°. Find the resultant force (the vector sum), then give its magnitude
and its direction angle from the positive x-axis.
119 lb
20.2°
377 lb
a. The resultant force is
(Tip: omit degree notations from your answers; e.g. enter cos(45) instead of cos(45°))
b. It's magnitude is
lb.
c. It's angle from the positive x-axis is
Find a plane containing the point (3, -3, 1) and the line of intersection of the planes 2x + 3y - 3z = 14
and -3x - y + z = −21.
The equation of the plane is:
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