This equation should be written h(t) = -16t^2 + 129t. After 4 sec, the height of this object is
h(4) = -16(4)^2 + 129(4) = -256 + 516 = 260 feet.
Answer:
The range in shelter A is 22, and the range in shelter B is 18.
Step-by-step explanation:
Okay so basically, the range is the difference between the smallest number and the greatest number.
The smallest weight for shelter a is 8. The largest weight is 30.
30-8= 22.
Same thing for the other shelter. The smallest weight is 10, and the largest weight is 28. 28-10= 18.
Answer:
Step-by-step explanation:
<u>Simplify, rationalize the denominator</u>
- √2/(3 + √5) =
- √2(3 - √5)/(3 + √5) (3 - √5) =
- (3√2 - √10)/(3² - 5) =
- (3√2 - √10)/4
4x-35=9x
-4x
-35=5x
divide by 5
x= -7
Answer:
125a^3 + 300a^2b + 240ab^2 + 64b^3
Step-by-step explanation:
The volume of a cube is the cube of the side length.
V = s^3
Here, the side length of the cube is 5a + 4b, so we cube 5a + 4b.
V = (5a + 4b)^3
V = (5a + 4b)(5a + 4b)(5a + 4b)
V = (25a^2 + 20ab + 20ab + 16b^2)(5a + 4b)
V = (25a^2 + 40ab + 16b^2)(5a + 4b)
V = 125a^3 + 100a^2b + 200a^2b + 160ab^2 + 80ab^2 + 64b^3
V = 125a^3 + 300a^2b + 240ab^2 + 64b^3
