Answer:
0 3/4
Step-by-step explanation:
Answer:
1.2
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. 3.8 x 10^5 + 5.5 x 10^5 = 930,000 or 9.3 x 10^5
You just have to solve the equation and shorten the answer. For number one the answer is 930,000, so you have to make it into a number with decimals since a scientific notation number can not be equal to 10 or be greater. So you have to round the number to 9.3 not 93. To "round" it to 9.3 you have to move the decimal at the end of 930,000 to be in between the numbers 9 and 3. How many times you move the decimal to the left or right, that is the exponent of 10. So for 930,000 you moved the decimal 5 times to the left so the exponent for 10 is positive 5.
Answer:
- <u>f(t) = -7.561(t + 1.15)(t - 2.53)</u>
Explanation:
The<em> hint </em>is that the function f can be written in the form:
- f(t) = c (t - t₁) (t - t₂)
It is a quadratic function, i.e. a parabola.
The maximum point, maximum height, of a parabola is its vertex.
And the x-coordinate of the vertex is at the midpoint between the two x-intercepts.
The time when the rock reaches the road is one x-intercept: t = 2.53 seconds: (2.53, 0).
The other x-intercept is sucht that (x + 2.53) / 2 = 0.69
- (x + 2.53) / 2 = 0.69
- x + 2.53 = 1.38
- x = 1.38 - 2.53
- x = -1.15
Thus, the equation is:
- f(t) = c(t + 1.15) (t - 2.53).
You can find c by doing t = 0, because at t = 0 the height, f(t), is 22 feet:
- f(0) = 22 = c (0 +1.15)(0 - 2.53)
- 22 = c(1.15)(-2.53)
- 22 = c (-2.9095)
- c = - 22/(2.9095)
- c = - 7.561
Then, the function can be written as:
- f(t) = -7.561(t + 1.15) (t - 2.53) ← answer
Answer:
$1.13
Step-by-step explanation:
x/11.31 = 10/100 (cross multiply)
100x = 113.1 (divide by 100)
x = 1.131