Answer:
9 seconds
Step-by-step explanation:
The complete question is
The altitude of an object, d, can be modeled using the equation below:
d=-16t^2 +vt+h
from the edge of a 486 foot cliff, Peyton shot an arrow over the ocean with an initial upward velocity of 90 feet per second. In how many seconds will the arrow reach the water below?
Let
d ----> the altitude of an object in feet
t ---> the time in seconds
v ---> initial velocity in ft per second
h ---> initial height of an object in feet
we have
we know that
When the arrow reach the water the value of d is equal to zero
we have
substitute the values and solve for t
Multiply by -1 both sides
The formula to solve a quadratic equation of the form is equal to
in this problem we have
substitute in the formula
the solution is t=9 sec
see the attached figure to better understand the problem
I think it is a statistical question
Answer: 24 tests
Step-by-step explanation:
Ms. Carey graded 1/3 of the tests and still had 16 tests to go.
This means that the 16 tests represent the remaining proportion of the total number of tests:
= 1 - 1/3
= 2/3
2/3 of the total is equal to 16 tests. Assuming the total is x, the expression would be:
2/3x = 16
x = 16 ÷ 2/3
x = 16 * 3/2
x = 24 tests
Oscar's age = 16
Sister's age = 12
Current year: 16 / 12
Simplest form: 4 / 3 ; both are divisible by 4.
2 years after: (16 + 2) / (12 + 2) = 18 / 14 ; add two years to both numbers.
Simplest form: of 18 / 14 is 9 / 7; both are divisible by 2.
Answer:
Step-by-step explanation:
Another complex expression, let's simplify it step by step...
We'll start by re-writing 256 as 4^4
Then we'll extract the 4 from the cubic root. We will then subtract 3 from the exponent (4) to get to a simple 4 inside, and a 4 outside.
Now, we have x^10, so if we divide the exponent by the root factor, we get 10/3 = 3 1/3, which means we will extract x^9 that will become x^3 outside and x will remain inside.
For the y's we have y^7 inside the cubic root, that means the true exponent is y^(7/3)... so we can extract y^2 and 1 y will remain inside.
The answer is then: