Answer:
3 seconds.
Step-by-step explanation:
We have been given that Sandra throws an object straight up into the air with initial velocity of 38 ft per second from platform that is 30 ft above the ground.
To find the time it will take for object to hit the ground, we will use formula:
, where,
represents initial velocity and
represents initial height.
Upon substituting our given initial velocity and initial height, we will get:

We know that object will hit the ground, when height will be 0, so we will equate object's height equal to 0 and solve for t as:

Divide by 2:

Upon using quadratic formula, we will get:






Since time cannot be negative, therefore, it will take 3 seconds for object to hit the ground.
Answer:
Step-by-step explanation:
Let q represent the number of quarters (the higher-value coin). Then 8-q is the number of dimes, and Jill's total amount in change is ...
0.25q +0.10(8-q) = 1.25
0.15q + 0.80 = 1.25 . . . . . . . eliminate parentheses
0.15q = 0.45 . . . . . . . . . . . . . subtract 0.80
q = 3 . . . . . . . . . . . . . . . . . . . . divide by 0.15
the number of dimes is 8-q = 8-3 = 5.
Jill has 3 quarters and 5 dimes.
Generally, x <span>• x is accepted to mean "x times x" or "x multiplied by x"
and x+x means "x plus x" or "x added to x"
let's try by subsituting numbers for them
if we can find one case where the statement "x+x is the same as x</span><span>•x" is false, then it is not true
let's try x=4
x+x=x</span><span>•x
4+4=4</span>•<span>4
8=16
false
so it is not true
(x+x is equal to 2x, so therefor if we were to solve 2x=x</span><span>•x, we would get that it is only true for x=2 and x=0)
it is not always true
</span>
The set of all output values for a function is called the range.