Answer:
It's A, Because it makes the most sense in this algebra question.
Step-by-step explanation:
Have a great day!
Stay safe and healthy!
Happy holiday seasons!
Answer:
<h3>The option A)

is correct answer.</h3><h3>The correct simplification for the given expression

is

</h3>
Step-by-step explanation:
Given expression is x to the 12th power times z to the 11th power all over x to the 2nd power times z to the 4th power.
The given expression can be written as 
<h3>To choose the correct simplification of the given expression :</h3>
Now we have to simplify the given expression as below

( by using the identity
)

( by using the identity
)


∴ 
<h3>The correct simplification for the given expression

is

</h3><h3>Hence option A)

is correct answer.</h3>
Answer:

Step-by-step explanation:
We look for where
. The way you find the answer is first, find the point
. Draw a line straight up and down, and see where that line intersects the function. Those intersection points are your answer(there will always be only 1 for a function, but if a graph isn't a function, there might be more than 1).
Using this method here, we see that
intersects our line at
, so
.
Answer:
at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground
Step-by-step explanation:
Data provided in the question:
height in feet above ground of a seat on the wheel at time t seconds is
modeled as
h(t) = 
now,
at height 53 above the ground, we get the equation as:
53 = 
or
= 53 - 53
or
= 0
also,
sin(0) = 0
and,
sin(π) = 0
therefore,
= 0
or

or
t = 8 seconds
and,
= π
or
or
or
t = 24 seconds
Hence,
the at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground
Answer:

Step-by-step explanation:
Evaluating the numerator and denominator before evaluating
Using the rule of exponents
⇔
,
= 1
Thus
y² ← substitute values into expression
=
× 4² =
× 16 = 
and denominator

= 1 × 4³ = 1 × 64 = 64
Now dividing
÷ 64
=
×
( cancel 16 and 64 )
=
= 