Answer:
16
Step-by-step explanation:
1/2 x (1/2)^-5
=1/2x32
=16
Answer:
D
Step-by-step explanation:
1. Remind that

Here you can use trigonometric table to find the value of
, or you can remind that
and
because special right triangle 45°-45°-90° is isosceles (with congruent oppposite and adjacent legs) and the ratio between the opposite leg and adjacent leg is equal to 1.
2. Now

because

Answer:
.

Step-by-step explanation:
From Mathematics we remember that the domain of a functions corresponds to the set of values of the independent variable (
in this case) so that images exist and the range of a function is the set of images.
In this case, we know the domain and range of
and we must find the domain and range of
.
Domain
The domain of
is the domain of
. That is,
.
Range
We have to define the bounds of the range of
, given that range
is modified by streching and horizontal translation operations:
Lower bound (
)

Upper bound (
)

In consequence, the range of
is 
The profit he made from selling his hearing aids at a profit of 17% is $234.26.
<h3>How to calculate the profit obtained?</h3>
To calculate the profit obtained, we must calculate how much money is equal to 17% of $1,378.
- $1,378 ÷ 100 = $13.78
- $13.78 × 17 = $234.26
Based on the above, 17% of $1,378 equals $234.26. On the other hand, to calculate the final sale price of the earphone, we add the initial value plus the value of the profit.
$1,378 + $234.26 = $1,612.26
Learn more about profit in: brainly.com/question/15293328
9 divided by 72 = 0.125
0.125 is the weight of one book
0.125 times 80 = 10kg.
So 80 books weight 10kg.
72 divided by 9 = 8 books make up 1 kg.
8 times 6 =48