Answer:
40 dollars
Step-by-step explanation:
Profit is what he earned minus his costs
Profit = 125 -85
Profit = 40
<h3>Given</h3>
4 hundreds flats; 5 tens rods; 2 ones cubes
<h3>Find</h3>
The number of hundreds flats in each of 2 equal piles
<h3>Solution</h3>
When 4 flats are divided into two equal groups, each group will have ...
... 2 flats
_____
You can imagine doing this the way a card dealer might: first put 1 flat in each of 2 piles, then do the same for the remaining 2 flats. Each pile will end up with 2 flats.
— — — — —
You will have a problem if you continue with the tens rods. There is an odd number of those, so one of them will have to be exchanged for 10 ones cubes.
Answer:
The function g(x) is defined as
.
Step-by-step explanation:
The given function is

The function f(x) transformed 9 units right, compressed vertically by factor of 1/6 and reflected across the x-axis.
The transformation of function is defined as

Where, k is vertical stretch, b is horizontal shift and c is vertical shift.
If b>0, then the graph of f(x) shifts b units left and if b>0, then the graph of f(x) shifts b units right.
If c>0, then the graph of f(x) shifts c units upward and if c>0, then the graph of f(x) shifts c units downward.
The value of b is -9 because the graph shifts 9 units right. The value of k is 1/6. If the graph of function f(x)reflect across x-axis, therefore the function is defined as -f(x).

![[\because f(x)=-(0.2)^x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3D-%280.2%29%5Ex%5D)
Therefore the function g(x) is defined as
.
Answer:
81.12 cm²
Step-by-step explanation:
The area for a semicircle can be figured with this formula: (πr²)/2. The triangle's area formula is bh/2.
(3.14 * 4²)/2 + (14 * 8)/2 <em>(Work the operations in parentheses first.)</em>
(3.14 * 16)/2 + 112/2
50.24/2 + 112/2 (<em>Divide 50.24 by 2. Do the same for 112.)</em>
25.12 + 56 (<em>Add 25.12 & 56.)</em>
81.12 cm²
The area of the figure is 81.12 cm².
Answer:
x = 80
Step-by-step explanation:
Because of the parallel lines and the transversal to the left,
x + 67 = 147
x = 80