Answer:
1071.79 yd³
Step-by-step explanation:
radius r = 16/2 = 8 yd
height = 16 yd
volume = (1/3)×πr²h
= (1/3)×3.14×8²×16
= 1071.79 yd³ (rounded to the nearest tenth)
Answer:
The absolute value graph below does not flip.
Step-by-step explanation:
New graphs are made when transformed from their parents graphs. The parent graph for an absolute value graph is f(x) = |x|.
The equation used for a new graph transformed from the parent graph is in the form f(x) = a |k(x - d)| + c.
"a" shows vertical stretch (a>1) or vertical compression (0<a<1), and <u>flip across the x-axis if "a" is negative</u>.
"k" shows horizontal stretch (0<k<1) or horizontal compression (k>1), and <u>flip across the y-axis if "k" is negative</u>.
"d" shows horizontal shifts left (positive number) or right (negative number).
"c" shows vertical shifts up (positive) or down (negative).
The function f(x)=2|x-9|+3 has these transformations from the parent graph:
a = 2; Vertical stretch by a factor of 2
k = 1; No change
d = 9; Horizontal shift right 9 units
c = 3; Vertical shift up 3 units
Since neither "a" nor "k" was negative, there were no flips, <u>also known as reflections</u>.
X-3/8=3/6
Add 3/8 to both sides, to leave the variable alone
X= 3/6-3/8
Use common denominators-8 (3/6 is 1/2)
X= 4/8-3/8
X=1/8
Answer:
12 pounds
Step-by-step explanation:
One quantity is asked for, so it is convenient to let a variable represent that. We can use x to represent pounds of chocolate. Then the total cost of the mix is ...
19.30·x + 3.50·18 = 9.82·(x +18) . . . . cost of chocolate + cost of trail mix
9.48·x = 113.76 . . . . . . simplify, subtract 63+9.82x
113.76/9.48 = x = 12 . . . . . . divide by the coefficient of x
The owner needs to mix 12 pounds of chocolate. (no rounding necessary)
Today I am going to share with you my ideas about my favourite time of the day. All time is great. It is God's gift to us to make or mar ourselves. I respect time whether in the morning, afternoon, evening, or night; I just love time.
