Answer:
3.6 cups of wild bird seed
Step-by-step explanation:
30% x 12 cups
12 * .3
= 3.6
Answer:
Length is 5 h +3
Width is 6 h -5
Volume is
Range of height fall [0.8333, ∞)
Step-by-step explanation:
V= l x w x h
Let height of the prism as 'h'.
So, length is 3 ft more than 5 times h.
l = 5 h+3
Now, width is 5 ft less than 6 times h.
w=6 h -5
Volume = (5 h+3)(6 h -5) h.
Expand the volume expression using FOIL method and distribution.
(5 h+3)(6 h-5)=
Simplify and then multiply by h.
Volume =
IF we see the constraint on 'h'
h >0
or
5 h +3 >0
Solve for 'h'
5h > -3
h>
Negative does not work.
or, 6 h -5 >0
Solve it for h.
6 h >5
h> or h>0.833
So, range of h is greater than 0.833.
In interval notation [0.833, infinity)
Answer:
See explanation.
Step-by-step explanation:
The added 2 to the end of the equation suggests a shift 2 units upward.
<em>SEE IMAGE #1</em>
A 2 added directly to the x variable which is cubed alongside the x suggests a shift 2 units to the left.
<em>SEE IMAGE #2</em>
The first image shows your first translated function, the second image shows your second translated function. Your parent function [f(x)] is in red, your child functions are in blue.
Transformations within the parantheses are opposite than you may think:
Adding a number within parantheses suggests a shift to the left (more negative), while subtracting a number within parantheses suggests a shift to the right (more positive).
Answer:
the area of the circle is 25π or about 78.54 yards
Step-by-step explanation:
Area of circle=πr^2, r being radius
r=5
5^2=25
25π≈78.54 yards
Angle EKF and angle HKI are vertical angles