Answer:
<em>75</em>
Step-by-step explanation:
Given:
f(1) = 100
f(n+1) = f(n) - 5
Solve for:
f(6)
Solution:
f(1) = 100
f(2) = f(1) - 5 = 100 - 5 = 100 - 1 x 5 = f(1) - 1 x 5
f(3) = f(2) - 5 = 100 - 5 - 5 = 100 - 2 x 5 = f(1) - 2 x 5
...
f(n) = f(n - 1) - 5 = 100 - (n-1) x 5 = f(1) - (n-1) x 5
=> f(6) = f(1) - (6-1) x 5 = 100 - 5 x 5 = 100 - 25 = 75
Hope this helps!
Answer:
19 ft.
Step-by-step explanation:
Pytahgorean theorm. A^2 + B ^2 = C^2
49 + 100 = 149
Square root the 149, which is ~12
That means the hypotenuse is twelve feet, and with the base of the pole being seven, the pole was originally 19 feet tall.
w is the width and it is the independent variable. You can pick any positive whole number you want (within reason of course; you can't go to infinity or go beyond some set boundary). Whatever you picked for w, the expression 2w-5 will be dependent on it. So the length is dependent on the width.
For instance, if the width is w = 10 feet, then 2w-5 = 2*10-5 = 20-5 = 15 feet is the length. The choice of 10 feet for the width directly affects the length being 15 feet.
Answer:
87.92in³
Step-by-step explanation:
Volume of cylinder formula:
Plug in the values using 3.14 for pi:
V = 3.14(2)^2(7)
V = 87.92in³
Answer:
−
√
(
9
+
y
)
2
>
1
Explanation:
−
√
(
9
+
y
)
2
, where y
<
−
10
Simplify the expression,
−
√
(
9
+
y
)
2
=
−
(
9
+
y
)
=
−
9
−
y
When y
<
−
10
,
−
y
>
10
Subtract 9 from both sides,
−
9
−
y
>
1 Hence,
−
√
(
9
+
y
)
2
>
1
