Step 1.) 7^5 = 16,807
Step 2.) 9 - 16,807 = -16,798
Step 3.) -16,798 * c = -16,798c
Answer:
h = 54 feet
Step-by-step explanation:
The equation for the volume of a cone is V = 
× π × r² × h.
You have the volume, which is 8,138.88, and the radius of the base, which is 12.
V = 8,138.88
h = 12
π = 3.14
When you plug everything you know into the equation, you get:
V = × 3.14 × r² × h.
8,138.88 = × 3.14 × (12)² × h
After you multiply everything on the right side, you come out with:
8,138.88 = 150.72 × h
To find h, you can divide each side by 150.72.
8,138.88 ÷ 150.72 = 54 feet!
Answer:
Explanation:
We have:
(
2
x
+
3
)
(
4
x
2
−
5
x
+
6
)
Now let's distribute this piece by piece:
(
2
x
)
(
4
x
2
)
=
8
x
3
(
2
x
)
(
−
5
x
)
=
−
10
x
2
(
2
x
)
(
6
)
=
12
x
(
3
)
(
4
x
2
)
=
12
x
2
(
3
)
(
−
5
x
)
=
−
15
x
(
3
)
(
6
)
=
18
And now we add them all up (I'm going to group terms in the adding):
8
x
3
−
10
x
2
+
12
x
2
+
12
x
−
15
x
+
18
And now simplify:
8
x
3
+
2
x
2
−
3
x
+
18Step-by-step explanation:
Answer:
x = log 10/log 3
Step-by-step explanation:
3^x - 4 = 6
3^x = 10
We take log base 3 of both sides since log_3 3^x is simply x.
log_3 3^x = log_3 10
x = log_3 10
We have an answer for x, but it is a log base 3. We want log base 10.
Now we use the change of base formula.
log_b y = log y/log b
x = log 10/log 3
