The function is: g ( x ) = 6^x
Section A: from x = 1 to x = 2
g ( 1 ) = 6, g ( 2 ) = 36
Average rate of change:
( 36 - 6 ) / ( 2 - 1 ) = 30 / 1 = 30
Section B : from x = 3 to x = 4
g ( 3 ) = 6^3 = 216, g ( 4 ) = 6 ^4 = 1296
Average rate of change:
( 1296 - 216 ) / ( 4 - 3 ) = 1080 / 1 = 1080
1080 : 30 = 36
Average rate of change of Section B is 36 times greater than the Section A.
This is because the function is exponential.
M(1,-7): Plot the points and then find your slope which is -8/8 or -1. Separate each point into 5 pieces of the left part of the segment and 3 on the right.
Answer:
a) The volume of the water is approximately 678.6 cm³.
b) The volume of the sphere is approximately 113.1 cm³.
c) The new height of the water is approximately 7 cm, one cm higher than before.
Step-by-step explanation:
To solve this problem we first need to calculate the volume of the water, which is given by the cylinder volume, since it's stored in a cylindrical container.
We now need to calculate the volume of the sphere, by using the appropriate formula:
When the sphere is inserted into the cylinder the volume of the things that are inside of the container are added up, so the volume would be the volume of the water plus the volume of the sphere, we can use this information to calculate the height of the water as shown below:
a) The volume of the water is approximately 678.6 cm³.
b) The volume of the sphere is approximately 113.1 cm³.
c) The new height of the water is approximately 7 cm, one cm higher than before.
<span>How do I combine like terms for 5y-8-y
</span>5y-8-y
= 4y - 8....this is your answer
Answer:
17.6 miles
Step-by-step explanation:
5 divided by 8 is 1.6
1.6 times 11 is 17.6