Answer:
11505 bacteria
Step-by-step explanation:
Given :
The bacteria in a certain culture triples every 7.7 hours. The culture has 6,500 bacteria at the start .
As per the exponential growth , we have
Here ,
is starting number of bacteria
R is rate at which number of bacteria increases
T is time elapsed
P is one period of rate
On putting these values in formula , we get
So, the culture will contain 11505 bacteria after four hours .
So
bowl is a half sphere
cylinder is a cylninder
cone is cone
bowl:
area of circle=4/3 pi times r^3
half bowl=4/3 times 1/2 times pi times r^3=2/3pi r^3
cylinder=height times pi times radius^2
this cylinder=r times pi times r^2=pi times r^3
cone=1/3 times height times pi times radius^2
thgis cone=1/3 times r tiimes pi times r^2=1/3 times pi times r^3
compare
bowl=2/3 pi r^3
cylinder=pi r^3
cone=1/3 pi r^3
the cylinder is biggest
CYLINDER IS THE ANSWER
2.
sphwere=4/3 times radius^3 times pi
this sphere=4/3 times pi times r^3
cylinder=height times radius^2 time pi
this cylinder=2r times r^2 times pi=2r^3 times pi
cone=1/3 times height time r^2 times pi
this cone=1/3 times 2r times r^2 times pi=1/3 times 2r^3 times pi=2/3 times r^3 times pi
sphere:4/3 pi r^3
cylinder: 2 pi r^3
cone: 2/3 pi r^3
Answer:
140°
Step-by-step explanation:
Let the angles be 2x,3x,6x and 7x
Now,
sum of all angles of a quadrilateral=360°
2x+3x+6x+7x =360°
18x=360°
x=360°/18
x=20
Then,
2x=2×20=40
3x=3×20=60
6x=6×20=120
7x=7×20=140
Hence,the largest angle is 140°
Given:
The inequality is
To find:
The solution of the given inequality.
Solution:
We have,
Subtract 2x from both sides.
Add 5 on both sides.
Divide both sides by 2.
It means, the numbers less than 2 or 2 are included in the solution set.
Number on the left side of 2 are less than 2. So, number line with a filled circle at 2 and shading to the left.
Therefore, the correct option is D.