I hope this helps you
Volume of cone =1/3.pi.r^2.h
Volume of cone =1/3.3,14.6^2.9
Volume of cone =339.12
Answer:
A. 10 bricks
B. 4 pounds
Step-by-step explanation:
Water = 39 pounds
brick dust = 48 pounds
Total mixture = water + brick dust
= 39 + 48
= 87 pounds
She spills 13 pounds of the mixture while stirring
Remaining mixture = Total mixture - Spillage
= 87 pounds - 13 pounds
= 74 pounds
The mixture is then poured into small dirt holes to make bricks. Each brick requires 7 pounds of mixture
Number of bricks made = Remaining mixture / pounds per brick
= 74 pounds / 7 pounds
= 10 bricks remaining 4 pounds of the mixture
A. What is the greatest number of bricks Lynn can make?
10 bricks
B. How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest number of bricks?
4 pounds
Answer:
The first option is the correct option
Step-by-step explanation:
From the question the slope AC is evaluated as
And the slope of line CB is mathematically evaluated as
Now for lines that are perpendicular to each other then the product of their slope should be equal to -1
So if 
Then
i,e
![[\frac{b}{a+ c} ] [\frac{b}{a-c} ] = -1](https://tex.z-dn.net/?f=%5B%5Cfrac%7Bb%7D%7Ba%2B%20c%7D%20%5D%20%5B%5Cfrac%7Bb%7D%7Ba-c%7D%20%5D%20%3D%20-1)
Answer: Hello there!
We know that the culture has 2000 bacteria initially (at t = 0 min), and it doubles when t = 40min, again at t = 80 min, and so on
And the rate of grouth is proportional to the population, then we can obtain an expression of the form:
P(t) = 2000*k(t) where k(t) is the factor that defines the growth of the population:
we know that:
p(0) = 2000*k(0) = 2000
p(40) = 2000*k(40) = 2000*2 = 4000
p(80) = 2000*k(80) = 2000*2*2 = 8000
etc
then we can see that k(t) = 2^(t/40)
where k(0) = 1, k(40) = 2, k(80) = 2*2, etc
then the function that models the population of the culture is:
p(t) = 2000*2^(t/40)
where t is in minutes.
a = total amount invested at 5%
b = total amount invested at 8%
we know 5% was earned in interest from "a", so that'd be (5/100) * a or 0.05a.
we know 8% was earned in interest from "b", so that'd be (8/100) * a or 0.08b.
we also know that the total for both is 1000, a + b = 100.
