100.20 < 7.40t + 41
The chemistry club can spend exactly $100.20 for 8 hours, but cannot exceed 8 hours to keep the maxed limit. So 8 hours or less
Answer:
75cm^2
Step-by-step explanation:
When you say a rectangular prism, it means it has the base has 4 sides of which opposite sides are equal as a rectangle. This sides substends so we have a total of 6 surfaces in this prism.
This 6 surfaces has 3 surface area the same.
The surface area = sum of area of all faces.
325= 50 + 50 + 37.5 + 37.5 + 2x; where X is the area of the surface unknown.
325= 100+ 75 + 2x
325-175= 150
150= 2x
X= 150/ 2 = 75 cm^2
Assuming that the order of selection is not important, this is a question of number of ways. In other words, the combination should be computed. That is,
Number of ways of selection 5 flowers = 12C5 = 12!/{5!*(12-5)!} = 12!/{5!*7!} = 792
Therefore, there are 792 ways in which 5 flowers can be selected from the available 12 flowers.
Triangular prism
length of slanted side:
sqrt(3^2 + 4^2) = 5
SA = 2(1/2)(8)(3) + 8(12) + 2(5)(12) =240
V = (1/2)(8)(3)(12) = 144
cuboid
SA = 2(7x6) + 2(7x5) + 2(6x5) = 214
V = 7x6x5 = 210
<u>Answer:</u>

gradient = = 
y-intercept = 
<u>Step-by-step explanation:</u>
• The slope-intercept form of an equation takes the general form:
,
where:
m = slope,
c = y-intercept.
• We are given the equation:

To change this into the slope-intercept form, we must make y the subject:
[subtract
from both sides]
⇒
[divide both sides by 3]
⇒ 
• Comparing this equation with the general form equation, we see that:
m = 
c =
.
This means that the gradient is
, and the y-intercept is
.