Answer:
see below
Step-by-step explanation:
The conversion factor in the box is the product ...

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The purpose of a conversion factor is to multiply by 1 in the form of a ratio that changes the units. We know that 1000 Pa = 1 kPa, so the ratio (1 kPa)/(1000 Pa) is the ratio of two equal quantities. It has the value 1 and will change units from Pa to kPa.
Likewise, 100 cm = 1 m, so (1 m)/(100 cm) will change the units from cm to m. However the given expression uses cm³, so we need to multiply by the conversion factor 3 times. That factor is ((1 m)/(100 cm))³ = (1 m³)/(10⁶ cm³).
To choose the appropriate conversion factor, look at the units you have (Pa, cm) and the units you want (kPa, m). Find the relationship these have to each other, and write the ratio so that it will cancel the units you have and leave the units you want.
When SI units are involved the prefixes help you out. k = kilo = 1000; c = centi = 1/100. It is worthwhile to get to know them.
To find the slope, we put this in y = mx + b form where m is ur slope.
3x - 4y = 7.....subtract 3x from both sides
-4y = -3x + 7 ...now we divide both sides by -4
(-4/-4)y = (-3/-4)x + (-7/4)...simplify
y = 3/4x - 7/4
y = mx + b
y = 3/4x - 7/4.....so the number in the m position is 3/4 <== ur slope
You have to make a proportion:
12+x/8=8/x
Then cross multiply to solve for x
Answer:
C.) Triangle TUV ~ Triangle WXY
Step-by-step explanation:
Find the angles that are equal in each triangle, and put them in the same position in the statement.
T and W are equal; therefore, they are first in each.
U and X are equal; therefore, they are second in each.
V and Y are equal; therfore, they are last in each.
In this geometric sequence:
t 1 = 3 ( first term ) and r = 2 ( common ratio )
t 2 = 3 · 2 = 6
t 3 = 3 · 2² = 12
t 4 = 3 · 2³ = 24
Answer: D ) 3, 6 , 12, 24