Answer:
<h2>The answer is 5 units</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question
The points are (9,-7) and (5, -4)
The distance between them is
We have the final answer as
<h3>5 units</h3>
Hope this helps you
Answer:
360
Step-by-step explanation:
f varies directly as g
f = kg where k is the constant of variation
f varies inversely as h
f = kg/h
We know g = 198 when h = –11 and f = –6. Substituting in
-6 = k*198/(-11)
-6 =k*(-18)
Dividing each side by -18
-6/-18 = k*-18/-18
1/3 =k
Our equation is
f = 1/3 g/h
Letting f = 12 and h = 10
12 = 1/3 g/10
Multiply each side by 10
12*10 =1/3 g/10*10
120 = 1/3 g
Multiply each side by 3
120*3 =1/3 g *3
360 =g
For this case we have the following equation:
Resolving we have:
We apply distributive property to the terms of parentheses:
Adding 6 to both sides of the equation:
Dividing between 3 on both sides of the equation:
ANswer:
Answer:
Situation 2 (B)
Step-by-step explanation:
I think it would be B since the power of the gear increases proportionally with the radius.
Answer:
65536 mold spores
Step-by-step explanation:
After 3 hours , 4² mold spores are growing.
After 6 hours , 4³ mold spores are growing.
After 9 hours , 4⁴ mold spores are growing.
After 12 hours , 4⁵ mold spores are growing.
It means in every 3 hours , 4 new spores form and grow from each pre-existing spore.
⇒ After 15 hours , 4⁶ mold spores are growing.
⇒ After 18 hours , 4⁷ mold spores are growing.
⇒ After 21 hours , 4⁸ = 65536 mold spores are growing
