DR/dt= -5inM-¹
dH/dt = 5inM-¹
recall V=πr²h
dV/dr = 2πrh
dV/dh= πr²
dV/dt = ½{ (dH/dt • dV/dH) + (dV/dr • dr/dt)}
dV/dt = ½{ ( 5×πr²) + (2πrh×-5)}
dV/dt = ½{ 5πr² -10πrh}
= ½{ 80π - 120π}
= -20π inM-¹
Answer:
7/15 probability
Step-by-step explanation:
Jermain has 15 marbles in total
7 of them are white
Hence the ratio is 7/15
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So PEMDAS
the order of simplification/operation is
parenthaseese
exponents
multiplication or division whichever comes first
addition or subtraction whichever comes first
so we work the parenthasees inside to out
inside parenthaseese=(10-4/2)
so no exponents so skip
there's division so we do that
4/2=2/1=2
then we have
(10-2)
subtraction
10-2=8
(8)
next parenthaseese/bracket
[5 times (8)+15]
multiplication
5 times 8=40
[40]
other brackets
{390-[40]+15}
subtraction
390-40=350
{350+15}
350+15=365
outside
2 times {365} times 2
multiplication
2 times 365=730
730 times 2=1460
Answer:
y = 7 is the desired equation
Step-by-step explanation:
If the line is horizontal, then its slope is zero (0). If this horizontal line passes through (4, 7), then y = 7 is the desired equation.