Answer:
He spent $2.25.
Step-by-step explanation:
Multiply $9 by 3/4 and we get $6.75.
Now subtract $6.75 from $9.
We get $2.25
Ya, calculus and related rates, such fun!
everything is changing with respect to t
altitude rate will be dh/dt and that is 1cm/min
dh/dt=1cm/min
area will be da/dt which is increasing at 2cm²/min
da/dt=2cm²/min
base=db/dt
alright
area=1/2bh
take dervitivie of both sides
da/dt=1/2((db/dt)(h)+(dh/dt)(b))
solve for db/dt
distribute
da/dt=1/2(db/dt)(h)+1/2(dh/dt)(b)
move
da/dt-1/2(dh/dt)(b)=1/2(db/dt)(h)
times 2 both sides
2da/dt-(dh/dt)(b)=(db/dt)(h)
divide by h
(2da/dt-(dh/dt)(b))/h=db/dt
ok
we know
height=10
area=100
so
a=1/2bh
100=1/2b10
100=5b
20=b
so
h=10
b=20
da/dt=2cm²/min
dh/dt=1cm/min
therefor
(2(2cm²/min)-(1cm/min)(20cm))/10cm=db/dt
(4cm²/min-20cm²/min)/10cm=db/dt
(-16cm²/min)/10cm=db/dt
-1.6cm/min=db/dt
the base is decreasing at 1.6cm/min
Answer:
18 gallons
Step-by-step explanation:
divide 300 by 15 you 150 or 15 again then add 1 gallon per every twenty miles
thus your answer is 18 gallons of gas
Answer:
Multiplication.
Step-by-step explanation:
Given:
Also 
Solution:
It has been given that value of x is 5.
So if we substitute the value of x in given equation the we get;
Now by PEDMAS, The first operation perform will be the terms in parenthesis and in that too the first will be multiplication.
so we get;
Now again Solving the terms in parenthesis we get;
Now the next operation will be addition then we get;
And finally performing subtraction we get;
Hence The first operation performed in given equation is multiplication.
Answer:
Multiply a by 2, then subtract by a, then divide by 4
Step-by-step explanation:
a=(1/2)(4y+a)
2a = 4y + a
a = 4y
y = 4
