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MAXImum [283]
3 years ago
12

Negative sixteen plus the quotient of a number and -4 is -3​

Mathematics
1 answer:
GREYUIT [131]3 years ago
3 0

Answer:

The number is 76

Step-by-step explanation:

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The altitude of a triangle is increasing at a rate of 1 cm/ min while the area of the triangle is increasing at a rate of 2 cm2
serg [7]
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
4 0
3 years ago
Every day Jack runs 3 km a) Find out how far he runs in 4 weeks​
Dafna1 [17]

Answer:

84 km

Step-by-step explanation:

you times 7 by 4 and get 28 then you times 3 by 28 and get 84 km

7 0
2 years ago
Get ready for school from 6:55 to 6:44 how many minutes passed
butalik [34]
11 minutes has passed just subtract

5 0
3 years ago
Read 2 more answers
L –3 |<br><br><br> A. 3<br><br> B. -3<br><br> C. 0.30<br><br> D. 30
Vesnalui [34]

Answer:

| -3 | = 3

Step-by-step explanation:

minus is removed

7 0
3 years ago
A.240<br> B.360<br> C.480<br> D.720
diamong [38]
Answer is D. 720 Hope this helps
7 0
2 years ago
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