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Rufina [12.5K]
2 years ago
12

SOMEONE PLS HELP ME WITH THIS

Mathematics
2 answers:
LekaFEV [45]2 years ago
7 0

Answer:

Divide both sides by 0.8;

x = 11.25

Step-by-step explanation:

jolli1 [7]2 years ago
4 0

Answer:

x = 11.25

Step-by-step explanation:

-6 = 0.8x - 15

Add 15 to both sides;

-6 + 15 = 0.8x - 15 + 15

9 = 0.8x

Divide both sides by 0.8;

x = 11.25

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The factory makes a total of 800 hats
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Which is equivalent to -√10 3/4^x?
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4 0
3 years ago
Read 2 more answers
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
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Answer:

38

Step-by-step explanation:

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3 years ago
Find the solution of the initial value problem<br><br> dy/dx=(-2x+y)^2-7 ,y(0)=0
Leokris [45]

Substitute v(x)=-2x+y(x), so that \dfrac{\mathrm dv}{\mathrm dx}=-2+\dfrac{\mathrm dy}{\mathrm dx}. Then the ODE is equivalent to

\dfrac{\mathrm dv}{\mathrm dx}+2=v^2-7

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\dfrac{\mathrm dv}{v^2-9}=\mathrm dx

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Given the initial condition y(0)=0, we find

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so that the ODE has the particular solution,

\boxed{y=2x+\dfrac6{1+e^{6x}}-3}

5 0
3 years ago
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