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3 years ago

Simplify The Expression (2n−9)−5(−2.4n+4)

Mathematics

1 answer:

Jlenok [28]3 years ago

3 0

Answer:

14n-29

Step-by-step explanation:

Remove the unnecessary parenthesis around the (2n-9)

(2n-9)-5(-2.4n+4)

Distribute the -5 into the -2.4n+4

2n-9-5(2.4n+4)

2n-9+12n-20

Combine like terms

2n-9+12n-20

14n-9-20

14n-29

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Can someone please help with these two questions please?

Sveta_85 [38]

Answer:

Step-by-step explanation:

S=4πr²

ds/dt=4π×2r×dr/dt=8πr dr/dt

dr/dt=60 cm/min

ds/dt=8π×60r=480πr

r=16,t=0

at t=2,r=16+32=48 cm

so ds/dt=480π×48=23040 πcm²≈72382.79 cm²

$V=\frac{1}{3} \pi r^2*h\\\frac{r}{h} =\frac{2}{3} \\r=\frac{2}{3} h\\V=\frac{1}{3} \pi( \frac{2}{3} *h)^2h\\V=\frac{4}{27} \pi h^3\\\frac{dV}{dt} =\frac{4}{27}\pi *3h^2\frac{dh}{dt} \\\\when ~h=1.8 ~m,\frac{dh}{dt} =2.1~m/min\\\frac{dV}{dt} =\frac{4}{9}\pi h^2\frac{dh}{dt} =\frac{4}{9} \pi*(1.8)^2*2.1=27.216 \pi \approx 85.502 m^3$

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3 years ago

HELPPPPPPPP PLEASEEEEEEE<br><br> Find X

katrin2010 [14]

Answer:

x ≈ 6.36

Step-by-step explanation:

Using the Sine Rule in Δ GHI

$\frac{GI}{sinH}$ = $\frac{GH}{sinI}$ , substitute values

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x = $\frac{21sin14}{sin127}$ ≈ 6.36 ( to the nearest hundredth )

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2 years ago

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Tiffany kicks a soccer ball off the ground and in the air, with an initial velocity of 28 feet per second. Using the formula H(t

Sedaia [141]

Answer:

The maximum height of soccer ball is 12.25 ft.

Step-by-step explanation:

It is given that Tiffany kicks a soccer ball off the ground and in the air, with an initial velocity of 28 feet per second. It means v = 28 ft.

Given formula is

$H(t)=-16t^2+vt+s$

The initial height of ball is 0.

$H(0)=-16(0)^2+v(0)+s$

$0=s$

The height of ball defined by the function

$H(t)=-16t^2+(28)t+0$

$H(t)=-16t^2+28t$

It is a downward parabola and the vertex of a downward parabola is the point of maxima.

The vertex of a parabola $f(x)=ax^2+bx+c$ is

$(\frac{-b}{2a},f(\frac{-b}{2a}))$

$\frac{-b}{2a}=\frac{-28}{2(-16)}=0.875$

$H(0.875)=-16(0.875)^2+28(0.875)=12.25$

Therefore the maximum height of soccer ball is 12.25 ft.

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2 years ago

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Slav-nsk [51]

Answer:

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3 years ago

Gabrielle’s age is two times mikhail’s age. The sum of their ages is 60.what is makhail age?

Len [333]

Answer:

Step-by-step explanation:

if their ages total is 60 and gabrielle's is two times mikhail's age, that means that Mikhail would be twenty because their age times 2 would be 40 and 40 plus 20 is 60.

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2 years ago

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