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evablogger [386]
3 years ago
7

50 points!!! Factor completely 3n^4+21n^3+27n^2 Please show work!!

Mathematics
1 answer:
Elden [556K]3 years ago
5 0

Answer:

3n^2(n^2+7n+9)

Step-by-step explanation:

Find the common factor. In this case, it is 3n^2. Take out the common factor of the integers.

So, therefore it is

3n^2(n^2+7n+9)

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Find the volume of the cone. Round your answer to the nearest tenth if necessary. Use 3.14 for it.
Korolek [52]

Answer:

452.448cm^3

Step-by-step explanation:

Given data

Height= 25cm

Diamter= 12cm

Radius= 6cm

The expression for the volume of a cone is given as

V= 1/3*πr^2h

Substitute

V= 1/3*3.142*6^2*25

V=  1/3*3.142*36*12

V=  1/3*1357.344

V=452.448cm^3

Hence the volume is 452.448cm^3

8 0
2 years ago
True or False: Validity of data refers to whether the data doesn’t measure what it claims to measure. True False
shtirl [24]

Answer:

It's False

Step-by-step explanation:

It does refer to whether the data measures what it claims to measure.

Hope i helped you!

7 0
3 years ago
What’s the answer to this?
inna [77]

Since the triangle is equilateral, all its angles are equal to 60°

AO is the bisector⇒∠OAD = 30°

AO is the hypotenuse, ∠OAD = 30°⇒

OD=5*2=10m

By the Pythagorean theorem

10^2=AD^2+5^2\\AD=\sqrt{100-25} \\AD=\sqrt{75}

AC=AD+DC=2\sqrt{75}=10\sqrt{3}

S=\frac{a^2\sqrt{3} }{4}

S=\frac{(10\sqrt{3})^2\sqrt{3}  }{4} =\frac{300\sqrt{3} }{4} =75\sqrt{3} m^2

Answer: A) S=75\sqrt{3}m²

P.S. Hello from Russia and sorry for my bad english :^)

3 0
2 years ago
Please help as soon as possible.
aniked [119]

Answer:

C = 37.6991

Step-by-step explanation:

The equation for the circumference of a circle is given: C = π · d

where, d is the diameter of the circle.

Plug in the value of d = 12 and use the π button on the calculator.

C = π · 12

C = 37.6991

5 0
3 years ago
Read 2 more answers
An oil tank is leaking into a lake at a rate of 0.1 m3/day. The oil slick forms a semicircular disk whose center is at the leak
gregori [183]

Answer:

17.9  m/s

Step-by-step explanation:

Volume of the slick =  0.5 x π r² h--------------------------------- (1)

Where r = radius of slick

           h = thickness of slick, 10⁻⁶m

If 0.5m³ of oil leaked, then the radius of the semicircular slick can be calculated from equation (1)

V  =  0.5 x π r² h

0.5=  0.5 x  π x  r² x 10⁻⁶

r²   =  10⁶/ π

r =     10³/√π

dV/dt =   πrh dr/dt  + 0.5π r² dh/dt----------------------------------- (2)

Asumming the film thickness is constant , equation (2) becomes

dV/dt =   πrh dr/dt-------------------------------- (3)

dV/dt = 0.1m³/day

r=  10³/√π

dr/dt= rate of expansion of the slick

Substituting  into (3);

0.1 =  π x 10³/√π x 10⁻⁶ x dr/dt

dr/dt = 0.1  x 10⁶/ ( π x 10³/√π)

       =  17.9479 m/s

       ≅  17.9  m/s

8 0
3 years ago
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