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4 years ago

Evaluate f(x) = 6x for x = 3.

Mathematics

2 answers:

iragen [17]4 years ago

5 0

I think it 18 that what i got. Hope this helps.

wolverine [178]4 years ago

3 0

It would be 18 because you multiply 6 x3 the f(x)

Hope that helped

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From a circular cylinder of diameter 10 cm and height 12 cm are conical cavity of the same base radius and of the same height is

Nataliya [291]

<h3>Volume of the remaining solid = 628 cm^2</h3>

<h3>Whole surface area = 659.4 cm^2</h3>

Step-by-step explanation:

Now, Given that:-

Diameter (d) = 10 cm

So, Radius (r) = 10/2 = 5cm

Height of the cylinder = 12cm.

$volume \: of \: the \: cylinder \: = \pi {r}^{2} h$

$= > \pi \times {5}^{2} \times 12 {cm}^{3} = 300\pi {cm}^{3}$

Radius of the cone = 5 cm.

Height of the cone = 12 cm.

$slant \: height \: of \: the \: cone \: = \sqrt{ {h}^{2} + \: {r}^{2} }$

$= > \sqrt{ {5}^{2}+{12}^{2} } cm \: = 13cm$

Volume of the cone = 1/3 *πr^2h

$= > \frac{1}{3} \pi \times {5}^{2} \times 12 {cm}^{3} = 100\pi {cm}^{3}$

therefore, the volume of the remaining solid

$= 300\pi {cm}^{3} - 100\pi {cm}^{3} \\ = 200 \times 3.14 {cm}^{3} = 628 {cm}^{3}$

Curved surface of the cylinder =

$2\pi \: rh \: = 2\pi \times 5 \times 12 {cm}^{2} \\ = 120\pi {cm}^{2} .$

$curved \: surface \: of \: the \: cone \: = \pi \: rl \\ = \pi \times 5 \times 13 {cm}^{2} \\ = 65\pi {cm }^{2} \\ area \: of \: (upper)circular \: base \: \\ of \: cylinder \: = \\ = \pi \: {r}^{2} = \pi \times {5}^{2}$

therefore, The whole surface area of the remaining solid

= curved surface area of cylinder + curved surface area of cone + area of (upper) circular base of cylinder

$= 120\pi {cm}^{2} + 65\pi {cm }^{2} + 25 \pi {cm}^{2} \\ = 210 \times 3.14 {cm}^{2} = 659.4 {cm}^{2}$

<h3>Hope it helps you!!</h3>

6 0

2 years ago

£50 is divided between Brian Colin and Dan so that Brian gets twice as much as colin and Colin gets three times as much as Dan.

cluponka [151]

Answer:

33.32

Step-by-step explanation:

50/3=16.66

brian gets twice as collin

16.66*2=33.32

3 0

2 years ago

Read 2 more answers

Helllllppppppp help help

Katena32 [7]

Answer:

1. 2

2. 8

3. 1.5

4. 62.83185

5. 18.85

6. 87.96

7. 12.57

8. 1256.64

9. 63.62

10. Half

11. perimeter

12. not sure

Step-by-step explanation:

8 0

3 years ago

Give the range of the relation shown below

Roman55 [17]

Answer:

Range { 3,7,11,15}

Step-by-step explanation:

The range is the output or y values

Range { 3,7,11,15}

4 0

3 years ago

Put answer in coordinate form: 2x + 2y = -2 and 9x - 6y = 36

zhannawk [14.2K]

Coordinate form is (x,y) using the variables respectively.

2x+2y=-2
-2y
2x= -2-2y
/2

x=-1-y

9x-6y=36
9 (-1-y)-6y=36
-9-9y-6y=36
+9.
-9y-6y=45
-15y=45
/-15
y=-3

x=-1-y
x=-1- (-3)
x=2

answer: (2,-3)

5 0

3 years ago