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3 years ago

Simplify (4x^-4)^-3...please help nstuck on this problem :(

Mathematics

1 answer:

shepuryov [24]3 years ago

4 0

The answer is 13 because first u do the parenthesis and the answer from that u subtract -3

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If a can is 20cm Haigh X 8cm diameter what is the volume

sattari [20]

Radius=8/2=4cm

volume=4*4*3.14*20=1004.8

The answer is 1004.8cm₃

7 0

3 years ago

If the line in the graph is shifted up two units which is the equation of the new line

anastassius [24]

Answer:

f(x) + 2.

Step-by-step explanation:

Example:

If we have say f(x) = x + 1 then 2 units will be added to f(x) when it is moved up 2 units.

So the equation of this line will be f(x) + 2 which in this example is

x + 1+ 2.

The new function is x + 3.

5 0

3 years ago

Please help! im struggling

ANEK [815]

3. x=0 y= 3
4. x=-2 y=3

8 0

3 years ago

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

Beyonce is solving a system of equations: 2x - 3y = - 2 and 4x + y = 24 She multiplies the second equation by 3 and then adds th

zmey [24]

Answer:

Yes, Beyonce will get the same solution.

Step-by-step explanation:

The given system is

2x - 3y = - 2

and

4x + y = 24

If she multiplies the first equation by -2 , she gets,

-4x+6y=4

4x + y = 24

Adding the two equations gives

7y=28

This means y=4

When we put y=4 into the bottom equation we get:

4x+4=24

4x=20

x=5

Therefore Beyonce will still get x=5, and y=4 as solution.

6 0

3 years ago