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andreyandreev [35.5K]
3 years ago
14

Ecuación 2/3 x – x / 6 = 2

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
5 0

Answer:

x=4

Step-by-step explanation:

multiply both sides, colect the terms, divide,  answer!

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If you were filling the cylinder up with water using a cone that has the same height and diameter, how many cones will it take t
aleksandrvk [35]

Answer:

It required 3 cones to fill up the cylinder with the same height and diameter.

Step-by-step explanation:

Let the radius of the cone and cylinder be r.

Let the height of the cone and cylinder be h.

As we know that  \text{Volume of cylinder}=\pi r^2h ....(1)

\text{Volume of cone}=\frac{1}{3}\pi r^2h

It can be observed that the volume of a cone is \frac{1}{3}rd the volume of the cylinder. so, multiply the volume of the cone by 3.

3 \times \text{Volume of cone}=3 \times \frac{1}{3}\pi r^2h

3 \times \text{Volume of cone}= \pi r^2h

3 \times \text{Volume of cone}= \text{Volume of cylinder} (From equation 1 )

Hence, It required 3 cones to fill up the cylinder with the same height and diameter.

3 0
3 years ago
Find the length of each arc. Round your answer to the nearest tenth.
Ede4ka [16]

Answer:

give the full questions please

6 0
4 years ago
What adds to 90 and multiples to 2025
umka21 [38]

45!

45 + 45 = 90

45 x 45 = 2025

8 0
3 years ago
For a moving object, the force is acting on the object varies directly with the object’s acceleration. When a force of 9 N acts
svetlana [45]

Answer:

12 Newtons

Step-by-step explanation:

We can use Newton’s Second Law to find the mass first.

F = ma

9 = 3m

mass = 3

Substitute this into the second equation.

F = ma

F = 3(4)

F = 12N

Hope this helps! :D

8 0
3 years ago
What is the rate of change for f(x)=-2cos4x-3 on the interval from x=0 to x=pi over 4
Anestetic [448]

Answer:

\frac{16}{\pi}

Step-by-step explanation:

The average rate of a function f on interval x=a to x=b is:

\frac{f(b)-f(a)}{b-a}.

a=0 and b=\frac{\pi}{4} here for this problem where f(x)=-2\cos(4x)-3.

So we will need to evaluate f for x=0 \text{ and } b=\frac{\pi}{4}.

To find f(0) we will replace x in f(x)=-2\cos(4x)-3 with 0:

f(0)=-2\cos(4(0))-3

f(0)=-2\cos(0)-3

f(0)=-2(1)-3

f(0)=-2-3

f(0)=-5

To find f(\frac{\pi}{4}) we will replace x in f(x)=-2\cos(4x)-3 with \frac{\pi}{4}:

f(\frac{\pi}{4})=-2\cos(4(\frac{\pi}{4}))-3

f(\frac{\pi}{4})=-2\cos(\pi)-3

f(\frac{\pi}{4})=-2(-1)-3

f(\frac{\pi}{4})=2-3

f(\frac{\pi}{4})=-1

So now we need to compute the change in f over the change in x:

\frac{-1-(-5)}{\frac{\pi}{4}-0}

\frac{-1+5}{\frac{\pi}{4}}

Dividing by \frac{\pi}{4} is the same as multiplying by \frac{4}{\pi}:

(-1+5)\cdot \frac{4}{\pi}

4 \cdot \frac{4}{\pi}

\frac{16}{\pi}

8 0
3 years ago
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