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2 years ago

What's another way to write 2^6? A. 2•6 B. 6•2 C. 2•2•2•2•2•2 D. 6•6

Mathematics

2 answers:

Alika [10]2 years ago

6 0

Answer:

Step-by-step explanation:

Art [367]2 years ago

6 0

Answer:

C. 2•2•2•2•2•2

Step-by-step explanation:

Exponents show how many times a number is being multiplied by itself.

For $2^6$ you would have to multiply 2 by itself 6 times. Thus getting 64 in the end.

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A filter filled with liquid is in the shape of a vertex-down cone with a height of 9 inches and a diameter of 6 inches at its op

Alina [70]

Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

Step-by-step explanation:

Since we have given that

Height = 9 inches

Diameter = 6 inches

Radius = 3 inches

So, $\dfrac{r}{h}=\dfrac{3}{9}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}h$

Volume of cone is given by

$V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \dfrac{1}{9}h^2\times h\\\\V=\dfrac{1}{27}\pi h^3$

By differentiating with respect to time t, we get that

$\dfrac{dv}{dt}=\dfrac{1}{27}\pi \times 3\times h^2\dfrac{dh}{dt}=\dfrac{1}{9}\pi h^2\dfrac{dh}{dt}$

Now, the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie $\dfrac{dv}{dt}=-4\ in^3$

and h = 2 inches deep.

$-4=\dfrac{1}{9}\times \pi\times (2)^2\dfrac{dh}{dt}\\\\-9\pi =\dfrac{dh}{dt}\\\\-28.28=\dfrac{dh}{dt}$

Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

7 0

3 years ago

What are skew lines and parallel lines

Leni [432]

Two or more lines are parallel when they lie in the same plane and never intersect. The symbol for parallel is ||. To mark lines parallel, draw arrows (>) on each parallel line. If there are more than one pair of parallel lines, use two arrows (>>) for the second pair. The two lines below would be labeled AB←→ || MN←→− or l || m.

For a line and a point not on the line, there is exactly one line parallel to this line through the point. There are infinitely many lines that pass through A, but only one is parallel to l.

6 0

3 years ago

Read 2 more answers

Evaluate the expression when a=3, b=2, and c=12

dimaraw [331]

Answer:

Step-by-step explanation:

6 + a

Putting value of a

6 + 3 = 9

Putting value of b

5(2) = 10