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olchik [2.2K]
4 years ago
7

The next term in 3, 12, 48, 192,768,...

Mathematics
2 answers:
geniusboy [140]4 years ago
3 0

3 * 4 = 12

12 * 4 = 48

48 * 4 = 192

192 * 4 = 768

The next number in the sequence is  the previous number multiplied by 4:

The next number would be 768 x 4 = 3072

Basile [38]4 years ago
3 0

Answer:

3072

Step-by-step explanation:

Pattern Rule: Multiply by 4

So, multiply 768 by 4:

4 \times 768 = 3072

I am joyous to assist you anytime.

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Answer: 15

Step-by-step explanation: Pythagorean theorem

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Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (Enter
babunello [35]

Answer:

The curve is given by r(s)=3\frac{s}{\sqrt{29}}  i + (7 - 4\frac{s}{\sqrt{29}} ) j + (3 + 2\frac{s}{\sqrt{29}} ) k

Step-by-step explanation:

The aec length of the curve is given by:

L=\int\limits^t_0 {|r'(t)|} \, dt

r(t) = 3t i + (7 − 4t) j + (3 + 2t) k

r'(t)= 3 i -4 j + 2 k

|r'(t)|= \sqrt{3^2+(-4)^2+2^2} =\sqrt{9+16+4} =\sqrt{29}

L=\int\limits^t_0 {\sqrt{29}} \, dt=\sqrt{29}\int\limits^t_0 \, dt

L=\sqrt{29}t|^t_0=\sqrt{29}t-\sqrt{29}0=\sqrt{29}t

s(t)=\sqrt{29}t

We have to obtain t in terms of s, hence:

t=\frac{s}{\sqrt{29}}

Finally,

r(s)=3\frac{s}{\sqrt{29}}  i + (7 - 4\frac{s}{\sqrt{29}} ) j + (3 + 2\frac{s}{\sqrt{29}} ) k

8 0
3 years ago
The volume of a cylinder whose base,area is 500sq.cm and height is 14 cm is cu.cm ​
Allisa [31]
<h3>\huge\bigstar\:\Huge\tt\underline\blue{ANSWER}</h3><h3 /><h3 /><h3>The area is 7000.</h3>

\huge\bigstar\:\Huge\tt\underline\red{EXPLAINATION}

The base of the cylinder = 5000 sq.cm

Height = 14cm

The volume of the cylinder = 5000× 14 = 7000

<h3>HOPE IT HELPS YOU :)</h3>
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4 years ago
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Axis of symmetry of x^2-8x+12
Molodets [167]
The axis of symmetry would be x=4.

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