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3 years ago

How many terms are in the following variable expression? 3m-2n-3

Mathematics

1 answer:

alex41 [277]3 years ago

4 0

Answer: 3m and 2n

Step-by-step explanation:

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Twenty more than half a number is 70. What is the number

astraxan [27]

Answer:

100

Step-by-step explanation:

we start by subtracting 20 from 70, which is 50

we double 50 to get 100

5 0

3 years ago

Read 2 more answers

Please help with this question.

Aneli [31]

Answer:

if I have my calculations right it would be £120

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3 years ago

Find the velocity v(t)v(t) and speed ∥v(t)∥∥v(t)∥ of a particle whose motion is described by x=6t3−9t2,y=3,z=2t2−4t+2

Nesterboy [21]

Let $\mathbf p(t)=(x(t),y(t),z(t))$ denote the particle's position. Then its velocity is given by

$\mathbf v(t)=\dfrac{\mathrm d\mathbf p}{\mathrm dt}=(x'(t),y'(t),z'(t))$
$\mathbf v(t)=(18t^2-18t,0,4t-4)$

The speed is then given by the absolute value/magnitude/norm of the velocity function,

$\|\mathbf v(t)\|=\sqrt{(18t^2-18t)^2+(4t-4)^2}$

7 0

3 years ago

Prove that for any natural n the number 3^(n+4)−3n is divisible by 16.

Pani-rosa [81]

Answer:

Step-by-step explanation:

Prove that for any natural number 3^(n+4)-3n is divisible by 16.

(I'm going to assume that you mean 3^(n+4)-3^n.)

1. We can break up 3^(n+4)-3n into 3^n * 3^4-3^n (by the rule a^b*a^c = a^b+c).

2. Solve to get 3^n * 81 - 3^n

3. Factor out the 3^n, and you'll get 3^n(81-1), and simplify: 3^n(80)

You may notice that 80 is divisible by 16.

4. Rewrite what we got from the last step as: 3^n*5(16).

Hope this helped you!

3 0

3 years ago

A truck with 36-in.-diameter wheels is traveling at 55 mi/h.

kkurt [141]

Answer:

The angular speed is 3,227 rad/min

Step-by-step explanation:

Remember that

1 mile=63,360 inches

step 1

Find the circumference of the wheels

The circumference is equal to

$C=\pi D$

we have

$D=36\ in$

substitute

$C=\pi (36)$

$C=36\pi\ in$

step 2

we know that

The speed of the wheel is 55 mi/h

Convert to mi/min

55 mi/h=55/60 mi/min

Convert to in/min

(55/60) mi/min=55*63,360/60 in/min= 58,080 in/min

we know that

The circumference of the wheel subtends a central angle of 2π radians

using proportion

Find out how much radians are 58,080 inches

$\frac{36\pi }{2\pi }=\frac{58,080}{x} \\\\x=2*58,080/36\\\\x=3,226.67 \ rad$

therefore

The angular speed is 3,227 rad/min

6 0

3 years ago