Which expression is equivalent to 0.2n +2n+4 a- 2.2n+4 b-6.2n c-4n+4 d- 2.2(n+4)

Help show work step, By step how to get the awnser

Archy [21]

Step-by-step explanation:

$8 \frac{1}{3} - 5 \frac{1}{2} = \frac{25}{3} - \frac{11}{2} = \frac{50}{6} - \frac{33}{6} = \frac{17}{6} = 2 \frac{5}{6}$

3 0

2 years ago

A competitive knitter is knitting a circular place mat. The radius of the mat is given by the formula

Ilia_Sergeevich [38]

Answer: A. $A'(t)=\frac{4356\pi}{(t+11)^{3}}-\frac{527076\pi}{(t+11)^{5}}$

B. A'(5) = 1.76 cm/s

Step-by-step explanation: Rate of change measures the slope of a curve at a certain instant, therefore, rate is the derivative.

A. Area of a circle is given by

$A=\pi.r^{2}$

So to find the rate of the area:

$\frac{dA}{dt}=\frac{dA}{dr}.\frac{dr}{dt}$

$\frac{dA}{dr} =2.\pi.r$

Using $r(t)=3-\frac{363}{(t+11)^{2}}$

$\frac{dr}{dt}=\frac{726}{(t+11)^{3}}$

Then

$\frac{dA}{dt}=2.\pi.r.[\frac{726}{(t+11)^{3}}]$

$\frac{dA}{dt}=2.\pi.[3-\frac{363}{(t+11)^{2}}].\frac{726}{(t+11)^{3}}$

Multipying and simplifying:

$\frac{dA}{dt}=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}$

The rate at which the area is increasing is given by expression $A'(t)=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}$ .

B. At t = 5, rate is:

$A'(5)=\frac{4356\pi}{(5+11)^{3}} -\frac{527076\pi}{(5+11)^{5}}$

$A'(5)=\frac{4356\pi}{4096} -\frac{527076\pi}{1048576}$

$A'(5)=\frac{2408693760\pi}{4294967296}$

$A'(5)=1.76268$

At 5 seconds, the area is expanded at a rate of 1.76 cm/s.

5 0

2 years ago

What does p equal when p=210e^(0.0069*20)?

Korolek [52]

p=210e^(0.0069*20)
'e' is a mathematical constant equal to 2.718281828459

0.0069*20 = .138

e^.138 =

2.718281828459^.138 =

 1.1479755503 
210 * 1.1479755503 =

 241.074865563

5 0

2 years ago

Which series of transformations will ALWAYS form an image that is congruent to its pre-image? Select all that apply.

d1i1m1o1n [39]

Rotation, reflection, translation

7 0

2 years ago

What fraction is equal to 1/5? 4/7 , 6/30 , 5/15

Zolol [24]

There are a lot of fraction that can be equal to the values given above. It can be as follows:

1/5 = 2/10, 3/15, 4/20, 5/25, 6/30, 7/35, 8/40

4/7 = 8/14, 12/21, 16/28

6/30 = 12/60, 18/90, 24/120

5/15 = 1/3 , 10/30, 20/60

Hope this helps. Have a nice day.

6 0

3 years ago

Which expression is equivalent to 0.2n +2n+4a- 2.2n+4b-6.2nc-4n+4d- 2.2(n+4)