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2 years ago

What is 3.4% of 975? please help thanks!

Mathematics

1 answer:

OLEGan [10]2 years ago

4 0

You are multiplying 975 by 0.034
33.15

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Let c be the curve which is the union of two line segments, the first going from (0, 0) to (4, 4) and the second going from (4,

victus00 [196]

First of all we need to find a representation of C, so this is shown in the figure below.

So the integral we need to compute is this:

$I=\int_c 4dy-4dx$

So, as shown in the figure, C = C1 + C2, so:

$I=\int_{c_{1}} (4dy-4dx)+\int_{c_{2}} (4dy-4dx)=I_{1}+I_{2}$

Computing first integral:

$c_{1}: y-y_{0}=m(x-x_{0}) \rightarrow y=x$

Applying derivative:

$dy=dx$

Substituting this value into $I_{1}$

$I_{1}=\int_{c_{1}} (4dx-4dx)=\int_{c_{1}} 0 \rightarrow \boxed{I_{1}=0}$

Computing second integral:

$c_{2}: y-y_{0}=m(x-x_{0}) \rightarrow y-0=-(x-8) \rightarrow y=-x+8$

Applying derivative:

$dy=-dx$

Substituting this differential into $I_{2}$

$I_{2}=\int_{c_{2}} 4(-dx)-4dx=\int_{c_{2}} -8dx=-8\int_{c_{2}}dx$

We need to know the limits of our integral, so given that the variable we are using in this integral is x, then the limits are the x coordinates of the extreme points of the straight line C2, so:

$I_{2}= -8\int_{4}^{8}}dx=-8[x]\right|_4 ^{8}=-8(8-4) \rightarrow \boxed{I_{2}=-32}$

Finally:

$I=\int_c 4dy-4dx=0-32 \rightarrow \boxed{I=-32}$

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2 years ago

The height, h, of a falling object t seconds after it is dropped from a platform 300 feet above the ground is modeled by the fun

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H(x)=-16t^2+300

The average rate is the change in h divided by the change in t, mathematically:

r=(h(3)-h(0))/(t2-t1), in this case:

r=(-16*9+300-0-300)/(3-0)

r=-144/3

r= -48 ft/s

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3 years ago

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17/26 in simplest form

zzz [600]

since 17 is a prime number and 26 is not a multiple of 17

17/26 is in simplest form

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Find the surface are of the cylinder in terms of pi

Andrej [43]

Hello!

To find the surface area of a cylinder you use the equation

$SA = 2 \pi rh + 2 \pi r^{2}$

SA is surface area
r is radius
h is height

PUt in the values you know

$SA = 2 \pi (7)(18) + 2 \pi * 7^{2}$

Square the number

$SA = 2 \pi (7)(18) + 2 \pi * 49$

Multiply 7 and 18

$SA = 2 \pi * 126 + 2 \pi * 49$

Multiply 126 by 2

$SA = 252 \pi + 2 \pi * 49$

Multiply the 49 by 2

$SA = 252 \pi + 98 \pi$

Add

$SA = 350 \pi$

The answer is $A)350 \pi cm^{2}$

Hope this helps!

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