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Rashid [163]
3 years ago
6

Write the number in two other ways 2.0 + 0.5 + 0.04

Mathematics
1 answer:
olasank [31]3 years ago
3 0
You can do
2.54
2.5 + 0.04
2.04 + 0.5
0.54 + 2.0
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Calculus help needed!
mezya [45]

f(x)=\ln x\\\\g(x)=\ln11x=\ln11+\ln x\ \ (\ln11=const.)\\\\h(x)=\ln x^2=2\ln x\\\\p(x)=\ln3x^2=\ln 3+\ln x^2=\ln3+2\ln x\ \ (\ln3=const.)

Used:

\ln a+\ln b=\ln(ab)\\\\\ln a^n=n\log a


Functions have the same derivatives if they differ a constant.

h(x) = f(x); g(x) = f(x) + const.

h'(x) = f'(x)

g'(x) = (f(x) + const.)' = f'(x) + (const.)' = f'(x) + 0 = f'(x)

h'(x) = g'(x)


Therefore yuor answer is A. f'(x)=g'(x)



f'(x)=(\ln x)'=\dfrac{1}{x}\\\\g'(x)=(\ln11x)=\dfrac{1}{11x}\cdot11=\dfrac{1}{x}

Used:

(\ln x)'=\dfrac{1}{x}\\\\f'(g(x))=f'(g(x))\cdot g'(x)

6 0
3 years ago
If u is a unit vector, find u · v and u · w. (assume v and w are also unit vectors.) equilateral triangle
serg [7]

solution:

we know that ,

u.v = ΙuΙ ΙvΙcosθ

here,

θ =60° (since the given triangle is equilateral triangle)

u.v = ΙuΙ ΙvΙcos60°

     = 1 x 1 x 1/2

u.v = 1/2

now, u.w = ΙuΙ ΙwΙcosθ

              = ΙuΙ x cos(60x2)

u.w = -1/2


5 0
4 years ago
What is 33/84 in simplest form? And can you show the work?
yuradex [85]
33/84 in simplest form is 11/28 because you can divide top and bottom by three. Just show that you divided both numbers by three and then you will get 11/28. 
4 0
3 years ago
Warren measured a rectangular window to find out how much plastic he would need to cover it. The window measured 5 ft 6 inches b
Sedbober [7]

5 feet 6 inches is equal to ((5*12)+6) inches, which is equal to 66 inches since 5*12=60 and 60+6=66

2 feet 9 inches is equal to ((2*12)+9) inches, which is equal to 33 inches since 2*12=24 and 24+9=33

Since 66 and 33 are the length and width (there isn't any specific order as to which measurement is the length or width) and the question is asking for square inches,(which is the area) so what needs to be done next is 66*33, which equals 2178, the square inches of plastic needed is 2718 square inches.

I couldn't keep the answer in the format of _ft _in because they are asking for the area in inches, and I don't think it would be smart to convert inches to decimal values of feet for reasons I won't talk about.

So yeah, your answer is <u><em>2178 square inches of plastic.</em></u>

7 0
3 years ago
This is a gardener's floor plan of their backyard. Enter the amount of grass, in square yards
BaLLatris [955]

Answer:

39 yd^2

Step-by-step explanation:

First, we must divide the shape into quadrilaterals. The best, and easiest, way to do this is to cut along the line in the middle, below the lower 2 yd mark. This will give us a 1 yard by 3 yard rectangle, 4 yard by 8 yard rectangle, and 2 yard by 2 yard square. The next thing to do is to find the area of each location of the backyard using the A = l x w equation. 1 x 3 =  3, 2 x 2 = 4, 4 x 8 = 32. The final step is to add these individual areas, giving us 39 square yards.

3 0
3 years ago
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