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Zarrin [17]
2 years ago
12

30 is what percent of 60%

Mathematics
2 answers:
liq [111]2 years ago
8 0

Answer:

50

Step-by-step explanation:

(✿◡‿◡)

masha68 [24]2 years ago
6 0

Answer:

it's 50 percent because 30 is half of 60 which is determined as a 100 % and 30 is 50%

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What is the exterior angle?
olganol [36]

Answer:

angle YUT = 120

Step-by-step explanation:

in Triangle SUT

angle 70 + angle 50 + angle x = 180

 70 + 50 + x = 180

 120 + x = 180

 x = 180 - 120

 x = 60

angle SUT = 60



angle SUT + angle YUT = 180 ( straight line)

60 + x = 180

 x = 120


Therefore angle YUT ( exterior angle ) = 120

7 0
3 years ago
Solve for y. 9x+5y=7 <br>​
Yuliya22 [10]

Answer: y=7/5-9x/5

Step-by-step explanation:

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5 0
2 years ago
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What is the value of m in the equation ‡m - 3n=16, when n=8?
soldier1979 [14.2K]

Step-by-step explanation:

equation: m-3n=16

Solution,

or, m - 3n = 16

or, m - 3×8 = 16

or, m - 24 = 16

or, m = 16 + 24

or, m = 40

Therefore, the value of m is '40'

8 0
1 year ago
Let f(x) = 1/x^2 (a) Use the definition of the derivatve to find f'(x). (b) Find the equation of the tangent line at x=2
Verdich [7]

Answer:

(a) f'(x)=-\frac{2}{x^3}

(b) y=-0.25x+0.75

Step-by-step explanation:

The given function is

f(x)=\frac{1}{x^2}                  .... (1)

According to the first principle of the derivative,

f'(x)=lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}

f'(x)=lim_{h\rightarrow 0}\frac{\frac{1}{(x+h)^2}-\frac{1}{x^2}}{h}

f'(x)=lim_{h\rightarrow 0}\frac{\frac{x^2-(x+h)^2}{x^2(x+h)^2}}{h}

f'(x)=lim_{h\rightarrow 0}\frac{x^2-x^2-2xh-h^2}{hx^2(x+h)^2}

f'(x)=lim_{h\rightarrow 0}\frac{-2xh-h^2}{hx^2(x+h)^2}

f'(x)=lim_{h\rightarrow 0}\frac{-h(2x+h)}{hx^2(x+h)^2}

Cancel out common factors.

f'(x)=lim_{h\rightarrow 0}\frac{-(2x+h)}{x^2(x+h)^2}

By applying limit, we get

f'(x)=\frac{-(2x+0)}{x^2(x+0)^2}

f'(x)=\frac{-2x)}{x^4}

f'(x)=\frac{-2)}{x^3}                         .... (2)

Therefore f'(x)=-\frac{2}{x^3}.

(b)

Put x=2, to find the y-coordinate of point of tangency.

f(x)=\frac{1}{2^2}=\frac{1}{4}=0.25

The coordinates of point of tangency are (2,0.25).

The slope of tangent at x=2 is

m=(\frac{dy}{dx})_{x=2}=f'(x)_{x=2}

Substitute x=2 in equation 2.

f'(2)=\frac{-2}{(2)^3}=\frac{-2}{8}=\frac{-1}{4}=-0.25

The slope of the tangent line at x=2 is -0.25.

The slope of tangent is -0.25 and the tangent passes through the point (2,0.25).

Using point slope form the equation of tangent is

y-y_1=m(x-x_1)

y-0.25=-0.25(x-2)

y-0.25=-0.25x+0.5

y=-0.25x+0.5+0.25

y=-0.25x+0.75

Therefore the equation of the tangent line at x=2 is y=-0.25x+0.75.

5 0
3 years ago
5x+2y=10; (-2, 9) if -2 is x and 9 is y
Dovator [93]
What are you looking for. slope?
4 0
3 years ago
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