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LenKa [72]
4 years ago
10

If m and n vary directly and m=3 when n=2, what is the value of m when n=4 no

Mathematics
1 answer:
nikklg [1K]4 years ago
7 0

Answer:

m = 6

Step-by-step explanation:

We know that m and n vary directly and that m = 3 when n = 2. How would we find m when n = 4? For starters, we can see that the value of n doubled (we know this because 2 doubled is 4), and since m and n vary directly, when n doubles, so does m so the answer is m = 3 * 2 = 6.

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A cube is built with inside dimensions of 10 inches. The material is 0.2 inches thick. Use a Taylor series approximation to find
larisa86 [58]

Answer:

V(x,y,z) ≈ 61.2 in

Step-by-step explanation:

for the function f

f(X)=x³

then the volume will be

V(x,y,z)= f(X+h) -  f(X) , where h= 0.2 (thickness)

doing a Taylor series approximation to f(x+h) from f(x)

f(X+h) - f(X) = ∑fⁿ(X)*(X-h)ⁿ/n!

that can be approximated through the first term and second

f(X+h) - f(X) ≈ f'(x)*(-h)+f''(x)*(-h)²/2 = 3*x²*(-h)+6*x*(-h)²/2

since x=L=10 in (cube)

f(X+h) - f(X) ≈ 3*x²*(-h)+6*x*(-h)²/2 = 3*L²*h+6*L*h²/2 = 3*L*h*(h+L)

then

f(X+h) - f(X) ≈  3*L*h*(h+L) = 3* 10 in * 0.2 in * ( 0.2 in + 10 in ) = 61.2 in

then

V(x,y,z) ≈   61.2 in

V real = (10.2 in)³-(10 in)³ = 61 in

8 0
3 years ago
How to solve this problem by finding x​
LekaFEV [45]

Answer:

X=140

Step-by-step explanation:

<em>Firstly, any Quadrilateral has a total sum of its angle equal to 360 degrees</em>

<em>The attachment you are showing us shows that we already know two angles</em>

<em>(70)&(60) degrees. I am assuming the line DC is a tangent, so angle ADC must be 90 degrees since a full angle on a tangent is equal to 180 degrees and there is 90 from the other side (180-90=90). Now we know 3 angles and what you have to do is find X so that when you add them all up they make a sum of 360. </em>

<em />

X+70+60+90=360

X=360-70-60-90

X=140

5 0
3 years ago
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Answer:

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Step-by-step explanation:

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Aneli [31]

Answer:

11/3 divides by 60/11 = 660/33 = 20

Step-by-step explanation:

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Step-by-step explanation:

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