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postnew [5]
3 years ago
8

The sum of the numbers X, Y, and Z is 40. The ratio of X to Y is 1:2 and the ratio of Y to X is 2:5. What is the value of Y?​

Mathematics
1 answer:
Elena-2011 [213]3 years ago
4 0

Step-by-step explanation:

Since X : Y = 1 : 2, X = 0.5Y.

Since Y : Z = 2 : 5, Z = 2.5Y.

We have X + Y + Z = 4Y = 40. Hence Y = 10.

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How to differentiate y=x^n using the first principle. In this question, I cannot use the rule of differentiation. I have to do t
Zarrin [17]

By first principles, the derivative is

\displaystyle\lim_{h\to0}\frac{(x+h)^n-x^n}h

Use the binomial theorem to expand the numerator:

(x+h)^n=\displaystyle\sum_{i=0}^n\binom nix^{n-i}h^i=\binom n0x^n+\binom n1x^{n-1}h+\cdots+\binom nnh^n

(x+h)^n=x^n+nx^{n-1}h+\dfrac{n(n-1)}2x^{n-2}h^2+\cdots+nxh^{n-1}+h^n

where

\dbinom nk=\dfrac{n!}{k!(n-k)!}

The first term is eliminated, and the limit is

\displaystyle\lim_{h\to0}\frac{nx^{n-1}h+\dfrac{n(n-1)}2x^{n-2}h^2+\cdots+nxh^{n-1}+h^n}h

A power of h in every term of the numerator cancels with h in the denominator:

\displaystyle\lim_{h\to0}\left(nx^{n-1}+\dfrac{n(n-1)}2x^{n-2}h+\cdots+nxh^{n-2}+h^{n-1}\right)

Finally, each term containing h approaches 0 as h\to0, and the derivative is

y=x^n\implies y'=nx^{n-1}

4 0
3 years ago
Twice the sum of two consecutive integers equals 42
Marianna [84]
Hello,

Let's assume n the first integer
n+1 the greater
n+(n+1)=2n+1 is odd but 42 (universel answer in Robots IE) is even!!!!
Not answer!

6 0
3 years ago
Some one help ASAP PLEASE <br> Which expression represents 7 times the diffrence between 300 and 28?
pickupchik [31]

Answer:

Answer

Step-by-step explanation:

300-28= g x 7

4 0
3 years ago
Bobby is making a cake. The recipe calls for 1( 3)/(4) cups of flour for every( 1)/(8) cups of sugar. How many cups of flour is
PilotLPTM [1.2K]

Answer:

5 cups

Step-by-step explanation:

To get 1 cup of sugar, u must add 1/8 by 8. now you have one cup of sugar. But to find out how much flour u need, u also need to multiply 1 3/4 by 8, which gives u 5 cups

5 0
3 years ago
Read 2 more answers
The figure below shows the circle inside of a square if the radius of the circle Is 8cm find the following by showing the formul
Goryan [66]
A. The circumference of the circle:
C = 2 π r = 2 * 3.14 * 8 = 50.24 cm

B. The area of the circle:
A = π r² = 3.14 * 8² = 200.96 cm²

C. The area of the square:
Let's calculate first the side of the square. It is equal to 2r = 2*8=16 cm

The area of the square is:
16*16 = 256 cm²

Hope that helps.
7 0
4 years ago
Read 2 more answers
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