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3 years ago

1/4 + 2/3. Can anybody help me solve this?

Mathematics

2 answers:

weqwewe [10]3 years ago

8 0

Answer:

11/12

Step-by-step explanation:

Multiply 1/4 times 3/3 and 2/3 times 4/4. That gives you 3/12 + 8/12. Add that together and you get 11/12

Sidana [21]3 years ago

7 0

¼ + ⅔ = 11/12

Step-by-step explanation:

$\begin{aligned}\frac{1}{4}+\frac{2}{3}&=\frac{3+8}{12}\\&=\bf\frac{11}{12}\end{aligned}$

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Given:

The equation of the curve is:

$y=x^{\frac{5}{2}}$

To find:

The gradient of the given curve at the point where $x = 4$ .

Solution:

We have,

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Differentiate with respect to x.

$y'=\dfrac{5}{2}x^{\frac{5}{2}-1}$ $[\because \dfrac{d}{dx}x^n=nx^{n-1}]$

$y'=\dfrac{5}{2}x^{\frac{3}{2}}$

Substituting $x=4$ , we get

$y'=\dfrac{5}{2}(4)^{\frac{3}{2}}$

$y'=\dfrac{5}{2}(2^2)^{\frac{3}{2}}$

Using properties of exponents, we get

$y'=\dfrac{5}{2}(2)^{2\times \frac{3}{2}}$ $[\because (a^m)^n=a^{mn}]$

$y'=\dfrac{5}{2}(2)^{3}$

$y'=\dfrac{5}{2}(8)$

$y'=20$

Therefore, the gradient of the given curve at the point where $x = 4$ is 20.

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3 years ago

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Step-by-step explanation:

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an = a1 +d(n -1)

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The 29th term will be ...

a29 = 182 -6(29 -1)

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