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3 years ago

1/2 + 1/3 equals? what?

Mathematics

1 answer:

irinina [24]3 years ago

5 0

1/2 + 1/3 = 1/6 or <span>0.166667</span>

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Jan is 2/3 of Karyn's age. Jan's age 8 years ago is 2/5 of Katyn's age 4 yeats from now. Jan is how many younger than Karyn?

Elden [556K]

Answer:

12 years younger.

Step-by-step explanation:

Let Jan's age be J and Karyn's age be K.

$J= \frac{2}{3} K$

Jan's age 8 years ago is 2/5 of Karyn's age 4 yeaRs from now.

$J-8 = \frac{2}{5} (K+4)$

=> $(\frac{2}{3} - \frac{2}{5} ) K = \frac{8}{5} + 8$

=> 4K = 48 X 3

=> K= 36.

=> J= 24.

So Jan is 12 years younger.

8 0

3 years ago

Calculate the Difference Quotient for f(x)=2x^2-3

Dafna11 [192]

Answer:

Calculate the Difference Quotient for f(x)=2x^2-3

Find f(x+h) and f(x), and plug these values into the difference quotient formula.

7 0

3 years ago

Find the directional derivative of f at the given point in the direction indicated by the angle θ.

anygoal [31]

Answer:

Directional derivative = 1/√2

Step-by-step explanation:

We are given f(x, y) = y cos(xy)

Now, we know that;

∇f(x, y) = ycos xy

Thus, applying that to the question, we have;

∇f(x, y) = [-y² sin xy, cos (xy) - xy sin xy]

At coordinates (0,1),we now have;

∇f(0, 1) = [-1²•sin0, (cos 0) - 0]

∇f(0, 1) = [0, 1]

Now, unit vector indicated by the angle θ is given as; u = [cos θ, sin θ]

From the question, since θ = π/4, thus

u = [cos π/4, sin π/4]

Cos π/4 in surd form is; 1/√2

Also, sin π/4 in surd form is; 1/√2

So, u = [1/√2, 1/√2]

Directional derivative = [∇f(0, 1)] • u

= [0, 1] × [1/√2, 1/√2] = 0 + 1/√2 = 1/√2

4 0

2 years ago

Find the area of this shape. Correct answer will Brainliest

Iteru [2.4K]

Answer:

As shown in picture, this is a trapezoid.

The area of a trapezoid is calculated by:

A = (base1 + base2) x height x (1/2)

To work out A, we need to find out base1, base2, and height.

base1 = YZ = $\sqrt{(Zx - Yx)^{2} + (Zy - Yy)^{2} } = \sqrt{(5 - 2)^{2} + (5 - 5)^{2} } = 3$

base2 = XW = $\sqrt{(Wx - Xx)^{2} + (Wy - Xy)^{2} } = \sqrt{(8 - 1)^{2} + (1 - 1)^{2} } = 7$

Otherwise, the height (distance between base1 and base2) is 4 as shown in picture.

=> A = (3 + 7) x 4 x (1/2) = 20

Hope this helps!

6 0

3 years ago

What is 20/10 as a whole number

iren2701 [21]

20/10 is same as 20:10 so the whole number is 2

4 0

2 years ago

Read 2 more answers