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2 years ago

11

Place a check mark next to each expression that is equivalent to - 2/3

2 answers:

12345 [234]2 years ago

5 0

What are the expressions

Anettt [7]2 years ago

4 0

I cant answer the question without expression

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-4/9 * -5/8 I really want to know the answer home work is due and I need a explanation

lilavasa [31]

-4/9 times -5/8 you can cross cancel the 4 and 8 so it makes the problem -1/9 times -5/2 which equals -5/18

4 0

2 years ago

Suppose that x and y are both differentiable functions of t and are related by the given equation. Use implicit differentiation

stepan [7]

Answer:

Let z = f(x, y) where f(x, y) =0 then the implicit function is

$\frac{dy}{dx} =$ $\frac{-δ f/ δ x }{δ f/δ y }$

Example:- $\frac{dy}{dx} = \frac{-(y+2x)}{(x+2y)}$

Step-by-step explanation:

<u>Partial differentiation</u>:-

Let Z = f(x ,y) be a function of two variables x and y. Then

$\lim_{x \to 0} \frac{f(x+dx,y)-f(x,y)}{dx}$ Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to x.

It is denoted by δ z / δ x or δ f / δ x

Let Z = f(x ,y) be a function of two variables x and y. Then

$\lim_{x \to 0} \frac{f(x,y+dy)-f(x,y)}{dy}$ Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to y

It is denoted by δ z / δ y or δ f / δ y

<u>Implicit function</u>:-

Let z = f(x, y) where f(x, y) =0 then the implicit function is

$\frac{dy}{dx} =$ $\frac{-δ f/ δ x }{δ f/δ y }$

The total differential co-efficient

d z = δ z/δ x + $\frac{dy}{dx}$ δ z/δ y

<u>Implicit differentiation process</u>

differentiate both sides of the equation with respective to 'x'

move all d y/dx terms to the left side, and all other terms to the right side

factor out d y / dx from the left side
Solve for d y/dx , by dividing

Example : $x^2 + x y +y^2 =1$

solution:-

differentiate both sides of the equation with respective to 'x'

$2x + x \frac{dy}{dx} + y (1) + 2y\frac{dy}{dx} = 0$

move all d y/dx terms to the left side, and all other terms to the right side

$x \frac{dy}{dx} + 2y\frac{dy}{dx} = - (y+2x)$

Taking common d y/dx

$\frac{dy}{dx} (x+2y) = -(y+2x)$

$\frac{dy}{dx} = \frac{-(y+2x)}{(x+2y)}$

7 0

3 years ago

James surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. The

Brrunno [24]

Answer:

The correct option is 4.

Step-by-step explanation:

Given information:

Bring lunch : 46 males, 254 females

Buy lunch : 176 males, 264 females

Total number of peoples is

$46+254+176+264=740$

Total number of males is

$46+176=222$

The probability of male is

$P(Male)=\frac{Males}{Total}=\frac{222}{740} =0.3$

Since probability of males is 0.3, therefore options A and C are incorrect.

Total number of persons who buys lunch is

$176+264=440$

The probability of persons who buys lunch is

$P(\text{Buys lunch})=\frac{\text{Buys lunch}}{Total}=\frac{440}{740} =\frac{22}{37}$

We need to find the probability of P(male | buys lunch).

According to the conditional probability, we get

$P(\frac{A}{B})=\frac{P(A\cap B)}{P(B)}$

P(male | buys lunch) $=\frac{P(\text{male }\cap \text{ buys lunch})}{P(\text{buys lunch})}$

P(male | buys lunch) $=\frac{\frac{176}{740}}{\frac{22}{37}}$

P(male | buys lunch) $=\frac{2}{5}=0.4$

Therefore the correct option is 4.

8 0

3 years ago

Read 2 more answers

Whst is 6296 × 72837

Mamont248 [21]

Answer:72837×6296

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Find the distance between the two points in simplest radical form.<br> (7,-1) and (9,-9)

storchak [24]

Answer:

$\sqrt{68}$

Step-by-step explanation:

(7 , -1) = (x1 , y1)

(9 , -9) = (x2 , y2)

distance formula = $\sqrt{(x2 - x1)^2 + (y2 - y1)^2}$

= $\sqrt{(9 - 7)^2 + (-9 - (-1))^2}$

= $\sqrt{2^2 + (-9 + 1)^2}$

= $\sqrt{4 + (-8)^2}$

= $\sqrt{4 + 64}$

= $\sqrt{68}$

7 0

3 years ago

Read 2 more answers