5712 milligrams

0.005712 kilograms

## Related Questions

………………………………….. IF A + B = 0 , they are the additive inverse of each other.

Multiplicative Inverse.- If two numbers are multiplied together and the product is one. They are the multiplicative inverse of each other, also called reciprocal.

………………………………….. A.B = 1 , they are the multiplicative inverse of each other.

Example of:

Additive inverses :……………. 5 + ( – 5 ) = 0

Multiplicative inverses………..5 x 1/5 = 1

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Rational expressions (for what value of x is the rational expression below undefined)? 3x-12/9-x …?

**Answer:**

**For x = 9 the given rational expression is undefined.**

**Step-by-step explanation:**

Given rational expression

We have to find for what value of x is the given rational expression is undefined.

Consider the given rational expression

**For a fractional expression to be undefined the denominator has to be zero, so that **

**Thus, for the given expression **

Denominator is 9-x

Thus, to make it not defined, Put 9 – x = 0

**⇒ x = 9**

**Thus, for x = 9 the given rational expression is undefined.**

1J, 2J, 3J, ……………29D, 30D, 31D = 365 days

2 4 6 ………………………………….

let be S the value of entire savings

S= Sum 2K= 2 Sum K = 2 [365(365+1) / 2],

1<K<365 1<K<365

because Sum K = n(n+1) /2

1<K<n

finally S= 133590 pennies

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3x + y + 5z = 19

2x − y − 2z = −17

-3x+3y-6z=-3

3x + y + 5z = 19

4y-z=16 (1)

-2x+2y-4z=-2

2x − y − 2z = −17

y-6z=-19 (2)

4y-z=16 (1)

y-6z=-19 (2)

4y-z=16

-4y+24z=76

23z=92

z=4

y-6z=-19

y-6×4=-19

y-24=-19

y=24-19

y=5

x − y + 2z = 1

x-5+2×4=1

x-5+8=1

x+3=1

x=-2

(x,y,z)=(-2,5,4)

The expression below is a sum of cubes. 125×3 + 144 A.True B.False …?

An expression is a sum of cubes if it can be written in form of a³ + b³, where a and b can be any constant/variables.

So, this means the given expression 125x³ + 144 can only be sum of cubes if the both the terms i.e. 125x³ and 144 are perfect cubes.

125x³ = (5x)³ . This means 125x³ is a perfect cube. However, 144 is not a perfect cube.

**Hence we can conclude that the expression 125x³ + 144 is not a sum of cubes. So the answer to this question if FALSE**

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**Answer:**

**option (c) is correct,**

** is the equivalent fraction to the given expression **

**Step-by-step explanation:**

Given expression ,

We have to choose an equivalent fraction from the given options.

**Consider expression (c) , **

**Taking LCM , Multiply by (x+5) , we get,**

**On solving , we get,**

**On simplifying, we get,**

Which is equal to the given expression.

**Thus, option (c) is correct,**

** is the equivalent fraction to the given expression **

Step 1. Calculate the diameter of the circle (d).

Step 2. Calculate the radius of the circle (r).

Step 3. Calculate the area of the circle (A1).

Step 4. Calculate the area of the square (A2).

Step 5. Calculate the difference between two areas (A1 – A2) and divide it by 4 (because there are total 4 segments) to get **the area of one segment** formed by a square with sides of 6″ inscribed in a circle.

Step 1:

The diameter (d) of the circle is actually the diagonal (D) of the square inscribed in the circle. The diagonal (D) of the square with side a is:

D = a√2 (ratio of 1:1:√2 means side a : side a : diagonal D = 1 : 1 : √2)

If a = 6 in, then D = 6√2 in.

d = D = 6√2 in

Step 2.

The radius (r) of the circle is half of its diameter (d):

r = d/2 = 6√2 / 2 = 3√2 in

Step 3.

The area of the circle (A1) is:

A = π * r²

A = 3.14 * (3√2)² = 3.14 * 3² * (√2)² = 3.14 * 9 * 2 = 56.52 in²

Step 4.

The area of the square (A2) is:

A2 = a²

A2 = 6² = 36 in²

Step 5:

(A1 – A2)/4 = (56.52 – 36)/4 = 20.52/4 = 5.13 in²

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so the tax on the item with a price p is:

t=(12 x p) /100

the total price of the item, including tax

let be T=the total price, including tax

so T= t+p, where t=(12 x p) /100

so T = 112p/100

he total price, including tax, of an item that costs 75.

by using T = 112p/100,

we can get T= 112 x 75 / 100, T=84

the problem is not difficult, so as fo me it is obvious

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