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Damm [24]
4 years ago
7

X^2+x-6/x^2-6x+5 / x^2+2x-3/x^2-7x+10

Mathematics
1 answer:
Dmitry_Shevchenko [17]4 years ago
4 0

Answer:

34525

Step-by-step explanation:

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A 41 gram sample of a substance that's used to detect explosives has a k-value of 0.1392. Find the substance's half life, in day
-BARSIC- [3]

Answer:

The substance half-life is of 4.98 days.

Step-by-step explanation:

Equation for an amount of a decaying substance:

The equation for the amount of a substance that decay exponentially has the following format:

A(t) = A(0)e^{-kt}

In which k is the decay rate, as a decimal.

k-value of 0.1392.

This means that:

A(t) = A(0)e^{-0.1392t}

Find the substance's half life, in days.

This is t for which A(t) = 0.5A(0). So

A(t) = A(0)e^{-0.1392t}

0.5A(0) = A(0)e^{-0.1392t}

e^{-0.1392t} = 0.5

\ln{e^{-0.1392t}} = \ln{0.5}

-0.1392t = \ln{0.5}

t = -\frac{\ln{0.5}}{0.1392}

t = 4.98

The substance half-life is of 4.98 days.

5 0
3 years ago
Somebody help<br> 7x - [4x-3(x-1)]=x+ 12
Georgia [21]

Answer:

Step-by-step explanation:

Simplificando

7x + -1 [4x + -3 (x + -1)] = x + 12

Reordenar los términos:

7x + -1 [4x + -3 (-1 + x)] = x + 12

7x + -1 [4x + (-1 * -3 + x * -3)] = x + 12

7x + -1 [4x + (3 + -3x)] = x + 12

Reordenar los términos:

7x + -1 [3 + 4x + -3x] = x + 12

Combinar términos semejantes: 4x + -3x = 1x

7x + -1 [3 + 1x] = x + 12

7x + [3 * -1 + 1x * -1] = x + 12

7x + [-3 + -1x] = x + 12

Reordenar los términos:

-3 + 7x + -1x = x + 12

Combinar términos semejantes: 7x + -1x = 6x

-3 + 6x = x + 12

Reordenar los términos:

-3 + 6x = 12 + x

Resolviendo

-3 + 6x = 12 + x

Resolviendo para la variable 'x'.

Mueva todos los términos que contengan x hacia la izquierda, todos los demás términos hacia la derecha.

Agrega '-1x' a cada lado de la ecuación.

-3 + 6x + -1x = 12 + x + -1x

Combinar términos semejantes: 6x + -1x = 5x

-3 + 5x = 12 + x + -1x

Combinar términos semejantes: x + -1x = 0

-3 + 5x = 12 + 0

-3 + 5x = 12

Agrega '3' a cada lado de la ecuación.

-3 + 3 + 5x = 12 + 3

Combinar términos semejantes: -3 + 3 = 0

0 + 5x = 12 + 3

5 veces = 12 + 3

Combinar términos semejantes: 12 + 3 = 15

5 veces = 15

Divida cada lado por '5'.

x = 3

Simplificando

x = 3

7 0
3 years ago
The Naturally Made Bath and Body store pays $550 a month for rent and utilities. The average cost for its products to be manufac
skelet666 [1.2K]
To determine the equation to represent this situation, we can use 2.5x to show the amount of profit per product, and a y intercept value of -550 to show the cost for rent. Now, we have the equation y=2.5x-550.

The break even point is when the profits balance out the expenses, so in this case, y should equal 0.

0=2.5x-550

Add 550 to both sides...

550=2.5x

Divide both sides by 2.5...

x=220

So, our answer is 220 products.
3 0
3 years ago
Read 2 more answers
Simplify -2.3f+0.9f-14-4
Setler [38]

Answer:

The Answer would be 1.4f-18

Step-by-step explanation:

-2.3f+0.9f-14-4

then you do

-1.4f-14-4

Then u would get 1.4f-18.

7 0
3 years ago
Read 2 more answers
Solve for each missing side length. Round to the nearest tenth if a decimal.
Setler79 [48]

nada más estoy respondiendo para poder passar jmuna cosa aqui

Step-by-step explanation:

haha

6 0
3 years ago
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