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3 years ago

Multiply: Using FOIL method (x-8)^3

1 answer:

6 0

(x - 8)³
(x - 8)(x - 8)(x - 8)
(x² - 8x - 8x + 64)(x - 8)
(x² - 16x + 64)(x - 8)
(x³ - 8x² - 16x² + 128x + 64x - 512)
x³ - 24x² + 192x - 512

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Lucy si thinking of a Numbers. The number is greater than two hundred twenty-five. Her number is less than 2 hundreds,2 tens, an

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226 i believe, if not then idk

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3 years ago

Situation:A researcher in North America discoversa fossile that contains 65% of its originalamount of C-14..-ktN=NoeNo inital am

zheka24 [161]

SOLUTION

We have been given the equation of the decay as

$\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}$

So we are looking for the time

Plugging the values into the equation, we have

$\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}$

Taking Ln of both sides, we have

$\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}$

Hence the answer is 4308 to the nearest year

8 0

1 year ago

Maria and Nate graphed lines on a coordinate plane. Maria's line is represented by the equation y = -5/6x +8. Nate's line is per

likoan [24]

Answer:

Option C: 6x-5y=15

Explanation:

y = -5/6x +8

8 is the y-intercept

-5/6x is the slope

when a slope is in fraction form the numerator is the y direction over the denominator how much the line changes in the x direction

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*: (=' :') this

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6 0

3 years ago

100^a x 1000^b can be written in the form 10^w Show that w = 2a + 3b

Elena L [17]

$100^a \time 1000^b = 10^{2a} \times 10^{3b} = 10^{2a + 3b}$

$10^{w} = 10^{2a + 3b}$

$w = 2a + 3b \text { (shown)}$

3 0

3 years ago

How would I solve <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20x-%5Cfrac%7B5%7D%7B3%7D%20%3D-%5Cfrac%7B1%7D%7B2%7D%

sdas [7]

Multiply both sides of the equation by 12. Move the variables to the left-hand side and change its sign. Move the constant to the left-hand side and change its sign. Collect like terms. Add the numbers. Divide both sides of the equation by 12.

1/2 x - 5= - 1/2 x + 19/4
6x -20= - 6x + 57
6x + 6x= 57 + 20
12x= 57 + 20
12x= 77
ANSWER
x = 77/12
Alternative Form .
x = 6 5/12, x= 6.416

7 0

3 years ago

Read 2 more answers