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liq [111]
3 years ago
15

An artifact originally had 16 grams of​ carbon-14 present. The decay model Upper A equals 16 e Superscript negative 0.000121 t d

escribes the amount of​ carbon-14 present after t years. Use the model to determine how many grams of​ carbon-14 will be present in 6587 years.
Mathematics
1 answer:
jasenka [17]3 years ago
6 0

Answer:

7.21 grams

Step-by-step explanation:

The Decay Model is given as:

A=16e^{-0.000121 t}

When t=6587 years

The amount of grams of carbon-14 that will be present is:

A(6587)=16e^{-0.000121X6587}\\=7.21\: grams

There will be 7.21 grams of Carbon-14 after 6587 years.

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Romashka [77]

Answer:2^7 ≠ 7^2

Step-by-step explanation:

2^7 = 2 * 2 * 2 * 2 * 2 * 2 * 2

The only factor is 2

7^2 = 7 * 7

The only factor is 7

Comparing the factors when written as a repeated multiplication,

2^7 and 7^2 have no common factor :

2^7 = 2 * 2 * 2 * 2 * 2 * 2 * 2 = 128

7^2 = 7 * 7 = 49

6 0
3 years ago
What are the coordinates of the point (-3,4) after a translation of 2 units down and 5 units left
marta [7]

Answer:

(-8, 2)

Step-by-step explanation:

Start with (-3, 4).  Subtract 5 units from -3, obtaining -8, and subtract 2 units from 4, obtaining 2:  (-8, 2)

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3 years ago
Kiyo bought a pizza for 12.75 and four medium drinks at Paulis pizza. Define a variable and write an expression to represent the
Elina [12.6K]
A = cost of 1 drink $12.75 + 4a $12.75 + $12.00 = $24.75

7 0
3 years ago
Read 2 more answers
A pumpkin is launched directly upwards at 72 feet per second from a platform 12 feet high. The pumpkin's height, h, at time t se
Illusion [34]

Answer:

93 feet

Step-by-step explanation:

Let us first find the time it takes to reach the maximum height. We can do this by differentiating the height function to get velocity:

dh(t)/dt = v(t) = -32t + 72

The maximum height will occur when the velocity becomes 0. Therefore, the time it takes to reach maximum height is:

0 = -32t + 72

32t = 72

t = 72/32 = 2.25 seconds

Therefore, the maximum height of the pumpkin is:

h(2.25) = -16(2.25)^2 + 72(2.25) + 12

h(2.25) = -81 + 162 + 12

h = 93 feet

4 0
3 years ago
If the coefficient of determination is 0.9, the percentage of variation in the dependent variable explained by the variation in
vagabundo [1.1K]

Answer:

90% of the variation in the dependent variable is explained by the independent variable.

Step-by-step explanation:

We are given the following in  the question:

coefficient of determination = 0.9

We have to find the percentage of variation in the dependent variable explained by the variation in the independent variable.

Coefficient of Determination:

  • The coefficient of determination is a measure that explains and predicts the dependent variable.
  • It explains the variation in the dependent variable caused by the independent variable.
  • The coefficient of determination, also known as the R squared value and is obtained by squaring the coefficient of correlation.

\text{Coefficient of Determination} = R^2 = 0.9 = 0.9\times 100\% = 90\%

Thus, 90% of the variation in the dependent variable is explained by the independent variable.

8 0
3 years ago
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