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Novosadov [1.4K]
3 years ago
8

HELP PLS ASAP!!! Q10

Mathematics
2 answers:
ozzi3 years ago
7 0

Answer:

what question cuz I will try to help

tankabanditka [31]3 years ago
4 0

Answer:

d

Step-by-step explanation:

because if you plug it in it will only be located in the 3 quadrant

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Situation:
Arturiano [62]

Answer:

t = 6162  years

Step-by-step explanation:

Apparently you are asked to use the constant k = 0.0001 instead of the most common 0.00012. We'll answer the problem using such number you typed, but make sure that there is no omission in your typing.

The equation to use is that for carbon decay:

N(t)=N_0\,e^{-0.0001\,\,t}

If the skull contains 54% of its original amount of C14, then that means that :

N(t)=0.54 \,\,N_0

we use this to solve for the time (t) in our equation:

0.54\,\,N_0=N_0\,e^{-0.0001\,\,t}\\\frac{0.54\,\,N_0}{N_0}=e^{-0.0001\,\,t}\\0.54=e^{-0.0001\,\,t}\\ln(0.54)=-0.0001\,\,t\\t=\frac{ln(0.54)}{-0.0001} \\t=6161.86\,\,years

which rounded to the nearest year as requested gives :

t = 6162  years

8 0
3 years ago
Divide: (12x4 + 9x3 – 10x2) ÷ 3x3
Salsk061 [2.6K]

Answer: 6.111

Step-by-step explanation: first break it down

(12x4 + 9x3 – 10x2) ÷ 3x3

(48 + 27 - 20)/9

(75 - 20)/9

55/9

6.111

4 0
2 years ago
Read 2 more answers
Find the least squares regression equation using the school year (in number of years after 2000) for the input variable and the
Ad libitum [116K]

<u>Answer-</u>

<em>The least squares regression equation using the school year (in number of years after 2000) for the input variable and the average cost (in thousands of dollars) for the output variable is "y=0.937x+12.765" .</em>

<u>Solution-</u>

The independent variable / input variable= x = Number of years after 2000 ( = year-2000)

The dependent variable / output variable = y = Average cost in thousands of dollars

(The table has been attached herewith.)

To find the regression equation for a group of (x,y) points,

We have to calculate the slope and y-intercept, then we can put those values in the equation y = mx + c ( Slope - Intercept formula)

We know that,

Slope=m=\frac{N\sum xy -\sum x\sum y}{N\sum x^{2}- (\sum x)^{2}}

Putting the values from the table,

m=\frac{(8 \times 1020.206)-(52 \times 150.894)}{(8 \times 3810)-(52^2)}

( ∵ Instead of 150,894 we have to put 150.894 as we have find the line for year and thousands of dollars )

\Rightarrow m =\frac{8161.648-7846.488}{3040-2704} =\frac{315.16}{336}=0.937

Now, for the y-intercept,

c =\frac{\sum y -m(\sum x)}{N}

Putting the values,

c=\frac{150.894-(52 \times 0.937)}{8}=\frac{102.125}{8}=12.765

Now, putting the values of c and m, in the Slope-Intercept formula,

y=0.937x+12.765


3 0
3 years ago
I am a 3-digit number. If rounded off to the nearest hundreds. I become 500. If rounded off to the nearest tens, I become 540. I
dimulka [17.4K]

Answer:

535 is the cirrext answer

6 0
3 years ago
The sum of twice a number p and 6 is 12
madreJ [45]
2x + 6 hope this helps
3 0
3 years ago
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