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Ksivusya [100]
3 years ago
15

11.Use the exponential regression equation that best fits the data

Mathematics
2 answers:
Marysya12 [62]3 years ago
6 0

Answer:

73.5 ....................

GarryVolchara [31]3 years ago
3 0

Answer:

B. 73.5

Step-by-step explanation:

Using Excel (you can use similar software or a scientific calculator) we get the figure attached. After adding the trend line, we get that the equation that best fits the data is:

y = 0.0034*e^(0.7129*x)

Replacing with x = 14 we get:

y = 0.0034*e^(0.7129*14)

y = 73.5

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Which of the following is the correct expanded form for the series below?
Daniel [21]

Answer: Option A is correct  that is 1 +1+\frac{1}{2} +\frac{1}{6}

Explanation:

we will substitute the values of n in given expression

\sum_{n=1}^{4}\frac{n}{n!}

when substituting n=1 we get  in \sum_{n=1}^{4}\frac{n}{n!}=\frac{1}{1!}

when n=2  we get \frac{2}{2!}

when n =3 we get \frac{3}{3!}=\frac{3}{6}=\frac{1}{2} ;3 factorial that is 3! = 3 *2*1 = 6

when n=4 we get  \frac{4}{4!}=\frac{4}{24}=\frac{1}{6};4! = 4*3*2*1 = 24

Note: factorial means the product of the terms getting multiplied  till 1

suppose n! will be equal to n(n-1)(n-2)(n-3).......1




3 0
3 years ago
The diagram shows a solid triangular prism. Height 6cm width 4cm length 10cm the prism is made from wood with a density of 0.8 g
miss Akunina [59]

Answer:

192g3

Step-by-step explanation:

Step 1 find the volume

6×4×10=240

Step 2 find the mass

240× 0.8g/cm3= 192g3

7 0
3 years ago
WILL PICK BRAINLIEST
Nady [450]

Answer:

12²2222 is the annswer

Step-by-step explanation:

i don't lnow

4 0
2 years ago
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adoni [48]

Answer:

the answer is c

Step-by-step explanation:

6 0
2 years ago
An Archaeologist in Turkey discovers a spear head that contains 79% of its original amount of C-14. Find the age of the spear he
agasfer [191]

Answer:

The age of the spear head is of 1938 yers.

Step-by-step explanation:

The amount of carbon 14 after years is given by the following equation:

Q(t) = Q(0)e^{-rt}

In which Q(0) is the initial amount and r is the decay rate.

The half life of carbon 14 is 5700 years.

This means that Q(5700) = 0.5Q(0)

So

Q(t) = Q(0)e^{-rt}

0.5Q(0) = Q(0)e^{-5700r}

e^{-5700r} = 0.5

\ln{e^{-5700r}} = \ln{0.5}

-5700r = \ln{0.5}

5700r = -\ln{0.5}

r = -\frac{\ln{0.5}}{5700}

r = 0.00012160476

So

Q(t) = Q(0)e^{-0.00012160476t}

We have to find:

t for which Q(t) = 0.79Q(0). So

Q(t) = Q(0)e^{-0.00012160476t}

0.79Q(0) = Q(0)e^{-0.00012160476t}

e^{-0.00012160476t} = 0.79

\ln{e^{-0.00012160476t}} = \ln{0.79}

-0.00012160476t = \ln{0.79}

0.00012160476t = -\ln{0.79}

t = \frac{-\ln{0.79}}{0.00012160476}

t = 1938.43

Rounding to the nearest year.

The age of the spear head is of 1938 yers.

8 0
3 years ago
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