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nlexa [21]
2 years ago
14

Pls pls pls pls help

Mathematics
1 answer:
Nady [450]2 years ago
7 0
I think the answer is 2
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Ralph’s classroom measures 12 meters in length. What is the length of the classroom in millimeters?
In-s [12.5K]

Answer:

b. 12 000 mm

Step-by-step explanation:

multiply by 1 000

5 0
2 years ago
The function that represents bruce’s elevation in feet over time in hours is an exponential function that starts at 1,505 feet.
Strike441 [17]

Answer:

<h3>The function for Bruce’s elevation is f(x)=1505(6)^x and because b=6 that is greater than 0, it is an exponential growth function.</h3>

Step-by-step explanation:

We are given initial Bruce’s elevation = 1,505 feet.

Each successive hour, his average elevation change for the hike becomes 6 times the previous hourly elevation change.

We know, the exponential function f(x)=a(b)^x, where a is the initial value, b is the growth factor and x is the exponent represents time in hours.

Therefore, initial value a=1505, growth factor b for exponential function f(x)=a(b)^x is 6.

Plugging a=1505 and b=6 in f(x)=a(b)^x , we get

f(x)=1505(6)^x

Also note, if b>0, it would be an exponential growth function.

<h3>Therefore, the function for Bruce’s elevation is f(x)=1505(6)^x and because b=6 that is greater than 0, it is an exponential growth function.</h3>
8 0
3 years ago
write 700/200 as a terminating decimal. then describe two methods for converting a mixed number to a decimal
zhuklara [117]
\frac{700}{200}=\frac{7}{2}\\\\\#1\\\frac{7}{2}=3\frac{1}{2}=3\frac{5}{10}=3.5\\\\\#2\\\frac{7}{2}=\frac{6+1}{2}=\frac{6}{2}+\frac{1}{2}=3+\frac{1}{2}=3+0.5=3.5\\\\\underline{0.5}\\1:2\\\underline{0}\\10\\\underline{10}\\R=0

5 0
3 years ago
Sarah polled 40 randomly selected students at her high school and found that 20% ( = 0.2) are happy with the quality of the cafe
Anna71 [15]
Given:
n = 40, sample size
Confidence level = 99% => z* = 2.58
\hat{p} = 20\%=0.2, sample proportion.

By definition, the margin of error is
z^{*} \sqrt{ \frac{\hat{p}(1-\hat{p})}{n} } = 2.58 \sqrt{ \frac{(0.2)(0.8)}{40} }= 0.1632

Answer:
According to Sarah's poll, she can conclude with 99% confidence level that 20% of the high school population is happy with the quality of the cafeteria food, with a margin of error of +/- 16.3%.

5 0
3 years ago
Read 2 more answers
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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