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3 years ago

10 POINTS. NEED THIS ASAP!!

Mathematics

2 answers:

irinina [24]3 years ago

8 0

Answer:

24.2

Step-by-step explanation: Yeah, Yeah.. I know I'm late but I hope it'll help others! :D

zubka84 [21]3 years ago

5 0

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------$

$\bf f(x)= \cfrac{1}{2}(3)^x \qquad 
\begin{cases}
x_1=0\\
x_2=5
\end{cases}\implies \cfrac{f(5)-f(0)}{5-0}
\\\\\\
\cfrac{\frac{1}{2}(3)^5~~-~~\frac{1}{2}(3)^0}{5}\implies \cfrac{\frac{3^5}{2}~~-~~\frac{1}{2}}{5}\implies \cfrac{\frac{243}{2}-\frac{1}{2}}{5}
\\\\\\
\cfrac{\frac{243-1}{2}}{\frac{5}{1}}\implies \cfrac{\frac{242}{2}}{\frac{5}{1}}\implies 
\cfrac{242}{2}\cdot \cfrac{1}{5}\implies \cfrac{242}{10}\implies \cfrac{121}{5}$

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A painting measures 40cm by 35cm.how many squared cm does its surface cover?

Anuta_ua [19.1K]

Answer:

1400 cm squared

Step-by-step explanation:

40*35=1400cm squared

5 0

4 years ago

he radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost

elena-s [515]

Answer:

The bones were 12,485 years old at the time they were discovered.

Step-by-step explanation:

Amount of the element:

The amount of the element after t years is given by the following equation, considering the decay rate proportional to the amount present:

$A(t) = A(0)e^{-kt}$

In which A(0) is the initial amount and k is the decay rate, as a decimal.

The radioactive element carbon-14 has a half-life of 5750 years.

This means that $A(5750) = 0.5A(0)$ , and we use this to find k. So

$A(t) = A(0)e^{-kt}$

$0.5A(0) = A(0)e^{-5750k}$

$e^{-5750k} = 0.5$

$\ln{e^{-5750k}} = \ln{0.5}$

$-5750k = \ln{0.5}$

$k = -\frac{\ln{0.5}}{5750}$

$k = 0.00012054733$

$A(t) = A(0)e^{-0.00012054733t}$

A scientist determined that the bones from a mastodon had lost 77.8 % of their carbon-14. How old were the bones at the time they were discovered?

Had 100 - 77.8 = 22.2% remaining, so this is t for which:

$A(t) = 0.222A(0)$

Then

$0.222A(0) = A(0)e^{-0.00012054733t}$

$e^{-0.00012054733t} = 0.222$

$\ln{e^{-0.00012054733t}} = \ln{0.222}$

$-0.00012054733t = \ln{0.222}$

$t = -\frac{\ln{0.222}}{0.00012054733}$

$t = 12485$

The bones were 12,485 years old at the time they were discovered.

8 0

3 years ago

The proportion of students who own a cell phone on college campuses across the country has increased tremendously over the past

galina1969 [7]

Complete Question

The complete question is shown on the uploaded image

Answer:

1 ) The correct option B

2) The correct option is C

3) The correct option is C

4) The correct option is C

Step-by-step explanation:

From the question we are told that

The proportion that own a cell phone is $p = 0.90$

The sample size is n = 15

Generally the appropriate distribution for X is mathematically represented as

$X \ is \ B( n , p )$

$X \ is \ B( 15 , 0.90 )$

Generally the number students that own a cell phone in a simple random sample of 15 students is mathematically represented as

$\mu = n * p$

$\mu = 15 * 0.90$

$\mu = 13.5$

Generally the standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is mathematically represented as

$\sigma = \sqrt{ n * p * q }$

Where q is mathematically evaluated as

$q = 1- p$

$q = 1- 0.90$

$q = 0.10$

$\sigma = \sqrt{ 15 * 0.90 * 0.10 }$

$\sigma = 1.16$

Generally the probability that all students in a simple random sample of 15 students own a cell phone is mathematically represented as

$P(X = 15) = \left 15} \atop {}} \right.C_{15} * p^{15} * q^{15 - 15}$

$P(X = 15) = \left 15} \atop {}} \right.C_{15} * (0.90)^{15} * (0.10 )^{15 - 15}$

From the combination calculator is $\left 15} \atop {}} \right.C_{15} = 1$

$P(X = 15) = 1 * 0.205891 * 1$

$P(X = 15) = 0.206$

7 0

3 years ago

A circle has an 18 inch radius and a shaded sector with a central angle of 50 degrees. What is the area of the shaded sector

Katyanochek1 [597]

Answer: The area of the sector will be about 141.3 square inches.

First, we need to find the area of the entire circle. The formula is pi(r^2). Inputting 18 for the radius makes the area of the circle about 1017.36 square inches.

Now, we multiply by the area by the size of the sector. It is 50 degree out of the entire 360 degrees. That is about 13.9%.

Multiply 13.9% by 1017.36 to get an area of about 141.3 square inches for the sector.

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3 years ago

PLEASE HELP TEST.

butalik [34]

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3 years ago