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ArbitrLikvidat [17]
3 years ago
8

5. The half-life of Po-210 is 140 days. If the initial mass of the sample is 5

Mathematics
1 answer:
Anit [1.1K]3 years ago
6 0

Answer:

1.25kg

Step-by-step explanation:

useing the problem the half life equation will be:

f(x)=5(0.5)^(x/140)

x is amount of days

so plugging in 280 for x will get 1.25kg

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If mRS=x then write an equation that could be used to solve for x and find the value of x
Fed [463]

Answer:

a) x = 30°

b) mRS = x = 30°

mST = 4x = 4(30°) = 120°

mTU = 4x = 4(30°) = 120°

mUR = 3x = 3(30°) = 90°

Question:

The complete question as found on Chegg website:

In the diagram below, secants PT and PU have been drawn from exterior point P such that the four arcs

intercepted have the following ratio of measurements:

mRS : mST :MTU : mUR=1:4:4:3

(a) If mRS = x, then write an equation that could be used to solve for x

and find the value of x.

(b) State the measure of each of the four arcs.

mRS =

mST =

MTU

MUR =

Step-by-step explanation:

Find attached the diagram related to the question

mRS : mST : mTU : mUR = 1:4:4:3

Since mRS = x

Writing the ratios of the measure of angle in terms of mRS:

mST = 4× mRS = 4×x = 4x

mTU = 4× mRS = 4×x = 4x

mUR= 3× mRS = 3×x = 3x

The sum of measure the 4 measures of arc = 360° (sum of angle in a circle)

mRS + mST + mTU + mUR = 360°

x + 4x + 4x + 3x = 360

12x = 360

x = 360/12

x = 30°

b) The measure of angle

mRS = x = 30°

mST = 4x = 4(30°) = 120°

mTU = 4x = 4(30°) = 120°

mUR = 3x = 3(30°) = 90°

6 0
3 years ago
The equation (x-3)^2+(y+7)^2=64 models the position and range of the source of a radio signal. Describe the position of the sour
12345 [234]
\bf \textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad 
radius=\stackrel{}{ r}\\\\
-------------------------------\\\\
(x-3)^2+(y+7)^2=64\implies [x-\stackrel{h}{3}]^2+[y-(\stackrel{k}{-7})]^2=\stackrel{r}{8^2}
\\\\\\
center~(3,-7)\qquad radius=8

so, the broadcast location and range is more or less like the picture below.

7 0
3 years ago
Read 2 more answers
Help please someone ans
babymother [125]

Answer:

40

Step-by-step explanation:

the line in the middle shows the median

3 0
3 years ago
50 POINTS IF YOU ANSWER CORRECTLY!
melisa1 [442]

Answer:

<u>Problem 4:</u>  Option C, 32

<u>Problem 5:</u>  You need to have the 2 and the x combine.  Make the table 2x than 16.

<u>Problem 6:</u>  x = 17

<u>Problem 7:</u>  She drew a 2, x and an 16.  Instead you must have 2x and 16.  2x + 16 = 50

Step-by-step explanation:

<u>Problem 4</u>

2 + x + 16 = 50

x + 18 - 18 = 50 - 18

x = 32

Answer:  Option C, 32

<u>Problem 5</u>

You need to have the 2 and the x combine.  Make the table 2x than 16.

Answer:  You need to have the 2 and the x combine.  Make the table 2x than 16.

<u>Problem 6</u>

2x + 16 - 16 = 50 - 16

2x / 2 = 34 / 2

x = 17

Answer:  x = 17

<u>Problem 7</u>

She drew a 2, x and an 16.  Instead you must have 2x and 16.  2x + 16 = 50

Answer: She drew a 2, x and an 16.  Instead you must have 2x and 16.  2x + 16 = 50

4 0
3 years ago
Read 2 more answers
A publisher reports that 45% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is
nexus9112 [7]

Answer:

z=\frac{0.40 -0.45}{\sqrt{\frac{0.45(1-0.45)}{370}}}=-1.933  

p_v =2*P(z  

Step-by-step explanation:

Information given

n=370 represent the sample selected

\hat p=0.4 estimated proportion of  readers owned a laptop

p_o=0.45 is the value that we want to test

z would represent the statistic

p_v represent the p value

Creating the hypothesis

We need to conduct a hypothesis in order to test if the true proportion of readers owned a laptop is different from 0.45, the system of hypothesis are:  

Null hypothesis:p=0.45  

Alternative hypothesis:p \neq 0.45  

The statistic is:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing we got:

z=\frac{0.40 -0.45}{\sqrt{\frac{0.45(1-0.45)}{370}}}=-1.933  

Calculating the p value  

We have a bilateral test so then the p value would be:

p_v =2*P(z  

8 0
3 years ago
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