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igor_vitrenko [27]
3 years ago
7

A radioactive element has a half-life of six days. What is the approximate decay rate of the element after the first day?

Mathematics
2 answers:
s344n2d4d5 [400]3 years ago
3 0

Answer: Good question bc I dont know either

Step-by-step explanation: Im stuck on e2020

                       <u><em>HELP!!!</em></u>

pogonyaev3 years ago
3 0

Answer:    8.3 or C  

Eplanation: This is because a half life is 50 percent of a normal life so 50 percent divided by 6 is 8.3

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A person's height is 5-ft 3-in. Their shadow has a length of 3-ft 6-in. If a nearby tree has a shadow of length 10-ft 4-in, what
Alchen [17]

Answer: The height of tree = 15 ft. 6 inches

Step-by-step explanation:

Given: A person's height is 5-ft 3-in = [5 x (12 )+3 ]  inches    [ 1 ft= 12 inches]

= 63 inches      

Their shadow has a length of 3-ft 6-in = [3 x 12+6] inches    

= 42 inches

If a nearby tree has a shadow of length 10-ft 4-in = [10 x 12+4] inches

= 124 inches.

At the same time,

\dfrac{\text{Height of tree}}{\text{Height of person}}=\dfrac{\text{Length person's shadow}}{\text{Length of tree's shadow}}\\\\\dfrac{\text{Height of tree}}{63}=\dfrac{124}{42}\\\\\Rightarrow\ \text{Height of tree}=\dfrac{124}{42}\times63=186\ inches\\\\=\dfrac{186}{12}= 15.5 ft\ or\ 15 ft.\ 6\ inches.

Hence, the height of tree = 15 ft. 6 inches

7 0
3 years ago
On Friday there were 8 snowboarders for every 3 skiers at Slovak ski resort. On Saturday the ratio of the number of snowboarders
atroni [7]

Answer:

There are 46 more skiers than snowboarder

Step-by-step explanation:

Given

Ratio of Snowboarders to Skiers

On Friday:

Ratio = 8 : 3

On Saturday:

Ratio = 4 : 7

Population = 168

Required

Determine the difference in the number of skiers and snowboarders on Saturday

On Saturday, we have

Ratio = 4 : 7

Calculate Total

Total = 4 + 7

Total = 11

Calculate the number of skiers

Skiers = \frac{7}{11} * 168

Skiers = \frac{1176}{11}

Skiers = 107 (Approximated)

Calculate the number of snowboarders

Snowboarders = \frac{4}{11} * 168

Snowboarders = \frac{672}{11}

Snowboarders = 61 (Approximated)

Calculate the difference

Difference = 107 - 61

Difference = 46

<em>Hence, there are 46 more skiers than snowboarder</em>

6 0
4 years ago
If Q is the midpoint of PR, and PQ = 2x + 3 and QR = 3x– 2, find x, PQ, QR, and PR.
leva [86]
Since they tell us that Q is the midpoint you now understand that the line is split evenly.
PQ=QR
 2x+3=3x-2
 2x+5=3x
 x=5.
8 0
3 years ago
Five students visiting the student health center for a free dental examination during National Dental Hygiene Month were asked h
kirza4 [7]

Answer:

95% confidence interval for the mean number of months is between a lower limit of 6.67 months and an upper limit of 25.73 months.

Step-by-step explanation:

Confidence interval is given as mean +/- margin of error (E)

Data: 5, 15, 12, 22, 27

mean = (5+15+12+22+27)/5 = 81/5 = 16.2 months

sd = sqrt[((5-16.2)^2 + (15-16.2)^2 + (12-16.2)^2 + (22-16.2)^2 + (27-16.2)^2) ÷ 5] = sqrt(58.96) = 7.68 months

n = 5

degree of freedom = n-1 = 5-1 = 4

confidence level (C) = 95% = 0.95

significance level = 1 - C = 1 - 0.95 = 0.05 = 5%

critical value (t) corresponding to 4 degrees of freedom and 5% significance level is 2.776

E = t×sd/√n = 2.776×7.68/√5 = 9.53 months

Lower limit of mean = mean - E = 16.2 - 9.53 = 6.67 months

Upper limit of mean = mean + E = 16.2 + 9.53 = 25.73 months

95% confidence interval is (6.67, 25.73)

3 0
3 years ago
What is the measure of the hypotenuse?
SVETLANKA909090 [29]

Answer:

To find the hypotenuse you need to use the Pythagorean Theorem which is

a^2+b^2=c^2

Where a and b are your two sides and c is your diagonal line

So you want to plug the numbers in for the right variables

5^2+12^2=c^2

We want to find what c equals so we are first gonna simplify

25+144=c^2

we take 5^2=25, and 12^2=144, then we add them together 25+144=169

169=c^2 now you want to take 169 and square root it because the opposite of squaring is taking it by the root square

The square root of 169=13

Your hypotenuse is 13

Hope this helps ;)

4 0
3 years ago
Read 2 more answers
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