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3 years ago

the half-life of uranium -238 is 4.5 × 10 to the power of 9 years. The half-life of uranium-238 than that of uranium-234

Mathematics

1 answer:

Anika [276]3 years ago

5 0

Answer:

Uranium-234 is an isotope of uranium. In natural uranium and in uranium ore, U-234 occurs as an indirect decay product of uranium-238, but it makes up only 0.0055% (55 parts per million) of the raw uranium because its half-life of just 245,500 years is only about 1/18,000 as long as that of U-238.

Step-by-step explanation:

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John’s parents recorded his height at various ages between 36 and 66 months.

timurjin [86]

Answer:

Step-by-step explanation:

a)General least square regression line is ,

$Y=a+(b*x)$

Where,a=intercept. b= slope

To get line just find values of a and b.

Use Excel to find values.

First enter values of variable "age" that is y in the column A that is A1to A5 and values of variable "height" in the column B, B1 to B5.

Then for value of a use functufuas ,

=INTERCEPT(A1:A5,B1:B5)

Then hit enter ,therefore a=20.4595

For b use function as. =SLOPE(A1:A5,B1:B5)

Then hit enter.therefore b=0.3738

Therefore equation of least square regression line is

Y=20.4595+(0.3738*x)

b) to predict height at age 21 years or 252 month just put value of x=252 in the above equation.

Y=20.4595+(0.3738+252)

Y=20.4595+94.1976

Y=114.6571

Conclusion: height will be 114.6571 inches when age change by 1 unit.

7 0

2 years ago

How long will it take for an investment to triple if it is compounded continuously at 12%

myrzilka [38]

Answer:

9.694 years

Step-by-step explanation:

Let the investment is $P.

So, we are asked to determine the time it will grow to triple with the compound interest rate of 12%.

Let the time is y years.

So, from the formula of compound interest we can write

$3P = P(1 + \frac{12}{100} )^{y}$

⇒ $(1 + \frac{12}{100} )^{y} = 3$

⇒ $(1.12)^{y} = 3$

Now, taking log both sides we get,

y log 1.12 = log 3 {Since, $\log a^{b} = b \log a$ }

⇒ 0.04922y = 0.477712

⇒ y = 9.694 years (Answer)

3 0

3 years ago

On a number line what does it mean when it said find the ratio of DH to CE when D=30 H=70 C= 20 and E= 40

puteri [66]

Answer:

Multiply the number and divide by how many numbers were added

7 0

3 years ago

Drag and drop the words below to correctly complete the statement of the SAS Similarity Theorem.

Olegator [25]

Congruent
An angle
Sides
Proportional
Similar

5 0

2 years ago

How do I solve this?

Crazy boy [7]

Answer:

71°

142°

Step-by-step explanation:

$\because QS \: is \: the \: bisector \: of \: \angle \: PQR\\\therefore m\angle RQS =m\angle PQS\\\because m\angle RQS = 71\degree...(given) \\ \huge \red{ \boxed{\therefore m\angle PQS = 71\degree}} \\ \because \: m\angle \: PQR = m\angle PQS + m\angle RQS \\ \because \: m\angle \: PQR = 71\degree + 71\degree \\ \huge \purple{ \boxed{\therefore \: m\angle \: PQR = 142\degree}}$

7 0

3 years ago