MATHEMATICS HIGH SCHOOL

Q(t)=Qoe^-kt May be used to model radioactive decay. Q representing the quantity remaining after t years, k is the decay constant 0.00011. what is the half-life in years?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Given that a substance decays exponentially at the rate of k times the population present.

k = 0.00011

Q0 is the initial population, and Q(t) is the population at time t.

Relationship is given by

$Q(t) = Q_(0) e^(-kt) =Q_(0) e^(-0.00011t)$

Let after t years there is half life

Then 1/2 = $e^(-0.00011t)$

Take log

t = -ln2 /(-0.00011) = 6301.34 years

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Simplify 12^16/12^4.
12^12

12^4

1^12

1^4

Answers

Quotient property of exponents: $(a^x)/(a^y) = a^(x-y)$
Substitute in such that:
$a = 12, x = 16, y = 4$
$(12^(16))/(12^4) = 12^(16-4)$
$(12^(16))/(12^4) = \textbf{12}^\textbf{12}$

Answer:

Quotient property of exponents:

Substitute - such that:

Step-by-step explanation:

Find the volume of the cone.175.9 m3

Correct Answer
167.6 m3

Incorrect Response
418.9 m3

502.7 m3

Answers

Answer:

Step-by-step explanation:

In how many ways can 15 basketball players be listed in a program A. 15
B. 1
C. 32,432,400
D. 1,307,674,368,000

Answers

C) 32,432,400 im not 100% sure though

Evaluate each expression. name the property used in each step.
2+6(9-3•3)-2

Answers

$2+6(9-3*3)-2$

$2+6*(9-9)-2$

$2+6*0-2$

$2+0-2$

$= 0$

PEMDAS
(9-3) (6x3)
2+6(18)-2
2+6
8(18)-2
144-2
142

Write 1.452 x 10^3 as an ordinary number

Answers

Step-by-step explanation:

1.452 * 10³ in ordinary number.

= 1.452 * 1000

= 1452

Hope it will help :)

Final answer:

The number 1.452 x $10^3$ in scientific notation can be written as the ordinary number 1452 by shifting the decimal point three places to the right.

Explanation:

The given number is in scientific notation and we need to convert it into an ordinary number. It uses a decimal number between 1 and 10 (inclusive) and multiplies it by a power of 10.

In the given expression 1.452 x $10^3$ , the $10^3$ means we need to shift the decimal place in 1.452 three places to the right. This is because the exponent is positive. After shifting, the number becomes 1452.

Learn more about Scientific Notation here:

brainly.com/question/2005529

#SPJ3

Which of the following is the graph of 2x + 3y = 6?

Answers

Taking point (0,-2) of graph one and replacing in the equation;
2x+3y=6
2(0)+3(-2)=6
-6=6
So graph isn't the required graph.

Taking point (0,2) of graph 2;
2x+3y=6
2(0)+3(2)=6
6=6
So, graph 2 is the required graph.

Answer:

Option (c) is correct.

Step-by-step explanation:

Given : Equation of line 2x + 3y = 6

We have to graph the given equation

Consider the given equation of line 2x + 3y = 6

We first find the points for different values of x and y

And then plot these points.

1) Put x = 0

We get ,

3y = 6

y = 2