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3 years ago

What is the value of the expression 3\cdot2+2^33⋅2+2 3

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

4 0

Answer:

Step-by-step explanation:

Given the expression 3.2 + 2^3, we are to simplify and find the value of the expression.

Note that the dot means multiplication. The equation then becomes;

$= 3*2 + 2^3\\\\= (3*2) + (2*2*2)\\\\= 6 + (4*2)\\\\= 6 + 8\\\\= 14$

<em>Hence the value of the expression is 14</em>

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Explain how the Quotient of Powers Property was used to simplify this expression.

Simora [160]

Answer:

The answer is option 2, by simplifying 9 to 3² to make both powers base 3 and subtracting the exponents.

Step-by-step explanation:

You have to make the expressions into the same base :

$\frac{ {3}^{4} }{9} = \frac{ {3}^{4} }{ {3}^{2} }$

Next, you have to apply Indices Law :

${a}^{m} \div {a}^{n} \: ⇒ \: {a}^{m - n}$

${3}^{4} \div {3}^{2}$

$= {3}^{4 - 2}$

$= {3}^{2}$

7 0

3 years ago

7x - 3= -3 + 7x<br><br> Can someone explain

labwork [276]

Subtract 7x on both sides of the equal sign (it'll cancel out) then -3=-3 which makes a true statement.

8 0

3 years ago

Read 2 more answers

You wish to make an

Leokris [45]

Using the interest formulas, it is found that the values of the investment are given as follows:

Using simple interest, the value will be of $34,000.

Using compound interest, the value will be of $144,461.

Using continuous compounding, the value will be of $148,002.

<h3>Simple Interest</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

$A(t) = P(1 + rt)$

In which:

P is the initial amount.

r is the interest rate, as a decimal.

In this problem, we have that the parameters are as follows:

P = 9000, r = 0.07, t = 40.

Hence:

$A(t) = 9000(1 + 0.07 x 40) = 34200$

<h3>Compound interest</h3>

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

n is the number of compounding, for quarterly n = 4, then:

$A(t) = 9000\left(1 + \frac{0.07}{4}\right)^{4 \times 40}$

$A(t) = 144461$

<h3>Continuous compounding</h3>

$A(t) = Pe^{rt}$

Hence:

$A(t) = 9000e^{0.07 \times 40} = 148002$

More can be learned about the interest formulas at brainly.com/question/25296782

#SPJ1

7 0

2 years ago

Research scientists need a certain type of bacteria to conduct an experiment. There are 2,500 bacteria in a certain culture. The

pychu [463]

Answer:

7 days

Step-by-step explanation:

At 25% per day, it will take approximately 3 days to double the population, so approximately 6 days for the population to quadruple. Checking that number, we find it is not quite enough for the experiment, so another day is required.

"Guess and check" as a method of solution works especially well if you have an automated checker to evaluate your guess. A graphing calculator or spreadsheet can work well for this.

_____

We guess 3 days as the doubling time using the "rule of 72" that says the product of percentage and doubling time is about 72. That is, 72/25 ≈ 3. (This is only a very rough approximation of doubling time, best for rates near 8%.)