Write an equivalent expression for 12^3 • 12^9 • 12^4 • 12^2

Answers

Answer 1

Answer:

9514 1404 393

Answer:

12^18

Step-by-step explanation:

Each exponent tells you the number of times 12 is repeated as a factor. The total number of repetitions of 12 as a factor in this product is ...

3 +9 +4 +2 = 18

The equivalent expression is 12¹⁸.

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Let $f(x) = x^2$ and $g(x) = \sqrt{x}$. Find the area bounded by $f(x)$ and $g(x).$

Answers

The area bounded by the functions f(x) and g(x) in graph below.

The given function are f(x)=x² and g(x)=√x.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

To find the area between two curves defined by functions, integrate the difference of the functions. If the graphs of the functions cross, or if the region is complex, use the absolutevalue of the difference of the functions.

Area bounded = |x²-√x|

Find the domain by finding where the expression is defined.

Interval Notation:

[0,∞)

Set-Builder Notation:{x|x≥0}

Therefore, the area bounded by the functions f(x) and g(x) in graph below.

To learn more about the function visit:

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#SPJ2

Answer:

$\large\boxed{1(1)/(3)\ u^2}$

Step-by-step explanation:

Let's sketch graphs of functions f(x) and g(x) on one coordinate system (attachment).

Let's calculate the common points:

$x^2=√(x)\qquad\text{square of both sides}\n\n(x^2)^2=\left(√(x)\right)^2\n\nx^4=x\qquad\text{subtract}\ x\ \text{from both sides}\n\nx^4-x=0\qquad\text{distribute}\n\nx(x^3-1)=0\iff x=0\ \vee\ x^3-1=0\n\nx^3-1=0\qquad\text{add 1 to both sides}\n\nx^3=1\to x=\sqrt[3]1\to x=1$

The area to be calculated is the area in the interval [0, 1] bounded by the graph g(x) and the axis x minus the area bounded by the graph f(x) and the axis x.

We have integrals:

$\int\limits_(0)^1(√(x))dx-\int\limits_(0)^1(x^2)dx=(*)\n\n\int(√(x))dx=\int\left(x^(1)/(2)\right)dx=(2)/(3)x^(3)/(2)=(2x√(x))/(3)\n\n\int(x^2)dx=(1)/(3)x^3\n\n(*)=\left((2x√(x))/(2)\right]^1_0-\left((1)/(3)x^3\right]^1_0=(2(1)√(1))/(2)-(2(0)√(0))/(2)-\left((1)/(3)(1)^3-(1)/(3)(0)^3\right)\n\n=(2(1)(1))/(2)-(2(0)(0))/(2)-(1)/(3)(1)}+(1)/(3)(0)=2-0-(1)/(3)+0=1(1)/(3)$

Which statements are correct interpretations of this graph?Choose exactly two answers that are correct.

A.
There are 2 g of dietary fiber in every 3 tomatoes.

B.
There are 3 g of dietary fiber in every 2 tomatoes.

C.
There are 1.5 g of dietary fiber per tomato.

D.
There are 0.7 g of dietary fiber per tomato.

Answers

B and C. This problem comes down to equal fractions, so B is 2/3 and C is 1/1.5. And 2/3=1/1.5. So they are correct

the answer is B and C

You also forgot the graph

A candy store keeps track of its sales during the month of October. Below is the number of sales for the first, second, third and fourth week of the month. Week 1 ; 2 ; 3 ; 4
Candy Sales 97 ; 168 ; 259 ; 375

Which graph could represent the data shown below?

Answers

The graph of the given values is required.

Option B is correct.

The points are

$(1,97)[tex]</p><p>[tex](2,168)$

$(3,259)$

$(4,375)$

Let us find if the points are in the form of a line by finding the slope.

$(168-97)/(2-1)=71$

$(259-168)/(3-2)=91$

$71\neq 91$

So, the function is not linear.

Therefore, A and C are incorrect.

Also the function is not decreasing so option D is also eliminated.

Hence, option B is correct.

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From the attached diagram you can see that regression that best fits given data is quadratic (not linear).

option 1 is false, because it gives linear regression;
option 2 is true, it gives graph, similar to quadratic parabola;
options 3 and 4 are false, because graphs are decreasing.

Answer: correct choice is B.

If a company has 150 shares of common stock and $15,000.00 to be distributed to its holders, how much would each share receive?

Answers

If there are a total of 150 shares of common stock that total $15,000.00 total, you will need to divide the total price by the number of shares to determine the price per share. In this example, it would be as follows: $15,000.00/150 shares = $100/share. Each share would receive $100.

Hurry plz!!! Which two numbers have a least common multiple of 60?OA) 12 and 15
OB) 6 and 10
OC) 6 and 15
OD 6 and 12

Answers

Answer:

A) 12 and 15

B is the correct answer

You arrive in Mexico City with $580. How many pesos can you buy?

Answers

Answer: 11,600 Mexican pesos

Step-by-step explanation:

To determine how many pesos you can buy with $580, you need to know the current exchange rate between the US dollar (USD) and the Mexican peso (MXN). Exchange rates fluctuate, so it's important to check the most up-to-date rate.

Let's assume that the current exchange rate is 1 USD = 20 MXN.

To calculate how many pesos you can buy, you would multiply the amount of dollars you have by the exchange rate:

$580 * 20 MXN/USD = 11,600 MXN

Therefore, with $580, you can buy 11,600 Mexican pesos (MXN). Please note that exchange rates may vary, so it's always a good idea to check the current rate before making any conversions.

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