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Verizon [17]
3 years ago
5

What is the expression in radical form?

Mathematics
1 answer:
BabaBlast [244]3 years ago
3 0

Answer:

32x^9y^6/5

Step-by-step explanation:

Factor (4x^3y^2)^3 and get 2^6(x^3)^3(y^2)^3

Factor 10: 2 x 5

Then get 2^6(x^3)^3(y^2)^3/2 x 5

Cancel the common factor, 2

2^5(x^3)^3(y^2)^3/5

(x^3)^3=x^9

2^5x^9(y^2)^3/5

(y^2)^3=y^6

2^5x^9y^6/5

2^5=32

32x^9y^6/5

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The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price
likoan [24]

Answer:

A)  3%

B)  Product A

Step-by-step explanation:

<u>Exponential Function</u>

General form of an exponential function: y=ab^x

where:

  • a is the initial value (y-intercept)
  • b is the base (growth/decay factor) in decimal form
  • x is the independent variable
  • y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

<u>Part A</u>

<u>Product A</u>

Assuming the function for Product A is <u>exponential</u>:

f(x) = 0.69(1.03)^x

The base (b) is 1.03.  As b > 1 then it is an <u>increasing function</u>.

To calculate the percentage increase/decrease, subtract 1 from the base:

⇒ 1.03 - 1 = 0.03 = 3%

Therefore, <u>product A is increasing by 3% each year.</u>

<u>Part B</u>

\sf percentage\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100

To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:

\implies \sf percentage\:change=\dfrac{10201-10100}{10100}\times 100=1\%

Check using different two consecutive values of f(t):

\implies \sf percentage\:change=\dfrac{10303.01-10201}{10201}\times 100=1\%

Therefore, as 3% > 1%, <u>Product A recorded a greater percentage change</u> in price over the previous year.

Although the question has not asked, we can use the given information to easily create an exponential function for Product B.

Given:

  • a = 10,100
  • b = 1.01
  • n = t - 1 (as the initial value is for t = 1 not t = 0)

\implies f(t) = 10100(1.01)^{t-1}

To check this, substitute the values of t for 1 through 4 into the found function:

\implies f(1) = 10100(1.01)^{1-1}=10100

\implies f(2) = 10100(1.01)^{2-1}=10201

\implies f(3) = 10100(1.01)^{3-1}=10303.01

\implies f(4) = 10100(1.01)^{4-1}=10406.04

As these values match the values in the given table, this confirms that the found function for Product B is correct and that <u>Product B increases by 1% per year.</u>

4 0
2 years ago
In 2011, the Institute of Medicine (IOM), a non-profit group affiliated with the Select one US National Academy of Sciences, rev
Sergio [31]

Answer:

B. Yes, there are at least 10 people with weak bones and 10 people with strong bones in each group.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}

The correct answer is:

B. Yes, there are at least 10 people with weak bones and 10 people with strong bones in each group.

7 0
3 years ago
Pls help me i will mark brainliest if you are right !
tekilochka [14]

Answer:

second option

Step-by-step explanation:

diameter= 22 cm

radius = diameter/2

=22/2

11 cm

volume of a sphere = \frac{4}{3}*pie* r^3

=\frac{4}{3} * 3.14 *11^3

=4.186666 * 1331

=5572 . 5 cubic centimeters (cm^3)

5 0
3 years ago
Anna has 4 bags of 100 crackers, bags of 10 crackers, and 3 crackers that aren’t in bags. How many crackers does she have
sweet-ann [11.9K]

Answer:1,100??

Step-by-step explanation:

6 0
3 years ago
The Cooking Club made some pies to sell
Sergio [31]

Answer:

36

Step-by-step explanation:

divide the 72 pieces by 2, you already know that 6 + 6 is 12, and 30 +30 is 60, so add 60 and 12 and you get 72

8 0
2 years ago
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