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bearhunter [10]
3 years ago
7

Which expression is equivalent to -

Mathematics
1 answer:
dedylja [7]3 years ago
4 0
x^\frac{4}{3} x^ \frac{2}{3}Lets get started :)

Referring to the picture I have uploaded might help you
We have the same base, which in this case is x. 

When multiplication occurs in the same base, we add the powers
x^\frac{4}{3} x^ \frac{2}{3}
   ↓ (I am going to perform the problem separately and then give the final answer as the power to x)
\frac{4}{3} + \frac{2}{3} = \frac{6}{3} = 2
  ↓
x²

(x^2)^ \frac{1}{3}

The power of a power should be performed by multiplying the powers together.
2 x \frac{1}{3} = \frac{2}{3}

x^\frac{2}{3}

Your final answer will be the second option



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A gerbil cage,priced at $18, is discounted 20% for one week, and then this price is marked up 20%. is the price back to 20% expl
stiks02 [169]
No, it isn't!

first, the discount is 20 percent of 18 dollars, that is 18/5=3.6

this means that during the first week the prize is 18-3.6=14.4

now, the prize is marked up 20 % of 14.4! this is 2.88

so the prize later will be 14.4+2.88, that is 17.28, not 18

what is relevant here is what a number is a percent OF
6 0
3 years ago
Isabella has dance class every 3 days and soccer
Nataliya [291]

Answer:

15

Step-by-step explanation:

first you need to find the LCM (least common multiple) which is 15 so then every 15 days she will have both soccer, dance class and swimming class on the same day

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4 years ago
The expression 2x2 + 12x + 10 represents a bird's height, in feet, x seconds after it leaves its nest,
marusya05 [52]
The answer is A. You add the extra 10 feet to however high the bird flew from there
8 0
3 years ago
PLSSS HELP ILL GIVE BRAINLIEST!!!,!!!
Alexus [3.1K]

rewrite -1 1/3 as a decimal: -1.5


-2.1 - x = -1.5

Subtract -2.1 From both sides:

X = -1.5 - -2.1 = -1.5 + 2.1

X = 0.6


Answer: B. 0.6

6 0
2 years ago
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Researchers are interested in the effect of a certain nutrient on the growth rate of plant seedlings. Using a hydroponics grow p
Ede4ka [16]

Answer:

1) The mean calculated for this case is \bar X=61.5

2)  61.5-5.4=56.1

3) 61.5+5.4=66.9

4) B. An interval estimate gives us a sense of the accuracy of the point estimate whereas a point estimate alone does not.

Because with the confidence interval we know the confidence level of the interval, and the limits for the parameter at some significance level.  

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Part 1

In order to calculate the mean and the sample deviation we can use the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n} (a)  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}} (b)  

The mean calculated for this case is \bar X=61.5

The sample deviation calculated s=5.143

\mu population mean (variable of interest)

n=6 represent the sample size  

Part 2

The confidence interval for the mean is given by the following formula:

\bar X \pm ME   (1)

So if we have the margin of error 5.4mm we can find the lowr limit like this:

61.5-5.4=56.1

Part 3

61.5+5.4=66.9

Part 4

B. An interval estimate gives us a sense of the accuracy of the point estimate whereas a point estimate alone does not.

Because with the confidence interval we know the confidence level of the interval, and the limits for the parameter at some significance level.

4 0
3 years ago
Read 2 more answers
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