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ExtremeBDS [4]
3 years ago
6

Please foil (x^2 - (1/5x^2))^2

Mathematics
1 answer:
Airida [17]3 years ago
8 0




(x² - (1/5x²))²

Using (a-b)² = a²-2×ab+b²

(x²)² -2x²×(1/5x)² + (1/5x²)²

x⁴ -2x⁴ + 1/25⁴

We developed the fraction to obtain the lowest common denominator

x⁴/1 - 2x⁴/5 +x⁴/25

25×(X⁴)/25×1 - 5×(2x⁴)/5×5 + x⁴/25


25×⁴/25 - 10x⁴/25 + x⁴/25

{25×⁴- 10x⁴ + 1x⁴}/25

{26×⁴- 10x⁴}/25

{26×⁴- 10x⁴}/25

16x⁴/25
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Se dau punctele coliniare A,B,C cu distanta AB=30 BC=15 .Calculati distanta dintre AsiC.Catr soluti are proclrma?
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Write the steps for how to use a number line to multiply a 2 digit number by 20. Give an example
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Draw the number line then put the numbers on the number line by twos. Fore example, 2-4-6-8-10
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[79 points if correct]<br>Help me with any 4 questions!<br>Please !!!!​
Anarel [89]

<u>Answer:</u>

<u>(BEFORE YOU SUBMIT IT, PLEASE READ THE WARNING)</u>

QUESTION EIGHT: 2690

QUESTION NINE: 120

QUESTION ELEVEN: 12.5

QUESTION FOURTEEN: 24

<u>Step-by-step explanation:</u>

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8.

may 3rd -> july 15th = 73 days

500*0.06 = 30

30 = how much he makes in one day (so he has 530 after 1 day)

30*73 = 2190

500 + 2190 = 2690

9.

210/7 = 30

1% for 3 years = 30

1% for 1 year = 10

100% for 1 year = 1000

2000*0.06 = 120

11.

54,000*0.08 = 4320

54,000/4320 = 12.5

14.

5000*6.26% = 312.5

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5 0
3 years ago
A random sample of 15 employees was selected. The average age in the sample was 31 years with a variance of 49 years. Assuming a
vova2212 [387]

Answer:

Assuming ages are normally distributed, the 98% confidence interval for the population average age is [26.3, 35.7].

Step-by-step explanation:

We have to construct a 98% confidence interval for the mean.

The information we have is:

- Sample mean: 31

- Variance: 49

- Sample size: 15

- The age is normally distributed.

We know that the degrees of freedom are

k=n-1=15-1=14

Then, the t-value for a 98% CI is t=2.625 (according to the t-table).

The standard deviation can be estimated from the variance as:

s=\sqrt {s^2}=\sqrt{49}=7

The margin of error is:

E=t_{14}*s/\sqrt{n}\\\\E=2.625*7/\sqrt{15}=18.375/3.873=4.7

Then, the CI can be constructed as:

M-t*s/\sqrt{n}\leq\mu\leq M+t*s/\sqrt{n}\\\\31-4.7\leq \mu \leq 31+4.7\\\\26.3\leq \mu \leq 35.7

5 0
3 years ago
Which statement best explains the relationship
Thepotemich [5.8K]

Answer:

they are perpendicular because they have slopes that are negative reciprocals

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