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2 years ago

Write 308 as a product of its prime factor

2 answers:

6 0

308= 2 and 154= 2 and 77= 7 and 11
Answer: 2x2x7x11(can be simplified into 2^2x7x11)
In the answer you only use the prime numbers until you cannot divide any longer

AfilCa [17]2 years ago

3 0

Answer:

Solution: Since, the prime factors of 308 are 2, 7, 11. Therefore, the product of prime factors = 2 × 7 × 11 = 154.

Step-by-step explanation:

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Alex applies 350 n of force to move his stalled car 40 m how much work did alex do

Katyanochek1 [597]

Step-by-step explanation:

Work done = Force × displacement

= 350 × 40

=14000J

7 0

3 years ago

Verify csc^2t-cos t sect= cot^2 t

Ymorist [56]

Rewriting the left hand side,

csc²t - cost sec t

= (1/sin²t)-(cost)(1/cost)

= 1/sin²t - 1

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= (1-sin²t)/sin²t

= cos²t/sin²t

= cot²t

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2 years ago

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6 0

3 years ago

A sample was taken of the salaries of four employees from a large company. the following are their salaries, in thousands of dol

Free_Kalibri [48]

For given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars

The formula for the variance is,

$S^2=\frac{\sum (x_i - \bar{x})^2}{n-1}$

where,

$S^2$ = sample variance

$x_i$ = the value of the one observation

$\bar{x}$ = the mean value of all observations

n = the number of observations

For given question,

n = 4

First we find the mean of their salaries.

(33 + 31 + 24 + 36 ) / 4 = 31

So, $\bar{x}=31$

Using the formula for variance ,

$S^2=\frac{(33-31)^2}{4-1}+\frac{(31-31)^2}{4-1}+\frac{(24-31)^2}{4-1}+\frac{(36-31)^2}{4-1}\\\\ S^2=\frac{4}{3} + \frac{0}{3} + \frac{49}{3} + \frac{25}{3} \\\\S^2= \frac{4+49+25}{3}\\\\S^2=\frac{78}{3} \\\\S^2=26$

Therefore, for given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars

Learn more about the variance here:

brainly.com/question/13673183

#SPJ4

7 0

2 years ago

Simplify the expression (5k^2)^3 5k^6 5k^8 125k^5 125k^6

o-na [289]

(5k²)³
(5³)(k²)³
125k⁶

The answer is D.

6 0

3 years ago