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3 years ago

Write the product in its simplest form : 6c • (-7c^6)

Mathematics

1 answer:

kykrilka [37]3 years ago

7 0

Answer:

Step-by-step explanation:

(-7*6)(c*c^6) = -42c^7

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600 can be written as 2^a x b x c^d. where a, b, c and d are all prime numbers. find the values of a, b, c and d

Sergeu [11.5K]

Answer:

easy one

Step-by-step explanation:

first factorise 600 as 2*2*2*3*5*5

then write as 2^3 * 3*5^2= 2^a*b*c^d

equating corresponding elements as a=3

b=1and c= 2 is the answer

8 0

3 years ago

Use long division to find the quotient below

Alla [95]

Answer:

$4x^2-2x+6$

Step-by-step explanation:

I did it on paper

$(8x^3+20x^2+36)/(2x+6)=4x^2-2x+6$

3 0

3 years ago

Reynaldo rode his bike 2 miles north and 3 miles east. Which equation should he use to find the distance, d, that takes him dire

kotykmax [81]

Answer:

The first one, 2 square+ 3 squared= <em>d </em>squared

Step-by-step explanation:

The theory for finding the hypotenuse of a triangle is:

$a^{2} + b^{2} = c^{2}\\or\\(2)^{2}+(3)^{2}=d^{2}$

7 0

3 years ago

List all number sets that apply to each number

Tresset [83]

What’s the numbers/ list ?

8 0

3 years ago

Construct a 95% confidence interval for the population mean, mu. Assume the population has a normal distribution. A random sam

aniked [119]

Given Information:

Number of lithium batteries = n = 16

Mean life of lithium batteries = μ = 645 hours

Standard deviation of lithium batteries = σ = 31 hours

Confidence level = 95%

Required Information:

Confidence Interval = ?

Answer:

$CI = 628.5 \: to \: 661.5 \: hours$

Step-by-step explanation:

The confidence interval is given by

$CI = \mu \pm t_{\alpha/2} (\frac{\sigma}{\sqrt{n}})$

Where μ is the mean life of lithium batteries, σ is the standard deviation, n is number of lithium batteries selected, and t is the critical value from the t-table with significance level of

tα/2 = (1 - 0.95) = 0.05/2 = 0.025

and the degree of freedom is

DoF = n - 1 = 16 - 1 = 15

The critical value (tα/2) at 15 DoF is equal to 2.131 (from the t-table)

$CI = 645 \pm 2.131(\frac{31}{\sqrt{16}})$

$CI = 645 \pm 2.131(7.75})$

$CI = 645 \pm 16.515$

$CI = 645 - 16.515 \: and \: 645 + 16.515$

$CI = 628.5 \: to \: 661.5 \: hours$

Therefore, the 95% confidence interval is 628.5 to 661.5 hours

What does it mean?

It means that we are 95% confident that the mean life of 16 lithium batteries is within the interval of (628.5 to 661.5 hours)

6 0

3 years ago