in a ___ individuals all have an equal chance of being selected and all samples have an equal chance of being selected?

If a=2b^3 and b= -1/2c ^-2,express a in terms of c.

ElenaW [278]

Answer:

Part 1) $a=-\frac{1}{4c^6}$

Part 2) $a=-\frac{1}{4c^{-6}}$

Step-by-step explanation:

Part 1) we have

$a=2b^{3}$ ----> equation A

$b=-\frac{1}{2}c^{-2}$ ----> equation B

substitute equation B in equation A

$a=2(-\frac{1}{2}c^{-2})^{3}$

Applying property of exponents

$(x^{m})^{n}=x^{m*n}$

$x^{-m} =\frac{1}{x^{m}}$

$a=2(-\frac{1}{2}c^{-2})^{3}=2(-\frac{1}{2})^3(c^{-2})^{3}=2(-\frac{1}{8})(c^{-6})=-\frac{1}{4c^6}$

therefore

$a=-\frac{1}{4c^6}$

Part 2) we have

$a=2b^{3}$ ----> equation A

$b=-\frac{1}{2c^{-2}}=-\frac{c^{2}}{2}$ ----> equation B

substitute equation B in equation A

$a=2(-\frac{c^{2}}{2})^{3}$

Applying property of exponents

$(x^{m})^{n}=x^{m*n}$

$x^{-m} =\frac{1}{x^{m}}$

$a=2(-\frac{c^{2}}{2})^{3}=2(-\frac{c^{6}}{8})$

simplify

$a=-\frac{c^{6}}{4}$

therefore

$a=-\frac{1}{4c^{-6}}$

6 0

2 years ago

What are the possible number of positive, negative, and complex zeros of f(x) = x6 – x5– x4 + 4x3 – 12x2 + 12 ?

FinnZ [79.3K]

This is a polynomial with more than 2 as a degree. Using Descartes Rule of Signs:
f(x) = x⁶ + x⁵ + x⁴ + 4x³ − 12x² + 12
Signs: + + + + − + 2 sign changes ----> 2 or 0 positive roots
f(−x) = (−x)⁶ + (−x)⁵ + (−x)⁴ + 4(−x)³ − 12(−x)² + 12 f(−x) = x⁶ − x⁵ + x⁴ − 4x³ − 12x² + 12
Signs: + − + − − + 4 sign changes ----> 4 or 2 or 0 negative roots
Complex roots = 0, 2, 4, or 6

7 0

2 years ago

Read 2 more answers

In a recent year there were about 400,000,000 mobile internet users. That same year, there were about 1.2 x 10^9 desktop interne

Naddika [18.5K]

Answer:

The number of desktop internet users are 3 times more than the number of mobile internet users.

Step-by-step explanation:

We are given the following in the question:

Number of mobile internet users = 400,000,000

$400,000,000 = 4\times 10^{8}$

Number of desktop internet user =

$1.2 \times 10^9$

Comparison of values:

$=\dfrac{\text{Number of desktop internet user}}{\text{Number of mobile interet user}}\\\\=\dfrac{1.2\times 10^9}{4\times 10^8}\\\\=0.3\times 10\\=3$

Thus, the number of desktop internet users are 3 times more than the number of mobile internet users.

4 0

2 years ago

I didn’t pay attention in class help

Alona [7]

Answer:

The 1/4th power means the 4th root of a number.

Therefore for the first question, the answer should be 4th root of 1296 -4th root of 625. or \sqrt[4]{1296}

4

1296

-\sqrt[4]{625}

4

625

:D

For the second question just calculate? what to the 4th power is 1296 and what to the 4th power is 625?

They should respectively be 6 and 5. So the final answers we get is 6-5=1

If you have any questions about this just ask me in the comment and I will get to it as soon as I could.

hopecthis helps

4 0

2 years ago

A spider ate 25%25\% 25% 25, percent more bugs this month than last month. The spider ate 88 8 8 bugs last month. How many bugs

alekssr [168]

Answer:

10 bugs

Step-by-step explanation:

If last month the spider ate 8 bugs, and this month the spider ate 25% more bugs, we can calculate the amount of bugs the spider ate this month finding how much is 25% of 8 bugs, and them we sum this value to the 8 bugs it ate last month.

25% of 8 = 8 * 25 / 100 = 2

Now we know that the spider ate 2 more bugs, so the amount of bugs it ate this month is 8 + 2 = 10 bugs.

We can also solve this problem multiplying directly 8 by 1.25 (1.25 represents the 25% increase in the bug consumption):

8 * 1.25 = 10 bugs.

6 0

2 years ago