−2√24+2√2−2√8 Simplify Work Needed

Can someone please work through this one question so I know what to do for the other 9? How the testing system works for me is t

Aloiza [94]

Scientific notation is the way that scientists easily handle very large numbers or very small numbers. Scientific notation is written by writting a decimal number between 1 and 10 together with an exponent of 10.

Given
$(4.23\times10^{12})\div(9.0\times10^6)$

First, using distributive property of numbers, seperate the decimal numbers and the exponents of 10, we have
$(4.23\div9.0)\times(10^{12}\div10^6)=0.47\times10^{12-6}=0.47\times10^6$

Because, scientific notation requires that the decimal number part be a number between 1 and 10, we move the decimal point 1 place foward and subtract 1 from the exponent of 10.

Therefore, $(4.23\times10^{12})\div(9.0\times10^6)$
in standard notation is
$4.7\times10^5$

6 0

3 years ago

What values for q (0 ≤q≤2π) satisfy the equation? 22√sin q + 2 = 0

Vesna [10]

Answer:
$\frac{3 \pi }{4}$ , $\frac{7 \pi }{4}$

Explanation:
2√2 sin(q) + 2 = 0
2√2 sin(q) = -2
sin(q) = $\frac{-2}{2 \sqrt{2} }$
sin(q) = $\frac{- \sqrt{2} }{2}$

Now, we know that:
sin (45) = $\frac{ \sqrt{2} }{2}$

From the ASTC rule, we know that the sine function is negative in the third and fourth quadrant.
This means that:
either q = 90 + 45 = 135° which is equivalent to $\frac{3 \pi }{4}$
or q = 270 + 45 = 315° which is equivalent to $\frac{7 \pi }{4}$

Hope this helps :)

6 0

3 years ago

Read 2 more answers

In 1932 the percentage of workers who had any form of employment-related pensions was about

ankoles [38]

The answer is 15% have a good day

3 0

3 years ago

The prices of all college textbooks follow a bell-shaped distribution with a mean of $113 and a standard deviation of $12. Using

Soloha48 [4]

Step-by-step explanation:

In statistics, the empirical rule states that for a normally distributed random variable,

68.27% of the data lies within one standard deviation of the mean.

95.45% of the data lies within two standard deviations of the mean.

99.73% of the data lies within three standard deviations of the mean.

In mathematical notation, as shown in the figure below (for a standard normal distribution), the empirical rule is described as

$\Phi(\mu \ - \ \sigma \ \leq X \ \leq \mu \ + \ \sigma) \ = \ 0.6827 \qquad (4 \ \text{s.f.}) \\ \\ \\ \Phi(\mu \ - \ 2\sigma \ \leq X \ \leq \mu \ + \ 2\sigma) \ = \ 0.9545 \qquad (4 \ \text{s.f.}) \\ \\ \\ \Phi}(\mu \ - \ 3\sigma \ \leq X \ \leq \mu \ + \ 3\sigma) \ = \ 0.9973 \qquad (4 \ \text{s.f.})$

where the symbol $\Phi$ (the uppercase greek alphabet phi) is the cumulative density function of the normal distribution, $\mu$ is the mean and $\sigma$ is the standard deviation of the normal distribution defined as $N(\mu, \ \sigma)$ .

According to the empirical rule stated above, the interval that contains the prices of 99.7% of college textbooks for a normal distribution $N(113, \ 12)$ ,

$\Phi(113 \ - \ 3 \ \times \ 12 \ \leq \ X \ \leq \ 113 \ + \ 3 \ \times \ 12) \ = \ 0.9973 \\ \\ \\ \-\hspace{1.75cm} \Phi(113 \ - \ 36 \ \leq \ X \ \leq \ 113 \ + \ 36) \ = \ 0.9973 \\ \\ \\ \-\hspace{3.95cm} \Phi(77 \ \leq \ X \ \leq \ 149) \ = \ 0.9973$

Therefore, the price of 99.7% of college textbooks falls inclusively between $77 and $149.

5 0

2 years ago

5.62 as a whole number in simplest form

Tju [1.3M]

Answer:

5.62*100=562. not sure

3 0

3 years ago