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3 years ago

What is (3.5 x 10 to the fourth) to the second

2 answers:

8 0

So that is 3.5 times 10000 or 35000
then it is squared so 1,225,000,000 but to four significant digits it would be 1225 times 10^6 or on a online test 1225e+06

mote1985 [20]3 years ago

5 0

Exponents raised by exponents are resolved by multiplying the two exponents together . . . so distribute the exponent to the paranthesis

note:
3.5 = 3.5^1

(3.5 x 10^4)^2

(3.5^1*2 x 10^(4*2))

(3.5^2 x 10^8)

12.25 x 10^8

1.225 x 10^9

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Last year, Nahla opened an investment account with $5400. At the end of the year, the amount in the account had increased by 7.5

Inga [223]

Answer:

Step-by-step explanation:

7.5% would be 405. Honestly to find it quickly, i took 10% of 5400,which is 540 and divided that by 4 to get 135 and multiply that by 3 to get 7.5%, which is 405 increase. to get the money total add 405 to 5400 to get 5805

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3 years ago

PLXXZZ HELPPP.. which is true about the function shown between x=4 and x=6

Phantasy [73]

Answer:

function is linear and decreasing

Step-by-step explanation:

as shown in the graph between points (4,0) and (6,0)

4 0

3 years ago

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Dara has to solve 35 math problems for homework. She has completed 14 of them.what fraction of the problems does she have left t

RSB [31]

Answer: 3/5

Step-by-step explanation: thats your answer.

6 0

3 years ago

g A researcher wants to construct a 95% confidence interval for the proportion of children aged 8-10 living in Atlanta who own a

Helga [31]

Answer:

The sample size needed is 2401.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error of the interval is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Estimate the sample size needed if no estimate of p is available so that the confidence interval will have a margin of error of 0.02.

We have to find n, for which M = 0.02.

There is no estimate of p available, so we use $\pi = 0.5$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.02}$

$(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.02})^{2}$

$n = 2401$

The sample size needed is 2401.

7 0

3 years ago

Read 2 more answers

What are the real and complex solutions of the polynomial equation? x^3-8=0. with imaginary numbers

seraphim [82]

Answer:

Solutions are 2, -1 + 0.5 sqrt10 i and -1 - 0.5 sqrt10 i

or 2, -1 + 1.58 i and -1 - 1.58i

(where the last 2 are equal to nearest hundredth).

Step-by-step explanation:

The real solution is x = 2:-

x^3 - 8 = 0

x^3 = 8

x = cube root of 8 = 2

Note that a cubic equation must have a total of 3 roots ( real and complex in this case). We can find the 2 complex roots by using the following identity:-

a^3 - b^3 = (a - b)(a^2 + ab + b^2).

Here a = x and b = 2 so we have

(x - 2)(x^2 + 2x + 4) = 0

To find the complex roots we solve x^2 + 2x + 4 = 0:-

Using the quadratic formula x = [-2 +/- sqrt(2^2 - 4*1*4)] / 2

= -1 +/- (sqrt( -10)) / 2

= -1 + 0.5 sqrt10 i and -1 - 0.5 sqrt10 i

4 0

3 years ago

Read 2 more answers