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3 years ago

how do you write an explicit and recursive equation with the sequence of numbers given: 5, 8, 12.8, 20.48????

1 answer:

6 0

$\dfrac{25}{8}\left(\dfrac{8}{5}\right)^1=5\\\\\dfrac{25}{8}\left(\dfrac{8}{5}\right)^2=5\cdot\dfrac{8}{5}=8\\\\\dfrac{25}{8}\left(\dfrac{8}{5}\right)^3=8\cdot\dfrac{8}{5}=12.8\\\\\dfrac{25}{8}\left(\dfrac{8}{5}\right)^4=12.8\cdot\dfrac{8}{5}=20.48$

The explicit form:

$a_n=\dfrac{25}{8}\left(\dfrac{8}{5}\right)^n$

The recursive form:

$a_n=\left\{\begin{array}{ccc}a_1=5\\a_{n+1}=\dfrac{8}{5}a_n\end{array}\right$

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Need help on this question asap please

Natalka [10]

Answer:

a= 168

p= 62

Step-by-step explanation:

25 24 and 7 are pythagorean triples. meaning the short side length is 7.

24*7 = 168

48+14=62

5 0

3 years ago

Solve the equation. Check the solution. 6/7x= - 18

dexar [7]

Answer:

x= -21

Step-by-step explanation:

6/7x=-18

divide both sides by 6/7

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x= -21

------------

8 0

3 years ago

Read 2 more answers

A group of researchers are interested in the possible effects of distracting stimuli during eating, such as an increase or decre

Dmitry [639]

Using the t-distribution, it is found that since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.

At the null hypothesis, it is tested if the consumption is not different, that is, if the subtraction of the means is 0, hence:

$H_0: \mu_1 - \mu_2 = 0$

At the alternative hypothesis, it is tested if the consumption is different, that is, if the subtraction of the means is not 0, hence:

$H_1: \mu_1 - \mu_2 \neq 0$

Two groups of 22 patients, hence, the standard errors are:

$s_1 = \frac{45.1}{\sqrt{22}} = 9.6154$

$s_2 = \frac{26.4}{\sqrt{22}} = 5.6285$

The distribution of the differences is has:

$\overline{x} = \mu_1 - \mu_2 = 52.1 - 27.1 = 25$

$s = \sqrt{s_1^2 + s_2^2} = \sqrt{9.6154^2 + 5.6285^2} = 11.14$

The test statistic is given by:

$t = \frac{\overline{x} - \mu}{s}$

In which $\mu = 0$ is the value tested at the null hypothesis.

Hence:

$t = \frac{25 - 0}{11.14}$

$t = 2.2438$

The p-value of the test is found using a two-tailed test, as we are testing if the mean is different of a value, with t = 2.2438 and 22 + 22 - 2 = 42 df.

Using a t-distribution calculator, this p-value is of 0.0302.

Since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.

A similar problem is given at brainly.com/question/25600813

4 0

3 years ago

The sum of Jada and Sophie's ages is, at most, 18. Sophie is 3 years older than twice Jada's age. Write an inequality model Jada

liq [111]

Answer:

Step-by-step explanation:

$s=2j+3\\ \\ j+s\le 18\\ \\ j+2j+3\le 18\\ \\ 3j+3\le 18\\ \\ 3j\le 15\\ \\ j\le 5\\ \\ \text{Though j=5 is the only solution to both equations.}$