Find the 8th term of the geometric sequence 7, 28. 112, ... HELP PLSSSS

Answers

Answer 1
Answer: 114,688
the sequence was multiplying by 4 each time so all u needed to do was multiply each answer by four starting from 7x4
7×4 = 28
28×4 = 112
112×4 = 448
448×4 = 1 792
1792×4 = 7168
7168×4 = 28,672
28,672×4 =114,688

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Can you help me to do this please?Determine the inverse of the h(x)

Answers

Answer:

h^(-1)(x)=x^3+6x^2+12x+7

Explanation:

Given the below function;

h(x)=\sqrt[3]{x+1}-2

We'll follow the below steps to determine the inverse of the above function;

Step 1: Replace h(x) with y;

y=\sqrt[3]{x+1}-2

Step 2: Switch x and y;

x=\sqrt[3]{y+1}-2

Step 3: Solve for y by first adding 2 to both sides;

\begin{gathered} x+2=\sqrt[3]{y+1}-2+2 \n x+2=\sqrt[3]{y+1} \end{gathered}

Step 4: Take the cube of both sides;

\begin{gathered} (x+2)^3=(\sqrt[3]{y+1})^3 \n (x+2)^3=y+1 \end{gathered}

Step 5: Expand the cube power;

Recall;

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

Applying the above, we'll have;

\begin{gathered} (x+2)^3=y+1 \n x^3+3x^2\cdot2+3x\cdot2^2+2^3=y+1 \n x^3+6x^2+12x+8=y+1 \end{gathered}

Step 6: Subtract 1 from both sides of the equation;

\begin{gathered} x^3+6x^2+12x+8-1=y+1-1 \n x^3+6x^2+12x+7=y \n \therefore y=x^3+6x^2+12x+7 \end{gathered}

Step 7: Replace y with h^-1(x);

h^(-1)(x)=x^3+6x^2+12x+7

A researcher calls 1,800 randomly chosen residential telephone numbers, and then asks to speak with an adult member of the household. The researcher asks, “How many 3D movies have you watched in a movie theater in the past 12 months?”4. What source of bias is likely for the question asked?

Answers

The bis which is likely for the given question by the researcher is response bias.

Given that,

A researcher calls 1,800 randomly chosen residential telephone numbers, and then asks to speak with an adult member of the household.

The researcher asks, “How many 3D movies have you watched in a movie theater in the past 12 months?”.

Response bias happens when the people who needs to respond does this in an inaccurate way or wrongly.

Here almost no people will be correctly remembering the exact number of movies they watched in a year.

Also, they may be volatile to social desirability and may say less or more number of movies.

So there happens a response bias.

Hence the correct bias is response bias.

Learn more about Response Bias here :

brainly.com/question/14493813

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N f(x) =10-2( x ), Solve when given f(12) function notation

Answers

Answer:

-14

Step-by-step explanation:

10 - 2(12) =  - 14

The accompanying summary data on total cholesterol level (mmol/l) was obtained from a sample of Asian postmenopausal women who were vegans and another sample of such women who were omnivores.Diet Sample Size Sample Mean Sample SD
Vegan 85.00 5.20 1.08
Omnivore 91.00 5.65 1.10

Calculate a 99% CI for the difference between the population mean total cholesterol level for vegans and population mean total cholesterol level for omnivores. (Use μvegan−μomnivore). Round to three decimal places.)
Interpret the interval.

a. We are 99% confident that the true average cholesterol level for vegans is less than that of omnivores by an amount within the confidence interval.
b. We are 99% confident that the true average cholesterol level for vegans is greater than that of omnivores by an amount within the confidence interval.
c. We are 99% confident that the true average cholesterol level for vegans is greater than that of omnivores by an amount outside the confidence interval.
d. We cannot draw a conclusion from the given information.

Answers

Answer: hey

Step-by-step explanation:

The logistic growth function Upper P left parenthesis x right parenthesis equals StartFraction 90 Over 1 plus 271 e Superscript negative 0.122 x EndFraction P(x)= 90 1+271e−0.122x models the​ percentage, P(x), of Americans who are x years old and have some coronary heart disease. Use this function to find the the percentage of 66 66​-year olds who have some coronary heart disease.

Answers

Answer:

about 83%

Step-by-step explanation:

Put the given value in the formula and do the arithmetic.

... P(66) = 90/(1 +271·e^(-0.122·66))

... = 90/(1 +271·e^-8.052)

... = 90/(1 +271·0.00031846)

... = 90/(1 +0.0863)

... = 90/1.0863

... = 82.8 . . . . percentage with some coronary heart disease

WILL GIVE MEDAL AND FAN! you invest $5,175.00 in a stock plan. it increases 9% the first year and then loses 5% of it's value the second year. what is your gain compared to your original investment?

Answers

Answer:

$183.7125

Step-by-step explanation:

Given,

Original investment, A = $ 5,175.00

In first year,

Thetotal investment = $ 5,175.00

The amount is increased by 9 %,

Thus, the final amount at the end of first year,

A_1=5,175(1+(9)/(100))^1

=5175(1+0.09)

=5175(1.09)

=\$ 5640.75

In Second year,

The total investment = $ 5640.75,

The amount is decreased by 5 %,

Thus, the final amount at the end of second year,

A_2=5640.75(1-(5)/(100))^1

=5640.75(1-0.05)

=5640.75(0.95)

=\$ 5358.7125

Hence,

\text{Total Gain}=A_2-A

=5358.7125-5175

=\$183.7125

5,175 + 9% = 5640.75

5640.75 - 5% = 5302.305

Original investment = 5,175
Gain                          = 5,302.305

Subtract them both and get = 127.305