Which is the graph of f(x) = 2 (4)?5
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3
4
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5
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Which is the graph of f(x) = 2 (4)? 5 - 1

Answers

Answer 1
Answer:

Graph of the function is attached below.

Correct option is D.

What is exponential function?

As the name suggests, the exponential function contains an exponent. Note, however, that the exponential function has a constant as its base and a variable as its exponent, not vice versa (if a function has a variable as its base and a constant as its exponent, it is a power function). The exponential function can be in one of the following forms:

Definition of exponential function

In mathematics, an exponential function is a function of the form f(x) = aˣ. where "x" is a variable and "a" is a constant  called the base of the function, which must be greater than 0.

Given, exponential function

f(x) = (1/4)4ˣ

exponential function is defined for x∈R

Putting x = 0

f(0) = (1/4)4⁰

f(0) = 1/4

Point on curve is (0,1/4)

Putting x = 1

f(1) = (1/4)4¹

f(1) = (1/4)4

f(1) = 1

Point on curve is (1,1)

Putting x = 2

f(2) = (1/4)4²

f(2) = (1/4)16

f(2) = 4

Point on curve is (2,4)

Putting x = 3

f(3) = (1/4)4³

f(3) = (1/4)64

f(3) = 16

Point on curve is (3,16)

Point (0, 1/4), (1, 1), (2, 4), (3, 16) can be used to draw graph of the function.

Hence, graph of the function is drawn as follows.

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Answer 2
Answer:

Answer:

The Third one

Step-by-step explanation:

Your Welcome :)


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On her way to work, a commuter encounters four traffic signals. Assume that the distance between each of the four is sufficiently great that her probability of getting a green light at any intersection is independent of what happened at any previous intersection. The first two lights are green for forty seconds of each minute; the last two, for thirty seconds of each minute.What is the probability that the commuter has to stop at least three times?
Dixie Showtime Movie Theaters, Inc., owns and operates a chain of cinemas in several markets in the southern U.S. The owners would like to estimate weekly gross revenue as a function of advertising expenditures. Data for a sample of eight markets for a recent week follow.MarketWeekly Gross Revenue($100s)Television Advertising($100s)Newspaper Advertising($100s)Mobile101.351.5Shreveport51.933Jackson74.841.5Birmingham126.24.34.3Little Rock137.83.64Biloxi101.43.52.3New Orleans237.858.4Baton Rouge219.66.95.8(a) Use the data to develop an estimated regression with the amount of television advertising as the independent variable.Let x represent the amount of television advertising.If required, round your answers to four decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)= + xTest for a significant relationship between television advertising and weekly gross revenue at the 0.05 level of significance. What is the interpretation of this relationship?The input in the box below will not be graded, but may be reviewed and considered by your instructor.(b) How much of the variation in the sample values of weekly gross revenue does the model in part (a) explain?If required, round your answer to two decimal places.%(c) Use the data to develop an estimated regression equation with both television advertising and newspaper advertising as the independent variables.Let x1 represent the amount of television advertising.Let x2 represent the amount of newspaper advertising.If required, round your answers to four decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)= + x1 + x2Is the overall regression statistically significant at the 0.05 level of significance? If so, then test whether each of the regression parameters β0, β1, and β2 is equal to zero at a 0.05 level of significance. What are the correct interpretations of the estimated regression parameters? Are these interpretations reasonable?The input in the box below will not be graded, but may be reviewed and considered by your instructor.(d) How much of the variation in the sample values of weekly gross revenue does the model in part (c) explain?If required, round your answer to two decimal places.%(e) Given the results in part (a) and part (c), what should your next step be? Explain.The input in the box below will not be graded, but may be reviewed and considered by your instructor.(f) What are the managerial implications of these results?The input in the box below will not be graded, but may be reviewed and considered by your instructor.

kayla has 2,000 stickers in her collection mariah had 1/100 of that amount how many stickers does mariah have

Answers

to find 1/100 of 2000 we divide 2000 by 100. mariah has 20 stickers.

2,000 times 1/100 on the calculator which gives you 20. Mariah has 20 stickers.

The difference of a number h and 8 is greater than 12 and less than 22

Answers

Answer:

12<|h-8|<22

Step-by-step explanation:

If H is 19 it will be the smallest number the variable H can possibly be to be greater than 12 less than 22 since that is equivalent to 10.

-sorry if wrong
Written by 7th grader

Two fair dice are tossed, and the following events are defined: A: {Sum of the numbers showing is odd}
B: {Sum of the numbers showing is 9,11, or 12}
Are events A and B independent? Why?

Answers

Answer:

A and B are not independent.

Step-by-step explanation:

Two events are said to be independent if :P(A \cap B)=P(A)P(B)

A: {Sum of the numbers showing is odd}

B: {Sum of the numbers showing is 9,11, or 12}

Given two dice, the sample space is given as:

(1,1), (2,1), (3,1), (4,1), (5,1), (6,1)

(1,2), (2,2), (3,2), (4,2), (5,2), (6,2)

(1,3), (2,3), (3,3), (4,3), (5,3), (6,3)

(1,4), (2,4), (3,4), (4,4), (5,4), (6,4)

(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)

(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)

The outcomes of event A:{Sum of the numbers showing is odd}  are:

(2,1),  (4,1), (6,1),  (1,2), (3,2),(5,2), (2,3), (4,3), (6,3)

(1,4), (3,4),  (5,4),  (2,5),  (4,5),  (6,5), (1,6), (3,6),  (5,6)

P(A)=18/36

The outcomes of event B:{Sum of the numbers showing is 9,11, or 12} are:

(6,3), (5,4),(4,5) (6,5), (3,6), (5,6), (6,6)

P(B)=7/36

The intersection of A and B are:

(6,3), (5,4),(4,5) (6,5), (3,6), (5,6)

P(A\cap B)=6/36

We can see from the above that:

P(A)P(B)=(7)/(36)*  (18)/(36)=(7)/(72)\neq P(A\cap B)

Therefore, events A and B are not independent.

Final answer:

The events A and B are dependent because the outcome of one event affects the probability of the other event happening.

Explanation:

The events A and B are dependent because the outcome of one event affects the probability of the other event happening. To determine if two events are independent, we need to check if the probability of the intersection of A and B is equal to the product of their individual probabilities.



Let's calculate the probabilities:



  1. For event A, we need to find the sum of the numbers showing on the dice. In a fair die, there are 3 odd numbers (1, 3, and 5) out of 6 possible outcomes. So, the probability of event A is 3/6 or 1/2.
  2. For event B, we need to find the sum of the numbers showing on the dice. There are three possible sums that satisfy event B: 9 (3+6, 4+5, 5+4), 11 (5+6, 6+5), and 12 (6+6). Out of the 36 possible outcomes, there are 6 outcomes that satisfy event B. So, the probability of event B is 6/36 or 1/6.
  3. Now, let's check if events A and B are independent by calculating the probability of their intersection. The intersection of A and B is the event that both the sum is odd (event A) and the sum is 9, 11, or 12 (event B). There are no outcomes that satisfy both events A and B. So, the probability of the intersection is 0.
  4. Finally, let's check if the product of the individual probabilities is equal to the probability of the intersection. The product of the individual probabilities is (1/2) * (1/6) = 1/12, which is not equal to 0. Therefore, events A and B are dependent.



In summary, events A and B are dependent because the outcome of one event affects the probability of the other event happening.

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Which polygons have at least one pair of parallel sides but are not parallelograms? Choose all that apply.

Answers

The correct option is polygon E.

What are polygons?

A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

Given that, Which polygons have at least one pair of parallel sides but are not parallelograms,

Such polygons are called trapezoid.

A trapezoid, also known as a trapezium, is a flat-closed shape having 4 straight sides, with one pair of parallel sides.

Hence, the correct polygon is E.

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C, E, F, D I’m pretty sure

Ava's dog weights 52 kilograms. Marty's dog weights 3/4 as much. Find the weight of Marty's dog in kilograms.

Answers

Marty's Dog = (3/4) * 52kg
= 39kg
Marty's dog would be 39 kilograms

The ratio of squirrels to chipmunks in the yard was 2:7. How many squirrels were in the yard if there were 49 chipmunks?Explain please.

Answers

Let the number of squirells be 2x and number of chipmunks be 7x ,



Given that number of chipmunks is 49, so

= > 7x = 49

= > x = 49 / 7

= > x = 7




So the number of squirells will be 2x = 2( 7 ) = 14


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