If 3^2x+1 - 3^x+5, what is the value of x?

Total cost of the food with delivery for Danielle is given by approximately $ 29.69.

Danielle ordered food for a party which costs = $118.75

Now she also gave the delivery person a 25% tip.

So the amount of tip which she paid to the delivery person is given by

= 25 percent of the amount $118.75

= 25% of the amount $118.75

= $(118.75*(25/100))

= $(118.75*(1/4)) [eliminating the similar terms from the numerator and denominator of the fraction 25/100]

= $ 29.6875

= $ 29.69 [Rounding off to the nearest cent]

Hence the total cost of food with the delivery is $ 29.69.

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Answer:

The answer is (-9, 5). Hope this helps.

Answer:

x = 2.5, y = 0.5

Step-by-step explanation:

\(10x - 16y = 17\\3x + 3y = 9\)

Isolate for x or y on the equation of choice (Just choose a random one)

\(3y = 9 - 3x\\y = 3 - x\)

Sub new equation into the other equation

\(10x - 16(3-x) = 17\\10x -48 + 16x = 17\\26x = 65\\x = 2.5\)

Sub x into new equation

\(y = 3 - x\\y = 0.5\)

Answer:

104

Step-by-step explanation:

You add 65+ 39 and that gives you 104

Answer:

Tickets * cost - 10

Step-by-step explanation:

5*cost-10

Both the graphs have same slope and are parallel and g(x) is translated 3 units down the y - axis.

The general equation of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept

We have the following functions -

f(x) = -4x

g(x) = -4x - 3

Refer to the graph attached. The graph of g(x) is the graph of f(x) shifted 3 units downwards. Both the graphs have same slope and are parallel.

Therefore, both the graphs have same slope and are parallel and g(x) is translated 3 units down the y - axis.

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Answers:

=====================================================

Explanations:

Answer:

1) B

2) 17 1/3

Step-by-step explanation:

1)

It's B because a proportional relationship doesn't add a number at the end.

It's on y = kx, where k = 1/4 in this case.

2)

9x = 35

x = 3 8/9

6x = 17 1/3

Answer:

  8.3 ft

Step-by-step explanation:

You want the height of the top of a 13 ft ladder whose base is 10 ft from the side of a house.

The ladder represents the hypotenuse of a right triangle with legs of 10 ft and the height up the side of the house.

  a² +b² = c² . . . . . . . . Pythagorean relation

  a² +10² = 13² . . . . . . . known values filled in

  a² = 169 -100 = 69 . . . . subtract 10²

  a = √69 ≈ 8.3 . . . . . . . . . . . take the square root

The top of the ladder is about 8.3 feet from the ground.

The formula for the general term a_n of the sequence is a_n = 6n - 4.

Given sequence: (2, 8, 14, 20, 26, ...)

Step 1: Observe the sequence and find the common difference.
Notice that the difference between each consecutive term is 6:
8 - 2 = 6
14 - 8 = 6
20 - 14 = 6
26 - 20 = 6

Step 2: Recognize that this is an arithmetic sequence.
Since there is a common difference between consecutive terms, this is an arithmetic sequence.

Step 3: Write the formula for an arithmetic sequence.
The general formula for an arithmetic sequence is a_n = a_1 + (n - 1) * d, where a_n is the nth term, a_1 is the first term, n is the position of the term, and d is the common difference.

Step 4: Plug in the known values and find the formula for the given sequence.
We know that a_1 = 2 and d = 6, so the formula for the sequence is:
a_n = 2 + (n - 1) * 6

Step 5: Simplify the formula.
a_n = 2 + 6n - 6
a_n = 6n - 4

The formula for the general term a_n of the sequence is a_n = 6n - 4.

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Answer:

n=m/p-6

Step-by-step explanation:

transposing we get n to be m/p-6

Answer:

675 miles

Step-by-step explanation:

450 : 2 = 225

10 gallons of gas = 225 miles

225 * 3 = 675

30 miles will get you 675 miles

Answer:

1. 360

2. 6,000

Step-by-step explanation:

Answer:

Slope: m = (y2 - y1)/(x2 - x1) = (-5 - 3)/(14 - 6) = -8/8 = -1

The equation of the line is y = -x + b

Substitute (6,3) into the equation:

3 = -6 + b

b = 9

Therefore, the equation of the line is y = -x + 9

Step-by-step explanation:

This is a passage from an essay published by a British writer in the 1750s.

The writer explores the idea that pleasure is rarely found where it is sought and that unexpected sparks can bring the brightest blazes of gladness.

The writer argues that merriment is often hopeless, as pre-planned schemes of humor can lead to discontent and anger.

Instead, true wit and humor come from chance and cooperation with fortune. The writer also explores the idea of travel and how the anticipation of pleasure is often shattered by the reality of dusty roads, bad food, and disappointing encounters.

Overall, the style of the passage is conversational and digressive, with a lyrical quality to the language.

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The correct statement regarding Python indentation is that incorrect indentation will result in an "IndentationError."

The correct output for the given "for" loop and "range" function is:

99 88 77 66 55 44 33 22 11 0 -11

Regarding the statement about a "Fatal" logic error in Python, the correct answer is:

In script mode - Python displays a traceback, then terminates the script.

When a fatal logic error occurs in Python during script execution, Python will display a traceback message that provides information about the error, such as the line where it occurred, and then terminates the script. This traceback message helps in debugging the code and identifying the cause of the error.

In interactive mode, if a fatal logic error occurs, Python will also display a traceback message but will not terminate the entire session. Instead, it will allow you to continue entering new commands or snippets of code.

Regarding Python indentation, the correct statement is:

Incorrect indentation will result in an "IndentationError."

Python relies on indentation to define the grouping and structure of code blocks. It uses consistent indentation to determine which lines of code belong to a particular block, such as loops or conditional statements. If the indentation is incorrect or inconsistent, Python will raise an "IndentationError" and the code will not run successfully.

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Answer:

It'll have an open circle on both 7 and 21, with a line connecting.

Which is none of the options, unless one isn't shown?

Step-by-step explanation:

-23 > -4x + 5 > -79

So:

-23 > -4x + 5

-23 - 5 > -4x

-4x < -28

x > -28 / -4

x > 7

-4x + 5 > -79

-4x > - 79 - 5

-4x > -84

x < -84 / -4

x < 21

Answer:

The answer would be D

Step-by-step explanation:

Answer:

3 - 2x, see below

Step-by-step explanation:

Three minus the product of two and a number x

Bolded words are important:

3 - (2 * x)

or

3 - 2x

A continuous variable is numeric, can be summarized with a mean, and can be summarized with a standard deviation.

A continuous variable is a type of quantitative variable that can take any value within a specific range. It is represented by numeric values and can be measured on a continuous scale. Examples of continuous variables include height, weight, temperature, time, and distance.

On the other hand, a continuous variable does not have categories. It represents a spectrum of values rather than distinct categories or groups. Categorical variables, on the other hand, are qualitative and have distinct categories or groups, such as gender, marital status, or type of car. Therefore, the statement "a continuous variable has categories" is incorrect.

In summary, a continuous variable is numeric and can be summarized using measures like the mean and standard deviation, but it does not have categories or distinct groups.

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Costo de opcion 1: y = 0.05x + 20

Costo de opcion 2: y = 0.20x + 5

500 (250 cada uno) mensajes en opcion 1: y = 0.05(500) + 20 = 25 + 20 = 45

500 (250 cada uno) mensajes en opcion 2: y = 0.20(500) + 5 = 100 + 5 = 105

Como cada quien paga la mitad:

Pago en opcion 1: 45/2 = $22.50

Pago en opcion 2: 105/2 = $52.50

Respuesta:

Pago en opcion 1: $22.50

Pago en opcion 2: $52.50

The z-score of the observation 12 is -1.

A z-score (also called a standard score) is a way to measure how far an observation is from the mean of a dataset in terms of standard deviations. It tells us how many standard deviations an observation is above or below the mean. The formula to calculate the z-score is:

z = (x - μ) / σ

where x is the observation, μ is the mean of the dataset, and σ is the standard deviation of the dataset.

A positive z-score means that the observation is above the mean, while a negative z-score means that the observation is below the mean. The magnitude of the z-score tells us how far the observation is from the mean in terms of standard deviations.

For example, a z-score of 2 means that the observation is 2 standard deviations above the mean, while a z-score of -1.5 means that the observation is 1.5 standard deviations below the mean.

Z-scores are useful in statistics because they allow us to compare observations from different datasets that may have different scales and units. By standardizing the values in terms of standard deviations, we can make meaningful comparisons between datasets and draw conclusions about the relative positions of observations within each dataset.

In the given problem, we are given an observation 12, a mean of 20, and a standard deviation of 8. By plugging these values into the formula for calculating the z-score, we get a value of -1. This means that the observation 12 is 1 standard deviation below the mean of the dataset.

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Answer:

4922 more

Step-by-step explanation:

15,498-10,576=4922

Answer:

Step-by-step explanation:

From the picture attached,

                 Statements                                        Reasons

1). In ΔABC, DE intersects AB and AC  1). Given

2). DE║BC                                              2). Given

3). ∠ADE ≅ ABC                                    3). Corresponding angles postulate

4). ∠AED ≅ ∠ACB                                 4). Corresponding angles postulate

5). ΔADE ~ ΔABC                                  5). AA similarity postulate

6). \(\frac{AD}{AB}=\frac{AE}{AC}\)                                           6). Definition of two similar triangles

Hence proved.  

The ordered pair that show a combination of 12 coins from the graph is (10, 2)

from the question, we have the following parameters that can be used in our computation:

The graph

The purple line represents the combination of 12 coine

Using the above as a guide, we have the following:

The equation is

x + y = 12

From the list of options, we have

(10, 2): 10 + 2 = 12

Hence, the ordered pair is (10, 2)

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When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .

According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.

The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.

Therefore,

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

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Answer: the third option

Step-by-step explanation:

Answer:

\( \rm Numbers = 4 \ and \ -3.\)

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

\(\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}\)

Hence the numbers are 4 and -3

Let integers be x and x-1

ATQ

\(\\ \sf\longmapsto 2x-1=1\)

\(\\ \sf\longmapsto 2x=1+1\)

\(\\ \sf\longmapsto 2x+2\)

\(\\ \sf\longmapsto x=\dfrac{2}{2}\)

\(\\ \sf\longmapsto x=1\)

Now

\(\\ \sf\longmapsto x-1=1-1=0\)

But

Integers can be x and 1-x as their sum is 1

\(\\ \sf\longmapsto x(1-x)=-12\)

\(\\ \sf\longmapsto x- x^2=-12\)

\(\\ \sf\longmapsto x^2-x-12=0\)

\(\\ \sf\longmapsto x^2-4x+3x-12=0\)

\(\\ \sf\longmapsto x(x-4)+3(x-4)=0\)

\(\\ \sf\longmapsto (x-4)(x+3)=0\)

\(\\ \sf\longmapsto x=4,-3\)