shala bought a pen on sale. she saved 17 percent of the original price of $29. about how much money did she save?

The explicit formula for this sequence 6, 12, 24, 48, 96, .. is equal to aₙ = 6 * 2ⁿ⁻¹.

The sequence shown above is a geometric sequence because each term is obtained by multiplying the previous term by 2. To find the explicit formula for this sequence, we can use the formula:

aₙ = a₁ * rⁿ⁻¹

where:

aₙ = the nth term of the sequence

a₁ = the first term of the sequence

r = the common ratio between terms

n = the position of the term in the sequence

In this case, a₁ = 6 and r = 2, so the formula becomes:

aₙ = 6 * 2ⁿ⁻¹

Using this formula, we can find any term in the sequence by plugging in the value of n. For example, to find the 7th term, we would plug in n = 7:

a₇ = 6 * 2⁷⁻¹ = 6 * 2⁶ = 384

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They should use 6 cup of Noah's measuring cup

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Calculating the number of cup the should use:

Number of cup = Recipe call / Noah's cup

Number of cup = (3/4) / (1/8)

Number of cup = 3*8 / 4*1

Number of cup = 24/4

Number of cup = 6

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Correctly written question:

Melanie and Noah are baking a birthday cake for Francesca. The recipe call for 3/4 measuring cup and Noah has a 1/8 measuring cup. Which cup should they use?

An equation of a line parallel to y=2x-3 would be y=-2x-3.

Answer:

Step-by-step explanation:

First a translation then a reflection.

Answer:

A triangle.

Step-by-step explanation:

The plane would pass through opposite sloping faces of the pyramid and through the base; the shape formed is a triangle.

Rodger's weekly unemployment amount is $697.54

What is the total of the quarterly wages of two consecutive quarters?

The total of the of the quarterly wages of two consecutive quarters is the sum of first quarter and second quarter wages

total of quarterly wages=$13,950.80+$13,950.80

total of quarterly wages=$27,901.60

unemployment compensation=total of quarterly wages/26

unemployment compensation=$27,901.60 /26

unemployment compensation=$1,073.14

The weekly unemployment amount is 65% of Rodger's state, unemployment compensation

weekly unemployment=65%*$1,073.14

weekly unemployment=$697.54

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Answer:

337

Step-by-step explanation:

I remember this from UKMT maths challenge.

Let the number of kangaroos in each of the seven parks be , , , , , and with the

corresponding number of koalas being , , , , , and . The question tells us that the

number of kangaroos in any park is equal to the sum of the numbers of koalas in the other six

parks. Therefore we have

= + + + + + ,

= + + + + + ,

= + + + + + ,

= + + + + + ,

= + + + + + ,

= + + + + + ,

= + + + + + .

Adding these equations, we obtain

+ + + + + + = 6( + + + + + + ).

The total number of kangaroos in the seven parks is 2022. Hence

+ + + + + + = 2022.

Therefore

2022 = 6( + + + + + + )

and hence the total number of koalas in the seven parks is

+ + + + + + = 2022 ÷ 6 = 337.

Let's denote the number of sides of the regular polygon as "n".

The number of diagonals in any polygon can be calculated using the formula:

Number of diagonals = (n * (n - 3)) / 2

According to the given information, the number of diagonals is equal to four times the number of sides:

(n * (n - 3)) / 2 = 4n

To solve this equation for "n," we can start by simplifying:

n * (n - 3) = 8n

Expanding the equation:

n^2 - 3n = 8n

Rearranging terms:

n^2 - 11n = 0

Factoring out "n":

n(n - 11) = 0

Setting each factor equal to zero:

n = 0 or n - 11 = 0

Since the number of sides cannot be zero, we discard the solution n = 0.

Therefore, the regular polygon has n = 11 sides.

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we can estimate that 46 out of 100 students who purchase fruit will most likely purchase bananas.

We can use proportional reasoning to estimate the number of students who will most likely purchase bananas if 100 students purchase fruit. Since we know that 23 out of 50 students purchased bananas, we can set up a proportion:

23/50 = x/100

where x is the number of students who will most likely purchase bananas if 100 students purchase fruit.

To solve for x, we can cross-multiply:

23 × 100 = 50 × x

2300 = 50x

x = 2300/50

x = 46

Therefore, we can estimate that 46 out of 100 students who purchase fruit will most likely purchase bananas. This is just an estimate, and the actual number may be slightly different due to factors such as individual preferences and availability of different types of fruit.

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The next number in the pattern is 42 plus 8, so it is 50.

Here we have tthe sequence:

20, 22, 26, 42,

We can see that first we add 2, then we add 4, then we add 6, then the next number is 42 pplus 8, it gives:

42 + 8 = 50

That is the next number in the pattern.

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Answer:

P(both soccer and basketball) = \(\frac{18}{31}\)

Step-by-step explanation:

Let B, S denote number of students who play basketball and soccer.

As 31 play basketball, 59 play soccer and 18 of the students play both basketball and soccer,

\(n(B)=21\\n(S)=59\)

n(B∩S) = 18

To find P (Soccer |Basketball) that is P(S∩B),

use P(S∩B) = P(both soccer and basketball)/ P(B)

P(both soccer and basketball) = Number of students who play both soccer and basketball / Total number of students

= \(\frac{18}{145}\)

Also,

P(B) = Number of students who play basketball / Total number of students

= \(\frac{31}{145}\)

So,

P(S∩B) = \(\frac{\frac{18}{145} }{\frac{31}{145} }=\frac{18}{31}\)

That is

P(both soccer and basketball) = \(\frac{18}{31}\)

The statistical test in which the mean difference between two groups is compared to a distribution of differences between means is known as the t-test.

The one-way analysis of variance (ANOVA) is the suitable procedure in place of the t-test for a comparison of more than two group means. The ANOVA is interested in the locations of the distributions indicated by means as well since it has the same underlying assumptions as the t-test.

ANOVA is used to compare the means among three or more groups, while the Student's t-test is used to compare the means between two groups. First receives a shared P value in an ANOVA. The ANOVA test results with a significant P value for at least one pair where the mean difference was statistically significant.

From the above theory, the test specified above is termed as the t-test.

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Answer:

y=2x-8

Step-by-step explanation:

Every hour, temperatures INCREASE by two degrees, so 2x.

At the beginning (x=0), the temperature was -8 degrees, so -8.

So temperature as a function of time is y=2x-8

Answer:

y = 2x-8

Step-by-step explanation:

At the beginning = -8 F

Let y be the temperature and x be the no. of hours

So, the equation becomes

=> y = -8 + 2x

Writing it in proper form

=> y = 2x-8

Answer:

For 1 t-shirt, the cost is 11$.

Step-by-step explanation:

44 / 4 = 11

Plz mark as brainliest if this helped! Have a nice day!!!

-Lil_G

Answer:

44 dollars for 4 T-Shirts.

Let x be the price of one T-Shirt.

Equation: 44=4x

Divide by 4: x=11

Each T-Shirt costed 11 dollars.

Let me know if this helps!

The partial derivative \(\(f_{xyz}\)\) refers to the derivative of the function \(\(f(x, y, z)\)\) with respect to x, y, and z, in that order. To find this partial derivative for the function \(\(f(x, y, z) = e^{xyz^4}\)\), we proceed as follows:

First, we find the partial derivative of f with respect to x while treating y and z as constants. To do this, we differentiate \(\(e^{xyz^4}\)\) with respect to x, which gives us \(\(yz^4e^{xyz^4}\)\).

Next, we find the partial derivative of the result above with respect to y, treating x and z as constants. Differentiating \(\(yz^4e^{xyz^4}\)\) with respect to y yields \(\(z^4e^{xyz^4}\)\).

Finally, we find the partial derivative of the result above with respect to z, treating x and y as constants. Differentiating \(\(z^4e^{xyz^4}\)\) with respect to z gives us \(\(4z^3e^{xyz^4}\)\).

In conclusion, the partial derivative \(\(f_{xyz}(x, y, z)\)\) of the function \(\(f(x, y, z) = e^{xyz^4}\)\) is \(\(4z^3e^{xyz^4}\)\).

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To answer this question, we need to use the concept of the normal distribution and the given mean and standard deviation. The mean time for the pain reliever to begin reducing symptoms is 30 minutes.

To find the probability that it will take the medication between 32 and 37 minutes to begin to work, we'll use the mean, standard deviation, and the properties of a normal distribution.

Step 1: Calculate the z-scores for 32 and 37 minutes.
The z-score is the number of standard deviations a value is from the mean. The formula for the z-score is:
z = (X - μ) / σ
where X is the value, μ is the mean, and σ is the standard deviation.
For 32 minutes:
z1 = (32 - 30) / 8.7 ≈ 0.23
For 37 minutes:
z2 = (37 - 30) / 8.7 ≈ 0.80

Step 2: Find the probabilities corresponding to the z-scores.
You can use a z-table or an online calculator to find the probabilities for each z-score.
For z1 = 0.23, the probability is ≈ 0.5910
For z2 = 0.80, the probability is ≈ 0.7881

Step 3: Calculate the probability between the two z-scores.
Subtract the probability of z1 from the probability of z2:
P(32 < X < 37) = P(z2) - P(z1) = 0.7881 - 0.5910 ≈ 0.1971

So, the probability that it will take the medication between 32 and 37 minutes to begin reducing symptoms is approximately 19.71%.

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Answer:

Step-by-step explanation:

The domain is the set of x-coordinates.

The domain of the function f(x) is:

The correct options are:

PR = RQ

PR = RQ = 2.3

To determine the relationship between the sides of triangle PQR, we can set up equations based on the given lengths:

PR = 3x - 0.4

PQ = x + 0.1

RQ = x + 1.4

Let's evaluate the options:

Option 1: PR = 3x

This option is not correct because PR is given as 3x - 0.4, not just 3x.

Option 2: PQ = 1

This option is not correct because PQ is given as x + 0.1, not just 1.

Option 3: PR = RQ

To determine if PR = RQ, we need to equate their expressions:

3x - 0.4 = x + 1.4

Simplifying this equation:

3x - x = 1.4 + 0.4

2x = 1.8

x = 0.9

So, PR = 3(0.9) - 0.4 = 2.7 - 0.4 = 2.3

RQ = 0.9 + 1.4 = 2.3

Therefore, PR = RQ, and this option is correct.

Option 4: PR = RQ = 2.3

This option is also correct as PR = RQ = 2.3.

In summary, the correct options are:

PR = RQ

PR = RQ = 2.3

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The correct option is A. Write-in adjustments All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are indicated as write-in adjustments.

All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are referred to as write-in adjustments. Line 36 of Schedule 1 is where all write-in adjustments are reported. You have to provide a brief explanation of the adjustment and the corresponding amount for each write-in adjustment.If the IRS has developed an input line for a particular write-in adjustment, taxpayers must use that input line to report the adjustment. 

When writing in adjustments, taxpayers must ensure that the amount they enter is calculated and that they have a reasonable explanation for the adjustment. Taxpayers may be required to provide documentation to support the adjustment if the IRS requests it.

Miscellaneous adjustments and miscellaneous deductions are not used to describe all above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040).

Therefore, options C and D are incorrect. The correct option is A. Write-in adjustments.

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Answer:

i dont see a number line, attach a pic pls

Step-by-step explanation:

The maximum possible number of elements in set B is 62.

A set contains elements or members that can be mathematical objects of any kind, including numbers, symbols, points in space, lines, other geometric shapes, variables, or even other sets. A set is the mathematical model for a collection of various things.

The universal set is A consisting of the primary one hundred positive integers.

Now, Set B is a subset of A.

Set B might be made up of the first 62 positive numbers, for example.

Only then is 123 the largest number that can be formed by adding all the components of set B.

Set B contains 62 items altogether.

Additionally, we can carefully swap out one or more pieces from set B and add them to its complement.

In the majority of these cases, set B may have 62 elements.

Therefore, we get the number of elements in set B will be 62.

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To determine how far due North the ship is from its starting position, we need to use trigonometry. Given that Ship B is 100m east of Ship A and the bearing from Ship A to Ship B is 30°, we can use the sine function to calculate the distance due North.answer is 50m.

Given that Ship B is 100m east of Ship A and the bearing from Ship A to Ship B is 30°, we can use trigonometry to determine the distance due North.
Using the sine function, we can calculate the opposite side length (the distance due North) by taking the sine of the given angle and multiplying it by the adjacent side length (the distance between the ships). In this case, the distance due North is represented by y, the angle is 30°, and the distance between the ships is 100m.
Using the equation y = sin(30°) * 100m, we can calculate the distance due North. Taking the sine of 30° (which is 0.5), we have y = 0.5 * 100m = 50m.
Therefore, the ship is located 50 meters due North from its starting position.

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Ship B is approximately 57.74 meters due north from Ship A. This was determined by using trigonometric functions to solve the question.

The subject of this problem relates to trigonometry. Here, we need to determine the distance from Ship A to the location of Ship B due north, given that the bearing of Ship B from Ship A is 30° and the horizontal distance (eastwards) is 100m.

Let’s define the distance of ship B due north from ship A as y. The bearing of Ship B from Ship A forms a right-angled triangle. In this triangle, the horizontal distance of Ship B from Ship A is the adjacent side, and the distance we need to find is the opposite side.

We use the tangent function, which is the ratio of the opposite side to the adjacent side in a right-angled triangle:

Tan(30) = y/100

Rearranging this equation gives:

y = 100 * Tan(30)

By calculating this equation, we find that the distance of Ship B due north from Ship A is approximately 57.74 meters.

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The probability that Bob hits his first home run before his 25th plate appearance of the season is 0.3511, which is approximately 35.11%.

The probability that Bob hits his first home run before his 25th plate appearance of the season, denoted as P, can be expressed mathematically as:

P = 1 - P(X ≥ 25)

where P(X ≥ 25) is the probability that Bob hits his first home run on or after his 25th plate appearance.

Given that  

\(\[ P(X \geq 25) = \left(1 - p\right)^{25-1} \]\)

, where p = 1/18.38 = 0.0544, we can substitute the values:

\(\[ P = 1 - \left(1 - 0.0544\right)^{25-1} \]\)

Simplifying further:

P = 1 - 0.6489

Hence, the mathematical expression for the probability that Bob hits his first home run before his 25th plate appearance is:

P = 0.3511

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The probability that Bob hits his first home run before his 25th plate appearance of the season is \(1 - (1 - (1/18.38))^{24}\).

To find the probability that Bob hits his first home run before his 25th plate appearance of the season, we can use the concept of geometric probability. Geometric probability is used to calculate the probability of a specific event occurring within a sequence of independent trials.

In this case, Bob hitting a home run is the event we are interested in, and each plate appearance represents an independent trial. We are given that Bob hits a home run once every 18.38 plate appearances.
To calculate the probability, we need to find the complement of the event (the probability of not hitting a home run in the first 24 plate appearances) and subtract it from 1.
The probability of not hitting a home run in one plate appearance is 1 minus the probability of hitting a home run, which is 1 - (1/18.38).
To find the probability of not hitting a home run in the first 24 plate appearances, we raise this probability to the power of 24, since each plate appearance is an independent trial.
So, the probability of not hitting a home run in the first 24 plate appearances is ( \(1 - (1 - (1/18.38))^{24}\).
To find the probability of hitting the first home run before the 25th plate appearance, we subtract the probability of not hitting a home run in the first 24 plate appearances from 1.

Calculating this probability, we find that Bob has approximately a 49.2% chance of hitting his first home run before his 25th plate appearance of the season.

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✿Answer:

✂----------------------

Let, number of wristbands = x

number of belts = y

\(x+y=30\)  ➞ \(x~5.5\)

\(5.50x+8.75y=204\) \(x1\)

\(5.50x+5.5y=165\\5.5x+8.75y=204\\---------\\-3.25y=-39\)

\(y=-39/3.25\)

\(y=12\)

\(x=30-12=18\)

\(So, Both~ sold ~18 ~wristbands ~and ~12~ belts\).

❄❄❄❄❄❄

The solution process is correct; however, because of the wrong equation, the resulting final equation is not a true statement.

a. Statement:For every non-negative integer n, 2^n + 6^n is even.

Let n e N. Then 2^n +6^n = 2^n(1+3^n).

Since 2^n is even and the product of an even number and another number is even, we have that 2^n + 6^n is even as required.

The fundamental error is: the statement that the product of an even number and another number is even is a generalization that only applies to cases where the other number is also an integer.

As 3^n is not necessarily an integer, it may not follow that 2^n + 6^n is even for all non-negative integers n.

b) Let θ be a real number. Statement: cos4θ=8cos^2 (θ) - 8cos^2(θ)+1

Proof: Since cos(2x)=2 cos^2 x-1 for all real numbers , taking x = 2θ,tells us 2 cos2(2θ) -1 =8 cos^4(θ) - 8 cos^2(θ)+1. Adding one to both sides and dividing by two yields, cos^2(2θ)=4 cos^4(θ)-4 cos^2(θ)+1.

Using the double angle formula again, we get (2 cos^2(θ) -1)(2 cos^2) -1)= 4 cos^4(θ) -4 cos^2(θ)+1

This implies 4 cos^4(θ) - 4 cos^2(θ) +1 = 4 cos^4(θ) - 4 cos^2(θ) +1

The fundamental error is: the equation (2 cos^2(θ) -1)(2 cos^2) -1)= 4 cos^4(θ) -4 cos^2(θ)+1 is not correct because it should be (2 cos^2(θ) -1)(2 cos^2(θ) +1)= 4 cos^4(θ) -4 cos^2(θ)+1.

The solution process is correct; however, because of the wrong equation, the resulting final equation is not a true statement.

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Answer:

The measure of angle BED is 78°

Step-by-step explanation:

Hopefully you can see what I did there.