Kiara has​ $520 in her bank account. each week she deposits​ $80 and withdraws​ $35. gael has​ $310 in his account. each week he deposits​ $95 and withdraws​ $20. write and solve an equation to determine the week w when gael and kiara have the same amount of money in their accounts.

The measure of angle D in the quadrilateral abcd inscribed in the circle is given as follows:

m < D = 98º.

As the quadrilateral ABCD is inscribed in the circle, it means that the quadrilateral is cyclic, and then the two opposite angles in the circle are supplementary, meaning that the sum of their measures is of 180º.

Angles A and C are supplementary, meaning that the value of x is obtained as follows:

64 + 9x - 1 = 180

9x = 117

x = 117/9

x = 13º.

Then the measure of angle B is obtained as follows:

B = 6(13) + 4 = 78 + 4 = 82º.

Angles B and D are supplementary, as they are opposite angles in the cyclic quadrilateral, and hence the measure of angle D is obtained as follows:

m<D + 82 = 180

m<D = 180 - 82

m < D = 98º.

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The null hypothesis (H0) is that the machine is filling the bags of pretzels to the correct weight, that is, the mean weight of the bags is 8 ounces:

H0: μ = 8

The alternative hypothesis (Ha) is that the machine is not filling the bags to the correct weight, that is, the mean weight of the bags is different from 8 ounces:

Ha: μ ≠ 8

In this case, the worker's observation of a mean weight of 8.4 ounces in a sample of 40 bags suggests that the bags may be overfilled. To test this hypothesis, the worker would need to conduct a hypothesis test using appropriate statistical methods and a significance level to determine whether the observed difference is statistically significant or not.

The number of cruise passengers must there have been in 2017 is  26.7 million.

The term "percentage" comes from the Latin phrase "per centum," meaning "by the hundred." Percentages represent fractions with a denominator of 100. In other terms, it is the relationship between portion and whole in which the value of the whole is always assumed to be 100.

Now according to the question;

Let x represent the total number for cruise passengers during 2017.

In 2018, a 6.7% rise in x results in 28.5 million cruise passengers.

So, 106.7 % of x = 28.5

\(\begin{aligned}&\frac{106.7}{100} * x=28.5 \\&\frac{106.7 x}{100}=28.5\end{aligned}\)

Multiplying both sides by 100;

\(\begin{aligned}&\frac{106.7 x}{100} * 100=28.5 * 100 \\&106.7 x=2850\end{aligned}\)

Dividing both sides by 106.7;

\(\frac{106.7 x}{106.7}=\frac{2850}{106.7}\)

x = 26.7

Therefore, the number of cruise passengers in 2017 must have ranged from 26.7 million.

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Answer:

x = 2

y = 5

Step-by-step explanation:

We can say:

7 corresponds to y

(3 + 7.5) corresponds to 7.5

Plus, we can write a ratio

\( \frac{7}{y} = \frac{3 + 7.5}{7.5} \)

\( \frac{7}{y} = \frac{10.5}{7.5} \)

Cross multiplying, we can solve for "y",

\( \frac{7}{y} = \frac{10.5}{7.5} \)

\( \frac{7}{y} = 7 \times 7.5\)

y = 5

Again, using similarly, we can say:

(x + 5) corresponds to 5

(3 + 7.5 = 10.5) corresponds to 7.5

We can write a ratio:

\( \frac{x + 5}{5} = \frac{10.5}{7.5} \)

Cross multiplying and with the help of a but algebra, we can solve for "x", shown below:

7.5( x + 5) = 5 x 10.5

7.5x + 37.5 = 52.5

7.5x = 15

x = 2

Answer:

178 text messages

Step-by-step explanation:

You have do 7.05 times 3 and you get 21.15. Then you do 26.70 minus 21.15 and you get 5.55. Then you do 7.05 divided by 47 then you get 0.15.  SO each messages is 0.15 cents so you do 0.15 times 37 and you get 5.55 and then you add 21.15 and 5.55 and you get 26.70. Then you take 141 and add it to 37 and you get 178 as your answer          

Answer:

              The correct scale faction the first pentagon dilated by to create the second pentagon is 1.25.

Step-by-step explanation:

              Since the second pentagon is a dilation of the first pentagon, we can conclude these pentagons are similar, meaning the shape retained all of its previous angles, and all the corresponding sides are dilated by a common scale factor. Since we know the values of a pair of corresponding sides, we can use those to find the scale factor of dilation.

             The corresponding side of the original pentagon is 4 units, and the corresponding side of the dilated pentagon is 5 units. Since the first pentagon dilated to become the second, in order to solve the scale factor the pentagon dilated by, we'd have to divide the side given on the second pentagon by the corresponding side of the first, which will be 5 ÷ 4 = 1.25. Therefore, that will be the scale factor the pentagon dilated by.

Have a great day! Feel free to let me know if you have any more questions :)

Answer:

For real, Also, would you mind giving me brainliest?!

Step-by-step explanation:

Ty if u give me brainliest and ty for the points <3

Only one singlet is expected in the 1H NMR spectrum of 2,2,4,4-tetramethylpentane. So, correct option is A.

In the 1H NMR spectrum, the number of singlets corresponds to the number of unique hydrogen environments in the molecule. Each unique hydrogen environment, where the hydrogens are chemically equivalent, will produce a singlet peak.

In 2,2,4,4-tetramethylpentane, all the carbons are identical, and each carbon is bonded to three hydrogen atoms. The four methyl groups (-CH3) are also chemically equivalent to each other. Therefore, all the hydrogens in this molecule are in equivalent environments, and there are no differences between them.

Since all the hydrogens are chemically equivalent, they will produce a single peak in the 1H NMR spectrum. This single peak is called a singlet.

Hence, the correct answer is option a, as only one singlet is expected in the 1H NMR spectrum of 2,2,4,4-tetramethylpentane.

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Answer: Two singlets.

Step-by-step explanation:

The methyl groups are all equivalent with no neighbors, so they all give rise to only 1 peak.

There is a methylene group that gives rise to another peak.

So the total is 2 singlets.

7x - 9x - 2x+ 3x^2 - x^2

7x - 11x + 2x^2

2x^2 - 4x

Answer:

Collect like terms.

(2x+5x-9x-2x)-{x}^{11}+3{x}^{2}(2x+5x−9x−2x)−x11+3x2

Simplify.

-4x-{x}^{11}+3{x}^{2}−4x−x11+3x2

Done

Answer:

1/9 buckets of fish

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

The dolphins are fed 1/3 of a bucket of fish and the sea otters are fed 1/3 as much as the dolphins.

That is 1/3 of 1/3 buckets:

Answer:

........................................

904.32 inches²

Explanation:

diameter = 12 inches

diameter = 2(radius)

radius = diameter/2 = 12/2

radius = 6 inches

height = 8 inches

let π = 3.14

The formula for volume of a cylinder:

To the nearest hundredth, volume of cylinder is 904.32 inches²

Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

To apply the function `g` to the Y-Combinator, we start with the definition of the Y-Combinator: Y = λf.(λx.f(xx))(λx.f(xx)).

To apply a function to the Y-Combinator, we substitute the function `g` for the parameter `f` in the Y-Combinator expression. Let's perform the reduction step by step: Y(g) = (λf.(λx.f(xx))(λx.f(xx)))(g)
                                              = (λx.g(xx))(λx.g(xx))
Now, we can observe that the Y-Combinator expression has the form (λx.g(xx))(λx.g(xx)), which is a self-application of the function `g`. This self-application allows for recursion, as it passes the function `g` applied to its own result as an argument to `g` itself.

By applying the function `g` to the Y-Combinator, we obtain the expression (λx.g(xx))(λx.g(xx)), which represents the recursive behavior achieved by the Y-Combinator. This recursive structure allows for the creation of functions that can refer to themselves within their own definitions.

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We know that pair (B) (19 inches and 60 inches) can be a fair estimation of a circle's diameter and circumference.

So, let 'D' be the diameter and 'C' be the circumference.

Calculate C as:

(A) D = 5 m and C = 22 m

So, C = 15.7 m does not approximate 22 m.

(B) D = 19 in and C = 60 in

So, C = 59.66 approximates 60 in.

(C) D = 33 cm and D = 80 cm

So, C = 103.62cm does not approximate 80cm.

Therefore, we know that pair (B) (19 inches and 60 inches) can be a fair estimation of a circle's diameter and circumference.

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The correct question is given below:
Select all the pairs that could be reasonable approximations for the diameter and circumference of a circle. * 1 point A. 5 meters and 22 meters. B. 19 inches and 60 inches. C. 33 centimeters and 80 centimeters.

Answer:

y = 75 - 9d

Step-by-step explanation:

y = amount of $ left

An algebraic expression to represent the amount of money left over is y = 75 - 9d

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol can also be used to indicate the logical syntax's order of operations and other features.

Given that You have $75 and need to buy 9 books at the bookstore and each book costs d dollars.

Let y be the amount of $ left

Therefore, the expression would be;

y = 75 - 9d

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The critical number at x=1 represents a local minimum point in the function. Conversely, the critical number at x=-5 represents a local maximum point in the function,

The critical numbers for a continuous function f'(x) are found to be 1 and r = -5. To determine what happens at these critical numbers, the second derivative test is used, given that the second derivative is f" (x) = (x-1)(x+5)5.

The test results are inconclusive for the critical number at r = -5 as the second derivative is positive on both sides of this number. However, at the critical number x=1, the second derivative is positive, indicating a local minimum.

as the second derivative is negative on both sides of this number. Thus, using the second derivative test helps to identify the nature of the critical numbers and the local extrema in the function.

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We will use the second derivative test to determine the nature of the critical points of the function f(x).

At x = 1, f'(1) = 0 and f"(1) = (1-1)(1+5)5 = 0. This means that the second derivative test is inconclusive at x = 1.

At x = -5, f'(-5) = 0 and f"(-5) = (-5-1)(-5+5)5 = 0. Again, the second derivative test is inconclusive at x = -5.

Since the second derivative test is inconclusive at both critical points, we cannot determine the nature of these critical points using this test alone. We need to look at additional information to determine whether they are local maxima, local minima, or points of inflection.

However, we can say that it is not possible for there to be a local maximum at x = -5 and a local minimum at x = 1, as this would require the sign of f'(x) to change from negative to positive between these two points, which is not possible since f'(x) is continuous.

Therefore, the only possible answer is: Local maximum at x = 1; local minimum at x = -5.

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The data analytics life cycle is represented by this activity is Data reporting. So, the correct answer is D).

The activity of finding the average estimate for Symteco over the past three years represents the phase of data reporting in the data analytics life cycle. Data reporting involves analyzing and summarizing the collected data to extract meaningful insights and communicate the findings to stakeholders.

In this case, the data analyst is presenting the average estimate of Symteco, which is a key metric of interest. Data reporting includes creating reports, visualizations, or dashboards to effectively communicate the analyzed data and provide actionable insights to support decision-making.

It is an essential step to convey the results of data analysis and enable stakeholders to make informed decisions based on the findings. So, the correct option is A).

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--The given question is incomplete, the complete question is given below "  the data analyst is asked to find the average estimate for symteco over the past three years. Which phase of the data analytics life cycle is represented by this activity?

A. Data acquisition

B. Exploratory data analysis

C. Predictive modeling

D. Data reporting"--

Using imaginary unit i:

Recall i² = -1

-20 = -1 × 20 = i² × 20

in slope intercept form:

y=mx+b.

slope of line:

-3/4

y intercept:

(0, 5/2)

The another equivalent expression of total liquid is (x+2)/4.

Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.

x quarts liquid in the container 3/4 part of liquid is removed

Then remaining liquid in container = X - \(\frac{3}{4}X\)

Then remaining liquid in container = x/4quarts

Another 1/2 quart is poured into container

Then total liquid = \(X-\frac{3}{4}X+\frac{1}{2}\) quarts

total liquid = \(\frac{X+2}{4}\) quarts

So, then the another equivalent expression of total liquid is (x+2)/4.

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Applying the Pythagorean theorem, the length of segment VS in the diagram given is: D. 15 units

The theorem states that, the square of the hypotenuse of a right triangle = sum of the squares of the legs of the right triangle.

Given that TR = RV, therefore:

5x - 4 = 2x + 5

Solve for x

5x - 2x = 4 + 5

3x = 9

x = 3

TS = 6x - 3 = 6(3) - 3 = 15 units

TR = RV = 2x + 5 = 2(3) + 5 = 11 units

Find RS using the Pythagorean theorem:

RS = √(TS² - TR²) = √(15² - 11²) ≈ 10 units

Find VS using the Pythagorean theorem:

VS = √(RS² + RV²) = √(10² + 11²) ≈ 15 units

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Answer:

D. 15 units

Step-by-step explanation:

The person will need approximately 0.55 gallons of paint to paint the room.

To calculate the amount of paint needed, we need to first calculate the surface area that will be painted. The person will paint four walls and the ceiling of the room.

To calculate the surface area of the walls, we need to find the area of each wall and add them together. Since the room is rectangular, each wall has the same height of 8 ft. The width and length of each wall are:

- Wall 1: 9 ft x 8 ft = 72 ft²
- Wall 2: 9 ft x 8 ft = 72 ft²
- Wall 3: 2 ft x 8 ft = 16 ft²
- Wall 4: 2 ft x 8 ft = 16 ft²

The total surface area of the walls is: 72 ft² + 72 ft² + 16 ft² + 16 ft² = 176 ft²

To calculate the surface area of the ceiling, we need to find the area of the rectangle that represents the ceiling. The length and width of the ceiling are:

- Ceiling: 9 ft x 2 ft = 18 ft²

Therefore, the total surface area that will be painted is: 176 ft² + 18 ft² = 194 ft²

Since we know the surface area that will be painted, we can now calculate the amount of paint needed. The amount of paint needed depends on the type of paint and the manufacturer's instructions. Generally, paint coverage is measured in square feet per gallon. If we assume a coverage of 350 square feet per gallon, then the person will need:

- 194 ft² / 350 ft²/gal = 0.55 gallons of paint

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The equations that have the same solution as 2X -5 equals 15 is option B and option D.

Given equation:

2x -5 = 15

solve for value of x

2x = 15 + 5

2x = 20

divide by 2 on both sides

x = 20/2

x = 10

A. 2x =10

x = 10/2

x = 5

B. 2x = 20

x = 20/2

x = 10

C. 2(x -5) = 15

2x -10  = 15

2x =25

x = 25/2

x = 12.5

D. 2x - 20 = 0

2x = 20

x = 20/2

x = 10

E. 15 = 5 - 2x

2x = 5 - 15

2x = -10

x = -5

From the option A,B,C,D,E we observe that only options B , D x value matches with the given equation x value so option B and option D is correct.

Therefore he equations that have the same solution as 2X -5 equals 15 is option B and option D.

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When t = 1/4, the maximum amount of medication is present, which is 1/2.

Use the concept of exponential function defined as:

In daily life, we frequently use a mathematical function known as an exponential function.

It is mostly used to calculate investments, model populations, identify whether exponential growth or decline is occurring, and other things.

Given that,

The amount of medicine in the blood during a four-hour treatment is represented by \(me^{(4t)} = 2t\)

To determine when the amount of medicine reaches its maximum:

Find the maximum value of \(me^{(4t)} = 2t\).

Rewrite the equation as \(m = 2te^{(-4t)}\).  

To find the maximum value of m,

We need to identify this equation's critial points.

The derivative of m with respect to t is taken, and it is set to zero.

Taking the derivative, we get

\(\dfrac{dm}{dt} = 2e^{(-4t)} - 8te^{(-4t)}\)

Setting this equal to zero, we have:

\(2e^{(-4t)} - 8te^{(-4t)} = 0\)

Factoring out \(e^{(-4t)}\), we have:

\(e^{(-4t)}(2 - 8t) = 0\)

To find the critical points, set each factor equal to zero:

\(e^{(-4t)}= 0\) (which has no real solution)

2 - 8t = 0

Solving for t, we find

t = 2/8

t= 1/4.

Now, Returned to the original equation with this value of t, to find the corresponding maximum value of m:

\(me^{4t} = 2t\)

\(me^{(4 \times\frac{1}{4})} = 2 \times\frac{1}{4}\)

\(me = 1/2\)

Since e is an irrational number,

Therefore,

When t = 1/4, the dosage of medication reaches its maximum, which is 1/2.

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The complete question is:

The amount of medicine m in the blood during a four-hour treatment is given as  \(me^{(4t)} = 2t\). determine when the amount of medicine reaches maximum.

Answer:

djhvfhdvfhdfjhdjf

Step-by-step explanation:

dhfhjegfjhdbjfhbdjfgsdj

Based on the independent conditional probability assumption made by a Naïve Bayes classifier, the probability of observing a specific combination of values (Age >=30, Income=High, Purchase_last_yr=No, CC_balance=Low) given that the response is "Yes" can be calculated.

The Naïve Bayes classifier assumes that the features (variables) are conditionally independent given the response variable. In this case, we want to calculate the probability of observing the combination of values (Age >=30, Income=High, Purchase_last_yr=No, CC_balance=Low) given that the response is "Yes."

Using the conditional probability notation P(A|B) to represent the probability of A given B, we can calculate the probability of the specific combination of values given the response variable as follows:

P(Age >=30, Income=High, Purchase_last_yr=No, CC_balance=Low | Response = Yes) = P(Age >=30 | Response = Yes) * P(Income=High | Response = Yes) * P(Purchase_last_yr=No | Response = Yes) * P(CC_balance=Low | Response = Yes)

Each term on the right side of the equation represents the conditional probability of a specific feature given the response variable "Yes." To obtain these probabilities, you would need access to a labeled dataset with known responses and calculate the corresponding probabilities based on the observed frequencies.

Please note that this calculation assumes the Naïve Bayes assumption of feature independence, which may or may not hold true in real-world scenarios.

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Given:

Number of students = 312

Number to be chosen = 4

To find the number of ways this can happen, let's use combination meyhod.

Thus, we have:

Solving further, we have:

Therefore there are 387,278,970 ways this can happen

ANSWER:

387,278,970 ways

The direction of the rescue boat, obtained by representing the location of the sailboat using vectors is N 8.7° E

A vector is a quantity that posses the properties magnitude and direction.

The vector form of the motion of the sailboat can be presented as follows;

d = 8 × sin(12)·i + 8 × cos(18)·j

The next direction of the sailboat = 3 miles south = -3 j

Therefore, the distance and direction of the sailboat is; 8 × sin(12)·i + 8 × cos(18)·j + -3 j

The direction the rescue boat has to leave from the dock in order to intercept the sailboat is; arctan(3 + 8 × cos(18))/( 8 × sin(12)) ≈ 81.26°

The direction relative to the North = 90° - 81.26° ≈ 8.7°

The direction of the rescue both is N 8.7° E

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