whose musical instrument costs more, felipe's or samantha? Explain you will be brainliest​

Yes , the integer k is divisible by 4 and statement (1) alone is sufficient to determine that k is divisible by 4.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

To determine if the integer k is divisible by 4, let's analyze the given statements:

Statement (1): 8k is divisible by 16.

This means that 8k is a multiple of 16. Since 16 is divisible by 4, we can conclude that k must be divisible by 4 as well. Therefore, statement (1) alone is sufficient to determine that k is divisible by 4.

8k = 16

k = 2

b)

This statement does not provide direct information about the divisibility of k by 4. While 12 is divisible by 4, the fact that 9k is divisible by 12 does not guarantee that k itself is divisible by 4.

9k = 12

k = 12/9

k = 4/3

So , it is not an integer

In conclusion, statement (1) alone is sufficient to determine that k is divisible by 4. Statement (2) is not sufficient on its own.

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The cost per second to power such a circuit during the peak usage period is approximately \(2.376 x 10^-6\)$/s. The cost per second to power the circuit during the peak usage period can be calculated using the following steps:

Calculate the power consumption of the device-The power consumption of the device can be calculated using the formula: Power = Voltage x Current. P = V x I, Substituting the given values:

P = 110V x 0.12A

= 13.2 W

Calculate the cost per second-The cost per second can be calculated using the formula:

Cost per second = Power x Cost per Joule

C = P x CC

= 13.2 W x 1.8 x \(10^-7\) $/J

≈ 2.376 x 10^-6 $/s

Therefore, the cost per second to power such a circuit during the peak usage period is approximately 2.376 x\(10^-6\) $/s.

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The dimensions of the region which enclose the maximum area is a side of 162 feet and vertical segment of 108 feet

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the side parallel to the vertical segment and y represent the other side. If the farmer has 648 feet of fencing, hence:

x + x + y + y + x = 648

3x + 2y = 648

y = 324 - 1.5x

Area (A) = xy

A = xy

A = x(324 - 1.5x)

A = 324x - 1.5x²

The maximum area is at A' = 0, hence:

A' = 324 - 3x

324 - 3x = 0

3x = 324

x = 108 feet

y = 324 - 1.5(108) = 162 feet

x = 108 feet, y = 162 feet

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Answer:

She will save $5.25

Step-by-step explanation:

21 x 25% = 5.25

Answer:

5.25

Step-by-step explanation:

100% -> 21

25%-> 5.25

The probability that the number of people who show up will exceed the capacity of the plane is 60.1%.

Let X be the number of people who show up for the flight. We want to find the probability that X exceeds the capacity of the plane, which is 76.

Since the airline estimates that 96% of people booked on their flights actually show up, we can model X as a binomial random variable with n = 78 and p = 0.96. The probability mass function for X is:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items.

To find the probability that X exceeds 76, we need to calculate the following sum:

P(X > 76) = P(X = 77) + P(X = 78)

Using the binomial distribution, we can calculate these probabilities as follows:

P(X = 77) = (78 choose 77) * 0.96^77 * 0.04^1 = 0.381

P(X = 78) = (78 choose 78) * 0.96^78 * 0.04^0 = 0.220

Therefore, the probability that the number of people who show up will exceed the capacity of the plane is:

P(X > 76) = P(X = 77) + P(X = 78) = 0.381 + 0.220 = 0.601

Thus, there is a 60.1% chance that the number of people who show up for the flight will exceed the capacity of the plane.

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Answer: C

Step-by-step explanation: The slope of Function A is 6 and the slope of Function B is 5.

Answer:

2 over 5

Step-by-step explanation:

1.-4-x=3x+6

  6+4=3x+x

10=4x

Which number can divide 10 and 4 and that number is 2.

2 divided by 5.

(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.

(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.

To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.

Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.

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Answer:

5, -5

Step-by-step explanation:

We have the problem x^2+5=30

Same to both sides

x^2=25

And 25 is a perfect square, x = 5

BUUUUUUUT..........

x could also equal to -5 because no numbers that are squared can be negative

Confused?

Squaring a number means doing the number multiplied by itself

A negative multiplied by a negative equals a positive

A positive multiplied by a positive equals a positive

Under no circumstances can something squared be a negative number

-5*-5 also equals 25.

So those are your two numbers

Let me know if you have any questions

1. The exact answer for the total surface area of the right circular cylinder is 5986.4 square feet

2. the exact answer for the total surface area of the right circular cone is 10408.4 square feet.

1. The formula to find the total surface area of the right circular cylinder with radius r and height h is:

2πr(h + r)

So, substituting r = 17 and h = 39, we get the total surface area of the right circular cylinder as follows:

2πr(h + r)

= 2π(17)(39 + 17)

= 2π(17)(56)

= 1904π

Therefore, the exact answer for the total surface area of the right circular cylinder is 1904π square feet. Rounding off to the nearest tenth, we get the approximation as: 1904π ≈ 5986.4 square feet.

2. The formula to find the total surface area of the right circular cone with radius r and height h is:

πr(l + r),

where l is the slant height of the cone and is given by:

l = \(\sqrt{(r^2 + h^2)}\)

So, substituting r = 39 and h = 52, we get the total surface area of the right circular cone as follows:

πr(l + r)

= π(39)\(\sqrt{[((39^2 + 52^2)) + 39] }\)

= π(39)(85) = 3315π

Therefore, the exact answer for the total surface area of the right circular cone is 3315π square inches. Rounding off to the nearest tenth, we get the approximation as: 3315π ≈ 10408.4 square inches.

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Answer:

No

Step-by-step explanation:

If you divide 6 by 7, it is not equal to the number you get when you divide 1 by 2, therfore making them not equavalent.

~~~Harsha~~~

Answer:

No, the are not equivalent

Step-by-step explanation:

The ratios 6:7 & 1:2 are already in their simplest form, meaning we can't simple them anymore.

6:7 ≠ 1:2

Answer:

3

Explanation:

Apply Multiplicative Distribution Law:

{x + y =9

{8x + 24y = 120

Reduce the greatest common factor on both sides of the equation.

{x + y = 9

{x + 3y = 15

Subtract the two equations: x + y - (x +3y) = 9 - 15

Remove paranthesis: x + y - x - 3y = 9 - 15

Cancel the unknown variables: y - 3y = 9 - 15

Combine like terms: -2y=9 - 15

Calculate the sum or difference: -2y = -6

Reduce the greatest common factor on both sides of the equation: y =3

Substitute one unknown quantity into the elimination: x + 3 = 9

Rearrange unknown terms to the left side of the equation: x = 9 - 3

Calculate the sum or difference: x = 6

Write the solution set of equations: {x = 6

                                                           {y = 3

Substitute: 6 - 3

Calculate the sum or difference: 3

Answer: 3

Answer:

8\(\pi\)

Step-by-step explanation:

area=\(\pi\)\(r^{2}\)

\(\pi\)\(4^{2}\)

16\(\pi\)

since it is a semicircle, cut that number in half.

Answer:

25.12units squared

Step-by-step explanation:

A = \(\frac{\pi r^2}{2}\) or \(\frac{3.14r^2}{2}\)

r = 4

3.14 x 4^2 = 50.24

50.24/2 = 25.12

The amount of aspirin that is left in her system after 6 hours is 2.344 mg.

In Mathematics and Statistics, a population or substance that decreases at a specific period of time represent an exponential decay. This ultimately implies that, a mathematical model for any population or substance that decreases by r percent per unit of time is an exponential equation of this form:

\(P(x) = I(1 - r)^x\)

Where:

By substituting given parameters into the formula, we have the following:

\(P(x) = I(1 - r)^x\\\\P(6) = 150(1 - 0.25)^6\\\\P(6) = 150(0.75)^6\)

P(6) = 2.344 mg.

In conclusion, we can reasonably infer and logically deduce that the decay rate is equal to 75%.

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rand() % 6 expression is most appropriate for randomly choosing a day of the week .

Rand generates random number and This number is produced using an algorithm that, each time it is run, outputs a string of numerical values that seem unrelated.

A % B generates the number less than or equal to the B.

Therefore , for randomly choosing a day of the week we can use  rand() % 6 as there are 7 days in a week and  rand() % 6 returns any number between 0 to 6 as Total 7 days.

The best statement for choosing a day of the week at random is rand()% 6.

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The least-squares linear correlation coefficient for the given dataset can be determined using the Desmos graphing calculator. The options provided are: r=0.74, r=0.938, r=0.968, and r=0.811.

To find the least-squares linear correlation coefficient, we need to calculate the Pearson correlation coefficient (r). This coefficient measures the strength and direction of the linear relationship between two variables. In this case, the dataset consists of pairs of values (x, y).

Using the Desmos graphing calculator, we can input the dataset and generate a scatter plot. Then, by selecting the option to display the line of best fit or the regression line, we can obtain the equation of the line and the value of r, the least-squares linear correlation coefficient.

Based on the options provided, we need to calculate the value of r using the Desmos graphing calculator and compare it to the given options. After performing the calculations, the correct answer is the option that matches the calculated value of r.

Therefore, the option that corresponds to the least-squares linear correlation coefficient calculated using the Desmos graphing calculator for the given dataset should be selected as the answer.

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Given,

∠1 ≅ ∠2

∠2 ≅ ∠3 ⇒ Transitive property of congruence

We have to prove that ∠3 ≅ ∠4.

For that, here given the flow chart.

We have to complete the flow chart by using the given statements.

That is,

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Answer: x = 5

Step-by-step explanation:

10x and 130 degrees are supplementary, because they are interior angles and the lines are parallel.

10x + 130 = 180

10x = 50

x = 5

Answer:

{19,13,7,1}

Step-by-step explanation:

Since the domain is the input we have to plug in each of those numbers to get the range ( or the output.) When we plug in -4 we get 19. When we plug in -2 we get 13, when we plug in 0 we get 7 and when we plug in 2 we get 1. (:

The statement that is not true about a rational function of the form f(x) where g and h are polynomial functions is D. A rational function may have many horizontal asymptotes.

A rational function is defined as the ratio of two polynomial functions, where g and h are polynomials and h is not the zero polynomial. The graph of a rational function can have vertical asymptotes, which occur when the denominator of the function is equal to zero. However, a rational function can intersect a vertical asymptote if the numerator is also equal to zero at that point.

Regarding vertical asymptotes, statement A is true. The graph of a rational function will never intersect a vertical asymptote, as long as the function is defined at that point.

Statement B is also true. A rational function may have multiple vertical asymptotes if the denominator has multiple factors that result in the function being undefined at different points.

Statement C is also true. If the degrees of g and h are m and n, respectively, and m is less than or equal to n, then the rational function will have a horizontal asymptote with an equation of y = (a/b).

However, statement D is not true. A rational function can have at most one horizontal asymptote, and this occurs when the degree of g is equal to the degree of h. The equation of the horizontal asymptote is y = (a/b), where a is the leading coefficient of g and b is the leading coefficient of h.

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Answer:

0.09

Step-by-step explanation:

avg rate of change is:  change in y/ change in x

so it´d be   3.59 - 0.89 / 2014 - 1984

= 2.7/ 30

= 0.09

note:

The slope formula and the average rate of change formula are the same, just written a bit different, so you could also use:

y2 - y1 / x2 - x1

67.2

ST + SR + TR = perimeter of RST

ST = PQ × TR/QO

A correlation of .9 indicates that 81% of the variance between two variables has been explained.

Correlation measures the strength of the relationship between two variables. A perfect positive correlation is 1.0, indicating that the two variables move in the same direction together. A perfect negative correlation is -1.0, indicating that the two variables move in opposite directions. A correlation of 0 indicates no relationship between the two variables.

To determine the proportion of variance explained by a correlation, you need to square the correlation coefficient (in this case, 0.9). This is called the coefficient of determination (R^2). So, you calculate:

R^2 = (0.9)^2 = 0.81

Thus, a correlation of 0.9 explains 81% of the variance between the two variables.

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As per the given Ratio difference between the amount of money spent and the amount of money saved in a week is $2.

A ratio is an ordered pair of numbers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other.

The ratio formula can be used to represent a ratio as a fraction. For any two quantities, say a and b, the ratio formula is a:b = a/b. Because a and b are separate amounts for two portions, the total quantity is given as (a + b).

et 5x be the money he spends and 4x be the amount he saves

therefore, 5x+4x= 18

9x= 18

x= 18/9= 2

Tom spends, 5×2 = $10

and he saves, 4×2= $8

Difference, = $10-$8= $2

Therefore, as per the given ratio in the question difference between the amount of money spent and the amount of money saved in a week is $2.

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Tom receives $18 from his father in a week. The ratio of the amount of

the money he spends to the amount of money he saves in a week is 5:4

What is the difference between the amount of money spent and

amount of money saved in a week?

Answer:

Slope: 3/5

y-intercept: 1

equation is: y=3/5x+1

Step-by-step explanation:

Slope intercept form is: y = mx + b

m = slope

b = y-intercept

Answer:

slope:-5

y-intercept:2

equation: y= -5x+2

Step-by-step explanation:

y-intercept is given

slope is y2-y1 over x2-x1

and then write your equation as y=mx+b

Answer:

obtuse

Step-by-step explanation:

The angle on the protractor is 113 degrees, which makes it an obtuse angle.

Obtuse angle is any angle greater than 90° and the angle shown is 133°

The partial derivative \(f_{xy}\) of the function \(f(x, y) = x^3 - 4x^3y^2 + y^4\) is equal to \(-6x^3y + 4y^3\), which corresponds to option C.

To find the partial derivative \(f_{xy}\) of the function \(f(x, y) = x^3 - 4x^3y^2 + y^4\), we first differentiate \(f\) with respect to \(x\) to obtain \(f_x\). Taking the derivative of each term, we have \(f_x = 3x^2 - 12x^2y\).

Next, we differentiate \(f_x\) with respect to \(y\) to find \(f_{xy}\). Since \(f_x\) does not contain \(y\), differentiating \(f_x\) with respect to \(y\) simply gives us \(f_{xy} = -24x^2y + 4y^3\). Comparing this result to the given options, we see that option C matches the derived expression: \(f_{xy} = -6x^3y + 4y^3\). Therefore, option C is the correct answer.

In summary, we first find the derivative of \(f\) with respect to \(x\) and then differentiate the resulting expression with respect to \(y\) to obtain \(f_{xy}\). The correct option is \(f_{xy} = -6x^3y + 4y^3\).

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Answer:

y = 35x - 517.

Step-by-step explanation:

y=35x−7

This line has a slope of 35so we can write a line parallel to it as

y - y1 = 35(x - x1) where (x1, y1) is a point on the line.

We are given this point (15, 8), so:

y - 8 = 35(x - 15)

y = 35x - 525 + 8

y = 35x - 517  is the required equation.

Answer:

$21.70

Step-by-step explanation:

I hope this helps!