Brainliest is given to the right answer.

Roberto has been playing bass 3 times as many years as his brother Felix has.
Write an algebraic expression for the number of years Roberto has been playing bass. Be sure to indicate what the variable in your expression represents.

Answer:

2.98

Step-by-step explanation:

First find 3% of 16.05 which is 0.48.

Then add 0.48 to 16.05 which is 16.53.

Then multiply .18 by 16.53 which gets you 2.98

Hope it helps

Answer:

To find the amount of the sales tax, we need to multiply the bill amount by the tax rate of 3% or 0.03:

Sales tax = 0.03 x $16.05 = $0.48

To find the total amount of the bill after the sales tax was added, we need to add the bill amount to the sales tax:

Total bill = $16.05 + $0.48 = $16.53

To find the amount of the tip, we need to calculate 18% of the total bill after the sales tax was added:

Tip = 0.18 x $16.53 = $2.98

Rounding to the nearest cent, Penelope left a tip of $2.98.

Step-by-step explanation:

Answer:

The answer for height is 20

Step-by-step explanation:

the quadrilateral are not similar (option C)

For two shapres to be similar the ratio of their corresponding sides will be equal. The angles must corresponds too.

We check if ABCD is similar to EFGH

The adjacent angles of a parallelogram sum up to 180 degree

∠A = ∠E = 80 degree

∠B = ∠F = 100 degree

∠D = ∠H = 100 degree

∠C = ∠G = 80 degree

The ratio of corresponding sides:

Hence, the quadrilateral are not similar (option C)

By using the property of linear pair we can prove that m∠2=m∠3 .

Let us use the template that is provided to find the solution.

1. ∠1 and ∠2 are supplementary           (Linear pair)

 ∠3 and ∠4 are supplementary.

2.m∠1 + m∠2 = 180°                        (definition of supplementary angles.)

3.m∠3 + m∠4 = 180°                        (definition of supplementary angles.)

4.m∠1 + m∠2 = m∠3 + m∠4            (Substitution property)

or, m∠1 + m∠2 = m∠1 + m∠3

5. m∠1 =m∠4                                    (given)

6. m∠2 = m∠3                                  ( Subtraction property)

Therefore we can see that the two angles are equal due to the properties of linear pair and substitution property.

A linear pair of angles is formed when two  straight lines intersect at only 1 single point. The angles are known to be a linear pair  if they exactly follow the point where the two straight lines intersect only in a straight line. The sum of the angles in a pair of linear equations is always equal to 180°.

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Answer:

50 liters of 20% solution and 150 liters of 60% solution should be used.

Step-by-step explanation:

Given that a solution containing 20% salt is to be mixed with a solution of 60% salt to make 200L of a solution that is 50% salt, to determine how much of each solution is to be used the following calculation must be performed:

1 x 0.2 + 0 x 0.6 = 0.2

0.5 x 0.2 + 0.5 x 0.6 = 0.4

0.3 x 0.2 + 0.7 x 0.6 = 0.48

0.2 x 0.2 + 0.8 x 0.6 = 0.52

0.25 x 0.2 + 0.75 x 0.6 = 0.5

200 x 0.25 = 50

200 x 0.75 = 150

Thus, 50 liters of 20% solution and 150 liters of 60% solution should be used.

Answer:

D because the people at the jazz festival must be biased toward jazz because they are at a jazz festival and must like jazz.

Brainliest please?

Answer:

True

Step-by-step explanation:

I just did a whole essay about thin in Geometry and I got an A.

Hope this helps! （づ￣3￣）づ╭❤～

Answer:

the average times per week that college students across the nation eat out lies within these 95% confidence interval

      \( 3.938  <  \mu < 4.062 \)

Step-by-step explanation:

From the question we are told that

    The sample size is n =  1501

    The sample mean  is  \(\= x = 4\)

      The standard deviation is  \(\sigma = 1.5\)

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 95 ) \%\)

=>   \(\alpha = 0.05\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.96\)

Generally the margin of error is mathematically represented as  

      \(E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }\)

=>   \(E = 1.96  *  \frac{1.5 }{\sqrt{1501} }\)

=>   \(E = 0.06196 \)

Generally the estimate for average times per week that college students across the nation eat out at a 95% confidence is  mathematically represented as

      \(\= x -E <  \mu <  \=x  +E\)

      \(4  -0.06196  <  \mu < 4  + 0.06196\)

=>   \( 3.938  <  \mu < 4.062 \)

Hence the true average times per week that college students across the nation eat out lies within this interval

The function is never negative.

option D is the correct answer.

A negative function is a function in which the resulting y value is negative.

Also, a negative function is a function that has y values that are less than zero for any x values. In other words, a negative function has a negative sign in front of its output.

From the given graph, the x and y values started from 0 and increases into the positive direction, so we can conclude that the function can never be negative.

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Answer:

Step-by-step explanation:

BAD = 42

x + 103 + 42 = 180

x = 180 - 145

x = 35

Answer:

20 percent is added

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Sub (0, -1) into 4 choices, Only A, C, D work.

Sub (-2, 9) into A, C, not work.

Sub (4, 51) into D for checking, it works

Answer:

44%

Step-by-step explanation:

I agree. The answer is choice A.

There is a downward trend going on. As x gets larger, y seems to be getting smaller. Though we have a weak correlation because the points aren't all close to the same straight line. They seem to be randomly scattered.

Note: if we ignore the outlier, then the correlation gets a bit stronger, but not much so.

f'(x) = 0 * x^(-2) + (-2/x^3) = -2/x^3.

So, the derivative of f(x) = 2/x^2 is f'(x) = -2/x^3.

To find f'(x) for the function f(x) = x + 2, we can use the power rule for derivatives.

The power rule states that if we have a function of the form f(x) = x^n, then the derivative is given by f'(x) = n*x^(n-1).

In this case, the function f(x) = x + 2 can be written as f(x) = x^1 + 2.

Applying the power rule, we differentiate each term separately:

f'(x) = d/dx (x^1) + d/dx (2)

The derivative of x^1 is 1x^(1-1) = 1x^0 = 1.

The derivative of a constant term like 2 is 0, as the derivative of a constant is always 0.

Therefore, f'(x) = 1 + 0 = 1.

So, the derivative of f(x) = x + 2 is f'(x) = 1.

To find f'(x) for the function f(x) = 2/x^2, we can use the power rule and the constant multiple rule.

The power rule states that if we have a function of the form f(x) = x^n, then the derivative is given by f'(x) = n*x^(n-1).

The constant multiple rule states that if we have a function of the form f(x) = cg(x), where c is a constant, then the derivative is given by f'(x) = cg'(x), where g'(x) is the derivative of g(x).

In this case, the function f(x) = 2/x^2 can be written as f(x) = 2 * x^(-2).

Applying the power rule and the constant multiple rule, we differentiate each term separately:

f'(x) = d/dx (2 * x^(-2))

Applying the constant multiple rule, the derivative of 2 is 0, as it is a constant term.

Applying the power rule, the derivative of x^(-2) is (-2) * x^(-2-1) = (-2) * x^(-3) = -2/x^3.

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The polynomial -6x⁵ - 1/8 - x³ in standard form is -6x⁵ - x³ - 1/8

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

-6x⁵ - 1/8 - x³

To rewrite polynomial in standard form, we order the powers in decreasing order

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

-6x⁵ - x³ - 1/8

Hence, the polynomial in standard form is -6x⁵ - x³ - 1/8

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Step 1 : Given the function below

Step 2: Write the function for h(3), this is done by substituting 3 for x in the function h(x) above

Step 3: Write the corresponding value for the function g(9) and an inverse function of R⁻¹ (3) on the table.

Step 4: Substitute the g(9) and R⁻¹ (3) values in the h(3) equation and simplify

Hence, the value of h(3) is -11

The second option is the correct answer.

The derivative of the function cos(xº) in radians is y' = -sin(xπ/180)

From the question, we have the following function definition that can be used in our computation:

cos(xº)

Changing the degree into radian, we have

cos(xπ/180)

Express as a function

So, we have

y = cos(xπ/180)

When the cosine function is differentiated, we have

y' = -sin(xπ/180)

Hence, the differentiated function is y' = -sin(xπ/180)

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The inverse of matrix A, if it exists, is:

A^(-1) = [7/43, 2/43; 10/43, 9/43]

To find the inverse of a matrix A, we need to determine if the matrix is invertible by calculating its determinant. If the determinant is non-zero, then the matrix has an inverse.

Given the matrix A = [9, -2; -10, 7], we can calculate its determinant as follows:

det(A) = (9 * 7) - (-2 * -10)

= 63 - 20

= 43

Since the determinant is non-zero (43 ≠ 0), we can proceed to find the inverse of matrix A.

The formula to calculate the inverse of a 2x2 matrix is:

A^(-1) = (1/det(A)) * [d, -b; -c, a]

Plugging in the values from matrix A and the determinant, we have:

A^(-1) = (1/43) * [7, 2; 10, 9]

Simplifying further, we get:

A^(-1) = [7/43, 2/43; 10/43, 9/43].

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The value οf the expressiοn is \(-cot^2x\).

Trigοnοmetry deals in a right angled triangle by giving the ratiο οf variοus sides οf the right angled triangle.

An equatiοn is a fοrmula in mathematics that expresses the equality οf twο expressiοns by cοnnecting them with the equals sign (=). The wοrd equatiοn and its cοgnates in οther languages may have subtly different meanings; fοr example, in French, an équatiοn is defined as cοntaining οne οr mοre variables, whereas in English, an equatiοn is any well-fοrmed fοrmula cοnsisting οf twο expressiοns linked by an equals sign.

\(\frac{sin^2(\frac{\pi }{2}-x) }{cos^2-1} \\= \frac{cos^2x}{cos^2-1} \\=\frac{cos^2x}{cos^2x-sin^2x-cos^2x} \\=\frac{cos^2x}{-sin^2x} =-cot^2x\)

Hence, the value of the expression is \(-cot^2x\).

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Answer:

0.5256

Step-by-step explanation:

X ~ B(10,0.75)

q = 1 - 0.75 = 0.25

The net cost of the amount needed in filling the prescription is 7.86 per gallon

Net cost = 12 - (34.5% of 12)

= 12 - (0.345 × 12)

= 12 - 4.14

= 7.86 per gallon

Therefore the net cost of the amount needed in filling the prescription is 7.86 per gallon

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Answer:

this question is knd a hard

x = y

4x + 9y = -39

4x + 9x = -39

13x = -39 /÷13

x = -3

∴ x = -3, y = -3

The midpoints are not the same, indicating that the diagonals PR and QS do not bisect each other.Based on these calculations, we can conclude that the quadrilateral formed by the given points P, Q, R, and S is not a parallelogram.

To determine if the quadrilateral formed by the points P(-4, 2), Q(6, 4), R(11, -2), and S(2, -3) is a parallelogram, we need to examine its properties.

A quadrilateral is a parallelogram if opposite sides are parallel. In addition, we can also check if the diagonals bisect each other.First, let's calculate the slopes of the sides PQ, QR, RS, and SP:

Slope of PQ = (4 - 2) / (6 - (-4)) = 2/10 = 1/5

Slope of QR = (-2 - 4) / (11 - 6) = -6/5

Slope of RS = (-3 - (-2)) / (2 - 11) = -1/9

Slope of SP = (2 - (-3)) / (-4 - 2) = 5/6

We observe that the slopes of opposite sides are not equal. Therefore, the sides PQ and RS are not parallel, and the sides QR and SP are not parallel.Additionally, we can calculate the midpoint of the diagonals PR and QS:

Midpoint of PR = ((-4 + 11) / 2, (2 - 2) / 2) = (3.5, 0)

Midpoint of QS = ((6 + 2) / 2, (4 - 3) / 2) = (4, 0.5).

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The function f(x) = 3x/(x-9) has a vertical asymptote at x=9, a horizontal asymptote at y=3 as x->±∞, and a horizontal asymptote at y=-3 as x->±∞.

To identify the asymptotes and state the end behavior of the function f(x) = 3x/(x-9), we need to analyze the behavior of the function as x approaches positive and negative infinity.

First, let's look at the denominator of the fraction, which is x-9. This means that the function has a vertical asymptote at x=9, as the denominator approaches zero at that point. This vertical asymptote divides the x-axis into two regions, x<9 and x>9.

Now let's consider the behavior of the function as x approaches positive infinity. In this case, the numerator grows faster than the denominator, and the function approaches a horizontal asymptote at y=3. To see this, we can use the limit definition:

lim (x->∞) f(x) = lim (x->∞) 3x/(x-9) = lim (x->∞) 3(1/(1-9/x)) = 3

Similarly, as x approaches negative infinity, the function also approaches a horizontal asymptote at y=-3. Again, we can use the limit definition to confirm this:

lim (x->-∞) f(x) = lim (x->-∞) 3x/(x-9) = lim (x->-∞) 3(1/(1-9/x)) = -3

Therefore, the function f(x) = 3x/(x-9) has a vertical asymptote at x=9, a horizontal asymptote at y=3 as x->±∞, and a horizontal asymptote at y=-3 as x->±∞.

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Answer:

0

Step-by-step explanation:

It is 0 where t is the time in seconds after the ball leaves my hand

Answer:

Let's Convert yards into inches

Base = 40 yards = 1440 inches

Height = 25 yards = 900 inches

Base (Map)/Base (Actual)

40/1440 = 1 : 36

Height (Map)/Height (Actual)

25/900 = 1 : 36

I hope it helps you!

Step-by-step explanation:

Let's expand our knowledge even more by explaining.

The scale of the height and the width is 1 inch equals 1 yard.

the scale of the area would be 1 square inch equals 1 square yard.

for example:

the area of a triangle is equal to 1/2 * base * height.

the base on the map is 40 inches and the height on the map is 25 inches.

the area on the map is therefore 1/2 * 40 * 25 = 500 square inches.

the base in the real world is 40 yards and the height in the real world is 25 yards.

the area in the real world is therefore equal to 1/2 * 40 * 25 = 500 square yards.

the ratio of the area on the map to the area in the real world is 500 square inches / 500 square yards equals 1 square inch / 1 square yard.

that's 1 square inch to 1 square yard.

in general, if the scale in the linear measurements were a/b, then the scale in area would be (a/b)^2.

since your scale in linear measurements is 1/1, then the scale in area would be (1/1)^2 which is equal to 1/1.

assuming the scale in linear measurements were 1/2, then the scale in area would be (1/2)^2 = 1^2/2^2 = 1/4.

The answer is A. y = 2x + 1.

Explanation: Once we substitute the x values to the equation, we will always get the corresponding y value as a result.

Answer:

\( \frac{3( {5}^{8} - 1) }{5 - 1} = 292968\)