Which represents the solution set of the inequality 5x-9≤21?

Step-by-step explanation:

please mark me as brainlest

Answer:

It would cost $16.66

Step-by-step explanation:

To find the individual cost of one song you would divide $5.95 by 5 since that's what it costs for 5 songs. Each individual song costs $1.19. So then you multiply $1.19 by the 14 songs and get the answer of $16.66

By using Euclidean geometry, the set of side lengths  2.5 cm, 1.8 cm, 4 cm can form a triangle.

The sum of the lengths of any two sides must be greater than the length of the third side.

a + b ≥ c

A triangle is a three-sided polygon with three straight sides. It is a basic geometric shape that is found in many areas of mathematics and geometry.

Using this rule, we can determine which of the given sets of side lengths can form a triangle:

(a) 3 cm, 4 cm, 7 cm: It is not possible to form a triangle with these side lengths, because the sum of the lengths of the first two sides (3 cm + 4 cm = 7 cm) is equal to the length of the third side.

(b) 2 cm, 3 cm, 7 cm: It is not possible to form a triangle with these side lengths, because the sum of the lengths of the first two sides (2 cm + 3 cm = 5 cm) is less than the length of the third side.

(c) 2.5 cm, 1.8 cm, 4 cm: It is possible to form a triangle with these side lengths, because the sum of the lengths of the first two sides (2.5 cm + 1.8 cm = 4.3 cm) is greater than the length of the third side.

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Answer:

Area = 104

Step-by-step explanation:

The equation to find the area of a triangle is A = 1/2 BH

so if we plug in to numbers into the equation we get

A = 1/2 13*16 no we can multi plier 13*16 and we get 208

and last we can multiply 1/2 to 208 and our final answer is 104

High Hopes^^

Barry-

We can simplify the left-hand side of the equation first:

900 - 420 + 49 = 529

Now we can rewrite the equation as:

529 = (a - b)^2

To solve for a - b, we can take the square root of both sides:

√529 = |a - b|

Since the square root of a positive number is always positive, we can remove the absolute value:

a - b = ±23

Therefore, the value of a - b could be either positive 23 or negative 23.

The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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The standard form of the equation of the circle is (x+3)²+(y-4)²=9 .

The slope of the line is

A circle is defined as the locus of a moving point which is always equidistant from a given point.

The given point on the circle is  (-3, 4) and the radius is 3 units.

Hence the standard form of the equation of the circle is :

(x-{-3})²+(y-4)²=3²

or,  (x+3)²+(y-4)²=9

Let the two given two points as A(-8, -12) and B(1, 24).

Now the slope of the line AB can be calculated by the formula:

\(m=\frac{y_2-y_1}{x_2-x_1}.\)

Now let us put the given values in the equation to calculate slope:

\(m_{AB}=\frac{24-(-12)}{1-(-8)}\\\\or, m_{AB}=\frac{36}{9} \\\\or, m_{AB}=4\)

Hence the slope of the line is 4.

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The value of x is -1/2 or 3/2

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.

Given:

x² − x − 3/4 = 0

4x² - 4x -3=0

4x² -6 x + 2x -3 =0

2x( 2x -3 ) +1 ( 2x -3)= 0

(2x +1) (2x-3)=0

x= -1/2, 3/2

x= -0.5, 1.5

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Answer:

7s.

Step-by-step explanation:

2s - s + 6s (Given)

Rembember that - s is the same as - 1s because there is an invisible 1.

So, 2s - 1s =  1s or s.

1s + 6s = 7s.

2s - s + 6s (Given)

7s (Combine like terms)

A number line is a line on which the positions of all numbers can be shown. The required answers are:

1. Coordinate of point B = \(\frac{17}{4}\)

2. Coordinate of point C = 14\(\frac{7}{8}\)

3. Coordinate of point D = 7\(\frac{7}{16}\)

4. Coordinate of point X = 12\(\frac{3}{4}\).

5. Coordinate of point X =  2\(\frac{5}{6}\)

6. Coordinate of point X = 8\(\frac{1}{2}\)

A number line is a type of line that can be used to show the positions of all numbers. It has two ends which start with -∞, and stops at +∞.

A directed number is a number that is either negative or positive. Thus all directed numbers can be located on the number line.

To solve the given question; we have:

MJ = 17 units, so that'

1. Coordinate point B = \(\frac{1}{4}\) * MJ

                              = \(\frac{1}{4}\) * 17

                              = \(\frac{17}{4}\)

2. Coordinate point C = \(\frac{7}{8}\)* MJ

                                        = \(\frac{7}{8}\)* 17

                                        = 14\(\frac{7}{8}\)

3. Coordinate point D = \(\frac{7}{16}\) * MJ

                                         =  \(\frac{7}{16}\) * 17

                                         = 7\(\frac{7}{16}\)

4. To determine the coordinate of point X, we have

                          \(\frac{MX}{XJ}\) = \(\frac{3}{1}\)

So that,

            MX = 3XJ

Thus,

\(\frac{17}{4}\) = 4\(\frac{1}{4}\)

So that,

            MX = 3*4\(\frac{1}{4}\)

                   = 12\(\frac{3}{4}\)

The coordinate of point X is 12\(\frac{3}{4}\).

5. To determine the coordinate of point X, we have;

                     \(\frac{MX}{XJ}\) = \(\frac{2}{3}\)

So that,

            3MX = 2XJ

Thus,

\(\frac{17}{5}\) = 3\(\frac{2}{5}\)

Then, the coordinate of X is 2\(\frac{5}{6}\).

6. To determine the coordinate of point X, we have;

                                 \(\frac{MX}{XJ}\) = \(\frac{1}{1}\)

Such that,

         MX = XJ

Thus,

\(\frac{17}{2}\) = 8\(\frac{1}{2}\)

Then, the coordinate of X is 8\(\frac{1}{2}\).

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Answer:

(x+1)(x-4)

x=-1, x=4

Step-by-step explanation:

the factors of -4x^2

x and -4x

the sum of x-4x= -3x

when you write its thi t would be an acute triangle. Basically, the one you think of when you think triangle.

but when its multi step its c

Step-by-step explanation:

Sum exterior measure = ( n-2)*180

( n-2 ) *180

(3-2)*180

180

x+4x-2+5x = 180

10x-2 = 180

10x = 180+2

10x = 182

x = 18.2

A = x

A = 18.2°

B=5x

B = 5(18.2)

B = 91°

C = 4x-2

C = 4(18.2)-2

C = 72.8-2

C = 70.8°

OThe presence of identical fossil plants in both Antarctica and Australia, within the same rock formations, supports the hypothesis of a supercontinent and the process of plate tectonics by providing evidence of past land connections and the subsequent separation of continents due to tectonic activity.

The presence of identical fossil plant species in rock formations of both Antarctica and Australia suggests that these two regions were once connected geographically. The similarity in the fossil record indicates that the plants existed in a shared ecosystem or environment at some point in the past.

The geological formations in which the fossil plants are found can provide further evidence. If the rock layers containing the fossils can be matched across Antarctica and Australia, it suggests that these regions were once part of the same landmass. This correlation supports the idea of a supercontinent.

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Answer:

\(f(x)=4(3)^x\)

Step-by-step explanation:

The general equation for an exponential function is:

\(\boxed{f(x) = ab^x}\)

where:

To find the values of a and b that satisfy the given conditions, we can use the two points (1, 12) and (3, 108) to form a system of equations:

\(\begin{cases}12 = ab^1\\108 = ab^3\end{cases}\)

Divide the second equation by the first equation to eliminate a:

\(\dfrac{ab^3}{ab} = \dfrac{108}{12}\)

\(b^2=9\)

\(\sqrt{b^2}=\sqrt{9}\)

\(b=3\)

Substitute the found value of b into the first equation and solve for a:

\(12&=3a\)

\(\dfrac{12}{3}=\dfrac{3a}{3}\)

\(4=a\)

\(a=4\)

Therefore, the equation of the exponential function that passes through the points (1, 12) and (3, 108) is:

\(\boxed{f(x) = 4(3)^x}\)

Answer:

Step-by-step explanation:

To find the equation of an exponential function passing through the given points (1,12) and (3,108),

we can use the standard exponential form y=a(b^x). We know that when x=1, y=12,

so we can substitute these values into the equation to find a.

So  12 = a(b^1). Similarly, when x=3, y=108, so 108 = a(b^3). We can divide the second equation by the first to eliminate a and get (108/12) = b^2, or 9 = b^2. Thus, b=3 (taking only the positive root). We can now substitute this value of b into either equation to find a. Using the first equation, we get 12 = a(3^1), so a=4. Therefore, the exponential function passing through the given points is y=4(3^x).

The saving $100 at the end of each quarter for 15 years in an ordinary annuity that earns 5.4% interest, compounded quarterly, the Smith family would have $29,161.66 to travel the world.

An ordinary annuity is a stream of regular payments that are paid at the end of each period, such as quarterly, annually, or monthly. The Smith family intends to invest in an ordinary annuity to save money for a trip around the world.To compute the future value of a regular annuity,

the following formula is used:FV= PMT [ (1+r/n)^n*t - 1 ] / (r/n)where FV = future value, PMT = payment amount, r = interest rate per compounding period, n = number of compounding periods per year, and t = number of years of the investment.The Smith family's ordinary annuity has a 5.4% interest rate, compounded quarterly. As a result, the quarterly interest rate is: 5.4% / 4 = 1.35%.

The interest rate per compounding period is then converted to decimal form: 1.35% / 100 = 0.0135.The number of compounding periods per year is calculated by dividing the annual interest rate by the quarterly interest rate: 5.4% / 1.35% = 4.The number of payments the Smith family would make over a period of 15 years is: 15 years * 4 payments/year = 60 payments.

Finally, the future value of the annuity is calculated using the formula:FV= PMT [ (1+r/n)^n*t - 1 ] / (r/n) = PMT [(1+0.0135)^60 - 1]/ (0.0135)If the Smith family wants to save $100 at the end of each quarter, the calculation is as follows:FV = $100 [ (1+0.0135)^60 - 1 ] / (0.0135) = $29,161.66

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Answer:

Mrs. Powers spent $3.96 on each student

Step-by-step explanation:

Divide the total amount of money she spent by 21 (students)

a) If two similar solids have a scale factor of 2 : 5, the ratio of their volumes is 8:125, expressed in the lowest terms.

b) If cone with volume 2625 m³ is dilated by a scale factor of 15, the volume of the resulting cone is 10,640,625 m³.

(a) When two solids are similar, their corresponding linear dimensions are in the same ratio, which is known as the scale factor. For example, if two similar solids have a scale factor of 2:5, it means that the corresponding sides of the two solids are in the ratio 2:5.

The volume of a solid is proportional to the cube of its linear dimensions. Therefore, if the linear dimensions of two similar solids are in the ratio 2:5, the ratio of their volumes would be:

(2/5)³ = 8/125

(b) The volume of a cone is given by the formula:

V = (1/3)πr²h

where V is the volume, r is the radius, and h is the height of the cone.

When a cone is dilated by a scale factor of k, its linear dimensions increase by a factor of k, and its volume increases by a factor of k³. Therefore, if the volume of a cone is V and it is dilated by a scale factor of k, the volume of the resulting cone would be:

V' = k³V

In this case, the volume of the original cone is given as 2625 m³, and it is dilated by a scale factor of 15. Substituting these values in the formula, we get:

V' = 15³(2625)

V' = 15³(2625/1)

V' = 10640625

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Answer:

To find the probability that the mom is at the front of the line:

the answer is 1/5. i think

Step-by-step explanation:

have a nice day

3900000×18% = 702000

702000÷2500 = 280.8 per share dividend

450×280.8 = 126360

162

Step-by-step explanation:

(12 square - 15 + 17) + 16

=(144 - 15 + 17) + 16

=146 + 16

=162

The area of the shaded region of a circle with a 100 degree angle and a radius of 3cm, using pi=3.14, is approximately 25.64 square centimeters.

To find the area of the shaded region of a circle, we need to subtract the area of the sector formed by the shaded region from the area of the whole circle.

The area of the whole circle is given by

A = πr²

where A is the area of the circle, r is the radius of the circle, and π is a mathematical constant approximately equal to 3.14 (as given in the question).

Substituting the given values, we get

A = π(3cm)²

A = 28.26 cm² (rounded to two decimal places)

Now, let's find the area of the sector formed by the shaded region.

The angle of the sector is given as 100 degrees. To find the area of the sector, we need to use the formula:

A = (θ/360)πr²

where θ is the angle in degrees, r is the radius of the circle, and π is again approximately equal to 3.14.

Substituting the given values, we get

A = (100/360)π(3cm)²

A = 2.62 cm² (rounded to two decimal places)

Finally, we can find the area of the shaded region by subtracting the area of the sector from the area of the whole circle

Shaded area = Area of circle - Area of sector

Shaded area = 28.26 cm² - 2.62 cm²

Shaded area = 25.64 cm² (rounded to two decimal places)

Therefore, the area of the shaded region of the circle is approximately 25.64 square centimeters.

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--The given question is incomplete, the complete question is given

" Find the area of a shaded region of circle and use 3.14 for pi "--

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

The graph of the parent function y = 2^x can be transformed to create the graph of y = 2^(3x) by horizontally compressing by a factor of 3. Therefore, the correct answer is C.

a) The elimination matrices used were E1, E2, and E3.

b) Three times the first row from the third row, using the elimination.

(a) To put matrix A into upper triangular form, we can use elimination matrices to eliminate the entries below the diagonal.

First, we can add the first row to the second and third rows, using the elimination matrix

E1 = |1 0 0|

       |1 1 0|

       |1 0 1|

E1A = | -1 -1 -1 1

          0 -2 0 0

          0 0 -2 0

          1 -1 -1 0

          1 -1 -1 -1

          1 -1 -1 -1

          1 -1 -1 -1

          1 -1 -1 -1|

Next, we can add the second row to the third row, using the elimination matrix

E2 = |1 0 0|

       |0 1 0|

       |0 1 1|

E2(E1A) = | -1 -1 -1 1

               0 -2 0 0

               0 0 -2 0

                1 -1 -1 0

             0 -2 -2 -1

               1 -1 -1 -1

               1 -1 -1 -1

               1 -1 -1 -1|

Finally, we can add the fourth row to the fifth, sixth, seventh, and eighth rows, using the elimination matrix

E3 = |1 0 0 0 0 0 0 0|

       |0 1 0 0 0 0 0 0|

       |0 0 1 0 0 0 0 0|

       |0 1 0 1 0 0 0 0|

       |0 0 0 0 1 0 0 0|

       |0 0 0 0 0 1 0 0|

       |0 0 0 0 0 0 1 0|

       |0 0 0 0 0 0 0 1|

E3(E2E1A) = | -1 -1 -1 1

                    0 -2 0 0

                    0 0 -2 0

                     1 0 -2 1

                  0 -2 -2 -1

                 0 -2 -2 -2

                 0 -2 -2 -2

                 0 -2 -2 -2|

Therefore, the upper triangular form of A is:

| -1 -1 -1 1

0 -2 0 0

0 0 -2 0

0 0 0 -2

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0|

The elimination matrices used were E1, E2, and E3.

(b) To put matrix B into upper triangular form, we can use elimination matrices to eliminate the entries below the diagonal.

First, we can subtract twice the first row from the second row, using the elimination matrix

E1 = |1 0 0|

      |-2 1 0|

      |0 0 1|

E1B = | 1 0 1

         0 2 0

         3 4 5|

Next, we can subtract three times the first row from the third row, using the elimination

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9514 1404 393

Answer:

  te, tm, (m-e), t

Step-by-step explanation:

The problem statement tells you how to interpret the expressions and their parts.

Swap the top two expressions on the right and the list will be in the appropriate order:

Answer:

60+3

Step-by-step explanation:

The value of m ∠ABD will be;

⇒ ∠ ABD = 50°

Parallel lines are those lines that are equidistance from each other and never intersect each other.

Given that;

In the diagram, the parallel lines are cut by transversal BC.

And,  BD bisects ∠ABC and m∠3 = 80.

Now,

Since, The parallel lines are cut by transversal BC.

Hence, We get;

⇒ ∠ 3 + ∠ 2 = 180°

⇒ 80° + ∠ 2 = 180°

⇒ ∠ 2 = 180 - 80

⇒ ∠ 2 = 100

And, We have;

⇒ ∠ 2 = ∠ ABC

⇒ ∠ ABC = 100°

Since, BD bisects ∠ABC.

Hence, We get;

⇒ ∠ ABD = 100 / 2

⇒ ∠ ABD = 50°

Thus, The value of m ∠ABD = 50°

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Answer:

Step-by-step explanation:

False. They have one point in common meaning there is only 1 solution.

Answer:

30

Step-by-step explanation:

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