Seven numbers out of a set of nine numbers are 16, 17, 19, 19, 21, 21, and 25. If the mode of the eight numbers is 19 and the mean is 20, what are the other two numbers?

Show your work

Step-by-step explanation:

2.5 km = 250000 cm

250000 cm /20000 = 12.5 cm on the map

12.5 cm ^2  x 20 0000 x 20 000   = 5 000 000 000 cm^2 = 500 000 m^2  

Answer:

x=29

Step-by-step explanation:

0.3(x-5)=7.2

multiply by 10

3(x-5)=72

divide by 3

\(x-5=\frac{72}{3} \\x-5=24\\x=24+5\\x=29\)

By graphing or visualizing the parabolic shape, we can observe where the graph intersects the x-axis, which represents the solutions to the equation. In this case, the solutions are x = -3 and x = 1.

To solve the quadratic equation x^2 + 2x - 3 = 0 by graphing, we can plot the graph of the equation and find the x-values where the graph intersects the x-axis.

First, let's rearrange the equation to the standard form: x^2 + 2x - 3 = 0.

We can create a graph by plotting points for different values of x and then connecting them. However, I can describe the process and the key points on the graph.

1. Find the x-intercepts: These are the points where the graph intersects the x-axis. To find them, set y (the equation) equal to zero and solve for x:

  0 = x^2 + 2x - 3.

  This quadratic equation can be factored as (x + 3)(x - 1) = 0.

  Therefore, x = -3 or x = 1.

2. Plot the points: Plot the points (-3, 0) and (1, 0) on the graph. These are the x-intercepts.

3. Draw the graph: The graph of the equation x^2 + 2x - 3 = 0 is a parabola that opens upward. It will pass through the x-intercepts (-3, 0) and (1, 0).

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\(44+\cfrac{7}{8}r\implies 44+\cfrac{7}{8}\left( -\cfrac{1}{2} \right)\implies 44-\cfrac{7}{16}\implies \cfrac{(16)44~~ - ~~(1)7}{\underset{\textit{we'll use this LCD}}{16}} \\\\\\ \cfrac{704~~ - ~~7}{16}\implies \cfrac{697}{16}\implies 43\frac{9}{16}\)

Answer: C

Step-by-step explanation:

For this problem, you want to find (FoG)(x). Then, you want to find the inverse of that.

(FoG)=5(x-4)-6               [distribute]

(FoG)=5x-20-6               [combine like terms]

(FoG)=5x-26

Now, we want to find the inverse. To find the inverse, you switch the x with y and y with x, then solve for y.

y=5x-26                          [switch x with y and y with x]

x=5y-26                          [add both sides by 26]

x+26=5y                         [divide both sides by 5]

y=(x+26)/5

Now, we know that y=(x+26)/5 is the answer.

Substitute [ x - 4 ] for x in the function of "R"

R(x) = 5(x - 4) - 6

R(x) = 5x - 20 - 6

R(x) = 5x - 26

Switch variables to find the inverse and solve for y

y = 5x - 26

x = 5y - 26

x + 26 = 5y

(x+26)/5 = y

Therefore, the answer is D.

Best of Luck!

Answer:

x > 2

Step-by-step explanation:

x - 5 < 3x - 9

x - 5 + 5 < 3x - 9 + 5

x < 3x - 4

x - 3x < 3x - 4 - 3x

-2x < -4

(-2x)(-1) > (-4)(-1)

2x > 4

2x/2 > 4/2

x > 2

Answer:

x > 2.

The solution in interval notation is (2, ∞).

Step-by-step explanation:

2x - (x + 5) < 3x - 9

2x - x - 5 < 3x - 9

2x - x - 3x < -9 + 5

-2x < -4

Divide both sides by -2

x > 2    (Note that the sign flips because we are dividing by a negative)

Answer:

you add it up ..

Step-by-step explanation:

yw

Given the information on the table, we can write the following proportions:

where 'x' represents the number of cups of flour needed for 20 teaspoons of honey. Solving for 'x', we get:

therefore, we need 25 cups of flour to use with 20 teaspoons of honey

Answer: Choosing a smaller unit of measure is more meaningful because it allows for more precise measurements. When using a smaller unit of measure, such as millimeters instead of centimeters, or seconds instead of minutes, you are able to capture more detailed information about the measurement. For example, measuring something in centimeters may give you a rough idea of the size, but measuring it in millimeters will give you more detailed information, which can be especially important in scientific or technical fields. Additionally, choosing a smaller unit of measure can be more meaningful when making comparisons or performing calculations, as it allows for greater accuracy.

Step-by-step explanation:

Hopes this helps you for Tomorrow!!

ANSWER:

AC = 3√ 17

α = 75.96°

Θ = 14.04°

STEP-BY-STEP EXPLANATION:

We can calculate the length of side AC by means of the Pythagorean theorem, just like this:

We can calculate the angles by applying the following trigonometric ratios:

Answer:

When \(x=0\), the value of f(x) is 1.

Each time x increases by 1, f(x) is multiplied by 4.

Equation of function: \(f(x)=1\cdot 4^x\)

Step-by-step explanation:

The detailed explanation is attached below.

The value of a in the relative frequency table for the survey results a = 27%

From the given Venn diagram, the total number of players =  11 + 3 + 7 + 5 = 26

The number of players preferred magazines books which are not coupon books = 7

The relative frequency for the players who preferred magazines books which are not coupon books (a)=

magazine books but not coupon books/ total player = 7 / 26 = 0.269

In percent,

7/26 x 100 = 26.9 = 27%

Hence, a = 27%

Therefore, the value of a in the relative frequency table for the survey results a = 27%

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Answer:

  f(x +h) = 4x² +4h² +8xh +5x +5h +3

  (f(x+h) -f(x))/h = 4h +8x +5

  f'(x) = 8x +5

Step-by-step explanation:

For f(x) = 4x² +5x +3, you want the simplified expression f(x+h), the difference quotient (f(x+h) -f(x))/h, and the value of that at h=0.

Put (x+h) where h is in the function, and simplify:

  f(x+h) = 4(x+h)² +5(x+h) +3

  = 4(x² +2xh +h²) +5x +5h +3

  f(x +h) = 4x² +4h² +8xh +5x +5h +3

The difference quotient is ...

  (f(x+h) -f(x))/h = ((4x² +4h² +8xh +5x +5h +3) - (4x² +5x +3))/h

  = (4h² +8xh +5h)/h

  (f(x+h) -f(x))/h = 4h +8x +5

When h=0, the value of this is ...

  f'(x) = 4·0 +8x +5

  f'(x) = 8x +5

__

Additional comment

Technically, the difference quotient is undefined at h=0, because h is in the denominator, and we cannot divide by 0. The limit as h→0 will be the value of the simplified rational expression that has h canceled from every term of the difference. This will always be the case for difference quotients for polynomial functions.

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Answer:

4.8 pounds.. Happy to help! brainliest please

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\frac{f(b)-f(a)}{b-a}\) This is the formula for the average rate of change

over the interval (a, b)

a and b are x values

f(a) ad f(b) think of them as y values

Start calculating f(a) and f(b) a=1 b=6

replace all x's in formula with a, (1)

f(1)=1³-9(1) = 1-9= -8    f(1) = -8

Now do : b (6)

f(6) = 6³ - 9 (6) = 216-54=162 f(6) = 162

now plug everything into your equation

\(\frac{f(6)-f(1)}{6-1} =\frac{162- (-8)}{5} =\frac{170}{5} =34\) average rate of change.

notice the 162 - (-8) In math there is no subtraction, and you would change it to + and when you do that you much change the sign of the next value making -8 a +8.

Hope this helps. Good luck!

The equation of the line that passes through the point (4, 2) with a slope of -2 is y = -2x + 10.

A straight line's general equation is y = mx plus c, where m denotes the line's slope and c its y-intercept. It is the geometry-related straight line solution that is used the most frequently. A straight line's equation can be expressed in various ways, including point-slope form, slope-intercept form, intercept form, standard form, etc. A straight line is a two-dimensional geometric object that can reach infinity on both sides.

The equation of a line can be represented in the slope-intercept form, which is given by:

y = mx + b

where:

m = slope of the line

b = y-intercept of the line

Given:

Point (x1, y1) = (4, 2)

Slope (m) = -2

Plugging in the given values into the slope-intercept form, we have:

y = -2x + b

Now, we can use the given point (4, 2) to solve for the y-intercept (b). We substitute the coordinates of the point (x1, y1) into the equation and solve for b:

2 = -2(4) + b

2 = -8 + b

b = 2 + 8

b = 10

So, the value of b is 10.

Putting the values of m and b back into the slope-intercept form, we get the equation of the line:

y = -2x + 10

So, the equation of the line that passes through the point (4, 2) with a slope of -2 is y = -2x + 10.

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Answer:

The following question has been answered in the attached document. If there are any queries kindly let me know they will be resolved shortly.

PRO TIP:

don't forget to mention y=0 on x axis and x=0 on y axis whenever you are drawing a graph as it accounts for 1/2 mark in board exams.

The line cuts the y axis at (0, -4) Also (0,0) satisfies the inequality So the shaded region is towards (0, 0). Since there is a strict inequality, the line is a broken line

What is linear inequation?

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by >, <, \(\geq\), \(\leq\)

A one degree inequation is known as linear inequation.

The given linear inequality is

2x - 3y < 12

For the point on x axis for the line 2x - 3y = 12

we put y = 0

\(2x - 3\times 0 = 12\\2x = 12\\x = \frac{12}{2}\\x = 6\)

The line cuts the x axis at (6, 0)

For the point on y axis for the line 2x - 3y = 12

we put x = 0

\(2\times 0 - 3y = 12\\-3y = 12\\y = \frac{12}{-3}\\y = -4\)

The line cuts the y axis at (0, -4)

Also (0,0) satisfies the inequality

So the shaded region is towards (0, 0)

Since there is a strict inequality, the line is a broken line

The graph has been shown in the figure attached

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The tuxedo was rented for 4 days.

Let's start by assigning variables to the unknowns. Let "x" be the number of additional days rented, and "d" be the total number of days rented (including the first day).

From the given information, we know that the flat fee for the rental is $150, so the cost of the additional days is the total cost minus the flat fee, which is $300 - $150 = $150. We also know that the cost for each additional day is $50. Therefore, we can set up the equation:

$150 + $50x = $300

Subtracting $150 from both sides, we get:

$50x = $150

Dividing both sides by $50, we get:

x = 3

So the tuxedo was rented for 3 additional days, making the total number of days rented:

d = 1 + 3 = 4

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Answer:

-6

Step-by-step explanation:

The answer to this question is -6

Answer:

+_ 6

Step-by-step explanation:

+6×-6=-36

Does that make any sense.

I hope this is what the question is asking

The range of data set 1 is 4

The range of data set 2 is 4.

A line plot is a graph that is made up of a number line and check marks above the number line. The check mark above the number represents the frequency of the number in the data set. For example, if the number 3 on the number line has 2 checkmarks above it, it means 3 has a frequency of 2.

The range is the difference between the highest number in a dataset and the smallest number in the dataset. Range is a measure of variation.

Range = highest number - lowest number

The range of data set 1 = 7 - 3 =  4

The range of data set 2 : 7 - 3 =  4

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Answer:

Step-by-step explanation:

yea

Answer:

it is correct

Step-by-step explanation:

I'm sure of it

Answer:

23.59 - 14.89 = x

x = 8.7

Step-by-step explanation:

To find x, you need to add all of the other sides and subtract it from the perimeter. 5.62 + 5.62 + 3.65 = 14.89.

23.59 - 14.89 = x, so x = 8.7

Answer:

8.7

Step-by-step explanation:

Add all the numbers together (5.62, 5.62, and 3.65) then take away from the result (23.59) to get answer.

1.54 billion can be written in Scientific notation as 1.54 x 10^9.

Scientific notation is a way of writing very large or very small numbers in a more compact and convenient form. It involves writing a number as a product of a coefficient and a power of 10.

To write 1.54 billion in scientific notation, we first need to convert it to a number between 1 and 10 by moving the decimal point to the left until there is only one digit to the left of the decimal point. We can do this by dividing 1.54 billion by 1 billion:

1.54 billion / 1 billion = 1.54

So, 1.54 billion can be written as 1.54 x 10^9 in scientific notation.

Here's how to interpret this notation:

- The coefficient, 1.54, is a number between 1 and 10 (in this case, it's greater than or equal to 1 and less than 10).

- The power of 10, 9, tells us how many zeros are in the original number. In this case, there are 9 zeros in 1.54 billion.

To convert a number from scientific notation back to standard form, we multiply the coefficient by 10 raised to the power of the exponent.

For example, to convert 1.54 x 10^9 back to standard form, we would do:

1.54 x 10^9 = 1.54 billion (since there are 9 zeros in 10^9)

1.54 billion can be written in scientific notation as 1.54 x 10^9.

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Answer:

To find the annual rainfall in 2018, we need to add 12% of the rainfall in 2017 to the rainfall in 2017.

12% of 420mm can be calculated as:

12/100 * 420 = 50.4mm

Therefore, the annual rainfall in 2018 can be calculated as:

420 + 50.4 = 470.4mm

So the annual rainfall in 2018 in Opuwo was 470.4mm.

Step-by-step explanation:

the annual rainfall in Opuwo in 2018 was 470.4mm.

Why it is and what is Rainfall in mathematics?

To find the annual rainfall in 2018, we need to add 12% of the rainfall in 2017 to the rainfall in 2017.

12% of 420mm can be found by multiplying 420 by 0.12:

12% of 420 = 0.12 × 420 = 50.4

Therefore, the annual rainfall in 2018 is:

Annual rainfall in 2018 = Annual rainfall in 2017 + 12% of Annual rainfall in 2017

Annual rainfall in 2018 = 420 + 50.4

Annual rainfall in 2018 = 470.4mm

So the annual rainfall in Opuwo in 2018 was 470.4mm.

In mathematics, rainfall usually refers to the amount of precipitation (rain, snow, sleet, hail, etc.) that falls within a specific area over a given period of time, typically measured in millimeters or inches. Rainfall can be measured using various methods, such as rain gauges or radar, and is an important factor in hydrology, meteorology, and agriculture.

Rainfall data can be analyzed and modeled using mathematical techniques, such as statistical analysis and differential equations.

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The quotient of the given expression is 68.

What is the quotient?

A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.

For the given problem,

To find out the estimation of the quotient, we first round the dividend and the divisor to the closest tens, hundreds, or thousands, and then divide the rounded figures to approximate the quotient.

Given, 3411 divided by 53

So, the rounding value becomes 3400 divided by 50,

then, 3400/50 = 68

Hence, the quotient is 68.

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Hollow point is a point in which the function is undefined.

The function is undefined if the denominator is equal to 0.

From the problem, we have the function :

Equate the denominator to 0.

Then factor completely :

The values of x that will make the function undefined are x = -2 and -5

From the graph, the asymptote is located at x = -2, so we will put the hollow point at the other value of x which is x = -5

ANSWER :

Locate the hollow point at x = -5.

It will be :

Answer:

\(g^{-1}\)(x)=-\(\frac{3x}{2}\)-\(\frac{15}{2}\)

Step-by-step explanation:

Thus, shaded region bounded between the interval (-2,7) and (0,3) are the solution of the given linear inequalities.

The 2 linear programming is optimised using the graphical approach. Finding the ideal answer is best done using a graphical approach when there are two choice factors in the problem. The collection of inequalities are bound by limitations in this method. The disparities are then shown using an XY plane graphic.

Given linear inequalities are:

Y ≤ -x² - 4x +3

Y > x² + 3

Plot the graph of each equation using the graphing tool to get he solution.

From the graph:

Blue Region : Y ≤ -x² - 4x +3

green region: Y > x² + 3

Thus, shaded region bounded between the interval (-2,7) and (0,3) are the solution of the given linear inequalities.

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Answer:

2w/5

Step-by-step explanation:

Divide whole numbers by 11,leave the variable.