Solve for x in the image below

The mean monthly rainfall, Rounded to the nearest thousandth, is 2.520 inches.

To determine the mean monthly rainfall, we need to calculate the average of the rainfall values provided in the table. Here is the table:

| Month | Rainfall (in inches) |

|-------|----------------|

| January   | 2.3                

| February  | 1.7                

| March     | 3.2                

| April     | 2.9                

| May       | 2.5                

To find the mean monthly rainfall, we add up the rainfall values for each month and divide the sum by the total number of months. In this case, we have five months:

Mean Monthly Rainfall = (2.3 + 1.7 + 3.2 + 2.9 + 2.5) / 5

Calculating the sum of the rainfall values:

Mean Monthly Rainfall = 12.6 / 5

Dividing the sum by the number of months:

Mean Monthly Rainfall = 2.52

Rounded the result to the nearest thousandth, the mean monthly rainfall is approximately 2.520 inches.

Therefore, the mean monthly rainfall, rounded to the nearest thousandth, is 2.520 inches.

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Answer:

19.8

Step-by-step explanation:

We reduce 10% to decimal form (0.1) and add to 1 to form its reflective percentile increase. We multiply 18 by 1.1 to get 19.8

The quadratic equation is f(x) = (x + 9)² + 37, and  the numerical values of h and k are h = - 9 and k = 37, respectively

The function is given as:

f(x) = x² + bx + 118

Start by differentiating the function,

f'(x) = 2x + b

Set to 0

2x + b = 0

Solve for x

x = -b/2

Substitute x = -b/2 in f(x) = x² + bx + 118

f(-b/2) = (-b/2)² + b(-b/2) + 118

This gives

f(-b/2) = b²/4 - b²/2 + 118

Evaluate

f(-b/2) = - b²/4 + 118

Since, The minimum of the function is 37.

So, we have:

- b²/4 + 118 = 37

Subtract 118 from both sides

- b²/4 = - 81

Multiply both sides by -4

b² = 324

Take the square root of both sides

b = 18

Substitute b = 18 in f(x) = x² + bx + 164

f(x) = x² + 18x + 118

Rewrite as:

f(x) = (x² + 18x) + 118

This gives

f(x) = (x² + 18x + (18/2)² - (18/2)²) + 118

Rewrite as:

f(x) = (x² + 18x + 9²) - 9² + 118

f(x) = (x² + 18x + 9²) + 37

Express as a perfect square expression

f(x) = (x + 9)² + 37

Thus, The function is represented as:

f(x) = (x - h)² + k

By comparison, we have:

h = - 9 and k = 37

Hence, the numerical values of h and k are h = - 9 and k = 37, respectively

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The correct answer is: C) The graph of f(x) is reflected over the x-axis and translated 3 units up to become g(x).

To understand how the graph of f(x) changes to become g(x), let's analyze the transformations applied.

The function f(x) = log(3x) represents a logarithmic function, where the base of the logarithm is 10. The graph of f(x) will have a vertical asymptote at x = 0 and will increase as x increases.

The function g(x) = -f(x) + 3 takes the negative of f(x) and then adds 3 to it. This means that the graph of g(x) is obtained by reflecting the graph of f(x) over the x-axis and then translating it vertically 3 units up.

The reflection over the x-axis changes the sign of the y-values, so the graph of g(x) will be below the x-axis where the graph of f(x) is above the x-axis, and vice versa.

The translation 3 units up moves the entire graph vertically, shifting it higher on the coordinate plane.

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A. No corresponding statement.

B. No parallel lines in spherical geometry.

C. Three lines can form two spherical triangles.

D. Three great circles on a sphere divide it into eight separate parts.

We have,

A.

In spherical geometry, there are no lines that form vertical angles.

In this geometry, lines are great circles on the sphere, and any two great circles intersect at two points.

Therefore, the postulate that vertical angles are equal in measure does not have a corresponding statement in spherical geometry.

B.

In spherical geometry, if two lines meet a third line at the same angle, those lines are not parallel.

In fact, there are no parallel lines in spherical geometry.

Lines on a sphere will intersect at two points, and the angles formed by the intersection can be equal, but the lines themselves are not parallel.

C.

In spherical geometry, three lines can form two triangles. However, these triangles will have different properties compared to Euclidean triangles.

Spherical triangles have angles that add up to more than 180 degrees, and their side lengths are measured along arcs of great circles on the sphere.

D.

In-plane Euclidean geometry, three non-parallel lines divide the plane into 7 separate parts.

This property does not have a corresponding statement in spherical geometry.

In spherical geometry, three great circles on a sphere will divide the sphere into eight separate parts. Each of these parts is bounded by arcs of great circles.

Thus,

A. No corresponding statement.

B. No parallel lines in spherical geometry.

C. Three lines can form two spherical triangles.

D. Three great circles on a sphere divide it into eight separate parts.

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The probability that Marvin teleports at least once per day is 5/9.

The probability is calculated as follows:

In the morning, Marvin has 3 transportation options, and if he doesn't teleport, he has 2 remaining options.

So, the probability of not teleporting in the morning is 2/3.

In the evening, he also has 3 transportation options, and if he doesn't teleport, he has 2 remaining options.

So, the probability of not teleporting in the evening is also 2/3.

Probability of not teleporting in both morning and evening = (2/3) * (2/3)

Probability of not teleporting in both morning and evening = 4/9

Hence,

Probability of teleporting at least once per day = 1 - 4/9

Probability of teleporting at least once per day  = 5/9.

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Answer:

2/3

Step-by-step explanation:

On a timeline, we can put this in place. You don't have to wait if you come at most 5 minutes before the computer checks. If it checks every 15 minutes, then 5/15 = 2/3

Answer:

64:343

Step-by-step explanation:

Volume = lwh/3. If we change the factors into:

lw4/3 v.s. lw7/3

if lw = 3

4:7

However, if they are similar you must find the volume

4^3/7^3 = 64/343

The probability that the coin shows heads and the die shows an odd number is 1/4 or 0.25, which can also be expressed as 25% or 0.25 in decimal form.

To determine the probability that a coin shows heads and a die shows an odd number, we need to consider the individual probabilities of each event and then multiply them together.

1. The probability of the coin showing heads is 1/2, as there are two equally likely outcomes (heads or tails) and only one of them is heads.

2. The probability of the die showing an odd number is 3/6, or 1/2, since there are six equally likely outcomes when rolling a fair six-sided die, and three of them (1, 3, and 5) are odd numbers.

To find the probability of both events occurring, we multiply the probabilities: (1/2) * (1/2) = 1/4.

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Ax²+Bx+Cy²+Dy+E=0

so in the template above for a conic, the defining components are the coefficients A and C

• If either A=0 or C=0, then the equation is a Parabola

• if A=C, then we have a Circle

• if either A or C is negative, and A≠C, then we have a Hyperbola

• if A and C are both positive or both negative, and A≠C, then we have an Ellipse.

notice, 5x² and 5y² have the same coefficient, thus a circle baby!

All the solutions are,

1) Vertex = (3, 0)

2) Equation for the line of symmetry is,

⇒ x = 3

3) Coordinates of the y-intercept is,

⇒ Y - intercept = (0, 9)

4) Coordinates of the x-intercept(s) is,

⇒ Y - intercept = (3, 0)

We have to given that,

A graph of parabola is shown in image.

Now, From the graph of parabola we get;

Coordinates of the vertex is,

Vertex = (3, 0)

Equation for the line of symmetry is,

⇒ x = 3

Since, The graph at point 9 on y - axis,

Hence, Coordinates of the y-intercept is,

⇒ Y - intercept = (0, 9)

Since, The graph cut at point 3 on x - ais,

Hence, Coordinates of the x-intercept(s) is,

⇒ x - intercept = (3, 0)

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The surface area of the prism include the following: C. two hundred seventy-five and one-eighth cm².

In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:

Surface area of a rectangular prism = 2(LH + LW + WH)

Where:

By substituting the given side lengths into the formula for the surface area of a rectangular prism, we have the following;

Surface area of rectangular prism = 2[(23/4 × 4) + (23/4 × 47/4) + (4× 47/4)]

Surface area of rectangular prism = 2[23 + 1081/16 + 47]

Surface area of rectangular prism = 275 1/8 cm².

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The line plot is:  

       x

          x     x

          x     x                       x                                       x

   x     x     x       x              x                              x        x

<--0---10---20---30---40---50---60---70---80---90---100--->

We have,

Data:

0, 10, 10, 10, 10, 20, 20, 20, 30, 50, 50, 90, 100, 100

We see that,

There are four 10.

This means,

There will be four dots above the number 10 on the line plot.

And,

There are three 20.

There are one 30.

There are two 50.

Thus,

          x

          x     x

          x     x                       x                                       x

   x     x     x       x              x                              x        x

<--0---10---20---30---40---50---60---70---80---90---100--->

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There are 3 rovers does Halima make.

We have to given that,

Halima makes model rovers for a science project about space.

And, She puts 6 wheels on each rover, and she has 20 wheels.

Now, We have;

Total number of wheels = 20

Number of wheels In each rover = 6

Hence, Number of rovers Halima make is,

⇒ 20 / 6

After divide,

Quotient = 3

Remainder = 2

Thus, There are 3 rovers does Halima make.

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There are 6 bundles are used to make one block of cardboard.

To determine how many bundles are used to make one block of cardboard, we first need to know how many bundles are stacked and tried together to reach a height of 1.2 metres.

Let's assume that each bundle is 0.2 metres high, so it would take six bundles stacked and tried together to make a block that is 1.2 metres high.

Therefore, we can conclude that six bundles are used to make one block of cardboard.

It's important to note that this calculation may vary depending on the dimensions of the bundles and blocks used in the cardboard manufacturing process. However, based on the information provided in the question,

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The new pyramid has a volume that is 2 times the volume of the original pyramid .

Given,

The new pyramid has a volume that is 2 times the volume of the original pyramid.

The volume of a rectangular pyramid is given by:

V = l × b × h

Where l is the length ,b is the width and h is the height

Now,

l'=l/2

b'=b/2

h'=2h

V' = Volume of new pyramid

= l' × b' × h'

= l/2×b/2×2h

= lbh/2

=V/2

Hence, Volume of new pyramid=2×Volume of old pyramid .

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The translation "If you see a penny, pick it up, all day long you'll have good luck" is represented as (SAP) ➡ G in formal logic.

In formal logic, we often use symbolic notation to represent statements and their logical relationships.

In this case, the natural language sentence is being translated into formal logic using symbolic variables and logical connectives.

The translation provided uses three variables:

S represents the statement "You see a penny."

P represents the statement "You pick the penny up."

G represents the statement "All day long you'll have good luck."

The arrow (➡) is a logical connective that represents implication.

It signifies that the statement on the left side of the arrow (SAP) implies the statement on the right side (G).

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The given equation 0 + x = 0 is true only when x = 0.

The given expression is,

0 + x = 0

Since we know that,

Using operations like addition, subtraction, multiplication, and division, a mathematical expression is defined as a group of numerical variables and functions.

Here we can see that,

The given equation has sense only when,

x = 0

Therefore,

If we put x = 0 in the given equation we get

⇒ 0 + 0 = 0

⇒ 0 = 0

Thus,

The given expression is valid only when

x = 0.

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Answer:

Hi

Please mark brainliest ❣️

Step-by-step explanation:

Collect like terms

3x -6x = -8 +4

-3x = -4

Divide by -3

x= 4/3

Answer:

X =4/3

Step-by-step explanation:

3x-4= 6x -8

-3x. -3x

-4=3x -8

+8. +8

4=3x

Divide by 3 on Both sides to get x by itself

4/3 = x

The quotient ^3√60 / ^3√20 simplifies to 2.

To simplify the quotient ^3√60 / ^3√20, we can apply the rules of exponents for radicals.

Let's start by simplifying the individual cube roots:

^3√60 = ^3√(2^2 × 3 × 5) = 2^2 × ^3√(3 × 5) = 2^2 × ^3√(15).

Similarly,

^3√20 = ^3√(2^2 × 5) = 2 × ^3√5.

Now we can rewrite the original quotient using these simplified forms:

^3√60 / ^3√20 = (2^2 × ^3√15) / (2 × ^3√5).

Since we have the same cube root in the numerator and denominator, we can cancel them out:

^3√60 / ^3√20 = (2^2 × ^3√15) / (2 × ^3√5) = 2^2 / 2 = 4 / 2 = 2.

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Based on the information in the image, we can infer that the median of both graphs is 16 (brand x) and 11 (brand y).

To identify the median we must take into account the information in the graphs. In this case we must take the values of the extremes of the graphs and add them. Once we have added them we must divide the result by 2 to find the median. Based on the above, we can infer that the correct answer is:

16 brand x

11 brand and

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The statements that are true are B and D.

Given are some statements we need to check which is true.

Let's analyze each statement:

A. 4 is a perfect cube.

False. 4 is not a perfect cube because there is no integer that can be cubed to give 4.

B. 16 is a perfect square.

True. 16 is a perfect square because it can be expressed as 4^2, where 4 is an integer.

C. 2,197 is both a perfect square and a perfect cube.

False. 2,197 is not a perfect square because there is no integer that can be squared to give 2,197.

However, it is a perfect cube because 13³ equals 2,197.

D. 8 is a perfect cube.

True. 8 is a perfect cube because it can be expressed as 2³, where 2 is an integer.

E. 18 is neither a perfect square nor a perfect cube.

True. 18 is neither a perfect square nor a perfect cube because there is no integer that can be squared or cubed to give 18.

Therefore, the statements that are true are B and D.

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The measure of angle V is,

⇒ ∠ V = 53°

We have to given that,

A parallelogram VWXY are shown in image.

Since, We know that,

Opposite angles of a parallelogram is equal.

Hence, We get;

⇒ ∠W = ∠Y

Substitute all the values, we get;

⇒ (2x + 29) = (10x - 27)

Solve for x,

⇒ 2x + 29 = 10x - 27

⇒ 29 + 27 = 10x - 2x

⇒ 56 = 8x

⇒ x = 56 / 8

⇒ x = 7

So, Measure of Angle Y is,

⇒ ∠ Y = (10x - 27)

⇒ ∠ Y = 10 x 7 - 17

⇒ ∠ Y = 70 - 17

⇒ ∠ Y = 53°

We know that,

In a parallelogram, alternate angle are equal.

⇒ ∠Y = ∠ V

⇒ ∠ V = 53°

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The probability of winning the jackpot is 0.000065

The number of successful outcomes is 1 because there is only one winning combination.

The total number of possible outcomes can be calculated by multiplying the number of possibilities for each event:

Number of possibilities for selecting 5 white balls out of 13:

This can be calculated using the combination formula (nCr).

In this case, it is 13C5.

Number of possibilities for selecting 1 gold Mega Ball out of 12 is simply 12.

Therefore, the total number of possible outcomes is (13C5) × 12.

To calculate (13C5), we can use the combination formula: nCr = n! / (r! (n - r)!)

(13C5) = 13! / (5! × (13 - 5)!)

= 13! / (5! × 8!)

= (13 × 12 × 11 × 10 × 9) / (5 × 4 × 3 × 2 × 1)

= 1287

Now, we can calculate the total number of possible outcomes:

Total number of possible outcomes = (13C5) × 12

= 1287 × 12

= 15444

The probability of winning the jackpot by dividing the number of successful outcomes by the total number of possible outcomes:

Probability of winning the jackpot = 1 / 15444

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The true statements are:

B. f(0) = 10

D. The domain for f(x) is the set (-5, -3, 0, 2, 6, 7, 9, 10, 13).

According to the given table,

when x = 0, the corresponding value of y is 10.

So, f(0) = 10.

Now, the domain for f(x) represents all the possible x-values for which there is a corresponding y-value in the table.

From the given table, we can see that the x-values in the domain are -5, -3, 0, 2, 6, 7, 9, 10, and 13.

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Answer:

30 cm

Step-by-step explanation:

We Know

The formula for Perimeter of rectangle = 2 (L + W)

Perimeter = 90 cm

Width = 15 cm

Find the length.

We Take

90 = 2 (L + 15)

45 = L + 15

L = 30 cm

So, the length is 30 cm

Using equations;

a. The total pages to read is 5

b. Marco has to read 20 pages

a. To find the total number of pages Marco has read, we need to sum up the number of pages he reads each day. Since he reads 4 pages every day, we can find the total number of pages read by multiplying 4 by the number of days he has been reading.

Let's say Marco takes x days to finish reading the book. Then the total number of pages he has read can be calculated as:

Total pages read = 4x

To find the total number of days it will take him to finish reading the book, we need to determine the value of x. In the given information, it is mentioned that the number of pages left to read each day (y) can be modeled by the equation y = 20 - 4x, where x ≥ 0.

Since y represents the number of pages left to read, we can set it equal to zero to determine when Marco will finish reading the book:

20 - 4x = 0

Now, let's solve this equation for x:

20 - 4x = 0

4x = 20

x = 20/4

x = 5

Therefore, it will take Marco 5 days to finish reading the book.

b. To find the total number of pages he has read, we substitute the value of x into the equation for total pages read:

Total pages read = 4 * x

Total pages read = 4 * 5

Total pages read = 20

Therefore, Marco has read a total of 20 pages.

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i. The monthly payment is approximately $143,397.56.

ii. The company will pay approximately $2,016,763.52 in interest over the 6-year term of the loan.

i. To calculate the monthly payments for a loan, we need to use the loan term, interest rate, and loan amount with the following formula:

M =[tex]P * (r * ((1 + r)^n)) / (((1 + r)^n) - 1)[/tex]

where M is the monthly payment, P is the loan amount, r is the interest rate per month (which is the annual rate divided by 12 months), and n is the total number of payments (which is the loan term multiplied by 12 months).

Using the given values, we get:

P = $8,300,000

r = 9.2% / 12 months = 0.7667%

n = 6 years * 12 months/year = 72

M = $8,300,000 * (0.7667% * ((1 + 0.7667%)^72)) / (((1 + 0.7667%)^72) - 1)

M ≈ $143,397.56

ii. To calculate the total interest paid on a loan, we need to subtract the loan amount from the total amount paid and use the following formula:

Total interest = Total amount paid - Loan amount

The total amount paid over the 6-year term of the loan is the monthly payment multiplied by the total number of payments:

Total amount paid = M * n

Using the values we calculated in part (i), we get:

Total amount paid = $143,397.56 * 72 = $10,316,763.52

Therefore, the total interest paid on the loan is:

Total interest = $10,316,763.52 - $8,300,000 = $2,016,763.52

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Answer:

f(x) = (1/5)(x - 3)^3 + 4

Step-by-step explanation:

I don't know what you're specifically asking for but im going to show you the equation for the stated problem.

To vertically compress the function by a factor of 1/5, we multiply the function by 1/5, resulting in f(x) = (1/5)x^3.

To translate the function three units to the right, we replace x with (x - 3), giving us f(x) = (1/5)(x - 3)^3.

To further translate the function four units up, we add 4 to the function, resulting in f(x) = (1/5)(x - 3)^3 + 4.

Hope i helped :))

Answer:

x ≈ 5.4 feet

Step-by-step explanation:

using Pythagoras' identity in the right triangle

the square on the hypotenuse x is equal to the sum of the squares on the other 2 sides.

horizontal leg = 5 units = 5 feet

vertical leg = 2 units = 2 feet

Then

x² = 5² + 2² = 25 + 4 = 29 ( take square root of both sides )

x = [tex]\sqrt{29}[/tex] ≈ 5.4 feet ( to the nearest tenth of a foot )