the sum of triple the number j and 21

Answer:

I think it might be 10 yd but I wish I could be a better help

Step-by-step explanation:

The student in the video is trying to determine if the number of sides of a regular polygon has a relationship to the sum of its interior angles.

They are specifically interested in finding a formula that can be used to calculate the sum of the interior angles of any regular polygon, given the number of sides.

The student's conjecture is that the sum of the interior angles of a regular polygon is equal to (n-2)*180, where n is the number of sides.

In order to test their conjecture, the student drew a regular polygon with 3 sides, 4 sides, 5 sides, and so on, up to a regular polygon with 100 sides. They then calculated the sum of the interior angles of each polygon and compared their results to their conjecture.

The student's results showed that the sum of the interior angles of each regular polygon was equal to (n-2)*180, as they had conjectured. This suggests that their conjecture is correct.

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Answer: 1/ 3 ^9

Step-by-step explanation:

Answer:

1/39

Step-by-step explanation:

3-9=1/39

The answer is 0ne over three exponent nine

Answer: it stand for 3 million or 3,000,000

Step-by-step explanation:

Answer:

million

Step-by-step explanation:

millions always have six 0's behind it

a.

The estimated total cost of the grocery items is $36.

b.

The actual total cost of the grocery items is $35.82.

for part a.

We will round each price to the nearest dollar:

$5.12 =  $5

$3.07 = $3

$7.11 = $7

$1.67 = $2

$13.18=  $13

$5.67 = $6

Summing them up, we have:

$5 + $3 + $7 + $2 + $13 + $6 = $36

the estimated total cost of the grocery items is $36.

for part b.

We will calculate the actual total cost of the grocery items by using a calculator:

$5.12 + $3.07 + $7.11 + $1.67 + $13.18 + $5.67 = $35.82

In conclusion, we will find the  actual total cost of the grocery items as $35.82.

The complete question is added as an image

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The decimal 0.36 can be represented as a fraction in simplest form as 9/25. It can also be expressed as a repeating decimal using a variable.

a) 0.36 can be represented as a fraction in simplest form by using place value to identify the denominator. The number 3 is in the hundredths place value position.

Thus, the denominator is 100. 36 is in the numerator position.

Therefore, 0.36 in fraction form is 36/100 which simplifies to 9/25.

b) 0.36 can be represented as a fraction in simplest form by identifying the denominator based on place value.

In this case, 6 is in the thousandths place value position, so the denominator is 1000. 36 is in the numerator position. Thus, 0.36 in fraction form is 36/1000 which can be simplified to 9/250.

c) To write 0.36 as a fraction in simplest form, the place value of each digit needs to be considered. 3 is in the tenths place value position and 6 is in the hundredths place value position.

Therefore, 0.36 in fraction form is 36/100 which simplifies to 9/25.The decimal 0.36 can be represented in fraction form as 36/100 or 9/25.

To determine the fraction in simplest form, the denominator must be reduced to its lowest possible value without changing the numerator. The decimal 0.36 with a line on top of 3 and 6 represents a repeating decimal.

To express this number as a fraction, a variable is used.

In this case, the variable x is equivalent to 0.36. By setting up a proportion and solving for x, the answer can be found.

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Answer: 600000

Step-by-step explanation: just multiply it man

Based on the information, the minimum value is 15, and the maximum value is 30.

To find Q1: Calculate the position of Q1 using the formula: Position = (n + 1) * (Q / 100), where n is the total number of values and Q is the desired percentile (25).

Position = (22 + 1) * (25 / 100) = 5.75 (rounded to 6)

Take the average of the values at positions 6 and 7 to find Q1.

Q1 = (18 + 19) / 2 = 18.5

To find Q2 (the median): Calculate the position of Q2 using the formula: Position = (n + 1) * (Q / 100), where n is the total number of values and Q is the desired percentile (50).

Position = (22 + 1) * (50 / 100)

= 11.5 (rounded to 12)

The value at position 12 is the median.

Q2 = 21

To find Q3: Calculate the position of Q3 using the formula: Position = (n + 1) * (Q / 100), where n is the total number of values and Q is the desired percentile (75).

Position = (22 + 1) * (75 / 100) = 16.5 (rounded to 17)

Take the average of the values at positions 17 and 18 to find Q3.

Q3 = (28 + 29) / 2 = 28.5

The minimum value is 15, and the maximum value is 30.

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Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.

The profit function is given by P(x) = -50x + 20,000x - 1,500,000.

To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:

-50x + 20,000x - 1,500,000 > 0.

Combining like terms, we have:

19,950x - 1,500,000 > 0.

Now, let's solve this inequality for x:

19,950x > 1,500,000.

Dividing both sides by 19,950, we get:

x > 1,500,000 / 19,950.

Simplifying the right side, we have:

x > 75.

The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

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Hello!

[tex]\sf 89x - 135 = 24\\\\89x = 24 + 135\\\\89x = 159\\\\\boxed{\sf x = \dfrac{159}{89}} \\\\[/tex]

Hello!

So the 2 angles of the base are equal, so:

(180 - 74)/2 = 53° one of the 2 angles

          74°

          /\
        /    \
      /        \
    /            \

53°             53°

180 - 74*2 = 32°

          32°

          /\
        /    \
      /        \
    /            \

74°             74°

So the others angles can be:

- 74° and 53°

- 74° and 32°

The simplified expression is m^1 or simply m.

To simplify the expression −m^(-8) * m^9 without using negative exponents, we can utilize the properties of exponents.

First, let's deal with the negative exponent. A negative exponent indicates that the term should be moved to the denominator. So, we can rewrite −m^(-8) as 1/m^8.

Now, we can simplify the expression further: 1/m^8 * m^9.

When multiplying terms with the same base, we add the exponents. In this case, we have m^(-8) * m^9, which becomes m^(-8 + 9) = m^1 = m.

Finally, multiplying 1/m^8 by m gives us (1/m^8) * m = 1/m^(8-1) = 1/m^7.

Therefore, the simplified expression is 1/m^7, where m is the variable restricted to those numbers for which the expression is defined. By eliminating the negative exponent and combining like terms, we've simplified the expression without using negative exponents.

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Given statement solution is :- To find the area of the shaded region, we first need to determine the shapes involved and their respective areas.  A general process that you can apply to various scenarios, Identify the shapes , Break down the region, Calculate individual areas.

To find the area of the shaded region, we first need to determine the shapes involved and their respective areas. Without a specific diagram or description, I'll provide a general process that you can apply to various scenarios.

Identify the shapes: Examine the diagram and determine the shapes that make up the shaded region. These shapes can include rectangles, triangles, circles, or combinations of them.

Break down the region: If the shaded region consists of multiple shapes, break it down into simpler, recognizable shapes. This step is crucial for accurately calculating the total area.

Calculate individual areas: Determine the area of each shape by using the appropriate formulas. Here are some common formulas:

Rectangle: Area = length × width

Triangle: Area = (base × height) / 2

Circle: Area = π × radius²

Sum the individual areas: Add up the areas of all the individual shapes to find the total area of the shaded region.

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For question 3.) The three ratios for the marked angle would be =9.45:sin90°, 5:sinB, 8:sinA

For question 3.)

To determine the three ratios, the sine rule needs to be obeyed and the formula is written below as follows;

Sine rule:

a/sinA = b/sinB = c/sinC

where;

a = 8

A = sinA

b = 5

B = SinB

c = 9.45

C = Sin 90°

The three ratios;

= 9.45:sin90°; 5:sinB; 8:sinA

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It should be noted that there will always be two people in attendance who have the same number of friends at the party using the pigeonhole principle.

The pigeonhole principle states that if you have n pigeons and m pigeonholes, and n > m, then at least one pigeonhole must contain more than one pigeon.

In this case, we have n people at the party, and there are m = n - 1 possible numbers of friends that a person can have. This is because a person can either know 0, 1, 2, ..., or n - 1 other people.

Since n > m, the pigeonhole principle tells us that at least two people at the party must have the same number of friends.

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The temperature drops by [tex]31\°C[/tex] from day to night in this city.

To calculate the temperature drop from day to night in [tex]\°C[/tex], we subtract the average nightly low temperature from the average daily high temperature.

Given:

Average nightly low temperature: [tex]-40\°C[/tex]

Average daily high temperature: [tex]-9\°C[/tex]

The temperature drop can be calculated as:

Temperature drop = Average daily high temperature - Average nightly low temperature

Substituting the given values:

Temperature drop = [tex]-9\°C - (-40\°C)[/tex]

Simplifying the equation:

Temperature drop = [tex]-9\°C + 40\°C[/tex]

Temperature drop = [tex]31\°C[/tex]

The concept of temperature drop refers to the difference in temperature between two specific periods or conditions. In this case, we are looking at the temperature drop from day to night in a city in China known for its cold climate.

Therefore, the temperature drops by [tex]31\°C[/tex] from day to night in this city.

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Answer:

0.339, or approximately 33.9%

Step-by-step explanation:

We can solve this problem using Bayes' theorem. Let F denote the event that the selected student is female, and J denote the event that the selected student is taking Japanese classes. We want to find the probability of F given J, which we can write as P(F|J).

Using the law of total probability, we can decompose the probability of J as follows:

P(J) = P(J|F)P(F) + P(J|M)P(M)

where M denotes the event that the selected student is male. We can calculate the probabilities on the right-hand side of this equation as follows:

P(J|F) = 0.1 (from the problem statement)

P(F) = 0.51 (from the problem statement)

P(J|M) = 0.2 (from the problem statement)

P(M) = 0.49 (from the problem statement)

Plugging in these values, we get:

P(J) = 0.10.51 + 0.20.49 = 0.149

Now we can use Bayes' theorem to find P(F|J):

P(F|J) = P(J|F)P(F) / P(J)

Plugging in the values we calculated earlier, we get:

P(F|J) = 0.1*0.51 / 0.149 = 0.339

Therefore, the probability that the selected student is female given that they attend Japanese classes is 0.339, or approximately 33.9%.

Hope this helps!

The steps that should be followed in order to solve the inequality statement -3t + 7 ≥ 9 include the following: B. subtract 7, divide by -3, and flip the inequality symbol.

In Mathematics and Geometry, an inequality is a relation that compares two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Based on the information provided above, we have the following equation (inequality);

-3t + 7 ≥ 9

By subtracting 7 from both sides of the equation (inequality), we have;

-3t + 7 - 7 ≥ 9 - 7

-3t ≥ 2

By dividing both sides of the equation (inequality) by -3, we have;

t ≥ 2/-3

t ≤ 2/3 (flip the inequality symbol).

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The measure of angle D of the given Kite is: 127°

From the diagram, the figure represents a kite.

Properties of a kite are:

- Two pairs of adjacent sides are equal.

- Two diagonals intersect each other at right angles.

- The longer diagonal bisects the shorter diagonal.

- The angles opposite to the main diagonal are equal.

Thus:

The angle B = the angle D

The sum of all angles of a quadrilateral = 360

Given: ∠A = 36 and ∠C = 70

Thus:

2∠D = 360 - (36 + 70)

2∠D = 254

∠D = 127°

So, the measure of angle D = 127°

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Each letter should be matched to its correct term as follows;

1. A ⇔ Efficiency.

2. B ⇔ Impossible.

3. C ⇔ Inefficiency.

In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;

Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;

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The solution to the inequality |[tex]2x+1[/tex]| ≥ [tex]3[/tex] is [tex]x[/tex] ≥ [tex]1[/tex].

To solve the inequality |[tex]2x+1[/tex]| ≥ [tex]3[/tex] , we need to consider two cases: when the expression inside the absolute value is positive and when it is negative. Here's a step-by-step explanation:

Case 1: |[tex]2x+1[/tex]| ≥ [tex]3[/tex]

Subtract 1 from both sides of the inequality:

[tex]2x + 1 - 1[/tex] ≥ [tex]3 - 1[/tex]

2x ≥ 2

Divide both sides of the inequality by 2:

[tex]$\frac{2x}{2} ≥ \frac{2}{2}$[/tex]

x ≥ 1

Case 2: -([tex]2x+1[/tex]) ≥ [tex]3[/tex]

Multiply both sides of the inequality by -1 (to reverse the inequality):

-[tex]1(2x + 1)[/tex] ≤ [tex]-1(3)[/tex]

-2x - 1 ≤ -3

Add 1 to both sides of the inequality:

[tex]-2x - 1 + 1[/tex] ≤ [tex]-3 + 1[/tex]

-2x ≤ -2

Divide both sides of the inequality by -2 (note that we need to reverse the inequality sign when dividing by a negative number):

[tex]$\frac{-2x}{-2} ≥ \frac{-2}{-2}$[/tex]

x ≥ 1

Combining the solutions from both cases, we have x ≥ 1.

Therefore, the solution to the inequality |[tex]2x+1[/tex]| ≥ [tex]3[/tex] is [tex]x[/tex] ≥ [tex]1[/tex].

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Assuming that you want this to be expanded, simply multiply each term in the first set of parentheses with each term in the second parentheses:

(-2x + 10) (-9x + 5)

18x^2 - 10x - 90x + 15

18x^2 - 100x + 15

If the question, instead, is asking you to find the x-intercepts, set the expression to zero and solve:

0 = (-2x + 10) (-9x + 5)

0 = -9x + 5 <- divide -2x+10 on all sides

5/9 = x

OR

0 = -2x + 10

5 = x

Answer:

(-2x + 10) (-9x + 5) is a polynomial expression that represents the product of two binomials. To solve this expression, you can use the FOIL method, which stands for First, Outer, Inner, Last.

FOIL method:

First: multiply the first terms of each binomial (-2x and -9x) to get 18x^2

Outer: multiply the outer terms of each binomial (-2x and 5) to get -10x

Inner: multiply the inner terms of each binomial (10 and -9x) to get -90x

Last: multiply the last terms of each binomial (10 and 5) to get 50

Then, combine like terms to get the final expression:

(-2x + 10) (-9x + 5) = 18x^2 - 100x - 90x + 50 = 18x^2 - 190x + 50

Step-by-step explanation:

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A graph that represents the absolute function f(x) = |x + 4| - 3 is shown on the coordinate plane attached below.

In Mathematics and Geometry, an absolute value function is a type of function that contains an expression, which is placed within absolute value symbols, and it measures the distance of a point on the x-axis to the x-origin (0) of a graph.

By critically observing the transformed absolute value function f(x) = |x + 4| - 3, we can reasonably infer and logically deduce that the parent absolute value function g(x) = |x| was vertically shifted (translated) downward by 3 units and horizontally shifted (translated) to the left by 4 units, in order to produce it as follows;

g(x) = |x|

f(x) = |x + h| - k

f(x) = |x + 4| - 3

In conclusion, we would use an online graphing tool to plot the given absolute value function f(x) = |x + 4| - 3 as shown in the graph attached below.

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