what is the circumference of a 12mm circle

The quantity of ribbon that Ali started with was 16/21 feet, based on the mathematical operation of addition.

The basic mathematical operations include addition, subtraction, division, and multiplication.

In the addition operation, two or more addends are added to obtain a result called the sum or total using the equation symbol (=) and the addition operand (+).

The quantity of ribbon attached to the rearview mirror = 2/7

The remaining quantity of ribbon after the attachment = 10/21

The quantity of ribbon Ali started with = 16/21 (2/7 + 10/21)

Thus, using the addition operation, we can conclude that Ali started with 16/21 feet of ribbon.

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The price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit is 62.13

y = -14x² + 1035x - 10266

-14x² + 1035x - 10266 = 0

x = -b ± √b² - 4ac / 2a

= -1035 ± √1035² -4(-14)(-10266) / 2(-14)

= -1035 ± √1071225 - 574896 / -28

= -1035 ± √496329 / -28

x = 1035 / 28 ± √496329 / 28

x = 11.80 or 62.13

The maximum value of x is 62.13

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Answer:

(J ∪ L) = { -1, 1 , 2, 3, 5, 7, 8}

(J ∩ L) = { -1 , 3, 5, 8}

Answer:

c )

Step-by-step explanation:

To find equivalent inequalities, we are looking to isolate x on the left side.

a) x < 4 ✅

b) x -1 < 3 add 1 to both sides  x -1 +1 < 3 +1 result x < 4 ✅

c) x + 1 < 4 subtract 1 from both sides x + 1 -1 < 4 -1 result x < 3 ❌

d) x - 2 < 2 add 2 to both sides x - 2 +2 < 2+2 result x < 4 ✅

Answer:

\(y = 5x + 1\) and \(y = 5x + 2\) are two equations of lines that are perpendicular to the line whose equation is x + 5y = 50.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

\(y = mx + b\)

In which m is the slope and b is the y-intercept.

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

In this question:

The equation of the line is:

\(x + 5y = 50\)

Placing in the standard format:

\(5y = -x + 50\)

\(y = -\frac{x}{5} + 10\)

The slope is \(-\frac{1}{5}\)

Slope of the perpendicular lines:

\(-\frac{m}{5} = -1\)

\(m = 5\)

So

\(y = 5x + b\)

Attributing two values to b:

\(y = 5x + 1\) and \(y = 5x + 2\) are two equations of lines that are perpendicular to the line whose equation is x + 5y = 50.

Answer:

the opposite number is going to be negative because if  x is to the right of the number line then the opposite will be of the left of 0 making the opposite number negative.

Step-by-step explanation:

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The quotient of - 3.32 / - 2.2 is 8 ÷5.

Given fraction:

-3.32 / -2.2

First step is to re-write the given fraction which is - 3.52 / - 2.2

3.52 / 2.2

Second step is to convert the decimal to fraction

352 ÷ 100 / 22 ÷10

Third step is to reduce the fraction

reducing 352/100

=(2^5 × 11)/(2^2 × 5^2)

= [(2^5 × 11) ÷ 2^2] / [(2^2 × 5^2) ÷ 2^2]

= (2^3 × 11)/5²

= 88/25

Reducing 22/10

Divide the numerator and denominator by the greatest common divisor

= 22 ÷ 2 / 10 ÷ 2

= 11 /5

Now let determine  or find the quotient

88 ÷ 25 × 11 ÷ 5

= 8 ÷ 5

Therefore we can conclude that 8 ÷ 5 is the quotient.

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Answer:

geometry

Step-by-step explanation:

left side of paper

Answer:

F(5) = 17, F(4) = -19

Step-by-step explanation:

F(5) = 4(5) - 3

F(5) = 20 - 3

F(5) = 17

F(4) = 4(-4) - 3

F(4) = -16 - 3

F(4) = -19

Answer:

the answer is 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is 2, because it is the only factor that can go with both of the numbers.

X (the number that reach a live person) have a binomial distribution.

In this question we have been given when an opinion poll calls residential telephone numbers at random, only 20% of the calls reach a live person. You watch the random dialing machine make 15 calls, X is the number that reach a live person.

We need to state whether X have a binomial distribution.

20% of the calls reach a live person.

So, the probability that any individual call reaches a live person is 0.2

The sample size (n) = 15 calls

X represent the number of calls that actually reach a live person.

So there are 15 attempts, 15 calls that will attempt to reach a live person.

The probability that any one of those individual calls actually reaches a live person is 0.20 and X will represent the number out of those 15 calls that are placed actual represent the number of those calls that actually reached a live person.

Therefore, the X is a binomial random variable.

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Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

So, the spread of the numbers 4, 6, 7, 9, 9 is 5.

Spread can refer to different things depending on the context. Here are a few examples:

In finance, spread refers to the difference between the bid price and the ask price of a security or asset. The bid price is the highest price a buyer is willing to pay for a security, while the ask price is the lowest price a seller is willing to accept. The spread represents the cost of trading that security or asset and is typically measured in basis points (hundredths of a percentage point).

In sports betting, spread refers to the point spread or handicap that is assigned to a team in order to make the betting odds more even. For example, if a football team is favored to win by 7 points, they may be assigned a -7-point spread, meaning they would have to win by more than 7 points for a bet on them to be successful.

In epidemiology, spread refers to the transmission of a disease from one person to another. The spread of a disease can be influenced by a variety of factors, including the infectiousness of the disease, the proximity and frequency of contact between people, and the effectiveness of measures to prevent transmission (such as vaccines or masks).

In cooking, spread can refer to a variety of ingredients that are used to spread on bread or crackers, such as butter, jam, or peanut butter.

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The ordered pair that solves the system of equation is (0, 0).

To solve this system, we can substitute the first equation into the second equation to eliminate y:

x = 2x

Solving for x, we get x = 0.

Substituting x = 0 into the first equation, we get y = 0.

Therefore, the ordered pair that solves the system is (0, 0).

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It depends on the number of variables, if the inequality has one variable, then it is graphed on a number line.

The type of diagram that we need to use depends on the number of variables that we have.

That is the main reason, for example:

x > 2

Is graphed on a number line.

y > 3x + 4

is graphed on a coordinate plane.

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Answer:

A

Step-by-step explanation:

The area of a kite is half of the product of the length of the diagonals, or in this case 16*12/2=96 square feet. Hope this helps!

Answer:

a. 96 ft^2

Step-by-step explanation:

You can cut the kite into 2 equal triangle halves vertically.

Then you can use the triangle area formula and multiply it by 2 since there are 2 triangles.

\(\frac{1}{2} *12*8*2=\\6*8*2=\\48*2=\\96ft^2\)

The kite's area is a. 96 ft^2.

The equation formed after the transformations is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

The parent function in this problem is defined as follows:

\(f(x) = \sqrt{x}\)

For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x}\)

For the translation left 3 units, we have that x -> x + 3, hence:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

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Answer:

1531 pesos

Step-by-step explanation:

The profit when x=10 is calculated as follows:

P(10) = 10^3 + 5(10^2) + 3(10) + 1 = 1000 + 500 + 30 + 1 = 1531 pesos.

Step-by-step explanation:

x+x+10+50=180

2x+60=180

2x=180-60

2x=120

x=120/2

x=60

Answer:

Step-by-step explanation:

Your answer

Meal is 22$

10% tax, tax with price = 24.2$

She gave on tip = 4.84$

Total price = 29.04$

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The correct answer is: O Yes, distance and angle measure are preserved.

When a triangle ABC is reflected across the line y = x, the pre-image and image are congruent.

This is because the line y = x is the perpendicular bisector of the segment joining each corresponding point of the pre-image and image.

Reflection across the line y = x is a type of transformation known as an isometry, which preserves both distance and angle measure.

Here's why:

Distance preservation:

When a point is reflected across the line y = x, the distance between the original point and its reflection remains the same.

This holds true for all corresponding points of the triangle.

Therefore, the distance between any two corresponding points in the pre-image and image triangle will be equal, resulting in distance preservation.

Angle preservation: When a line segment is reflected across the line y = x, the angle between the line segment and the line y = x is preserved. This means that the corresponding angles in the pre-image and image triangle will be congruent.

Since both distance and angle measure are preserved during reflection across the line y = x, the pre-image and image triangles are congruent.

It's important to note that congruence under reflection across a line holds only when the line of reflection is the same for both the pre-image and image.

If the line of reflection were different, the triangles would not be congruent.

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Answer: 375

Step-by-step explanation:

Ruling out each number:

6: In the first two rows, the 6's placement did not change but the clue did, meaning that it is talking about a different number. Otherwise, it would say it's in the right place twice or in the wrong place twice.

3 & 5: Since we know 6 is already ruled out, both 5 & 3 would have to be correct.

2 & 4 & 8: Is proven wrong in the 4th clue.

7: 7 would have to be in the middle since the second clue says it's in the wrong place. If it was 1, it would say it's in the right space.

1: Is proven wrong after 7 is proven true.

Figuring out placement:

5: For the first clue, it says that it's in the correct place meaning that 5 is the last digit.

3: For both of the times 3 appears, it is in the wrong spot, revealing that it's the first digit.

7: In the second clue, it could either be 1 or 7. However, since 3 took the first spot and 5 took the last spot, 7 would have to be in the middle since the clue says it's in the wrong place. If it was 1, it would say it's in the right space.

Answer:

x = 67°

Step-by-step explanation:

When two parallel lines are cut by a transversal, the pair of angles formed on the interior of the parallel lines but on the opposite sides of the transversal are called alternate interior angles and they are congruent.

          x = 67°

We are asked to determine a situation where stems and leaf plot display would not be the best.

Let's say that we need to measure the room temperature each hour in a given space during one day and our measuring device is unable to measure decimal temperature. Now let's imagine that the data that is produced is in the range between 30 and 35 degrees Celcius. For this data set, a stem and leaf display would not be the best because all the data has the same stem of 3 and we are not able to differentiate between the different values of temperature.

When a journal entry contains a debit to inventory, a corresponding credit to an offsetting account, such as Cost of Goods Sold (COGS), is required.

A journal entry that contains a debit to inventory requires a corresponding credit to an offsetting account, such as Cost of Goods Sold (COGS). The formula for the entry would be:

Debit Inventory

Credit Cost of Goods Sold (COGS)

The calculation would depend on the cost of the inventory, the quantity purchased and the applicable tax rate. For example, if the cost of the inventory is $5,000, the quantity purchased is 500 and the applicable tax rate is 5%, the journal entry would look like this:

Debit Inventory $5,000

Credit Cost of Goods Sold (COGS) $4,750 ($5,000 x 95% = $4,750)

In this example, the total cost of the inventory was $5,000, but the credit to COGS was calculated by multiplying the cost of the inventory ($5,000) by 95% (the applicable tax rate of 5% was subtracted). The resulting amount of $4,750 was the amount credited to COGS.

In summary, when a journal entry contains a debit to inventory, a corresponding credit to an offsetting account, such as Cost of Goods Sold (COGS), is required. The formula for the entry is: Debit Inventory, Credit Cost of Goods Sold (COGS). The calculation for the entry depends on the cost of the inventory, the quantity purchased and the applicable tax rate.

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Answer:

a

Step-by-step explanation:

the perimeter (P) of a square is the sum of the 4 congruent sides.

the area of a square is calculated as

area = s² ( s is the length of a side )

here area is 36 , then

s² = 36 ( take square root of both sides )

s = \(\sqrt{36}\) = 6

then

P = 4s = 4 × 6 = 24 cm

We are given:Distance covered by the fastest man in 9 seconds = 100m

To Find: The distance covered in 1 min 2 seconds or 62 seconds

Finding the Speed of the man:

We know that:

speed = distance covered / time taken

Speed = 100 / 9          (we are given that he travels 100 m in 9 seconds)

Speed = 11.11 m/s

Distance travelled in 62 seconds:

We know that:

distance covered = speed * time

replacing the value of speed and time

Distance = 11.11 * 62

Distance = 688.82 m

Answer:

19

Step-by-step explanation:

tan35=x/20

20tan35=x

x=14.0041507641942

x+5=19.0041507641942

The nearest foot is 19

Answer:

Step-by-step explanation:

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