PLEASE HELP ILL GIVE WHATEVER!!!
Choose the correct simplification of the expression (12x2y3z4)(3x9y6z8).
36x18y18z32
15x18y18z32
36x11y9z12
15x11y9z12

Final answer:

To cover a cylindrical candle with a height of 10 inches and diameter of 1.5 inches, Khalil would need at least 50.635 square inches of wrapping paper, calculated by adding the lateral surface area and the areas of the top and bottom circles.

Explanation:

Khalil needs to calculate the amount of wrapping paper to cover a cylindrical candle. To find the surface area needed to wrap around the sides of the candle, we'll use the formula for the lateral surface area of a cylinder, which is Area (A) = 2πrL, where 'r' is the radius and 'L' is the height of the cylinder. Given that the candle is 10 inches tall and has a diameter of 1.5 inches, we calculate as follows:

To calculate the area needed to cover the top and bottom of the candle, we use the formula for the area of a circle, which is Area (A) = πr². The candle has two circular ends.

Adding the side area and the areas of the ends, the total wrapping paper needed is 47.1 square inches + 3.535 square inches = 50.635 square inches. Khalil should therefore use at least 50.635 square inches of wrapping paper to fully cover the cylindrical candle.

The correct option is B. 81 mm, 7 mm, 72 mm could be the lengths of the sides of a triangle.

To determine if a set of numbers could be the lengths of the sides of a triangle, the Triangle Inequality Theorem must be satisfied. The theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Let's apply this theorem to each set of numbers:

A. 81 mm, 7 mm, 6 mm

- The sum of the two smallest sides is 81 + 6 = 87 mm, which is greater than the third side, 7 mm. However, the sum of the two smallest sides, 7 + 6 = 13 mm, is not greater than the largest side, 81 mm. Therefore, these lengths cannot form a triangle.

B. 81 mm, 7 mm, 72 mm

- The sum of the two smallest sides is 7 + 72 = 79 mm, which is greater than the third side, 81 mm. This set satisfies the Triangle Inequality Theorem.

C. 81 mm, 7 mm, 88 mm

- The sum of the two smallest sides is 81 + 7 = 88 mm, which is equal to the third side, 88 mm. According to the Triangle Inequality Theorem, the sum must be strictly greater than the third side, so these lengths cannot form a triangle.

D. 81 mm, 7 mm, 77 mm

- The sum of the two smallest sides is 7 + 77 = 84 mm, which is greater than the third side, 81 mm. However, the sum of the two smallest sides, 81 + 7 = 88 mm, is not greater than the third side, 77 mm. Therefore, these lengths cannot form a triangle.

Based on the Triangle Inequality Theorem, the only set of lengths that can form a triangle is option B: 81 mm, 7 mm, 72 mm.

Answer:

30 bags

Step-by-step explanation:

Nc + Nd = 50

5Nc + 3Nd = 190

Multiply by -5 becomes:

-5Nc - 5Nd = -250

5Nc + 3Nd = 190

Equals:

-2Nd= -60

simplify:

-2Nd/-2 and -60/-2 = Nd= 30 bags

The required Kristin bought 2 fancy shirts and 5 plain shirts.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Let's assume that Kristin bought x fancy shirts and y plain shirts. We know that the total number of shirts is 7, so:

x + y = 7

We also know that the total cost of the shirts is $131, that fancy shirts cost $28 and plain shirts cost $15. So we can write another equation:

28x + 15y = 131

Now we have two equations with two variables. We can use substitution or elimination to solve for x and y. Let's use substitution:

x + y = 7 -> x = 7 - y (subtract y from both sides)

28x + 15y = 131 -> 28(7-y) + 15y = 131 (substitute x with 7-y)

Expanding the brackets, we get:

196 - 28y + 15y = 131

-13y = -65

y = 5

So Kristin bought 5 plain shirts. We can substitute this value into either equation to find x:

x + y = 7 -> x + 5 = 7 -> x = 2

So Kristin bought 2 fancy shirts and 5 plain shirts.

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Answer:

The correct answer is C. Borrowing $10,000 more in students loans.

Option C - Borrowing $10,000 more in student loans is the correct Alternative.

We have list of assets and liabilities.

We have to determine which of given modification would  result in negative net worth.

Assets are the items your company owns that can provide future economic benefit. Liabilities are what you owe other parties.

According to the question -

Assets = House + Car + Stocks + Savings.

Total Assets = $90,000 + $11,000 + $2,500 +  $3,000 = $106500

Liabilities = Mortgage + Car loan + Student loan.

Total Liabilities = $78,000 +  $5,000 + $13,700 = $96700

Now if you borrow $10000 more in student loan then -

Total Liabilities = $78,000 +  $5,000 + $13,700 + $10000 = $96700 + $10000 = 1,06,700 > Assets.

Hence, Option C is the correct Alternative.

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The least number of rows she can make is when she puts N marbles in each row, such that N is the greatest common factor between 150 and 360.

To find the greatest common factor between 150 and 360 we can write them as the product of prime numbers.

150 = 15*10 = (3*5)*(2*5)

360 = 36*10 = (6*6)*(2*5) = (2*3*2*3)*(2*5)

greatest common factor between 150 and 360 is the product of these 3 factors:

GCF = 2*3*5 = 30

this means that we need to make rows with 30 marbles each.

150/30 = 5 rows of red marbles

360/30 = 12 rows of pink marbles.

A total of 5 + 12 = 17 rows.

The equation that represents each mixed number as a sum of whole numbers and unit fractions of [tex]4\frac{1}{4}[/tex] is  [tex]4\frac{1}{4}[/tex] = 4 + 1/4.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

We have the mixed fraction,

[tex]4\frac{1}{4}[/tex].

Converting the mixed fraction to an improper fraction,

[tex]4\frac{1}{4}[/tex] = 17/4

We need to write it as a sum of whole numbers and unit fractions:

So, it becomes,

[tex]4\frac{1}{4}[/tex] = 4 + 1/4

[tex]4\frac{1}{4}[/tex] = (16 + 1)/4

[tex]4\frac{1}{4}[/tex] = 17/4

Therefore, [tex]4\frac{1}{4}[/tex] = 4 + 1/4 is the required equation.

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To find the length of the model car, set up a proportion and cross multiply.

To find the length of the model car, we need to use the scale factor given. The scale factor is 1.5 inches:3 feet. This means that for every 1.5 inches in the model, there are 3 feet in the actual car.

Given that the actual car is 13.75 feet long, we can set up a proportion:

1.5 inches / 3 feet = X inches / 13.75 feet

Cross multiplying, we get:

1.5 inches * 13.75 feet = 3 feet * X inches

Simplifying, we find that the length of the model car is approximately 6.88 inches.

The probability that a randomly chosen student is a girl is 56%, calculated by subtracting the probability of a boy (44%) from 100%.

The question asks us to find the probability that a student selected at random is a girl, given that the probability of selecting a boy is 44%. Since the question does not provide information about any other genders, we can imply that all remaining students are girls.

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1, or 0% and 100%. So, if the probability of selecting a boy is 44% or 0.44, then the probability of selecting a girl would be the remaining percentage or fraction to reach 100% or 1.

This is calculated by subtracting the probability of selecting a boy from 1 or 100%, so 1 - 0.44 = 0.56 or 100% - 44% = 56%.

Therefore, the probability that a student selected at random is a girl is 56% or 0.56.

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The radius of the penny is 9.54 millimeters.

The circumference means the length of the literal line that surrounds and forms a circle.

The formula for the circumference of the circle is given by

[tex]circumference = 2\pi r[/tex]

Where,

r is the radius

and π = 3.14

A radius is a straight line from the center of a circle to the circumference of a circle.

According to the given question.

We have a penny whose circumference is 59.69 millimeters.

Let r be the radius of the penny and 2πr be the circumference of the penny.

Since we know that, the shape of the penny is circular.

Therefore,

The radius, r of the penny is given by

[tex]2\pi r= 59.69[/tex]

[tex]\implies r = \frac{59.69}{2\pi }[/tex]

[tex]\implies r = \frac{59.69}{2(3.14)}[/tex]

[tex]\implies r = \frac{59.69}{6.28}[/tex]

[tex]\implies r = 9.54\ millimeters[/tex]

Hence, the radius of the penny is 9.54 millimeters.

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A line plot has been created based on the number of pages Consuela read each night over a week, showing the data without any outliers. Values range from 7 to 11 pages, with no significant deviations that would classify as outliers.

To create a line plot of the number of pages Consuela read each night, you would place a horizontal axis labeled with numbers representing the number of pages read, e.g., 7, 8, 10, and 11. Above each number, you would put a dot for each night that she read that number of pages. For example, she read 8 pages 3 times across the week, so above the number 8 on the line plot, you would place three dots.

Line Plot Creation and Outliers

The line plot for Consuela's reading log:

7 pages: 1 dot (Thursday)

8 pages: 3 dots (Monday, Friday, Saturday)

10 pages: 2 dots (Wednesday, Sunday)

11 pages: 1 dot (Tuesday)

To determine if there are any outliers in the data, we have to look for any dots that are not close to the other dots. An outlier is typically a data point that is significantly higher or lower than the rest of the data. In the case of Consuela’s reading log, the values are all quite close to each other, with the range being from 7 to 11 pages. There doesn't appear to be a value significantly different from the others; therefore, there are no outliers.

the ship would travel approximately 9685.82 miles from Iceland to Antarctica.

To convert the angle from degrees to radians, we use the conversion factor[tex]\( \pi \)[/tex]radians = 180 degrees.

[tex]\[ \text{Angle in radians} = \frac{\text{Angle in degrees} \times \pi}{180} \][/tex]

In this case, the angle in degrees is 140 degrees:

[tex]\[ \text{Angle in radians} = \frac{140 \times \pi}{180} \]\[ \text{Angle in radians} = \frac{140}{180} \times \pi \]\[ \text{Angle in radians} = \frac{7}{9} \pi \][/tex]

Next, we'll find how far the ship would travel using Earth's radius. The distance traveled on a circle is given by the formula:

[tex]\[ \text{Distance} = \text{radius} \times \text{angle in radians} \][/tex]

Given Earth's radius as 3960 miles and the angle in radians as [tex]\( \frac{7}{9} \pi \)[/tex], we can calculate the distance:

[tex]\[ \text{Distance} = 3960 \times \frac{7}{9} \pi \]\[ \text{Distance} = 3080 \pi \]\[ \text{Distance} \approx 9685.82 \text{ miles} \][/tex]

So, the ship would travel approximately 9685.82 miles from Iceland to Antarctica.

Therefore, an organic cleaner is not as effective as a non-organic cleaner in killing germs that cause colds and the flu.