what is the (gcf) of 18 and 72?

Answer:

Estimated=189

Exact=190.026

Step-by-step explanation:

Estimated values

20.7 to nearest whole number= 21

9.18 to nearest whole number= 9

Product means multiplication

Estimated product of 20.7 and 9.18

=21×9

=189

Exact product of 20.7 and 9.18

=20.7 × 9.18

=190.026

It has 3 decimal places

Answer:

The estimated product of 20.7 and 9.18, after rounding both factors to the nearest whole number,

is

✔ 189

.

The exact product of 20.7 and 9.18 has

✔ 3

decimal places.

Step-by-step explanation: Hope this helps(:

Let x be the full price of each Mighty Mare toy pony.

During the holiday sale, Pamela purchased each toy at $3 less than its full price. Therefore, the price she paid during the sale was:

x - $3

Since she bought 4 of these toys, her total cost during the sale was:

4(x - $3)

We also know that Pamela paid a total of $52 during the sale. Therefore, we can set up an equation:

4(x - $3) = $52

Simplifying this equation, we get:

4x - $12 = $52

Adding $12 to both sides, we get:

4x = $64

Dividing both sides by 4, we get:

x = $16

Therefore, each Mighty Mare toy pony costs $16 at full price.

Let's assume that the full price of each Mighty Mare toy pony is x dollars. Since Pamela purchased 4 Mighty Mare toy ponies, each at $3 less than its full price, the cost of each toy pony during the sale would be (x - 3) dollars.

To find the equation that represents this situation, we can set up the equation based on the given information:

4 * (x - 3) = 52

In this equation, 4 represents the number of Mighty Mare toy ponies purchased, (x - 3) represents the cost of each toy pony during the sale, and 52 represents the total amount paid by Pamela.

By solving this equation, we can determine the value of x, which represents the full price of each Mighty Mare toy pony.

Based on your question, it sounds like you are asking about random variables that have a joint probability density function (PDF) of 1/50 over a certain range of values.

In probability theory, a random variable is a variable whose value is determined by chance. It can take on a range of possible values, and the probabilities of each possible value occurring can be described using a probability distribution.

A joint probability density function is a function that describes the probabilities of two or more random variables taking on specific values simultaneously. In your case, you have two random variables that have a joint PDF of 1/50.

Without knowing the specific range of values over which the PDF is defined, it's hard to provide a more detailed answer. However, here are a few general observations about random variables and joint PDFs:

- Random variables can be either discrete or continuous. Discrete random variables take on specific, countable values (e.g. the number of heads in a series of coin tosses), while continuous random variables can take on any value within a certain range (e.g. the height of a randomly selected person).
- A joint PDF is typically used to describe the behavior of two or more continuous random variables. It gives the probability density at each point in the two-dimensional space defined by the values of the two variables.
- The total probability over the entire range of values for a joint PDF must sum to 1. This ensures that the probability of all possible outcomes occurring is equal to 1.

I hope this helps! If you have any further questions or clarifications, please let me know.
It seems that you are asking about random variables with a joint probability density function (pdf) of 1/50. Random variables are quantities that can take on different values according to some probability distribution. When two or more random variables are considered together, their relationship can be described using a joint pdf. In this case, the joint pdf is 1/50, indicating that the probability of a specific combination of these random variables is 1/50.

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Step-by-step explanation:

❀\( \underline{ \underline{ \text{Given}}} : \)

Then, Increment of the marks = 30 - 20 = 10

❀ \( \underline{ \underline{ \text{To \: find}}} : \)

❀ \( \underline{ \underline{ \text{Solution}}} : \)

\( \boxed{ \sf{Percentage \: of \: increment = \frac{Increase \: of \: marks}{Initial \: marks} \times 100\%}}\)

⇒ \( \sf{ \frac{10}{20} \times 100\%}\)

⇒ \( \boxed{ \sf{50 \: \%}}\)

\( \pink{ \boxed{ \boxed{ \bold{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{50\%}}}}}}}}\)

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

The number of trucks needed to incur minimum cost is 230, obtained by solving the derivative of the cost function.

To find the minimum cost, we differentiate the cost function with respect to the number of trucks, resulting in C'(x) = 23000 - 90x + 0.1x². By setting the derivative equal to zero and solving the resulting quadratic equation, we find two solutions: x = 900 and x = 230.

However, since negative truck quantities are not meaningful in this context, we discard the x = 900 solution.

Therefore, the minimum cost is incurred when 230 trucks are produced. Producing any fewer or greater number of trucks will result in higher costs, making 230 the optimal quantity for minimizing production expenses.


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Keith's unpaid balance is $178.62, finance charge is $2.6795 and new balance is $181.2995

To find Keith's unpaid balance, we need to find the difference between the previous balance and the payments made during the month.

Keith's previous balance was $200.

During the month, he charged $178.62, made a $200 payment.

So, Keith's unpaid balance is:

$200 (previous balance) - $200 (payment) + $178.62 (charges) = $178.62

To find Keith's finance charge, we need to multiply the unpaid balance by the monthly periodic rate (1.5% in this case).

Keith's finance charge is:

$178.62 (unpaid balance) * 0.015 (monthly periodic rate) = $2.6795

To find Keith's new balance, we need to add the finance charge to the unpaid balance.

Keith's new balance is:

$178.62 (unpaid balance) + $2.6795 (finance charge) = $181.2995

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Answer:

B

Step-by-step explanation:

I got it right on edge.

Answer: 212.81

C. Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place

Step-by-step explanation:

What is 212.809 rounded to the nearest hundredth?

When we want to round off 212.809 to the nearest hundredth, the main thing that we will need to consider is for us to look at the thousandths value that is contained in the number of 212.809, and this is is 9.

Since 9 is more than 5, iteams that we will have to add 1 to the number at the hundredth place. This.meane we will add 1 to 0 which will give us 1 and we them drop the digit in the thousandths place. Therefore,

212.809 = 212.81 to nearest hundredths

6 + 2 2 = 2 ( 3 + 11 )

60 + 25 = 5 ( 12 + 5 )

Answer:

Negative numbers

Step-by-step explanation:

Any negative number will have a value less than zero.

The long-term heating of the Earth's climate system can be referred to as global warming. This has been observed since before the industrial era and is the result of human activities, primarily the burning of fossil fuels.

A growing threat to crucial coastal ecosystems and the millions of people who live in coastal regions worldwide stems from the interaction between warming temperatures and melting ice sheets and glaciers.

When carbon dioxide and other air pollutants assemble in the atmosphere and absorb sunlight and solar radiation that have reflected off the surface of the earth, global warming results. The troposphere, the lowest level of the atmosphere, which rises from Earth's surface to a height of 6 to 11 miles, is where the phenomenon of rising average air temperatures close to the planet's surface over the past century or two primarily occurs. The majority of Earth's clouds are found in this layer, which is also where most living things, their habitats, and weather are found.

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The value of a/b is 3/2

In this question, we have been given two similar triangles.

We need to find the value of ratio a/b

We know that the corresponding sides of similar triangles are in proportion.

So, for given similar triangles,

a/21 = b/14

a = b/14  * 21

a/b = 21/14

a/b = 3/2

Therefore, the value of a/b is 3/2

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Answer:

64

Step-by-step explanation:

You'd put 64 in the box because the x is the original number (4). example: 4^3 = 64, ^3(insert the root sign) 64 = 4

sorry in advanced, I dont have the math signs to make the equations

Answer:

x = ³√64

Step-by-step explanation:

Given equation,

→ x³ = 64

Let's rearrange the equation,

→ x³ = 64

→ [ x = ³√64 ]

Thus, the answer is x = ³√64.

Answer: Move terms to the left side−52+3=−9−5x2+3x=−9−52+3−(−9)=0−

Common factor−52+3+9=0−5x2+3x+9=0−(52−3−9)=0

Divide both sides by the same factor−(52−3−9)=0−(5x2−3x−9)=052−3−9=0

Solution=3±321 over 10

Step-by-step explanation:

Answer: 1/3 as an equation

Step-by-step explanation: file attached

yd=

yd=

16x2+12x+18=3x=2x2+6x+9=3x=

sorry i try

Answer:

D

Step-by-step explanation:

Without knowing the size of the outer circle, it is impossible to determine the exact area of the shaded region. However, we can use the circumference of the inner circle (125.6 inches) to find its radius, and then use that to calculate the area of the shaded region as a fraction of the area of the outer circle.

The formula for the circumference of a circle is C = 2πr, where r is the radius. We can rearrange this formula to solve for r:

r = C/2π

Plugging in the given circumference of the inner circle, we get:

r = 125.6/2π
r ≈ 19.998 inches

Since both circles have the same center, we know that the radius of the outer circle must be at least 19.998 inches longer than the radius of the inner circle. Let's call the radius of the outer circle R. Then:

R = r + 19.998
R ≈ 39.996 inches

The area of a circle is given by the formula A = πr^2. So the area of the inner circle is:

A_inner = πr^2
A_inner ≈ 1256.64 square inches

And the area of the outer circle is:

A_outer = πR^2
A_outer ≈ 5023.27 square inches

The area of the shaded region is the difference between these two areas:

A_shaded = A_outer - A_inner
A_shaded ≈ 3766.63 square inches

So the area of the shaded region is approximately 3766.63 square inches, but this answer depends on the radius of the outer circle, which is not given in the problem.

Since Line V and Line W are parallel, they must have the same slope.

This gives us that the equation for Line W looks like: y = 8x + b

We need to find b and we use that point (-1,-2) to find it.  Substitute (-1,-2) into x and y and you can solve for b:

    -2 = 8(-1) + b

    -2 = -8 + b

    -2 + 8 = -8 + 8 + b

     6 = b

Now you have b (AKA the y-intercept).

The final equation is y = 8x + b.

In essence, a function is a rule that assigns to each value of the input set (also known as the domain), a unique value of the output set (also known as the range).

A function is a fundamental mathematical concept that is used to describe the relationship between two sets of values.

To understand the idea of a function, imagine a machine that takes in an input and produces an output. The input values are the domain of the function, and the output values are the range. A function can be represented as an equation, a graph, or a table. For example, the equation f(x) = x + 3 represents a function that takes in an input value x and produces an output value that is 3 greater than the input value.

One of the key features of a function is that each input value must have a unique output value. This means that if you input the same value into the function twice, you should get the same output value both times. In mathematical terms, we say that a function is well-defined if it has a unique output value for each input value.

Functions are used in a wide range of mathematical applications, from algebra and calculus to statistics and data analysis. They provide a powerful tool for describing and analyzing relationships between different sets of values.

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Answer:

1) C = 2pi(r)

2) 2(x-5) = 20 - x

A function P that represents the profit made from selling x bracelets is

The number of bracelets this company must sell to break even is equal to 15 bracelets.

In Mathematics, profit can be defined as a measure of the amount of money generated when the selling price is deducted from the cost price of a good or service, which is usually provided by producers.

Mathematically, the amount of profit made from selling x bracelets can be calculated by using the following function:

Profit made = Revenue earned – Cost of production

P(x) = R(x) - C(x)

P(x) = 20x - (180 + 8x)

P(x) = 20x - 180 - 8x

P(x) = 12x - 180

In order to break even, the number of bracelets that this company must sell would be calculated by equating the profit function to zero and solving for x as follows;

P(x) = 12x - 180

0 = 12x - 180

12x = 180

x = 180/12

x = 15 bracelets.

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The mathematical measure of standard deviation is essential for risk managers as it helps quantify the dispersion or variability of data, enabling them to assess and manage potential risks effectively.

Standard deviation is a statistical tool used to measure the amount of variation or dispersion in a set of data points. In the context of risk management, standard deviation provides a measure of how much an investment's returns deviate from its average return. This information is crucial for risk managers as it helps them assess the volatility and uncertainty associated with an investment or portfolio.

By analyzing the standard deviation, risk managers can gain insights into the potential risks and fluctuations in returns, allowing them to make informed decisions regarding asset allocation, risk tolerance, and hedging strategies. Furthermore, standard deviation enables risk managers to compare and evaluate different investments based on their level of risk, supporting the process of portfolio diversification and risk mitigation.

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Answer:

8 x 10 = 80

80 divided by 2 = 40

6 x 8 = 48

48 divided by 2 = 24

40 + 24 = 64 in2 is your answer.

Formula of a triangle:

B(base) x H(height) x 1/2(basically dividing by 2)

(a) The graph of the linear functions is as attached.

(b) The equation of the linear function in slope-intercept form is; y = x

(c) The equation of the transformed function in slope-intercept form is;

y = x + 2 and y = x - 3

Functions are defined as the relationship between sets of values. For example, in the function; y = f(x), for every value of x there exists a set of y values.

x is the independent variable.

y is the dependent variable.

If the linear function is; y = x,

The equation of the transformation in slope-intercept form is given as;

For translation of 2 units up, we have;

y = x + 2

For a translation of 3 units down, we have;

y = x - 3

Thus, the required graph has been attached and the solution is determined.

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The required, graph of both lines has been shown where the common solution is (0, 2).

I apologize for the error in my previous solution. Here's the corrected solution:

To solve the system of linear equations x + 2y = 4 and -2x + 5y = 10 graphically, we need to plot the graphs of the two equations on the same set of axes and find the point where they intersect.

The graph of both lines has been shown where the common solution is (0, 2).

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A rectangular prism has 6 faces, 8 vertices and 12 edges.

What is rectangular prism?

A rectangular prism is a three-dimensional shape, that has six faces (two at the top and bottom and four are lateral faces). All the faces of the prism are rectangular in shape. Hence, there are three pairs of identical faces here. Due to its shape, a rectangular prism is also called a cuboid. A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same.

If all the faces of the prism are squares then the rectangular prism is a cube. The volume of a rectangular prism is a measure of the space inside the prism.

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Answer:

x = 24

Step-by-step explanation:

Since all the angles share a common vertex 'U' lying on a straight line QT.

Therefore, sum of all angles formed at U will be equal to 180°.

m∠RUQ + m∠RUS + m∠SUT = 180°

(2x - 4) + (3x + 5) + (2x + 11) = 180°

(2x + 3x + 2x) + (5 - 4 + 11) = 180

7x + 12 = 180

7x = 180 - 12

x = \(\frac{168}{7}\)

x = 24

Therefore, value of x = 24

Answer:

3/6  of a cup for every cup of water.

Step-by-step explanation:

Answer: pretty sure its c

Step-by-step explanation: i might be wrong

Answer:

bro all equilateral triangle are equal

Step-by-step explanation:

In geometry, an equilateral triangle is a triangle that has all its sides equal in length. Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure. Therefore, it is also called an equiangular triangle, where each angle measure 60 degrees.

Answer:

1. True

2. False

3. False

4. True

Sep-by-step explanation:

Similarity:

 Two polygons of the same number of sides are similar if

  (i) their corresponding angles are equal and

(ii) their corresponding sides are in the same ratio.

  AAA similarity ,  SAS similarity , SSS similarity

1. True.

  Two polygons of the same number of sides are similar if their corresponding angles are equal. AAA similarity.

In an equilateral triangle each angle is 60°. So, all equilateral triangles are similar.

2. False.

 In each isosceles triangle, the  measurement of angles differs and so the shape wont be same.

3. False.

  In each right angle triangles, the other two angles differs and so, all right triangles will not have the same shape.

4. True.

   All circles have same shape and the only the size of the circle vary. So, all circles are similar.