what are threes points that are collinear

Answer:

Step-by-step explanation:

To solve an algebraic expression in simplest form, you can follow these steps:

1. Use the order of operations (PEMDAS) to simplify any arithmetic in the expression (parentheses, exponents, multiplication and division, addition and subtraction).

2. Combine like terms by adding or subtracting any coefficients in front of similar variables.

3. Divide or multiply both sides of the equation by the same non-zero number to solve for the variable.

4. If possible, factor the expression to make it simpler.

5. If the expression is a fraction, check for a common denominator and then simplify by canceling any common factors in the numerator and denominator.

6. If the expression is a radical, check for a perfect square and simplify by taking the square root of the number inside the radical.

7. Use the properties of exponents and logarithms to simplify the expression.

8. Evaluate the expression by plugging in the values of any known variables.

It's important to keep in mind that there may be multiple ways to simplify an algebraic expression and the solution that is in simplest form may not always be obvious.

The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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The value x in quadrilateral is 25.71.

We are given that;

The adjacent angles= (4x-4) and (3x+2)

Now,

If a polygon is four sided (a quadrilateral), the sum of its angles is 360°

The two adjacent angles are supplementary, meaning that they add up to 180 degrees. This is because in a quadrilateral, the sum of any two adjacent angles is 180 degrees.

Write an equation using this property and the given expressions for the angles. The equation is: (4x−4)+(3x+2)=180

The equation by combining like terms and subtracting 2 from both sides. The equation becomes: 7x−2=178

Solve for x by adding 2 to both sides and dividing by 7. The equation becomes: x=7180​

Therefore, by quadrilateral the answer will be 25.71

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The complete question is;

The sum of the measures of the angles of a quadrilateral is 360

degree Two adjacent angles of quadrilateral are (4x-4) and (3x+2). find x

Answer:

D. Tyler use distributive property.

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

9 - (-10) = ?

To do this, we need to use the additive inverse and the method of K(eep)F(lip)C(hange)

So, the problem becomes: 9 + 10 = ?

Do the math, and you get your answer of 19.

Answer:

It's hard to read, but I think it is B

Step-by-step explanation:

Apples    Bananas     Lemons    Oranges     Pears

  6               2                10                8              4

Apples 6/30 = 1/5

Bananas 2/30=1/15

Lemons  10/30 = 1/3

Oranges 8/30 = 4/15

Pears       4/30 = 2/15

The required probability of occupying seats at the end of the row by April and Bobby is equals to 0.0333.

We have,

Number of chairs in a row =  5

April and Bobby need to occupy the two end chairs.

The other two people, Bill and Candace, can sit in any of the 3 remaining chairs.

The total number of ways to seat the 4 people in the 5 chairs is

= 5!/(5-4)!

= 5x4x3x2

= 120.

April can sit in either of the two end chairs, and then Bobby can sit in the other end chair.

Bill and Candace can then sit in either of the two remaining chairs, in either order.

The number of ways to seat April and Bobby at the ends of the row is,

=  2x1x2x1

= 4.

Probability that April and Bobby will occupy the seats at the end of the row is,

4/120

= 1/30

= 0.0333

Therefore, the probability of April and Bobby occupy seats at the end of the row is 1/30 or approximately 0.0333.

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They should use 6 cup of Noah's measuring cup

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Calculating the number of cup the should use:

Number of cup = Recipe call / Noah's cup

Number of cup = (3/4) / (1/8)

Number of cup = 3*8 / 4*1

Number of cup = 24/4

Number of cup = 6

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Correctly written question:

Melanie and Noah are baking a birthday cake for Francesca. The recipe call for 3/4 measuring cup and Noah has a 1/8 measuring cup. Which cup should they use?

Answer:

\(a=-4.47\ m/s^2\)

Step-by-step explanation:

Given that,

Initial speed of a car, u = 60 mph = 26.82 m/s

Final speed of a car, v = 10 mph = 4.47 m/s

Time, t = 5 s

We need to find the acceleration of the car. The rate of change of velocity is called the acceleration of an object. It can be given by :

\(a=\dfrac{v-u}{t}\\\\a=\dfrac{4.47 -26.82 }{5}\\\\a=-4.47\ m/s^2\)

So, the acceleration of the car is \(4.47\ m/s^2\) and it is deaccelerating.

ADD YOUR ANSWER or three months, Mr. Hall's class held a fun fair to raise money for charities. The funds raised are shown in the table. The owners of the grocery store and pizza restaurant said they would each donate the same amount raised at the fun fairs. How much will be donated to charities in all? ​

Question

For three months, Mr. Hall's class held a fun fair to raise money for charities. The funds raised are shown in the table. The owners of the grocery store and pizza restaurant said they would each donate the same amount raised at the fun fairs. How much will be donated to charities in all? ​

Answer:

x(12x^2+18x)

Step-by-step explanation:

x(12x^2+18x)=12x^(3)+18x^2

The expression that is equivalent to √-12 is √12i

In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation\(i^{2}=-1}\) every complex number can be expressed in the forma + bi, where a and b are real numbers.

Given here,  √-12= √12×√-1

                            = √12i

Hence, The expression that is equivalent to √-12 is √12i

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Answer:

D. 1/2 ≈ 0.083

Step-by-step explanation:

So for the coin there is a 1/2 chance because there are two sides, and only one will be "right." For the side-sided dice, there is a 1/6 chance using the same thinking as the coin.

We can multiply them by each other,

1/2 * 1/6 = 1/12

So the correct answer is D. 1/2 *about* 0.083

I hope this helps, have a nice day! :D

The robot moves in the positive direction along a straight line so that after t minutes its distance is s=6t^4 feet from the origin. (a) Find the average velocity of the robot over intervals 2, 4. We have the following data: Initial time, t₁ = 2 min.

Final time, t₂ = 4 min.The distance from the origin is given by s = 6t^4Therefore, s₁ = s(2) = 6(2^4) = 6(16) = 96 feet s₂ = s(4) = 6(4^4) = 6(256) = 1536 feet

We can find the average velocity of the robot over the interval 2, 4 as follows: Average velocity = (s₂ - s₁) / (t₂ - t₁)Average velocity = (1536 - 96) / (4 - 2)Average velocity = 1440 / 2Average velocity = 720 feet per minute(b) Find the instantaneous velocity at t=2.To find the instantaneous velocity at t = 2 min, we need to take the derivative of the distance function with respect to time. We have the distance function as:s = 6t^4 Taking derivative of s with respect to t gives the velocity function:v = ds / dt Therefore,v = 24t³At t = 2, the instantaneous velocity is:v(2) = 24(2)³v(2) = 24(8)v(2) = 192 feet per minute Therefore, the instantaneous velocity at t = 2 min is 192 feet per minute.

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The reflection across the x-axis will have the coordinates (x, -y).

         The x-axis and y-axis are found in graphs, and both have positive and negative ends. The horizontal axis is called the x-axis, and the vertical axis is called the y-axis.

         The x-axis has positive integers on its right and negative integers on its left. The y-axis has positive integers above the zero coordinate and negative integers below the zero coordinate.

         If we take a point on the upper side of the x-axis, its coordinates will be (x, y). While drawing its reflection on the x-axis, we need to draw the point on the vertically opposite plain. Thus, the coordinates of the reflection will be (x, -y).

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The area of the parallelogram-FR cannot be calculated based on the length of the base or the height of the parallelogram.

The length of the base or the height of the parallelogram, it is not possible to calculate the area of the parallelogram-FR.

In general, the area of a parallelogram is given by the formula:

Area = base x height

The length of the base and the height, you can simply multiply them together to find the area of the parallelogram.

Without this information it is impossible to calculate the area.

The area of a parallelogram can also be found using the cross product of two adjacent sides or by using trigonometry if the angles and side lengths are known.

These methods require additional information about the parallelogram that is not provided in the given question.

The area of the parallelogram-FR cannot be calculated based on the length of the base or the height of the parallelogram.

The formula: gives the area of a parallelogram in general.

Area equals base x height

Any parallelogram side can serve as the base, and the height is determined by measuring the angle between the base and the opposing side.

You can easily multiply the height and base length together to determine the parallelogram's area.

It is difficult to compute the area without this information.

The cross product of two adjacent sides or trigonometry, assuming the angles and side lengths are known, may also be used to calculate the area of a parallelogram.

The base can be any side of the parallelogram and the height is the perpendicular distance between the base and the opposite side.

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a) The relationship between b and c is that c cannot be zero.

b) b can be any nonzero constant and c is equal to 2.5 in this case.

In two dimensions, the compatibility equations for strain are,0

∂εx/∂y + ∂γxy/∂x = 0

∂εy/∂x + ∂γxy/∂y = 0

where εx and εy are the normal strains in the x and y directions, respectively, and γxy is the shear strain.

Using the given strain field, we can calculate the strains,

εx = -4.5cx² + 10.5cy

εy = 1.5cx² - 7.5cy²

γxy = 1.5bxy

Taking partial derivatives and plugging them into the compatibility equations, we get,

⇒ -9cx + 0 = 0

⇒ 0 + (-15cy) = 0

These equations must be satisfied for the strain field to be compatible. From the first equation,

We get cx = 0, which means c cannot be zero.

From the second equation, we get cy = 0,

Which means b can be any nonzero constant.

For part b:

We are asked to find the displacements u and v corresponding to the given strain field at points (3, 7), assuming they are zero at point (0, 0) and using c = 2.5.

To find the displacement components,

We need to integrate the strains with respect to x and y. We get,

u = ∫∫εx dx dy = ∫(10.5cy) dy = 5.25cy²

v = ∫∫εy dx dy = ∫(1.5cx² ) dx - ∫(7.5cy²) dy = 0.5cx³ - 2.5cy³

Plugging in the values of c and b, we get,

u = 5.25(2.5)(7)²  = 767.62

v = 0.5(2.5)(3)³ - 2.5(7)³ = -8583.75

Therefore,

The displacements at points (3, 7) are u = 767.62 and v = -8583.75.

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Answer:

18

Step-by-step explanation:

This question is essentially asking what the greatest common factor of 72 and 90 is. The prime factorization of 72 is:

\(2^3\cdot 3^2\)

For 90:

\(2\cdot 5\cdot 3^2\)

Therefore, the greatest common factor is \(2\cdot 3^2=2\cdot 9=18\). Hope this helps!

The measure of <A = 53 degrees

To determine the measure of the angle, we need to know the following;

From the information given, we have that;

AB is a diameter of circle O.

Bute m<B = 37 degrees

Then, we can say that;

<A + <B + <C = 180

<A + 90 + 37 = 180

collect the like terms, we have;

<A = 53 degrees

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I think the answer is 30x+330>50x

Step-by-step explanation:

for the option A it was slightly changed,

cause the $30 was deposited by helen not Vince.

so check that well

The dissociation curve is a graphical representation of the relationship between the fractional saturation of hemoglobin (Y-axis) and the partial pressure of oxygen (X-axis) under specific conditions. It provides important information about the binding and release of oxygen by hemoglobin.

The dissociation curve for hemoglobin exhibits a sigmoidal (S-shaped) shape. At low partial pressures of oxygen, such as in tissues, hemoglobin has a low affinity for oxygen and only binds a small amount. As the partial pressure of oxygen increases, hemoglobin's affinity for oxygen increases, resulting in a rapid increase in the binding of oxygen molecules. However, once the hemoglobin becomes nearly saturated with oxygen, the curve levels off, indicating that further increases in partial pressure have minimal effects on oxygen binding.

To calculate the fractional saturation of hemoglobin at a given partial pressure of oxygen, you can use the Hill equation:

Y = [O2]^n / ([O2]^n + P50^n)

Where:

Y is the fractional saturation of hemoglobin,

[O2] is the partial pressure of oxygen,

P50 is the partial pressure of oxygen at which hemoglobin is 50% saturated,

n is the Hill coefficient, which represents the cooperativity of oxygen binding.

To determine the P50 value experimentally, the partial pressure of oxygen at which hemoglobin is 50% saturated, you can plot the dissociation curve and identify the point where the curve reaches 50% saturation.

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Answer:

\(150-(65+20x)\)

Step-by-step explanation:

So we know that Amy sets aside a total of $150 to pay her bills.

The cost for the monthly cell phone plan is a $65 access fee plus $20 per gigabyte of data used.

In other words, the total cost when using x gigabytes is given by the expression:

\(65+20x\)

The first term represents the access fee, and the second term represents the cost for x gigabytes.

And since we want to find out the amount of money Amy will have left after using x gigabytes, we subtract this from 150:

\(150-(65+20x)\)

The above expression will give us the amount of money Amy will have left after paying her cell phone plan.

Our answer is the second choice.

Answer:

The answer is below

Step-by-step explanation:

Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $19 monthly fee and charges an additional $0.13 for each minute of calls. The second plan has a $24 monthly fee and charges an additional $0.08 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal

Answer: Let the number of minutes of calls that will cost the two plans to be equal be x. The first plan has a $19 monthly fee and charges an additional $0.13 for each minute of calls, therefore the total cost in x minutes = $19 + $0.13x

The second plan has a $24 monthly fee and charges an additional $0.08 for each minute of calls, therefore the total cost in x minutes = $24 + $0.08x

For the two plans to be equal, the cost of the first plan should be equal to the cost of the second plan. i.e.:

$19 + $0.13x =  $24 + $0.08x

Solving for x:

\($19 + $0.13x = $24 + $0.08x\\0.13-0.08=24-19\\0.05x=5\\x=5/0.05=100\\x=100\ minutes\)

It would take 100 minutes of calls for the costs of the two plans to be equal

Area Principle. In a statistical display, each data value should be represented by the same amount of area. Bar chart (Relative Frequency Bar Chart)

Using rectangular bars with heights or lengths proportional to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. A column chart is another name for a vertical bar graph.

Using rectangular bars with heights or lengths proportional to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. A column chart is another name for a vertical bar graph.

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Based on the monthly data on the price of bitcoin, the average monthly growth rate can be calculated by taking the difference in price from the previous month and dividing it by the previous month's price. Using the average monthly growth rate, you can estimate the future value of your $1,000 Bitcoin investment.

Once this is done for each month, the resulting growth rates can be averaged to find the average monthly growth rate. As for the standard deviation of the monthly growth observations, this can be calculated using a statistical software or a calculator that has the capability to perform statistical calculations. Without the actual data, it is not possible to provide an exact answer to the question. However, it is important to note that investing in bitcoin can be volatile and unpredictable, so it is important to do thorough research and understand the potential risks before making any investment decisions. To estimate the average monthly growth rate and standard deviation of your Bitcoin investment, follow these steps:
1. Compile the monthly price data for Bitcoin.
2. Calculate the monthly growth rate for each month by using the formula: (Current Month Price - Previous Month Price) / Previous Month Price.
3. Add up all the monthly growth rates and divide the sum by the number of months in your data sample. This will give you the average monthly growth rate for Bitcoin.
4. To calculate the standard deviation, first find the variance. Subtract the average monthly growth rate from each individual growth rate, square the result, and find the average of these squared differences.
5. Finally, take the square root of the variance to get the standard deviation.

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