Classify the triangle with the following angle measure: 20^, 50^, 110^

Answer:

y=2/3x+4

Step-by-step explanation:

First Step: Calculate the mean of the values in X and Y

Second step: we have to find the sum of Squares and sum of products

Third step: find the linear equation

The circumference of the circle is

205 air conditioners must be produced and sold to have a yearly profit of $45,000.

As per the relation representing p and x, x is the number of air conditioners so p must be the profit. Keep the value of profit to find the value of x.

45000 = x² + 15x - 100

Shifting 100 to Left Hand Side of the equation

45000 + 100 = x² + 15x

Performing addition on Left Hand Side of the equation

45100 = x² + 15x

Rearranging the equation

x² + 15x - 45100 = 0

Factorising the equation to find the value of x

x² + 220x - 205x - 45100 = 0

x(x + 220) -205 (x + 220) = 0

(x - 205) (x + 220) = 0

x = 205, - 220

The number of air conditioners produced and sold can not be negative. So, the value of x and hence the number of air conditioners is 205.

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Answer: The answer is -1

The point of intersection is a point where the value of both functions will be the same thus the point of intersection of the lines y = −10x − 3 and −y = 11x + 5 is at (-2,17).

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given lines,

y = −10x − 3

−y = 11x + 5 → y = -11x - 5

The value of the function at the point of intersection is always the same.

So,

−10x − 3 = -11x - 5

-10x + 11x = -5 + 3

x = -2

So,y = -10(-2) - 3 = 17

Hence "The point of intersection is a point where the value of both functions will be the same thus the point of intersection of the lines y = −10x − 3 and −y = 11x + 5 is at (-2,17)".

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Answer:

62

Step-by-step explanation:

x + 87 and 2x are linear pair angles.

Sum of linear pair angles is 180,

x + 87 + 2x = 180

x + 2x + 87 = 180

3x + 87 = 180

3x = 180 - 87

3x = 93

x = 93 / 3

x = 31

2x

= 2 * 31

= 62

Clearly, we can see that x+2 is a factor of the given polynomial.

If two shapes are similar to each other, they have the same shape, but not necessarily the same size.

All circles are similar to each other. All points on the circumference of any circle are equidistant from its center.

The ratio of the radii of the pair of circles will give the scale factor.

The correct option is the SECOND OPTION.

The time taken to screen-print a batch of 14 shirts are 42 minutes

In the above question, it is given that,

Lizz does screen-printing and she screen-prints a batch of T-shirts

The time taken in initial set-up to screen print the first t-shirt is = 15 minutes

After that,

The time taken in screen printing further t-shirts of the batch is = 3 minutes

We need to find the time taken to screen-print a batch of 14 shirts = 3 x 14 = 42 minutes

Hence, the time taken to screen-print a batch of 14 shirts are 42 minutes

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EXPLANATION

Since the line segment is 7 units long, we can apply the following relationship:

(x_1+ 7 , y_1) = (x_2 , y_2)

The coordinate of the endpoint is as follows:

We can get to this point by applying the distance formula as follows:

Applying the square power to both sides:

Subtracting numbers:

Now, if the x_2 coordinate is -3, the value of y_2 will be as follows:

Subtracting -4 to both sides:

Applying the square root to both sides:

Adding +4 to both sides:

In conclusion, the equation to get the coordinate from a given point is,

The value for a number that is 1000 more than 3,872 will be 4,872

In the given question, it is stated that we have to find out the value of the expression given. The expression states that we have to find out a number that is 1000 more than 3872.

This can easily be done. To find out the value for a number that is 1000 greater than 3872, we just need to add the value to the number i.e. we need to add 1000 to 3872. Let the new number be 'x'.

So, by solving this condition, we get

=> x = 3872 + 1000

=> x = 4872

Here we get x = 4872.

Hence, 1000 more than 3,872 will be 4,872.

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The value for the A³ matrix will be [tex]A^{3} = \left[\begin{array}{ccc}75&0 \\0&1\end{array}\right][/tex]

In the given question, it is stated that A is a given matrix. We have to find out the values of A³. This can be done by product of A*A*A. The product should follow the properties of the Matrix. First, we will find out the value of A². So calculating, we get:

=> [tex]A^{2} = \left[\begin{array}{ccc}-5&-1\\0&1\end{array}\right] * \left[\begin{array}{ccc}-5&-1\\0&1\end{array}\right][/tex]

=> [tex]A^{2} = \left[\begin{array}{ccc}-25+0 &1 -1\\0+0&0 + 1\end{array}\right][/tex]

=> [tex]A^{2} = \left[\begin{array}{ccc}-25 &0\\0&1\end{array}\right][/tex]

Now we will calculate the value of A³. We can calculate the value of A³ by using the values of A² because we know that A³ = A².A. So, after calculating we get:

=> [tex]A^{3} = \left[\begin{array}{ccc}-25&0\\0&1\end{array}\right] * \left[\begin{array}{ccc}-5&-1\\0&1\end{array}\right][/tex]

=> [tex]A^{3} = \left[\begin{array}{ccc}75+0&0 + 0\\0+0&0+1\end{array}\right][/tex]

=> [tex]A^{3} = \left[\begin{array}{ccc}75&0 \\0&1\end{array}\right][/tex]

Hence we get value for [tex]A^{3} = \left[\begin{array}{ccc}75&0 \\0&1\end{array}\right][/tex]

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Replace the variable in an equation with to write it in function notation. In function notation, the equation would be stated as follows: f (x) = x + 30000, where is the mileage displayed on the odometer.

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To do this, this equation must be taken to the form

So,

Then a positive slope of 2/5 tells you that for every 2 units on the y-axis there are 5 units on the x-axis. And 3 tells you that the line intercepts the y-axis at 3.

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ - 32 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies {\Large \begin{array}{llll} y-\stackrel{y_1}{1}=\stackrel{m}{- 32}(x-\stackrel{x_1}{2}) \end{array}}[/tex]

The quotient when [tex]3x^{3} -15x-13[/tex] is divided by (x+2) using the synthetic division is ([tex]3x^{2} -6x-3[/tex]) and remainder is -7.

According to the question,

We have the following expressions:

[tex]3x^{3} -15x-13[/tex] is divided by (x+2)

First, we  will look at some of the rules of the synthetic division:

We have to make the quotient in such a way that it is same as the term with the highest power in the dividend.

We change signs after solving using one complete term of the quotient.

We have to solve this using the synthetic division method:

x+2 )[tex]3x^{3} -15x-13[/tex]( [tex]3x^{2} -6x-3[/tex]

       [tex]3x^{3} +6x^{2}[/tex]

      _-___-_____

              [tex]-6x^{2} -15x-13[/tex]

              [tex]-6x^{2} -12x[/tex]

             +         +

                _________

                          -3x-13

                          -3x-6

                          +   +

                        _______

                              -7

Hence, the quotient when [tex]3x^{3} -15x-13[/tex] is divided by (x+2) using the synthetic division is ([tex]3x^{2} -6x-3[/tex]) and remainder is -7.

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We have the following:

Therefore:

3x+6=4x+7 //// = //// 3x-1=4x

3(x+6)=4x+7 //// = //// 3x+18=4x+7

4x+3x=7-6 //// = //// 7x=1

Answer:

-1.12 or -28?/25 or -1 3/25

Step-by-step explanation:

Answer:

the value of x is 32 degree

Step-by-step explanation:

100 + 68 +x = 180

168 +x=180

x= 180- 168

x= 32 degree

The amount of tax owed is  $ 6,960.

It is given in the question that:-

Vacant land value = $ 24,000

Tax percentage = 18 %

Tax per hundred dollars = $ 11

We have to find the tax owed.

Tax = (18/100)*24000 = $ 4,320

Tax per hundred for $ 24000 land = 11*(24000/100) = $ 2,640

Hence, total tax owed = $ 4,320 +  $ 2,640 = $ 6,960

Percentage

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

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A pancakes require 3.5 cups of milk and 1 cup of flour, or a ratio of 3.5:1 or a fraction of

(3.5) / (1)

If you have 4.6 cups of milk you need x cups of flour

Set up a ratio of

The given situation represents a random sample because, in statistics, a simple random sampling refers to the subset of individuals chosen from a larger set called population, where the sample is chosen randomly.

In this case, the dialed number are a random event, so it can be called a simple random sample.

The most appropriate choice for maxima and minima of a function will be given by

Rectangle of length 72 feet and breadth 36 feet has largest area

What is maxima and minima?

Maxima of function f(x) is the maximum value of the function and minima of function f(x) is the minimum value of the function.

Here,

Let the length be x feet and breadth be y feet

The farmer has 144 feet of fencing

Three of the sides will require fencing and the fourth wall already exists.

So,

x + y + y =1 44

x + 2y = 144

Area of rectangle(A) = xy [tex]ft^2[/tex]

                               = (144 - 2y)y

                               = [tex]144y - 2y^2[/tex]

[tex]\frac{dA}{dy} = \frac{d}{dy}(144y - 2y^2)[/tex]

     = [tex]144 - 2\times 2y^{2-1}\\144 - 4y[/tex]

For largest area,

[tex]\frac{dA}{dy} = 0[/tex]

[tex]144 - 4y = 0 \\4y = 144\\y = \frac{144}{4}\\y = 36[/tex]

[tex]\frac{d^2A}{dy^2} = \frac{d}{dy}(144 - 4y)\\=0-4\\=-4 < 0[/tex]

Hence area is maximum

For largest area, y = 36 feet

[tex]x = 144 - 2\times 36\\x = 144-72\\[/tex]

[tex]x = 72[/tex] feet

So length of rectangle is 72 feet, breadth of rectangle is 36 feet

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The linear regression equation is y = 15430.5034 + 301.2586x .

The algebraic technique for resolving multiple linear equations at once is called the substitution method. As the name implies, this method involves substituting a variable's value from one equation into another. The first stage in the substitution approach is to determine any variable's value in terms of the other variable from one equation. If there are two equations, x + y=7 and x - y=8, for instance, we can deduce from the first equation that x=7-y. The substitution approach is applied in this manner as the first stage. There are three steps in the substitution technique: For each variable, solve a single equation. Solve the other equation by substituting (plugging in) this expression. Find the corresponding variable by substituting the value back into the original equation.

∑x = 56

∑ y = 109453.5

∑ x² = 760

∑ x × y = 1093064.7

Substitute the upper values

6a + 56b = 109453.5

56a + 760b = 1093064.7

Solve the above 2 equations

a = 15430.5034

b = 301.2586

Now substitute the values in y = a + bx

y = 15430.5034 + 301.2586x

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Answer:

  33w² +660w

Step-by-step explanation:

You want the expression for the volume of a cuboid with dimensions in inches of 33, (w+20), and (w).

The volume of a cuboid is the product of its dimensions:

  V = HLW

  V = (33)(w +20)(w) = 33(w² +20w)

  V = 33w² +660w . . . . expression for volume

__

Additional comment

Comparing coefficients, you see ...

Answer:

Step-by-step explanation:

0.033

The equation for F is,

Determine the value of F.

Thus value of F is 210.

Okay, here we have this:

Considering the provided equation, we are going to solve the system using an augmented matrix and Gauss-Jordan Elimination. So we obtain the following:

Finally we obtain that the solution to the system is:

We are looking for the point at which the compensation from Plan A is less than the compensation from Plan B.

Plan A = 850 +0.1x

Plan B= 1050+(x-7000)(0.14)

Plan A < Plan B

850 +0.1x <1050+(x-7000)(0.14)

then we sill simplify

850+0.1x < 1050+0.14x-980

850+0.1x<70+0.14x

then we isolate the x

0.1x-0.14x<70-850

-0.04x<-780

x>-780/-0.04

x>19500

In this case the monthly sales x need to be greater than 19500 (x>19500), in order that Plan B were better than plan A.