What is the simplified form of the following expression? 6m² + 7.2n - 4n+2m2-n

The equation of an ellipse with x-intercepts at (4, 0) and (-4, 0), y-intercepts at (0, 9) and (0, -9), and center at (0, 0) is \($\frac{x^2}{16}+\frac{y^2}{81}=1$$\).

As per the given data the ellipse with x-intercepts at (4, 0) and (-4, 0), y-intercepts at (0, 9) and (0, -9), and center at (0, 0).

If the ellipse has its x-intercepts at points (4, 0) and (-4, 0) and y-intercepts at points (0, 9) and (0, -9), then it's symmetric across the y- axis and the x-axis.

The equation of an ellipse where the major axis 2a is greater than the minor 2b.

When 2b > 2a , then the equation becomes \($\frac{(y-h)^{2} }{b^{2} } + \frac{ (x-k)^{2} }{a^{2} } =1\)

Moreover h = 0 and k = 0 because the center is on the origin, so the equation becomes:

\($\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)

Moreover,

a = 4

b = 9

The equation of the such ellipse is

\($\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)

Hence, the equation of the ellipse is

\($\frac{x^2}{4^2}+\frac{y^2}{9^2}=1\)

\($\frac{x^2}{16}+\frac{y^2}{81}=1$$\)

Therefore the equation of an ellipse is  \($\frac{x^2}{16}+\frac{y^2}{81}=1$$\).

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Find the equation of the ellipse with the following properties. The ellipse with x-intercepts at (4, 0) and (-4, 0), y-intercepts at (0, 9) and (0, -9), and center at (0, 0).

The set of ordered pairs that is a function is (b) (-9, 9), (-8, 1), (2, -4), (-2, 1)

The list of options represents the given parameter

All ordered pairs are relations but not all ordered pair are functions

For an ordered pair to be a function, the following must be true:

The y values on the ordered pair must have  different x values

Using the above as a guide,

This means that the ordered pair in option (b) represents a function

Hence, the ordered pair that is a function is (b)

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Answer:

0.75

Step-by-step explanation:

\(\frac{3}{4} * 25=\frac{75}{100}\)  

Answer:

61 bales of hay

Step-by-step explanation:

38 + 61 = 99

Answer:

10.2%

Step-by-step explanation:

The given population of the village in 2017 = 7,500

The given population of the village in 2019 = 8,265

The percentage increase in the population of the village from 2017 to 2019 is given by the following percentage increase formula;

\(Percentage \ increase = 100 \times \dfrac{Final \ value - Initial\ value}{Initial \ value}\)

The final value of the population in 2019 = 8,265

The initial value of the population in 2017 = 7.500

Therefore;

\(Percentage \ increase \ in \ the \ population = 100 \times \dfrac{8,265 - 7,500}{7,500} = 10.2 \%\)

The percentage increase in the population = 10.2%

1) (a) The transformations that occur from the parent function are horizontal translation of 2 units to the left and vertical translation of 4 units to the down.

(b) (-2, -4)

(c) Graph is given below.

1) Given a function,

g(x) = (x + 2)² - 4

(a) Given a parent function p(x) = x².

We can write g(x) as,

g(x) = p(x + 2) - 4

So the transformation is horizontal translation of 2 units to the left and vertical translation of 4 units to the down.

(b) Vertex formula of a parabola is,

y = a (x - h)² + k, where (h, k) is the vertex.

Comparing the given function with vertex form,

Vertex of the parabola = (-2, -4)

(c) Graph of g(x) will be a parabola with vertex at (-2, -4).

It is given below.

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The Braille system uses two vertical columns of three dots each to represent characters. There are 8 possible combinations for each column, giving a total of 64 distinct Braille characters.

The Braille system of representing characters was developed by Louis Braille in the early nineteenth century. This system is used by blind people and consists of raised dots that represent characters. The positions for the dots are selected from two vertical columns of three dots each. At least one raised dot must be present to represent a character.

To determine the number of distinct Braille characters possible, we need to consider the number of ways we can arrange the dots in the two vertical columns. Each column has three dots, and we need to choose which of these three dots to raise to represent a character. This gives us a total of 2^3 = 8 possible combinations for each column.

Since we have two columns, we can multiply the number of possible combinations for each column to get the total number of distinct Braille characters. This gives us 8 x 8 = 64 possible characters.

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Answer:

y = -2/3x + 4

Step-by-step explanation:

In an equation that represents a line, the number with which no variable is multiplied is the y-intercept.

The number with which "x" is multiplied is the slope.

So in this case, the slope is -2/3; so the equation should be like -2/3x.

The y-intercept is 4, so it is the number with which no variable is multiplied.

So the equation is:

=> y = -2/3x + 4

Answer:

15

Step-by-step explanation:

DEC=150 cause DAB is isosceles

Answer:

The radius of the circle is 5/√2 = (5√2)/2 inches.

Area of circle = π((5√2)/2)^2

= 25π/2 square inches

Area of triangle = (1/2)(5√2)((5√2)/2)

= 25/2 square inches

Area of shaded region

= (25/2)(π - 1) = 26.77 square inches

The function has a maximum value, at the coordinates given by (-3,2),

The quadratic function for this problem is defined as follows:

g(x) = -2x² - 12x - 16.

The coefficients of the function are given as follows:

a = -2, b = -12, c = -16.

As the coefficient a is negative, we have that the vertex represents the maximum value of the function.

The x-coordinate of the vertex is given as follows:

x = -b/2a

x = 12/-4

x = -3.

Hence the y-coordinate of the vertex is given as follows:

g(-3) = -2(-3)² - 12(-3) - 16

g(-3) = 2.

The missing information is:

Does the function have a minimum of maximum value? Where does the minimum or maximum value occur? What is the functions minimum or maximum value?

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Answer:

x = 138

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

x = B+ C

x = 68+ 70

x =138

Answer:

138 degrees

Step-by-step explanation:

A triangle is made up of 180 degrees, it lists 2 values already, 68&70. when added that equals 138.

So 180-138 is 42 degrees, which would be the last angle within the triangle.

Since a line is also 180 degrees, its 180-42, which makes x 138 degrees

Answer:

£150

Step-by-step explanation:

£200 is 100%. If you decrease it by 25%, you end up with 75% of £200.

75% of £200 =

= 0.75 × £200

= £150

Answer:

£150

Step-by-step explanation:

25% means 25 per hundred, and decreasing 200 by 25% means that we should subtract 25% of 200, from 200:

25% · 200

= \(\frac{25}{100}\) · 200

= \(\frac{1}{4}\) · 200

= 50

⇒ 200 - 25% · 200

= 200 - 50

= 150

Alternatively, decreasing by 25% is the same as keeping 75%

(as 100% - 25% = 75%)

75% · 200

= \(\frac{3}{4}\) · 200

= 150

Answer:

  ∠B ≈ 30.0°

Step-by-step explanation:

The law of sines can be used to solve a triangle when two sides and an angle opposite one of them are given.

__

  sin(B)/b = sin(C)/c

  sin(B) = (b/c)sin(C) . . . . solve for sin(B)

  sin(B) = (14/28)sin(91°) ≈ 0.49992385

The angle is found using the inverse sine function:

  B = arcsin(0.49992384) ≈ 29.99496°

Rounded to tenths, the angle is ...

  m∠B ≈ 30.0°

_____

Additional comments

Many triangle solver apps and web sites are available if all you want is an answer.

When using your calculator, be sure the angle mode is set to "degrees."

The Law of Sines can also be used to solve a triangle when two angles and one side are known.

Answer:

probability for numbers greater than seven would be: 5/12

probability for landing on blue would be: 2/8

Step-by-step explanation

first, I counted all of the spaces, then I counted only the blue , or only the numbers over 7.

610 students must be randomly selected to estimate the mean weekly earnings of students at one college.

We have to find our α level, that is the subtraction of 1 by the confidence interval divided by 2.

So: α = (1 - 0.95)/2

      α = 0.025

Now, we have to find z in the Z-table as such z has a p-value of 1 - α .

so, Z = 1.96

Now, find the margin of error M as such,

M = z(σ/√n)

In which  is the standard deviation of the population and n is the size of the sample.

The population standard deviation is known to be $63.

This means that σ = 63

ample mean within $5 of the population mean

This is n for which M = 5.

So, M = z(σ/√n)

5 = 1.96(63/√n)

2.55 = (63/√n)

√n = 24.70

n = 610.4

n ≈ 610

Therefore, 610 students must be randomly selected to estimate the mean weekly earnings of students at one college.

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Answer:

3⅛ ÷ 1⅔ = 1.9083969465648855.

Step-by-step explanation:

To arrive at this answer, we can first convert 3⅛ and 1⅔ to fraction form.

3⅛ can be written as 3 + 1/8, which is equal to 3 + 1/8 = 25/8.

Similarly, 1⅔ can be written as 1 + 2/3, which is equal to 1 + 2/3 = 5/3.

Therefore, 3⅛ ÷ 1⅔ is equal to (25/8) ÷ (5/3) = (25/8) * (3/5) = (325)/(85) = 75/40 = 1 + 35/40 = 1 + 35/40 = 1.875.

This is the exact result, but if you want to round to the nearest hundredth, the result would be 1.91.

According to given information, answer is \(x = 2/3\).

The equation is \(16 * 4^{(x - 2)} = 64^{-2x}\).

Let's begin by simplifying both sides of the equation \(16 * 4^{(x - 2)} = 64^{-2x}\).

We can write \(64^{-2x}\) in terms of \(4^{(x - 2}\).

Observe that 64 is equal to \(4^3\).

So, we have \(64^{(-2x)} = (4^3)^{-2x} = 4^{-6x}\)

Hence, the given equation becomes \(16 * 4^{(x - 2)} = 4^{(-6x)}\)

Let's convert both sides of the equation into a common base and solve the resulting equation using the laws of exponents.

\(16 * 4^{(x - 2)} = 4^{(-6x)}\)

\(16 * 2^{(2(x - 2))} = 2^{(-6x)}\)

\(2^{(4 + 2x - 4)} = 2^{(-6x)}\)

\(2^{(2x)} = 2^{(-6x)}\)

\(2^{(2x + 6x)} = 12x\)

Hence, \(x = 2/3\).

Answer: \(x = 2/3\).

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Step-by-step explanation:

1. radius=13in

diameter= 2r =2(13)=26in

area=πr²= 22/7*(13)²

531.14in²

circumference= 2πr=2*22/7*13

81.71in

2.radius=32ft

diameter= 2r =2(32)=64ft

area=πr²= 22/7*(32)²

3218.28ft²

circumference= 2πr=2*22/7*32

201.14ft

The 27th term of the given arithmetic sequence is -19.

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The explicit formula for any arithmetic series is given by the formula,

aₙ = a₁ + (n-1)d

where d is the difference and a₁ is the first term of the sequence.

Given that the nth term of an arithmetic sequence can be found using the function, f(n) = -n + 8. Now, the value of the 27th term of the arithmetic sequence can be found as,

f(n) = -n + 8

f(27) = -(27) + 8

f(27) = -27 + 8

f(27) = -19

Hence, the term is -19.


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Answer:

w1= -1.4, w2= 3

Step-by-step explanation:

I will assume that "x" is a w since there is no x within the question

Solution

w

1

=−

5

7

,w

2

=3

Alternative Form

w

1

=−1.4,w

2

=3

Evaluate

5×∣4w−1∣=5w+40

Simplify

5∣4w−1∣=5w+40

Rewrite the expression

5∣4w−1∣−5w−40=0

Separate the equation into 2 possible cases

5(4w−1)−5w−40=0,4w−1≥0

5(−(4w−1))−5w−40=0,4w−1<0

Evaluate

w=3,4w−1≥0

5(−(4w−1))−5w−40=0,4w−1<0

Evaluate

w=3,w≥

4

1

5(−(4w−1))−5w−40=0,4w−1<0

Evaluate

w=3,w≥

4

1

w=−

5

7

,4w−1<0

Evaluate

w=3,w≥

4

1

w=−

5

7

,w<

4

1

Find the intersection

w=3

w=−

5

7

,w<

4

1

Find the intersection

w=3 w=− 57

Solution

w

1

=−

5

7

,w

2

=3

Alternative Form

w 1=−1.4,w 2

=3

The solution to the equation does not exist

From the question, we have the following parameters that can be used in our computation:

2x - 3 = 0

2x - 3 = 3

Also from the question, we understand that the graph is given as

3 = 0

The above equation is false, and cannot be represented on a graph

This is so because 0 and 3 do not have the same value

Similarly, we have 2x - 3 = 0 and 2x - 3 = 3

By substitution, the equations becomes

0 = 3

Hence, the equation has no solution

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Complete question

Graph of 3=0

Solve the equation 2x - 3 = 0 and 2x - 3 = 3 graphically

Answer:

they are right!!!!!!!

Answer:

figure????

X

610

x=

1

Answer: SYSTEMS OF EQUATIONS in TWO VARIABLES. A system of equations is a collection of two or more equations with the same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system. The equations in the system can be linear or non-linear.

Step-by-step explanation:

Answer:

Gwen's and Tristan's. Keith already has the same equation as Gwen, so it won't help us find out the cost of the entry fee and the cost of each ticket.

The exponential equation is \(y=ab^x\). Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

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The exponential equation is y = \(ab^{x}\) . Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

The formula for exponential regression is y = \(ab^{x}\) . This refers to the process of arriving at the best exponential curve equation for your dataset. This regression is very similar to linear regression and tries to find the best (straight line) line equation for a data set.

Exponential regression refers to the process of obtaining the best exponential curve equation for a data set.

A model that explains the process of doubling growth.

The exponential equation is y = \(ab^{x}\)

Exponential functions are commonly used in life sciences and are used to represent the specific quantity that you want to model. B. Population size modeled over time. Plots of experimental data are usually plotted with time on the x-axis and quantity on the y-axis.

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The coordinate of 'A' will be;

⇒ A = (- 1, - 8)

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The translation is,

The image point of A after a translation left 1 unit and down 1 unit is the point B(0, -7).

Now,

Since, The image point of A after a translation left 1 unit and down 1 unit is the point B(0, -7).

Hence, The point of A become;

⇒ A = (0 - 1 , - 7 - 1)

⇒ A = (- 1, - 8)

Thus, The coordinate of 'A' will be;

⇒ A = (- 1, - 8)

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Answer:

47

Step-by-step explanation:

4-3=7 7x3= 54 54-13= 47

Answer:

Step-by-step explanation:

(-3+1)/2 = -2/2 = -1

(8+2)/2 = 10/2 = 5

(-1, 5)

Answer:

\(\boxed {(-1, 5)}\)

Step-by-step explanation:

Use the Midpoint Point Formula to determine the midpoint of two given points:

\((\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})\)

First point: \((x_{1}, y_{1})\)

Second point: \((x_{2}, y_{2})\)

-Substitute the given points:

First point: \((-3, 8)\)

Second point: \((1, 2)\)

\((\frac{-3 + 1}{2}, \frac{2 + 8}{2})\)

-Solve the equation:

\((\frac{-3 + 1}{2}, \frac{2 + 8}{2})\)

\((\frac{-2}{2}, \frac{10}{2})\)

\(\boxed {(-1, 5)}\)

Thus, the midpoint is \((-1, 5)\).

Answer:

Step-by-step explanation:

6\(\sqrt{5\\\)

\(\sqrt{5*36}\)

\(\sqrt{180}\)

If you think about it logically, how can you take 6 out? So there was a number 36 under the root, and because of that there is a possibility to take it out, because 6 squared is 36