price $2.40 then increased to $2.65. what is the percentage increase, rounded to the nearest 10th percent

The given function is not one-to-one.

To determine whether the function y = 2(x+1)²-4 is one-to-one, we need to check whether each unique value of x produces a unique value of y.

Let's begin by assuming that two different values of x, say x1 and x2, produce the same value of y, i.e., y(x1) = y(x2).

Then we have:

2(x1+1)²-4 = 2(x2+1)²-4

Simplifying this equation, we get:

(x1+1)² = (x2+1)²

Taking the square root of both sides, we get:

x1+1 = ±(x2+1)

We can now solve for x1 in terms of x2 as follows:

x1 = -(x2+1)±1

Since there are two possible values for x1 corresponding to a given value of x2, the function is not one-to-one.

Therefore, the given function is not one-to-one.

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The equation of logarithm are solved and

a) A = 2 + 3 log x + 4 log b

b) B = ( 36 + x + y ) ( log 6 )

c) C = ( 1/2 )x log 5

d) D = ln ( x⁴ / y² )

Given data ,

Let the logarithmic equation be represented as A

Now , the value of A is

a)

A = 2 log 10 + 3 log x + 4 log b

The base of the logarithm is 10 , so

A = 2 + 3 log x + 4 log b

b)

B = log 6³⁶ + log 6ˣ - log 6^ ( y )

From the properties of logarithm , we get

log A + log B = log AB

log A − log B = log A/B

log Aⁿ = n log A

B = 36 log 6 + x log 6 + y log 6

On taking the common term , we get

B = ( 36 + x + y ) ( log 6 )

c)

C = ( 1/2 )log 5ˣ

From the properties of logarithm , we get

C = ( 1/2 )x log 5

d)

D = 4 ln x - 2 ln y

From the properties of logarithm , we get

D = ln x⁴ - ln y²

On further simplification , we get

D = ln ( x⁴ / y² )

Hence , the logarithmic equations are solved

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I strongly believe the answer is 2, if it isnt that it must be 3.

"Rotated around the origin", as the question actually says, puts it in Quadrant-II (2).

But the way you put the question, just saying the triangle is rotated 90°, leaves it right where it is, in Quadrant-I, with vertex-H on the bottom.

Answer: Assuming the simplest possible case, ignoring air resistance and other factors, treat this as a free-fall problem.

Answer:

the y to 0 is -2, and the y to 3 is 1

the ordered pairs in order go (-3,-5), (-2,-4), (-1,-3),(0,-2),(1,-1),(2,0),(3,1)

the rule is y=x-2

Step-by-step explanation:

Answer:

slope of the line 3y = 2x - 9 , m = 2/3

therefore slope of line perpendicular to given line

m2 = -1/m1 = -3/2

then the general equation of line with slope -3/2 is given by

y = -3/2 ( x ) + c

where c = y-intercept which can be found when more data is provided

Answer:

It's an Irregular Quadrilateral

Step-by-step explanation:

It has 4 sides and the length of the sides of the Quadrilateral is not equal. This makes it irregular.

Answer:

Irregular Polygons

Step-by-step explanation:

Let's us first learn the definition of a polygon. A polygon is a closed shape figure that has a minimum of three sides and three vertices. The term ‘poly’ means ‘many’ and ‘gon’ means ‘angle’. Thus, polygons have many angles. The perimeter and area of polygon depend upon its types.

The classification of polygons is described based on the numbers of sides and vertices. For example, a polygon as four sides and four angles, then it is quadrilateral. The polygons up to 12 sides are the important ones. We are going to learn here polygon’s types based on the number of sides of the closed figure along with examples and diagrams.

Polygons are classified into various types based on the number of sides and measures of the angles. They are:

In a regular polygon, all the sides of the polygon are equal, and all the interior angles are the same. For example, a regular hexagon has six equal sides, and all its interior angles measure to 120 degrees.

A polygon with an irregular shape. It means the sides and angles of the polygon are not equal.

In a convex polygon, the measure of the interior angle is less than 180 degrees. It is exactly opposite to the concave polygon. The vertices of a convex polygon are always outwards

In a concave polygon, at least one angle measures more than 180 degrees. The vertices of a concave polygon are inwards as well as outwards.

Trigons are polygons who have three sides. They are nothing but triangles. These trigons or triangles are further classified into different categories, such as:

Quadrilateral polygon is also called a four-sided polygon or a quadrangle. The different types of the quadrilateral polygon are square, rectangle, rhombus and parallelogram.

The five-sided polygon is called pentagon polygon. When all the five sides of the polygon are equal in length, then it is called regular pentagon otherwise irregular pentagon.

Another type of polygon is the hexagon which has 6 sides and 6 vertices. A regular hexagon will have equal 6 sides and all its interior and exterior angles also measure equals.

The polygons whose all the sides are equal are called equilateral polygons, for example, an equilateral triangle, a square, etc.

The polygons whose all the interior angles are equal such as a rectangle are called equiangular polygons.

Answer:

Step-by-step explanation:

b i think if not it should be a sorry if im wrong

Answer:

3

-1/3

Step-by-step explanation:

up 3 right 1

down 1 right 3

Answer:

32

Step-by-step explanation:

p=8/1/4

p=8÷¼

p=8×4

p=32

hope this helps

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Answer:

3 sig fig

Step-by-step explanation:

If the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

It is given that, a certain truck traveled 7,605 miles in 15 days.

The average number of miles traveled per day is obtained by dividing the total distance traveled by the total time taken as,

Suppose the average number of miles traveled per day is x,

x=76015 / 15

x=507 miles per day.

Thus, if the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.

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Answer:

A)Mean :10.65

Median =10.7

Mode : 10.7

B)Range = 3.5

Standard deviation :0.89916

C)The response time of 8.3 minutes should be considered an outlier in comparison to the other response times

Step-by-step explanation:

A)

Data : 11.8 ,10.3, 10.7, 10.6, 11.5, 8.3, 10.5, 10.9, 10.7, 11.2

\(Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{11.8 +10.3+ 10.7+ 10.6+ 11.5+ 8.3+ 10.5+ 10.9+ 10.7+ 11.2}{10}\)

Mean = 10.65

Median: The mid value of the data

Data in ascending order

8.3

10.3

10.5

10.6

10.7

10.7

10.9

11.2

11.5

11.8

n=10(even)

\(Median = \frac{(\frac{n}{2})\text{th term}+(\frac{n}{2}+1)\text{th term}}{2}\\Median = \frac{(\frac{10}{2})\text{th term}+(\frac{10}{2}+1)\text{th term}}{2}\\Median = \frac{10.7+10.7}{2}\\Median = 10.7\)

Mode : the most occurring frequency

10.7 is occurring twice while others are occurring once

So, Mode is 10.7

B) Range = Maximum - Minimum=11.8-8.3=3.5

Standard deviation : \(\sqrt{\frac{\sum(x-\bar{x})^2}{n}}\)

Standard deviation :\(\sqrt{\frac{(11.8-10.65)^2+(10.3-10.65)^2+......+(10.9-10.65)^2+(10.7-10.65)^2+(11.2-10.65)^2}{10}}\)

Standard deviation :0.89916

C)

8.3

,10.3

,10.5

,10.6

,10.7

,10.7

,10.9

,11.2

,11.5

,11.8

For Q1 ( Median of lower quartile )

8.3

,10.3

,10.5

,10.6

,10.7

\(Median = \frac{n+1}{2}\text{th term} =\frac{5+1}{2}=3 \text{rd term}=10.5\)

For Q3( Median of Upper quartile )

10.7

,10.9

,11.2

,11.5

,11.8

\(Median = \frac{n+1}{2}\text{th term} =\frac{5+1}{2}=3 \text{rd term}=11.2\)

IQR = Q3-Q1=11.2-10.5=0.7

Range :(Q1-1.5IQR, Q3-1.5IQR)

Range :\((10.5-1.5 \times 0.7, 11.2-1.5 \times 0.7)\)

Range :(9.45, 10.15)

8.3 does not lie in this interval

So, the response time of 8.3 minutes should be considered an outlier in comparison to the other response times

The correct expression which is not a rational expression,

⇒ (x+3)(2x-1) / (x+3)

We have to given that;

All the expressions are,

⇒ (x+3)(2x-1) / (x+3)

⇒ (3x²+3x) / (4x+5)

⇒ (3x+4√x-7) / (2x+2)

⇒ (2x²-3x³+5) / 5x

Since, A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

Hence, We can simplify all the expressions as,

⇒ (x+3)(2x-1) / (x+3)

⇒ (2x - 1)

Hence, It is not a rational expression.

⇒ (3x²+3x) / (4x+5)

⇒ 3x (x + 1) / (4x + 5)

Hence, It is a rational expression.

⇒ (3x+4√x-7) / (2x+2)

⇒ (3x + 4√x - 7) / 2 (x + 1)

Hence, It is a rational expression.

⇒ (2x²-3x³+5) / 5x

Hence, It is a rational expression.

Thus, The correct expression which is not a rational expression,

⇒ (x+3)(2x-1) / (x+3)

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The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

To determine the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.

Preferred Stock:

Dividends per share of preferred stock = Total dividends for preferred stock / Number of preferred shares

Year 1:

Dividends per share of preferred stock for Year 1 = $50,000 / 40,000 shares = $1.25

Year 2:

Dividends per share of preferred stock for Year 2 = $90,000 / 40,000 shares = $2.25

Year 3:

Dividends per share of preferred stock for Year 3 = $130,000 / 40,000 shares = $3.25

Common Stock:

Dividends per share of common stock = Total dividends for common stock / Number of common shares

Year 1:

Dividends per share of common stock for Year 1 = ($50,000 - Total dividends for preferred stock) / 100,000 shares = ($50,000 - $50,000) / 100,000 shares = $0

Year 2:

Dividends per share of common stock for Year 2 = ($90,000 - Total dividends for preferred stock) / 100,000 shares = ($90,000 - $90,000) / 100,000 shares = $0

Year 3:

Dividends per share of common stock for Year 3 = ($130,000 - Total dividends for preferred stock) / 100,000 shares = ($130,000 - $130,000) / 100,000 shares = $0

The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

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Answer:

what grade is this

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that:

\(\mathtt{f(x) = ax^2 + bx + c}\)

The derivative of the function of x is  \(\mathtt{f'(x) = 2ax + b}\)

Thus; f(x) is increasing when f'(x) > 0

f(x) is decreasing when f'(x) < 0

i.e

f'(x) > 0 , when  b > 0  and a < 0

∴

2ax + b < 0

2ax < - b

\(\mathtt{x < \dfrac{-b}{2a}}\)

f'(x) < 0 , when  b < 0  and a > 0

2ax + b > 0

2ax > - b

\(\mathtt{x > \dfrac{-b}{2a}}\)

Answer:

If we are looking at 100th it is 176 if it's tens look at 7 and 9

The length of the sides of EFG are 144 cm, 128 cm and 112 cm. And length of the longest side of QRS is 360 cm.

A triangle is a polygon with three sides and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is represented as ΔABC.

In Euclidean geometry, any three points, if not collinear, define a unique triangle and, at the same time, a unique plane (that is, two-dimensional Euclidean space). That is, there is only one plane containing this triangle, and all triangles are contained in one plane. If all geometries were just Euclidean planes, there would be only one plane and all triangles would be in it. But this is not the case in high dimensional Euclidean space. This article is about triangles in Euclidean geometry, specifically the Euclidean plane, unless otherwise stated.

According to the question:

Triangles EFG and QRS are similar

So EF/QR = FG/RS = EG/QS

Therefore,

The length of the sides of EFG are 144 cm, 128 cm and 112 cm.

Here, 112 is smallest side of triangle EFG  

Let, the smallest side of EFG  be EF so QR is also the smallest side of triangle QRS i.e. QR = 280 cm & other sides be assumed "x" & "y"

Now,

   112/280 = 144/x = 128/y

⇒ 2/5 = 144/x = 128/y

Taking first two, we get

x = 360 cm

Now,

Taking first and third , we get ,

y = 320 cm

So others two sides of triangle QRS are 320 cm & 360 cm.

And length of the longest side of QRS is 360 cm.

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Answer:

A

C

D

Step-by-step explanation:

Answer:

$32.32

Step-by-step explanation:

0.76p+1.40g where p = pounds of pears and g = pounds of grapes

0.76(2)+1.4(22)

32.32

Answer:

Rounded to the nearest hundredths, the volume of the cylinder is approximately 58.91 cm^3.

Step-by-step explanation:

To find the volume of a cylinder, you need to know its radius (r) and height (h). In this case, the radius is given as 5 cm and the height is 0.75 cm.

The formula for the volume of a cylinder is:

V = π * r^2 * h

where π is a mathematical constant approximately equal to 3.14159.

Let's substitute the given values into the formula:

V = π * (5 cm)^2 * 0.75 cm

V ≈ 3.14159 * (25 cm^2) * 0.75 cm

V ≈ 58.909 cm^3

Answer:

x<7

Step-by-step explanation:

12x>9(2x-3)-15

12x>18x-27-15

12x>18x-42

-6x>-42

x<7

Answer: C.

Step-by-step explanation: The side opposite the smallest angle in a triangle is the shortest side, and vice versa. Thus, we can say that WY is the shortest, XY is the medium, and WX is the longest. Thus, the answer is C.

Answer:

I honestly dont knoooooow

Answer:

z > -4/5

Step-by-step explanation:

-9 - (2z - 7) > -2z - 6 - 5z

Get rid of the parenthesis

-9 - 2z + 7 > -2z - 6 - 5z

Combine like terms:

       -2 - 2z > -7z - 6

       +2       >       +2

Add 2 to both sides.

 -2z > -7z - 4

 +7z > +7z

Add 7 to both sides.

5z > -4

Divide both sides by 5 to get z.

z > -4/5

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Answer:

-x^2(x + 5)(x - 5)

Step-by-step explanation:

x^2 is common to both terms of -x^4+25x^2:

x^2(-x^2 + 25)

and the binomial factor can be factored further:

x^2(x + 5)(-x + 5) or

-x^2(x + 5)(x - 5)

The equation has two solutions, on is extraneous and x = 7, and the real solution is x = -8.

Here we have the following equation:

x + 8x/(x - 7) = 56/(x - 7)

This is the original equation, notice that if x = 7, we will have a zero on the denominators, and we can't divide by zero, thus, x can't be equal to 7.

Now let's multiply all the equation by (x - 7)

(x - 7)*x + 8x = 56

Now we have a quadratic equation:

x^2 - 7x + 8x - 56 = 0

x^2 + x - 65 = 0

Using the quadratic formula we will get the two solutions:

\(x = \frac{-1 \pm \sqrt{1^2 - 4*1*-56} }{2*1} \\\\x = \frac{-1 \pm15}{2*1}\)

Then the two solutions are:

x = (-1 + 15)/2 = 7  (this one is an extraneous solution, we can discard this one)

x = (-1 - 15)/2 = -8

This is our solution.

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We state that a student correlates to a faculty member if somehow the student gets currently enrolled in some kind of a course taught by such faculty member in order to define a one to one relationship between the two sets. The correspondence a function.

The symbol for an ordered pair is (INPUT, OUTPUT): The relation denotes the connection between the input and output.

For the stated question-

We state that a student correlates to a faculty member if somehow the student gets currently enrolled in some kind of a course taught by such faculty member in order to define a one to one relationship between the two sets.

One student is related to one facility.

Thus, correspondence given forms a function.

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Answer:

35°

Step-by-step explanation:

-5° + 40° = 35°

So the ansWer is 35°

Answer:

39 pages

Step-by-step explanation:

If 13 pages are read in 1/3 of an hour, we need to multiply 13 by 3 to get the number of pages read in 1 hour. 13*3 = 39 pages