. (a) Explain why the function f(x) = e™² is not injective (one-to-one) on its natural domain. (b) Find the largest possible domain A, where all elements of A are non-negative and f: A → R, f(x)

Answer:

A

Step-by-step explanation:

Because your not studying

Answer:

D

Step-by-step explanation:

simple plug and chug.

Understand that variables are already defined, x=3/4, y=15 meaning that if we plug one of the variables into an equation, we should obtain the other variable's number.

y=20x will result in y=15 when x=3/4 and vice versa.

we know that

The clock represent a complete circle

The circumference of a circle is giving by the formula

C=2pi r

where

r is the radius of the circle

In this problem

The radius of the circle is equal to the length of the minute hand

so

r=6 in

C=2pi(6)

C=12pi in

The length of the complete circle subtends a central angle 0f 360 degrees

Find out what is the central angle for 10 minutes (6:35 to 6:45)

we know that

6 hours represent 90 degrees

so

1 hour represent 15 degrees

1 hour represent 60 minutes so

divide by 6

15/6=2.5 degrees

therefore

using proportion

12pi/360=x/2.5

solve for x

x=12pi(2.5)/360

use 3.14 as pi

x=12(3.14)(2.5)/360

x=0.26 inches

The answer is 0.26 inches

Answer:

48.6

Step-by-step explanation:

If you use 8.1g of sugar for 1 cake then 6 cakes will be 48.6g of sugar

Just do 8.1*6 and you will get 48.6

Answer:

17) \(k=-5,-6\)

18) \(x=6,4\)

19) \(k=-2,-6\)

20) \(v=6,-3\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

5- -4=1 +3=4

Answer: A parabola can be defined as the set of all points that are equidistant from a focus and a directrix. Based on the information provided, the focus of the parabola is (0, 4) and the directrix is y =.

The parabola will open upwards or downwards depending on the location of the focus and the directrix. Since the focus is at (0, 4), and the directrix is at y =, the parabola must open upwards. The axis of symmetry of the parabola will pass through the focus and will be perpendicular to the directrix.

Without more information, it is not possible to fully determine the shape and equation of the parabola. The shape of the parabola and its equation can be found by using the focus and directrix and other information, such as the vertex or a point on the parabola.

Step-by-step explanation:

The best response functions for both players in the Nash-demand game where players divide a resource of size 3 are formally stated. The presence of strictly dominated strategies for either player is examined.

In the Nash-demand game, the best response functions for both players can be formally stated by determining each player's optimal strategy given the other player's strategy. The best response functions represent the actions that maximize each player's payoff given the other player's action.

Graphically, the best response functions can be plotted to find all Nash equilibria, which are the points where both players are playing their best responses simultaneously. The intersections of the best response functions indicate the Nash equilibria in the game.

Among the Nash equilibria obtained from the best response functions, the strict Nash equilibria are those where both players' strategies are strictly optimal, meaning there are no alternative strategies that yield higher payoffs for either player.

The presence of strictly dominated strategies for either player is examined to determine if there are strategies that are always inferior to other available strategies, regardless of the other player's choices.

The existence of weakly dominated strategies for either player is analyzed to identify any strategies that are always weakly inferior to other available strategies. If weakly dominated strategies exist, they are specified.

By addressing these questions, we can gain a comprehensive understanding of the best response functions, Nash equilibria, strict Nash equilibria, and the presence of dominated strategies in the Nash-demand game with resource division.

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The ratio to compare green eyes to brown eyes in the given table is 1:7.

The ratio to compare green eyes to brown eyes is 3:21, which can be simplified to 1:7.

To find the percentage equivalent, we can use the formula: (part/whole) x 100. So, (18/30) x 100 = 60%. Therefore, the percent equivalent to 18 over 30 is 60%.

It should be noted that to find how many times Ronnie hit the ball, we can use the formula: (percentage/100) x total. So, (60/100) x 50 = 30. Therefore, Ronnie hit the ball 30 times.

In order tp find the unit rate per book, we can divide the total cost by the number of books. So, $71.94/6 = $11.99. Therefore, the unit rate per book is $11.99.

Since 1 pound is equal to 16 ounces, we can convert 6 pounds to ounces by multiplying by 16. So, 6 x 16 = 96. Therefore, there are 96 ounces of peanuts in the container.

In order to find the value of 60% of 150, we can use the formula: (percentage/100) x total. So, (60/100) x 150 = 90. Therefore, 60% of 150 is 90.

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Answer:

A. 120

Step-by-step explanation:

25%

The required increases in the number from 120 to 150 is 25% of the original number.

Answer:

Step-by-step explanation:

Add them together

-6x = -4

X = 4/6 y = -1

Answer:(x,y)=(23/6,-5/14)

Step-by-step explanation:

I used an app so dont get mad if its wrong

Answer:

Step-by-step explanation:

To find the area of the shaded region, we need to find the area of the sector of the circle with angle 116 degrees and subtract it from the area of the whole circle.

The area of the sector with angle 116 degrees can be found using the formula:

sector area = (angle/360) * pi * r^2

Substituting the given values, we get:

sector area = (116/360) * pi * 20^2 = 50.6 cm^2

The area of the whole circle is:

circle area = pi * r^2 = pi * 20^2 = 400 cm^2

Therefore, the area of the shaded region is:

400 cm^2 - 50.6 cm^2 = 349.4 cm^2

So the area of the shaded region is 349.4 cm^2.

Answer:

Multiplying by 1/4 is the same as dividing by 4

Step-by-step explanation:

They go hand in hand, but are reversed operations. (if that makes any sense)

Answer:

(- 1, 3 )

Step-by-step explanation:

2x + 3y = 7 → (1)

- 2x + 4y = 14 → (2)

add (1) and (2) term by term to eliminate x

(2x - 2x) + (3y + 4y) = (7 + 14)

0 + 7y = 21

7y = 21 ( divide both sides by 7 )

y = 3

substitute y = 3 into either of the 2 equations and solve for x

substituting into (1)

2x + 3(3) = 7

2x + 9 = 7 ( subtract 9 from both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

As a check

substitute the values of x and y into the left side of both equations and if equal to the right side in both equations then the values of x and y are true.

(1) 2(- 1) + 3(3) = - 2 + 9 = 7 ← true

(2) - 2(- 1) + 4(3) = 2 + 12 = 14 ← true

then (- 1, 3 ) is the solution to the system

Answer:(- 1, 3 )

Step-by-step explanation:

Profit fall in one year = 116.8$

What is profit?

In accounting, a profit is an income that is given to the owner throughout a successful market producing process. Profitability, which is the owner's primary interest in the income-formation process of market production, is measured by profit. There are several profit metrics that are frequently used.

Let cost price = C

And selling price before reducing = S

Profit for 1 day = S-C

Now, After reducing selling price to = S-0.32

Profit= S - 0.32 - C for 1 day

Profit fall by = (S-C)-(S - 0.32 - C)

                     = S - C - S + 0.32 + C

Profit fall by = 0.32 for 1 day

Profit fall by one year = 0.32×365

                                    = 116.8$

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Answer: No the ratios are NOT related  

Step-by-step explanation:

Their present age are:

Vikas 's age = 15 years, Mother's age = 42 years  and

Grandmother's age = 64 years.

Let that present age of Vikash is x yrs.

So, his Mother's age= (x+27) yrs

Grandmother's age = (x+27+22) i.e., (x+49) yrs.

According to question,

   x+ (x+27)+ (x+49) = 121

⇒ 3x+ 76 = 121

⇒ 3x = 121-76

⇒ x= 45/3

⇒ x = 15

Therefore,

x = 15

Which means the age of Vikas is 15 years.

Now

So, mother's age will be = 15+27

                                        = 42 years.

And,

Grandmother's age = 15+49

                                = 64 years.

Hence, age of Vikash, his Mother and his Grandmother are 15 yrs, 42 yrs, and 64 yrs respectively.

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Answer:

Step-by-step explanation:

Its 46

46

happy valentines day!

Answer:

When rounding to the nearest ten, like we did with 1890 above, we use the following rules:

A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Step-by-step explanation:

Given that $OF = 9$ and $OF' = 12,$ where $F$ and $F'$ are the foci of the ellipse, we can determine the lengths of the major and minor axes.

In an ellipse, the sum of the distances from any point on the ellipse to the two foci is constant. This property is expressed by the equation:

$$PF + PF' = 2a,$$

where $P$ is any point on the ellipse and $a$ is the semi-major axis. In our case, $P = O,$ and since $OF = 9$ and $OF' = 12,$ we have:

$$9 + 12 = 2a,$$

$$21 = 2a.$$

Therefore, the semi-major axis $a$ is equal to $\frac{21}{2} = 10.5.$

The distance between the center of the ellipse and each focus is given by $c,$ where $c$ is related to $a$ and the semi-minor axis $b$ by the equation:

$$c = \sqrt{a^2 - b^2}.$$

We can solve for $b$ using the distance to one focus:

$$c = \sqrt{a^2 - b^2},$$

$$c^2 = a^2 - b^2,$$

$$b^2 = a^2 - c^2,$$

$$b = \sqrt{a^2 - c^2}.$$

Substituting the known values:

$$b = \sqrt{10.5^2 - 9^2},$$

$$b = \sqrt{110.25 - 81},$$

$$b = \sqrt{29.25},$$

$$b \approx 5.408.$$

Therefore, the semi-minor axis $b$ is approximately $5.408.$

Finally, we can determine the lengths of the major and minor axes:

The major axis $\overline{AB}$ is twice the semi-major axis, so $\overline{AB} = 2a = 2(10.5) = 21.$

The minor axis $\overline{CD}$ is twice the semi-minor axis, so $\overline{CD} = 2b = 2(5.408) \approx 10.816.$

Therefore, the major axis $\overline{AB}$ is $21$ units long, and the minor axis $\overline{CD}$ is approximately $10.816$ units long.

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Answer:

30

19.5

16

Step-by-step explanation:

you need to find the rule, so divide 12 by 8 and see the factor is 1.5, so just multiply all the numbers by 1.5 to get the second column, and for the last one divide the number by the factor

Answer:

20 honey = 30 flour

13 honey = 19.5 flour

16 honey = 24 flour

Step-by-step explanation:

CROSS MULTIPLYING:

12x20=240, 240/8=30

13x12=156, 156/8= 19.5

8x24=192, 192/12=16

Answer:

1.  Y = -1/4x + 1

3. Y = 2/5x + 1

5. Y = 4/5x + 5

7. Y = -x + 5

9. Y = -5/2x - 16

Step-by-step explanation:

Find the slope using the formula

Use the slope and one of the points to find the y-intercept

Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

Let's use x to represent the cost of one orange and y to represent the cost of one lemon. We can then set up a system of two equations:16x + 13y = 9.29 19x + 6y = 9.05 These equations represent the total cost of buying a certain number of oranges and lemons in two different scenarios.

To understand why we need two equations, let's consider the first equation: 16x + 13y = 9.29

This equation tells us that if we buy 16 oranges and 13 lemons, the total cost will be $9.29. But we don't know the individual prices of oranges and lemons yet. That's where the second equation comes in: 19x + 6y = 9.05

This equation tells us that if we buy 19 oranges and 6 lemons, the total cost will be $9.05. Again, we don't know the individual prices yet.

By setting up a system of equations, we can solve for x and y, which represent the prices of oranges and lemons, respectively.

One way to solve this system is by elimination. We can multiply the first equation by 19 and the second equation by -16, which will allow us to eliminate y:

304x + 247y = 176.51
-304x - 96y = -144.8

Adding these two equations together gives: 151y = 31.71
Dividing both sides by 151, we get: y = 0.21
Now we can substitute this value of y into one of the original equations to solve for x. Let's use the first equation:
16x + 13(0.21) = 9.29
16x + 2.73 = 9.29
16x = 6.56
x = 0.41

So the cost of one orange is $0.41 and the cost of one lemon is $0.21.

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Answer:

Write equations in slope-intercept form for each of the lines described. (HELP PLS)

a. The line passes through the point (0,5), has positive slope, and is twice as steep as the line y = x.

---------------------

b. The line passes through the point (0,1), has positive slope, and is half as steep as the line y = x.

---------------------

c. The line passes through the point (0,0), has negative slope, and is twice as steep as the line y = x.

---------------------

d. The line passes through the point (0,3), has negative slope, and is half as steep as the line y = x.

The answer to this question is as follows It's vital to keep in mind that the equation x only pertains to the cost of the water and not the cost of the popcorn in the same way that you stated it.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.  

To calculate Theodore's overall spending, use the following expression:

3x + 4.50

This is due to the fact that he also spent $4.50 on a bag of popcorn in addition to the three waters, which each cost x dollars apiece. His whole expenditure may be calculated by adding these two charges.

When we condense the formula 3x + 4.50, we get:

the 7.50x

It's vital to keep in mind that the x only pertains to the cost of the water and not the cost of the popcorn in the same way that you stated it.

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The property that justifies each steps is the equation 3x - 12 = 7x + 8 is x = -5

An equation is an expression that shows how two or more numbers and variables are related using mathematical operations of addition, subtraction, multiplication, division, exponents and so on.

Given the equation:

3x - 12 = 7x + 8

Subtract 7x from both sides:

3x - 12 - 7x = 7x + 8 - 7x -4x - 12 = 8 (subtraction property of equality)

Add 12 to both sides:-4x - 12 + 12 = 8 + 12-4x = 20  (addition property of equality)

Divide both sides by -4:-4x / -4 = 20 / -4x = -5 (Division property of equality)

Therefore, based on the above, The solution to the equation is x = -5

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The solution shown in the graph is (-4, 0)

Here we have a system of equations graphed, the solutions of the system are all the points where the graphs of the functions (lines in this case) do intercept.

Then, in this case the solution is where the lines red and blue intercept, that happens at the point (-4, 0).

So that is the solution of the system of equations.

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Answer: X = (d-b) / (a-c)

This way this worded is weird but I think I got it

Step-by-step explanation:

Subtract B from both sides

ax = cx +d -b

Then subtract CX from both sides

ax -cx =d-b

Distributive Property

x(a-c) =d-b

Divide both sides by a-c

X = (d-b) / (a-c)

The required value of k is 9 for the vertical angles 130° and (8k +58).

Angles that are vertically opposite to one another at a certain vertex are formed by two straight lines intersecting. Angles that are vertically opposite to one another are equal.

Given that,

The measurement of one angle ∠a = 130°,

Also, measurement of another angle ∠b = (8k +58)°

Since, both the angles are vertical angles.

Therefore, by vertically opposite angle property, both the angles will be equal.

implies that,

∠a = ∠b

130 = 8k +58

⇒ 130 - 58 = 8k

⇒ 72 = 8k

⇒ k = 9

The value of k for the given angles is 9.

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Answer:

k=9

Step-by-step explanation:

you have to multiply 9 by 8 to get 72 then, add 72 to 58. which will equal 130*

The value of an invertible matrix p and a matrix of the form c is

\(C=\left[\begin{array}{cc}6+4i&0\\0&6-4i\end{array}\right]\)

What is an invertible matrix?

If a matrix meets the necessary requirements, it is said to be invertible because a matrix inversion operation can be performed on it. Any given square matrix A of order n × n is referred to be invertible if another n × n square matrix B exists such that,

AB = BA = In

B = A⁻¹

Where In is an identity matrix of order n × n.

As given,

\(\left[\begin{array}{cc}7&-17\\1&5\end{array}\right]\)

And 6 + 4i, 6 - 4i are eigen values of A.

Also given that eigen vector corresponding to λ = 6 + 4i is

\(\left[\begin{array}{c}4-i\\-i\end{array}\right]\)

And eigen vector corresponding to λ = 6 + 4i is

\(\left[\begin{array}{c}4+i\\i\end{array}\right]\)

Suppose that,

\(P=\left[\begin{array}{cc}4-i&4+i\\-i&i\end{array}\right]\)

The P diagonal A into diagonal from given by

\(P^-^1AP=C\\\\\)

\(C=\left[\begin{array}{cc}6+4i&0\\0&6-4i\end{array}\right]\)

Hence, the value of an invertible matrix p and a matrix of the form c has been obtained.

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Answer:

A one tailed test

Step-by-step explanation:

Chi-Square Distributions That Are Positively Skewed Have A Research Hypothesis That Is A One-Tailed Test.

Chi-Square distributions are positively skewed, with the degree of skew decreasing with increasing degrees of freedom.

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One-Tailed Test

Chi-Square distributions that are positively skewed have a research hypothesis that is a One-Tailed Test.

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