give two examples of functions from z to z that are one-to-one but not onto. 21. give two examples of functions from z to z that are onto but not one-to-one.

The vertex of the graphed function f(x) = [x - 4] + 3 is (4, 3).

The function f(x) = [x - 4] + 3 is in the form of an absolute value function, where the expression inside the absolute value brackets represents the input value shifted horizontally by 4 units to the right.

The constant term of 3 represents a vertical shift upwards by 3 units.

To find the vertex of this function, we need to determine the x-coordinate that corresponds to the minimum value of the absolute value function.

In this case, since the absolute value function is within brackets and not being multiplied or divided by a coefficient, the minimum value occurs at the point where the expression inside the brackets equals zero.

Therefore, setting x - 4 = 0, we find x = 4.

Substituting this x-value into the function, we find f(4) = [4 - 4] + 3 = 3. So the vertex of the graphed function is located at the point (4, 3), where x = 4 and y = 3. This means that the graph is shifted 4 units to the right and 3 units upward from the origin.

for such more questions on function

https://brainly.com/question/11624077

#SPJ8

Answer:

B. 63 degrees

Step-by-step explanation:

Its the same angle as the one above it.

I hope this helps :)

Have a nice day!

Answer:

B

Step-by-step explanation:

If lines AB and CD are parallel, then angle h is equal to 63 degrees

Answer: thats correct because 3x3 is 9 but 3x2 is 6 so if its 3 squared it correct but not 3x2

Step-by-step explanation: sorry if its confusing not sure if you want x^2 or x2

Step-by-step explanation:

a) The volume of the prism is

\(V = (n^2 - 1)×(n^2 - 1)×(5n)\)

\(\:\:\:\:= (n^4 - 2n^2 + 1)(5n)\)

\(\:\:\:\:=5n^5 - 10n^3 + 5n\)

b) If the dimensions L of the prism are tripled, the new volume will be

\(V' = (3L)^3 = 27L^3 = 27V\)

so it will increase by a factor of 27.

The area of the circular section is equal to 3π square meters. (Correct choice: C)

Herein we find the case of a circular section whose area must be found by the following formula:

A = (θ / 360) · π · R²

Where:

If we know that θ = 270° and R = 2 m, then the area of the circular section is:

A = (270 / 360) · π · (2 m)²

A = (3π / 4) · (2 m)²

A = 3π m²

To learn more on circular sections: https://brainly.com/question/13672518

#SPJ1

Answer:

1.2 dollars

Step-by-step explanation:

You have to divide the dollar count by the pound count.

So basically:

6/5

This gives you 1.2 dollars.

When you do unit rate, you just have to divide one value by the other value.

The value you divide by, and the value you divde, vary depending on what the question asks.

For instance, if this question asked what the pound count for 1 dollar would be, you would end up divide the 5 pounds by 6 dollars(5/6) instead of divideing the 6  dollars by 5 pounds like we did above(6/5).

Hope this helps!

Answer: 1.20 is your awnser

first divided 6.00 by 5

then you get $1.20 per pound

Step-by-step explanation:

Answer:

16 teaspoons

Step-by-step explanation:

4x4= 16 teaspoons

The amounts of oil and vinegar combined to make the salad dressing are

in a constant definite proportion.

The quantity of oil required to make 28 teaspoons of dressing is 16

teaspoons.

Reasons:

According to the question, 4 parts of oil are added to every 3 parts of

vinegar.

Therefore;

The ratio or proportion of oil to vinegar in the salad dressing is 4 : 3

4 : 3 = \(\dfrac{4}{3}\)

The proportion of oil to vinegar is therefore;

\(\mathrm{Amount \ of \ oil = \mathbf{\dfrac{4}{3} \times \ Amount \ of \ vinegar}}\)

Which gives;

\(\mathrm{Amount \ of \ vinegar= \dfrac{3}{4} \times \ Amount \ of \ oil}\)

Let x represent the amount of oil required to make 28 teaspoons of dressing,

we have;

\(\mathrm{Amount \ of \ vinegar \ required = \dfrac{3}{4} \times x}\)

Which gives;

\(\mathrm{x + \dfrac{3}{4} \times x = 28}\)

\(\mathrm{x + \dfrac{3}{4} \times x = \dfrac{7}{4} \times x = 28}\)

Therefore;

\(x = \dfrac{4}{7} \times 28 = \dfrac{4}{7} \times 7 \times 4 = 4 \times 4 = 16\)

The amount of oil required to make 28 teaspoons of dressing, x = 16 teaspoons.

Learn more here:

https://brainly.com/question/20320243

The image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).

A dilation with a center of (0,0) and a scale factor of 7 means that every point in the plane will be multiplied by a factor of 7 from the origin.

To find the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7, we can simply multiply the coordinates of L by the scale factor.

The coordinates of the image point L' will be:

L' = (-4 × 7, 0 × 7) = (-28, 0)

Therefore, the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).

for such more question dilation

https://brainly.com/question/4526933

#SPJ11

Answer:

t = I/(Pr)

Step-by-step explanation:

We divide P*r on both sides to isolate t and we get t=I/(P*r)

According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.

To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.

First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:

z1 = (264 - 264) / 75 = 0

z2 = (489 - 264) / 75 = 3

Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .

For more such questions on normal distribution

https://brainly.com/question/4079902

#SPJ8

According to the given graph, the construction belongs to an angle bisector because that's the definition of CD, that is, it divides the angle into two equal parts.

The numeric value of the exponential expression in this problem is given by the following option:

A. 2^12.

The exponential expression for this problem is defined as follows:

8^x/2^y.

8 is the third power of 2, hence:

8 = 2^3.

When a term is elevated to two of it's powers, the powers are multiplied, hence:

(2^3)^x = 2^(3x).

Meaning that the exponential expression is then written as follows:

8^x/2^y = 2^(3x)/2^y.

When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:

2^(3x)/2^y = 2^(3x - y).

As stated in the problem, the numeric value of the expression 3x - y is given as follows:

3x - y = 12.

Hence the entire expression is simplified as follows:

2^(3x - y) = 2^12.

Meaning that the correct option is given by option A.

More can be learned about exponential expressions at https://brainly.com/question/25537936

#SPJ1

Answer:A. 2^12.

Step-by-step explanation:i did it and got it right

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

Tο cοmplete the assignment, use the tried-and-true straightfοrward methοdοlοgy, the real variables, and any pertinent details frοm the preliminary and specialized questiοns. In respοnse, custοmers might be given anοther οppοrtunity tο range sample the prοducts. In the absence οf such changes, majοr advances in οur knοwledge οf prοgrammes will be lοst.

Here,

We must divide the tοtal cοst by the quantity οf cupcakes in οrder tο determine the unit cοst οf each οptiοn:

Twelve cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  Unit cοst: $29 fοr 12 cupcakes.

=>  $2.42 is the unit cοst per cupcake.

Tο make 24 cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=> 24 cupcakes equals $56 fοr the unit.

=>  $2.33 is the unit cοst per cupcake.

50 cupcakes =

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  $129 fοr a unit οf 50 cupcakes.

=>  Unit cοst: $2.58 fοr each cupcake

As a result, 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

To know more about unitary method  visit:

brainly.com/question/28276953

#SPJ1  

Based on the given assumptions and calculations, the net present value (NPV) of the investment in the new piece of equipment is -$27,045.76, indicating that the investment is not favorable.

To calculate the after-tax cash flows for each year and evaluate the investment decision, let's use the following information:

Assumptions:

Tax depreciation is straight-line over five years.

Pre-tax salvage value is $10,000 in Year 5 and $15,000 if the asset is scrapped in Year 4.

Tax on salvage value is 30% of the difference between salvage value and book value of the investment.

The cost of capital is 12%.

Given:

Initial investment cost = $50,000

Useful life of the equipment = 5 years

To calculate the depreciation expense each year, we divide the initial investment by the useful life:

Depreciation expense per year = Initial investment / Useful life

Depreciation expense per year = $50,000 / 5 = $10,000

Now, let's calculate the book value at the end of each year:

Year 1:

Book value = Initial investment - Depreciation expense per year

Book value \(= $50,000 - $10,000 = $40,000\)

Year 2:

Book value = Initial investment - (2 \(\times\) Depreciation expense per year)

Book value \(= $50,000 - (2 \times$10,000) = $30,000\)

Year 3:

Book value = Initial investment - (3 \(\times\) Depreciation expense per year)

Book value = $50,000 - (3 \(\times\) $10,000) = $20,000

Year 4:

Book value = Initial investment - (4 \(\times\) Depreciation expense per year)

Book value \(= $50,000 - (4 \times $10,000) = $10,000\)

Year 5:

Book value = Initial investment - (5 \(\times\) Depreciation expense per year)

Book value \(= $50,000 - (5 \times $10,000) = $0\)

Based on the assumptions, the salvage value is $10,000 in Year 5.

If the asset is scrapped in Year 4, the salvage value is $15,000.

To calculate the tax on salvage value, we need to find the difference between the salvage value and the book value and then multiply it by the tax rate:

Tax on salvage value = Tax rate \(\times\) (Salvage value - Book value)

For Year 5:

Tax on salvage value\(= 0.30 \times ($10,000 - $0) = $3,000\)

For Year 4 (if scrapped):

Tax on salvage value\(= 0.30 \times ($15,000 - $10,000) = $1,500\)

Now, let's calculate the after-tax cash flows for each year:

Year 1:

After-tax cash flow = Depreciation expense per year - Tax on salvage value

After-tax cash flow = $10,000 - $0 = $10,000

Year 2:

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $0 - $0 = $0

Year 3:

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $0 - $0 = $0

Year 4 (if scrapped):

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $15,000 - $1,500 = $13,500

Year 5:

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $10,000 - $3,000 = $7,000

Now, let's calculate the net present value (NPV) using the cost of capital of 12%.

We will discount each year's after-tax cash flow to its present value using the formula:

\(PV = CF / (1 + r)^t\)

Where:

PV = Present value

CF = Cash flow

r = Discount rate (cost of capital)

t = Time period (year)

NPV = PV Year 1 + PV Year 2 + PV Year 3 + PV Year 4 + PV Year 5 - Initial investment

Let's calculate the NPV:

PV Year 1 \(= $10,000 / (1 + 0.12)^1 = $8,928.57\)

PV Year 2 \(= $0 / (1 + 0.12)^2 = $0\)

PV Year 3 \(= $0 / (1 + 0.12)^3 = $0\)

PV Year 4 \(= $13,500 / (1 + 0.12)^4 = $9,551.28\)

PV Year 5 \(= $7,000 / (1 + 0.12)^5 = $4,474.39\)

NPV = $8,928.57 + $0 + $0 + $9,551.28 + $4,474.39 - $50,000

NPV = $22,954.24 - $50,000

NPV = -$27,045.76

The NPV is negative, which means that based on the given assumptions and cost of capital, the investment in the new piece of equipment would result in a net loss.

Therefore, the investment may not be favorable.

Please note that the calculations above are based on the given assumptions, and additional factors or considerations specific to the business should also be taken into account when making investment decisions.

For similar questions on assumptions.

https://brainly.com/question/15424356  

#SPJ8

The complete question may be like :

Assumptions: Tax depreciation is straight-line over five years. Pre-tax salvage value is $10,000 in Year 5 and $15,000 if the asset is scrapped in Year 4. Tax on salvage value is 30% of the difference between salvage value and book value of the investment. The cost of capital is 12%.

You are evaluating an investment in a new piece of equipment for your business. The initial investment cost is $50,000. The equipment is expected to have a useful life of five years.

Using the given assumptions, calculate the after-tax cash flows for each year and evaluate the investment decision by calculating the net present value (NPV) using the cost of capital of 12%.

B is true, so we can conclude ~~A by disjunctive syllogism.

This proof is based on the inference rules you provided.

D Proof: Premises:

C ---> (~D ---> ~X)

The Modus Ponens Rule was used.

Finally, X /D

Explanation: Using Modus Ponens, we can conclude that D ---> X from premises 1 and 2.

Because premise 2 is true, we can conclude X via modus tollens.

We can conclude that D must be false because X is true.

Evidence for C:

Conditions: A ---> B B

Modus Tollens is the rule that was used.

Finally, C / A

Explanation: Using Modus Tollens, we can conclude from premises 1 and 2 that A.

Because A is false in premise 1, we can conclude that B is true.

Because premise 2 is true, we can conclude C using disjunctive syllogism.

Proof for ~~A:

Premises:

A ---> ~D

~D ---> (~B v ~~A)

A

B

Rule used: Modus Ponens

Conclusion:

~~A /B

Explanation:

From premise 1 and 3, using Modus Ponens, we can conclude that ~D.

From premise 2 and ~D, using Modus Ponens, we can conclude that ~B v ~~A.

From premise 4, B is true, so we can conclude ~~A by disjunctive syllogism.

To learn more about syllogism.

https://brainly.com/question/21635821

#SPJ4

Answer:

the sample standard deviation and t distribution can be used

Step-by-step explanation:

Answer:

D. x=36

Step-by-step explanation:

3x-5=103

3x=103+5

3x=108

x=36

Answer:

(8,2)

Step-by-step explanation:

the third option

Answer:

i guess (8,2)

Step-by-step explanation:

it's where both lines intercept

The position vector of point P, MP, is given by MP = 6i - j.

To find the position vector of point P, which is the midpoint of NO, we can use the midpoint formula.

The midpoint formula states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by:

Midpoint (Mᵖ) = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

Let's find the position vector of point P using the given information:

Point N: N = 4i - 5j

Point O: O = 8i + 3j

Using the midpoint formula, we can find the coordinates of point P:

x-coordinate of P: (x₁ + x₂) / 2 = (4i + 8i) / 2 = 12i / 2 = 6i

y-coordinate of P: (y₁ + y₂) / 2 = (-5j + 3j) / 2 = -2j / 2 = -j

Therefore, the position vector of point P, MP, is given by:

MP = 6i - j

for such more question on vector

https://brainly.com/question/17157624

#SPJ8

The correct name for point T in the triangle is known as point of concurrency.

A point of concurrency in a triangle is a point where three lines, each passing through one vertex of the triangle and the opposite side's midpoint, intersect.

There are several such points of concurrency in a triangle, such as;

For the given figure or diagram, we can see clearly that the lines from point D, point F all intersect at point T, so we call this point of intersection a point of concurrency.

The marks on point T is known as a point of concurrency.

Learn more about point of concurrency here: https://brainly.com/question/29627367

#SPJ1

Answer:

D=35

Step-by-step explanation:

First, find a common multiple of both 15 and 6, we get 30, 14/6*5=70/6 meaning that 14/6=35/15

Answer:

The area of the triangle is \(A=6 \:units^2\).

Step-by-step explanation:

The area A of a triangle is given by the formula \(A=\frac{1}{2} bh\) where b is the base and h is the height of the triangle.

From the graph, we can see that the base is 3 units and the height is 4 units. Therefore, the area of the triangle is

\(A=\frac{1}{2} \cdot3\cdot 4=\frac{12}{2}=6 \:units^2\)

Answer:

x = 30/11

Step-by-step explanation:

Step 1: Write equation

11x - 4 = 34 - 8

Step 2: Solve for x

Add 4 on both sides: 11x = 34 - 8 + 4

Combine like terms: 11x = 30

Divide both sides by 11: x = 30/11

Answer:

x=30/11

Step-by-step explanation:

11x-4=34-8

11x-4=26

11x-4=26

11x=26+4

11x=26+4

11x=30

Divide both sides of the equation by 11

11x=30

= x=30/11

Answer:

The correct option is A. Parallel line.

Answer:

see below

Step-by-step explanation:

3 red sections, 2blue sections, and 1 purple section = 6 sections

P( red) = red/total = 3/6 =1/2

P( blue) = blue/total = 2/6 =1/3

P( purple) = purple/total = 1/6

Answer:

This is the answer

Step-by-step explanation:

Answer:

Here

Step-by-step explanation:

Make each one fraction like 5 red will be a 1/20 chance. After you make them all fractions, multiply the right ones(green or black).

Answer:

3.25

Step-by-step explanation:

2 power - 2 is 1/4 add that to 3 gives 3.25

Answer:

\(\huge\boxed{\sf f(-2) = 3.25}\)

Step-by-step explanation:

Given function is:

\(f(x) =2^x+3\)

Put x = -2

\(\displaystyle f(-2) = 2^{-2}+3\\\\f(-2) = \frac{1}{2^2} + 3\\\\f(-2) = \frac{1}{4} + 3\\\\f(-2) = 0.25+3\\\\f(-2) = 3.25\\\\\rule[225]{225}{2}\)

Hope this helped!