determine whether the following graph represent a function.

1. one to one function
2. function, but not one to one
3. Not a function

Determining the best path involves the evaluation of multiple paths to the same destination network and selecting the optimum or shortest path.

How is the best route to a network determined?

7 types of routing protocols -

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The area of the trapezoid is 169.6 cm² for the dimensions as 8 cm, 5.7 cm and 15.5 cm.

We are given that:

The dimensions of the trapezoid are:

Height = 8 cm

Shorter side = 5.7 cm

longer side = 15.5 cm

Area of the trapezoid will be:

A = (a + b) / 2 × h

Substituting the values in the formula, we get that:

A = (5.7 + 15.5) / 2 × 8 cm²

A = 21.2 × 8 cm²

A = 169.6 cm²

Therefore, we get that, the area of the trapezoid is 169.6 cm² for the dimensions as 8 cm, 5.7 cm and 15.5 cm.

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The required value of constant of variation, k does not exist for which x and y vary directly.

What is the constant of proportion?

A constant of proportion is illustrated as the ratio which relates two given quantities with each other in the relationship of proportion. Constant of proportion is also called constant variation, rate of change, and constant ratio.

Solving for the value of constant of variation

When a quantity varies directly with others, then we have a relation, y = kx, where k is the constant of the proportion      —-- 1

Given relation is y = 4x - 3

Comparing with equation 1, we get, that y does not vary directly with x

Hence, the required value of constant of variation does not exist.

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Answer: width is 49

Step-by-step explanation: 84-35= 49

Answer:

r<2

Step-by-step explanation:

r + (-5) < -3

r -5 < -3

r<-3+5

= r<2

Albert drove 5 miles farther than Tom if their speed were 50mi/h and 65 mi/hr.

Distance is the size or extent of the displacement between two places. Remember that the travel distance between two points is not the same as their distance from one another. The distance traveled is the total distance traveled to get from one place to another. Distance traveled is not a vector.

Tom's distance is calculated as

Put D= D₁, r = 50 miles per hour, and t = 2.5 hours in the distance formula

D₁ = (50 mi/h)·(2.5 h)

D₁ = 125 mi

Albert's distance is calculated as

Put D= D₂, r = 65 miles per hour, and t = 2 hours in the distance formula

D₂ = (65 mi/h)·(2 h)

D₂ = 130 mi

Comparing both the distances

Albert drove 130 -125 = 5 miles farther than Tom.

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Answer:

2x²-10x+3=0

Step-by-step explanation:

2x²+1 - 5(2x)+2=0

2x²+1 - 10x+2=0

Combine like terms.

2x²+1 - 10x+2=0

2x²-10x+3=0

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The value of x is 9 and the measure of AB is 27.

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

We need to Find x and AB if B is between A and C,

Given that AB=3x, BC=14, and AC=41.

AB + BC = AC

3x+14=41

3x=27

X=9

Now substitute to find the AB;

AB=3(9)

AB =27

Therefore the value of x is 9 and the measure of AB is 27.

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The probability that a nut selected from the jar at random will be a cashew = 0.29

The correct answer is option (B) 0.29

In this question,

A jar contains 150 peanuts and 60 cashews.

So, the total number of nuts = 150 + 60

                                               = 210

We need to find the probability that a nut selected from the jar at random will be a cashew.

To find the probability we use the formula,

P = number of possible outcomes / total number of outcomes

Let event A: a nut selected from the jar at random is a cashew

n(A) = 60

total number of nuts n(S) = 210

So, the probability that a nut selected from the jar at random will be a cashew,

P(A) = 60/210

P(A) = 0.29

Therefore, the probability that a nut selected from the jar at random will be a cashew = 0.29

The correct answer is option (B) 0.29

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Experimenters show a link between adult-onset diabetes and obesity is most likely a causal relationship. Option C is correct.

A causal relationship exists when one variable in a data set directly affects another variable.

As a result, one thing triggers another to happen. A causal link is also known as cause and effect.

According to studies and experiments, there is a clear causal link between adult-onset diabetes and obesity. A causal relationship demonstrates that one occurrence is the cause and the other is the outcome.

Researchers have found what is most likely a causal association between adult-onset diabetes and obesity.

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The volume of sphere and hemisphere is 7×10⁵ inches and 3.5×10⁵ inches respectively.

We are given the area of circle. From this given information, we will be calculating radius of the circle, which will be further required to calculate volume of sphere and hemisphere.

Area of circle = πr²

Keep the value in formula -

55π = πr²

Cancelling  π and taking square root to find the value of radius

r = √55

r = 7.4 inches

Now, volume of sphere is calculated by the formula -

Volume of sphere = 4/3 πr³

Volume of sphere = 4/3 π (55)³

Volume of sphere = 6.97×10⁵ inches

Now, volume of hemisphere is calculated by the formula -

Volume of hemisphere = 2/3 πr³

Volume of hemisphere = 2/3 π (55)³

Volume of hemisphere = 3.48×10⁵ inches

On rounding off, we get volume of sphere and hemisphere as 7×10⁵ inches and 3.5×10⁵ inches

Hence, the volume of sphere and hemisphere is 7×10⁵ inches and 3.5×10⁵ inches respectively.

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Answer:

1056 feet

Step-by-step explanation:

5280/5=1056

The amount A has in terms of d is 5d + 32.

The amount A has in terms of B is calculated as follows;

If a has 32 more than b, our equation becomes;

A = b + 32

The amount B has in terms of C is calculated as follows;

If  B has five times as much money as C and C has d dollars, our equation becomes;

B = 5C = 5d

The amount A has in terms of d is calculated as follows;

A = b + 32

A = 5d + 32

Thus, the amount A has in terms of d is 5d + 32.

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The number of times that (4 x 10⁴) is higher than (1.25 x 10²) is 3.2 × 10².

It should be noted that the information is to find the number of times that (4 x 10⁴) is higher than (1.25 x 10²).

This will be calculated by dividing the values we have.

= (4 × 10⁴) / (1.25 × 10²)

= 3.2 × 10²

In conclusion, the number of times that (4 x 10⁴) is higher than (1.25 x 10²) is 3.2 × 10².

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Answer: 25%

Step-by-step explanation:

0.25

25%

Answer:

Well, (2,3) is transformed into (-3,2)

(-3,-1) changes into (1,-3)

and (2,-1) changes into (1,2)

Step-by-step explanation:

Smort

Answer:

its equivilant

Step-by-step explanation:

Equivalent expressions are:

[tex]2^{3t}.2^t[/tex] / 4 and [tex]8^{t}.2^t[/tex] / [tex]2^{0.5}.8^{0.5}[/tex].

Options B and C are the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Solve each expression.

[tex]16^{t-0.5}[/tex]

= [tex]2^{4t - 2}[/tex]

Now,

1)

[tex]2^{3t}.2^t[/tex] / 16

= [tex]2^{4t}[/tex] / [tex]2^4[/tex]

= [tex]2^{4t - 4}[/tex]

2)

[tex]2^{3t}.2^t[/tex] / 4

= [tex]2^{4t}[/tex] / [tex]2^2[/tex]

= [tex]2^{4t - 2}[/tex]

3)

[tex]8^{t}.2^t[/tex] / [tex]2^{0.5}.8^{0.5}[/tex]

= [tex]2^{3t + t}[/tex] / [tex]2^{0.5 + 1.5}[/tex]

= [tex]2^{4t}[/tex] / [tex]2^2[/tex]

= [tex]2^{4t - 2}[/tex]

Thus,

Equivalent expressions are:

[tex]2^{3t}.2^t[/tex] / 4 and [tex]8^{t}.2^t[/tex] / [tex]2^{0.5}.8^{0.5}[/tex].

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Answer:

1+4×1

1+4

5

I think this is the correct answer if it isn't pls notify me

the number of pennies that Ella has in all is 500 pennies.

Number of stickers = 50

Cost of each sticker = 10 pennies

Now, we need to find the total pennies Ella has.

We will use multiplication to find the same.

So, by using the operation of multiplication, we get that:

Number of pennies = 10 × 50 pennies.

Number of pennies = 500 pennies.

Therefore, we get that, the number of pennies that Ella has in all is 500 pennies.

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The area of the quadrilateral ABCD is 26 square units

The quadrilateral ABCD is a trapezoid, and it  has the following parameters:

The lengths of these sides can be calculated using

d = √[(x2 - x1)^2 +(y2 - y1)^2]

So, we have

BC = √[(0 - 4)^2 +(3 + 1)^2] = 4√2

AD = √[(-5 - 4)^2 +(4 + 5)^2] = 9√2

CE = √[(2 - 4)^2 +(-3 + 1)^2] = 2√2

The area of the quadrilateral ABCD is then calculated as

Area = 0.5 * (BC + AD) * CE

This gives

Area = 0.5 * (4√2 + 9√2) * 2√2

Evaluate

Area = 26

Hence, the area of the quadrilateral ABCD is 26 square units

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The value of given expression 100−20.2×4.5 is 9.1 .

We have given an expression 100−20.2×4.5  .

Using BODMAS we will first solve the multiplication term than the subtraction term .

We will do multiplication operation which is given by

20.2 ×  4.5  = 90.9

Now , we will subtract 90.9 from 100 , we get

100 - 90.9 = 9.1

Hence , the value is 9.1

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A typical golf ball having a diameter of approximately 1.5 inches has a volume of 1.8 cubic inches.

Volume refers to the amount of space occupied by a three-dimensional object.

From the problem, the golf ball resembles the Spaceship Earth geosphere at Epcot in Disney World in Orlando, Florida which is a sphere.

If a typical golf ball has a diameter of approximately 1.5 inches, and radius is half of the diameter, then the radius of the golf ball is approximately 0.75 inches.

The volume of the golf ball can be calculated using the formula for the volume of a sphere given by:

V = 4/3 π r^3

V = 4/3 π (0.75 inches)^3

V = 4/3 π (0.421875 cubic inches)

V = 1.767145868 cubic inches

Rounding off to the nearest tenth,

V = 1.8 cubic inches

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33.80 was deducted from the original price costing 84.50.

84.50 × 40% = 33.80

That's it, the answer is H. 33.80

The full cost of purchasing an asset is known as the original price. When calculating an asset's original cost, all of the costs associated with buying and using the asset are taken into account.

Included in these expenses are the purchase price as well as things like commissions, shipping, appraisals, warranties, installation, and testing. Equipment, real estate, and security instruments are all examples of asset types that can be valued using original cost.

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The distance travelled by the item is 56.1 meters

As per the information provided that the initial speed was 0 m/s, final speed when the item touched the ground is 33 m/s and the total time it took to reach ground from the top of leaning tower of Pisa is 3.4 s

we need to find out the distance travelled by the item

let the distance travelled by the item be x

it can de found out using the formula given in the question itself

by substituting the values in the equation

s= 1/2 (u+v)t

x = 1/2(0+33)3.4

x= 1/2(112.2)

x= 56.1 m

hence, the distance travelled by the item is 56.1 meters

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Ahmad spent 159 minutes for the scooter ride

Ahmad paid $3 fee to start the scooter ride

She also paid 11 cents per minutes of the ride

The total bill at the end of the ride is $20.49

The first step is to convert 11 cents to dollars

= 11/100

= 0.11

Therefore the number of minutes can be calculated as follows

20.49 = 0.11x + 3

collect the like terms

20.49 - 3 = 0.11x

17.49 = 0.11x

x= 17.49/0.11

x= 159

Hence Ahmad spent 159 minutes for the scooter ride

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Using a function to express the number of pieces of the two lengths, Evie should have 3 pieces of ribbon of length 12.5 cm and 5 pieces of ribbon of length 8.5 cm.

In mathematics, a function is the representation of the relationship of a set of input(X) and its corresponding output(Y).

If Evie has a price of ribbon that is 80cm long that she wants to cut into lengths of exactly 8.5cm or 12.5cm and that no ribbon left over, then the function for this statement is:

12.5x + 8.5y = 80     ⇒     y = (80 - 12.5x)/8.5

where x is the number of pieces of length 12.5 cm and y is the number of pieces of length 8.5 cm, and x and y must be whole numbers(pieces of ribbon)

Listing down the possible integers for the value of x and solving for the corresponding y value.

x = 1 , y = 135/17

x = 2 , y = 110/17

x = 3 ,  y = 5

x = 4 , y = 60/17

x = 5 , y = 35/17

x = 6 , y = 10/17

Since when x = 3, y = 5 is the only ordered pair that is both integers, then it is the answer.

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Answer: 2000

12.5÷100=0.125

1600×0.125×10=2000

Answer:

5/12

Step-by-step explanation:

Answer:

24 is the least common factor of 5/8 - 5/12.