Determine the last possible degree of the polynomial function shown

Answer:

Go ahead and color the nose red!

The solution is
[tex]y = \dfrac{n-9}{x}[/tex]

Step-by-step explanation:

[tex]\text{We have: }\\\\[/tex]

[tex]\rightarrow\; \dfrac{x}{y} + 9 = n\\\\\\\text{Subtract 9 from both sides:}\\\\\rightarrow\;\dfrac{x}{y} + 9 - 9 = n - 9\\\\[/tex]

[tex]\rightarrow\;\dfrac{x}{y} = n - 9\\\\[/tex]

Multiply both sides by y:

[tex]\rightarrow\; y \cdot \dfrac{x}{y} = y (n-9)\\\\\rightarrow\; x = y(n-9)\\\\\\[/tex]

[tex]\text{Divide both sides by (n-9)}:\\\\\\\rightarrow\; \dfrac{x}{n-9} = \dfrac{y (n-9)}{n-9}\\\\\\\rightarrow\; \dfrac{x}{n-9} = y\\\\\\[/tex]

By switching sides without changing the meaning, this can be re-written as :

[tex]y = \dfrac{x}{n-9} \\\\[/tex]

which of course means you can color the nose red

:)

Answer: 2x^2

Step-by-step explanation:

    (x+5)

 x (2x - 9)

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

X times 2x = 2x^2

Volume of the cone = 50.29 mm³

radius = r = ?

height = 3mm

slant height = 5mm

To get the radius, we would apply pythagoras' theorem:

Hypotenuse² = opposite² + adjacent²

hypotenuse = 5mm

opposite = 3mm

adjacent = radius = ?

5² = 3² + radius²

25 = 9 + radius²

25 - 9 = radius²

16 = radius²

radius = √16

radius = 4

Answer:

52:56 and 39:42

Step-by-step explanation:

The ratios equivalent to 13:14 are:

52:56

39:42

3:4 is not equivalent to 13:14 because 3 is not a multiple of 13.

Let:

Therefore:

The weight in pounds of the fourth dog, is 55 lbs.

What is weight?

The force exerted on an object by gravity is known as its weight. The gravitational force acting on the item is referred to as weight in several common textbooks. Some people refer to weight as a scalar quantity that measures the gravitational force's strength.

As given, Ben is walking with three dogs that weigh an average of 75 pounds each. Ben begins to walk with a fourth dog, and the average weight of the dogs decreases to 70 pounds.

The total weight of the first three dogs is 225 pounds.

This amount, plus the weight of the fourth dog, divided by total number of dogs, is the new average weight:

[tex]\frac{d+225}{4} = 70\\d + 225 = 280\\d = 280 - 225\\d = 55 lbs[/tex]

Therefore, the weight of the fourth dog is 55 lbs.

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The cost function of the box is C(x) = 2. x² + 160/x and the dimension that lead to the minimum cost is length = ∛40 ft., width = ∛40 ft., height = ∛5 ft.

Let:

x = the bottom's side length

h = the height of the box

Then, the surface area of top and bottom:

A1 = 2. x²

The surface area of vertical sides:

A2 = 4 x. h

The cost function is:

C(x)  = 2. x² . 1 + 4 x. h . 2

C(x) =  2. x² + 8 x. h

The volume of the box is:

V = x² . h

20 = x² . h

h = 20 / x²

Substitute h = 20 / x² into the cost function:

C(x) =  2. x² + 8 x. h

C(x) =  2. x² + 8 x. 20 / x²

C(x) = 2. x² + 160/x

At the minimum point, the derivative of a function is equal to zero. Hence,

C'(x) = 4x -160 / x² = 0

x³ = 40

x = ∛40

Substitute x = ∛40 to find the height:

h = 20 / x²

   = 2 . 10 / (∛4² . ∛10²)

   = ∛10 / ∛2 = ∛5

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Given,

The statement is "The height of a person and his weight".

Required/

Identify the statement is inverse or direct variation.

As the height of the person increase then its their weight is also increased.

Similarly,

The height of the person decrease then its their weight is also decreased.

Hence, it is direct variation.

As Marilyn wants to use a non-price competitive marketing strategy to gain more customers, the strategy that she might use is offering a promotion.

In marketing, the non-price competition refers to a marketing strategy in which a firm tries to distinguish its product or service from competing products on the basis of attributes like design and workmanship.

This competition most often occurs in an imperfectly competitive markets because it exists between producers that sell goods and services at same prices but competes to increase their respective market shares through different non-price measures such as marketing schemes and greater quality.

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About twice as likely is a 16-year-old driver to crash with two passengers as opposed to with no passengers.A 16 or 17-year-old driver has a higher risk of dying every mile they drive compared to operating a vehicle alone. increases by 44% when one of the passengers is under the age of 21. while transporting two passengers who are under 21 in doubles.

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16-year-old driver to crash with two passengers as opposed to with no passengers is about twice as likely.

The complete question is,

According to the chart, approximately how many times more likely is a 16-year-old driver to crash with two passengers as opposed to with no passengers?

just as likely

about twice as likely

about three times more likely

about four times more likely

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Answer: the answer is 31.25%

Step-by-step explanation:

Divide 5 by 16, which is 0.3125. The you take that number and multiply it by 100: 0.3125 * 100= 31.25. So there for the answer is 31.25%

The percent of his goal he has finished is 31.25%.

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

We need to calculate percentage here.

We have been given total distance and we have also been given the distance covered.

We have to find the percentage of his goal covered.

For this, we need his goal which is 16 miles and we know the goal covered by him which is 5 miles.

To find the percentage, we have to divide these both and multiply by 100.

Percentage of goal covered = Goal covered/total goal *100

= 5/16 * 100

= 31.25%

The percent of his goal is 31.25%.

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Explanation

Step 1

apply distributive property

Step 2

add similar terms and order

so, the answer is

I hope this helps you

Answer:

B.15.9

Step-by-step explanation:

Trigonometry

7.7/SIN(29)=15.9

Answer:

3.7 cm

Step-by-step explanation:

See attached worksheet

We have to replace the values in the equation

Since the square of a negative number is a positive number, (-4)^2 = +16

The equation models this scenario regarding the hiker is x - 450 = 2300.

Elevation is simply used to illustrate the height above the sea level.

In this case, the hiker descended 450 feet down to an elevation of 2300 feet.

The equation that can model the scenario will be x - 450 = 2300

where x = Initial elevation

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Given:

Alvin paddled for 2 hours with a 5-km/h current to reach a campsite.

Let n be the speed of boat.

Distance is calculated as,

The return trip against the same current took 7 hours.

Equate both the equations,

Answer: the speed of the boat is 9 mph.

Answer:

D

Step-by-step explanation:

Answer: it should be the third one down

Step-by-step explanation:

The intervals on which the function is increasing, decreasing and constant are (-5,-3) and (2,5) on increasing (-3,0) on decreasing and (0,2) on constant.

What is intervals?

An interval in math is the measured in terms of the  numbers. An interval to  includes all the numbers that come between two of  particular numbers. This is  the  range includes all of the  realistic numbers between those two of  numbers. Real numbers are the  any kind of number you can definitely think of.

Sol-by showing in the figure the function is increasing on the (-3,0)

Decreasing on (-5,-3) and (2,5)

Constant on (0,2)

Thus, the correct option is A
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Answer:

the second answer

Step-by-step explanation:

Answer:

Yes, because the last digit is 6, which is divisible by 2.

Step-by-step explanation:

The solution is, Yes, because the last digit is 6, which is divisible by 2.

Division is the process of splitting a number or an amount into equal parts.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

26 divisible by 2

i.e. 26/2 = 13

so, it is divisible.

now, we know that,

because the last digit is 6, which is divisible by 2.

Hence, The solution is, Yes, because the last digit is 6, which is divisible by 2.

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The probability of getting a green marble first and a red marble second exists 5/26.

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given: Red marbles = 3

Green marbles = 10

So, the total marbles = 3 + 10 = 13

Probability = Favorable outcomes  / Total outcomes

Since, here replacement is not allowed,

Therefore, the probability of getting a green marble and a red marble

= first red and second green + first green second red

= 3/13 × 10/12+ 10/13 × 3/12

= 2 × 3/13 × 10/12

= 30/78

= 5/13

The probability of getting a green marble first and a red marble second

= 10/13 × 3/12

= 30/156

= 5/26

Therefore, the probability of getting a green marble first and a red marble second exists 5/26.

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Tom will need to pay $93.60 for 36 cans of Coca-Cola.

A linear expression can be represented by a line. The standard form for this equation is: y=ax+b , for example, y=3x+2.

The question gives:

Tom bought 10 cans of Coca-cola drink at a cost of USD26.00. Here you can convert this text into an algebraic expression, see:

10x = 26, where x represents the unit cost.

You can find x, solving the previous algebraic expression. Thus,

10x=26

x=26/10

x=2.6

So, 1 can of Coca-Cola costs $2.60.

For knowing the cost total for 36 cans of Coca-Cola, you need to multiply 36 units by the unit cost ($2.6). See below:

36*2.6= $93.60

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The probability that the engine over heats and leaks is 0.0096

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

Probability is a metric used to express the possibility or chance that a particular event will occur. Probabilities can be expressed as fractions from 0 to 1, as well as percentages from 0% to 100%.

Engine leaks oil AND overheats,

hence P(Engine overheats) = P(Engine overheats) X P(Engine leaks oil) = 0.12 X 0.08 = 0.0096

Hence the probability of leaking of engine due to over heating is 0.0096

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Domain are the inputs of the function. They are the x values of the function

The function gives a parabola. This means the values of x will be from negative infinty to positve infinity

Plotting the graph:

Range are the outputs of the function. They are the y values of the function

From the graph, we see tip of the parabola starts at y = -50 and extends upwards

The y value will be from -50 to positive infinity

In order to find the values of the sides of the triangle you take into account the relation between sides and hypotenuse.

h: hypotenuse

c1: shorter leg

c2: longer leg

Longer leg c2 is 3 inches longer than c1:

c2 = c1 + 3

hypotenuse h is 6 inches longer than c1:

h = c1 + 6

The formula for the calculation of the hypotenuse is:

h² = c1² + c2²

you replace for h and c2 in terms of c1:

(c1 + 6)² = c1² + (c1 + 3)²

You solve the previous equation for c1:

c1² + 12c1 + 36 = c1² + c1² + 6c1 + 9

c1² - 6c1 - 27 = 0

the roots of the previous equation are:

(c1 - 9 )(c1 + 3) = 0

c1 = 9

c1 = -3

You take the positive number because there is no length of sides with negative values.

Then, c2 and h are:

c2 = c1 + 3 = 9 + 3 = 12

h = c1 + 6 = 9 + 6 = 15

Hence, shorter leg is 9 inches, longer leg 12 inches and hypotenuse 15 inches

Answer:

w = 9

Step-by-step explanation:

This is a 90-degree angle, so if you add both equations together, they will equal 90.

First, write the equation:

(4w - 7) + (7w - 2) = 90

Then you solve for w:

- add like factors

11w - 9 = 90

- add 9 to both sides

11w = 99

- divide both sides by 11

w = 9

So, the value of w is 9.

To check, plug your answer into the equation to check if it's true:

(4(9) - 7) + (7(9) - 2) = 90

(36-7) + (63-2) = 90

29 + 61 = 90

90 = 90

We are told that Julia keeps 255 masks on the wall and 45 on the display case, this means in total the number of masks she has is

The number of masks Julia keeps on the wall is 255 masks; therefore, the percentage of fo masks on the wall is

Hence, Julia keeps 85% of her mask collection on her wall.

Answer:

y=3x+5

Step-by-step explanation: