Evaluate the function for the following values:
f(1) =
f(2)=
f(3) =

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 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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Based on the distance walked by Nadia when she took her break, the statement that explains the distance already walked is C. The distance Nadia already walked is less because 3.4 - 1.6 = 1.8, and 1.6 < 1.8.

Nadia had already walked 1.6 miles by the time she took her break. This means that the distance she was still left to walk in the mile trail was:

= 3.4 - 1.6

= 1.8 miles

The distance that Nadia had already walked was 1.6 miles and yet she was left to walk 1.8 miles.

We can therefore conclude that the distance that Nadia already walked is less than the distance still to be walked.

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The distance Nadia already walked is less because 3.4 - 1.6 = 1.8, and 1.6 < 1.8 which is the correct answer would be an option (C).

Distance is calculated as the product of a person's movement and time.

Nadia took a rest after covering 1.6 miles of walking.

This indicates that she had the following distance to cover on the mile trail:

⇒ 3.4 - 1.6 = 1.8 miles

Nadia had already walked 1.6 miles, but she still had another 1.8 miles to go.

Therefore, the distance Nadia has already traveled is less than the distance that needs to be covered.

Hence, the correct answer would be an option (C).

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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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Answer:

the second answer

Step-by-step explanation:

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.

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

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: it should be the third one down

Step-by-step explanation:

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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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

:)

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:

180 degrees converted is 3.14159  i think

Step-by-step explanation:

Answer:

< y = 17 degrees.

Step-by-step explanation:

x + y = 180 - 112 = 68 (as there are 180 degrees in a triangle)

Also, x = 3y, so substituting for x in the first equation:

3y + y = 68

4y = 68

y = 17.

So,

x = 3*17 = 51,

Answer:

y=3x+5

Step-by-step explanation:

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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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.

Let:

Therefore:

Answer: 2x^2

Step-by-step explanation:

    (x+5)

 x (2x - 9)

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

X times 2x = 2x^2

Explanation

Step 1

apply distributive property

Step 2

add similar terms and order

so, the answer is

I hope this helps you

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.

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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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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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:

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

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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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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Answer:

D

Step-by-step explanation:

We have to replace the values in the equation

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