The computer rendering of a mural in a town’s square uses the function represented in the table to define the outline of a mountain in the town’s logo, where x is the distance in feet from the edge of the mural and f(x) is the distance from the ground in feet. How can the point (12, 16) be explained? The highest point of the mountain defined by the function is 12 feet. The highest point of the mountain defined by the function is 16 feet. The width of the base of the mountain defined by the function is 12 feet. The width of the base of the mountain defined by the function is 16 feet.

Answer:

volume of a cylindrical water tank = 70,650cm³

Step-by-step explanation:

volume of cylinder, V = πr²h

where π = 3.14

h = 100cm

r = ?

given is diameter = 30cm

r = d/2 = 30/2 = 15cm

substituting the values in the formula,

V = 3.14 * 15² * 100

= 3.14 * 225 * 100

= 70,650cm³                        

Answer:

How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm

Volume: 706,500 cm³

Step-by-step explanation:

How much space it would take up:

To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.

The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.

To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

A = π(15 cm)²

A = π(225 cm²)

A ≈ 706.86 cm²

So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.

The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.

Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.

Volume:

To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

First, we need to find the radius by dividing the diameter by 2:

Radius = 30 cm / 2 = 15 cm

Now we can calculate the volume:

V = π(15 cm)²(100 cm)

V = 3.14 * 225 cm² * 100 cm

V = 706,500 cm³

Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.

H_TM is reduced to HALT_TM and as such, HALT_TM is undecidable.

A language is referred to as Decidable or Recursive if there is a Turing machine that accepts and halts on every input string w. This tells us that every decidable language is Turing-Acceptable.

Now, we are told that the halting language is reducible to some language B. This means that it is an undecidability via reduction.

Now, Using the idea that “ If A is undecidable and reducible to B, then B is undecidable.” Suppose R decides HALT_TM, we will construct S to decide ATM .

S = “On input (M, B)

This means that H_TM is reduced to HALT_TM and as such, HALT_TM is undecidable.

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Answer:

b

Step-by-step explanation:

159.410 is greater than 159.399 with 0.011

11.0 is the same as 11.000

and so on

Our vertex has an x-coordinate of 0, so the axis of symmetry for our function is x = 0. Now, let's consider the zeros of our function. Graphically, the zeros of a function are the x-coordinates of the points where the function crosses the x-axis. This occurs where y = 0.

Answer:

Roberto can buy 7 videogames.

Step-by-step explanation:

Given that Roberto has $ 200 in spending money and he wants to buy some video games that cost $ 25.50 each, to determine the number of games he can buy, the following inequality must be resolved:

25.50X = 200

X = 200 / 25.50

X = 7.84

Thus, since the whole number is 7, with $ 200 you can buy 7 video games, and there will be $ 21.5 (200 - 178.5) left over.

The way the flashback in these paragraphs advance the plot is C. It introduces Evan's motivation for working in the garden with Grandfather.

The technique of flashback in storytelling involves interrupting the chronological order of events to depict an earlier event or scene. It uses time travel to furnish the audience with necessary backstory, context, or a deeper understanding of the characters.

The technique of flashbacks is frequently employed as a means of divulging previous occurrences, recollections, or incidents that hold significance to the present narrative being conveyed.

Hence, it can be seen from the given text that the use of flashback helps show the motivation which Evans had for working in the garden with Grandfather

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Answer:

its 2/3

Step-by-step explanation:

i have da proff

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Answer:

\(\sf A) \quad \dfrac{9}{100}\)

Step-by-step explanation:

Given:

Total number of marbles = 3 + 4 + 2 + 1 = 10

\(\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}\)

Probability of selecting a green marble on first pick:

\(\implies \sf P(green\:marble)=\dfrac{3}{10}\)

Probability of selecting a green marble on second pick:

\(\implies \sf P(green\:marble)=\dfrac{3}{10}\)

(as the 1st pick was replaced)

Therefore,

\(\implies \textsf{P(green marble) and P(green marble)} \sf =\dfrac{3}{10} \times \dfrac{3}{10}=\dfrac{9}{100}\)

Answer:

Step-by-step explanation:

L = Length

W = Width

W = 2L

   2W + 2L = 174

2(2L) + 2L = 174

            6L = 174

              L = 29 ft

W = 2(29) = 58 ft

Answer:

The answer is 44!

Step-by-step explanation:

hehe ywww!!

renegade???

Answer:4/9 We know, Probability = Favorable Outcome / Total Outcome

Here, Favorable Outcome (Number of Green Marbles) = 8

Total Outcome = 6 + 4 + 8 = 18

P = 8 /18 = 4/9

In short, Your Answer would be 4/9 or 0.44

Hope this helps!

Answer:

53.32114

Step-by-step explanation:

The value of the angle θ is approximately 24.2 degrees to 1 decimal place.

In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Given that tan θ = 23/52, we can find the value of the angle θ.

To find the value of θ, we can use the inverse tangent or arctan function. Taking the inverse tangent of both sides of the equation, we have:

θ = arctan(23/52)

Using a calculator or trigonometric tables, we can evaluate the inverse tangent of 23/52. The result is approximately 24.2 degrees.

Note that in the context of a right-angled triangle, the tangent function is defined for acute angles (less than 90 degrees). Since 0 degrees is the smallest possible angle, it is considered an acute angle in this case.

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Step-by-step explanation:

X^2 +4X +4=12 subtract the 12 from both sides

X^2 +4x-8= 0

now factor if possible since this equation is not factorable you can use the quadratic formula

Answer:

Yes

Step-by-step explanation:

Yes because because you can't simplify it more and it's just in fraction form decimal form the answer would be 0.42857142857143.

Answer:

One-Hundred Thousand Place value

Step-by-step explanation:

The cross section perpendicular to the base is a rectangle. The cross section parallel to the base is a pentagon similar to the pentagonal base. The solid is a cylinder.

Answer:

KL = 7, so B is the correct answer.

Answer:

In mathematics, the extrema of a function refer to the maximum and minimum values that the function can take on. These values can be local extrema, which occur within a certain range of the function, or global extrema, which are the maximum and minimum values over the entire domain of the function.

To find the extrema of a function, one can use a variety of techniques, such as taking the derivative of the function and setting it equal to zero to find the points of stationary values, or using the second derivative test to determine whether a stationary point is a local maximum or minimum.

Interpreting the extrema of a function can provide valuable information about the behavior of the function. For example, the global maximum of a function might represent the highest possible value that the function can attain, while the global minimum might represent the lowest possible value. Local extrema can also be important, as they can indicate changes in the slope or concavity of the function, which can have important implications for applications such as optimization or modeling real-world phenomena.

Answer:

Step-by-step explanation:

Let's break down the expression step by step:

Nine raised to the power of 1/3:

9^(1/3) = ∛9 = 2.0801

Twenty-seven raised to the power of 1/2:

√27 = 5.1962

Two raised to the power of 1/6:

∛2 = 1.1225

Combining the previous results:

(2.0801 * 5.1962) / 1.1225

Three raised to the power of 1/3:

∛3 = 1.4422

Combining the final result:

(2.0801 * 5.1962) / 1.1225 * 1.4422

(2.0801 * 5.1962) / 1.1225 * 1.4422 ≈ 9.7085

Therefore, the value of the given expression is approximately 9.7085.

Step-by-step explanation:

to control fever a doctor recommend that a child should be given one mg of certain medicine for every 0. 07 kg body weight if the those is proportional to the body weight of the child then the quantity of medicine for a child of body weight to 24.92 kg

Answer:

a) \(\frac{x^2-4}{(x + 7)(x - 4)(x+2)}\)

b)\(\frac{x^2-4x}{(x + 7)(x + 2)(x-4)}\)

Step-by-step explanation:

x² + 3x - 28

= x² + 7x - 4x -28

= x(x + 7) - 4(x + 7)

=

= x² + 7x + 2x + 14

= x(x + 7) + 2(x + 7)

= (x + 7)(x + 2)

LCM of x² + 3x - 28 and x² + 9x + 14 is

(x + 7)(x - 4)(x + 2)

We can write:

\(\frac{x-2}{x^2 + 3x - 28}\\ \\= \frac{x-2}{(x + 7)(x - 4)}\\\\= \frac{x-2}{(x + 7)(x - 4)} *\frac{x+2}{x+2} \\\\=\frac{(x-2)(x+2)}{(x + 7)(x - 4)(x+2)} \\\\=\frac{x^2-2^2}{(x + 7)(x - 4)(x+2)} \\\\=\frac{x^2-4}{(x + 7)(x - 4)(x+2)}\)

and

\(\frac{x}{x^2 + 9x + 14 }\\ \\= \frac{x}{(x + 7)(x + 2)}\\\\= \frac{x}{(x + 7)(x + 2)} *\frac{x-4}{x-4} \\\\= \frac{x(x-4)}{(x + 7)(x + 2)(x-4)} \\\\= \frac{x^2-4x}{(x + 7)(x + 2)(x-4)}\)

Answer:

4/5 divide 100 by the denominator in this case 5 get 20 as the unit percent and multiply by the numerator to get 80% which is 8/10 as a fraction.

Answer:

i might need more info unless this is the only questions

Step-by-step explanation:

I'm not sure what it means by "define the types of linear" (maybe theres a given function?), but to find the x intercept you need to make y 0. For example:

if we have a function

f(x) = 2x + 1

and we want to find the x intercept we substitute 0 to y

0 = 2x + 1

not

f(0) = ......

Answer:

To find the x-intercept of a given linear equation, plug in 0 for ‘y’ and solve for ‘x’. To find the y-intercept, plug 0 in for ‘x’ and solve for ‘y’. How do you find the Y intercept in a word problem? When a word problem involves a constant rate or speed and a beginning amount, it can be written in slope-intercept form: y=mx+b.

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

Let's solve your equation step-by-step.

2x+2=3+1

Step 1: Simplify both sides of the equation.

2x+2=3+1

2x+2=(3+1)(Combine Like Terms)

2x+2=4

2x+2=4

Step 2: Subtract 2 from both sides.

2x+2−2=4−2

2x=2

Step 3: Divide both sides by 2.

2x2=22

x=1

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)

Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:

Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.

Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.

Graph 4: (Not used)

Graph 5: (Not used)

Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.

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Answer:

A.) -7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

A² - B²

A = 3

B = -4

Step 2: Evaluate

Answer:

95cm

Step-by-step explanation:

45cm is the initial height

each year grow 10cm

growing time 5 years

45+(10 × 5)=95 cm

The amount Ashley gets in the 5th year will be 95 cm.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Ashley plants a tree 45cm tall it grows by 10 cm each year.

Now,

Since, In each year the plant grows by 10 cm each year.

So, In 5th year;

The length of plant = 45 + (10 x 5)

                             = 45 + 50

                             = 95 cm

Thus, The amount Ashley gets in the 5th year will be 95 cm.

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