Sample Response: You would graph the equation f(x) = –x + 3 for input values less than 2. There would be an open circle at the point (2, 1) since the domain for the first piece does not include 2. You would then graph a horizontal line at f(x) = 3 for input values between 2 and 4. There would be a closed circle at (2, 3) and an open circle at (4, 3). Last, you would graph f(x) = 4 – 2x for input values greater than or equal to 4. There would be a closed circle at the point (4, –4) since 4 is in the domain of the third piece.

What did you include in your response? Check all that apply.

There would be an open circle at (2, 1).
There would be a closed circle at (2, 3).
There would be an open circle at (4, 3).
There would be a closed circle at (4, −4).
Endpoints that are not included in the domain of a particular piece of a function are represented by an open circle.

Answer:

2.4

Step-by-step explanation:

Answer:

Y=1/2x (-1,-2)

Step-by-step explanation:

The slope is 1/2 and there is no y intercept so it’s simply y= 1/2x

Answer:

y = 2x

(4,8)

Step-by-step explanation:

The linear function

y = 2x

For an another pair not named on the graph,

Just input a value for x!

Which means,

y = 2(4)

y = 8

(4,8) satisfied the function.

Hope this helps!!

Please give me brainliest if it is the correct answer :)

Answer:

50 oranges

Step-by-step explanation:

Convert the measurements for them to be the same ie 4kg to g

1kg=1000g. 4kgx1000=4000g

4000g is the mass of all oranges

1 orange=80g

? =4000g that is 4000/80

=50 oranges

Answer:

50 oranges

Step-by-step explanation:

Since each orange is measured in grams, we convert the 4 kg to g to start.

4 kg is equal to 4000 g.

Each orange weighs 80 g, so we divide 80g into 4000g.

80 divided by 4000 equals 50.

50 oranges are in the box.

I Hope This Helps!

Answer:

Step-by-step explanation:

m = 5/7  is the slope of the line on the graph .

What is slope in plain ?

A line or a part of a line that connects two locations is said to have a slope, which is a measure of how steep it is.

The ratio of how much y grows as x grows by a certain amount is known as a line's slope. The slope of a line indicates how steep it is, or how much y rises as x rises.

The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b.

point from given graph x = ( -7 , 0 ) and y = ( 0, 5 )

slope (m) =

m =

m = 5/7

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here you go im late tho...

The correct expression to solve for ΔH_f(H_2O)∘ for the given reaction is option (C) [ΔH_f(CO_2)∘ + 2(ΔH_f(H_2O)∘)] - ΔH_f(CH_4)∘

According to the given equation, ΔH_rxn∘ = ΔH_f(products)∘ - ΣΔH_f(reactants)∘, we can use the known enthalpies of formation (ΔH_f) of the products and reactants to calculate the enthalpy change of reaction.

In the reaction CH_4(g) + 2O_2(g) → CO_2(g) + 2H_2O(g), we want to solve for the enthalpy of formation of water, ΔH_f(H_2O)∘.

From the equation, we know that CO_2 is a product and CH_4is a reactant.

Therefore, we need to subtract the enthalpy of formation of CH_4from the sum of the enthalpy of formation of CO_2 and twice the enthalpy of formation of H_2O.

Hence, the correct expression is [ΔH_f(CO_2)∘ + 2(ΔH_f(H_2O)∘)] - ΔH_f(CH_4)∘, which is option C.

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Answer:

415.8

Step-by-step explanation:

8.40 x 40 is 336$. plus 7 x 4.20 (half) is 29.4$ and plus 8.40 x 2 (double time) is 16.8 x 3 which is 50.4$. you add these up and he earns 415.8$ (hopefully)

The non-permissible values for the equation 1/(1 - x) + x/4 = 2 are x = 1 and x = 4. The permissible values of x that satisfy the equation are x = (9 + √65)/2 and x = (9 - √65)/2.

To solve the equation 1/(1 - x) + x/4 = 2, we need to find the value of x that satisfies the equation. However, we should first identify any non-permissible values, which are values of x that would make the equation undefined.

In this equation, the non-permissible value occurs when the denominator becomes zero. So, we set the denominators equal to zero and solve for x:

1 - x = 0 (for the first fraction)

x - 4 = 0 (for the second fraction)

Solving these equations, we find that x = 1 and x = 4, respectively. These values make the denominators zero, which means they are non-permissible values.

Now, let's solve the equation by considering the permissible values:

To simplify the equation, we can find a common denominator of 4(1 - x). Multiplying each term by the common denominator, we get:

4 + x(1 - x) = 8(1 - x)

Expanding and rearranging the terms, we have:

4 + x - x² = 8 - 8x

Rearranging again, we get a quadratic equation:

x² - 9x + 4 = 0

To solve this quadratic equation, we can factor it or use the quadratic formula. However, since the question asks for exact values, we can use the quadratic formula:

x = (-(-9) ± √((-9)² - 4(1)(4)))/(2(1))

Simplifying this expression, we have:

x = (9 ± √(81 - 16))/2

x = (9 ± √65)/2

So, the solutions for the equation are x = (9 + √65)/2 and x = (9 - √65)/2. These are the exact values that satisfy the given equation.

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The area of the aperture storing light is 0.196 \(m^{2}\).

Mathematical figures which have a set of pre defined properties are known as shapes. For example, Square shape is a mathematical figure who has four sides and all of them are equal in length and all the four corner of square have an angle of 90 degree. Similarly if there a figure who  has been formed by the help of four lines of equal length but the corners are not 90 degrees then it will be Rhombus and not Square.

Now for the given question:

Diameter of the mirror=50 cm

we convert dia. unit in meter as area is asked in meter.

Dia.= \(\frac{50}{100}\)

      = \(\frac{1}{2}\)

Area of a circle=π× \((\frac{dia}{2} )^{2}\)

               =π×\((\frac{1}{4} )^{2}\)

Area= π/16

π=3.14

Area=\(\frac{3.14}{16}\)

       = 0.196 \(m^{2}\)

Hence area of the aperture is 0.196 \(m^{2}\).

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Step-by-step explanation:

1/2 : 11/2 :1     as given    ....multiply by 2 to get whole numbers

1 :11 : 2

Answer its quite easy i hope this will be right

1) 4.1833

2) 5.29+2.366=7.656

..Step-by-step explanation:

Slope=

\( \frac{7 - (- 2)}{3 - ( - 3)} \)

\( \frac{9}{6} \)

\( \frac{3}{2} \)

\(1.5\)

I believe this is how it's done

The number of choices for all the possible passwords are 43,056,000

Given, we have to make a password which includes 4 characters and 4 even digits. And none of the characters or digits can be used more than once. So, For the first character we have 26 choices as we can use any character from the alphabet. For the 2nd character we get 25 choices as we cant choose the first character already twice. Similarly, for 3rd character we get 24 choices and for 4th character we get 23 choices.

Now for the digits, we can only use even digits 0,2,4,6,8 with no repetition allowed. Therefore, for first digit we can choose any digit so we get 5 choices. For the 2nd digit we get 4 choices. For the 3rd digit we get 3 choices. For the 4th digit we get 2 choices.

Noe, to find all the possible combinations , we just need to multiply all the choices :

⇒ 26 x 25 x 24 x 23 x 5 x 4 x 3 x 2

⇒ 43,056,000

Therefore, the total number of all the possible combination of passwords according to the given condition is 43,056,000.

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Answer:

2.6 kilometers

Step-by-step explanation:

To find the circumference of a circle, we can use the formula:

Circumference = π * diameter

Given that the diameter of the volcanic crater is 840 meters, we can substitute this value into the formula:

Circumference = π * 840

Using the approximate value of π as 3.14159, we can calculate the circumference:

Circumference = 3.14159 * 840

Circumference ≈ 2643.1796 meters

To convert the circumference to kilometers, we divide the value by 1000:

Circumference in kilometers = 2643.1796 / 1000

Circumference ≈ 2.6432 kilometers

Therefore, the circumference of the rim of the volcanic crater is approximately 2.6 kilometers (rounded to 1 decimal place).

Answer:

2x+2y

Step-by-step explanation:

there are 2 x's so u can make it 1 by putting a 2 in front of it and same with y ... they have to be in alphabetical order and from greatest to least

that's how I was taught

Answer:

2(x+y)...... ......

Step-by-step explanation:

... ..........

Answer:

-128

Step-by-step explanation:

Given, f(x)=2x

3

−21x

2

+36x−20

∴f

′

(x)=6x

2

−42x+36

When f(x) is a maximum or a minimum, f

′

(x)=0

Hence, 6x

2

−42x+36=0

x

2

−7x+6=0

x

2

−6x−x+6=0

x(x−6)−1(x−6)=0

(x−6)(x−1)=0

x=1,6

Again f

′′

(x)=12x−42

=6(2x−7)

Now, when x=1,f

′′

(x)=−30 ....[negative]

And when x=6,f

′′

(x)=30 ....[positive]

Hence, f(x) is maximum for x=1 and minimum for x=6.

The maximum and minimum values of f(x) are

f(1)=2(1)

3

−21(1)

2

+36(1)−20

=2−21+36−20=−3

f(6)=2(6)

2

−21(6)

2

+36(6)−20

=432−756+216−20=−128

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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Answer:

\( y = - \frac{1}{2} x - 9\)

Step-by-step explanation:

\(y + 7 = - \frac{1}{2} (x + 4) \\ \\ y + 7 = - \frac{1}{2} x + (- \frac{1}{2}) \times 4 \\ \\ y = - \frac{1}{2} x - 2 - 7 \\ \\ y = - \frac{1}{2} x - 9\)

Answer:

the value of x is 59.

the value of y is 83.

Step-by-step explanation:

The common difference is 8.

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

here, we have,

We have given sequence:

8,16,24,32..

We have to find the common difference in the sequence.

The given sequence is:

8,16,24,32..

16-8=8

24-16 = 8

32-24 = 8

So, the common difference is 8.

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The statement "Quadrilaterals A and B are both squares" does not provide enough information to determine whether A and B are scale copies of one another.

To determine if two quadrilaterals are scale copies of each other, we need to compare their corresponding sides and angles. If the corresponding sides of two quadrilaterals are proportional and their corresponding angles are congruent, then they are scale copies of each other.

In this case, since both A and B are squares, we know that all of their angles are right angles (90 degrees). However, we do not have any information about the lengths of their sides. Without knowing the lengths of the sides of A and B, we cannot determine if they are scale copies of each other.

Therefore, the statement cannot be determined as true or false based on the given information.

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The triangle that has the coordinates as A(0,-4) B(0,-9) C(-2,-5) is; A scalene Triangle

The formula for the distance between two coordinates is;

D = √[(y₂ - y₁)² + (x₂ - x₁)²]

Thus;

Distance AB = √[(-9 + 4)² + (0 - 0)²]

Distance AB = √25

Distance AB = 5

Distance BC = √[(-5 + 9)² + (-2 - 0)²]

Distance BC = √20

Distance CA = √[(-4 + 5)² + (-2 - 0)²]

Distance CA = √5

Since the three sides all have different lengths, then they the triangle is said to be a scalene triangle.

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Answer: THE ANSWER IS 16

Step-by-step explanation: O+O+O+O+O+O+O+O. + O+O+O+O+O+O+O+O = 16

Answer:

16

Step-by-step explanation:

thanksssss

42.827  seconds do passengers experience weightlessness on such a flight

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The height h (in feet) of a plane after t seconds in a parabolic flight path can be modeled by h=−11t²+700t+21,000.

The passengers experience a weightless environment when the height of the plane is greater than or equal to 30,800 feet.

h=30800

30800=−11t²+700t+21,000.

−11t²+700t+21,000-30800=0

−11t²+700t−9800=0

11t²-700t+9800=0

a=11

b=-700

c=9800

Apply in quadratic formula

t=-(-700)±√(-700)²-4.11.9800/2.11

t=350±70√3/11

t=350+70×1.73/11

t=42.827

Hence, 42.827  seconds do passengers experience weightlessness on such a flight

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Answer:

I don't see the figures.

Step-by-step explanation:

Answer:

The answer is A. And please be my friend

Step-by-step explanation:

Answer:the answer is 9

Step-by-step explanation:

Answer:

r = 1

Step-by-step explanation:

We need to isolate r, so first subtract 1 from both sides to get 19r = 19. Divide both sides by 19 to get r = 1

Answer:

Option C is the correct option.

Step-by-step explanation:

√ 8 • √ 5

Calculate the product

\( = \sqrt{40} \)

Simplify the radical expression

\( = \sqrt{2 \times 2 \times 10} \)

\( = 2 \sqrt{10} \)

Hope this helps...

Best regards!!

Answer:

19.) \(\frac{y^3}{2x^{2} }\)

20.) \(\frac{3s}{7t^3}\)

21.) \(23a^9b^8\)

22.) \(34x^8y^{14}\)

Step-by-step explanation:

Glad to help

--Chris Jackson [High School Junior: Calculus Senior Honor Student]