Given g(x)= -5x+1, find g(1)

Answer: See below

Step-by-step explanation:

a) For call duration of 100min. Plan A costs less as we can see from the graph.

Plan A = $12 and Plan B = $18 So, it costs $6 less

b) For call minutes of 250 both plans cost the same.

After this point Plan A becomes costlier

Answer:

468

Step-by-step explanation:

and this is how you spell answers

The value of 78 × 6 is 468

Multiplication is the process of calculating the product of two or more numbers. The result of multiplication is called product.

If a × b = c , this means that a and b are the factors and c is the product.

For example if each student has 5 apples and there are 100 students in the camp, the total number of apples in the camp is

100 × 5 = 500 mangoes.

Similarly, 78 × 6

= 70 × 6 + 8 × 6

= 420 + 48

= 468

Therefore the product of 78 and 6 is 468

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The maximum amount of mushrooms Alberto can eat in a day is 4 kg.

Alberto can eat at most 4 kg of mushrooms in a day. If he picks 4 kg of mushrooms himself, he will not gain any monetary profit, and if he picks oranges, the monetary gain will be less than picking mushrooms.

He can sell mushrooms in the market for 514.79 per kg, whereas he can sell oranges for 38.7 per kg. It is evident that he will gain a lot of monetary profit by selling mushrooms rather than oranges.

Alberto can buy mushrooms from the market and sell them for a higher price. But it does not mean that he can eat more mushrooms. Alberto can consume a maximum of 4 kg of mushrooms whether he picks them himself or buys them from the market.

Therefore, the maximum amount of mushrooms Alberto can eat in a day is 4 kg.
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The distance between A and B is 15 units. It can be obained by distance formula.

What is distance formula?

If coordinates of two points are known then distance between these two points can be calculated by using ditance formula.

If cordinate of A is \((x_1,y_1)\) and coordinate of B is \((x_2,y_2)\) then the length AB is given by the following formula:

\(AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The distance formula can be derived by using Pythagoras theorem. It very useful and powerful tool because it can calculate distance between two points without any physical measurement. It is use to solve many problems of mathematics and physics.

Now, A(12,-2) and B(-3,-2). Hence, \(x_1=12,x_2=-3,y_1=-2,\ \text{and}\ y_2=-2\)Substitute the value in the above formula.

\(AB=\sqrt{(-3-12)^2+(-2-(-2))^2}\)

Now, solve it as follows:

\(AB=\sqrt{(-15)^2+(0)^2}\\=\sqrt{225}\\=15\)

Hence, the distance between A and B is 15 units.

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Answer:

To add fractions, find the LCD and then combine.

3/4 + (1/4−16)= −15

Step-by-step explanation:

The term that describes the situation is called: stabilizing selection.

Unlike disruptive selection (diversifying selection) that tends to favor extreme traits when changes occur, stabilizing selection is defined as changes in population genetics in which extreme traits are not favored, rather, traits that are of intermediate variants are most favored and selected for.

Stabilizing selection can simply be described as the exact opposite of disruptive selection.

In the scenario given, traits of producing fewer starlings or more are extreme traits that are not favored and have reduced fitness. Intermediate variants of producing moderate number of starlings that have high fitness demonstrates the type of selection that is referred by the term called: stabilizing selection.

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Answer:

Mohamed: 8 objectives

Zayed: 6 objectives

The marginal product of the 13th worker is 10 units of output.

Given, L represent the number of workers hired by a firm, and Q represent that firm's quantity of output.

Two points on the firm's production function are

(L = 12, Q = 122) and (L = 13, Q = 132).

we have to find the marginal product of the 13th worker,

As, to find the marginal product we find the slope,

so, Marginal Product of 13th Worker = (132 - 122)/(13 - 12)

Marginal Product = 10/1

Marginal Product = 10

So, the marginal product of the 13th worker is 10 units of output.

Hence, the marginal product of the 13th worker is 10 units of output.

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Answer:

A, C, and E I believe.

Step-by-step explanation:

the range of the function is at least $400 plus $50 for each month after the purchase. The average monthly cost of owning the cell phone can be represented as:

C(t) = 400 + 50t

Where t is the number of months after the purchase.

Since C(t) is a linear function, its range is all real numbers greater than or equal to 400, since the initial cost of the phone is 400 and the monthly cost is a positive constant. Therefore, the range of C(t) is:

Range of C(t) = {C(t) | C(t) ≥ 400} or [400, ∞)

In other words, the range of the function is all possible average monthly costs of owning the phone, which is at least $400 plus $50 for each month after the purchase.

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1. 3.2673 is the expected number of ticket holders that will fail to show for the flight.

2.  0.425  is the probability that the airline will not have enough seats for all the ticket holders who show for the flight.

P(airline will not have enough seats for all the ticket holders who show for the flight) = P(more than 267 people show up for the flight)

p = P(will show for flight) = 1 - 0.04 = 0.96

n = 278

µ = n * p = 278 * 0.96 = 266.88

   σ = \(\sqrt{ n*p* (1 - p)} = \sqrt{278 * 0.96 * 0.04} = 3.2673\)

P(X > 267)  =  P(X > 267.5)

                          p(x-  µ) / σ  > 267.5-  µ /σ

                   = P(Z> 267.5 – 266.88/ 3.2673 )

                   = P(Z > 0.19)

                    = 0.425.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means.  To understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

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Answer:

The equation of the parallel line is y = 2x  

Step-by-step explanation:

The slope-intercept form of the linear equation is:

y = m x + b, where

Parallel lines have the same slopes and different y-intercepts

∵ The equation of the given line is 4x - 2y = 6

→ To find the slope of this line re-arrange it to be in the

   slope-intercept form Subtract 4x from both sides to move x to

   the right side

∵ 4x - 4x - 2y = 6 - 4x

∴ -2y = 6 - 4x

→ Divide both sides by -2 to make the coefficient of y = 1

∵ \(\frac{-2y}{-2}=\frac{6}{-2}-\frac{4x}{-2}\)

∴ y = -3 - (-2x)

∴ y = -3 + 2x

→ Swithch -3 and 2x

∴ y = 2x - 3

→ Compare it by the form of the equation above to find m

∴ m = 2

∴ The slope of the given line is 2

∵ The two lines are parallel

∴ The slope of the parallel line is 2

→ Substitute it in the form of the equation above

∴ y = 2x + b

→ To find b substitute x and y in the equation by the coordinates

   of any point on the line

∵ The line passes through the point (1, 2)

∴ x = 1 and y = 2

∵ 2 = 2(1) + b

∴ 2 = 2 + b

→ Subtract 2 from both sides to find b

∴ 2 - 2 = 2 - 2 + b

∴ 0 = b

∴ y = 2x

The equation of the parallel line is y = 2x    

Answer:

I believe this is 10101

Answer:C. f(x)=7+5x

Step-by-step explanation:

12=5(1)+n

12=5+b

-b+12=5

-b=5-12

5-12=7

-b=7

f(x)=7+5x

I know this because I just answered this question and got it right

The equation of the function is f(x) = 7 + 5x option (C) f(x) = 7 + 5x is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The table is given,

From the data given in the table:

12 = 5(1)+n

12 = 5+b

b = 7

The function would be:

f(x) = 7 + 5x

Thus, the equation of the function is f(x) = 7 + 5x option (C) f(x) = 7 + 5x is correct.

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Approximately 40% of the scores on the standardized exam are greater than a score of 412.5

To find the score for which approximately 40% of the scores are greater, using the z-distribution table, follow these steps:

1. Identify the given values: mean (µ) = 400, standard deviation (σ) = 50, and the area to the right of the z-score (40% or 0.40).

2. Find the corresponding area to the left (1 - 0.40 = 0.60 or 60%).

3. Look up the z-score in the z-distribution table that corresponds to an area of 0.60 to the left. You will find a z-score of approximately 0.25.

4. Use the z-score formula to find the corresponding score (x):
  x = µ + (z × σ) = 400 + (0.25 × 50) = 400 + 12.5 = 412.5

Therefore, approximately 40% of the scores on the standardized exam are greater than a score of 412.5.

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The equation to represent the function is f"(x) = (-1/ x + 3 )+ 8

The asymptotes is (x, y) = (-3, 8)

Given,

Let the reciprocal function be:

f(x) = 1/x

First, it was reflected across the x-axis.

The rule is: (x,-y)

So, we have:

f'(x) = -1/x

Next, translated 3 units left.

The rule is: (x, y) => (x + 3, y)

So:

f"(x) = -1/ x + 3

Lastly, translated 8 units up.

The rule is: (x, y) => (x, y + 8)

So:

f"(x) = -1/ x + 3 + 8

To get the vertical asymptote, we simply equate the denominator to 0.

i.e.

x + 3 = 0

x = -3

To get the horizontal asymptote, we simply equate y to the constant.

i.e.

y = 8

(x, y) = (-3, 8)

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Answer: 18

Step-by-step explanation:

12 divided by 2 = 6

6 x 3 = 18

Answer:

the answer is 18

Step-by-step explanation:

this is because 12 divided by 2 = 6

6 x 3 = 18

Answer:

-1

Step-by-step explanation:

lim x tends to 4 (x^2-9x+20)/(x-4). (x^2-9x+20)(x-4)=x-5.

So the limit is 4-5=-1

The required two numbers are 6 and 8.

Let us denote the required numbers by c and d.

Given that the difference between two natural numbers is 2.

If we assume d > c, then d – c = 2

⇒ d = 2 + c → equation 1.

Also given that the sum of their squares is 100.

⇒ c² + d² = 100

⇒ c² + (2 + c)² = 100 (using the value of d from equation 1)

⇒ 2c² + 4c + 4 = 100

⇒ 2c² + 4c = 96

⇒ 2c(c+2) = 96

⇒ c(c+2) = 48

Using the factorization for 48, we get 6 × 8 = 48

⇒ c = 6

⇒ c+2 = 8

⇒ d = 8

Therefore, the required two numbers are 6 and 8.

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Replace x and y’all with the point and solve the equations

1. 2(0.5)+ 4(-6.75) = 1 + -27 = -26

This is true so is an answer.

2. Y = 0.5-7.5 = -7, -7 is not -6.75 so this is not true.

3. 2(-6.75) = 0.5 + 13

13.5 = 13.5

This is true so is also an answer.

4. -6.75 = 0.5(0.5) -7

-6.75 = 0.25-7

This is true so also an answer.

Answers are 1, 3 and 4

Answer:

Equation 1 and 4

Step-by-step explanation:

Point = (x,y) = (0.5,-6.75)

Hence,

x = 0.5 , y = -6.75

Equation 1:

2(0.5) + 4(-6.75) = -26

1 - 27 = -26

-26 = -26

This equation is true for the given point.

Equation 2:

-6.75 = 0.5 - 7.5

-6.75 ≠ -7

The equation is not true for the given point.

Equation 3:

2 (-6.75) = 0.5 + 13

-13.5 ≠ 13.5

The equation is not true for the given point.

Equation 4:

-6.75 = 0.5(0.5) - 7

-6.75 = 0.25 - 7

-6.75 = -6.75

This equation is true for the given point.

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

100:5

Step-by-step explanation:

The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

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Answer:

is there any thing else in that question

Answer:

20,615

Step-by-step explanation:

589 × 5 =2945

2945 × 7 = 20,615

The general solution to the given initial value problem is z(x) = A sin(x) + B cos(x) + \(e^{-6x}\)/6, where A and B are constants determined by the initial conditions.

The given equation z''(x) + z(x) = 4\(e^{-6x}\) is a nonhomogeneous linear second-order differential equation. To find the general solution, we first solve the associated homogeneous equation, which is z''(x) + z(x) = 0. The characteristic equation is\(r^2\) + 1 = 0, which has complex roots r = ±i. Therefore, the homogeneous solution is z_h(x) = A sin(x) + B cos(x), where A and B are arbitrary constants.

To find a particular solution to the nonhomogeneous equation, we assume a solution of the form z_p(x) = C\(e^{-6x}\), where C is a constant to be determined. Plugging this into the differential equation, we have C(-36\(e^{-6x}\)) + C\(e^{-6x}\) = 4\(e^{-6x}\). Equating the coefficients of \(e^{-6x}\), we find C = 4/(-36+1) = -4/35.

The general solution is then given by the sum of the homogeneous and particular solutions: z(x) = z_h(x) + z_p(x) = A sin(x) + B cos(x) - (4/35)\(e^{-6x}\).

Applying the initial conditions z(0) = 0 and z'(0) = 0, we have A + B - 4/35 = 0 and A - 4/35 = 0. Solving these equations, we find A = 4/35 and B = 4/35.

Therefore, the final solution to the initial value problem is z(x) = (4/35)sin(x) + (4/35)cos(x) - (4/35)\(e^{-6x}\).

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Answer: Y = -3x

Step-by-step explanation:not needed

Answer:

original box wasn't given... atleast send original surface area..

Step-by-step explanation:

^^^^^^!!!!!!!!!!^^^^^^

The range consists of four distinct y-values: 2, 4, -5, and -3.

The range of a relation refers to the set of all second components (y-values) of the ordered pairs in the relation. To find the range of the given relation, we need to extract the y-values from each ordered pair.

The given relation is {(-1, 2), (2, 4), (3, -5), (-4, -3)}.

The y-values in this relation are 2, 4, -5, and -3.

Therefore, the range of the relation is {2, 4, -5, -3}.

In other words, the range is the set of all possible y-values that correspond to the given x-values in the relation.

In math, range is a statistical measurement of dispersion, or how much a given data set is stretched out from smallest to largest. In a set of data, the range is the difference between the greatest and smallest value.

The range consists of four distinct y-values: 2, 4, -5, and -3.

To find the range in a set of numbers, you must gather your data, organize the data from least to greatest, then subtract the smallest value from the largest value. You can find a range of positive numbers and negative numbers.

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