write the equation of the line in either form (slope intercept or point slope form) that contains points (4,-5) (8,1)

Answer:

c

Step-by-step explanation:

got it right

Step-by-step explanation:

the total weght could be 15,4_12,56=2,84

In a scenario where water in an open bowl evaporates at a rate proportional to the area of the water's surface, the depth of the water decreases at a constant rate, regardless of the bowl's shape.

Let's assume we have an open bowl filled with water. The rate of decrease in volume due to evaporation is directly proportional to the area of the water's surface. As water evaporates, the surface area decreases, causing the depth of the water to decrease as well.

To demonstrate that the depth decreases at a constant rate, we can consider two different time intervals. During the first time interval, let's say the water's surface area decreases by ΔA1, resulting in a corresponding decrease in depth by Δh1. In the second time interval, if the surface area decreases by ΔA2, the depth decreases by Δh2.

Since the rate of decrease in volume is proportional to the surface area, we can say that ΔV1/Δt = k1 * ΔA1 and ΔV2/Δt = k2 * ΔA2, where k1 and k2 are proportionality constants.

Since the depth is defined as the volume divided by the surface area, we have Δh1 = ΔV1 / ΔA1 and Δh2 = ΔV2 / ΔA2.

Combining these equations, we find that Δh1/Δt = k1 and Δh2/Δt = k2.

Therefore, we can conclude that the depth of the water decreases at a constant rate, regardless of the shape of the bowl, as long as the evaporation rate remains proportional to the surface area.

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Answer:

f(x) = - 2 (x + 2)² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 2, 6), thus

y = a(x - (- 2))² + 6, that is

y = a(x + 2)² + 6

To find a substitute the point (0, - 2) into the equation

- 2 = a(0 + 2)² + 6 ( subtract 6 from both sides )

- 8 = 4a ( divide both sides by 4 )

- 2 = a

f(x) = - 2(x + 2)² + 6 ← in vertex form

Step-by-step explanation:

Answer: 1

\((\frac{x^{a+b} }{x^{c} }) ^{a-b}.(\frac{x^{b+c} }{x^{a} }) ^{b-c} .(\frac{x^{c+a} }{x^{b} })^{c-a}\\\\= \frac{x^{(a+b)(a-b)} }{x^{c(a-b)} }.\frac{x^{(b+c)(b-c)} }{x^{a(b-c)} }.\frac{x^{(c+a)(c-a)} }{x^{b(c-a)} }\\\\=\frac{x^{a^{2}-b^{2} } }{x^{ac-bc} }.\frac{x^{b^{2}-c^{2} } }{x^{ab-ac} }.\frac{x^{c^{2}-a^{2} } }{x^{bc-ab} } \\\\=\frac{x^{a^{2}-b^{2}+b^{2}-c^{2}+c^{2}-a^{2} } }{x^{ac-bc+ab-ac+bc-ab} }\\\\=\frac{x^{0} }{x^{0} }=1\)

Step-by-step explanation:

The six stages of the data life cycle are complemented by six stages in data analysis, which involve various processes to extract insights and meaning from data.

Data analysis is a crucial component of the data life cycle, focusing on extracting valuable insights and meaning from collected data. The six stages of data analysis can be summarized as follows:

1. Data Exploration: This stage involves understanding the data, identifying patterns, and exploring its characteristics. It includes tasks such as data cleaning, data transformation, and initial data visualization.

2. Data Preparation: In this stage, data is prepared for analysis by selecting relevant variables, transforming data into a suitable format, and handling missing values or outliers. It aims to ensure data quality and consistency.

3. Data Modeling: Here, various statistical and machine learning techniques are applied to develop models that represent relationships within the data. This stage includes selecting appropriate models, training them on the data, and validating their performance.

4. Data Evaluation: The models and results obtained from the previous stage are evaluated to assess their accuracy, reliability, and suitability for the given problem. Evaluation metrics and techniques are employed to measure the performance of the models.

5. Data Interpretation: This stage involves interpreting the results of the analysis to extract meaningful insights and draw conclusions. It requires domain knowledge and expertise to understand the implications of the findings and their impact on decision-making.

6. Data Presentation: Finally, the insights and conclusions derived from the analysis are communicated effectively to stakeholders. This stage involves creating visualizations, reports, and presentations that convey the results in a clear and understandable manner.

By following these six stages of data analysis, organizations can derive actionable insights, make informed decisions, and drive improvements based on the findings from the data life cycle.

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The translation 1 unit left of f ( x ) =–7x+10  then g(x) is -7x + 3.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in its range(involving values of y) or in its domain(involving values of x).

The up and down movements are in the vertical direction by the y coordinate.

The left and right movements are in the horizontal direction by the x coordinate.

When translating a graph, adding units moves the graph to the left, and eliminating units moves the graph to the right.

hence we say that;

f(x) = –7x+10

g(x) = f(x + 1)

= –7(x + 1)+10

= -7x - 7 + 10

= -7x + 3

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Answer:

degenerate parabola & Line

Step-by-step explanation:

I took the test

The value of ΔH°(2000 K) - ΔH°(0 K) for H(g) is the enthalpy change of formation of H(g) at 2000 K minus the enthalpy change of formation of H(g) at 0 K.

The enthalpy change of formation (ΔH°f) is the heat energy released or absorbed when one mole of a substance is formed from its elements in their standard states. To calculate ΔH°(2000 K) for H(g), we need to find the enthalpy change of formation of H(g) at 2000 K.

At 2000 K, H(g) is in a gaseous state. To determine its enthalpy change of formation, we compare it to the elements in their standard states. The standard state of hydrogen is H₂(g) at 298 K and 1 atm. Thus, we need to consider the energy required to convert H₂(g) at 298 K and 1 atm to H(g) at 2000 K.

The enthalpy change of formation at a specific temperature can be calculated using the equation:

ΔH°(T₂) = ΔH°(T₁) + ∫Cp(T)dT

Where ΔH°(T₂) is the enthalpy change of formation at temperature T₂, ΔH°(T₁) is the enthalpy change of formation at temperature T₁ (in this case, 298 K), Cp(T) is the heat capacity of the substance as a function of temperature, and the integral is taken over the temperature range from T₁ to T₂.

To obtain an accurate calculation, we would need the specific heat capacity data for H(g) over the temperature range from 298 K to 2000 K. Unfortunately, without this data, we cannot provide a precise value for ΔH°(2000 K) for H(g).

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Either take the photo of that question or take screenshot and attach it. The question is not complete.

Answer:

\(10706.55\)

Step-by-step explanation:

From this starting equation \(521*411= 2*10n\)

We can multiply both sides to simplify it:

\(214131= 20n\)

Then dividing both sides by 20, we get n:

\(\frac{214131}{20}=n = 10706.55\)

Answer:

3 + 4n = 18

Step-by-step explanation:

hope this helps:))

Answer:

3(x + 4) = 18 + x

3x + 12 = 18 + x

3x - x = 18 - 12

2x = 6

x = 3

Step-by-step explanation:

Hoped this helped!

The first rider the displacement is, 17 km.

And the 2nd river the displacement is 20.22 km.

What is right triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and other angles of the right triangle.

It is asked in this problem is who's displacement is greater (not distance) it means that the shortest distance of starting and ending point with direction from start and end.

Here we have two triangle with two arm know for both.

So we have to find the 3rd arm for both triangle.

Now we have for a right triangle

a^2 + b^2 = c^2

For other triangle we know the cosine law of triangle is,

a^2 + b^2 - 2ab cosθ = c^2

θ is the opposite angle of c

For the first rider the displacement is,

c = \(c = \sqrt{a^2 + b^2} = \sqrt{8^2 + 15^2} = 17 km\\\)

For the 2nd river the displacement is

\(c = \sqrt{a^2-b^2 -2abcosheta}\),  θ = 120°

\(c = \sqrt{8^2 + 15^2 - 2ab cos(120)} \\c = \sqrt{289 - 240cos(120)} \\c = \sqrt{289 - (-120)} \\c = \sqrt{289 + 120}\\ c = \sqrt{409} \\c = 20.22km\)

Hence, the first rider the displacement is, 17 km.

And  the 2nd river the displacement is 20.22 km.

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Answer:

Step-by-step explanation:

You want the values of a, b and c in the quadratics (x^2 -81), (x^2 -4), (36x^2 -25), and (49x^2 -1).

Each of these quadratics is the difference of squares. It has the form ...

  ax^2 +c

where both 'a' and '-c' are perfect squares. The coefficient 'b' is zero.

Answer:

a. A Estela le entregaron (100 + 30 + 3) tejuelones = 133 tejuelones y aún necesita (138 - 133) tejuelones = 5 tejuelones para que reciba todo el pedido. b.  Don Antonio llevó (150 + 60 + 7) tejuelones = 217 tejuelones.

Step-by-step explanation:

¿Cuántos tejuelones le entregaron a Estela? ¿Cuántos tejuelones es la diferencia para que Estela reciba todo el pedido realizado?

Datos

Pedido de Estela:

138 tejuelones.

Le entregaron:

Dos (2) Paquetes de 50 tejuelones.

Dos (2) Paquetes de 15 tejuelones.

Tres (3) Sueltos.

Operación

Para determinar cuántos tejuelones le entregaron a Estela, efectuamos las siguientes operaciones para determinar el número de tejuelones que le entregaron:

Dos (2) Paquetes de 50 tejuelones

2 * 50 tejuelones = 100 tejuelones

Dos (2) Paquetes de 15 tejuelones

2 * 15 tejuelones = 30 tejuelones

Es decir, multiplicamos el número de paquetes por la cantidad de tejuelones que trae cada uno.

Ahora sumamos el total de ambas cantidades y le adicionamos los tres (3) tejuelones sueltos:

(100 + 30 + 3) tejuelones = 133 tejuelones.

Pero Estela pidió 138 tejuelones, así que aún necesita:

(138 - 133) tejuelones = 5 tejuelones para que reciba todo el pedido realizado.

Respuestas

¿Cuántos tejuelones le entregaron a Estela?

A Estela le entregaron (100 + 30 + 3) tejuelones = 133 tejuelones.

¿Cuántos tejuelones es la diferencia para que Estela reciba todo el pedido realizado?

Estela aún necesita (138 - 133) tejuelones = 5 tejuelones para que reciba todo el pedido.

¿Cuántos tejuelones llevó Don Antonio?

Datos

Pedido de Don Antonio

Tres (3) paquetes de 50 tejuelones.

Cuatro (4) paquetes de 15 tejuelones.

Siete (7) tejuelones sueltos.

Operaciones

Para determinar cuántos tejuelones le entregaron a Don Antonio, debemos multiplicar el número de paquetes por la cantidad de cada uno y sumar los siete (7) tejuelones sueltos, es decir, seguimos el mismo procedimiento de la pregunta anterior.

Tres (3) paquetes de 50 tejuelones

3 * 50 tejuelones = 150 tejuelones.

Cuatro (4) paquetes de 15 tejuelones

4 * 15 tejuelones = 60 tejuelones.

Ahora sumamos estas cantidades y le adicionamos los siete (7) tejuelones sueltos:

(150 + 60 + 7) tejuelones = 217 tejuelones.

Respuesta

¿Cuántos tejuelones llevó Don Antonio?

Entonces, considerando los resultados anteriores, tenemos que Don Antonio llevó (150 + 60 + 7) tejuelones = 217 tejuelones.

Answer:

7

Step-by-step explanation:

I hope this helps!

The quotient of −105 and −15 is 7. Therefore, option B is the correct answer.

We need to find the quotient of −105 and −15.

The number results from the division of one number by another.

Now, −105÷(-15)=7

Therefore, option B is the correct answer.

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The value of (1+tan2A)(1-sec A)(1+sec A) is 1.

We can simplify the given expression using the trigonometric identities:

tan2A = 2tanA/(1-tan²A) and sec A = 1/cos A.

To simplify the given expression (1+tan²A)(1-secA)(1+secA), we can start by using trigonometric identities to express the terms in the expression in terms of a single trigonometric function.

Substituting these values, we get:

(1+tan2A)(1-sec A)(1+sec A)

= [1+2tanA/(1-tan²A)][1-1/cos A][1+1/cos A]

= [1-tan²A+2tanA][cos A-1/cos²A]

= [sec²A+2tanA][cos²A-1/cos²A]

= [sec²A+2tanA][sin²A/cos²A]

= [1/cos²A+2sinA/cosA][sin²A/cos²A]

= sin²A/cos²A

= 1

Therefore, the value of (1+tan2A)(1-sec A)(1+sec A) is 1.

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The probability that the four s's are adjacent and the three a's are adjacent is 1/18

The total number of possible permutations of the letters in "sassafras" is 9!/(4!3!2!) = 1260, where 4! and 3! account for the permutations of the four s's and three a's, respectively, and 2! accounts for the permutations of the two remaining letters (f and r).

To calculate the number of permutations where the four s's are adjacent and the three a's are adjacent, we can consider them as a single block of seven letters: (ssssaaa). This block can be arranged in 7!/(4!3!) = 35 ways. The remaining two letters (f and r) can be placed in the remaining two positions in 2! ways.

Therefore, the number of permutations that satisfy the given conditions is 35 x 2! = 70.

The probability of selecting a permutation that satisfies both conditions is then 70/1260 = 1/18.

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Answer:

2 19/24 feet

Step-by-step explanation:

14 5/8 = 14 15/24

17 5/12 = 17 10/24 ==> 16 34/24

16 - 14 = 2

34/24 - 15/24 = 19/24

Answer = 2 19/24 feet

Hope this helps!

-The Business Man

The correct answer is option A which is the equations which represent relationship  between c and f is c = 7 / 3f.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division

Given that:-

From the given data we can see that the amount of flour required is \(9\dfrac{1}{3}\\) Cups or \(\dfrac{28}{3}\) Cups for making 4 cakes.

So the expression will be written as:-

\(9\dfrac{1}{3}f = 4c\)

\(\dfrac{28}{3\\}f = 4c\)

\(c = \dfrac{28}{3\times 4}f\)

c = \(\dfrac{7}{3}\)f

Therefore the correct answer is option A which is the equation that represents the relationship between c and f is c = 7 / 3f.

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Step-by-step explanation:

That is so because 1/3 is *not exactly equal to* 0.333333

0.333333 is an approximation of 1/3 which is correct to 6 decimal places.

So 0.333333 x 3 = 0.999999 which is approximately equal to 1.

If you want to be more accurate, you could write the fraction 1/3 everywhere and not write it in floating point form.

1/3 in floating point format will be 0.333333333…..and so on with infinite decimal places. This is because when you try to divide 1 by 3, you get a nonterminating recurring number after decimal point.

Its usually represented by a bar or dot on top of the recurring part

Ex. 1/3 = 0.3bar

(Sorry I can't get the bar on 3 by typing from keyboard)

But let's just say 0.3 bar is 0.333333…and so on to infinity.

When you multiply 0.3bar x 3 you get 0.9bar

= 0.999999….and so on to infinity.

These decimal point figures just a very great approximations of the fraction 1/3.

Hope this helps. Feel free to reply if you still have doubts.

Answer:

i think is (-3,2) because it look like in negative and posted

The floor area of the engineer's model of the sugar factory is 10.825 square feet.

To determine the floor area of the engineer's model of a sugar factory in square feet, we need to convert the given measurements from inches to feet. Since there are 12 inches in a foot, we can divide both dimensions by 12 to convert them.

The length of the model in feet is 30 inches / 12 = 2.5 feet, and the width is 52 inches / 12 = 4.33 feet.

To find the floor area, we multiply the length by the width:

Area = Length × Width

= 2.5 feet × 4.33 feet

= 10.825 square feet

It's important to note that the given measurements are not a standard aspect ratio or scale for a sugar factory. The given dimensions may be scaled down for the model's convenience, so the calculated floor area is only applicable to the scale of the model.

In actuality, a sugar factory would have much larger dimensions.

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The function decreases on the intervals (-∞, -1) and (1.5, ∞).

Hence the decreasing intervals are given as follows:

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Answer: A

Step-by-step explanation:

hope this helps

Answer:

it's 7 I think maybe I'm wrong

Assuming that the bacteria population doubles every 15 minutes, it will take around 70.6 minutes for the population to increase from 100 to 12,800.

If the population of bacteria doubles every 15 minutes, it means that the growth rate is exponential. The initial population is 100, and we want to find the time it takes for the population to reach 12,800.

To solve this problem, we can use the exponential growth formula:

N(t) = N0 * 2⁽ᵗ/ᵀ⁾

where:

N0 = initial population (100 bacteria)

N(t) = population at time t

t = time elapsed

T = time it takes for the population to double (15 minutes)

We want to find the time it takes for the population to reach 12,800 bacteria, so we can set N(t) to 12,800:

12,800 = 100 * 2⁽ᵗ/¹⁵⁾

Dividing both sides by 100:

128 = 2⁽ᵗ/¹⁵⁾

Taking the logarithm (base 2) of both sides:

log2(128) = t/15

t = 15 * log2(128)

Using a calculator, we can solve for t:

t ≈ 70.6 minutes

Therefore, it will take approximately 70.6 minutes for the population of bacteria to reach 12,800, if the population doubles every 15 minutes.

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