You earn $15n$15n​ dollars for mowing $n$n​ lawns. How much do you earn for mowing 1 lawn? 7 lawns?

Answer:

we can't compare eachother because kilogram is the unit of mass and kilometer is the unit of length.i think you get the answer

Answer:

it is b

Step-by-step explanation:

Based on the information given in the exercise, you can identify that the number that represents the 100% is the following:

Then, let be "x" the percent asked in the exercise.

Using the information given, you can set up the following proportion:

Now you must solve for "x" in order to find its value. To do this, you can use this procedure:

1. Multiply both sides of the equation by 5.5:

2. Divide the numerator by the denominator:

The answer is: 80%

Answer:you need to show the diagram in order for me to

Step-by-step explanation:

Answer:

15 °C

Step-by-step explanation:

°C = (°F - 32) * (5/9)

Given that the initial temperature was 77 °F and it dropped by 10 °C, we can calculate the final temperature.

Initial temperature: 77 °F

Converting to Celsius:

°C = (77 - 32) * (5/9)

°C ≈ 25

The temperature dropped by 10 °C, so the final temperature is:

Final temperature = Initial temperature - Temperature drop

Final temperature ≈ 25 - 10 = 15 °C

Therefore, the temperature after the storm was approximately 15 °C.

x² + 3x - 2

(5)² + 3 × 5- 2

25 + 15 - 2

40 - 2

38...

The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.

1. The given function is f(x) = \(-2(x+4)^2\) + 1.

2. To find the maximum of the function, we need to determine the vertex of the parabola.

3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.

4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.

5. The x-coordinate of the vertex is given by h = -4.

6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.

7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.

8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).

9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.

10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.

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Person 3's payment exceeded person 2's payment by $20.

To find out how much more person 3 paid than person 2, we need to calculate the amounts each person paid based on the given ratio and then compare their payments.

The ratio given is 1:2:3, which means that person 1 gets 1 part, person 2 gets 2 parts, and person 3 gets 3 parts of the total amount.

Step 1: Calculate the total number of parts in the ratio.

1 + 2 + 3 = 6

Step 2: Determine the value of one part.

$120 (total amount) divided by 6 (total number of parts) = $20

Step 3: Calculate the payments for each person based on the ratio.

Person 1: 1 part * $20 = $20

Person 2: 2 parts * $20 = $40

Person 3: 3 parts * $20 = $60

Therefore, person 3 paid $60, while person 2 paid $40. To find out how much more person 3 paid than person 2, we subtract the amount person 2 paid from the amount person 3 paid:

$60 - $40 = $20

Hence, person 3 paid $20 more than person 2.

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The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

depends on the ammount

Step-by-step explanation:

Answer:The reciprocal of 2/3 is 3/2. The product of 2/3 and its reciprocal 3/2 is 1.

Step-by-step explanation:

The features related to vectors are listed below:

Case A: u' = (- 4√41 / 41, - 5√41/ 41)

Case B: Tip coordinantes of vector v: (x, y) = (10, 10)

Case C: r = 11.402

In this question we must determine three features related to vectors: (a) unit vector, (b) the definition of a vector based on the coordinates of its base and its tip, (c) The magnitude of a resulting vector.

Case A - Unit vector

Unit vectors are vectors with magnitude 1, for the case of vector u we have the following definition:

u' = u / ||u||

Where:

Please notice that the magnitude of the vector is determined by Pythagorean theorem:

r = √[(Δx)² + (Δy)²]

Where:

Thus, the unit vector of u is:

u' = (- 4, - 5) / √[(- 4)² + (- 5)²]

u' = (- 4, - 5) / √41

u' = (- 4 / √41, - 5 / √41)

u' = (- 4√41 / 41, - 5√41/ 41)

Case B - Definition of a vector

This can be found easily by vector subtraction:

v = Tip coordinates - Base coordinates

(3, 4) = (x, y) - (7, 6)

(x, y) = (3, 4) + (7, 6)

(x, y) = (10, 10)

Case C - Magnitude of a vector

The magnitude is found by means of Pyhtagorean theorem:

r = √[(- 4 - 3)² + (- 5 - 4)²]

r = √[(- 7)² + (- 9)²]

r = 11.402

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Answer:

B.

Step-by-step explanation:

To find the value of w in terms of x and y, we need to substitute the given values of x and y into the equation for w. First, we are given the equation \(x = 3(y + 2) - 1\).

Let's simplify this equation before substituting it into the equation for w. Expanding the equation, we have: \(x = 3y + 6 - 1 x = 3y + 5\) Now we can substitute the value of x into the equation for w. w \(= (x - 3y + 1) / 3\) Substituting the value of x from the earlier equation: w \(= (3y + 5 - 3y + 1) / 3 w = (6y + 6) / 3\)

At this point, we can further simplify the equation by dividing both the numerator and denominator by 3: w\(= 2y + 2\)Therefore, the value of w in terms of x and y is w\(= 2y + 2. I\)n summary: Starting with x \(= 3(y + 2) - 1,\)we substituted the value of x into the equation for w and simplified to obtain w \(= 2y + 2.\)

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cost of the white fabric is 2$ for 1-yard

cost of blue fabric is 6$ for 1 yard.

W = 2x and B = 6x

here x is the length of fabric and W and B is the total cost of white and blue fabric respectively

add both the equation

W + B = 2x + 6x

W +B = 8x

and it is given the budget is 18 $

so total cost W+B will be equal or less than the 18 $

so

so the answer is x <= 9/4

we have two-equations of line

y = 2x

now for x = 1 , y = 2(1) = 2

so point (x,y) is (1, 2)

now for x = 2, y = 2 (2) = 4

so point (x,y) is (2,4)

now the other line is

y = 6x

put x = 1 ,

y = 6(1) = 6

so the point (x,y) is (1, 6)

put x = 2

y = 6(2) = 12

point (x,y) is (2, 12)

Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB

A. The firm's short-run total cost curve can be calculated as TC = 2K + 4L. The short-run average cost curve function will be SAC = TC/Q, where Q is the output.

B. The firm's short-run marginal cost function is MC = 4/Q. The short-run total cost (STC) at 25 and 200 levels of output will be 800 and 2400 respectively. The short-run average cost (SAC) at 25 and 200 levels of output will be 32 and 12 respectively. The short-run marginal cost (SMC) at 25 and 200 levels of output will be 16 and 8 respectively.

C. The graph of the SAC and SMC curves is shown below.

SAC and SMC Graph

D. The SMC curve intersects the SAC curve at its lowest or minimum point because at this point, the SAC curve is at its most cost-efficient level, meaning that the firm's costs are minimized. This is because at this point, the marginal cost is lower than the average cost, meaning that the firm can produce additional units of output with a decreasing cost.

Answer:

The answer is A

Step-by-step explanation:

When you move v's tail to u's head, you see that the vectors align up.

The graph shows (u + v) for the given vectors u and v will be Graph A.

A vector is an object that has both a magnitude and a direction. Magnitude defines the size of the vector. It is represented by a line with an arrow, where the length of the line is the magnitude of the vector and the arrow shows the direction.

We have,

Four graphs and we have to tell which is the correct graph for (u + v).

So,

To add two vectors, add the corresponding components.

i.e. The sum of u and v  vector = ( u₁ + v₁, u₂ + v₂)

i.e.

Let u = (u₁, u₂)  and

v = (v₁, v₂)

Now,

(u + v) = ( u₁ + v₁, u₂ + v₂)

So,

From Graph A,

We have,

u = (1, 4) and v = (2, -2)

i.e.

u₁ = 1,

u₂ = 4,

v₁ = 2,

v₂ = -2

So,

Using the addition method of vector,

i.e.

(u + v) = ( u₁ + v₁, u₂ + v₂)

Substituting values,

(u + v) = [( 1 + 2), (4 + (-2))]

We get,

(u + v) = (3, 2)

So,

The graph A represents the correct points of (u +v).

Hence, we can say that the graph shows (u + v) for the given vectors u and v will be Graph A.

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Answer:

Step-by-step explanation:

The Central Limit Theorem states that as sample size increases, the sampling distribution of the sample mean becomes approximately normal, regardless of the shape of the population distribution, as long as the sample size is sufficiently large (usually n > 30).

In this case, the sample size is 48, which is larger than 30, so we can expect the sampling distribution of the sample mean to be approximately normal, even if the population distribution is skewed right. Therefore, the answer is "Normal".

Answer:

independent variable

Step-by-step explanation:

The amount of time you play a DVD doesn't depend on anything.

The variable "playing time in seconds of a DVD" is a quantitative variable, specifically a continuous variable.

A continuous variable can take any real value within a specific range. In this case, the playing time of a DVD can vary continuously in seconds, meaning it can be any non-negative real number. For example, a DVD can have a playing time of 90 seconds, 120 seconds, or even 121.7 seconds.

Quantitative variables, in general, are variables that represent numerical quantities or measurements. They can be further classified into two types: discrete and continuous. Discrete variables can only take specific, separate values (like the number of DVDs in a collection), while continuous variables can take any value within a range (like the playing time of a DVD).

In summary, the playing time in seconds of a DVD is a continuous quantitative variable because it can take any non-negative real value within a range.

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The probabilities are given as follows:

3. P(rides bus|owns a car) = 1/3.

4. P(red|organic) = 3/5.

The probability of an event in an experiment is obtained as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

For item 3, the outcomes are given as follows:

Hence the probability is:

P(rides bus|owns a car) = 8/24 = 1/3.

For item 4, the outcomes are given as follows:

The error was in identifying the total outcomes, and the probability is:

P(red|organic) = 18/30 = 3/5.

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Answer: 3,348 cubic inches

Step-by-step explanation:

1. Since we know that volume= length x width x height, then we can plug our values into this equation.

2. So, we would do volume= 9 x 12 x 21.

3. 9 x 12 = 108, and 108 x 21 =2,268.

4. Now that we have both of the volumes, we have to add them together.

5. 1,080 + 2,268 = 3,348

6. The combined volume is 3,348 cubic inches.

Answer:B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

               3x = -6 --->  x = -2

Answer:

the 4th one hope right

Step-by-step explanation:

Answer:

dy = -3

dx

equation of normal=

y=1/3x+1

Step-by-step explanation:

dy/dx=10x-3

=10(0)-3

= -3

equation of normal:

grad=1/3

y-1 =1/3

x-0

3y-3=x

y= 1/3x+1

\(\underline{\textbf{First part:}} \\\\\text{Given that,}\\\\~~~~~~y= 5x^2-3x+6\\\\\\\implies \dfrac{dy}{dx} = \dfrac{dy}{dx} (5x^2 -3x +6)\\ \\\\~~~~~~~~~~~=5\dfrac{d}{dx} x^2-3\dfrac{d}{dx} x + \dfrac{d}{dx} (6)\\\\\\~~~~~~~~~~~=5\cdot 2x-3+0\\\\\\~~~~~~~~~~~=10x-3\\\\\text{At (0,1)}\\\\\dfrac{dy}{dx} = 10(0) -3 \\\\~~~~~=0-3\\\\~~~~~=-3\)

\(\underline{\textbf{Second part:}}\\\\\)

\(\text{Equation of normal,}\\\\~~~~~~y-y_1 = -\dfrac{1}{\tfrac{dy}{dx}} (x-x_1)\\\\\\\implies y - 1 = -\dfrac 1{-3 }(x-0)\\\\\\\implies y-1 = \dfrac 13 x\\\\\\\implies y= \dfrac 13 x +1\)

Correct order of question is;

Consider the following statements:

p: Niagara Falls is in New York.

q: New York City is the state capital of New York.

r: New York City has more than 40 inches of snow in 2525.

The statement p is true, and the statement q is false. Represent each of the following by a formula. What is their truth value if r is true? What if r is false?

(a) If Niagara Falls is in New York, then New York City is the state capital of New York. statements by a formula.

(b) Niagara Falls is in New York only if New York City will have more than 40 inches of

(c) Niagara Falls is in New York or New York City is the state capital of New York implies that New York city will have more than 40 inches of snow in 2525

(d) For New York City to be the state capital of New York, it is necessary that New York city would have more than 40 inches of snow in 2525

(e) For Niagara Falls to be in New York, it is sufficient that New York City will have more than 40 inches of snow in 2525

Answer:

A) p⇒q is false

B) p⇒r is false if r is false

C) (p V q) ⇒r is false is r is false

D) q⇒r is true whether or not r is true or false.

E) r⇒p is true whether or not r is true or false.

Step-by-step explanation:

We are given;

p: Niagara falls is in Now york to be true

q: New york city is the slate capital of New york to be False

r: New York city will have more than 40 inches of snow in 2525.

A) it's trying to say that if p is true, then q is true. But from the given statements, it doesn't follow because we are told p is true and q is false. Thus, we can write it as;

p⇒q is false

B) They are trying to suggest that p is true when r is true.

From given statements, p is true but r could either be true or false. Thus, we can write this as;

p⇒r is is true if r is true

Also, p⇒r is false if r is false

C) The statement implies that;

(p V q) ⇒r. However, again since r could either be false or true, we can say that;

(p V q) ⇒r is true if r is true

And (p V q) ⇒r is false is r is false

D) This statement suggests that q is true with r being true.

This can be written as;

q⇒r is true whether or not r is true or false.

E) This statement suggests that for r to be true, then p is true.

Thus;

r⇒p is true whether or not r is true or false.

The mechanical advantage of the given machine is 40, Velocity ratio is 80 and efficiency is 0.5.

The given question is concerned with finding the mechanical advantage, velocity ratio and efficiency of a weight lifting machine.

The problem has provided the following information:

Weight of the object, W = 1 kN = 1000 NEffort applied, E = 25 NHeight through which the object is lifted, h = 100 mm = 0.1 m Distance through which the effort is applied, d = 8 m

We know that, mechanical advantage = load/effort = W/E and velocity ratio = distance moved by effort/distance moved by the load.Mechanical advantage

The mechanical advantage of the given machine is given by; Mechanical advantage = load/effort = W/E= 1000/25= 40Velocity ratioThe velocity ratio of the given machine is given by;

Velocity ratio = distance moved by effort/distance moved by the load.= d/h = 8/0.1= 80EfficiencyThe efficiency of the given machine is given by;

Efficiency = (load × distance moved by load) / (effort × distance moved by effort)Efficiency = (W × h) / (E × d)= (1000 × 0.1) / (25 × 8)= 0.5

Therefore, the mechanical advantage of the given machine is 40, velocity ratio is 80 and efficiency is 0.5.

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