How do you decide if a decimal is a rational​ number?

A. Check whether the decimal never terminates nor repeats.
B. All decimals are irrational numbers.
C. Check whether the decimal terminates in 0s or repeats.
D. All decimals are rational numbers

The total time that Marwa spent exercising on her first day is 1 hour and 30 minutes.

To calculate the total time Marwa spent exercising, we need to add the time it took for jogging and walking.

The time taken for jogging can be calculated using the formula: time = distance/speed. Marwa jogged for 1.5 km at a speed of 6.0 km/h. Thus, the time taken for jogging is 1.5 km / 6.0 km/h = 0.25 hours or 15 minutes.

The time taken for walking can be calculated similarly: time = distance/speed. Marwa walked for 3.0 km at a speed of 4.0 km/h. Thus, the time taken for walking is 3.0 km / 4.0 km/h = 0.75 hours or 45 minutes.

To calculate the total time, we add the time for jogging and walking: 15 minutes + 45 minutes = 60 minutes or 1 hour.

On her first day, Marwa spent a total of 1 hour and 30 minutes exercising. She jogged for 15 minutes and walked for 45 minutes. It's important for her to continue this routine of exercising for 30 minutes every day to maintain her fitness as advised by the dietitian.

To know more about Time, visit

https://brainly.com/question/53809

#SPJ11

Answer:

yes it is a negative linear funtion

Step-by-step explanation:

Answer:

$24.11

Step-by-step explanation:

Answer:

A: -1

B: -1/3

they are neither parallel or perpendicular.

Step-by-step explanation:

A:

The slope is the gradient, which can be found by the change in y/ change in x.

For A, the change in y is from 4 to 6 = 2, and the change in x is from 3 to 1 = -2.

therefore by the equation above we have 2/-2 = -1 is the slope.

B:

Using the same method as before,

Change in Y is from 7 to 6 = -1

Change in X is from -6 to -3 = 3

So the gradient is -1/3

For them to be parallel, the gradients would have to be the same, which they are not. To be perpendicular, the gradients would have to be the negative reciprocal of each other, which they aren't, so they are neither perpendicular or parallel.

Hope this helps, let me know if you have any questions :)

The most useful transformation to estimate the Cobb-Douglas production function would be a logarithmic regression function.

The Cobb-Douglas production function is expressed as Q = lambda K^beta_1 L^beta_2 M^beta_3 e^u, where Q represents production and K, L, and M represent the factors of production. To estimate the model using regression analysis, it is common to take the natural logarithm of both sides of the equation. By applying the logarithmic transformation, the equation becomes ln(Q) = ln(lambda) + beta_1 ln(K) + beta_2 ln(L) + beta_3 ln(M) + u. This transformation linearizes the relationship between the dependent variable (ln(Q)) and the independent variables (ln(K), ln(L), ln(M)), making it suitable for linear regression analysis. Therefore, a logarithmic regression function would be the most useful transformation to estimate the Cobb-Douglas production function.

To learn more about regression click here: brainly.com/question/28178214
#SPJ11

Answer:

  47.5 cm

Step-by-step explanation:

You want the height of a trapezoid with bases of lengths 135 cm and 105 cm, and an area of 5700 cm².

The formula for the area of a trapezoid is ...

  A = 1/2(b1 +b2)h

Filling in the given values, we have ...

  5700 = 1/2(135 +105)h

  5700 = 120h

  h = 5700/120 = 47.5

The height of the tabletop is 47.5 cm.

<95141404393>

It is safe to say that it is nearly impossible for devices to be produced at zero production costs.

It is highly unlikely that any devices will be produced if the production cost is R0,00 (assuming R refers to South African Rand). There are various factors involved in the production of devices, including the cost of materials and labor, research and development, marketing, and distribution costs.

Even if we disregard the cost of materials and labor, there are still other production expenses that cannot be escaped, like facility costs, machinery, and intellectual property rights. Furthermore, marketing and distribution costs add considerable expenses.

Therefore, it is safe to say that it is nearly impossible for devices to be produced at zero production costs. Even if a device could somehow be developed without incurring any initial costs, other costs incurred during the device's production, such as power costs, facility rent, and salaries, would have to be covered. Therefore the reality is that there is always a cost involved in producing any device, and that cost must be factored in for any real-world production.

learn more about cost of production: https://brainly.com/question/29886282

#SPJ1

The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.

To calculate the amount of money that Maura spends on each scarf the following is carried out.

The amount of money that she spends on the scarf material = $5.50

The percentage selling price of each scarf = 600% of $5.50

That is ;

= 600/100 × 5.50/1

= 3300/100

= $33.

Therefore, each price that is sold by Maura would probably cost a total of $33.

Learn more about cost price here:

https://brainly.com/question/26008313

#SPJ1

Answer:

I'm sorry I haven't read the book in a long time but here are some tips.

Only talk about the events that susan would know about. Don't talk about john at home and things like that.

Make sure you use words that shows Susan is not happy like hate, stupid, etc. Not sure if you are girl or boy, but make sure you talk about all the little details that girls would think about. Like john getting chocolate on Susans dress. You could also talk more about the coin and what she was going to do with it(you can make something up cuz teachers give points for creativity.)

Sorry I couldn't help more, but I hope you get a good grade! :)

Answer:

X=83°

Step-by-step explanation:

we use cosine law

(8²+16²-17²)÷(2×16×8)=cosC

0.121=cosC

we use cosine inverse to find an angle

cosine^-1 0.121= 83°

The unction: f(x) = -√(x + 5 - 4)

Transformations: Horizontal shift of 4 units to the left, vertical flip about the x-axis.

Domain: x ≥ -1

Range: (-∞, 0]

Intercepts: x-intercept: None; y-intercept: (0, -1).

The function: f(x) = -√(x + 5 - 4)

Transformations: Horizontal shift: The function is shifted 4 units to the left, which means the vertex of the function is at x = -5 + 4 = -1.

Vertical shift: The function is reflected about the x-axis due to the negative sign in front of the square root, resulting in a vertical flip.

Stretch: There is no stretching or compressing factor since the square root is not multiplied by any constant.

Domain: The square root function is defined for non-negative real numbers. Since the square root is taken of (x + 5 - 4), the function will be defined as long as x + 5 - 4 ≥ 0, which simplifies to x ≥ -1.

Range: The function f(x) is always negative or zero, due to the negative sign in front of the square root. So the range of the function is (-∞, 0].

Intercepts: x-intercept: To find the x-intercept, we set f(x) = 0 and solve for x: -√(x + 5 - 4) = 0. Since the square root of a real number is never negative, there are no x-intercepts for this function.

y-intercept: To find the y-intercept, we set x = 0 and calculate f(0): f(0) = -√(0 + 5 - 4) = -√1 = -1. So the y-intercept is (0, -1).

Learn more about function at brainly.com/question/27996647

#SPJ1

Answer:

I think I just posted that last time. Check my timeline

The angle between vector A and vector -3A, when they are drawn from a common origin, is 180 degrees.

When we have two vectors drawn from a common origin, the angle between them can be determined using the dot product formula. The dot product of two vectors A and B is given by the equation:

A · B = |A| |B| cos θ

where |A| and |B| represent the magnitudes of vectors A and B, and θ represents the angle between them.

In this case, vector A and vector -3A have the same direction but different magnitudes. Since the dot product formula involves the magnitudes of the vectors, we can simplify the equation:

A · (-3A) = |A| |-3A| cos θ

-3|A|² = |-3A|² cos θ

9|A|² = 9|A|² cos θ

cos θ = 1

The equation shows that the cosine of the angle between the two vectors is equal to 1. The only angle that satisfies this condition is 0 degrees. However, we are interested in the angle when the vectors are drawn from a common origin, so we consider the opposite direction as well, which gives us a total angle of 180 degrees.

Therefore, the angle between vector A and vector -3A, when they are drawn from a common origin, is 180 degrees.

Learn more about angle

brainly.com/question/30147425

#SPJ11

The question asks us to compute the expected value (e[x]) of a random variable with a given density function. To do this, we integrate the product of the variable and the density function over its possible values. In this case, the density function is given as 5x^2, if x > 5. However, since the integral diverges at infinity, we can conclude that the expected value of x does not exist in this case.

To compute the expected value (e[x]) of a random variable with a density function, we integrate the product of the variable and the density function over its possible values. In this case, we have:

e[x] = ∫x * f(x) dx, for x > 5

where f(x) is the density function given as 5x^2, if x > 5.

Substituting f(x), we get:

e[x] = ∫x * 5x^2 dx, for x > 5

e[x] = 5 ∫x^3 dx, for x > 5

Integrating, we get:

e[x] = 5 * (x^4/4) + C, for x > 5

Since we are interested in values of x greater than 5, we can evaluate the definite integral as follows:

e[x] = 5 * [(x^4/4) - (5^4/4)], from x = 5 to infinity

e[x] = 5 * [(∞^4/4) - (5^4/4)]

However, since the integral diverges at infinity, we cannot evaluate it directly. This means that the expected value of x does not exist in this case.

Learn more about the expected value :

https://brainly.com/question/29093746

#SPJ11

The value of ∠E = 31 degrees and the value of ∠G = 149 degrees for the given triangle.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is indicated here by the symbol "."

The two triangles are similar thus the measure of its angle are also equal.

Using the similar triangle we have:

Angle D = Angle A = 82 degrees.

Angle F = 67 degrees

Using the sum of interior angles of triangle we have:

∠D + ∠F + ∠E = 180

82 + 67 + ∠E = 180

∠E = 31

From the figure we observe that,

∠E + ∠G = 180 (straight line)

31 + ∠G = 180

∠G = 149

Hence, the value of ∠E = 31 degrees and the value of ∠G = 149 degrees for the given triangle.

Learn more about triangle here:

https://brainly.com/question/2773823

#SPJ1

Answer:

Step-by-step explanation:

5/14 + (-14/5) =

5/14 - 14/5 =

(25 - 196)/70 =

-171/70

The curve is concave upward on this interval. In interval notation, the answer is:(0, pi/2)

To find dy/dx, we use the chain rule:

dy/dt = -sin(t)

dx/dt = -sin(2t)

Using the chain rule,

dy/dx = dy/dt / dx/dt = -sin(t) / sin(2t)

To find d2y/dx2, we can use the quotient rule:

d2y/dx2 = [(sin(2t) * cos(t)) - (-sin(t) * cos(2t))] / (sin(2t))^2

= [sin(t)cos(2t) - cos(t)sin(2t)] / (sin(2t))^2

= sin(t-2t) / (sin(2t))^2

= -sin(t) / (sin(2t))^2

To determine where the curve is concave upward, we need to find where d2y/dx2 > 0. Since sin(2t) is positive on the interval (0, pi), we can simplify the condition to:

d2y/dx2 = -sin(t) / (sin(2t))^2 > 0

Multiplying both sides by (sin(2t))^2 (which is positive), we get:

-sin(t) < 0

sin(t) > 0

This is true on the interval (0, pi/2). Therefore, the curve is concave upward on this interval.

In interval notation, the answer is: (0, pi/2)

To know more about  chain rule refer to

https://brainly.com/question/28972262

#SPJ11

Answer:I would say 12 I think

Step-by-step explanation:

Answer: 21.5 inches is the correct answer.

Answer:

Please check the explanation.

Step-by-step explanation:

Translating two units down means we need to subtract two units from the y-coordinate. i.e

(x, y) → (x, y-2)

We are given that the original point is (1, 2), and we have to find the image of (2, 4) obtained by translating 2 units down followed by a rotation of 180 counterclockwise.

                                                FOR (1, 2)

Given

First translation: Translating two units down

(x, y) → (x, y-2)

P(1, 2) → P'(1, 2-2) → P'(1, 0)

Second transformation: Rotation of 180 counterclockwise.

Rotation of 180 counterclockwise will make both 'x' and 'y' coordinates negative. i.e

(x, y) → (-x, -y)

Thus, after second transformation

P'(1, 0) → (-1, 0)

Thus, the image of (1, 2) obtained by translating 2 units down followed by a rotation of 180 counterclockwise will be: (-1, 0)

                                                    FOR (2, 4)

Given

First translation: Translating two units down

(x, y) → (x, y-2)

P(2, 4) → P'(2, 4-2) → P'(2, 2)

Second transformation: Rotation of 180 counterclockwise.

Rotation of 180 counterclockwise will make both 'x' and 'y' coordinates negative. i.e

(x, y) → (-x, -y)

Thus, after the second transformation

P'(2, 2) → (-2, -2)

Thus, the image of (2, 4) obtained by translating 2 units down followed by a rotation of 180 counterclockwise will be: (-2, -2)                                        

The range at which Dan's car can go is 3.33 miles

A car's range is the distance it can travel with the current amount of fuel in the tank.

The vehicle calculates the range based on the amount of fuel, how the accelerator and brakes are used, and how quickly the car is travelling.

The range of a car can be measured in the unit of distance.

Therefore the range of a car can be calculated as;

R = distance per gallon/ number of gallon.

Dan's car is 40mpg and has 12 gallons in it's tank.

Therefore it's range = 40/12

= 3.33miles.

therefore the range of Dan's car is 3.33miles

learn more about range of a car from

https://brainly.com/question/23423168

#SPJ1

Answer:

n = 13

Step-by-step explanation:

1/5(n + 3) + 4 = 3/10(2n - 2)

~Simplify both sides

1/5n + 3/5 + 4 = 3/5n - 3/5

~Combine like terms

1/5n + 23/5 = 3/5n - 3/5

~Subtract 23/5 to both sides

1/5n = 3/5n - 26/5

~Multiply 5 to both sides

n = 3n - 26

~Subtract 3n to both sides

-2n = -26

~Divide -2 to both sides

n = 13

Best of Luck!

Answer: A=x²+6x+8

Step-by-step explanation:

Since we are looking to find the area of the entire rectangle, we would use the formula \(A=lw\). \(l\) is length and \(w\) is width. You would approach this problem like any other area of the rectangle problem, except you are dealing with polynomials instead.

\(A=(x+2)(x+4)\)

\(A=x^2+4x+2x+8\)

\(A=x^2+6x+8\)

The most common way to find the missing side of a triangle with similar triangles is to use the property of similarity.

This property states that if two triangles have three angles that are equal or congruent, then the two triangles are similar.

To find the missing side, we have to find the ratio of the sides of the two triangles, and then we can use this ratio to find the unknown side. For example, if the triangle's sides are in the ratio 3:2:x, then we could set up the proportion 3/2=x/y, where y is the side of the other triangle. By solving for x, we can find the missing side of a triangle.

We can use the property of similarity to find the missing side of a triangle.

Learn more about congruent:

https://brainly.com/question/28262429

#SPJ4

A) The height 0.5 seconds after being dropped, the height of the rock is 6 feet.

B). The rock hits the ground approximately 0.8 seconds after being dropped.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

The graph shows the relationship between the height of the rock after t seconds.

The initial height of the rock, while dropping is 10 feet.

From the diagram:

A) The height 0.5 seconds after being dropped, the height of the rock is 6 feet.

B). The rock hits the ground approximately 0.8 seconds after being dropped.

Therefore, A = 6 feet and B = 0.8 seconds.

To learn more about the slope;

brainly.com/question/3605446

#SPJ9

The complete question:

A rock is dropped from a height of 10 feet.  The height of the rock is modeled by the graph shown.

Part A

What is the height of the rock 0.5 seconds after being dropped?

The height of the rock 0.5 seconds after being dropped is __ feet.

Question 2

Part B

To the nearest tenth of a second, how many seconds after being dropped does the rock hit the ground?

The rock hits the ground approximately ___ seconds after being dropped.

The graph is given in the image below.

Answer:

C

Step-by-step explanation:

Answer:

p = g - 50

Step-by-step explanation:

profit = income - expenses

income = 1 * g = g

expenses = $50

p = g - 50

If g = 50, then

p = 50 - 50 = 0

If she sells 50 glasses of lemonade, she breaks even. That means she makes no profit, but also she loses nothing.

If she sells more than 50 glasses, then she makes a profit.

Answer:

50 is the answer

Step-by-step explanation:

The correct answer is b. Each block should consist of volunteers who live in similar environments when it comes to mosquitoes.

Explanation:

In a randomized block design, blocks are formed to control for potential confounding factors or sources of variation that may affect the outcome of the experiment. By forming blocks based on similar environments when it comes to mosquitoes, the researchers ensure that any differences in the effectiveness of the bracelet and bug spray are not solely due to variations in mosquito exposure.

If the researchers were to choose option a (both the volunteers and researchers should be kept blind as to which block the volunteers are in), it would be related to blinding the participants and researchers to the treatment assignment, not forming blocks. This method does not address the need for controlling potential confounding factors.

Option c (each block should consist of volunteers who live in different environments when it comes to mosquitoes) would not be suitable because it would introduce additional variability and make it difficult to compare the effectiveness of the bracelet and bug spray.

Option d (each volunteer should be randomly assigned to a block) is not recommended in this case because it does not take into account potential confounding factors related to mosquito exposure.

Option e (volunteers in one block should use the bracelet, while volunteers in the other block should use bug spray) does not control for potential confounding factors, as individuals in different blocks may have different levels of mosquito exposure.

To know more about Correct visit-

brainly.com/question/30803782

#SPJ11