You walk 2 miles in 1 half hour at the rate how long will it take you to walk 3 miles ?

To determine the number of ways the ant can move to the bottom left corner of the 4x6 checkerboard in exactly 10 moves, we can approach this problem using combinatorics and counting techniques.

Let's represent the ant's movements as a sequence of "U" (up), "D" (down), "L" (left), and "R" (right) corresponding to the directions the ant can move. Since the ant needs to reach the bottom left corner in exactly 10 moves, the sequence will consist of 10 characters.

Now, let's count the number of valid sequences. To reach the bottom left corner, the ant needs to move down six times and left four times. Therefore, we need to find the number of different arrangements of six "D" and four "L" in the sequence of 10 moves.

This can be calculated using combinations (binomial coefficients). The formula for combinations is:

C(n, k) = n! / (k! * (n - k)!)

In this case, we need to calculate C(10, 4) since we are selecting 4 positions for "L" from a total of 10 positions.

C(10, 4) = 10! / (4! * (10 - 4)!)

        = 10! / (4! * 6!)

        = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)

        = 210

Therefore, there are 210 different ways the ant can move to the bottom left corner of the 4x6 checkerboard in exactly 10 moves.

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The required answers are (1) the circumference of a circle with a diameter of 5.5 meters is 17.27 meters (2) the area of a circle with a diameter of 5.5 meters is 23.75 m² and (3) the circumference of a circle with a radius of 2.5 meters is 15.7 meters respectively.

What is the area of a circle?

The area of a circle is the space encircled or encompassed by its circumference. It has a square unit of measurement.

Every geometric shape has a distinct area. This area is the portion of the shape's two-dimensional plane that is occupied.

It is given by in the term of diameter

A = (π*d²)/4

1) Given, diameter (d) = 5.5 meters

∴Circumference of a circle = π*d = 3.14*5.5 = 17.27 meters

2) Given, diameter (d) = 5.5 meters

∴Area of a circle(A) = (π*d²)/4 = (3.14*5.5²)/4 = 23.75 m²

3) Given, radius(r) = 2.5 meters

∴Circumference of a circle = 2πr = 2*3.14*2.5 = 15.7 meters

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Answer:

exponential decay because the base is less than one

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

5x + 15 = 35

subtract 15 from each side of the equation:

5x = 20

divide both sides by 5:

x = 4

Answer:

serie de 20 años ya que primero te pide 60 años que se suman y después dice que la edad del hijo es el doble entonces lo normal sería que el hijo tenga 20

The probability of choosing a letter other than the letter a from a bag that contains the fifteen letters of the Indian city Palasa Kasibugga is 11/15.

According to the question,

We have the following information:

Words are:

Palasa Kasibugga

Now, total number of letters = 15

Number of a in these words = 4

Number of letters other than a = 11

We know that the following formula is used to find the probability of an event:

Probability = Number of favorable outcomes/total number of outcomes

Probability = 11/15

Hence, the probability of choosing a letter other than the letter a from a bag that contains the fifteen letters of the Indian city Palasa Kasibugga is 11/15.

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Answer:

-2/3

Step-by-step explanation:

8^(x+2) =8^-2x

since the base are the same we deal with the exponent

x+2=-2x

x= -2/3

Answer:

1. C) 3

2. D) -1

3. D) 7^2 - 8*2 - 16

4. B) 75

5. B) 6^2 + (2 - 8)*sqrt(81)

Step-by-step explanation:

1. (10 - (6-4)^2)/2

= (10 - 2^2)/2

= (10 - 4)/2

= 6/2

= 3

2. PEMDAS states that Multiplication is before Subtraction

8 - (5^2-7)/2

= 8 - (25-7)/2

= 8 - 18/2

= 8 - 9

= -1

3. D) 7^2 - (8*2) - 16

= 49 - 16 - 16

= 49 - 32

= 17

4. 3(2 + 3)^2

= 3(5)^2

= 3(25)

= 75

5. 6^2 + (2 - 8)*sqrt(81)

= 36 + (-6*9)

= 36 - 54

= -18

Answer:

The choose D. 6.48x10'-3

I hope I helped you^_^

Answer: i think its D.

Step-by-step explanation:

a) -85 degrees is a positive co-terminal angle of -445 degrees and -805 degrees is a negative co-terminal angle of -445 degrees.

b) 380 degrees is a positive co-terminal angle of 740 degrees and 20 degrees is a negative co-terminal angle of 740 degrees.

(a) -445 degrees:

To find a positive co-terminal angle, we can add 360 degrees to -445 degrees:

-445 + 360 = -85

To find a negative co-terminal angle, we can subtract 360 degrees from -445 degrees:

-445 - 360 = -805

(b) 740 degrees:

To find a positive co-terminal angle, we can subtract 360 degrees from 740 degrees:

740 - 360 = 380

To find a negative co-terminal angle, we can subtract 720 degrees from 740 degrees:

740 - 720 = 20

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The symbol ∪ represents the "union of events" in the context of probability and set theory.

The symbol ∪ indicates the union of events. This option corresponds to choice (d) in your given list. The union of events refers to the occurrence of at least one of the events in question. In other words, it combines the outcomes of two or more events into a single set, without any repetitions. This concept is essential in understanding probability theory, as it helps to analyze the likelihood of different events happening together or separately.

This means that it represents the set of all outcomes that belong to either one or both of the events being considered. For example, if event A represents rolling an even number on a die and event B represents rolling a number greater than 4, then the union of events A and B would be the set of outcomes {2, 4, 5, 6}. It is important to note that the union of events is different from the intersection of events, which represents the set of outcomes that belong to both events being considered. The sample space, on the other hand, represents the set of all possible outcomes of an experiment. Finally, the symbol ∑ represents the sum of probabilities of events, not the symbol ∪.

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\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The Correct choice is ~ C

\( \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}\)

In the given figure, the marked angles (x + 40° and x - 40°) forms a pair of co - interior angles ~

Hence, their sum is equal to ~ 180°

The least squares method minimizes the sum of the squared differences between the observed data points and the predicted values.

The least squares method is a mathematical technique used to find the best fit line or curve for a set of data points. It is commonly used in regression analysis to determine the relationship between two variables.

The method works by minimizing the sum of the squared differences between the observed data points and the predicted values from the line or curve. This sum is known as the residual sum of squares (RSS) or the sum of squared residuals (SSR).

The least squares method aims to find the line or curve that minimizes this sum, meaning it minimizes the overall error between the observed data and the predicted values. By minimizing the sum of squared differences, the method finds the line or curve that best represents the data.

In other words, the least squares method seeks to find the line or curve that provides the best balance between fitting the data closely and avoiding extreme deviations from the data points.

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The least squares method for determining the best fit minimizes the sum of the squared differences between the observed data points and the corresponding values predicted by the mathematical model or regression line.

In other words, it aims to minimize the sum of the squared residuals, where the residual is the difference between the observed data point and the predicted value. By minimizing the sum of squared residuals, the least squares method finds the line or curve that best fits the data by minimizing the overall error between the predicted values and the actual data.

Mathematically, the least squares method minimizes the objective function:

E = Σ(yᵢ - ŷᵢ)²

where yᵢ is the observed value, ŷᵢ is the predicted value, and the summation Σ is taken over all data points. The goal is to find the values of the parameters in the mathematical model that minimize this objective function, usually by differentiating it with respect to the parameters and setting the derivatives equal to zero.

By minimizing the sum of squared differences, the least squares method provides a way to estimate the parameters of a mathematical model that best represents the relationship between the independent and dependent variables in a data set.

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Answer:

12

Step-by-step explanation:

Answer:

24 hours

Step-by-step explanation:

160 x 18 = 2880

2880/120 = 24

An isosceles triangle is a triangle with two equal sides.

An isosceles triangle is one with two sides that are the same length. An isosceles triangle's two angles, opposite to equal sides, are equal in size.

Also, the two angles opposite the two equal sides are equal. In other words, we can say that “An isosceles triangle is a triangle which has two congruent sides".

Triangles are three-sided polygons that are categorized into three types based on their sides, such as:

Scalene triangle (All three sides are unequal)

Isosceles triangle (Only two sides are equal)

Equilateral triangle (All three sides are equal)

Thus, An isosceles triangle is a triangle with two equal sides.

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The equation (A) 8k-3=12 is not a quadratic equation as it is not in the form ax²+bx+c=0.

A quadratic equation is any algebraic expression that can be expressed in a standard form where x represents an unknown number, a, b, and c represent known values, and where a 0 is true.

The four methods for solving a quadratic issue are factoring, using square roots, completing the square, and the quadratic formula.

Form of a quadratic equation: ax²+bx+c=0

(A) 8k-3=12

Not in form of ax²+bx+c=0.

(B) 9r2 -25 =0

In form of ax²+bx+c=0.

(C) x2 - 5x + 3 = 0

In form of ax²+bx+c=0.

(D) (2x + 5) (x - 1) = - 6​

In form of ax²+bx+c=0.

Therefore, equation (A) 8k-3=12 is not a quadratic equation as it is not in the form ax²+bx+c=0.

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Answer:

option A is the answer.

Because the sum of two smaller sides of a traingle should be larger then third side. This condition is only fulfilled in option A.

15+25= 40 which is more then 38.

while in other options it's either equal or smaller then third side.

Answer:

3, 3

Step-by-step explanation:

The value of width 'w' of rectangular prism with l = n/a, h = n/a, v = n/a is given by, w = a/n.

We know that the volume of rectangular prism with length L and width W and Height H is given by,

V = L*W*H

Given that the Height of the rectangular prism, h = n/a

Length of the rectangular prism, l = n/a

Volume of the rectangular prism, v = n/a

let the width of the rectangular prism be 'w'.

So from the volume formula we get,

v = lwh

n/a = (n/a)*w*(n/a)

n/a = (n/a)²*w

w = (n/a)/(n/a)² = (n/a)*(a/n)² = a/n

Hence the value of w is a/n.

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Answer:

-2/3

Step-by-step explanation:

The true statements among the are that this is a volunteer Sample, and the results of this survey would have unknown biases.

The given statements, the following true statements can be identified:

1. This is a volunteer sample:

The statement that this is a volunteer sample is true. Since the faculty members are invited to participate through a mass email, it is up to them whether or not they choose to respond to the survey. The participation is voluntary, and individuals have the freedom to decide whether they want to take part.

2. The results of this survey would have unknown biases:

The statement that the results of this survey would have unknown biases is also true. In a volunteer sample, there is a potential for self-selection bias. It means that the respondents who choose to participate might have different characteristics or opinions compared to those who decide not to participate. Therefore, the survey results may not accurately represent the entire faculty population, and any biases present in the sample may impact the generalizability of the findings.

However, the other two statements are not true:

3. This is not a random sample since all of the faculty have an opportunity to participate:

In a random sample, participants are selected randomly from the entire population, ensuring that each member has an equal chance of being chosen. In this scenario, the invitation to participate is sent to all faculty members, which does not involve a random selection process. Therefore, this is not a random sample.

4. The results of this survey would be unbiased:

As mentioned earlier, a volunteer sample introduces the potential for self-selection bias. When individuals have the choice to participate or not, those who respond may differ from non-respondents in various ways. This discrepancy can introduce biases into the survey results, making it less likely to represent the entire faculty population accurately. Therefore, the statement that the results would be unbiased is not true.

the true statements among the given options are that this is a volunteer sample, and the results of this survey would have unknown biases.

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Answer:

0

Step-by-step explanation:

there are no lines os symmetry in this letter there are no straight lines that don't intersect

Answer:

0

Step-by-step explanation:

If you split it in half it is not a mirror image of itself..

Answer:

43˚

Step-by-step explanation:

If angle 5 is 134˚, then that means angle 2 must be 46.

Inside the triangle, we have three angles. A right angle of 90˚, angle 2 of 46˚ and the unknown angle 1. Since the total sum of the angles in a triangle must be 180, we can solve for angle 1:

180 = 90 + 46 + x

Therefore:

x = 43˚

Angle 1 is 43 degrees.

Hope this helps!

Answer:

The sum of 25 and 16 is 41.

Step-by-step explanation:

The sum of two numbers, 25 and 16, you can break apart the addends and add them separately to simplify the process. Here's how you can do it:

Break apart the numbers into their place values: For 25, you have 20 and 5, and for 16, you have 10 and 6. This step helps you work with the place values individually.

Add the tens place: In this case, you have 20 (from 25) and 10 (from 16). Adding them gives you 30.

Add the ones place: Now you add the ones place, which is 5 (from 25) and 6 (from 16). Adding them gives you 11.

Combine the sum of the tens place and the sum of the ones place: Take the sum of 30 (from step 2) and 11 (from step 3). Adding them together gives you 41.

So, the sun is 41.

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Answer:

-5

Step-by-step explanation:

negative 12 + positive 7 = 5

so....

it is basically -12 + 7

If repetitions of colors are allowed, there are 59,049 possible selections of collars for the 5 cats.

If Dave can choose from 9 different colors for each of his 5 cats, then he has 9 choices for the first cat, 9 for the second cat, and so on. To find the total number of possible selections, we can multiply the number of choices for each cat together:

9 x 9 x 9 x 9 x 9 = 59,049

In this case, there are 9 ways to choose the collar color for the first cat. Since Dave can choose from the same 9 colors for each of the 5 cats, so he has 9 choices for each cat. Therefore, by the principle of counting, the total number of ways to choose collars for all 5 cats is:

Therefore, if repetitions of colors are allowed, there are 59,049 possible selections of collars for the 5 cats.

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Answer: That would odd.

Answer:

77

Step-by-step explanation: