A student takes his 2 dogs for a walk. He lets them off their leash in a field where Edison runs at 10 m/s and Einstein runs at 8 m/s. The student determines the angle between the dogs is 25°, how far are the dogs from each other in 5 seconds?

Answer:

78

Step-by-step explanation:

Answer:

31.2

Step-by-step explanation:

7.8x4=31.2

so he got in total of 31.2 out of 40 if all test is combined

The Values of (a+b)ab are undefined.

Given that, a = 3an and db = -2We need to find the values of (a+b)

Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1

From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),

we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0

Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined

Therefore, the values of (a+b)ab are undefined.

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Answer:

D

Step-by-step explanation:

you have to multiply the scale model by 12

Answer:

D. 384cm

Step-by-step explanation:

1:12

32:×

12×32

=384cm

Answer:

2

Step-by-step explanation:

x + 2y = 14

2y = -x + 14

y = -1/2 x + 7

m = -1/2

product of slopes is -1

so perpendicular slope is 2

Answer:

If you know that Angle X and Angle Y are complementary angles, X+Y = 90

Then we translate the sentence "angle x is 8 times larger than angle Y" into mathematical terms.  is means equal, and 8 times means multiplication.  This gives us our second equation

X = 8Y  

We then use the property of substitution to combine the equations into a solvable system.  if X = 8Y and X + Y = 90, we can say that 8Y + Y = 90.  

combining like terms, we have 9Y = 90.  Y then equals 10.  

We then substitute back into the original X = 8Y to get X = 8*10.  X = 80.

The final answer is X = 80 degrees and Y equals 10 degrees

Step-by-step explanation:

Answer:

i think its 64

Step-by-step explanation:

The value of 11p10 is 39,916,800.If "p" represents the                  permutation function, typically denoted as "P(n, r)" or "nPr," it signifies the number of ways to arrange "r" objects taken from a set of "n" distinct objects without repetition.

The value of 11p10 can be determined by applying the concept of permutations. In mathematics, permutations represent the number of ways to arrange a set of objects in a particular order.

In the expression 11p10, the number before "p" (11) represents the total number of objects, while the number after "p" (10) represents the number of objects to be arranged.

Using the formula for permutations, the value of 11p10 can be calculated as:

11p10 = 11! / (11 - 10)!

= 11! / 1!

Here, the exclamation mark denotes the factorial function, which means multiplying a number by all positive integers less than itself down to 1.

Simplifying further:

11! / 1! = 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 / 1 = 39,916,800.

In this case, 11p10 would represent the number of permutations of 10 objects taken from a set of 11 objects. However, without more details or the specific values of "n" and "r," the numerical value cannot be determined.

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Answer:here for the comments

Step-by-step explanation:

Answer:

The answer is 40.3 times greater

Step-by-step explanation:

Answer:

5.4

Step-by-step explanation:

5^2+2^2=29

square root of 29=5.4

Answer:

416 cm2

Step-by-step explanation:

The formula for surface area of prism.

2Ab+ Pb*h

2(1/2)(12)(8)+ 32*10

= 96+320

= 416 cm2

if my answer helps please mark as brainliest.

Ellen renovates his square farmhouse foyer that has a side of 15 feet. Therefore, the area of Ellen's square farmhouse foyer is 225 square feet.

The area of Ellen's square farmhouse foyer, with a side of 15 feet, is 225 square feet.

To find the area of a square, you need to multiply the length of one side by itself.

In this case, the side of the square foyer is 15 feet, so you simply need to multiply 15 by 15.

15 x 15 = 225

Therefore, the area of Ellen's square farmhouse foyer is 225 square feet. This measurement can be useful for determining how much flooring, paint, or other materials are needed to complete the renovation project.

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Answer:

6

Step-by-step explanation:

There are 46 children attending the field trip.

Each van needs to transport 8 children.

To find the number of vans they need, we will divide the number of children by the number of children per van:

46 / 8 = 5.75 ≅ 6 vans

They need 6 vans.

The solution of the system of equations is (2, 1).

Here we have the system of equations:

y = 2x - 3

y = -x + 3

To solve the system of equations graphically, we need to graph both of these lines in the same coordinate axis and then find the point where the lines intersect.

That point will be the solution of the system.

On the image at the end you can see the graph of the system of equations, there we can see that the solution is (2, 1).

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Answer:

Tilt your head back and allow your mouth to hang open widely.

Contract the back of the throat and breathe deeply through your mouth.

Inhale and exhale completely while relaxing the shoulders.

When the yawn comes “reach and extend into it” to stretch the jaw muscles.

Step-by-step explanation:

Answer:

10 weeks, Substituion Equation.

Step-by-step explanation:

(Assume that x= 'per week').

We can write this as 50 + 25x=y for Heather's savings, &

                               200 + 10x=y for Alssa's savings.

We can combine these equations to make 200 +10x= 50+25x, because we know 50+25x=y, like we found out in the first equation. We can now subtract 25x from each side, and subtarct 200 from each side, to get

10x - 25x = 50 - 200, which can be simplified to -15x=-150. If we divided each side by -15, we get 10. Therefore, it will take 10 weeks for them to have the same amount of money. I think this is the Substituaion Equation

The probability that at least one household has their TV set tuned to the game is 1 - (1-0.22)^33, which is approximately 0.993.

To solve this problem using the direct method, we can use the fact that 22% of TV sets were tuned to the game. This means that the probability of a randomly selected TV set being tuned to the game is 0.22.

To find the probability that at least one of the 33 households surveyed had their TV set tuned to the game, we can use the complement method. The complement of the event "at least one household has their TV set tuned to the game" is "none of the households have their TV set tuned to the game".

Using the complement method, we can find the probability of this event by taking the probability that no households have their TV set tuned to the game, which is (1-0.22)^33.

So, the probability that at least one household has their TV set tuned to the game is 1 - (1-0.22)^33, which is approximately 0.993.

If I had to do this by hand, I would use the complement method, as it involves simpler calculations.

To find the probability that at least one TV set among the 33 households surveyed is tuned to NBC Sunday Night Football, we can use either the direct method or the complement method.

1. Direct Method:
The direct method requires calculating the probabilities of 1, 2, 3, ..., 33 households watching the game, and then summing up these probabilities. This method can be tedious and time-consuming, especially when done by hand.

2. Complement Method:
The complement method is generally easier and quicker, as it involves calculating the probability that none of the 33 households is watching the game and then subtracting this probability from 1.

Given that 22% (0.22) of the TV sets in use were tuned to the game, the probability that a household is not watching the game is 1 - 0.22 = 0.78.

For all 33 households not to be watching the game, the probability is (0.78)^33 ≈ 0.00038.

Now, to find the probability that at least one household is watching the game, we subtract this probability from 1:

1 - 0.00038 ≈ 0.99962.

So, the probability that at least one of the 33 households is tuned to NBC Sunday Night Football is approximately 0.99962.

If you had to do this by hand, the complement method would be the preferred approach, as it requires fewer calculations and is more straightforward.

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Answer: $2.45

Step-by-step explanation:

An easy way to find the correct tip is to learn what 20% of 12.25 is

Let's convert the percentage to a decimal by moving the decimal point two spaces to the left. Now we have .2

.2 X 12.25 = 2.45

2.45 is 20% of 12.25

The mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

Given data values are 55, 56, 70, 61, 53, 57, 50, 73, 52, 69, and 2. We need to calculate the mean, median, and mode of this sample.So, let's first arrange the data values in ascending order:2, 50, 52, 53, 55, 56, 57, 61, 69, 70, 73

Mean:The mean is the sum of all the data values divided by the total number of data values. So, we can use the following formula to calculate the mean:

Mean = (sum of all the data values) / (total number of data values)Sum of all the data values = 55 + 56 + 70 + 61 + 53 + 57 + 50 + 73 + 52 + 69 + 2 = 598Total number of data values = 11

Therefore,Mean = (sum of all the data values) / (total number of data values) = 598 / 11 = 54.36 (rounded to two decimal places)Therefore, the mean of the given data values is 54.36.

Median:The median is the middle value of a sorted data set. Since the data set has 11 data values, the median is the average of the 6th and 7th values (counting from smallest to largest).

Therefore, the median is :Median = (55 + 56) / 2 = 55.5Therefore, the median of the given data values is 55.5.

Mode:The mode is the data value that appears most frequently in the data set. In this case, there is no data value that appears more than once. So, there is no mode.

Therefore, the mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

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a) If the true rate of rejection is 10%, then the probability that the production will be suspended based on a sample of 15 bearings is 10%.

b)  The assumptions made in part a are that the sample of 15 bearings is representative of the population of bearings produced, and that each bearing is independent of the others.

To ensure that the production process is producing quality products, samples of 15 bearings are taken periodically and carefully inspected. If more than 2 bearings in a sample of 15 fail to meet the required specifications, production is suspended for necessary adjustments.

a) If the true rate of rejection is 10%, what is the probability that the production will be suspended based on a sample of 15 bearings? To answer this question, we need to use the binomial distribution. The binomial distribution is used to calculate the probability of a certain number of successes in a fixed number of independent trials. In this case, the number of trials is 15, and the probability of success (i.e., a bearing not meeting the required specifications) is 10%.

b) The assumptions allow us to use the binomial distribution to calculate the probability of having a certain number of bearings fail to meet the required specifications in a sample of 15. Additionally, we assume that the true rate of rejection is 10%, which may not always be the case.

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Answer:

Step-by-step explanation:

3x + 4x + x = 16

7x + x = 16

8x = 16

x = 16 : 8

x = 2

----------------------

3 × 2 + 4 × 2 + 2 = 16  (remember PEMDAS)

6 + 8 + 2 = 16

16 = 16

same value the answer is good

Answer:

Ruby is sphere

Shriya's is incorrect

Abhishek's is correct

Step-by-step explanation:

Ruby's definition matches a sphere because it is 3D and Shriya's is wrong.

Answer:

Each 13 scoops of ice cream

Step-by-step explanation:

Yosef finished the mile in 9 minutes.

Distance = 1 mile

Demetrius' speed = 7.5 miles per hour

Demetrius' time = Distance/speed

= 8 minutes

Demetrius finished the mile first by taking 1 minute less than Yosef's finishing time.

Answer:

Step-by-step explanation:

We know that:

Let's see how much time Yosef take in 7.5 miles.

Solution:

After working on this problem, we can conclude that Demetrius wins the race by 7.5 minutes.

To exclude the value \($x=0$\) since division by zero is not allowed.

The expression is well-defined for \($x \in (0,1]$\).

Expression is well-defined for \($0\leq x\leq 1$\).

In interval notation, we can write this as \($[0,1]$\).

Therefore, the expression \($\frac{\sqrt{x\cdot 1} \sqrt{1 - x}}{\sqrt{x}}$\) is well-defined for \($ x\in [0,1]$\).

Expression to be well-defined, we need to ensure that we do not perform any illegal operations.

This means that we cannot take the square root of a negative number, and we cannot divide by zero.

Let's consider each of the factors in the expression separately.

The first factor is.

\($\sqrt{x\cdot 1}=\sqrt{x}$\).

To ensure that this is well-defined, we need.

\($x\geq 0$\) since we cannot take the square root of a negative number.

The second factor is

.\($\sqrt{1-x}$\).

To ensure that this is well-defined, we need.

\($1-x\geq 0$\), or equivalently, \($x\leq 1$\), since we cannot take the square root of a negative number.

The denominator is.

\($\sqrt{x}$\).

To ensure that this is well-defined, we need.

\($x\geq 0$\), since we cannot divide by zero.

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The solution set of the equation will be x = - 1, or x = - 11.

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

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

To solve the equation x² + 12 x = -11, you can calculate this using the following steps:

x² + 12  x = -11

x² + 12 x + 11 = 0

(x + 1)  (x + 11) = 0

1. x = - 1

2. x = - 11

Therefore, solution set of the equation will be x = - 1, or x = - 11.

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The 30th term value is 2900.

A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

Given:
A sequence,

10, 110, 210, 310, …

To find the common difference:

110 - 10 = 100

So, d = 100

Remember that,

aₙ= a₁ + (n-1)d

aₙ=a₁+(n−1)d

So,

aₙ = 10 +(n−1)100.

a₃₀ = 10 + (30 - 1)100

a₃₀ = 10 + 29(100)

a₃₀ = 10 + 2900

a₃₀ = 2910.

Therefore, a₃₀ = 2910.

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An independent basic service set (IBSS) does not consist of any access points.

In an IBSS, devices such as laptops or smartphones connect with each other on a peer-to-peer basis, forming a temporary network. This type of network can be useful in situations where there is no existing infrastructure or when devices need to communicate with each other directly.

Since an IBSS does not involve any access points, it is not limited by the number of access points. Instead, the number of devices that can be part of an IBSS depends on the capabilities of the devices themselves and the network protocols being used.

To summarize, an IBSS does not consist of any access points. Instead, it is a network configuration where wireless devices communicate directly with each other. The number of devices that can be part of an IBSS depends on the capabilities of the devices and the network protocols being used.

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From the equation we see that the center of the circle is at (-2,3) and the radius is 9.

So using the distance formula we can see if the distance from the center to the point (8,4) is 9 units from the center of the circle...

d^2=(8--2)^2+(4-3)^2  and d^2=r^2=81 so

81=10^2+1^2

81=101  which is not true...

So the point (8,4) is √101≈10.05 units away from the center, which is greater than the radius of the circle.  

Thus the point lies outside or on the exterior of the circle...

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Answer:

328 feet

Step-by-step explanation: