If the area of a wall is 81, what is the length of the wall?

When measuring an object's dimensions, there are generally three dimensions that are measured: length, width, and height. The order in which these dimensions are measured is somewhat arbitrary and depends on the context and convention being used.

In some contexts, such as in woodworking or architecture, the convention is to measure length first, followed by width and then height. This is because the length is typically the longest dimension of an object, and the width and height are measured relative to it.

However, in other contexts, such as in scientific or engineering applications, the convention may be to measure height first, followed by length and then width. This is because height is often used as the reference or baseline dimension for a three-dimensional coordinate system.

In general, there is no hard and fast rule for the order in which length, width, and height are measured, as long as it is clear what each measurement refers to. The most important thing is to be consistent in the order of measurement when making multiple measurements or when communicating dimensions to others.

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Answer:

27.625

Step-by-step explanation:

I hope this helps

Answer:

27.625

Step-by-step explanation:

so 28.6 is 28.600.

this means that this will be:

28.600

-00.975

I have attached an image of the solution and how it can be solved.

Answer:

It falls in the integer category. The attached picture is a chart if you want to specify a number in a category.

Hope this helps :)

Let's see

Done!

The learning rate in gradient descent determines the step size and should be not too small or too large, as it can cause the algorithm to converge slowly or overshoot the minimum; adjusting the value of the learning rate can fix the problem, but the optimal value depends on the problem and data set.

According to the given information:

When running gradient descent,

The learning rate α determines the step size taken in each iteration toward the optimal solution.

If α is too small, the algorithm will take small steps and will converge slowly, or may even get stuck in a local minimum.

If α is too large, the algorithm may overshoot the minimum and diverge, or bounce back and forth without converging.

In the scenario described, the learning rate α of 0.5 appears too large, causing J(θ) to increase over time.

This suggests that the algorithm is not converging and is overshooting the minimum.

To fix this,
The value of α can be adjusted by reducing it to a smaller value,

Such as 0.1 or 0.01.

This should allow the algorithm to take smaller steps towards the minimum and eventually converge to a lower value of J(θ).

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Answer:

probabilty is the chance for you to get something

Answer:

This is the likelihood of getting 3 heads

The velocity of the cylinder when it reaches the bottom of the incline is v = sqrt(4gh/3).

The velocity of the cylinder when it reaches the bottom of the incline can be calculated using the principle of conservation of energy. The velocity of the cylinder is given by the formula v = sqrt(2gh/(1+I/(mr^2))), where g is the acceleration due to gravity, h is the height of the incline, and I is the moment of inertia of the cylinder.

In this case, the cylinder is released from rest at a height h on an incline without slipping, which means that all the potential energy at the top of the incline is converted to kinetic energy at the bottom of the incline. Therefore, we can write:

1/2 mv^2 = mgh

where v is the velocity of the cylinder at the bottom of the incline.

The moment of inertia of the cylinder is given as 1/2mr^2. Substituting this into the formula for v and simplifying, we get:

v = sqrt(2gh/(1+1/2)) = sqrt(4gh/3)

Therefore, the velocity of the cylinder when it reaches the bottom of the incline is v = sqrt(4gh/3).

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ANSWER

4/5

EXPLANATION

The slope of a line is given by,

In this roof, the rise is the height of the roof, 12ft, and the run is half the width of the roof, 15ft,

Hence, the pitch is 4/5.

The equation for the line that contains the point (5,-3)and is parallel to the line y = 4x +2 is obtained using the point-slope form of the line as y=4x-23.

Use the point's coordinates for (a, b) in the point-slope form to get a line that passes through the point and is parallel to a line: y - b= m (x -a). Simply enter the slope of the previous line for m.

A point (5,-3) and a line y = 4x +2 are given.

Find the slope of the given equation of the line.

On comparison of the given equation of the line with the standard equation of the line, y=mx+c

m=4

Plug the given point and the slope in the point-slope form of the line.

y-(-3)=4(x -5)

y+3=4x-20

y=4x-23

So, the required equation of the line is y=4x-23

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When dealing with the simultaneous occurrence of two events A and B, the probability can be determined by using the probability of one event and the conditional probability of the other event given that the first event has occurred. Both P(A) * P(B|A) and P(B) * P(A|B) are valid ways to calculate this probability.

The concept of probability is fundamental in various fields such as mathematics, statistics, and even in everyday life. The probability of the simultaneous occurrence of two events A and B is a critical concept in probability theory. According to the definition, the probability of A and B occurring at the same time is equal to the probability of A multiplied by the conditional probability of B given that A has occurred. This equation is also valid in the reverse case, where the probability of B and A occurring simultaneously is equal to the probability of B multiplied by the conditional probability of A given that B has occurred.

Understanding the relationship between the probability of two events and their conditional probabilities is essential in predicting the likelihood of these events happening together. In real-life situations, this concept can be used to determine the probability of two events such as the success of a product launch and the corresponding increase in sales. The probability of these two events occurring simultaneously can be predicted by analyzing the probability of the product launch's success and the conditional probability of sales increasing given that the product launch is successful.

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Answer:

7.5km/h

Step-by-step explanation:

Given data

Distance= 15km

Time = 2 hours

We know that the expression for the speed is

Speed= distance/time

Substitute

Speed= 15/2

Speed= 7.5 km per hour

Hence the speed is 7.5km/h

Answer:

11.66

Step-by-step explanation:

10^2 + 6^2 = Z^2

100 + 36 = Z^2

136 = Z^2

sqrt(136) = Z

sqrt 136 = 11.66

1. The company needs to sell 180 vacuum cleaners to break even.

2. The company needs to sell 5,180 vacuum cleaners to make a $500,000 profit.

3. The company will make a profit of $50,000 if 500 vacuum cleaners are sold.

4. The company will make an additional profit of $10,000 for every 100 additional vacuum cleaners sold.

(1) To break even, the company's total revenue needs to equal its total cost.

The total cost consists of the overhead cost plus the cost per unit multiplied by the number of units sold.

Let's denote the number of vacuum cleaners to be sold as x:

Total cost = Overhead cost + (Cost per unit \(\times\) Number of units sold)

Total cost = $18,000 + ($150 \(\times\) x)

The total revenue is calculated by multiplying the selling price per unit ($250) by the number of units sold:

Total revenue = Selling price per unit \(\times\) Number of units sold

Total revenue = $250 \(\times\) x

To break even, we set the total cost equal to the total revenue:

$18,000 + ($150 \(\times\) x) = $250 \(\times\) x

Solving this equation will give us the number of vacuum cleaners the company needs to sell to break even.

(2) To make a $500,000 profit, we need to consider the profit as the difference between total revenue and total cost:

Profit = Total revenue - Total cost

Profit = ($250 \(\times\) x) - ($18,000 + ($150 \(\times\) x))

We can set this equation equal to $500,000 and solve for x to find the number of vacuum cleaners the company needs to sell.

(3) To find the profit when 500 vacuum cleaners are sold, we substitute x = 500 into the profit equation:

Profit = ($250 \(\times\) 500) - ($18,000 + ($150 \(\times\) 500))

(4) To determine the additional profit for every 100 additional vacuum cleaners sold, we need to calculate the difference in profit between selling x vacuum cleaners and selling x + 100 vacuum cleaners:

Additional Profit = Profit (x + 100) - Profit (x)

By evaluating the profit equation for both x and x + 100, we can find the difference.

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The measure of angle x is 77 degrees.

We have two angles given: 65 degrees and 38 degrees. Let's call the measure of angle x as "x".

From the information, we have the measure of the missing angle of the angles in a triangle are 38°, 65° and x. Then we can set up an equation:

x + 65 + 38 = 180 (the sum of the measures of the angles in a triangle is 180)

Simplifying this equation, we get:

x + 103 = 180

x = 77

Therefore, the measure of angle x is 77 degrees.

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Complete question

Find the measure of the missing angle of the angles in a triangle are 38°, 65° and x.

Answer:

Step-by-step explanation:

 8     6     9      5    10     4     11

 1st = 3rd - 1

  3rd = 5th - 1 and so on

2nd = 4th + 1

4th = 6th + 1

6th = 8th + 1

 8th = 6th - 1

         =  4 - 1

         = 3

Answer:

Step-by-step explanation:

Take away the two at the botom frum the 88

The time when the distance remaining becomes zero will be 104 minutes.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

The slope of the data will be

m = (6 - 8) / (56 - 40)

m = - 2 / 16

m = - 1/8 miles per minute

Then the equation will be

y = -(1/8)x + c

The equation of the line is passing through (56, 6), then we have

6 = - (1/8) 56 + c

6 = - 7 + c

c = 13

Then the equation will be

y = - (1/8)x + 13

The time when the distance remaining becomes zero. Then we have

0 = - (1/8)x + 13

(1/8)x = 13

x = 8 × 13

x = 104 minutes

The time when the distance remaining becomes zero will be 104 minutes.

Your question was incomplete, but the complete question is given below.

The distance remaining for a half-marathon race over several minutes is shown in the table. Use the information to determine the constant rate of change in minutes per mile. How many minutes when the distance remaining becomes zero?

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Answer:

5

Step-by-step explanation:

First you need to add all the digits so 1 +2+5+5+6+6+7+8 = 40

Then, divide that by the number of digits which is 8.

Therefore, 40/8 = 5, which is the answer.

I hope this helped!

Answer:

\(w=9\)

Step-by-step explanation:

\((4w-7)+(7w-2) = 90\\11w-9=90\\11w=99\\w=9\)

Answer:

X=28

Step-by-step explanation:

4x+248=360

112=4x

x=28

Answer:

28

Step-by-step explanation:

Given an LTI system that has an output y = 2te^-ul for the input x(t) = -(t). Here, e^-ul is the decay constant and is a real positive constant. The impulse response of the system can be found by considering the impulse input x(t) = δ(t).

The output of the system with an impulse input is given by y(t) = h(t), where h(t) is the impulse response of the system.We have,x(t) = -(t)..........(1)Applying derivative on both sides of the above equation, we get,y(t) = 2te^-ul, Applying derivative on both sides of the above equation, we get,

Plot of frequency response and Impulse response of the system Hence, the plot of frequency response and the impulse response of the LTI system is shown in the figure below:, the frequency response is given by H(jω) = (2/(-jω + ul)^2) where ω is the angular frequency. The impulse response of the system is given by h(t) = (2/ul^2)t.e^-ul.

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Answer:

Mai needs 4/3 cups of strawberries in order to make the whole cake.

Step-by-step explanation:

1 cup of strawberries being equal to 3/4 of the cake is also the same as 1 cup of strawberries equaling 75% of the cake. So, what times 0.75 is equal to 1? That is 4/3.

Answer:

4.3398101e+17

Step-by-step explanation:

In statistics, the normal probability distribution is the most often used continuous probability distribution.

A simple mathematical process transforms any value from a classical probability distribution to its normal distribution equivalent, including mean and standard deviation.

To determine the required probability, the normal distribution table is employed.

The geometric, behavioral, and negative binomial probabilities are all common as discrete distributions. The regular, logarithm, exponential, chi-square, beta, t, and F distributions are examples of common continuous distributions.

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Answer:

3:1

Step-by-step explanation:

boys: girls

15         45

We want girls to boys

girls: boys

45   :  15

Divide each side by 15

45/15   : 15/15

3       :1

Answer:

everything

Step-by-step explanation:

because in statistics we represent data in classes and you can't have a class of one number since the histogram a class has to have limits hope it helps

One type produces ovules, the other type produces pollen. The correct option is (C).

Sympatric speciation occurs when there are no physical barriers preventing any members of a species from mating with another, and all members are in close proximity to one another.

The transport of pollen from stamen to stigma is referred to as pollination. Self-pollination occurs when pollen grains are transferred from anther to stigma on the same flower, or an adjacent flower on the same plant. Cross-pollination occurs when pollen grains are deposited on stigma of a different plant of the same species.

Sympatric speciation is the evolution of a new species from a surviving ancestral species while both continue to inhabit the same geographic region. In evolutionary biology and biogeography, sympatric and sympatry are terms referring to organisms whose ranges overlap so that they occur together at least in some places.

The correct option is(C).

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Answer:

2(4x+3)

Step-by-step explanation:

Distribute 3 ( + 2 ) + 5 to 3 + 6 + 5

Combine the terms 3 + 6 + 5 to 8 + 6

Common factor Factor 3 ( + 2 ) + 5 to 2 ( 4 + 3 )

Answer$12.73

Step-by-step explanation:

$63.65/5(children) = $12.73

Answer:

$12.73

Step-by-step explanation:

$63.65/5=$12.73

15 kg is equal to 33.06 pounds.

To convert kilograms (kg) to pounds (lbs), you can use the conversion factor 1 kg = 2.205 lbs. To convert 15 kg to lbs, you would multiply 15 by 2.205, which gives you 33.06 pounds.

It's important to note that the pound is a unit of weight in the Imperial system of measurement, while the kilogram is a unit of weight in the Metric system of measurement. These two systems are not directly comparable, so it's essential to use a conversion factor when switching between them.

In addition, it's good to know that the pound is commonly used in the United States, while the kilogram is more commonly used in other countries around the world. It's worth mentioning that the conversion factor is exact, but due to rounding errors when converting large numbers of kilograms to pounds, there might be a slight discrepancy in the result.

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