The length of a diagonal of a square field is 220 m. Find the length of a side in metres and the area of the field in hectares.​

In case of linear function the graph will be a straight line as the change is constant in every interval. But in case of non-linear function, instead of straight line the graph will generate curve line as the change is not constant in every interval.

Answer:

Multiplication Property of Equality

Step-by-step explanation:

Since the number 4 is multiplied to both sides of the equation to solve, and the Multiplication Property of Equality says that if we start with two equal quantities and multiply both by the same number, the results are equal, then the Multiplication Property of Equality is applied.

I hope this helps!

Answer:

Multiplication property of equality.

Step-by-step explanation:

Let's use elimination to find our answer.

We know its not addition (+), subtraction (-), or division (÷)

We are left with multiplication (x, * , or ⋅)

Therefore, our final answer is multiplication property of equality.

Hope this helps!

The volume of the given triangular prism is 315 cm³.

The volume of a triangular prism, we need to multiply the base area of the triangular base by the height of the prism.

The triangular base has a base length of 5 cm and a height of 7 cm, and the height of the prism is 9 cm.

Calculate the area of the triangular base.

The area of a triangle can be calculated using the formula:

Area = (base length × height) / 2

Plugging in the values, we have:

Area = (5 cm × 7 cm) / 2

Area = 35 cm²

Calculate the volume of the prism.

The volume of a prism can be calculated by multiplying the base area by the height of the prism.

Volume = Base area × Height

Volume = 35 cm² × 9 cm

Volume = 315 cm³

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91% confidence interval of true proportion of workers who belong to a union is between 22.71% and 29.29%.

The formula for a proportion's confidence interval is: p z* (p(1-p) / n) where: P is the sample proportion (p = sample size / number of unionised employees).

z is the z-score that corresponds to the desired level of confidence; for example, a 91% confidence level corresponds to a z-score of roughly 1.645.

The sample size is n.

Therefore, the sample proportion for the given case is p = 26% = 0.26, and the sample size is n = 434.

We obtain the following numbers by substituting them in the formula: 0.26 1.645 * (0.26 * 0.74 / 434)

figuring out the standard error

√(0.26 * 0.74 / 434) = 0.0199

Therefore, 0.26 1.645 * 0.0199 = 0.26 0.0329 represents the 91% confidence interval.

Therefore, 0.26 - 0.0329 = 0.2271 are the lower and upper boundaries of the 91% confidence interval.

0.26 + 0.0329 = 0.2929

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Answer:

B

Step-by-step explanation:

Subtract the minimum number from maximum number.

\(10 - 2 = 8\)

The basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

The given piecewise-defined function f(x) has different expressions for different intervals. For x greater than or equal to zero, f(x) takes the value of x. For x less than zero, f(x) is equal to -x. We need to find a basic function that captures this behavior.

Among the options provided, f(x) = |x| is equivalent to the given piecewise function. The absolute value function, denoted by |x|, returns the positive value of x regardless of its sign. When x is non-negative, |x| equals x, and when x is negative, |x| is equal to -x, mirroring the conditions of the piecewise-defined function.

The function f(x) = |x| represents the absolute value of x and matches the behavior of the given piecewise-defined function, making it the equivalent basic function.

In summary, the basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

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Kay deposited (c)$93.44  in cash and coins.

Money or coins that are legal tender can be used to pay for goods, debts, or services. Additionally, as stated by a corporation, it occasionally includes the worth of assets that can be quickly converted into cash. In its physical form, cash is another name for money. Bank accounts and marketable securities, such as government bonds and banker's acceptances, are typically included in the definition of "cash" in a business context.

We proceed from the whole backward. The amount deducted for cash received is first added back,

498.01+213.51 = 711.52

Each cheque that was deposited is then subtracted:

711.52-40.25 = 671.27

671.27-57.68 = 613.59

613.59-520.15 = 93.44

She started with (c) $93.44 in cash and coins.

Correct Question :

How much did kay deposit in cash and coins? a. $404.57 b. $213.51 c. $93.44 d. $284.50

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There are 24 different ways that the participant can sort the four ice cream samples.

Since the participant is given 4 different ice cream samples, there are 4 ways in which they can place their first preference. Once they have chosen their favorite ice cream sample, there are 3 remaining options for their second preference. Similarly, there are 2 options for their third preference, and only one option for their least favorite ice cream sample. Here we have to use the principle of counting

Therefore, the number of ways the participant can sort the ice cream samples based on preference is

4 x 3 x 2 x 1 = 24

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what are the prices?

Answer:

24

Step-by-step explanation:

In ridge regression, the penalty strength parameter, represented by \lambda», controls the trade-off between fitting the training data well and keeping the model coefficients small.

When a very large penalty strength is chosen, it results in a higher degree of shrinkage of the regression coefficients towards zero. This means that the model becomes less complex and less likely to overfit the training data. However, it also means that the model may become too biased towards the null hypothesis, leading to underfitting and decreased predictive power. Therefore, choosing the right value of \lambdaλ is crucial for achieving optimal performance in ridge regression.
In ridge regression, choosing a very large λ (lambda) penalty strength results in a higher regularization effect, which helps to reduce overfitting by shrinking the coefficients of the independent variables towards zero. This helps to create a more generalized model by controlling the complexity of the model. However, choosing a λ value that is too large can also result in underfitting, as the model may become too simple to capture the underlying relationships in the data effectively.

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Answer:

B.) 12

Step-by-step explanation:

2+1/4 is the fraction and all values less than two are on the line.

1 brown circle represents 1 feather

there are 7 dots for 2+1/4

4 dots for 2

1 dot for 3/4

Hope that helps :)

Answer:

answer is B. Aka 12

Step-by-step explanation:

thanks mark brainliest…:) please.

Answer:

26 1/2 Miles

Step-by-step explanation:

1. Daniel's house is 16 3/4 miles to the left, and Laura's house is 9 1/2 miles to the right.

2. Add these numbers since they are located opposite of each other.

3. This adds to 26 1/2 miles.

Hope this helps.

The student covers a total distance of 22.05 kilometers in a week's time, walking between the park and the house each day.

To find the total distance covered by the student in a week's time, we need to calculate the distance covered in one round trip (from the house to the park and back) and then multiply it by the number of round trips in a week.

Given that the difference between the park and house is 1 kilometer and 575 meters, we can convert it to a total distance of 1.575 kilometers.

In a round trip, the student covers twice the distance between the park and the house, which is 1.575 kilometers * 2 = 3.15 kilometers.

Now, we need to determine how many round trips the student makes in a week. Let's assume the student makes one round trip each day.

Since there are 7 days in a week, the total distance covered by the student in a week's time is 3.15 kilometers * 7 = 22.05 kilometers.

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Answer:

\(9x+4x^2-5y\)

Step-by-step explanation:

Hi there!

Length of the field: \(14x-3x^2+2y\) units

Width of the field: \(5x-7x^2+7y\) units

To find how much greater the length of the field is than the width, subtract the width from the length:

\(14x-3x^2+2y-(5x-7x^2+7y)\)

Open up the parentheses

\(= 14x-3x^2+2y-5x+7x^2-7y\)

Combine like terms

\(= 14x-5x-3x^2+7x^2+2y-7y\\= 9x+4x^2-5y\)

Therefore, the length is \(9x+4x^2-5y\) units greater than the width.

I hope this helps!

Answer: 5%

Step-by-step explanation:

Answer:

35 (the sequence is 1,2,18,19,35)

Step-by-step explanation:

So you have 5 numbers a, b, 18, c, d ordered from low to high.

18 is given because it is the median.

If the mean is 15, the sum must be 75 (because 75/5=15).

d must be as high as possible, so the others must be as low as possible, but positive and different.

So let's say a=1 and b=2, we can't get any lower than that.

c can be no lower than 19, otherwise we'd lose the median.

That leaves for d = 75 - 19-18-2-1 = 35.

nice one

The largest possible integer for the given case is 51.

In order to find the mean, first sum all the values of the data and count the number of data then divide them.

In order to find the median, first check whether the number of data is even or odd. For even number, the median is n/2 th element of the sample and for odd number the median is (n + 1)/2 th element.

Given that,

The mean of five integers is 15.

And, the median is 18.

Since the median of n number of data in a sample when n is odd is given as,

Median = ((n+1)/2) th element.

For n = 5, the median is 3rd element.

Which implies the 3rd element is 18.

Now, sum of the five integers is given by 5 × Mean which is,

5 × 15

= 75.

Suppose the five integers are x₁, x₂, x₃, x₄ and x₅ respectively.

Then as per the question,

x ₁+ x₂ + x₃+ x₄+ x₅ = 75

And, x₃ = 18

Then,  x ₁+ x₂ + 18 + x₄+ x₅ = 75

=>  x ₁+ x₂ + x₄+ x₅ = 75 - 18

=>   x ₁+ x₂ + x₄+ x₅ = 57    

In order two find the largest possible integer, suppose the remaining three of them are 1, 2 and 3.

The equation can now be written as,

1 + 2 + 3 + x₄ = 57

=> x₄ = 51

Hence, the maximum possible value of the largest integer is 51.

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Answer:

12.5

Step-by-step explanation:

The value of a(t) is -1 and b(t) is 55 + \(e^t\)

No, the given equation y' - y = 55 + \(e^t\) is not in the standard form of a first-order linear differential equation.

In the method for solving a first-order linear differential equation, an integrating factor is a function used to transform the equation into a form that can be easily solved.

For an equation in the standard form y' + a(t)y = b(t), the integrating factor is defined as:

μ(t) = e^∫a(t)dt

To solve the equation, you multiply both sides of the equation by the integrating factor μ(t) and then simplify. This multiplication helps to make the left side of the equation integrable and simplifies the process of finding the solution.

To put it in standard form, we need to rewrite it as y' + a(t)y = b(t).

Comparing the given equation with the standard form, we can identify:

a(t) = -1

b(t) = 55 + \(e^t\)

Therefore, The value of a(t) is -1 and b(t) is 55 + \(e^t\)

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Answer:

B

Step-by-step explanation:

Answer:

Factored completely is: 3x^2 (x+3)(x-2)

according to your question - probs (x-2), no other choice

Step-by-step explanation:

have fun friend & have a good day friend :)

Answer:

y=-3/5 or C

Step-by-step explanation:

Answer:5/8

Step-by-step explanation:

\(\begin{gathered} \boxed{ \sf \frac{3}{4} - \frac{1}{8}} = \\ \\ \sf \frac{8 \div 4 \times 3 - 8 \div 8 \times 1}{8} = \\ \\ \sf\frac{6 - 1}{8} = \\ \\ \sf \boxed{ \sf\frac{5}{8}} \end{gathered}\)

Therefore, the result of this subtraction of fractions is five eighths.

How to subtract unlike fractions:

Heterogeneous fractions are fractions that have different denominators.

To subtract heterogeneous fractions we follow these steps:

Answer:I think the answer is x=27

Step-by-step explanation:

Answer:

Step-by-step explanation:

-2

Answer:

(-3,-3)

Step-by-step explanation:

I think I think

Answer:

42

Step-by-step explanation:

This is the answer because:

1) If x equals 6, then 7x is basically 7 times 6 (because x equals 6)

2) Therefore, 7 times 6 is 42

Hope this helps!

To calculate \(\frac{{f(x+h) - f(x)}}{h}\) for the function \(f(x) = ax^3\), we need to substitute the expressions into the formula and simplify.

\(f(x+h) = a(x+h)^3\\\\f(x) = ax^3\)

Now we can calculate the difference:

\(f(x+h) - f(x) = a(x+h)^3 - ax^3\)

Expanding \((x+h)^3\):

\(f(x+h) - f(x) = a(x^3 + 3x^2h + 3xh^2 + h^3) - ax^3\)

Simplifying:

\(f(x+h) - f(x) = ax^3 + 3ax^2h + 3axh^2 + ah^3 - ax^3\)

The terms \(ax^3\) cancel out:

\(f(x+h) - f(x) = 3ax^2h + 3axh^2 + ah^3\)

Now we can divide by h:

\(\frac{{f(x+h) - f(x)}}{h} = \frac{{3ax^2h + 3axh^2 + ah^3}}{h}\)

Canceling out the common factor of h:

\(\frac{{f(x+h) - f(x)}}{h} = 3ax^2 + 3axh + ah^2\)

Now, we evaluate this expression again by setting h = 0:

\(\frac{{f(x+h) - f(x)}}{h} = 3ax^2 + 3ax(0) + a(0)^2\)

\(= 3ax^2\)

Therefore, when we evaluate the expression by setting h = 0, we get \(3ax^2\).

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Yes, Co terminal angles can have different angle measures.

Co terminal angles are two angles that have a sum of 360 degrees and are in the same position or direction. For example, if one angle measures 120 degrees and the other measures 240 degrees, they would be co terminal angles.

Since co terminal angles have a sum of 360 degrees, any two angles that have this sum can be considered co terminal angles, even if they have different angle measures. This means that the difference in their angle measures can be any value that results in the sum of 360 degrees.

In general, two angles are co terminal if the measure of one angle plus the measure of the other angle equals 360 degrees. Therefore, co terminal angles can have different angle measures, as long as the sum of their angles is 360 degrees

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The level of significance, in hypothesis testing, is the probability of rejecting a null hypothesis when it is actually true.

This is why it is important to set a proper level of significance before conducting the hypothesis testing to minimize the risk of making a type I error (incorrectly rejecting a true null hypothesis). This criterion is known as (alpha) and is usually always set to in null hypothesis testing.  0.05, and 0.01 are typical values. The level of significance is typically set at 0.05 or 0.01, meaning that there is a 5% or 1% chance of rejecting the null hypothesis when it is actually true.

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The level of significance, in hypothesis testing, is the probability of  rejecting null hypothesis. accepting a true rejecting a true rejecting a false accepting a false

In hypothesis testing, the level of significance (often denoted as α) is a predetermined threshold used to make a decision about the null hypothesis. It represents the maximum probability of making a Type I error, which is rejecting a true null hypothesis.

The null hypothesis (H0) is a statement or assumption that suggests there is no significant difference or relationship between variables in a population. The alternative hypothesis (Ha) is the statement that contradicts or opposes the null hypothesis, suggesting that there is a significant difference or relationship.

To perform a hypothesis test, we collect sample data and calculate a test statistic. Then, we compare the test statistic to a critical value determined by the level of significance.

If the test statistic falls in the rejection region (beyond the critical value), we reject the null hypothesis. If the test statistic falls within the acceptance region (below the critical value), we fail to reject the null hypothesis.

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