Answer the question below

Answer:

8.06

Step-by-step explanation:

Use the Pythagorean theorem:

\(a^{2} +b^{2} =c^{2}\)

The hypotenuse is always the slanted side, or c (x in this picture), but the other numbers can be interchanged. Doesn't matter.

Plug the numbers 4 and 7 into the formula.

\(4^{2} +7^{2} =c^{2} \\\)

Now evaluate them to get \(c^2\)

16+49=65

To get c, take the square root of 65

\(\sqrt{65} = 8.06\)

Answer:

y = 24

Step-by-step explanation:

Its hard to explain

Answer:

1/5

Step-by-step explanation:

F=200/1000 = 2/10 = 1/5 Pretty simple just convert to the same unit if it doesn't make sense watch videos about the topic of unit conversion :D

Average waiting time for FCFS: 8.75

Average waiting time for SJF: 4.75

To solve this scheduling problem using FCFS (First-Come, First-Served) and SJF (Shortest Job First) algorithms, let's go step by step:

Schedule order for FCFS:

The FCFS algorithm schedules processes based on their arrival time. So, the schedule order for FCFS is as follows:

Pl -> P2 -> P3 -> P4

Average waiting time for FCFS:

To compute the average waiting time for FCFS, we need to calculate the waiting time for each process and then take the average.

Process | Arrival Time | Running Time | Waiting Time

Pl | 0 | 3 | 0

P2 | 3 | 10 | 3

P3 | 4 | 6 | 13

P4 | 5 | 1 | 19

Average waiting time = (0 + 3 + 13 + 19) / 4 = 8.75

Therefore, the average waiting time for FCFS is 8.75.

Schedule order for SJF:

The SJF algorithm schedules processes based on their running time. The process with the shortest running time gets executed first. If multiple processes have the same running time, the process with the earliest arrival time is selected first. The schedule order for SJF is as follows:

Pl -> P4 -> P3 -> P2

Average waiting time for SJF:

To compute the average waiting time for SJF, we need to calculate the waiting time for each process and then take the average.

Process | Arrival Time | Running Time | Waiting Time

Pl | 0 | 3 | 0

P4 | 5 | 1 | 3

P3 | 4 | 6 | 6

P2 | 3 | 10 | 10

Average waiting time = (0 + 3 + 6 + 10) / 4 = 4.75

Therefore, the average waiting time for SJF is 4.75.

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Since the provided equation is inconsistent, it cannot intersect.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

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Answer: 6 (2n + 1)

Explain it by: twice a number, increased by four.

God bless....I hope the explanation is useful.

d = 17.3 m

Step-by-step explanation:

We can extend Pythagorean theorem to 3 dimensions by writing

\( {d}^{2} = {x}^{2} + {y}^{2} + {z}^{2} \)

or

\(d = \sqrt{ {x}^{2} + {y}^{2} + {z}^{2} } \)

Since we are dealing with a cube of side 10 m, then

x = y = z = 10 m

so we get

\(d = \sqrt{ {10}^{2} + {10}^{2} + {10}^{2} } \)

or

\(d = \sqrt{3 \times {10}^{2} } = 10 \sqrt{3} \: m\)

This becomes

d = 17.3 m

Central Idea of the Poem; In the poem ‘Animals’, the poet Walt Whitman praises animals for being better than human beings and for possessing all such qualities that humans lack or have forgotten.

The poem Animals' central theme is that humans might get wisdom and virtues from the animals they formerly owned but have since lost.

The poet claims that animals possess many admirable traits like self-control, impartiality, and tranquility.

The comparison of people to animals in order to emphasize the shortcomings in human nature is the poem's main focus rather than praising how wonderful animals are.

The poet thinks that possibly people once possessed all of the virtues listed above, but that they have since lost them.

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The quadrature formula for the natural cubic spline with evenly spaced knots becomes I = 2h(y0 + 2y1 + 2y2 + ⋯ + 2yn-1 + yn) - (2/4)h^3(k0 + k1 + k2 + ⋯ + kn-1 + kn), where h is the distance between the knots and ki = yi''.

To show that if y = f(x) is approximated by a natural cubic spline with evenly spaced knots, the quadrature formula becomes I = 2h(y0 + 2y1 + 2y2 + ⋯ + 2yn-1 + yn) - (2/4)h^3(k0 + 2k1 + k2 + ⋯ + 2kn-1 + kn), where h is the distance between the knots and ki = yi''.

The natural cubic spline interpolates the function f(x) using piecewise cubic polynomials between each pair of adjacent knots. Let's denote the spline functions as Si(x) for i = 0 to n-1, where Si(x) is defined on the interval [xi, xi+1].

The composite trapezoidal rule is used to approximate the integral of f(x) over each interval [xi, xi+1]. It is given by the formula:

Ti = h/2 * (yi + yi+1)

where Ti represents the approximation of the integral over the interval [xi, xi+1].

Summing up the trapezoidal approximations over all intervals, we get:

I = T0 + T1 + T2 + ⋯ + Tn-1

 = (h/2) * (y0 + y1) + (h/2) * (y1 + y2) + ⋯ + (h/2) * (yn-1 + yn)

 = h/2 * (y0 + 2y1 + 2y2 + ⋯ + 2yn-1 + yn)

Now, let's consider the correction term for curvature. The curvature term measures the second derivative of the spline functions at each knot. Using the notation ki = yi'', we have:

C = (2/4)h^3 * (k0 + k1 + k2 + ⋯ + kn-1 + kn)

Adding the curvature correction term to the trapezoidal approximation, we obtain the final quadrature formula:

I = h/2 * (y0 + 2y1 + 2y2 + ⋯ + 2yn-1 + yn) - (2/4)h^3 * (k0 + k1 + k2 + ⋯ + kn-1 + kn)

This formula represents the integration approximation using the natural cubic spline with evenly spaced knots. The first part corresponds to the composite trapezoidal rule, and the second part provides a correction for the curvature of the spline.

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Answer: so the answer would be 120 because 15 times 8 would be 120 thank you i might be wrong but i tried

Step-by-step explanation:

Answer:

-4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

m/2

m = -8

Step 2: Evaluate

Answer: -4

Step-by-step explanation: It's important to understand that m/2 means

the same thing as m ÷ 2.

In this case, we are given that m = -8.

So we have -8 ÷ 2 which is -4.

Remember that when you divide a negative number

by a positive number then the quotient is negative.

We need to know about test statistic to solve the problem. The formula we will need to calculate test statistic is  (sample mean- population mean)/(standard deviation/\(\sqrt{size of sample}\))

Test statistic is a number calculated by a statistical test. It describes how far the observed data is from the null hypothesis of no relationship between variables or no difference among sample groups. The test statistic can be calculated using the sample mean, the population mean and population standard deviation.

test statistic= (sample mean- population mean)/(standard deviation/\(\sqrt{size of sample}\))

Therefore the formula to calculate the test statistic will be (sample mean- population mean)/(standard deviation/\(\sqrt{size of sample}\))

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Answer:

$3.75 per hour

Step-by-step explanation:

Matt earned $25 in 5 hours, then earned $20 in 7 hours.

Add the money he made together, $25 + $20 = $45

Add the number of hours he worked that day, 5 + 7 = 12

Divide the total amount he made by the hours he worked, $45 / 12

$45 / 12 hours = $3.75 per hour

Answer:

3 terms.

Step-by-step explanation:

Each term is separated by a symbol. +, -, =, etc.

All you must do is count the number of sequences between symbols.

You have 3 terms.

Brainliest appreciated!

Number of terms in polynomial 8c⁴ + 4c³ + 3c² is 3.

The correct option is D.

A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms.

For example, in the expression 4x + y, the two terms are 4x and y.

Given polynomial,

8c⁴ + 4c³ + 3c²

Terms in the above polynomials are = 8c⁴, 4c³ and 3c²

Number of terms = 3

Hence, 3 terms are in polynomial 8c⁴ + 4c³ + 3c².

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The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.

a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.

To calculate the balance, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.

In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:

Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683

Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:

A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51

Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.

b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:

Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance

Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49

Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.

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If n ≥ 30 and σ (population standard deviation) is unknown, then the 100(1 − α) confidence interval for a population mean is calculated using the t-distribution.

When dealing with large sample sizes (n ≥ 30) and an unknown population standard deviation (σ), the t-distribution is used to construct the confidence interval for the population mean. The confidence interval is expressed as 100(1 − α), where α represents the level of significance or the probability of making a Type I error.

The t-distribution is used in this scenario because when the population standard deviation is unknown, we need to estimate it using the sample standard deviation. The t-distribution takes into account the added uncertainty introduced by this estimation process.

To calculate the confidence interval, we use the t-distribution critical value, which depends on the desired level of confidence (1 − α), the degrees of freedom (n - 1), and the chosen significance level (α). The critical value is multiplied by the standard error of the sample mean to determine the margin of error.

In conclusion, if the sample size is large (n ≥ 30) and the population standard deviation is unknown, the 100(1 − α) confidence interval for the population mean is constructed using the t-distribution. The t-distribution accounts for the uncertainty introduced by estimating the population standard deviation based on the sample.

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Answer:

The pizza restaurant put 1/10 of the sauce on each pizza.

Step-by-step explanation:

Take the 3/5, and on a calculator divide the 3 by the 5:

0.6

Then, take the 0.6 and divide it by the 6 pizzas:

0.1, converted into a fraction equals 1/10.

The pizza restaurant put 1/10 of the sauce on each pizza.

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The null and alternative hypotheses are:

H0: β1 = 0 (The slope is not significant.)

H1: β1 ≠ 0 (The slope is significant.)

Here,β1=0.0943seβ1=0.107α=0.05

Test the slope significance and find the t-test statistic.

We need to find the t-test statistic so that we can compare it with the t-distribution, whose distributional properties we know, to determine if we can reject or fail to reject the null hypothesis.t-test statistic is calculated by dividing the value of β1 by its standard error (seβ1) and taking the absolute value of this quotient.

t-test statistic = | β1/seβ1 | = |0.0943/0.107| = 0.881

The degrees of freedom (df) associated with this t-test are df = n - 2, where n is the sample size for the explanatory variable x.

In this problem, the decision rule and conclusion are as follows:

Decision Rule: Reject the null hypothesis if |t-test statistic| > tc where tc is the critical value obtained from the t-distribution with df degrees of freedom and a significance level of α/2 in each tail.

Conclusion: The slope is not significant if we fail to reject the null hypothesis, but the slope is significant if we reject the null hypothesis. Since the t-test statistic (0.881) is less than the critical value (1.987), we fail to reject the null hypothesis. Therefore, we conclude that the slope is not significant.

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The first two are functions the third one is not a function and the fourth one is a function

Answer:

D. Using a bar graph where one bar has a length of 2.4 and one bar has a length of 1.8

Step-by-step explanation:

A bar graph will best represent this data because it has categories ; college student and college graduate. A bar graph with y axis values representing distance in miles covered per day and with an x axis for the categories.

The first for a pie chart is incorrect because pie charts best represent data with percentages.

The second choice to use a square where the length represents distance covered in miles is incorrect because of the units used for the square measurement though if similar squares are used, the data could be represented.

The third option is incorrect cause the cubes will have different dimensions which might mean two different items of study are presented.

The correct answer is : option D

To solve for the Marshallian demands x1(p1, p2, m) and x2(p1, p2, m) in the consumer problem with utility function U(x1, x2) = min{x1, ax2}, we need to maximize the utility subject to the budget constraint p1x1 + p2x2 ≤ m, where p1 and p2 are the prices of goods 1 and 2 respectively, and m is the consumer's income.

To find the Marshallian demands, we need to solve the consumer's optimization problem. The objective is to maximize the utility function U(x1, x2) = min{x1, ax2} subject to the budget constraint p1x1 + p2x2 ≤ m.

The first step is to set up the Lagrangian function:

L(x1, x2, λ) = min{x1, ax2} + λ(m - p1x1 - p2x2)

Next, we take the first-order conditions by differentiating the Lagrangian with respect to x1, x2, and λ, and setting the derivatives equal to zero. This will give us the equations for the optimal values of x1, x2, and the Lagrange multiplier λ.

By solving these equations, we can find the specific values for x1(p1, p2, m) and x2(p1, p2, m) that maximize the utility function while satisfying the budget constraint. The resulting demands will depend on the prices (p1, p2) and the consumer's income (m).

Note that the specific calculations involved in solving the optimization problem can be quite involved and may require further mathematical manipulation.

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We can evaluate the given iterated integral to be -πcos2(x) (z - 0 ).

We start with the innermost integral: 0 √1 − z2 0 z sin(x) dy. We can simplify this expression to 0  sin(x) ( √1 − z2  - 0 ). We then integrate this expression with respect to y, yielding sin2(x).

Next, we move on to the middle integral, which is sin2(x) dz. We can easily integrate this expression with respect to z and get sin2(x) (z - 0 ).

Finally, we take the outermost integral, which is sin2(x) (z - 0 ) dx. We can integrate this expression with respect to x and get -cos2(x) (z - 0 ).

Putting everything together, we can evaluate the given iterated integral to be -πcos2(x) (z - 0 ).

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The margin of error for the survey, rounded to the nearest tenth, is approximately 4.0% when expressed as a percentage.

To determine the margin of error for a survey at the 95% confidence level, we need to calculate the standard error. The margin of error represents the range within which the true population proportion is likely to fall.

The formula for calculating the standard error is:

Standard Error = sqrt((p * (1 - p)) / n)

where p is the sample proportion and n is the sample size.

In this case, the sample proportion is 64% (or 0.64) since 64% of the 1350 surveyed residents support the plan.

Plugging in the values:

Standard Error = \(\sqrt{(0.64 * (1 - 0.64)) / 1350)}\)

\(= \sqrt{(0.2304 / 1350)} \\= \sqrt{(0.0001707)}\)

≈ 0.0131

Now, to find the margin of error, we multiply the standard error by the appropriate critical value for a 95% confidence level. The critical value corresponds to the z-score, which is approximately 1.96 for a 95% confidence level.

Margin of Error = z * Standard Error

= 1.96 * 0.0131

≈ 0.0257

Finally, to express the margin of error as a percentage, we divide it by the sample proportion and multiply by 100:

Margin of Error as Percentage = (Margin of Error / Sample Proportion) * 100

= (0.0257 / 0.64) * 100

≈ 4.0%

Therefore, the margin of error for this survey, expressed as a percentage to the nearest tenth, is approximately 4.0%.

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Answer:

2:5

Step-by-step explanation:

The structure of a ratio is x:y.

So all you have to do is place the former as the first digit and the latter as the second and separate them by a colon.

Answer:

2

Step-by-step explanation:

7x=14

\( \frac{7x}{7} = \frac{14}{7} \)

x=2

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The polynomial 2x^3 - 4x^2 + 3x - 7 has the remainder is -1, and the quotient is 2x^2 + 3.

To find the quotient and remainder of a polynomial, follow these steps:

Arrange the polynomials in descending order of degrees.

Divide the term with the highest degree of the dividend polynomial by the term with the highest degree of the divisor polynomial. This will be the first term of the quotient.

Multiply the divisor polynomial by the first term of the quotient and subtract the result from the dividend polynomial.

Bring down the next term from the dividend polynomial.

Repeat steps 2 to 4 until all the terms of the dividend polynomial are exhausted or the degree of the remaining polynomial is lower than the degree of the divisor polynomial.

The resulting polynomial after the division process is complete is the remainder.

The terms obtained during the division process form the quotient polynomial.

For example, let's divide the polynomial 2x^3 - 4x^2 + 3x - 7 by the polynomial x - 2.

The term with the highest degree in the dividend polynomial is 2x^3, and the term with the highest degree in the divisor polynomial is x.

Dividing 2x^3 by x gives 2x^2, which is the first term of the quotient.

Multiply (x - 2) by 2x^2, giving 2x^3 - 4x^2.

Subtracting 2x^3 - 4x^2 from the dividend polynomial gives 3x - 7.

Bring down the next term, which is 3x.

Dividing 3x by x gives 3, which is the next term of the quotient.

Multiply (x - 2) by 3, giving 3x - 6.

Subtracting 3x - 6 from the remaining polynomial gives -7 + 6 = -1.

Since the degree of -1 is lower than the degree of x - 2, the division process is complete.

The remainder is -1, and the quotient is 2x^2 + 3.

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maybe I do

Step-by-step explanation:

or don't sjjajahausos