Find the area
Someone plsss answer

Answer:

if its .5 round up if its .4 or lower round down

Step-by-step explanation:

Answer:

Step-by-step explanation:

i look at the number to the very decimal and then if it is 5 or higher i round up if it is 4 or lower i round down then leave out the rest of the numbers unless it tells you to round to the tenths, hundreds, or thousands place and so on.

If the limit of f(x) as x approaches 8 is 3, can you conclude anything about f(8)? The answer is No. We cannot. See the explanation below.

Again, 'No,' is the response to this question. The justification for this is that the value of a function does not depend on the function's limit at a given moment.

This is particularly clear when we consider a question with a gap. A rational function with a hole is an excellent example that will help you answer this question.

The limit of a function at a position where there is a hole in the function will exist, but the value of the function will not.

A limit is the result that a function (or sequence) approaches when the input (or index) near some value in mathematics.

Limits are used to set continuity, derivatives, and integrals in calculus and mathematical analysis.

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Answer:

Step-by-step explanation:

The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

From the question, we have the following parameters that can be used in our computation:

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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The Cobb-Douglas utility function satisfies the properties of local non-satiation, decreasing marginal utility for both goods, quasi-concavity, and homotheticity.

The Cobb-Douglas utility function u(x1, x2) = xi^(α) * x2^(β), where α and β are both greater than zero, satisfies the following properties:

(a) Local non-satiation:

This property states that at each point of the consumption set, there is always another bundle that is arbitrarily close and strictly preferred. Thus, the function has local non-satiation.

(b) Decreasing marginal utility for both goods 1 and 2: The marginal utility of a good measures the utility obtained by consuming one more unit of it. The marginal utility of x1 can be obtained as:

MU1 = α * xi^(α−1) * x2^(β)

The marginal utility of x2 can be obtained as:

MU2 = β * xi^(α) * x2^(β−1)

Therefore, both marginal utilities are decreasing in x1 and x2, satisfying this property.

(c) Quasi-concavity:

The Cobb-Douglas function is quasi-concave. This means that the upper contour set of any level set of the function is convex. This can be proved by taking the second partial derivative of the function and checking whether it is negative or not.

(d) Homotheticity:

The Cobb-Douglas function is homothetic. This means that its shape is independent of the total level of utility. The proof can be achieved by checking whether the function is homogeneous of degree one or not. This is true, since multiplying the inputs by any positive scalar λ leads to a proportional increase in the output.

In conclusion, the Cobb-Douglas utility function satisfies all four properties - local non-satiation, decreasing marginal utility for both goods 1 and 2, quasi-concavity, and homotheticity.

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The 2 liter drink would cost $3, we converted liters to deciliters to make sure that we could properly calculate the cost per unit

To calculate the cost of the 2 liter drink, we first need to determine how many deciliters are in 2 liters. Since 1 liter equals 10 deciliters, 2 liters would equal 20 deciliters.

The cost of the drink per deciliter is given as $0.15. To calculate the total cost of the drink, we multiply the cost per deciliter by the total number of deciliters, which is: $0.15/deciliter x 20 deciliters = $3, Therefore, the 2 liter drink would cost $3.

It's important to note that when dealing with units of measurement, it's crucial to ensure that the units are properly converted and consistent. In this case, we converted liters to deciliters to make sure that we could properly calculate the cost per unit (per deciliter).

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Answer:

25% of the mix is raisins

Assume that the linear system \(Ax = b\) has more than one solution, and let \(x1\) and \(x2\) be two distinct solutions. Let \(x3 := ux1+7x2\), where µ, \(7 E IR\) with the property that \(u+n = 1.\)

Then we have: \(Ax1 = b and Ax2 = b\) since x1 and x2 are solutions.

Subtracting the second equation from the first, we get: \(A(x1 - x2) = 0.\)

Since \(x1\) and \(x2\)are distinct solutions, we know that \(x1 - x2 ≠ 0\).

Therefore,\(A(x1 - x2) = 0\) this implies that the columns of A are linearly dependent. That is, there exist scalars \(c1, c2, ..., cn\) (not all zero) such that

\(c1a1 + c2a2 + ... + cnan = 0,\)

where \(a1, a2, ...,\)and an are the columns of A.

Let x be any solution of Ax = b. Then we have:\(A(x + tx3) = Ax + tAx3 = b + tAx3\)

where t is any scalar. But we know that \(Ax3 = A(ux1 + 7x2) = uAx1 + 7Ax2 = ub + 7b = 8b,\) since \(Ax1 = Ax2 = b.\)

Therefore, we have: \(A(x + tx3) = b + t(8b) = (1 + 8t)b.\)

Thus, \(x + tx3\) is a solution of \(Ax = b\) for any scalar t.

In particular, if we take \(t = 1/n,\) where n is any nonzero integer, we get:

\(x + (1/n)x3 = (1 - 1/n)x + (1/n)ux1 + (7/n)x2.\)

Since \(u + 7 = 1,\) we have:\((1/n)ux1 + (7/n)x2 = (1/n)((1 - u)x1 + ux1 + 7x2) = (1/n)x1 + (7/n)x2.\)

Therefore, we can write:\(x + (1/n)x3 = (1 - 1/n)x + (1/n)x1 + (7/n)x2.\)

This shows that \(x + (1/n)x3\) is another solution of Ax = b for any nonzero integer n. Since we can find infinitely many integers n such that 1/n is nonzero, we conclude that there are infinitely many solutions of .

Therefore, if the linear system \(Ax = b\) has more than one solution, then it must have infinitely many solutions.

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The Minimum number of lines needed to cover all zeroes is 2.

To determine the minimum number of lines needed to cover all the zeroes after row and column reductions, we must first perform the reductions on the given matrix. The matrix is not provided in a standard format, but I will assume it is a 3x3 matrix based on the 9 given numbers:
Initial matrix:
4 7 6
6 6 9
6 9 6
Row reduction - Subtract the minimum value of each row from all elements in that row.
Row 1: 4 - 4 = 0, 7 - 4 = 3, 6 - 4 = 2
Row 2: 6 - 6 = 0, 6 - 6 = 0, 9 - 6 = 3
Row 3: 6 - 6 = 0, 9 - 6 = 3, 6 - 6 = 0
Row-reduced matrix:
0 3 2
0 0 3
0 3 0
Column reduction - Subtract the minimum value of each column from all elements in that column.
Column 1: 0 - 0 = 0, 0 - 0 = 0, 0 - 0 = 0
Column 2: 3 - 0 = 3, 0 - 0 = 0, 3 - 0 = 3
Column 3: 2 - 2 = 0, 3 - 2 = 1, 0 - 0 = 0
Row- and column-reduced matrix:
0 3 0
0 0 1
0 3 0
Draw the minimum number of lines needed to cover all zeroes.
1. Draw a line through the first row, covering one zero.
2. Draw a line through the second column, covering the two remaining zeroes.
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Answer:

13

Step-by-step explanation:

A trapezoid is a quadrilateral (has four sides and four angles) with two parallel opposite sides. These parallel sides are known as the bases.

According to the mid segment theorem of a trapezoid, The mid segment of a trapezoid is half the lengths of the two parallel sides.

Given that TW is the mid segment, UV and RS are the parallel bases, hence:

\(TW=\frac{UV+RS}{2} \\\\-4z+55=\frac{(-z+15)+(-3z+43)}{2} \\\\-4z+55=\frac{-4z+58}{2} \\\\-8z+110=-4z+58\\\\-4z+8z=110-58\\\\4z=52\\\\z=13\)

Answer:

Whats the question

Step-by-step explanation:

Draw the line: Connect the two points (0, 5) and (3, 7) with a straight line. This is the graph of the line with a slope of 2/3 and a y-intercept of 5.

To graph the line with slope 2/3 and y-intercept 5, we first need to understand what slope and intercept mean. The slope is the measure of how steep the line is, while the intercept is the point where the line crosses the y-axis.

To graph this line, we can start by plotting the y-intercept at (0, 5). This means that the line passes through the point (0, 5). Next, we can use the slope to find other points on the line.

The slope of 2/3 means that for every 3 units we move horizontally, we move 2 units vertically. So, starting from the y-intercept at (0, 5), we can move 3 units to the right and 2 units up to get to the point (3, 7). We can continue this pattern to find more points on the line.

Once we have a few points on the line, we can connect them with a straight line to complete the graph. The final graph should show a line that starts at (0, 5) and slants upwards towards the right with a slope of 2/3.

Overall, the key terms to keep in mind when graphing a line with slope and y-intercept are slope, intercept, and graph. By understanding these concepts and using them to find points on the line, we can easily plot a graph that accurately represents the line.

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Answer:

A

Step-by-step explanation:

it should be A because if

x-axis represents the time, at the beginning of the day x = 0 and

y-axis the $, at the beginning of the day should be y= 0

Answer:

a linear graph would best represent the relationship

Step-by-step explanation:

just did the khan academy thing

Answer:

stationary time is 2 hours 30 minutes

Traveling time is 3 hours 30 minutes

Step-by-step explanation:

There are two distinct line types on the graph

the horizontal ones and the ones going towards the upper part

The horizontal ones represent the stationary positions while the climbing one represent the traveling time

The horizontal ones are;

3 to 3:30

4-5

6:30 to 7:30

Time here is ;

30

minutes + 1 hour + 1 hour = 2 hours 30 minutes

The traveling time;

2 - 3

3:30 to 4

5 to 6:30

7:30 to 8

1 + 30 min + 1hr 30 + 30

= 3 hours 30 minutes

Answer:

Travelling-3 hours 30 minutes

Stationary-2.5 hours

Step-by-step explanation:

Answer:

He has ran 250 metres.

Step-by-step explanation:

Since he runs 5 meters per second, you would obviously multiply 50 times 5, which is 250.

Answer:

250 meters

If you do 5 x 50 you will get how far the runner ran because I mean that's how averages work, I really hope this helped!

Answer:

5

Step-by-step explanation:

If you multiply each side by 5 to get 42:30 then subtract 42 by 30, 12 is leftover.

Answer:

The numbers should be 42 and 30

Step-by-step explanation:

Okay, so the equation should be:

7x - 5x = 12

2x = 12

x = 6

and find the numbers:

7 x 6 = 42

5 x 6 = 30

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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Answer:

7

Step-by-step explanation:6

Answer:

situation 1 is (80%)

situation 2 is (95%)

situation 3 is  (33 1/3%)

situation 4 is (15%)

The inverse Laplace transform of F(s) = 10(s²+1) / [s² (s + 2)] is f(t) = 5t - 5sin(2t) + \(10e^(^-^2^t^).\)

To find the inverse Laplace transform of F(s), we first express F(s) in partial fraction form. The denominator s² (s + 2) can be factored as s² (s + 2) = s² (s + 2). Using partial fraction decomposition, we can express F(s) as:

F(s) = A/s + B/s² + C/(s + 2),

where A, B, and C are constants to be determined.

Next, we multiply both sides of the equation by the common denominator s² (s + 2) to eliminate the denominators. This gives us:

10(s²+1) = A(s + 2) + Bs(s + 2) + Cs².

Expanding and collecting like terms, we have:

10s² + 10 = As + 2A + Bs² + 2Bs + Cs².

Comparing coefficients of s², s, and the constant term on both sides of the equation, we can determine the values of A, B, and C. Solving the resulting system of equations, we find A = 5, B = -10, and C = 0.

Now, we have the expression for F(s) in terms of partial fractions as:

F(s) = 5/s - 10/s² - 10/(s + 2).

To find the inverse Laplace transform of F(s), we use the inverse Laplace transform table to obtain the corresponding time-domain functions for each term. The inverse Laplace transform of 5/s is 5, the inverse Laplace transform of -10/s² is -10t, and the inverse Laplace transform of -10/(s + 2) is \(10e^(^-^2^t^).\)

Finally, we add the inverse Laplace transforms of each term to obtain the solution f(t) = 5t - 5sin(2t) + \(10e^(^-^2^t^)\).

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Answer:

B

Step-by-step explanation:

a fraction is equal to 0 when the numerator is 0

x - 4 = 0

x = 4

The correct answer is x=4.

Step-by-step explanation:

When the numerator is 0, a fraction is equal to 0.

x - 4 = 0

x = 4

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Answer:

Step-by-step explanatio

it can be 7 children and 1 adult, or 3 adults.

i'd say it's,  c = 28, while a = 14

There are 40 adults and 2 children had haircuts on Friday.

An equation is an expression that shows the relationship between two or more numbers and variables.

We are given the system of equation as;

x + y = 42

4x + 14y = 568

We need to solve, let 'x' = 42-y and substitute this expression for 'x' in the second equation to get:

4(42-y) + 14y = 568

168 - 4y + 14y = 568

168 + 10y = 568

10y = 400

y = 40

therefore, x = 2

There are 40 adults and 2 children had haircuts on Friday.

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Answer:

a+b=b+a

Step-by-step explanation:

2+3=3+2

=5

:)))))

Answer:

5/9 x 2/9 = 10/81 is a rational number.

Step-by-step explanation:

5/9 x 2/9 = 10/81 is a rational number.

Commutative Property : Multiplication of rational numbers is commutative. Therefore, Commutative property is true for multiplication.

commutative property under rational numbers with an example

Commutative property of addition of rational numbers: Two rational numbers can be added in any order. Associative property of addition of rational numbers: While adding three rational numbers, they can be grouped in any order.

Absolute value which means even negative integers are considered as positive

Answer:

7.96 cm or rounded, it is C. 8

Step-by-step explanation:

Answer:

The accurate number is 7.961 but round that up to 8

A density graph of temperatures shows the frequency of different temperature values.

A density graph for all of the possible temperatures from 60 degrees to 260 degrees can be used to find the probability density function (PDF) of a continuous random variable that represents temperature within that range. The PDF describes the relative likelihood of observing different temperature values within the range, taking into account the continuous nature of temperature.

The density graph shows the distribution of temperature values, with the height of the graph at a given temperature indicating the relative probability of observing that temperature. The area under the density graph within a given range of temperatures represents the probability of observing a temperature within that range.

Therefore, a density graph can be used to find the probabilities of observing different temperatures within the given range and to analyze the distribution of temperatures within that range.

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