2. Ron's car left four skid marks on the road after he slammed his foot
on the brake pedal to make an emergency stop. The police measured
them to be 55 ft, 55 ft, 62 ft, and 62 ft. What skid distance will be
used when calculating the skid speed formula?

Answer:

6/35

Step-by-step explanation:

20/35 - 14/35= 6/35

Answer:

0.1214 or 6/35

Step-by-step explanation:

didn't know if they were whole numbers with division signs or fractions

Answer: Hi

Step-by-step explanation:

Cost Price per bottle : $1.10

Selling price per bottle : $2.50

2.50 - 1.10 = 1.40

$1200=1.40B

B=858

The company must sell 858 Soda´s in order to equal it daily cost.

Hope this help. Be safe

Answer: X= -2.1667 Y= 13

Answer:

The correct options are;

To determine if it is a parallelogram use the converse of the parallelogram diagram diagonal theorem. This states that if the diagonals bisect each other, then the quadrilateral is a parallelogram

The midpoint of \(\overline {HJ}\) is (2, 2) and the midpoint of  \(\overline {IK}\) is (2, 2)

Therefore, HIJK is a parallelogram because the diagonals have the same (share a common) midpoint, which means they bisect each other

Step-by-step explanation:

The given coordinates are;

H(0, 5), I(3, 3), J(4, -1), K(1, 1)

The diagonals are;

HJ and IK

The equations of the diagonals are;

Slope of segment HJ = (5 - (-1))/(0 - 4) = -3/2

Therefore, y - 5 = -3/2(x - 0)

When x = 0, y = 5, therefore c = 0 which gives;

y = -3/2x + 5

The slope of segment IK = (3 - 1)/(3 - 1) = 1

Therefore, y - 3 = x - 3

y = x

To get the intersection point, we have;

-3/2x + 5 = x

5 = 5/2x

x = 5/(5/2) = 2

y = x = 2

The coordinate of the intersection point is (2, 2)

The coordinates of the mid point if gotten from ((x₁ + x₂)/2, (y₁ + y₂)/2)

For HJ, we have;

((0 + 4)/2, (5 + (-1))/2) = (2, 2)

The coordinate of the midpoint of IK is ((3 + 1)2, (3 + 1)/2) = (2, 2)

Therefore, the diagonals bisect each other

Therefore we have;

To determine if it is a parallelogram use the converse of the parallelogram diagram diagonal theorem . This states that if the diagonals bisect each other, then the quadrilateral is a parallelogram

The midpoint of \(\overline {HJ}\) is (2, 2) and the midpoint of  \(\overline {IK}\) is (2, 2)

Therefore, HIJK is a parallelogram because the diagonals have a common midpoint which means they bisect each other

Answer:

1 bisect each other

2 (2, 2)

3 have the same midpoint

Step-by-step explanation:

Answer:

X = 3

Mode: 11median: 9

Step-by-step explanations

3x = 3*2 = 6

(6,7,8,8,9,10,11,11,11)/9 = 81/9 = 9

The value of X = 3

Mode: 11

Median: 9

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Median represents the middle value of the given data when arranged in a particular order.

Mode is that number that appears most frequently in the given set of data.

We are given that  the ages in years of members of group 8, 11, 8,10 ,6, 7, 3x ,11, 11 if the mean age is 9 years

3x = 3(2 )= 6

Mean = (6,7,8,8,9,10,11,11,11)/9

= 81/9

= 9

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Answer:

Step-by-step explanation:

This distance can be calculated by using the distance formula. The distance between two points ( x 1 , y 1 ) and ( x 2 , y 2 ) can be defined as d = ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 .Jun 2, 2017

The ratio of consecutive errors can provide insights into the convergence behavior of an iterative process and how it relates to the number of steps used. In general, as the number of steps increases, the ratio of consecutive errors tends to approach a constant value, indicating that the iterative process is converging towards a solution.

When solving problems iteratively, such as in numerical methods or optimization algorithms, the goal is to minimize the error or discrepancy between successive approximations of the solution.

The ratio of consecutive errors is a measure of how much the error is changing from one step to the next.

In the early stages of an iterative process, the ratio of consecutive errors may vary significantly as the algorithm refines its solution.

However, as the number of steps increases, the algorithm typically approaches convergence, where the solution becomes more accurate and the errors become smaller.

When the iterative process converges, the ratio of consecutive errors tends to stabilize and approach a constant value.

This constant value represents the rate at which the errors are decreasing with each iteration.

A smaller ratio indicates faster convergence, as the errors decrease more rapidly, while a larger ratio suggests slower convergence.

By monitoring the ratio of consecutive errors, practitioners can assess the convergence behavior of an iterative process.

If the ratio remains relatively constant as the number of steps increases, it indicates stable convergence.

However, if the ratio fluctuates or does not approach a constant value, it may indicate convergence issues or the need for further adjustments in the algorithm.

Understanding the relationship between the ratio of consecutive errors and the number of steps used provides valuable insights into the convergence properties of iterative processes and helps guide the optimization of algorithms for more efficient and accurate solutions.

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Hello! :)

543,982 rounded to the nearest hundred thousand would be 500,000. Because the digit 4 is less than 5, it would be 600,000. If the digit where the 4 is was 5 or more, it would round to 600,000,

543,982 to the nearest hundred is 500,000.

Hope this helped you!

THEDIPER

Answer:

500,000

Step-by-step explanation:

Answer:

Value of x = 3

Step-by-step explanation:

Given:

0.25 (10 x - 3) = 1.5(x + 2) - 0.75

Find:

Value of x

Computation:

0.25 (10 x - 3) = 1.5(x + 2) - 0.75

2.5 x - 0.75 = 1.5 x + 3 - 0.75

x = 3

Value of x = 3

Answer:

x=3

Step-by-step explanation:

Lydia earns $52.5 more than Gabrielle after 3 years.

percentage, a relative value indicating hundredth parts of any quantity.

we can use the formula for compound interest:

\(A = P(1 + r/n)^n^t\)

where A is the final amount,

P is the principal (initial investment),

r is the annual interest rate (as a decimal),

n is the number of times the interest is compounded per year, and

t is the number of years.

For Lydia (n=365)

A=1000(1+0.0525/365)¹⁰⁹⁵

A=1115.7

For Gabrille, we use the same formula but with n = 2 (compounded semi-annually):

A = 1000(1 + 0.0525/2)⁶

A = 1000(1.0265625)⁶

A = 1168.2

To find the difference in the amounts earned, we subtract Gabrielle's amount from Lydia's:

1168.2- 1115.7 = 52.5

Hence, Lydia earns $52.5 more than Gabrielle after 3 years.

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The inequality to represent the possible number of hours Kat can afford to book the DJ is 80x + 225 ≤ 970 and one possible length Kat can afford to book the DJ is 9 hours.

(a) Let x be the number of hours that Kat can book the DJ. Then, the total cost of the DJ is 80x, and the total cost of the party is 80x + 225.

Since Kat has $410 saved and will earn another $560, the total amount she can spend on the party is $410 + $560 = $970.

Therefore, we can write the following inequality to represent the possible number of hours Kat can afford to book the DJ:

80x + 225 ≤ 970

b) To solve for x, we can start by subtracting 225 from both sides of the inequality:

80x ≤ 745

Then, we can divide both sides by 80:

x ≤ 9.3125

Since Kat can only book the DJ in whole hours, the largest integer less than or equal to 9.3125 is 9. Therefore, one possible length Kat can afford to book the DJ is 9 hours.

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Probability of Two people was born on Friday = 1/49

Possibility of happening an event is called probability. It is given by the ratio of favorable outcome to the total possible outcome. Probability is different kinds such as independent probability, dependent probability, conditional probability and so on.

Assume that birthdays are equally distributed throughout the week.

probability of one people having birthday on Friday = 1/ 7

probability of another people has birthday on Friday = 1/7

probability of two people was born on Friday = 1/7× 1/7 = 1/ 49

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The value of x from the given figure is 12 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the given figure,

Consider ΔADC and ΔABC,

∠C=∠C (Reflex property)

AC=AC (Reflex property)

∠BAC=∠CDA=90°

By AA similarity, ΔADC ~ ΔABC

So, AC/BC = DC/AC

x/36 = 4/x

x²=36×4

x²=144

x=12 units

Therefore, the value of x from the given figure is 12 units.

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The finite difference approximation for a Neumann boundary condition, \(\left(\frac{df}{dx}\right)\), at node \(n\) (right boundary) to \(O(h^2)\) is given by

\(\left(\frac{df}{dx}\right)_n \approx \frac{f_{n-2} - 4f_{n-1} + 3f_n}{2h}\),

where \(f_{n-2}\), \(f_{n-1}\), and \(f_n\) represent the function values at nodes \(n-2\), \(n-1\), and \(n\) respectively, and \(h\) represents the spacing between the nodes.

To derive this approximation, we start with the Taylor series expansion of \(f_{n-1}\) and \(f_n\) around \(x_n\):

\(f_{n-1} = f_n - hf'_n + \frac{h^2}{2}f''_n - \frac{h^3}{6}f'''_n + \mathcal{O}(h^4)\),

\(f_{n-2} = f_n - 2hf'_n + 2h^2f''_n - \frac{4h^3}{3}f'''_n + \mathcal{O}(h^4)\).

By subtracting \(4f_{n-1}\) and adding \(3f_n\) from the second equation, we eliminate the first-order derivative term and retain the second-order derivative term. Dividing the result by \(2h\) gives us the desired finite difference approximation to \(O(h^2)\).

In conclusion, the finite difference approximation for a Neumann boundary condition, \(\left(\frac{df}{dx}\right)\), at node \(n\) (right boundary) to \(O(h^2)\) is \(\left(\frac{df}{dx}\right)_n \approx \frac{f_{n-2} - 4f_{n-1} + 3f_n}{2h}\). This approximation is obtained by manipulating the Taylor series expansion of \(f_{n-1}\) and \(f_n\) to eliminate the first-order derivative term and retain the second-order derivative term, resulting in a second-order accurate approximation.

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Answer: To simplify your expression using the Simplify Calculator, type in your expression like 2(5x+4)-3x.

The simplify calculator will then show you the steps to help you learn how to simplify your algebraic expression on your own.

Type ^ for exponents like x^2 for "x squared". Here is an example:

Step-by-step explanation:

don't know if this will help but I hope s

Answer:

x = 4, JL = 2

Step-by-step explanation:

Given that MN bisects JL at K , then

JK = KL , substitute values

x - 3 = 13 - 3x ( add 3x to both sides )

4x - 3 = 13 ( add 3 to both sides )

4x = 16 ( divide both sides by 4 )

x = 4

Thus

JL = JK + KL = x - 3 + 13 - 3x = 10 - 2x = 10 - 2(4) = 10 - 8 = 2

Answer: John is now 18 years old

Step-by-step explanation:

Let, John's age is now x years.

5 years ago, he was (x - 5) years old

In 8 years, he will be (x + 8) years old

By the given condition,

x - 5 = 1/2 (x + 8)

⇒ 2 (x - 5) = x + 8

⇒ 2x - 10 = x + 8

⇒ 2x - x = 8 + 10

⇒ x = 18

Answer:

Step-by-step explanation:

7.5 pounds divided by 14 days= 0.5357 pounds or 0.54

Answer:

684

Step-by-step explanation:

6-h-4+44

The newborn death rate is calculated by dividing the number of newborn deaths by the number of live births and multiplying by 100.

The newborn death rate, also known as the neonatal mortality rate, is a critical indicator used in public health to assess the health and well-being of newborns. It is calculated by dividing the number of newborn deaths within a specified period by the number of live births during the same period and then multiplying the result by 100.

This calculation is performed to express the newborn death rate as a percentage, making it easier to interpret and compare across different populations or time periods. By dividing the number of deaths by the number of live births, we obtain the proportion of newborns who die within a certain timeframe. Multiplying this proportion by 100 provides the rate per 100 live births, which allows for a standardized measure of comparison.

The newborn death rate is a crucial statistic in assessing the quality of healthcare services, identifying areas with high mortality rates, and monitoring the effectiveness of interventions aimed at reducing neonatal deaths. It serves as a vital tool for policymakers, healthcare professionals, and researchers in evaluating and improving newborn health outcomes.

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(a) If the investor likes higher mean but dislikes higher variance, they will hold assets that offer a higher mean return and a lower variance. In this case, the investor will choose assets with a higher expected payoff and lower standard deviation. Looking at the given matrix, the assets 2 and 3 have higher expected payoffs (5 and 3) compared to asset 1 (0). Therefore, the investor will hold assets 2 and 3 in their portfolio.

(b) Denoting the amount of asset i the investor holds as zi, the mean of the portfolio (μ) can be derived as follows:

μ = z2 * μ2 + z3 * μ3,

where μ2 and μ3 are the mean values of assets 2 and 3, respectively.

(c) The standard deviation of the portfolio (σ) can be derived as follows:

σ^2 = z2^2 * σ2^2 + z3^2 * σ3^2 + 2 * z2 * z3 * Cov(2, 3),

where σ2^2 and σ3^2 are the variances of assets 2 and 3, respectively, and Cov(2, 3) is the covariance between assets 2 and 3.

(d) The investor's budget constraint can be written as:

w0 = z1 * p1 + z2 * p2 + z3 * p3,

where w0 is the initial wealth, z1, z2, and z3 are the amounts of assets 1, 2, and 3 held, and p1, p2, and p3 are the prices of assets 1, 2, and 3, respectively.

(e) The efficiency frontier expresses the expected payoff (μ) in terms of the standard deviation (σ) and is derived from the expressions for μ and σ obtained in (b) and (c) along with the investor's budget constraint from (d).

(f) The efficiency frontier, along with the three available assets, can be plotted on a graph with the standard deviation (σ) on the X-axis and the expected payoff (μ) on the Y-axis.

(g) To find the optimal portfolio for the investor with preferences U(μ, σ) = μ - 10σ^2, it is approached as an optimization problem using the constraint derived in (e). The optimal values of (μ, σ) that maximize U(μ, σ) are found.

(h) The asset holdings (z2, z3) that form the optimal portfolio found in (g) will be determined based on the optimal values of (μ, σ) obtained.

(j) If assets can be sold short, the investor can have negative holdings in some assets. This allows for more flexibility in constructing the portfolio by taking short positions. The optimal portfolio holdings and the efficiency frontier may change as short selling allows for potential gains from downward movements in asset prices, introducing new opportunities for portfolio diversification and risk management.

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If Mrs hall is making a circular hard for our outdoor green space the garden has a diameter of 11m then Mrs. Hall spent $198.37 on the plastic fencing.

The circumference of a circle can be calculated as C = πd, where d is the diameter and π is approximately 3.14.

The diameter of the garden is 11m, so the circumference is:

C = πd

= 3.14 × 11m

= 34.54m

Mrs. Hall needs to buy enough plastic fencing to go around the edge of the circular garden, which has a length equal to the circumference of the circle.

The cost of the fencing is $5.75 per meter, so the total cost will be:

Total cost = cost per meter × length of fencing

= $5.75/m × 34.54m

= $198.37

Therefore, Mrs. Hall spent $198.37 on the plastic fencing.

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i like mantises! their cute funky bugs. they can turn their heads 180 degrees and are the only insect that can move their head. there are around 2,000 spices of them, most live in tropics, but 18 types are in north America. I have a praying mantis pet, and her name is creature, shes about 6 inches long!

Answer:

m < - 6.4

Step-by-step explanation:

- 4 + 10m < - 68 ( add 4 to both sides )

10m < - 64 ( divide both sides by 10 )

m < - 6.4

Answer:

m can be -9

Step-by-step explanation:

-4+10m < -68

10m < -64

m < -6.4

using this statement, m can be any value less than -6.4, such as -9.

Answer:

20% off is better and it is the only offer which is under the budget.

20% off of the $1,500 dining set is $300, and the dining set price will be 1500 - 300 = $1200.

And by applying the $150 coupon, the dining set price will be $1500 - $150 = $1350.

Therefore 20% off is better and it is the only offer which is under the budget.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Really do not want to know

Answer:

y = 36

Step-by-step explanation:

\(\frac{y}{3}+2 = 14\\\\\frac{y}{3}=14-2\\\\\frac{y}{3}=12\\\\y = 12*3\\\\y = 36\)

The third side that we can not see in the image that is shown has a size of 15.

The hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

If c^2 = a^2 + b^2

c = √a^2 + b^2

c = √12^2 + 9^2

c = 15

Thus the missing side is 15 from the calculation.

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Answer:

Explanation:

y = 90 (90 degree angle)

90 - 43 = 47, so x = 47

x = 92 because 180 - 88 = 92

x = 92 and y = 88 because 92 + 88 = 180

x = 28 because 90 - 62 = 28

x = 90 because 180 - 90 = 90

y = 85 because 42 + 53 = 95, 180 - 95 = 85

x = 133 because 180 - 47 = 133

- PNW

To solve the given linear programming (LP) problem using the graphical LP approach, we will plot the feasible region, identify the corner points, and determine the optimal solution.

Here are the steps:

Step 1: Plot the constraints:

- Plot the line 5x + y = 32, which represents the constraint 5x + y ≤ 32. To do this, find two points that lie on this line by assigning values to x and solving for y. For example, when x = 0, y = 32, and when x = 6, y = 2. Connect these points to draw the line.

- Plot the line x + 3y = 12, representing the constraint x + 3y ≥ 12. Again, find two points on this line and connect them. For instance, when x = 0, y = 4, and when x = 12, y = 0.

- Draw the lines representing x = 20 and y = 20 as vertical and horizontal lines passing through x = 20 and y = 20, respectively.

Step 2: Identify the feasible region:

- Shade the area that satisfies all the constraints. The feasible region is the intersection of the shaded regions.

Step 3: Identify the corner points:

- Find the coordinates of the corner points of the feasible region. These points are the intersections of the lines representing the constraints.

Step 4: Evaluate the objective function:

- Calculate the objective function Z = 3x + 12y for each corner point.

Step 5: Determine the optimal solution:

- Identify the corner point that gives the minimum value of the objective function Z. This point corresponds to the optimal solution of the LP problem.

Once you have completed these steps, you will have the complete solution to the LP problem using the graphical LP approach.

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Answer:

\(A=65 inches^2\)

Step-by-step explanation:

From the question we are told that:

Length of wiper \(x=18\)

Length of blade \(y=12\)

Angle\(\theta=130\textdegree\)

Generally the equation for Cover Area windshield wiper A_w  is mathematically given by

 \(A_w=x^2*\frac{\theta}{360}\)

 \(A_w=18^2*\frac{130}{360}\)

 \(A_w=117 \textdegree\)

Generally the equation for Cover Area windshield blade A_b  is mathematically given by

 \(A_b=y^2*\frac{\theta}{360}\)

 \(A_b=12^2*\frac{130}{360}\)

 \(A_b=52 \textdegree\)

Therefore total Area wiped by windshield wiper A

 \(A=A_w-A_b\)

 \(A=65 inches^2\)