A taho vendor having lost control of his cart down a slight hill runs after it in an attempt to keep it from running into a concrete wall however he did not get there in time and the 100 kg cart crashes assuming that in its downhill run the cart got a final velocity of 2m/s and that the impact stopped the cart in 0.15s, (a) determine the change in the cart's momentum (b) estimate the average force that the wall exerts on the cart (neglecting the angle of the hill) (c) determine the direction of the impulse that acted on the cart

Answer:

4/6

Step-by-step explanation:

6r + 3b = 9

?g/3b

2/3 = 2g/3b

6 + 3 + 2 = 11

15 - 11 = 4

4 yellow marbles : 6 red marbles

4/6

Answer:right angles, two sets of parallel sides, and opposite sides equal.

Step-by-step explanation:

a. Salary is predicted to increase by approximately 0.012% if ros increases by 50 points.

The effect of ros on salary is not practically large.

b. The null hypothesis is that ros has no effect on CEO salary, and the alternative hypothesis is that ros has a positive effect.

The coefficient of ros is statistically insignificant at the 10% significance level, indicating that there is no evidence to support a positive effect of ros on salary.

c. Ros may not be included in the final model explaining CEO compensation in terms of firm performance since its coefficient is not statistically significant, suggesting that it has little impact on CEO salary after controlling for sales and role.

a. To calculate the percentage increase in salary if ros increases by 50 points, we can use the coefficient of ros from the regression equation. The coefficient of ros is 0.00024.

Percentage increase in salary = (Coefficient of ros) \(\times\) (Change in ros)

= 0.00024 \(\times\) 50 = 0.012

Therefore, the salary is predicted to increase by 0.012%, or 0.0012 in decimal form, if ros increases by 50 points.

To determine if ros has a practically large effect on salary, we need to consider the magnitude of the coefficient in relation to the overall scale of the data and other coefficients.

In this case, the coefficient of ros is relatively small (0.00024), suggesting that ros has a minor effect on CEO salary.

Therefore, ros does not have a practically large effect on salary.

b. To test the null hypothesis that ros has no effect on salary against the alternative that ros has a positive effect, we can perform a hypothesis test on the coefficient of ros.

The null hypothesis (H0) would be that the coefficient of ros is equal to zero (no effect), and the alternative hypothesis (Ha) would be that the coefficient is greater than zero (positive effect).

We can use the t-test statistic to test this hypothesis. With n = 209 and an alpha level of 0.10, we can compare the t-value for the coefficient of ros with the critical t-value from the t-distribution table.

If the t-value exceeds the critical t-value, we reject the null hypothesis in favor of the alternative.

c. Whether to include ros in a final model explaining CEO compensation in terms of firm performance depends on several factors.

Firstly, the coefficient of ros in the regression equation is relatively small (0.00024), indicating a minor effect on CEO salary.

Secondly, the p-value associated with the coefficient should be considered. If the p-value is less than the chosen significance level (e.g., 0.05), it suggests that the coefficient is statistically significant and not due to chance.

Additionally, other factors such as the theoretical significance of ros in relation to CEO compensation and the overall model fit (R2) should also be taken into account. If ros is theoretically meaningful and improves the overall model fit, it may be reasonable to include it in the final model. However, if ros is not theoretically relevant or does not contribute significantly to the model, it may be excluded.

Therefore, the decision to include ros in the final model should consider the statistical significance, theoretical relevance, and overall model fit, in addition to practical considerations and domain knowledge.  

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Answer:

this is sum u made up

Step-by-step explanation:

Answer:

Proportional

Step-by-step explanation:

\(\frac{10}{24}= \frac{5}{12}\) the ratio is 2:1

5 x 2 = 10

12 x 2=24

The ratios are proportional.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

−Kallmekrish

Answer:

The given ratios are proportional

Step-by-step explanation:

To consider the fractions as "proportional", they must be equivalent. Let us assume that the fractions are equivalent. Then, we get;

\(\implies \dfrac{10}{24} = \dfrac{5}{12}\)

When using cross multiplication, we get;

\(\implies \dfrac{10}{24} = \dfrac{5}{12}\)

\(\implies 10 \times 12 = 24 \times 5\)

When simplified, we get;

\(\implies 10 \times 12 = 24 \times 5\)

\(\implies 120 = 120 \ \checkmark\)

Therefore, the relationship is proportional.

According to this, 3/10 of an inch on a map corresponds to 7/8 miles in actual distance.

In the case of a unit rate expressed as a fraction, the denominator is 1 unit. Divide the denominator by the denominator to represent a rate as a unit rate.

According to this, 3/10 of an inch on a map corresponds to 7/8 miles in actual distance.

Conversion Unit, This unit of conversion, also known as a rate, is utilized to help us map out greater numbers on a smaller piece of paper. Miles to Inches conversion factor is

Data provided 3/10 in equals 7/8 miles.

This suggests that we would depict the real 7/8 miles of distance on the map by 3/10 inches. Inevitably, this would result in a reduction in size or length.        

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False. It is not best to determine a few key metrics and stick to them rigidly.

The choice of metrics should be driven by the specific objectives and context of the situation. Different goals may require different metrics to effectively measure progress and success. Relying solely on a fixed set of metrics may overlook important aspects or fail to capture the full picture.

Businesses and organizations operate in dynamic environments that evolve over time. Factors such as market conditions, customer needs, and industry trends can change, necessitating a reassessment of metrics. By being open to adjusting and refining metrics, organizations can ensure that they align with current priorities and provide valuable insights.

Moreover, a narrow focus on a limited set of metrics can lead to a skewed perspective and miss out on valuable information. Taking a broader view and considering a range of relevant metrics can provide a more comprehensive understanding of performance and help identify areas for improvement.

Therefore, it is important to regularly evaluate and adjust metrics to ensure they remain meaningful and aligned with the evolving goals and context of the situation. This flexibility allows organizations to adapt and optimize their measurement approaches for better decision-making and success.

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Answer:

2835

Step-by-step explanation:

Answer:

Yes it is.

Step-by-step explanation:

All whole numbers are integers.

the solution for the initial value problem is: u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t) where λ = ± sqrt(-4n² / a), and n is a non-zero integer.

The given partial differential equation is:

au(x, t) = 4 * (d²u(x, t) / dt²) / (dx²)

a) BCs (Boundary Conditions):

We have u(0, t) = 0 and u(π, t) = 0.

IC (Initial Condition):

We have u(x, 0) = x.

To solve this initial value problem, we need to find a function f(x) that satisfies the given boundary conditions and initial condition.

The solution for f(x) can be found using the method of separation of variables. Assuming u(x, t) = X(x) * T(t), we can rewrite the equation as:

X(x) * T'(t) = 4 * X''(x) * T(t) / a

Dividing both sides by X(x) * T(t) gives:

T'(t) / T(t) = 4 * X''(x) / (a * X(x))

Since the left side only depends on t and the right side only depends on x, both sides must be equal to a constant value, which we'll call -λ².

T'(t) / T(t) = -λ²

X''(x) / X(x) = -λ² * (a / 4)

Solving the first equation gives T(t) = C1 * exp(-λ² * t), where C1 is a constant.

Solving the second equation gives X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) + C3 * cos(sqrt(-λ² * (a / 4)) * x), where C2 and C3 are constants.

Now, applying the boundary conditions:

1) u(0, t) = 0:

Plugging in x = 0 into the solution X(x) gives C3 * cos(0) = 0, which implies C3 = 0.

2) u(π, t) = 0:

Plugging in x = π into the solution X(x) gives C2 * sin(sqrt(-λ² * (a / 4)) * π) = 0. To satisfy this condition, we need the sine term to be zero, which means sqrt(-λ² * (a / 4)) * π = n * π, where n is an integer. Solving for λ, we get λ = ± sqrt(-4n² / a), where n is a non-zero integer.

Now, let's find the expression for u(x, t) using the initial condition:

u(x, 0) = X(x) * T(0) = x

Plugging in t = 0 and X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) into the equation above, we get:

C2 * sin(sqrt(-λ² * (a / 4)) * x) * C1 = x

This implies C2 * C1 = 1, so we can choose C1 = 1 and C2 = 1.

Therefore, the solution for the initial value problem is:

u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t)

where λ = ± sqrt(-4n² / a), and n is a non-zero integer.

Note: Please double-check the provided equation and ensure the values of a and the given boundary conditions are correctly represented in the equation.

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The expression (4d + 7) + (4d² + 8d + 9) simplifies to 4d² + 12d + 16.

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

(4d + 7) + (4d² + 8d + 9)

We can simplify the expression by combining like terms:

(4d + 7) + (4d² + 8d + 9) = 4d² + (4d + 8d) + (7 + 9)

= 4d² + 12d + 16

Therefore, (4d + 7) + (4d² + 8d + 9) simplifies to 4d² + 12d + 16.

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Step-by-step explanation:

The two angles added together = a right angle = 90 degrees

so  8m+7    + 5m+5   = 90

      13m  + 12 = 90

     13m = 78

      m = 78/13 = 6

The data set of the sample is

62 82 79 76 73 70 67 64 61 66 66 66 63 63 63 60 60 71 71

we have that

(84.5-59.5)/5=5

therefore

The classes are equal to

N 1) 59.5-64.5 ------> midpoint 62

N2) 64.5-69.5 -----> midpoint 67

N3) 69.5-74.5 -----> midpoint 72

N4) 74.5-79.5 -----> midpoint 77

N5) 79.5-84.5 -----> midpoint 82

Find out the frequency for each class

N 1) 59.5-64.5 ------> 8

N2) 64.5-69.5 ----->4

N3) 69.5-74.5 ----> 4

N4) 74.5-79.5 ------> 2

N5) 79.5-84.5 ----> 1

see the figure below to better understand the problem

Gabrielle invested at a rate of 3.9% in the first account and at a rate of

4.9% in the second account.

Let's assume that Gabrielle invested in the first account at a rate of x%

and in the second account at a rate of (x+1)%.

Then, the interest earned on the first account would be:

2200 × (x/100)

And the interest earned on the second account would be:

900 × ((x+1)/100)

The total interest earned is given as 133:

2200 × (x/100) + 900 × ((x+1)/100) = 133

Simplifying the above equation, we get:

22x + 9(x+1) = 13300/100

31x = 121/100

x = 3.9

Therefore, Gabrielle invested at a rate of 3.9% in the first account and at a rate of 4.9% in the second account.

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Answer:

I want to say your answer is option B.

Characteristics of a scientific measuring tool consist of:

Measure Ability

Usability

Validity

Reliability

Practicability

Essentially the measuring tool needs to be accurate.

Looking at the options, the answer that fulfills these requirements is Option A.

Best of Luck!

the diagonals of a parallelogram bisect each other

2x=x+2

x=2

Hence the value of x is 2.

In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. Opposite or opposite sides of a parallelogram have equal lengths, and opposite angles of a parallelogram are equal. The congruence of opposite and opposite angles is a direct consequence of the Euclidean parallel postulate, the Euclidean parallelism The condition cannot be proved without resorting to the line postulate or one of its equivalent formulations.

A parallelogram with base b and height h can be divided into trapezoids and right triangles and converted into rectangles as shown in the left figure. This means that the area of ​​a parallelogram is equal to the area of ​​a rectangle with the same base and height.

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Answer:

45%

Step-by-step explanation:

1,450 - 1,000 = 450

the 450 becomes 0.45

to make 0.45 a percent, we multiply it by 100

0.45 x 100 = 45

45%

Answer:

$27.85

Step-by-step explanation:

I think what it means by outstanding charge is that there is something else he also needs to pay that he hasn't input yet. So, going off of that logic,

20+7.85 = 27.85, to find the amount he should pay for both charges to not create another bank fee.

The approximate solutions for f(x) = 0 are -1.8, 0.6, and 1.2. Using  Newton's method, we can approximate the roots to be -1.8, 0.6, and 1.2. These are the three options to select as the approximate solutions for x when f(x) = 0.

To graph the function f(x) = x3 – 4x – 1, we can plot several points and connect them with a curve. Alternatively, we can use calculus to find the critical points, where the derivative is zero, and analyze the behavior of the function near those points.

Using calculus, we can find that the derivative of f(x) is f'(x) = 3x2 - 4. Setting f'(x) = 0 and solving for x, we get x = ±sqrt(4/3). We can then use the second derivative test to see that f''(sqrt(4/3)) > 0, so it is a local minimum, and f''(-sqrt(4/3)) < 0, so it is a local maximum.

Therefore, we know that f(x) has one local maximum and one local minimum. By looking at the graph or using the intermediate value theorem, we can see that f(x) changes sign at x = -2, x = 0, and x = 1.5. This means that there is at least one root in each of the intervals (-∞, -2), (-2, 0), (0, 1.5), and (1.5, ∞).

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Answer:

First answer choice

Step-by-step explanation:

Answer: 106.28 PSI

Step-by-step explanation:

Or 7.33 BAR

Each meter is approximately 0.1 BAR (very, very roughly)

1/2 - 1/6

3/6 - 1/6

2/6 = 1/3

Hope this helps!

The value of side length x of regular pentagon is equals to 16cm.

As given in the question,

A regular pentagon has side length x cm.

A square has side length (x + 4)cm.

Perimeter of a square = 4(x+4)

Perimeter of regular pentagon = 5x

According to the question,

Perimeter of a regular pentagon = Perimeter of a square

⇒5x = 4(x+4)

⇒5x = 4x +16

⇒5x-4x =16

⇒x = 16cm

Therefore, the value of side length x of regular pentagon is equals to 16cm.

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The average speed of Sierra for driving from Steven's house to Amanda's house is 45mph.

We are given that the distance from Sierra's house to Steven's house is 5 miles and Sierra drove at the speed of 36mph.

Also the distance from Steven's house to Amanda's house is 17 miles.

The average speed of Sierra for the whole journey is \(42\frac{18}{31} mph\).

We know that,

\(Speed =\frac{Distance}{Time} \\\\Hence,\\\\Time=\frac{Distance}{Speed} \\\\Time =\frac{5}{36}hours\)

Hence, time taken by Sierra to reach Steven's house is \(\frac{5}{36} hours\).

Now,

Overall distance travelled By Sierra = 5 + 17 = 22 miles

Average speed for the journey = \(42\frac{18}{31} mph=\frac{1320}{31}mph\)

Hence,

Time taken for the whole journey = \(\frac{22}{\frac{1320}{31} } =\frac{31}{60} hours\)

Hence,

Total time taken = \(\frac{5}{36}\)+ Time taken to drive to Amanda's house from       Steven's house

Hence,

\(\frac{31}{60}=\frac{5}{36}\)+ Time taken to drive to Amanda's house from Steven's house

Time taken to drive to Amanda's house from Steven's house=

\(\frac{31}{60}-\frac{5}{36}=\frac{93-25}{180}=\frac{68}{180}=\frac{17}{45} hours\)

Hence,

Speed when Sierra is driving from Steven's house to Amanda's house =

\(\frac{17}{\frac{17}{45} }=\frac{17}{1}*\frac{45}{17}= 45mph\)

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Answer:

2 19/40

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The intermediate step in completing the square for x^2= -16x-37 is (x+8)^2=27.

To complete the square for the given equation, we need to add a constant value to both sides of the equation such that we can factor the left-hand side as a perfect square.

x^2 + 16x = -37

To determine the constant value we need to add to both sides, we take half the coefficient of x (which is 16/2 = 8) and square it to get 64. Then we add 64 to both sides of the equation:

x^2 + 16x + 64 = 27

Now we can factor the left-hand side as a perfect square:

(x + 8)^2 = 27

So the intermediate step in completing the square for x^2= -16x-37 is (x+8)^2=27.

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