how much will a 200kg hippo accelerate if we push it with a force of 800 N(newtons)

Answer:

y= -2/5x+16

y=-3/10x+33/2

The distance traveled by Mrs fuller after 4 minutes is 720 meters.

The distance traveled by Mrs fuller is calculated as follows;

Distance = speed x time

Speed of Mrs fuller = 3 m/s

Time of motion = 4 minutes = 4 min x 60 s/min = 240 seconds

Distance traveled after 4 mins = 3 m/s x 240 s = 720 m.

Thus, the distance traveled by Mrs fuller after 4 minutes is 720 meters.

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The complete question is below:

If she walks at this same rate, what is the closest distance she will walk in 4 minutes?

a. When evaluating a model, we use R2 as a parameter for performance assessment.

b. If model A has a higher MAPE but model B has a higher R2, we choose the model with the higher R2 for better overall performance.

c. For accuracy measures, we typically use MAPE (Mean Absolute Percentage Error) due to its interpretability and ability to capture relative errors.

When evaluating a model's performance, it is crucial to choose the appropriate parameters to assess its accuracy and reliability. In the case of MAPE (Mean Absolute Percentage Error) and R2 (Coefficient of Determination), the choice between them depends on the specific evaluation goals.

The R2 parameter is commonly used for evaluating models because it measures the proportion of the dependent variable's variance that can be explained by the independent variables. R2 provides insights into how well the model fits the data and captures the relationship between the input features and the target variable. Therefore, R2 is a suitable parameter to use when evaluating a model.

When comparing two models, if model A has a higher MAPE but model B has a higher R2, it is advisable to choose the model with the higher R2 value. This is because R2 indicates the proportion of variance explained, suggesting that model B performs better in capturing the underlying patterns and predicting the target variable.

Although model A may have a lower relative error (MAPE), it is crucial to prioritize the model's ability to explain and predict the target variable accurately.

Among MAPE, MAD (Mean Absolute Deviation), and MSD (Mean Squared Deviation), MAPE is commonly preferred as a parameter for accuracy measures. MAPE calculates the average percentage difference between the predicted and actual values, making it interpretable and easily understandable.

It captures relative errors and enables comparisons across different scales and datasets. MAD and MSD, on the other hand, measure absolute and squared errors, respectively, but they do not account for the relative magnitude of the errors. Hence, MAPE is a more suitable parameter for accuracy measures.

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Answer:

416

Step-by-step explanation:

Answer:

£500

Step-by-step explanation:

The distance between the points (-7,1) and (-7,-5) on the coordinate plane is 6 units.

The distance formula is a useful tool in many areas of mathematics and science, such as geometry, physics, and engineering. It can be used to find the distance between two points in any number of dimensions, not just two dimensions as in the coordinate plane In addition, the distance formula can also be used to find the length of a line segment in the coordinate plane, which is just the distance between its endpoints. This can be useful in finding the shortest distance between two points, or in finding the length of a path that connects two points.

The distance formula is a mathematical equation used to find the distance between two points in the coordinate plane. It makes use of the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side (the hypotenuse).

In the coordinate plane, we can represent each point by its coordinates (x1, y1) and (x2, y2). The distance between the points is then given by the equation:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

For the points (-7,1) and (-7,-5), we can plug in the values into the equation:

distance = sqrt((-7-(-7))^2 + (-5-1)^2) = sqrt(0^2 + (-6)^2) = sqrt(36) = 6

So the distance between the points (-7,1) and (-7,-5) on the coordinate plane is 6 units.

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Answer:

Below

Step-by-step explanation:

Remember in a RIGHT triangle ,  cos = adj leg /  hypotenuse

for this one then

cos (37) = 11/x       re-arrange to

x = 11/cos 37

x = 11/ .7986 = 13.8 units

Answer:

  13.77

Step-by-step explanation:

You want the hypotenuse of a right triangle with acute angle 37° and adjacent side 11.

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(37°) = 11/x

Solving for x, we find ...

  x = 11/cos(37°) ≈ 13.77

The measure of side x is 13.77 units.

x (x - 1) (x + 1) = \(x^{3}\)- x

Distribute

1. (x + 1) \(x^{2}\) - x (x + 1) = \(x^{3}\) - x

2. Distribute

   (x + 1) \(x^{2}\) - x (x + 1) = \(x^{3}\) - x

    \(x^{3 }\) + 1 \(x^{2}\) - x (x + 1) = \(x^{3 }\) - x

3. Multiply by 1

   \(x^{3 }\) + 1 \(x^{2}\) - x (x + 1) = \(x^{3 }\) - x

   \(x^{3 }\) + \(x^{2}\) - x (x + 1) = \(x^{3 }\) - x

4. Distribute

  \(x^{3 }\) + \(x^{2}\) - x (x + 1) = \(x^{3 }\) - x

  \(x^{3 }\) + \(x^{2}\) - (\(x^{2}\) + x) = \(x^{3 }\) - x

5. Distribute

   \(x^{3 }\) + \(x^{2}\) - (\(x^{2}\) + x) = \(x^{3 }\) - x

   \(x^{3 }\) + \(x^{2}\) - \(x^{2}\) - x = \(x^{3 }\) - x

6. Combine like terms

   \(x^{3 }\) + \(x^{2}\) - \(x^{2}\) - x =  \(x^{3 }\)- x

   \(x^{3 }\) - x = \(x^{3 }\) - x

7. Move terms to the left side

   \(x^{3 }\) - x = \(x^{3 }\) - x

  \(x^{3 }\) - x - (\(x^{3 }\) - x) = 0

8. Distribute

 \(x^{3 }\) - x - (\(x^{3 }\) - x) = 0

 \(x^{3 }\) - x - \(x^{3 }\) + x = 0

9. Combine like terms

  \(x^{3 }\) - x - \(x^{3 }\) + x = 0

   - x + x = 0

10. Combine like terms

    - x + x = 0

     0 = 0

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Answer:

39 is sydney age

39 +39 is 78 and they said two times

60 liters of 50% and 20 liters of 90% solution should be used.

By mixture and allegation

90                 50

          60

10                  30

10:30 = 1:3

We must mix the acid solution in a 1:3 ratio.

For 1 liter of 60% acid solution, we must use 1l 90% acid solution and 3l  50% acid solutions.

Then for 20 l of 60% acid solution, 1*20 = 20 l of 90% acid solution and 3 * 20 = 60 l of 50% acid solution should be used.

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The tangent ratio of angle y. Therefore, option C is the correct answer.

We need to find the tangent ratio of angle y.

The tangent ratio is yet another trigonometric ratio for right-angled triangles. The tangent ratio is the ratio of the opposite side to the adjacent side of a right triangle.

That is, tanθ=opposite/adjacent

Now, tan y=20/21

Therefore, option C is the correct answer.

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We have the next function

And we must find f(-2) and f(0.3)

To find f(-2) and f(0.3) we need to know that

We can see that we have a constant function because it has the next form

That means, for any value of x the function will always be equal to 4.

Using that, we obtain

ANSWER:

f(-2) = 4

f(0.3) = 4

Answer:

The magnitude of the velocity of the cars after they stick is approximately 3.7 m/s

Step-by-step explanation:

The given parameters are;

The mass of the cart traveling East, m₁ = 10.0 kg

The speed of the cart traveling East v₁=  5.00 m/s

The mass of the cart traveling at an angle of 55° m₂= 7.50 kg

The speed of the cart traveling at an angle of 55°, v₂ = 3.00 m/s

The component of the velocities of the cart raveling at an angle are given as follows;

v = 3.00 × cos(55°)·i + 3.00 × sin(55°)·j

The total momentum before collision = m₁ × v₁ + m₂ × v₂  by substitution is therefore;

m₁ × v₁ + m₂ × v₂ = 10 × 5.00·i + 7.5 × (3.00 × cos(55°)·i + 3.00 × sin(55°)·j)

The total momentum after collision = (m₁ + m₂) × v₃

By the principle of the conservation of linear momentum, whereby the momentum is conserved, we have;

m₁ × v₁ + m₂ × v₂ = (m₁ + m₂) × v₃

10 × 5.00·i + 7.5 × (3.00 × cos(55°)·i + 3.00 × sin(55°)·j) = (10 + 7.5) × v₃

50.00·i + 12.91·i + 18.43·j = 17.5·v₃

62.91·i + 18.43·j = 17.5·v₃

∴ v₃ = (62.91·i + 18.43·j)/17.5 ≈ 3.59·i + 1.05·j

Therefore, the magnitude of the velocity of the cars after they stick = √(3.59² + 1.053²) ≈ 3.7

The magnitude of the velocity of the cars after they stick ≈ 3.7 m/s.

The length of c→ is equal to the sum of the lengths of a→ and b→ when c→ is a perpendicular vector to both a→ and b→, meaning that c→ is at a right angle to both a→ and b→.

This is due to the fact that the length of a vector is equal to the length of the hypotenuse of a right triangle, which is the sum of the lengths of the other two sides (a→ and b→). When c→ is perpendicular to both a→ and b→, the right triangle formed by a→, b→, and c→ is a special type of right triangle called a Pythagorean triangle, in which the length of the hypotenuse (c→) is equal to the sum of the lengths of the other two sides (a→ and b→). Thus, the length of c→ is equal to the sum of the lengths of a→ and b→ when c→ is perpendicular to both a→ and b→.

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The required percentage yield for the reaction when theoretical yield and actual yield are given is calculated to be 85.5 %.  

The maximum mass that can be generated when a particular reaction occurs is referred to as theoretical yield.

Theoretical yield is given as mt = 9.23 g

The actual amount of product recovered is given as ma = 7.89 g

We must comprehend that in order to calculate the reaction's percent yield, we must divide the total amount of product recovered by the utmost amount that can be recovered. If we multiply by 100%, we can represent this fraction as a percentage.

Percentage yield = ma/mt × 100 = 7.89/9.23 × 100 = 85.5 %

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Answer:

negative two fourths so - 2/4

Answer:

-2/4

Step-by-step explanation:

i hope this is correct

Answer:

Step-by-step explanation:

Let the salary in the previous year = $ x

Now the salary = $ (x +1000)

This year savings = $ 5720

13% * (x + 1000)= 5720

0.13 *(x + 1000) = 5720

0.13*x + 0.13*1000 = 5720

0.13x + 130 = 5720        {subtract 130 from both sides}

         0.13x = 5720 - 130

        0.13x  = 5590    {Divide both sides by 0.13}

               x = 5590/0.13

x = $ 43000

Sandra's previous year salary = $ 43000

Answer:

A

Step-by-step explanation:

I just took the quiz

Iota is an imaginary unit number that is denoted by i and the value of iota is \(i=\sqrt{-1}\)

Letter A represent \(z^{3}\)

Given that, z = 1 - i

Now finding  \(z^{3}\) ,

                    \(z^{3}=(1-i)(1-i)(1-i)\\\\=(1+i^{2-2i} )(1-i)\\\\=1+i^{2}-3i-i^{3}+2i^{2}\\\\=1-1-3i+i-2\\\\=-2-2i\)

In given diagram, it is observed that Point A is  \(-2-2i\).

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The least amount of fencing to surround the playground is to use a dimension 130m by 90m

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. Calculating the perimeter has several practical applications.

The area of the play ground is 16900m². To find the possible dimensions of length and width we find the factors of 16900

The factors are 26×650, 1300× 13, 130×90 and 65×260

The formula of perimeter of a rectangle is 2(l+w)

using all these factors, dimension 130 and 90 will give the least perimeter of 440 i.e 2(130+90)= 440.

Therefore the least dimension for fencing the play ground is 130m by 90m.

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Answer: y=39

Step-by-step explanation:

Y(2)-Y(1)/X(2)-X(1)

7-1/5-2=6/3=2

Y-Y(1) = m (X - X(1))

Y-1 = 2 (X-1)

Y-1 = 2X -2

Y = 2X -1

Y= 2(20) -1

Y=39

The p-value for the hypothesis test H₀:μ = 10 against H₁:μ<10 with variance unknown and n = 10 is approximately 0.047.

To determine the p-value, the test statistic is calculated as follows:

t = (sample mean - hypothesized mean) / (standard error of the mean)

The sample mean is calculated as follows:

x = Σx / n

where Σx is the sum of the sample values and n is the sample size.

The hypothesized mean is 10.

The standard error of the mean is calculated as follows:

SE = σ / √n

where σ is the population standard deviation and n is the sample size.

Plugging in the values for the sample mean, hypothesized mean, sample standard deviation, and sample size, we get the following test statistic:

t = (2.5 - 10) / (1.5 / √10) = -4.66

The critical value is found using the t-distribution with n-1 degrees of freedom. The t-distribution is a probability distribution that is used to calculate the p-value for a hypothesis test when the population standard deviation is unknown. The degrees of freedom is the number of data points minus the number of parameters estimated. In this case, the degrees of freedom is 10-1=9.

The critical value for a two-tailed hypothesis test with a significance level of 0.05 and 9 degrees of freedom is 2.306.

The test statistic (-4.66) is less than the critical value (2.306). Therefore, we reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis.

The p-value is the probability of obtaining a test statistic that is at least as extreme as the one observed, assuming that the null hypothesis is true. The p-value for the test statistic -4.66 is approximately 0.047. This means that there is a 4.7% chance of obtaining a test statistic that is at least as extreme as -4.66 if the population mean is actually 10.

Therefore, the best approximation for the p-value for the test statistic is 0.047.

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The radius of the circle is 38.22.

In geometry, a circle is a two-dimensional geometric shape that consists of all points in a plane that are equidistant from a fixed center point. The distance from the center to any point on the circle is called the radius, and the longest distance across the circle passing through the center is known as the diameter.

Let's r be the radius of the circle.

Given that

The arc length = 40 cm,

Central angle = 60°

                       \(= 60 \times \dfrac{\pi}{180}\\ =\dfrac{\pi}{3}\ radians\)

As it is known that

Arc length = radius × Central angle

\(40 = r \times \dfrac{\pi}{3}\)

\(r = 40\times\dfrac{3}{\pi} \\r = \dfrac{120}{3.14} \\r = 38.22\)

Thus, the radius of the circle is 38.22.

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In the given scenario, angle DBC is 51 degrees, and line segment BD is a diameter of circle E. Circle E is inscribed within triangle BCD, where BD is also a diameter.

Line segments DC and CB are secants. We need to determine the measure of arc BC.

Since line segment BD is a diameter, angle BDC is a right angle, measuring 90 degrees. We are given that angle DBC is 51 degrees. In a circle, an inscribed angle is equal to half the measure of its intercepted arc.

Therefore, the measure of arc BC can be calculated as follows:

Arc BC = 2 * angle DBC = 2 * 51 degrees = 102 degrees.

Hence, the measure of arc BC is 102 degrees.

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Answer:

(3, 5)

Step-by-step explanation:

Answer:

(3, 5)

explanation:

solve for x:

5x-10=-3x+14

5x + 3x = 14 + 10

8x = 24

x = 3

solve for y:

y = 5x -10

y = 5(3) - 10

y = 5

In (x, y) form → (3, 5)

Answer:

The answer is 5,368,709,120

Step-by-step explanation:

Examples of like terms in math are x, 4x, -2x, and 7x. These are like terms because they all contain the same variable, x. The terms 8y2, y2, and -2y2 are like terms as well. These all contain the same variable, y, raised to the second power.

Answer:

40°

Step-by-step explanation:

As clarified in an online document, a translation along a vector (which is a line in a plane) of a figure, is equivalent to a translation along a coordinate grid, and therefore, given that a translation is a form of rigid transformation, the the dimensions and inclinations of the rays forming the preimage are the same as those in the image and the angles measurement in the preimage and the image are equal.

Therefore, given that the angle measurement of the image is 40-degrees, the angle measurement of the image is also 40-degree (40°) angle.

Answer: 1870.2

Step-by-step explanation:

Hope this helps!

Answer:

22442 ÷ 12 = 1870.16666.....

A frustum is one of two pieces of a double cone divided at the vertex. A double cone is a three-dimensional shape that is created by connecting two cones with their vertices touching.

When the double cone is cut through the vertex, it creates two pieces known as frustums. A frustum has a circular base and a smaller circular top, which are parallel to each other. The height of the frustum is the distance between the two circular bases.

The volume of a frustum can be calculated using the formula V = (1/3)h(a^2 + ab + b^2), where h is the height, a is the radius of the larger base, and b is the radius of the smaller top. Frustums are commonly found in architecture and engineering, such as in the design of buildings and bridges.

A "napped cone" is one of two pieces of a double cone divided at the vertex. When a double cone is bisected through its vertex, it results in two identical, mirror-image napped cones. These geometric shapes have various applications in mathematics, engineering, and design due to their unique properties.

Napped cones share some characteristics with regular cones, such as having a circular base, but their pointed vertex is replaced by a flat plane where the double cone was divided. This creates a shape that is both symmetrical and easy to manipulate for various purposes.

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