Can someone like help with this pleasee

The combined speed of the lion and the buffalo after the collision is 16.0 m/s.

According to the given information in the question, the lion is running behind the water buffalo at 20.0 m/s and the buffalo is running away from the lion at 25 m/s.

After the collision, the lion jumps on the buffalo, and the combined speed of the lion and the buffalo needs to be calculated. In order to calculate the combined speed of the lion and the buffalo after the collision, we can use the conservation of momentum equation.

Mathematically, the equation can be written as:

initial momentum = final momentum

Let \(m_1\) = mass of lion

Let \(m_2\) = mass of buffalo

Let \(v_1\) i = initial velocity of lion = 20.0 m/s (negative since it is running behind the buffalo)

Let \(v_2\) i = initial velocity of buffalo = 25.0 m/s (positive since it is running away from the lion)

Let \(v_f\) = final velocity of the combined system of lion and buffalo

After the collision, the lion is riding on the buffalo.

Therefore, the mass of the combined system will be \(m_1+m_2\).

Hence, the equation can be written as:

\((m_1 \times v_1i) + (m_2 \times v_2i) = (m_1 + m_2) \times v_f\)

Now, substituting the values, we get:

\((m_1 \times v_1i) + (m_2 \times v_2i) = (m_1 + m_2) \times v_f\)

=> [(200 kg) x (-20.0 m/s)] + [(800 kg) x (25.0 m/s)]  

= (200 kg + 800 kg) x vf

=> (-4000 kg.m/s) + (20,000 kg.m/s) = (1000 kg) x vf

=> 16,000 kg.m/s = (1000 kg) x vf

=> vf = 16.0 m/s

Therefore, the combined speed of the lion and the buffalo after the collision is 16.0 m/s.

Answer: 16 m/s

To know more about momentum , visit

https://brainly.com/question/30677308

#SPJ11

Answer: Creo que la respuesta es x+3

Espero haber ayudado :D

The mathematicians credited with developing the mathematical models that predict population growth in each of two competing species are Rosenzweig and MacArthur(OPTION A).

These two scientists developed a theory known as the "competitive exclusion principle," which states that two species competing for the same resources cannot coexist indefinitely. Instead, one species will eventually outcompete and displace the other species.
Rosenzweig and MacArthur's model is based on the Lotka-Volterra equations, which are a set of differential equations that describe the dynamics of predator-prey relationships. They extended this model to include two competing species and developed the concept of the "ecological niche" – the specific set of environmental conditions under which a species can survive and reproduce.
Their model predicts that the two species will reach a stable equilibrium, where their populations remain relatively constant over time. However, the exact outcome of the competition depends on several factors, including the initial population sizes of the two species, the relative strengths of their ecological niches, and the availability of resources.
Overall, Rosenzweig and MacArthur's mathematical model has been influential in the field of ecology, providing a framework for understanding how competing species interact and how ecosystems evolve over time.

for more questions on species

https://brainly.com/question/27586713

#SPJ11

Answer:

this is an example of your question

I hope it helps

Answer:

107.7ft

Step-by-step explanation:

\(\dfrac{80}{sin \: 48^{o} } =\dfrac{80}{0,7431448255} \approx 107.7\)

Answer:

363

Step-by-step explanation:

Formula for area of a circle

A = πr^2

Where r = radius

The circle has a given radius of 11

To find the area of the circle we simply substitute r in the formula with the value of the radius (11)

( Also note that the question says to use 3 for π )

A = πr^2

π = 3

r = 11

Substitute values in formula

A = (3)(11)^2

11^2 = 121

A = 121(3)

121(3) = 363

A = 363

The missing values are derived from the graph as follows:

3 ) 7, 14, 21, 28, 35

4) 3, 7, 10, 14, 17

5) 1, 21, 10, 49, 19

In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.

In order to solve for the above values, the best way is to spot the function that exists in the graph which is given as:

F(y) = 3.5x

In the first table, where x = 2

y= 3.5 *2

= 7

This iteration goes on and on and is consistent for all the values.

In the second table,

Where F(y) is known, for example 10.5, then x is derived as:

10.5 = 3.5x (divide both sides by 3.5)

x = 3

This iteration goes on and on and is consistent for all the values.

In the third table, we simply swap the values back and forth using the function F(y) = 3.5x to derive all values.

Learn more about graphs:

https://brainly.com/question/16608196
#SPJ1

Manny purchased a variety pack of 245 rainbow-colored balloons, 35 of which were purchased for each of the 7 hues.

According to the question;

For his personalised balloon animal company, Manny purchased a variety pack of balloons in rainbow hues. There was an equal number of balloons in each of the 7 colours, for a total of 245 balloons in the pack.

We may divide the total number of balloons by the total number of colours to get the number of balloons in each colour. In other words, 35 balloons for each colour / 245 balloons is the result.

Thus, there are 35 balloons of each hue in the variety pack. Manny can now make an educated guess as to how many balloon creatures he can create with each hue and arrange his balloon materials correctly thanks to this information.

To know more about arithmetic and division here:

https://brainly.com/question/22786493

#SPJ4

your answer would be A. 122/27

Answer:

\(5 \sqrt{3} \)

Step-by-step explanation:

Frist find which perfect square goes into 75. In this case its 25 * 3. You then find out what is the square root of 25. Which is 5. you put that number outside the radical and the other number inside the radical. resulting in 5 square roots of 3.

Answer: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact Form:

5√3

Decimal Form:

8.66025403…

Answer:

Step-by-step explanation:

,,,

To apply the power rule for differentiation to the function f(x, y) = 5x^4y^3 + 3x^2y + 4x + 5y, we differentiate each term with respect to x while treating y as a constant.

The power rule states that if we have a term of the form x^n, where n is a constant, then the derivative with respect to x is given by nx^(n-1).

Let's differentiate each term one by one:

For the term 5x^4y^3, the power rule gives us:

d/dx (5x^4y^3) = 20x^3y^3.

For the term 3x^2y, the power rule gives us:

d/dx (3x^2y) = 6xy.

For the term 4x, the power rule gives us:

d/dx (4x) = 4.

For the term 5y, y is a constant with respect to x, so its derivative is zero.

Putting it all together, we have:

fx(x, y) = 20x^3y^3 + 6xy + 4.

Therefore, the derivative of the function f(x, y) with respect to x is fx(x, y) = 20x^3y^3 + 6xy + 4.

Learn more about differentiation here:

https://brainly.com/question/31539041

#SPJ11

In linear equation, Joshua should buy is 255 + 6s ≥ 333.

What is linear equation in math?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Let the sets of spoons be represented by s

The restaurant needs at least 333 spoons.

Each set on sale contains 8 spoons

There are currently 333 spoons.

At least as an inequality is ≥

Hence:

255 + 6 × s ≥ 333

255 + 6s ≥ 333

Therefore, inequality tha can be used to determine s the minimum number of sets of spoons Joshua should buy is

255 + 6s ≥ 333

Learn more about linear equation

brainly.com/question/11897796

#SPJ1

Answer:

b = 125

Step-by-step explanation:

Given a varies directly as \(\sqrt[3]{b}\) then the equation relating them is

a = k\(\sqrt[3]{b}\) ← k is the constant of variation

To find k use the condition a = 3 , b = 64 , then

3 = k\(\sqrt[3]{64}\) = 4k ( divide both sides by 4 )

\(\frac{3}{4}\) = k

a = \(\frac{3}{4}\) \(\sqrt[3]{b}\) ← equation of variation

When a = \(\frac{15}{4}\) , then

\(\frac{15}{4}\) = \(\frac{3}{4}\) \(\sqrt[3]{b}\) ( multiply both sides by 4 to clear the fractions )

15 = 3\(\sqrt[3]{b}\) ( divide both sides by 3 )

5 = \(\sqrt[3]{b}\) , then

b = 5³ = 125

Answer: answer set C

The square root of 195 is irrational. Even if there is a divisor of 2 after we square the number, the number still remains irrational.

The rest of the choices have rational numbers. There is an 8.22 repeating, but the repeating decimal indicates that the number is still rational. Negative numbers are rational integers.

Let's determine the height of the building using ratios and proportions.

Where,

h = height of the building

We get,

Therefore, the height of the building is approximately 105 m.

Answer:

we conclude that:

Step-by-step explanation:

A dilation is a transformation which generates an image that is the same shape as the original object but in a different size.

The image can be obtained by multiplying the measure of the original object by a scale factor.

If the scale factor > 1, the image is stretched

If the scale factor < 1, the image is reduced

If the scale factor = 1, the image and object will be congruent

For example, if we multiply the measure of the coordinates of the vertex A(2, 2) of a triangle by a scale factor of 2, the image A' is stretched as the scale factor > 1.

Dilation with scale factor 2, multiply by 2.

A(2, 2) → (2(2), 2(2)) = A'(4, 4)

So, the image point A'(4, 4) is enlarged.

Dilation with scale factor ½, multiply by ½.

A(2, 2) → (2(1/2), 2(1/2)) = A'(1, 1)

So, the image point A'(1, 1) is reduced.

Therefore, we conclude that:

Answer:

= 3*(4x^3+1)^2

= degree 6

Step-by-step explanation:

Using the calculus rule, we can rewrite the total derivative (dx/dz) at constant y as the sum of two partial derivatives.

The total derivative (dx/dz) at constant y can be rewritten as the sum of two partial derivatives:
(dx/dz) = (∂x/∂y)*(∂y/∂z) + (∂x/∂z) at constant y

Apply the chain rule
The chain rule in calculus allows us to find the derivative of a function with respect to another variable, by considering how the intermediate variables change.

In this case, we want to find (dx/dz) at constant y.

The chain rule states:
(dx/dz) = (dx/dy)*(dy/dz) + (dx/dz) at constant y
Identify the partial derivatives:
Since we want to rewrite (dx/dz) as a sum of two partial derivatives, we will keep the terms (dx/dy) and (dy/dz) as partial derivatives:
(dx/dz) = (∂x/∂y)*(∂y/∂z) + (∂x/∂z) at constant y
Final answer
The total derivative (dx/dz) at constant y can be rewritten as the sum of two partial derivatives:
(dx/dz) = (∂x/∂y)*(∂y/∂z) + (∂x/∂z) at constant y.

For similar question on derivative.

https://brainly.com/question/30572604

#SPJ11

The statement is true. Cumulative preferred stockholders have the right to receive any missed dividends at a later date before dividends can resume to common stockholders.

Cumulative preferred stock is a type of stock that has a provision ensuring that if a company fails to pay dividends on the preferred stock in a particular period, the unpaid dividends accumulate and must be paid to the preferred shareholders before any dividends can be paid to common shareholders. This provision is known as cumulative dividend rights.

The purpose of cumulative preferred stock is to provide additional protection to the preferred shareholders.

It guarantees that if the company experiences financial difficulties and is unable to pay dividends in a given period, the unpaid dividends will not be lost permanently but will accrue as an obligation to be paid in the future.

This helps to maintain the integrity of the preferred stock as an income-generating investment.

Once the cumulative preferred stockholders receive the accumulated unpaid dividends, the company can then resume paying dividends to common stockholders. This ensures that preferred stockholders are prioritized in receiving their entitled dividends before common stockholders receive any distributions.

Learn more about distributions here:

https://brainly.com/question/29664127

#SPJ11

Answer:

128.61 cm

Step-by-step explanation:

Given, radius of the sphere, r=3.2cm.

Therefore, the surface area of sphere =4πr2

                                                               =4π(3.2)2 cm2

                                                               =4×3.14×3.2×3.2 cm2

                                                               =128.61 cm2.

Hope this helped out...

Answer:

Step-by-step explanation:

v=(2/3)πr3

v=(2/3)*22/7*3.2^3

v=68.6cm^3

x represents the cost of each bottle of juice. Given that he bought a pack containing 6 bottles of juice, the cost of the 6 pack juice bottles would be $6x

Given that the total cost of a bag of popcorn which costs $2.11 and a 6-pack of juice bottles is $11.41, it means that

2.11 + 6x = 11.41

6x = 11.41 - 2.11

6x = 9.3

x = 9.3/6

x = 1.55

The cost of each bottle of juice is $1.55

Answer:

Step-by-step explanation:

do 21 ÷ 4 = 5.25

Now we have 5.25 miles for each inch. So all we have to do is multiply 5.25 by 13 to find the answer:

5.25 × 13 = 68.25

Let me know if this helped!

Answer:

The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.

the area of triangle $AMN$ is 8 square cm.

To find the area of triangle $AMN$, we need to determine the lengths of its base and height.

In square $ABCD$ with side length 4 cm, $N$ is the midpoint of side $BC$, so $BN = NC = \frac{1}{2} \cdot 4 = 2$ cm.

Similarly, $M$ is the midpoint of side $CD$, so $CM = MD = \frac{1}{2} \cdot 4 = 2$ cm.

Now, we can see that $AM$ is the height of triangle $AMN$ and has a length of 4 cm, as it is parallel to side $AD$ of the square.

$AN$ is the base of triangle $AMN$ and has a length of $BN + CM = 2 + 2 = 4$ cm.

Therefore, the area of triangle $AMN$ is given by:

$A_{AMN} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 4 \times 4 = 8$ square cm.

To learn  more about triangle visit:

brainly.com/question/2773823

#SPJ11