Malin and Shawn begin with the same number, $t$. Malin subtracts $6$ from $t$ and then divides the result by $6$. Shawn adds $7$ to $t$ and then divides the result by $7$. If Malin's final answer is the same as Shawn's final answer, what was the number $t$

Step-by-step explanation:

The given number is 7,594,000,000.

To convert it into scientific notation,

First move the decimal point places to the left to find a number that is greater than or equal to 1 and less than 10. Then multiply by 10 , using an exponent on 10 that equals the number of places you moved the decimal. The exponent is negative if the original no was <1 and the exponent is positive, if the original number was  > 1.

In 7,594,000,000, we move the decimal point places to the left before 5. It means we have moved 9 digits left.

Hence, \(7,594,000,000=7.59\times 10^9\) is the scientific notation.

Answer:

b i think

Step-by-step explanation:

Answer:

y = -4 x -9

Step-by-step explanation:

If it wrong i'm sorry

Given information: Mass of dolphin, m = 1800 N; Height of jump, h = 2.10 m.

The gravitational potential energy of the dolphin can be calculated as follows: Gravitational potential energy = mgh where, m is the mass of the dolphin, g is the acceleration due to gravity, and h is the height of the jump.

Given that the dolphin jumps from the water, its initial potential energy is zero. Hence, the total energy of the dolphin is equal to the potential energy at the highest point. At this point, the kinetic energy of the dolphin is also zero. Therefore, the energy conservation equation can be written as follows: mg h = (1/2)mv²where, v is the velocity of the dolphin just before it jumps out of the water.  

Solving for v, we get v = sqrt(2gh)where sqrt denotes the square root, g is the acceleration due to gravity, and h is the height of the jump. Substituting the given values, we get v = sqrt(2 x 9.8 x 2.10)v = 6.22 m/s Therefore, the dolphin must be moving at a speed of 6.22 m/s as it leaves the water in order to jump to a height of 2.10 m.

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The required specific energy increases with increasing depth and the water surface profile will be rapidly varied.

To determine the type of water surface profile for different depths in the rectangular channel, we can use the concept of specific energy and Manning's equation.

The specific energy (E) is given by the equation:
E = y + (V² / (2g)) + (Sf * x)

Given values:
Width of the rectangular channel (b) = 2.45 m
Discharge (Q) = 2.83 m³/sec
Bed slope (Sf) = 0.003
Manning's roughness factor (n) = 0.015

For each depth, we can calculate the velocity (V) using Manning's equation and then determine the specific energy (E) using the equation mentioned above.

Depth 1 (y₁ = 1.52 m):

First, let's calculate the velocity (V₁) using Manning's equation:\(V_1 = (1/n) * (R_1^{2/3}) * (S_f^{(1/2)})\)

The hydraulic radius (R₁) can be calculated as:
R₁ = (b * y₁) / (b + 2y₁) = (2.45 * 1.52) / (2.45 + 2 * 1.52) ≈ 0.678 m

Substituting the values
\(V_1= (1/0.015) * (0.678 ^{2/3}) * (0.003^{1/2})\) ≈ 2.81 m/s

Now, let's calculate the specific energy (E₁) using the equation:
E₁ = y₁ + (V₁² / (2g)) + (Sf * x)

Substituting the values:
E₁ = 1.52 + (2.976² / (2 * 9.81)) + (0.003 * x)

The above expression shows, the specific energy increases with increasing depth, and the water surface profile will be rapidly varied.

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Given question is incomplete, the complete question is:
2.45-m wide rectangular channel with a discharge of 2.83 m³/sec. has a bed slope of 0.003 and Manning's roughness factor of 0.015. What is the type of water surface profile for depths of 1.52 m, whether it is rapidly varied or not?

Answer:

A car parked on a hill, A raised weight, A snow pack.

Step-by-step explanation:

To summarize, potential energy is the energy that is stored in an object due to its position relative to some zero position. An object possesses gravitational potential energy if it is positioned at a height above (or below) the zero height.

Three examples of objects that have potential energy are,  a child at the top of the seesaw in play-ground, water in dam, rock kept at some finite height of hill.

What is Potential Energy ?

The energy possessed by a body due to its position or configuration is known as potential energy. when an object is at rest, velocity is equal to zero, thus velocity of the object doesn't contribute to potential energy, it only depends upon gravitational constant "g", height h of the object above the Earth's surface and mass m of the object.

The basic formula to determine the Potential Energy possessed by the body is given by :

P.E = mgh

examples of objects that are having potential energy are :

1) a child at the top of the seesaw in play-ground.

2) water in dam.

3) rock kept at some finite height of hill.

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To find the equivalent we can use linear equation in one variable .the value of p is 2.

An algebraic equation of the form axe + b = c, where x denotes the variable, a, b, and c are constants, and an is not equal to zero, is known as a linear equation in one variable.

Equivalent means having the same value, function, meaning, or effect. In other words, two things are equivalent if they are equal or interchangeable in some way.

I assume that the second expression is supposed to be (n+p)•1/2, since the expression as written is incomplete.

To find the value of p that makes the two expressions equivalent, we can set them equal to each other and solve for p:

1/2(n+2) = (n+p)•1/2

Multiplying both sides by 2:

n+2 = n+p

Subtracting n from both sides:

2 = p

Therefore, the value of p that makes the two expressions equivalent is 2.

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Points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints.

True

There are 5 full square and 6 triangles that are half squares.

      5 + (6)(1/2) = 5 + 3 = 8

You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area.  But counting works well in this example.

Answer: 8

Step-by-step explanation:

First you split up this shape into two different shapes, a triangle and trapezoid

Put a line through the coordinates (-2,2) to  (-1,2); the top is a triangle and the other is a trapezoid

Area of the trapezoid is A = .5x (base1 + base2) x height

base1 of the trapezoid goes from -4 to -1 which is 3

base2 goes from -2 to -1 which is 1

height is 0 to 2 whcich is 2

A = .5 x (3+1) x 2 = 4

Now area of a triangle is A = .5 x base x height

the base goes from -2 to 2 which is 4

the height goes from 2 to 4 which is 2

A = .5 x (4) x (2) = 4

Area of the Trapezoid + Area of the Triangle = Total Area

4 + 4 = 8

Answer:

I hope this helps

Explanation:

Answer:

The missing side length is 5 cm

Step-by-step explanation:

We see that 4cm is on the top and 9 cm is on the bottom.

All we need to do is subtract 4 from 9

9-4=5

The missing side length is 5 cm

Answer:

the missing length is 7cm and the whole perimeter is 52cm

Step-by-step explanation:

to get the missing length take 4 and 11 and subtract it

4-11=7

then add it all together and you get 52cm

Answer:

51.1 liters

Step-by-step explanation:

Tank holds 18 gallons.

The tank is 1/4 full, so to fill it up, you need 3/4 of 18 gal.

3/4 of 18 gal = 13.5 gal

1 gal = 3.785 liters

13.5 gal × 3.785 liters/gal = 51.1 liters

Answer: 51.1 liters

The descendent relation on the nodes of T is a partial order for a tree data structure T. Option A is the correct answer.

In graph theory, a tree is a connected acyclic graph, which means that it is a graph without any cycles.

The descendent relation on the nodes of a tree T is a partial order, which means that it is a binary relation that is reflexive, antisymmetric, and transitive. In other words, for any nodes u, v, and w in T, the descendent relation satisfies the following properties:

Therefore, the descendent relation on the nodes of a tree is a partial order, which is an important concept in many areas of mathematics and computer science.

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Answer:

D

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

5*2=10-50=40+4=44

Answer:

Step-by-step explanation:

poop

Step-by-step explanation:

c + 1/2 × a²b = d | - c on both sides

1/2 × a²b = d - c | ×2 on both sides

a²b = 2(d - c) | /b on both sides

a² = (2/b) × (d - c) | sqrt on both sides

a = sqrt(2(d - c)/b)

yes, the given answer is correct.

Answer:

3xy+9x+3

Step-by-step explanation:

Answer:

4. y-intercept = -9, answer option a

3. roots are x = 4 and -6, answer option a

Step-by-step explanation:

4. definition of y-intercept: where the function intersects the y-axis

this occurs where the x-coordinate = 0

that means the y-intercept = -9, given in the table

3. roots are zeroes of the function, where it intersects the x-axis

to find, set the function = 0

0 = -3(x-4)(x+6)

the values of x that make this equal to zero can be found by setting

x-4 = 0

and

x+6 = 0

so x = 4 and -6

Answer:

2/7

Step-by-step explanation:

4 red marbles and 3 blue marbles in a bag = 7 marbles

P(red) = red/total = 4/7

No replacement

3 red marbles and 3 blue marbles in a bag = 6 marbles

P(red) = red/total = 3/6 = 1/2

P(red, no replacement, red) = 4/7 * 1/2 = 2/7

Answer:

60%

Step-by-step explanation:

The problem would be 6:4 ratio. 6+4=10, and there are 6 oaks, so there's 6/10. And that converted to a percentage is 60%.

The end of each of the next 7 years, Sunland Enterprises invested approximately $48,370.88.

The calculation involves determining the present value of a series of cash flows using the formula for the present value of an annuity.

The present value factor from the provided factor table for an 11% interest rate and 7 periods is 4.81707.

By dividing the future value ($83,500) by the present value factor (4.81707), we can find the amount invested.

Thus, $83,500 / 4.81707 ≈ $48,370.88. Therefore, Sunland Enterprises invested around $48,370.88 to achieve the desired rate of return.

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in the Golden Balls game, there is only one pure strategy Nash equilibrium, which is (Split, Split).

In the Golden Balls game, there are two players, Player 1 and Player 2. Each player can choose to either "Split" or "Steal." The payoffs for each possible combination of actions are as follows:

If both players choose Split, they both receive a payoff of 50.

If Player 1 chooses Steal and Player 2 chooses Split, Player 1 receives 100, and Player 2 receives 0.

If Player 1 chooses Split and Player 2 chooses Steal, Player 1 receives 0, and Player 2 receives 100.

If both players choose Steal, they both receive a payoff of 0.

To find all the pure strategy Nash equilibria, we need to identify any strategies where neither player has an incentive to deviate unilaterally.

Pure Strategy Nash Equilibria:

(Split, Split): This is a pure strategy Nash equilibrium because if both players choose Split, neither player can improve their payoff by unilaterally changing their strategy to Steal.

Now let's consider mixed strategy Nash equilibria, where players randomize between their available strategies.

Mixed Strategy Nash Equilibrium:

To find the mixed strategy Nash equilibrium, we need to examine whether there exists a probability distribution over strategies that maximizes the expected payoff for each player, given the other player's strategy.

In this case, there is no mixed strategy Nash equilibrium since Player 2's expected payoff from choosing Split is always lower than the expected payoff from choosing Steal, regardless of the probabilities assigned to each strategy by Player 1. Similarly, Player 1's expected payoff from choosing Split is always lower than the expected payoff from choosing Steal, regardless of the probabilities assigned to each strategy by Player 2.

Therefore, in the Golden Balls game, there is only one pure strategy Nash equilibrium, which is (Split, Split).

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If you weigh 240 pounds and the solution concentration is 10%, you would receive 13,600 milligrams.

To calculate the number of milligrams you would receive based on your weight and the concentration of the solution, we can set up a linear function.

Let's define the variables:

We have the given information that a patient weighing 300 pounds requires 1700 milligrams of the medication. This can be written as the equation:

P / D = 300 / 1700

Now, we need to determine the dose you would receive based on your weight. Let's assume you weigh 240 pounds. We can set up a proportion using the given information and the variables:

P / D = W / X

where X represents the dose you would receive.

Since the concentration of the solution is 10% (or 0.1 as a decimal), we can modify the equation as follows:

P / D = W / (0.1 * X)

To solve for X, we can cross-multiply and simplify the equation:

P * 0.1 * X = D * W

X = (D * W) / (P * 0.1)

Now we can substitute the known values into the equation:

X = (1700 * 240) / (300 * 0.1)

X = 408000 / 30

X = 13600

Therefore, if you weigh 240 pounds and the solution concentration is 10%, you would receive 13,600 milligrams of the medication.

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There are 7200 ways for the senate committee to sit around a circular table.

To solve this problem, we can use the formula for circular permutations: (n-1)!/d, where n is the total number of people and d is the number of ways in which they can be distinguished. In this case, n is 11 (5 democrats + 5 republicans + 1 independent) and d is 1 (since all the members of each party sit together, they are not distinguishable from one another). Plugging these values into the formula, we get

This means that there are 7200 ways for the senate committee to sit around a circular table.

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The socially efficient rate of output can be determined by finding the point where the marginal willingness to pay (MWTP) is equal to the marginal cost (MC). In this case, the efficient rate of output occurs at 7 units, where MWTP is equal to 8.

To show that at any other output level, the net benefits to society will be lower than they are at the efficient level, we can compare the net benefits at different output levels.

At the efficient level of 7 units, the net benefit to society is the difference between the MWTP (8) and the MC (8), which is zero.

For any other output level, the net benefits to society will be lower. Let's take the example of 6 units. The MWTP at this level is 10, while the MC is 11. Therefore, the net benefit is -1, indicating that society is worse off compared to the efficient level.

Similarly, for output levels below 6 units, the net benefits will be negative, indicating a loss to society. And for output levels above 7 units, the net benefits will be positive, but decreasing, indicating diminishing returns.

In conclusion, the socially efficient rate of output is 7 units, where net benefits are maximized. Deviating from this level results in lower net benefits to society, indicating a loss of efficiency.

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Answer:

250 meters/min = 15 km/hr

Step-by-step explanation:

The approximate number to divide from is 16.667. Divide the speed value by 16.667

Answer:

\(f(x) = 2 {x}^{2} + x \\ at \: that \: point \: given \: \: x = - 1 \\ f(x) = 2 {( - 1)}^{2} + ( - 1) \\ f(x) = 2 - 1 \\ f(x) = 1\)

This statement is False as the probability of intersection of two events is always less than the probability of union.

This assertion is untrue. Contrary to popular belief, the likelihood of two occurrences coming together is always higher than or on pair with the likelihood of them colliding.

The chance of two events A and B occurring together can be calculated using the following formula to see why:

According to this equation, the probability of A and B joining together is equal to the total of their individual probabilities less the likelihood of their colliding.

When we rewrite this calculation and focus only on the likelihood of the intersection, we obtain:

Now it is clear that the probability of the intersection is determined by subtracting the probability of their union from the sum of the probabilities of A and B.

P(A) and P(B) are both less than or equal to P(A B), since probabilities can never be negative. P(A + B) is therefore less than or equal to twice P(A + B) when they are added together. Thus, it follows:

This indicates that, contrary to what the original statement implied, the probability of the intersection is not greater than or equal to the probability of the union.

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