find the difference
1. 4-3/5
2.5-4/7
3.6-2/3
4.5-7/8
5.7-2/5​

Answer:

p= 2r/m^2

Step-by-step explanation:

Answer:

x=33

Step-by-step explanation:

The angles would need to add to 180 to be supplementary

4x+ x+15 = 180

Combine like terms

5x+15 = 180

Subtract 15 from each side

5x+15-15 =180-15

5x = 165

Divide by 5

5x/5 =165/5

x=33

The yield to maturity on a simple loan for $1,500 that requires a repayment of $7,500 in five years' time is 37.14%.

Yield to maturity (YTM) is the total return anticipated on a bond or other fixed-interest security if the security is held until it matures. Yield to maturity is considered a long-term bond yield, but is expressed as an annual rate. In this problem, the present value (PV) of the simple loan is $1,500, the future value (FV) is $7,500, the time to maturity is five years, and the interest rate is the yield to maturity (YTM).

Now we will calculate the yield to maturity (YTM) using the formula for the future value of a lump sum:

FV = PV(1 + YTM)n,

where,

FV is the future value,

PV is the present value,

YTM is the yield to maturity, and

n is the number of periods.

Plugging in the given values, we get:

$7,500 = $1,500(1 + YTM)5

Simplifying this equation, we get:

5 = (1 + YTM)5/1,500

Multiplying both sides by 1,500 and taking the fifth root, we get:

1 + YTM = (5/1,500)1/5

Adding -1 to both sides, we get:

YTM = (5/1,500)1/5 - 1

Calculating this value, we get:

YTM = 0.3714 or 37.14%

Therefore, the yield to maturity on a simple loan for $1,500 that requires a repayment of $7,500 in five years' time is 37.14%.

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C is ur answer............

The GCD of 15 and 34, computed using the Euclidean Algorithm, is 1.

The Euclidean Algorithm is a method for finding the greatest common divisor (GCD) of two numbers. Let's use this algorithm to compute the GCD of 15 and 34.

Divide the larger number by the smaller number and find the remainder.
  34 divided by 15 equals 2 remainder 4.

Replace the larger number with the smaller number, and the smaller number with the remainder obtained in the previous step.
  Now we have 15 as the larger number and 4 as the smaller number.

Repeat steps 1 and 2 until the remainder is 0.
  15 divided by 4 equals 3 remainder 3.
  4 divided by 3 equals 1 remainder 1.
  3 divided by 1 equals 3 remainder 0.

The GCD is the last non-zero remainder obtained in step 3.
  In this case, the GCD of 15 and 34 is 1.

To summarize:
  GCD(15, 34) = 1

The Euclidean Algorithm is a simple and efficient method for finding the GCD of two numbers. It involves dividing the larger number by the smaller number and repeating this process with the remainder until the remainder is 0. The GCD is then the last non-zero remainder.

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Population - - > Sampling Frame - - > Sample - - > Individual being surveyed is the order from largest to smallest.

The population is the largest as they include all units or subject of interest in a particular study or experiment.

Next is the sampling frame which is the list or compilation of all subjects which can form part of a sample. It is a compilation of all elements in the population from which the sample can be drawn.

The sample is a subset of the population of population, usually selected at random and it is representative of the population.

The individual surveyed represents a single subject or observation from the chosen sample.

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Step-by-step explanation:

this answer will be 15 I think

Answer:

f(x) = 2(x+3)+2

Step-by-step explanation:

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

Vector fields, of the form f(x,y,z) = f(y,z)i + g(x,z)j + h(x,y)k, are incompressible.

In vector calculus, an incompressible vector field is one whose divergence is equal to zero.

Given a vector field

F = f(x,y,z)i + g(x,y,z)j + h(x,y,z)k,

the divergence is defined as the scalar function

div F = ∂f/∂x + ∂g/∂y + ∂h/∂z

where ∂f/∂x, ∂g/∂y, and ∂h/∂z are the partial derivatives of the components of the vector field with respect to their respective variables.

A vector field is incompressible if and only if its divergence is zero.

The question asks us to show that any vector field of form f(x,y,z) = f(y,z)i + g(x,z)j + h(x,y)k is incompressible.

Let's apply the definition of the divergence to this vector field:

div F = ∂f/∂x + ∂g/∂y + ∂h/∂z

We need to compute the partial derivatives of the components of the vector field with respect to their respective variables.

∂f/∂x = 0 (since f does not depend on x)

∂g/∂y = 0 (since g does not depend on y)

∂h/∂z = 0 (since h does not depend on z)

Therefore, div F = 0, which means that the given vector field is incompressible.

In conclusion, we have shown that any vector field of form f(x,y,z) = f(y,z)i + g(x,z)j + h(x,y)k is incompressible. We did this by computing the divergence of the vector field and seeing that it is equal to zero. This implies that the vector field is incompressible, as per the definition of incompressibility.

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Answer: about 18.5%

Step-by-step explanation:

Answer:

49 inches

Step-by-step explanation:

since we are talking about squares, and each side in a square has the same length, and all 4 angles are 90 degrees, "similar" did not mean much. every square is similar to every other possible square.

they all are bigger and smaller copies of themselves.

but how much bigger ?

in our case here P is the smaller square and Q the bigger one.

x = side length of P = 3.5"

y = side length of Q

x/y = 2/7

3.5/y = 2/7

7×3.5 = 2y

y = 3.5×3.5 = 12.25"

the perimeter of Q is

4×y = 4×12.25 = 49"

Answer:

\(x = 5 \\ x = 5 - 5 \\ x = 0 \\ end \: loop \\ x = 0\)

Answer:

3x^3 +13x^2 - 36x + 10.

Step-by-step explanation:

Area = length * width

= (3x - 5)(x^2 + 6x - 2)

= 3x(x^2 + 6x - 2) - 5)(x^2 + 6x - 2)

= 3x^3 + 18x^2 - 6x - 5x^2 - 30x + 10

=  3x^3 + 13x^2 - 36x + 10.

After considering the given data we conclude that the correct answer which is the correct option is b which is 3/28, regarding the conditional probability.

We are given that an urn contains 3 green balls and 5 red balls. Let Rᵢ be the event that the i-th ball without replacement is red. We need to find \(P(R_3| R_2 \cap R_1).\)
Using the conditional probability formula, we have:
\(P(R_3| R_2\cap R_1) = P(R_3 \cap R_2 \cap R_1) / P(R_2 \cap R_1)\)
Since we are drawing balls without replacement, the probability of drawing a red ball on the first draw is 5/8. The probability of drawing a red ball on the second draw given that the first ball was red is 4/7. Similarly, the probability of drawing a red ball on the third draw given that the first two balls were red is 3/6 = 1/2. Therefore, we have:
\(P(R_3 \cap R_2 \cap R_1) = (5/8) * (4/7) * (1/2) = 5/56\)
To find P(R₂ ∩ R₁), we can use the law of total probability:
\(P(R_2 \cap R_1) = P(R_2 \cap R_1 | R_1) * P(R_1) + P(R_2 \cap R_1 | R_1') * P(R_1')\)
where R₁' is the complement of R₁ (i.e., the event that the first ball drawn is not red). Since we are drawing balls without replacement, the probability of drawing a red ball on the second draw given that the first ball was not red is 5/7. Therefore, we have:
\(P(R_2 \cap R_1) = (5/8) * (5/7) + (3/8) * (3/7) = 29/56\)
Substituting these values into the conditional probability formula, we get:
\(P(R_3| R_2 \cap R_1) = (5/56) / (29/56) = 5/29\)
Therefore, the answer is (b) 3/28.
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The complete question is
An urn contains 3 green balls and 5 red balls. Let R, be the event the i-th ball without replacement is red. Find P(R3| R2 \cap R₁).
a) 1/56
b) 3/28
c) 1/2
d) 5/8

Answer:

D

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = \(\frac{1}{2}\) , then

sin30° = \(\frac{opposite}{hypotenuse}\) = \(\frac{12}{f}\) = \(\frac{1}{2}\) ( cross- multiply )

f = 24

----------------------------------------------------------------

Using the cosine ratio and the exact value

cos30° = \(\frac{\sqrt{3} }{2}\) , then

cos30° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{e}{f}\) = \(\frac{e}{24}\) = \(\frac{\sqrt{3} }{2}\) ( cross- multiply )

2e = 24\(\sqrt{3}\) ( divide both sides by 2 )

e = 12\(\sqrt{3}\)

Answer:

F=24 and e=12\(\sqrt{3}\)

Step-by-step explanation:

Answer:

21.21

Step-by-step explanation:

Area of a circle is A = π r^2

Variables:

r = 18/2 = 9

θ = 30 deg

Find the area:

A = π r^2

A = π 9^2

A = 254.47

Find the area of the sector:

θ/360 * A

= 30/360 * 254.47

= 21.21

The required slope, y-intercept, and cost for 6 rides is given as 1.5, 5, and $14 respectively.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Let x be the number of tickets you buy, and y be the total cost of the tickets and entry fee. Then, the cost of the entry fee is fixed at $5.00, and the cost of the tickets is $1.50 per ticket, so the total cost can be modeled by the equation:

y = 5 + 1.5x

The slope or rate of change of the equation is the cost per ticket, which is 1.5 dollars per ticket. The y-intercept is the cost of the entry fee, which is 5 dollars.

So, the equation of the situation can be written as:

y = 5 + 1.5x

If you want to go on 6 rides, you will need to buy 6 tickets, so the cost will be:

y = 5 + 1.5 × 6
y = 5 + 9
y  = $14

Therefore, it will cost you $14.00 to go on 6 rides.

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Answer:

Find the volume of this prism.

Theoretically, the probability of selecting one red marble from this bag is 0.20.

If a student does not return his or her marble to the bag before the next student selects his or her marble, the theoretical probability of selecting a blue marble may be different for the next student.

Probability determines how likely it is an event would happen. The chances of the event happening lie between 0 and 1.

The probability of selecting one red marble from this bag = number of red marbles / total number of marbles

16 / 80 = 0.20

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Answer:

least possible is -9 and greatest is 0

The concept that a message gives different meanings to different objects is called option (b) polymorphism.

Polymorphism is a fundamental concept in object-oriented programming (OOP) that allows different objects to respond to the same message or method invocation in different ways. In other words, it allows objects of different classes to be treated as if they were of the same class, as long as they implement the same method or message.

This can make code more flexible, reusable, and easier to maintain. Polymorphism is achieved through inheritance, interfaces, or overloading methods. For example, a "draw" method could be implemented differently for different shapes, such as circles, rectangles, or triangles.

Therefore, the correct option is (b) polymorphism

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Answer:

I beleave the answer is C.  

Step-by-step explanation:

that makes sence to me i beleave please mark me as brainlyest

The reason for the 8% maximum reinforcement ratio for a column is that it helps to prevent brittle failure due to compression buckling.

A concrete column is a vertical structural element that transfers compressive loads from beams and slabs to foundations. They are subjected to both axial and bending loads, and the longitudinal reinforcement, which runs parallel to the longitudinal axis of the column, is used to resist the bending and axial loads.The maximum percentage of longitudinal reinforcement is determined by a variety of factors, including buckling considerations, ductility requirements, and anchorage.

One reason for the maximum reinforcement ratio of 8% in a column is to prevent brittle failure due to compression buckling.This limit is set so that the steel reinforcement, which is used to resist the axial loads, does not buckle prematurely. If the percentage of longitudinal reinforcement is too high, it may not provide any significant benefit in terms of the axial load capacity of the column. Instead, it can increase the risk of local buckling failure in the reinforced concrete column.

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b. Linear programming model is the correct option.

A linear programming model is a mathematical technique used to find the best outcome in a given set of constraints. In this case, Manders Manufacturing Corporation is trying to determine the optimal product mix for its two products, metal (M) and scrap metal (S), based on certain constraints. The objective is to maximize the profit, represented by the function Z = $30M + $70S.

The constraints are represented by the inequalities:

3M + 2S ≤ 15

2M + 4S ≤ 18

These constraints define the limitations on the production of metal and scrap metal. The model aims to find values of M and S that satisfy these constraints while maximizing the objective function.

Using linear programming techniques, the corporation can solve this model to find the optimal values for M and S that will maximize their profit. This approach allows them to make data-driven decisions and allocate their resources efficiently. By formulating the problem as a linear programming model, Manders Manufacturing Corporation can make informed choices about the optimal product mix to achieve their business objectives.

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Answer:

1. 36r+30

2. -4f-5

3. 40g-28

4. 14n+8

5. -8-8m

Step-by-step explanation:

Solve: (8r + 9) + 7(4r + 3) ( 1 )

8r+9+28r+21

=36r+30

Solve: (3f - 9) + (-7f + 4) ( 1 )

3f-9-7f+4

= -4f-5

Solve: -8(-g + 6) + 4(8g + 5) ( 1 )

8g-48+32g+20

=40g-28

Solve: 5(2n + 3) + (4n - 7) ( 1 )

10n+15+4n-7

=14n+8

Solve: 2(-4) + (-8m) ( 1 )

= -8-8m

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?

The area of the given cloth is 1/6 yards².

So, the area of the cloth:

So, we know that it is a rectangular cloth.

Calculate the area as follows:

Therefore, the area of the given cloth is 1/6 yards².

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Predicate logic sentence: "For all nodes x and y, if there exists a directed edge from x to y, then there does not exist a directed edge from y to x."

The given sentence is a predicate logic sentence that axiomatizes the class of directed graphs that have no bidirectional edges or cycles. Let's break down the sentence to understand its meaning.

The statement starts with "For all nodes x and y," indicating that the following condition applies to any pair of nodes in the graph.

The next part of the sentence, "if there exists a directed edge from x to y," checks whether there is a directed edge from node x to node y. This condition ensures that we are considering directed graphs.

Finally, the sentence concludes with "then there does not exist a directed edge from y to x." This condition ensures that there is no directed edge from node y back to node x, preventing the existence of bidirectional edges or cycles in the graph.

In essence, this predicate logic sentence captures the property of directed graphs that have no bidirectional edges, ensuring that the edges only flow in one direction and there are no cycles in the graph.

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