chris and molly wins $2400 in a competition they share the money in the ratio2:3 how much money do they each receive ?​

The equation for the Propagate function (P) in a Carry Look-ahead Full Adder is given by: P = A XOR B, where A and B are the input bits. This equation represents the XOR gate operation between the input bits, indicating whether a carry will be generated at that stage.

In a Carry Look-ahead Full Adder, the Propagate (P) and Generate (G) functions are used to calculate the carry-out (Cout) and sum (S) outputs for each stage of the adder. The P function determines whether there will be a carry generated from the current stage based on the input bits, while the G function determines whether a carry will be propagated from the previous stage.

The equation for the Generate function (G) in a Carry Look-ahead Full Adder is given by: G = A AND B, where A and B are the input bits. This equation represents the AND gate operation between the input bits, indicating whether a carry will be propagated from the previous stage. Now, moving on to the decoder, a 2-to-4 decoder is a combinational logic circuit that takes a 2-bit input and generates four output signals. The truth table for a 2-to-4 decoder can be constructed as follows:

A₁ A₀ D₃ D₂ D₁ D₀

0 0 0 0 0 1

0 1 0 0 1 0

1 0 0 1 0 0

1 1 1 0 0 0

The outputs D₃, D₂, D₁, and D₀ represent the decoded signals based on the input values A₁ and A₀. The equations for the decoder outputs are as follows:

D₃ = A₁' · A₀'

D₂ = A₁' · A₀

D₁ = A₁ · A₀'

D₀ = A₁ · A₀

To design the decoder circuit at the transistor level using the fully complementary static CMOS method with the minimum number of transistors, the logic gates in the equations can be implemented using PMOS and NMOS transistors in a complementary arrangement. The specific transistor-level circuit for output Dn depends on the implementation details and the available transistors, and it would require a schematic diagram to illustrate the connections and transistor arrangement.

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In your daily routine, If you weight 200 pounds and need to drink 1L of water every day, it would take you 1 hour and 30 minutes to get through this amount (roughly 30 minutes less than if you weighed 180 pounds).

Water is the most important nutrient you can consume. This is because it helps your body with its normal functioning and helps to flush out toxins from your system. Water helps maintain the proper pH balance of your body by lowering high levels of acid in the blood. Water is the best source of hydration. It hydrates the body, maintains healthy cardiovascular system and helps fight off dehydration. Depending on your weight classification you need to drink around 1 gallon of water every day.

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The function f(x) = cot(x) is an odd function, algebraically

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

f(x) = cot(x)

A function is said to be even if

f(x) = f(-x)

Using the above as a guide, we have the following:

f(-x) = cot(-x)

-f(x) = -cot(x)

A function is said to be odd if

-f(x) = f(-x)

So, we have

-f(x) = -cot(x)

-f(x) = cot(x)

By comparing the functions:

f(x) = -f(x) = cot(x)

Hence, the function is odd

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Answer:

At Grocery Mart 1 pound of strawberries cost $1.50 and At Baldwin Hills Market 1 pound of strawberries cost $1.30.Hope this helped!

Step-by-step explanation:

Thus, the number line which shows the graph of Negative 2.75 less-than x is given by option second.

A number line is a visual depiction of numbers on either a straight line in mathematics. A number line's numerals are arranged in a sequential manner at equal intervals along its length. It is often displayed horizontally and can extend indefinitely in any direction.

All sets of numbers, including natural and whole numbers, are included in the numbers on a number line. The natural number ranges from 1 to 6 while a group of whole numbers is represented by (0, 1, 2, 3,4,5,6).

There are three main components to a number line. The origin is typically plotted with zero in the centre. The mnemonic "The origin like most things is nothing" can help you recall that the origin is zero.

The expression for Negative 2.75 less-than x is:

-2.75 < x

So, x > -2.75 in which, -2.75 is not included.

Thus, the number line which shows the graph of Negative 2.75 less-than x is given by option second.

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If the constraint Q1 + Q2 ≥ 30 is relaxed by one unit, the total cost will increase by λ = 4.

The given objective function is TC=4Q1²+5Q2²−Q1Q2, which we need to minimize subject to the constraint Q1+Q2≥30 using the Lagrangian method. Let's begin the Lagrangian method solution as follows;

L(Q1,Q2,λ)= TC + λ(30 - Q1 - Q2)

Where λ is the Lagrange multiplier

1: Calculate the partial derivatives of L with respect to Q1, Q2, and λ and set them equal to zero

∂L/∂Q1 = 8Q1 - Q2 - λ = 0 .......(1)

∂L/∂Q2 = 10Q2 - Q1 - λ = 0 .......(2)

∂L/∂λ = 30 - Q1 - Q2 = 0 .......(3)

2: Solve the above three equations for Q1, Q2, and λ using the elimination method. Eliminate λ by adding equations (1) and (2). Then substitute this λ value in the third equation. Simplify the equation and solve for Q1 and Q2.

Q1 = 6 and Q2 = 24

λ = 4

The optimal values of Q1 and Q2 are 6 and 24 respectively. The value of lambda is 4.

The value of λ represents the marginal cost of relaxing the constraint by one unit. Intuitively, lambda represents the shadow price of the constraint, i.e., the amount by which the objective function value will increase if the constraint is relaxed by one unit.

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Work Shown:

Use the given area A = 28.3 to find the radius r

A = pi*r^2

28.3 = 3.14*r^2

3.14*r^2 = 28.3

r^2 = 28.3/3.14

r^2 = 9.01273885350319 approximately

r = sqrt(9.01273885350319)

r = 3.00212239149292

---------

Which is then used to find the circumference

C = 2*pi*r

C = 2*3.14*3.00212239149292

C = 18.8533286185756

C = 18.9

Answer:

Expanded form - write 5 ( p+6 ) - 5 ( p - 2)  

as an equation  y = 5 (p+6) -5(p-6)

simplifyed form - 40

Step-by-step explanation

Using Euler'formula, the difference between maximum and minimum possible numbers of faces is 96.

A polyhedron is a 3D shape with flat faces, straight edges, and sharp vertices (corners). "polyhedron" meaning "many" and "polyhedron" meaning "area". Therefore, when many planes are joined, they form a polyhedron.

Because all faces are triangles. So on a triangular base with triangular faces on both sides that meet at the vertex.

Therefore, the minimum number of triangular faces of a regular polyhedron is = 4

Next, the double pyramid has "2n" triangular faces. where n is a natural number greater than 2 and 'n' represents the number of sides of the base of the pyramid.

A polyhedron having equal quadrilateral faces is known as regular hexahedron.

quadrilateral faced polyhedron with total sides 100 and vertices 6 , then using Euler's formula

F + V-E = 2

=> F + 6- 100= 2 => F = 96 maximum faces possible = 96

Now the difference between maximum and minimum number of faces = 100 - 4 = 96

So the difference between maximum and minimum faces is 96.

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Answer:

Number of students= 820.64 = 821

Step-by-step explanation:

Giving the following information:

Current attendance= 950 students

Number of periods= 3 years

Decrease rate= 5%

To calculate the number of students in attendance in 3 years, we need to use the following formula:

Number of students= current attendance*(1+decrease rate)^(-n)

Number of students= 950*(1.05^-3)

Number of students= 820.64 = 821

Step-by-step explanation:

if AB and CD are parallel then

90 -x +83 +46 = 180 --> x= 39

Answer:

x = 39

Step-by-step explanation:

Using the properties of parallel lines, then

x + 44 = 83 ( subtract 44 from both sides )

x = 39

The statements that must be true about the figure are

AB is bisected by EF,CD is bisected by AB, AE = 1/2 AB, EF = 1/2 ED,

FD = EB.

AB is bisected by EF: This statement is true because point E is the midpoint of AB, meaning it divides AB into two equal parts, and EF is a line connecting the midpoints of the sides. Therefore, EF bisects AB.

CD is bisected by AB: This statement is also true because point F is the midpoint of CD, meaning it divides CD into two equal parts, and AB is a line connecting the midpoints of the sides. Therefore, AB bisects CD.

AE = 1/2 AB: This statement is true because E is the midpoint of AB, which means AE and EB are equal in length. Since E is the midpoint, AE is half the length of AB.

EF = 1/2 ED: This statement is true because F is the midpoint of CD, and EF is a line connecting the midpoints of the sides. Therefore, EF is half the length of CD, and ED is twice the length of EF.

FD = EB: This statement is true because F is the midpoint of CD, meaning FD and EB are equal in length.

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Rounding to the nearest degree, the measure of angle 1 is 16 degrees.

We can use the formula which is C = 2πr, where C is the circumference and r is the radius, to find the radius of the circle.

C = 2πr

13.100 = 2πr

r = 13.100 ÷ (2π)

r ≈ 2.084 inches

We can use the fact that angle 1 and angle 2 are opposite angles of an inscribed quadrilateral and thus add up to 180 degrees.

angle 1 + angle 2 = 180

To find angle 2

angle 2 = angle AOB + angle ABO

We know that angle AOB is a central angle,

which is (x + x) = 5.4 inches.

angle AOB = (arc AB) ÷ r

= 5.4 ÷ 2.084

≈ 2.59 radians

We can convert this to degrees by multiplying by 180/π:

angle AOB ≈ 148.5 degrees

To find angle ABO

angle ABO = (180 - angle AOB) ÷ 2

= (180 - 148.5) ÷ 2

= 15.75 degrees

Therefore,

angle 2 ≈ 148.5 + 15.75

= 164.25 degrees

Finally, we can find angle 1 by subtracting angle 2 from 180:

angle 1 = 180 - angle 2 ≈ 180 - 164.25 = 15.75 degrees

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Answer:

30%

Step-by-step explanation:

\(\frac{48}{160} = 0.3 = 30%\)

According to the given question we have The value of k that makes the function f continuous at x = 2 is -2.

To determine the value of k that makes the function f continuous at x = 2, we need to evaluate the limit of the function at x = 2 from both sides and ensure that they are equal.

First, let's evaluate the limit as x approaches 2 from the left side (x < 2). We have:

lim (x->2-) f(x) = lim (x->2-) (x^2 - 5x + k) = 2^2 - 5(2) + k = -2 + k

Next, let's evaluate the limit as x approaches 2 from the right side (x > 2). We have:

lim (x->2+) f(x) = lim (x->2+) (4 - 4x + k) = 4 - 4(2) + k = -4 + k

For the function to be continuous at x = 2, these two limits must be equal. Therefore, we have:

-2 + k = -4 + k

Solving for k, we get:

k = -2

Therefore, the value of k that makes the function f continuous at x = 2 is -2.

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The equation of the relation is y = 3/2x.

   x    |   y    

   0       0

   2       3

   4       6

To write the equation for the proportional relationship between two variables, x and y, find the unit rate, k, which is k = y/x.

Substitute the value of k into y = kx to write the equation of the relationship.

Using a point on the line, (2, 3):

k = y/x = 3/2

Substitute k = 3/2 into y = kx:

y = 3/2x

Using the equation, substitute each of the values of x in the table to get the corresponding value of y:

For 0:

y = 3/2(0)

y = o

For 2:

y = 3/2(2)

y = 3

For 4:

y = 3/2(4)

y = 6

The table is:

   x    |   y    

   0       0

   2       3

   4       6

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X = 40c + 39 = 40(4) + 39 = 199 is the required smallest positive integer.

The smallest positive integer which when divided by 4, 5, 8 and 9 leaves remainder 3, 4, 7 and 8, respectively is 539.

The given equation isx ≡ 3 (mod 4)x ≡ 4 (mod 5)x ≡ 7 (mod 8)x ≡ 8 (mod 9)

By the first condition,x = 4a + 3

where a is any positive integer.

Substituting in the second condition,4a + 3 ≡ 4 (mod 5)⇒ 4a ≡ 1 (mod 5)⇒ a ≡ 4 (mod 5)

Let a = 5b + 4 (where b is any positive integer)

Substituting this in x = 4a + 3, we get

x = 4(5b + 4) + 3 ⇒ x = 20b + 19

Now, substituting this in the third condition,20b + 19 ≡ 7 (mod 8)⇒ 4b ≡ 4 (mod 8)⇒ b ≡ 1 (mod 2)Let b = 2c + 1

Substituting this in x = 20b + 19,x = 20(2c + 1) + 19 ⇒ x = 40c + 39

Finally, substituting this in the fourth condition,40c + 39 ≡ 8 (mod 9)⇒ 4c ≡ 5 (mod 9)

We know that the modular inverse of 4 modulo 9 is 7.

Multiplying both sides by 7,7(4c) ≡ 7(5) (mod 9)⇒ 28c ≡ 35 (mod 9)⇒ c ≡ 4 (mod 9)

Hence,x = 40c + 39 = 40(4) + 39 = 199 is the required smallest positive integer.

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This questions is testing the knowledge on place value and total value.

The two to the left of the 2 in the tens place is 100 times larger than the 2 in the 100ths place in the value.

The total value of the 2 in the tens position is 20.

The total value of the 2 in the tenth position is 0.2.

To obtain the difference, divide the 20 in the tens position to the 2 in the tenths position.

20/0.2 = 100

the 2 in the tens place represents 100 times what the 2 to its left represents.

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The value of the function (s + t)(x) will be 4x³ + 11x² + 6x.

From the information given, the following can be deduced:

s(x) = x + 2.

t(x) = 4x + 3

The expression for (s + t)(x) will be:

= (x + 2)(4x + 3) × x

(4x² + 3x + 8x + 6) × x

= 4x³ + 3x² + 8x² + 6x

= 4x³ + 11x² + 6x

Therefore, the value of the function (s + t)(x) will be 4x³ + 11x² + 6x.

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Draw points at -2 and 5 on the number line

12/(-6) = -2

(-15)/(-3) = 5

1.-2

2.5

-15 divided by -3 would be 5 since their both negitive number the answer would be positive

and 12 divided by -4 would be negitive since one number is positive and the other is negitive

the probability that all 36 problems in the homework will be completed in less than 180 minutes

P(∑\(\left \{ {{i=36} \atop {i=1}} \right.\) \(X_{i}\) < 180) = P(X<5) = P(Z<-1) = ∅(-1)

given that

there are 36 independent problems

mean(μ) = 6minutes

standard deviation(σ) = 3 minutes

sample standard deviation = σ/\(\sqrt{n}\)

 = 3/\(\sqrt{36}\)

 =3/6

 =0.5

the sample mean x of 36 questions answering time approximately follows a normal distribution with mean 6 minutes and sample standard deviation is 0.5 minutes

now we need to find the probability that all 36 problems in the homework will be completed in less than 180 minutes

P(∑\(\left \{ {{i=36} \atop {i=1}} \right.\) \(X_{i}\) < 180) = P(X<5) = P(Z<-1) = ∅(-1)

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There is a 0.1818% chance that the production time will be between 11 and 12 minutes.

Each possible outcome is equally likely when there is a uniform probability.

We have an upper limit that we refer to as b and a lower limit that we refer to as a for this case.

The following formula gives the likelihood that we will discover a value X between c and d, where d is bigger than c.

P ( c ≤ X ≤ d ) = \(\frac{d-c}{b-a}\)           (Equation-1)

Production times are always within this range, which is evenly dispersed between 10 and 15.5 minutes.

This means that, a = 10 ; b = 15.5

The likelihood that a production time falls between 11 and 12 minutes is what.

d = 12 minutes ; c = 11 minutes

We can substitute in equation-1,

So,

We can write,

P ( c ≤ X ≤ d ) = \(\frac{d-c}{b-a}\)

P ( c ≤ X ≤ d ) = \(\frac{12-11}{15.5-10}\)

P ( c ≤ X ≤ d ) = \(\frac{1}{5.5}\)

P ( c ≤ X ≤ d ) = 0.1818

Therefore,

0.1818% probability that a production time is between 11 and 12 minutes.

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Answer:

equation of the line that passes through (2,7) and (7,12) is y=x+5

Given:

In the triangular base of the pyramid,

Base = 4m

Height = 7m

Area of base = 1/2 x Base x Height

=> 1/2 x 4 x 7 = 14 m^2

Now, Volume of Triangular Pyramid = 1/3 x Area of Base x Height

= 1/3 x 14 x 5

= 1/3 x 70

= 23.33 m^2 or 23 1/3 m^2

Answer:

AIHC

Step-by-step explanation:

NUMBER: 17        SQUARE: 289        SQUARE ROOT: 4.123

Hope this helps a little.

Answer:

a. 4 and 5

Step-by-step explanation:

We are given 17 squared, and are asked on whether which of it is between the following pairs.

Squaring a number always gives it a smaller number since you are trying to find a number times itself to make the number in the square root.

Therefore by this knowledge, a. would be the most reasonable answer, since 17 is quite a small number, squaring it will equal something smaller.

The ratings for the movie on a scale from one to four stars are measured on an ordinal scale.

The scale of measurement for the movie ratings is ordinal. In an ordinal scale, the values have a specific order or ranking, but the intervals between the values are not necessarily equal. In this case, the movie critic rates the movie on a scale from one to four stars, indicating the quality or desirability of the movie. Each star rating represents a distinct level of evaluation, with four stars indicating the highest rating and one star representing the lowest.

However, the difference between each rating is not quantitatively defined. For example, the difference between a two-star and three-star rating is not necessarily equivalent to the difference between a three-star and four-star rating. Therefore, the movie ratings on this scale are considered to be on an ordinal scale.

Therefore, the ratings for the movie on a scale from one to four stars are measured on an ordinal scale because they represent a ranking without equal intervals between the ratings.

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