1 bought 20 eggs for N30.00 and sold them for N40.00. What was my percentage gain?​

Answer:

You can't because it's not a "full fraction" like 7/7. The best you can do is turn that into a decimal like 0.43

Step-by-step explanation:

Answer:1311

Step-by-step explanation:

2 digit long multiplication.
__________________________________________
Long multiplication can seem very intimidating, especially if you're multiplying two numbers that are pretty large. If you take it step by step, though, you'll be able to do long multiplication in no time.

First, muiltiply the 3 by 5 and 7, and muiltiply the 2 by 5 and 7 as well.

\(\frac{\begin{matrix}\:\:&\:\:&5&7\\ \:\:&\times \:&2&3\end{matrix}}{\begin{matrix}0&1&7&1\\ 1&1&4&0\end{matrix}}\)

(NOTE: Remember when you muiltiply two digit numbers, when you pass from the first digit to the other on the bottom side, you ALWAYS add a zero to the beginning of the result BEFORE multiplying the following digit)

Secondly, once you've multiplied, you add both results of the multiplication.

\(\frac{\begin{matrix}\:\:&\textbf{\:\:}&1&\:\:&\:\:\\ \:\:&\textbf{0}&1&7&1\\ +&\textbf{1}&1&4&0\end{matrix}}{\begin{matrix}\:\:&\textbf{1}&3&1&1\end{matrix}}\)

\(=1311\) <- This is your final answer.
___________________________________________
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The sampling procedure being used to collect completion time data in this scenario is based on paired samples or dependent samples.

In paired samples, each observation in one sample is uniquely linked or paired with an observation in the other sample. In this case, the workers are randomly selected, and each worker is assigned to use both production methods, one after the other. The completion time for each worker is measured under both methods, creating paired or dependent observations.

By using paired samples, the company can compare the completion times of the same workers using different production methods. This approach helps eliminate individual differences and other sources of variability among workers, focusing solely on the comparison between the two methods.

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The situation that can be modeled by a linear function is:

An amusement park allows 50 people every 30 minutes

Option 3 is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

A linear function is a function in the form of f(x) = mx + c.

Now,

1)

The population of bacteria triples every day.

This can be written as a function,

f(x) = M x \(3^x\)

Where M is the initial number of bacteria and x is the number of days.

This is an exponential function.

2)

The value of cell phones depreciates at a rate of 3.5% each year.

This can be written as a function,

f(x) = M x \(96.5^x\)

Where M is the initial value and x is the number of years.

This is an exponential function.

3)

An amusement park allows 50 people every 30 minutes.

This can be written as a function,

f(x) = 50x

Where x is the number of times of 30 minutes.

This is a linear function.

4)

A baseball tournament eliminates half of its teams after each round.

This can be written as a function,

f(x) = M x \((1/2)^x\)

Where x is the number of rounds.

This is an exponential function.

Thus,

An amusement park allows 50 people every 30 minutes can be modeled by a linear function.

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Answer:

equal because by adding them u get equal numbers 36 and Bob aquarium is high while Terry aquarium is long and wide.

The total distance that Jacob and his dad hiked from their campsite to the top of the mountain is approximately 7,105.92 feet.

To calculate the total distance Jacob and his dad hiked from their campsite to the top of the mountain, we need to consider the width of the base of the mountain and the height of the mountain.

Given:

Base width of the mountain: 2,600 feet

Since the mountain is pretty much isosceles, we can assume that the height of the mountain is equal to the length of the two equal sides of the triangle formed.

To find the height of the mountain, we can use the Pythagorean theorem.

Let's assume the height of the mountain is 'h' feet.

Using the Pythagorean theorem, we have:

\((2,600/2)^2 + h^2 = 2,600^2\)

Simplifying the equation:

\(1,300^2 + h^2 = 2,600^2\\1,690,000 + h^2 = 6,760,000\)

\(h^2 = 6,760,000 - 1,690,000\\h^2 = 5,070,000\)

Taking the square root of both sides:

h = sqrt(5,070,000)

h ≈ 2,252.96 feet

Now we can calculate the total distance they hiked from their campsite to the top of the mountain by considering the base width and the height of the mountain.

Total distance = Base width + 2 × Height

Total distance = 2,600 + 2 × 2,252.96

Total distance ≈ 2,600 + 4,505.92

Total distance ≈ 7,105.92 feet

Therefore, the total distance that Jacob and his dad hiked from their campsite to the top of the mountain is approximately 7,105.92 feet.

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The magnitude of the force on the window from the ladder is 1106 N, the magnitude of the force on the ladder from the ground is 1455 N, and the angle of that force on the ladder is 28.6 degrees.

Mass of the window cleaner, m1 = 89 kg, Mass of the ladder, m2 = 13 kg, Length of the ladder, l = 6.9 m, Distance of the ladder from the wall, x = 4.2 m, Height of the window cleaner from the ground, h = 1.9 m

Let us now calculate the force on the window from the ladder. Using the principle of moments, the ladder's weight acts at its midpoint, which is 0.5 x 6.9 = 3.45 m from the point of contact with the wall.

To keep the ladder in equilibrium, the force acting to the right and the force acting upward must be balanced. The angle θ between the ladder and the horizontal is given by tan θ = h / x+ l/2 = 1.9 / (4.2 + 6.9/2) = 0.214.θ = 12.1 degrees

The magnitude of the force on the window from the ladder is given by F1 = (m1 + m2)g / sinθ = (89 + 13)9.8 / 0.214 = 1106 N. To calculate the magnitude of the force on the ladder from the ground, use the force balance in the vertical direction.F2 = m1g + m2g - F1 = (89 + 13)9.8 - 1106 = 1455 N.

Finally, the angle of that force on the ladder is given by sin α = F2 / (m1 + m2)g.

cos α = √(1 - sin²α)

cos α = 0.826α

= 28.6 degrees.

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To solve the given problem, we first find the DFAs for the simpler languages, then combine them using the construction discussed in footnote 3 (page 46) to give the state diagram of a DFA for the language given.

Let's start solving the given parts: a. {w∣w has at least three a's and at least two b's }A DFA for L1= {w∣w has at least three a's and at least two b's } can be constructed as follows:

Now, we need to construct a DFA for the simpler language B1 = {w | w has at least two b's}. Constructing the DFA for B1 using a state diagram: Now, we need to combine the above two DFAs to get a DFA for language {w | w has at least three a's and at least two b's}.

Let's combine DFA for L1 and DFA for B1 using the construction discussed in footnote 3 (page 46):b. {w∣w has exactly two a's and at least two b's }A DFA for L2 = {w∣w has exactly two a's and at least two b's } can be constructed as follows:

Now, we need to construct a DFA for the simpler language B2 = {w | w has at least two b's}. Constructing the DFA for B2 using a state diagram: Now, we need to combine the above two DFAs to get a DFA for language {w | w has exactly two a's and at least two b's}.

Let's combine DFA for L2 and DFA for B2 using the construction discussed in footnote 3 (page 46):c. {w∣w has an even number of a's and one or two b's }A DFA for L3 = {w∣w has an even number of a's and one or two b's } can be constructed as follows:

Now, we need to construct a DFA for the simpler language B3 = {w | w has one or two b's}. Constructing the DFA for B3 using a state diagram: Now, we need to combine the above two DFAs to get a DFA for language {w | w has an even number of a's and one or two b's}.

Let's combine DFA for L3 and DFA for B3 using the construction discussed in footnote 3 (page 46):d. {w∣w has an even number of a's and each a is followed by at least one b}A DFA for L4= {w∣w has an even number of a's and each a is followed by at least one b} can be constructed as follows:

Now, we need to construct a DFA for the simpler language B4 = {w | each a in w is followed by at least one b}. Constructing the DFA for B4 using a state diagram: Now, we need to combine the above two DFAs to get a DFA for language {w | w has an even number of a's, and each a is followed by at least one b}.

Let's combine DFA for L4 and DFA for B4 using the construction discussed in footnote 3 (page 46):e. {w∣w starts with an a and has at most one b }A DFA for L5 = {w∣w starts with an a and has at most one b } can be constructed as follows: Now, we need to construct a DFA for the simpler language B5 = {ε, b, bb}.

Constructing the DFA for B5 using a state diagram: Now, we need to combine the above two DFAs to get a DFA for language {w | w starts with an a and has at most one b}.

Let's combine DFA for L5 and DFA for B5 using the construction discussed in footnote 3 (page 46):f. {w∣w has an odd number of a's and ends with a b }A DFA for L6 = {w∣w has an odd number of a's and ends with a b } can be constructed as follows: Now, we need to construct a DFA for the simpler language B6 = {b}.

Constructing the DFA for B6 using a state diagram: Now, we need to combine the above two DFAs to get a DFA for language {w | w has an odd number of a's and ends with a b}.

Let's combine DFA for L6 and DFA for B6 using the construction discussed in footnote 3 (page 46):g. {w∣w has even length and an odd number of a's }A DFA for L7= {w∣w has even length and an odd number of a's } can be constructed as follows: Now, we need to construct a DFA for the simpler language B7 = {w | w has even length}.

Constructing the DFA for B7 using a state diagram: Now, we need to combine the above two DFAs to get a DFA for language {w | w has even length and an odd number of a's}. Let's combine DFA for L7 and DFA for B7 using the construction discussed in footnote 3 (page 46):

Thus, we have constructed DFAs for the simpler languages, then combined them using the construction discussed in footnote 3 (page 46) to give the state diagram of a DFA for each of the given languages.

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The closed-loop transfer function from the disturbance torque to output angular speed is equal to the reciprocal of the transfer function from the disturbance torque to the error signal multiplied by the transfer function from the error signal to the output angular speed. That is where T_f is the forward path transfer function, T_b is the feedback path transfer function, and T_c is the closed-loop transfer function

T_c = T_f / (1 + (T_f × T_b))

In a control system, the disturbance torque can affect the output angular speed through the error signal, which represents the difference between the desired angular speed and the actual angular speed. The closed-loop transfer function from the disturbance torque to the output angular speed can be found by following these steps:

Write the transfer function from the disturbance torque to the error signal, which is the forward path transfer function of the control system.

Write the transfer function from the error signal to the output angular speed, which is the feedback path transfer function of the control system.

Multiply the forward path and feedback path transfer functions to obtain the overall transfer function from the disturbance torque to the output angular speed.

Take the reciprocal of the transfer function from the disturbance torque to the error signal.

Multiply the reciprocal by the transfer function from the error signal to the output angular speed to obtain the closed-loop transfer function from the disturbance torque to the output angular speed.

Mathematically, this can be expressed as:

T_c = T_f / (1 + (T_f × T_b))

where T_f is the forward path transfer function, T_b is the feedback path transfer function, and T_c is the closed-loop transfer function.

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The volume of the given triangular prism is 192 cubic centimeters.

To find the volume of a triangular prism, we need to multiply the area of the base triangle by the height of the prism. In this case, the base of the triangle has a length of 12 cm and an altitude of 8 cm. Thus, the area of the base can be found using the formula for the area of a triangle, which is (1/2) x base x height.

Area of base triangle = (1/2) x 12 cm x 8 cm = 48 cm²

The height of the prism is given as 4 cm. Therefore, we can now find the volume of the prism by multiplying the area of the base by the height of the prism.

Volume of triangular prism = area of base x height of prism = 48 cm² x 4 cm = 192 cm³

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Complete Question:

Find the volume of the solid. Round to the nearest tenth, if necessary. triangular prism: base of triangle 12 cm, altitude of triangle 8 cm, height of prism 4 cm

Let's start by substituting the right-hand side of the equation into the left-hand side:

What does the math equation mean?

Two expressions are combined by the equal sign to form a mathematical statement known as an equation. For instance, a formula might be 3x - 5 = 16. After solving this equation, we learn that the value of the variable x is 7.

4y - 3 = 4(y + 1)

4y - 3 = 4y + 4

Now, we can isolate y by subtracting 4y from both sides:

0 = y + 4

-4 = y

So, there is a solution to the equation: y = -4. This means that Dawson is incorrect in saying that the equation has no solution.

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Answer:

B the height is 16 ft

Step-by-step explanation:

Answer:16

Step-by-step explanation: k12

Distance is increasing with a speed of 0.2 Miles/Min

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Time in Minutes      Distance in Miles

0                              0.0

2                              0.4

4                              0.8

6                              1.2

8                              1.6

Here, Myra’s distance is increasing as time increase with a constant Speed.

Now, In every 2 mins distance traveled = 0.4 Miles

Hence, In every 1 min Distance traveled = 0.4/2 = 0.2 Miles/Min

Thus, Distance is increasing with a speed of 0.2 Miles/Min.

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Answer:

4/4 or 1

Step-by-step explanation:

Answer:

It's 1

Step-by-step explanation:

The equatiion where C is the constant of integration.To evaluate the indefinite integral ∫(3e^x + 4x^5 - x^3/4 + 1)dx, we can integrate each term separately.

∫3e^x dx = 3∫e^x dx = 3e^x + C₁

∫4x^5 dx = 4∫x^5 dx = 4 * (1/6)x^6 + C₂ = (2/3)x^6 + C₂

∫-x^3/4 dx = (-1/4)∫x^3 dx = (-1/4) * (1/4)x^4 + C₃ = (-1/16)x^4 + C₃

∫1 dx = x + C₄

Now, we can combine these results to obtain the final answer:

∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C

Therefore, the indefinite integral of (3e^x + 4x^5 - x^3/4 + 1)dx is:

∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C

where C is the constant of integration.

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Answer:

distribute x as 3:

3²+10(3)+24

=63

Answer: ∠1 = 48°, ∠2 = 42°

Step-by-step explanation:

∠M = 90° = ∠1 + (3x)° = (2x + 20)° + (3x)°

2x + 20 + 3x = 90

2x + 3x = 90 - 20

5x = 70

x = 14

∠1 = 2x + 20 = 2(14) + 20 = 28 + 20 = 48°

∠2 = 3x = 3(14) = 42°

(I hope this is right :\)

Answer:

5x - 12

Step-by-step explanation:

If P is the midpoint of Line ST, then Lines SP and PT equal ST.

\(SP=x+12\\PT=4x\\SP+PT=x-12+4x\\SP+PT=5x-12\\ST=5x-12\)

Answer:

ST = 32

Step-by-step explanation:

Since P  is the midpoint of ST , then

SP = PT , that is

x + 12 = 4x ( subtract x from both sides )

12 = 3x ( divide both sides by 3 )

4 = x

Then

ST = SP + PT = x + 12 + 4x = 5x + 12 , so

ST = 5(4) + 12 = 20 + 12 = 32

Line perpendicular to a given line is = 1/m

To find m, use m =y2-y1/x2-x1 formula

m = (8-(-3))/(-7-4)

m = 11/-11,

m = -1

Use y= mx+c to find equation of line

Plug in a pair of values,

-3= -1(4)+ c

c= 1

Thus, equation is:

y = -x+1

Equation of line perpendicular to this line is:

y= x+1

Hope it helps :)

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6) m<ABC = m<ABK + m<CBK

157° = (4x + 10) + (14x +3)

157° = 18x + 13

x = 8°

m<CBK = 14(8°) + 3

m<CBK = 115°

7) am not sure, i think b

The angle between the vectors u and v is approximately 147.140 degrees.

To find the angle between two vectors, we can use the dot product formula:

cos(θ) = (u × v) / (||u|| × ||v||),

where u × v is the dot product of vectors u and v, and ||u|| and ||v|| are the magnitudes of vectors u and v, respectively.

Given u = (3, 1) and v = (-2, -5), we can calculate the dot product as follows:

u × v = (3 × -2) + (1 × -5) = -6 - 5 = -11.

Next, we calculate the magnitudes of u and v:

||u|| = √(3² + 1²) = √(9 + 1) = √10,

||v|| = √((-2)² + (-5)²) = √(4 + 25) = √29.

Now we can substitute these values into the angle formula:

cos(θ) = -11 / (√10 × √29).

Using a calculator, we can find the value of θ by taking the inverse cosine:

θ = \(cos^{(-1)\)(-11 / (√10 × √29)).

After evaluating this expression, we find that θ is approximately 147.140 degrees.

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On calculator it means -

4.6 x \(10^{-7}\).

We have 4.6 E −7.

We have to determine what it represents on calculator.

Scientific notation is a way of writing very large or very small numbers in the powers of 10.

According to the question, we have -

4.6 E−7

On calculator it means -

4.6 x \(10^{-7}\)

This is in the form of Scientific Notation.

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The stack grows downwards in memory, meaning that as new variables are added, they are allocated at lower memory addresses compared to previously allocated variables.

Regarding whether variables stored on the stack can have the same address as other variables, it is possible but highly unlikely. Each variable on the stack is typically allocated a unique memory address. The compiler and the underlying system manage the allocation of memory for variables on the stack to ensure that they do not overlap or share the same address.

However, it's worth noting that certain scenarios, such as when using recursion or nested function calls, may lead to temporary overlapping of stack frames. In such cases, variables within different stack frames may have the same relative addresses, but they still have distinct absolute addresses within their respective stack frames.

In general, the stack is organized in a way that ensures variables have distinct addresses to maintain proper memory isolation and prevent unintended data corruption.

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To show the formation of a sulfide ion from a neutral sulfur atom, we need to add two electrons to the sulfur atom, as sulfide ion has a charge of -2. Therefore, the equation for this process is: S + 2e- → S2-

In this equation, S represents the neutral sulfur atom, while S2- represents the sulfide ion that is formed after the addition of two electrons. This reaction is a reduction reaction, as sulfur is gaining two electrons to form a negatively charged ion.
In summary, the equation S + 2e- → S2- shows the formation of the sulfide ion from a neutral sulfur atom by adding two electrons to it. This equation highlights the importance of electron transfer in chemical reactions and how it can lead to the formation of new compounds.

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Answer:

You would divided.

Step-by-step explanation:

You would first divided every step until you get the answer I am new so I am not going to tell you the answer but first solve it out and if you need anymore htlp then come back and ask.

Therefore, the vertical asymptote of the function f(x) is x = -3.

To determine the vertical asymptotes of the function f(x) = (x^2 - 4)/(3x + 9), we need to find the values of x for which the denominator is equal to zero.

Setting the denominator equal to zero:

3x + 9 = 0

Solving for x:

3x = -9

x = -3

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Answer:

171

Step-by-step explanation:

Range without outlier = 85 maximum - 38 minimum = 47

Range with outlier = 256-38 = 218

increase = 218-47 = 171

The critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance is 10.76.

The critical value can be determined using a statistical table.

The degrees of freedom for the blocks is 4 (df_b = 5 - 1 = 4) and for the treatments is 2 (df_t = 3 - 1 = 2).

The critical value for a 5% level of significance is 10.76.

This value can be found in the statistical table given in the textbook.

The critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance can be calculated by using the F-test statistic.

The F-test is used to compare the variance between the blocks (SSBL) and the variance between the groups (SSB).

The F statistic is calculated by dividing the variance between the blocks (SSBL) by the variance between the groups (SSB).

In this case,

The F statistic is 3738/1048.93 = 3.56.

The critical value for a 5% level of significance can be found using a statistical table.

According to the table,

The critical value for an F statistic of 3.56 with four degrees of freedom in the numerator and four degrees of freedom in the denominator is 10.76

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here is your answer.hope it helps you