Can someone help on this please? Thank you:)

Answer:

Tan A for first page  25/49  

Tan A for second page 37/49

Tan B for first page 24/49

Tan B for second page 12/49

Answer: To solve this problem, we need to first find the average number of shoppers in the new store at any time and the average number of shoppers in the original store at any time, and then calculate the percent difference between the two.

Let's start by finding the average number of shoppers in the new store at any time. We know that 90 shoppers enter the store per hour, and each shopper stays for an average of 12 minutes, which is 0.2 hours. So the number of shoppers in the store at any time is:

90 shoppers/hour × 0.2 hours/shopper = 18 shoppers

Now let's find the average number of shoppers in the original store at any time. We don't have any information about the original store, so let's call the average number of shoppers in the original store "x". We want to find the percent difference between x and 18, so we need to calculate:

percent difference = |x - 18| / x × 100%

To solve for x, we need to use some algebra. We know that the number of shoppers entering the original store per hour is equal to the number of shoppers leaving the store per hour (assuming the store has a steady flow of shoppers and no one stays for more than an hour). So if we let t be the average amount of time each shopper stays in the original store, we can write:

x/t = shoppers entering the store per hour = shoppers leaving the store per hour = x/t

We can then solve for t:

x/t = x/t

x = x × t/t

x = t

So the average number of shoppers in the original store at any time is equal to the average amount of time each shopper stays in the store.

We don't know the average amount of time each shopper stays in the original store, but we can make an estimate based on the information we have about the new store. We know that the average amount of time each shopper stays in the new store is 12 minutes, or 0.2 hours. If we assume that the shopping behavior is similar in both stores, we can use this estimate for the original store as well.

So we have:

x = t = 0.2 hours

Now we can calculate the percent difference between x and 18:

percent difference = |x - 18| / x × 100%

percent difference = |0.2 - 18| / 0.2 × 100%

percent difference = 8800%

This means that the average number of shoppers in the new store at any time is 8800% less than the average number of shoppers in the original store at any time. However, this answer seems implausible, since a percent difference greater than 100% means that the new store has a negative number of shoppers!

It's possible that there was an error in the problem statement, such as a typo or a missing decimal point. If we assume that the average number of shoppers in the new store is actually 18 per hour (instead of 90 per hour), we get a more reasonable answer:

x = t = 0.2 hours

percent difference = |x - 18| / x × 100%

percent difference = |0.2 - 18| / 0.2 × 100%

percent difference ≈ 98%

So the average number of shoppers in the new store at any time is approximately 98% less than the average number of shoppers in the original store at any time.

Step-by-step explanation:

The linear equation of the line shown in the graph will be 3y +x= 0.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

As we can observe in the given graph of lines,

the given line passes through the point (0, 0) origin and (-6, 2).

The slope-intercept form of the equation of a line

y=mx+b,

where m is the slope

b is the y-intercept

Since y-intercept is the value of y in line at x = 0

in our case, b = 0

since, slope = (y - y')/(x -x')

Slope = (2-0)/(-6-0)

Slope = 2/-6

Slope = -1/3

thus,

the equation of the line shown in the graph will be y = -1/3x

the equation of the line shown in the graph will be 3y +x= 0.

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The derivative of the function y = x(6x + 1)⁵ is: dy/dx = (6x + 1)⁵ + 30x(6x + 1)⁴

To find the derivative of the given function, we can apply the rules of differentiation. Using the product rule, we differentiate each term separately and then add them together.

For the first term x, the derivative is simply 1.

For the second term (6x + 1)⁵, we apply the chain rule. The derivative of (6x + 1)⁵ with respect to x is 5(6x + 1)⁴ multiplied by the derivative of the inner function 6x + 1, which is 6.

Multiplying these derivatives together, we get (6x + 1)⁵ * 6 = 6(6x + 1)⁵.

For the third term x(6x + 1)⁴, we again apply the product rule. The derivative of x is 1, and the derivative of (6x + 1)⁴ is 4(6x + 1)³ multiplied by the derivative of the inner function 6x + 1, which is 6.

Multiplying these derivatives together, we get x * 4(6x + 1)³ * 6 = 24x(6x + 1)³.

Finally, we add the derivatives of each term to get the derivative of the entire function: dy/dx = (6x + 1)⁵ + 30x(6x + 1)⁴.

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Complete question:

Use the rules of differentiation to find the derivative of the function y= x(6x + 1)⁵

(6x + 1)⁵ + 30x(6x + 1)⁴

(6x + 1)⁴ (36x + 1)

x-1/6

No correct answer provided.

Answer: 10 women

Step-by-step explanation:

From the question, we are informed that there are 18 men for 2 women in the armed forces. This gives us a fraction of: 2/18 = 1/9

In a group of 90 military personnel, the number that'll be expected to be women will be:

= 1/9 × 90

= 10 women

The approximate value of f(1) using Euler's method with two steps of equal size is 6.636. The range of f for t > 0 is 0 < f(t) < 6.

a. The limiting factor in this logistic differential equation is the carrying capacity, which is 6 in this case. As y approaches 6, the growth rate of y slows down, until it eventually levels off at the carrying capacity.

b. To use Euler's method, we first need to calculate the slope of the solution at t=0. Using the given differential equation, we can find that the slope at t=0 is y(0)/8(6-y(0)) = 8/8(6-8) = -1/6.

Using Euler's method with two steps of equal size, we can approximate f(1) as follows:

f(0.5) = f(0) + (1/2)dy/dx|t=0

= 8 - (1/2)(1/6)*8

= 7.333...

f(1) = f(0.5) + (1/2)dy/dx|t=0.5

= 7.333... - (1/2)(7.333.../8)*(6-7.333...)

= 6.636...

Therefore, the approximate value of f(1) using Euler's method with two steps of equal size is 6.636.

c. The range of f for t > 0 is 0 < f(t) < 6, since the carrying capacity of the logistic equation is 6. As t approaches infinity, f(t) will approach 6, but never exceed it. Additionally, f(t) will never be negative, since it represents a population size. Therefore, the range of f for t > 0 is 0 < f(t) < 6.

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Answer:

see explanation

Step-by-step explanation:

(a)

AB = 4 + x

(b)

the area (A) of rectangle ABCD is calculated as

A = length × breadth

   = AB × AD

   = (4 + x)(6 + x) ← expand using FOIL

   = 24 + 10x + x²

given A = 28 , then

x² + 10x + 24 = 28 ( subtract 24 from both sides )

x² + 10x = 4 ← in the form x² + ax = b

with a = 10 and b = 4

Answer:

Spends $20 and she has $5 leftover.

Step-by-step explanation:

Answer:

  7.7 km

Step-by-step explanation:

This question is asking you to find the third side of a triangle in which two sides and an angle not between them are given. The law of sines provides the necessary relationships.

The Law of Sines tells you that triangle side lengths are proportional to the sine of the opposite angle. For this triangle TPJ, the relation is ...

  t/sin(T) = p/sin(P) = j/sin(J)

We are given T=68°, p=5.2 km, t=7.5 km, and we are asked to find the length of j, the TP distance.

We know the sum of angles in a triangle is 180°, and the sine of an angle is equal to the sine of its supplement. This lets us fill in the Law of Sines equation like this:

  7.5/sin(68°) = 5.2/sin(P) = j/sin(68°+P) . . . . . solve for j

This can be solved in two steps. First, we find angle P, then we use that to find length j.

  sin(P) = 5.2/7.5 × sin(68°) ≈ 0.642847

  P = arcsin(0.642847) ≈ 40.0045°

Now, we can find j:

  j = 7.5 × sin(68° +40.0045°)/sin(68°) ≈ 7.693 . . . km

The distance from the tower to the plane is about 7.7 km.

__

Additional comment

We have used T, P, and J to refer to the vertices at the tower, plane, and jet.

The triangle can also be solved using the Law of Cosines. In that case, the missing side will be the solution to a quadratic equation with irrational coefficients.

Answer:

a. \(\frac{3}{5} = \frac{1}{5} + \frac{1}{5} + \frac{1}{5}\)  

b. \(\frac{3}{5} = \frac{2}{5} + \frac{1}{5}\)

I hope this helps!

Step-by-step explanation:

3/5=1/5+1/5+1/5

3/5=2/5+1/5

Answer:

2/5

Step-by-step explanation:

1) rearrange the equation in the form y=mx+c where m is the gradient and y is the y intercept

2x-5y-8=0

add 5y to both sides

2x-8=5y

divide 5 on both sides

2/5x - 8/5 = y

overall equation is y=2/5x-8/5

the gradient is 2/5

To sketch the region enclosed by the curves y = cos(x) and y = sin(2x) for the interval 0 ≤ x ≤ 2, we can follow these steps:

1. Plot the graphs of the two functions separately on the given interval.

For y = cos(x):

- Start by marking key points on the graph: (0, 1), (π/2, 0), (π, -1), (3π/2, 0), (2π, 1).

- Connect the points smoothly to create a curve that oscillates between 1 and -1.

For y = sin(2x):

- Start by marking key points on the graph: (0, 0), (π/4, 1), (π/2, 0), (3π/4, -1), (π, 0), (5π/4, 1), (3π/2, 0), (7π/4, -1), (2π, 0).

- Connect the points smoothly to create a curve that oscillates between 1 and -1, but with twice the frequency of the cosine curve.

2. Identify the region enclosed by the curves.

- The region enclosed by the curves is the area between the two curves from x = 0 to x = 2.

3. Shade the region enclosed by the curves.

- Shade the area between the two curves on the interval 0 ≤ x ≤ 2.

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Answer:

2nd problem

The sum of the angles of the triangle is 180°.

B= 90°

Answer:

thats a really hard question problem is that my phones broken and i cant see clearly

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Brainlyyyyyyyy

Answer:

83 calories

Step-by-step explanation:

Answer:

553 calories

Step-by-step explanation:

He will burn 420 for running because 1,080/2.5 = 420. He will burn 133 because 266 times 0.5 equals 133. So a total of 553 when you add the two.

Answer:

d. $6

Step-by-step explanation:

Answer:

(- 3, 4 )

Step-by-step explanation:

2x + 5y = 14 → (1)

4x + 2y = - 4 → (2)

multiplying (1) by - 2 and adding to (2) will eliminate the x- term

- 4x - 10y = - 28 → (3)

add (2) and (3) term by term to eliminate x

0 - 8y = - 32

- 8y = - 32 ( divide both sides by - 8 )

y = 4

substitute y = 4 into either of the 2 equations and solve for x

substituting into (1)

2x + 5(4) = 14

2x + 20 = 14 ( subtract 20 from both sides )

2x = - 6 ( divide both sides by 2 )

x = - 3

solution is (- 3, 4 )

It is not possible to determine the combined cost of 1 pound of salmon and 1 pound of trout based on the given information.

To find the combined cost of 1 pound of salmon and 1 pound of trout, we need to determine the individual costs of each type of fish and then add them together.
Let's denote the cost of 1 pound of salmon as "s" and the cost of 1 pound of trout as "t". We know that Melissa buys 212 pounds of salmon and 114 pounds of trout, and she pays a total of $31.25.
From the given information, we can set up two equations:
Equation 1: 212s + 114t = 31.25 (total cost equation)
Equation 2: t = s - 0.20 (trout costs $0.20 per pound less than salmon)

To find the combined cost, we need to eliminate one variable. Let's solve Equation 2 for s:
s = t + 0.20
Substituting this value of s in Equation 1, we get:
212(t + 0.20) + 114t = 31.25
Expanding and simplifying the equation:
212t + 42.40 + 114t = 31.25
326t + 42.40 = 31.25
326t = 31.25 - 42.40
326t = -11.15
t = -11.15 / 326
t ≈ -0.034
However, since we're dealing with the cost of fish, a negative value doesn't make sense. So, we can conclude that there may be an error in the given information or calculation.

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Answer:

7 over 2x-2

Step-by-step explanation:

Answer:

g^-1 •7

7g^-1

7•1/g

answer is 7/g

I hoped I helped!! :)

Answer: I think If a cube has an edge length of 1 cm, and it is divided into 5 cm cubes, there will be 1 x 1 x 1= 1 cm  cube.

Answer:

Below in bold.

Step-by-step explanation:

The total sum of the numbers in A is 124 and the sum of the numbers in B = 56

Let x be the number passed from A to B, then from the given information:

124 - x = 56 + x + 20

124 - 56 - 20 = 2x

48 = 2x

x = 24.

a) So the number passed is 24.

b) Sum of numbers in B = 56 + 24 = 80.

c) Let pencil cost x then pen will cost 1.1 - x.

Now the pen costs 1 pound more than the pencil

so  1.1 - x - x = 1

-2x = -0.1

x = 0.05.

So the pen costs 1.1 - 0.05 = £1.05.

The integral solution is: ∫\((1/(7\sqrt{(16 - x^2)))} dx = (1/112) arcsin(x/4) + C.\)

To evaluate the integral ∫\((1/(7\sqrt{(16 - x^2)))} dx\) using the substitution x = 4 sin(θ), we can start by finding dx/dθ:

dx/dθ = 4 cos(θ)

∫\((1/(7\sqrt{(16 - x^2)))} dx\)= ∫\((1/(7\sqrt{(16 - 16sin^2}\)(θ)))) (\(4cos\)(θ)) dθ

Simplifying the denominator, we get:

∫\((1/(7\)\(\sqrt{(16 - 16sin^2}\)(θ)))) \((4cos\)(θ)) dθ = ∫\((1/(28cos\)(θ))) dθ

Now we can use the trigonometric identity cos^2(θ) = 1 - sin^2(θ) to rewrite the denominator:

∫\((1/(28cos\)(θ))) dθ = ∫\((1/(28\)√\((1 - sin^2\)(θ)))) dθ

dx = 4 cos(θ) dθ

∫\((1/(28√(1 - sin^2\)(θ)))) dθ = ∫\((1/(28√(1 - (x/4)^2))) (1/4) dx\)

This is the form of the integral that we can evaluate using the substitution \(u = x/4\) and the formula for the integral of \(1/\) √\((1 - u^2)\), which is arcsin(u) + C.

Substituting \(u = x/4\) and simplifying, we get:

\((1/112)∫(1/√(1 - (x/4)^2)) dx = (1/112) arcsin(x/4) + C\)

Therefore, the solution is:

\(∫(1/(7√(16 - x^2))) dx = (1/112) arcsin(x/4) + C\)

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70,000 pounds of 0.6% grade copper ore needs to obtain 420 pounds of copper and 69,580 pounds of ground rock would be left after extracting 420 pounds of copper from the 0.6% grade copper ore.

How to find pounds of copper for different conditions?

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"Centripetal is the word used to describe a vector that always points toward the centre of a circular path."

The centripetal acceleration vector is an acceleration in the radial direction that is directed towards the centre of the circular line of motion. It runs perpendicular to the linear motion, or v.

The direction of the velocity shift for a ball travelling around a curve is in the direction of the curve's centre. Centripetal acceleration is the acceleration that is directed towards the centre of a curved or circular route.

Any force that changes the path of motion towards the centre of a circular motion is known as a centripetal force. The portion of the force that produces the centripetal force is the part that is perpendicular to the velocity.

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The major methods of recording unstructured observational data are Narrative Description, Field Notes, Audio or Video Recording, Photography, Diagrams or Maps.

The major methods of recording unstructured observational data are:

1. Narrative Description: This method involves writing a detailed, chronological account of the observed events or behaviors, capturing the context and interactions as they occur naturally.

2. Field Notes: In this method, the observer takes brief, concise notes during the observation, focusing on key events, behaviors, or interactions. These notes can be expanded and organized later for further analysis.

3. Audio or Video Recording: Using audio or video equipment, the observer captures the events and interactions in their entirety. This allows for a more accurate record and the ability to review and analyze the data multiple times.

4. Photography: Taking photographs during the observation can provide a visual record of the events and behaviors. These images can supplement other data collection methods and help to illustrate specific aspects of the observation.

5. Diagrams or Maps: Drawing diagrams or maps of the observation setting can help capture the spatial relationships between individuals and objects, as well as the overall layout of the environment.

These methods can be used individually or in combination, depending on the research question and the specific needs of the study. Remember to always respect participants' privacy and obtain informed consent when necessary.

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The total number of red marbles in the vase are 10.

A ratio is described as a comparison between two amounts with the same unit to determine the amount of 1 quantity is contained in the other. Ratios are divided into two sorts.

The first is a part-to-part ratio, and the second is a part-to-whole ratio. The part-to-part ratio expresses the relationship between 2 separate entities or groupings.

Now, according to the question;

Let 'x' be the red marbles in the vase.

Let 'y' be the orange marbles in the vase.

The total number of marbles in the vase are 60

x  + y = 60 (equation 1)

The ratio of red marbles to orange ones is 1:5.

Thus, x/y = 1/5

cross multiplying;

5x = y

or y = 5x

substitute the value of y in equation 1;

x  + y = 60 (equation 1)

x  + 5x = 60

6x = 60

x = 10  (red marbles)

Thus, the number of red marbles in the vase are 10.

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The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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By using the graphing function on a calculator, a solution to the system of equations shown above include the following: A. x = 13/12, y = -3/4.

In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis (x-coordinate) and y-axis (y-coordinate) respectively.

In this scenario, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

4y + 12x = 10     ........equation 1.

2y - 6x = -8       ........equation 2.

Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each of them, which is given by the ordered pair (13/12, -3/4) or (1.083, -0.75).

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Answer:The greatest possible error of a measurement is considered to be one-half of the measuring unit. If you measure a length to be 4.3 cm. (measuring to the nearest tenth), the greatest possible error is one-half of one tenth, or 0.05. This means that any measurements in the range from 4.25 cm. to 4.35 cm. are perceived as correct.

Step-by-step explanation:

Answer:

The greatest possible error for a measurement of 0.05 metric tons would depend on the accuracy of the measurement device or technique being used. Without more information about the specific measurement method, it is impossible to determine the greatest possible error.

Step-by-step explanation:

The two numbers among them are such that one divides the other.

The Collection of well-defined objects or elements is known as a set. The objects in a set are called elements. The Set contains a finite number of elements. The Set is denoted by any capital letter like A, B etc. Elements of the set can be numbers, alphabets etc.

The elements of the set are listed inside the curly brackets { ..... }. There are various types of sets. Cardinal number or cardinality denotes the number of elements in the set. Cardinality is denoted by n( X ) where X is a set. The number of subsets of the set is given by 2^n.

As per the question,

Let us divide the set into two sets,

                A   =   { 1, 3 . . . . . n }    and   B   =   { 2, 4 . . . . . . 2n }

A and B contain the same number of elements i.e. two sets have equal sizes. Element of B is one of the elements of A multiplied by 2 or elements of B multiplied by 2. So, if we remove the powers of 2 i.e we divide each element by \(2^{k}\). Then there exist another 2 sets \(A ^{'}\) and \(B^{'}\) such that \(A ^{'}\) U \(B^{'}\) = \(A ^{'}\) .

By using the pigeonhole principle, \(A ^{'}\) consists of n elements and we add +1 to it additionally.

Therefore, When we are given n + 1 numbers from set { 1, 2 . . . .  2n }, there are two numbers among them such that one divides the other.

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