The difference between twice a number and a number that is 5 more than it is 3. Which of the following equations could be used to find the value of the number, n?

Answer:

its cheaper in new York by $1.60

Step-by-step explanation:

132 x 1.30 = 171.60

if the jacket is $170 in new York it is cheaper

a. The regular rate of markup on cost is approximately 26%.

b. The rate of markdown on the demonstrator unit is approximately 20%.

c. The operating profit on the demonstrator unit is approximately $3.73.

d. The rate of markup on cost that was actually realized is approximately 0.28%.

a. To calculate the regular rate of markup on cost, we need to find the difference between the selling price and the cost, and then calculate the percentage markup based on the cost.

Let's denote the cost as C.

Selling price = Cost + Markup

$1,690 = C + (26% of C)

To find the cost:

$1,690 = C + 0.26C

$1,690 = 1.26C

C = $1,690 / 1.26

C ≈ $1,341.27

Markup on cost = Selling price - Cost

Markup on cost = $1,690 - $1,341.27

Markup on cost ≈ $348.73

Rate of markup on cost = (Markup on cost / Cost) * 100

Rate of markup on cost = ($348.73 / $1,341.27) * 100

Rate of markup on cost ≈ 26%

The regular rate of markup on cost is approximately 26%.

b. The rate of markdown on the demonstrator unit can be calculated by finding the difference between the original selling price and the clearance price, and then calculating the percentage markdown based on the original selling price.

Original selling price = $1,690

Clearance price = $1,345

Markdown = Original selling price - Clearance price

Markdown = $1,690 - $1,345

Markdown = $345

Rate of markdown on the demonstrator unit = (Markdown / Original selling price) * 100

Rate of markdown on the demonstrator unit = ($345 / $1,690) * 100

Rate of markdown on the demonstrator unit ≈ 20%

The rate of markdown on the demonstrator unit is approximately 20%.

c. Operating profit or loss on the demonstrator unit can be calculated by finding the difference between the clearance price and the cost.

Cost = $1,341.27

Clearance price = $1,345

Operating profit or loss = Clearance price - Cost

Operating profit or loss = $1,345 - $1,341.27

Operating profit or loss ≈ $3.73

The operating profit on the demonstrator unit is approximately $3.73.

d. The rate of markup on cost that was actually realized can be calculated by finding the difference between the actual selling price (clearance price) and the cost, and then calculating the percentage markup based on the cost.

Actual selling price (clearance price) = $1,345

Cost = $1,341.27

Markup on cost that was actually realized = Actual selling price - Cost

Markup on cost that was actually realized = $1,345 - $1,341.27

Markup on cost that was actually realized ≈ $3.73

Rate of markup on cost that was actually realized = (Markup on cost that was actually realized / Cost) * 100

Rate of markup on cost that was actually realized = ($3.73 / $1,341.27) * 100

Rate of markup on cost that was actually realized ≈ 0.2781% ≈ 0.28%

The rate of markup on cost that was actually realized is approximately 0.28%.

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The best linear approximation to the function f(x) = e^x near x = 0 is L(x) = x + 1.

The given function is f(x) = e^x near x = 0.

To find the best linear approximation, L(x), we use the formula:

L(x) = f(a) + f'(a)(x-a),

where a is the point near which we are approximating.

Let a = 0, so that a is near the point x = 0.

f(a) = f(0) = e^0 = 1

f'(x) = d/dx (e^x) = e^x;

so f'(a) = f'(0) = e^0 = 1

Substituting these values into the formula: L(x) = 1 + 1(x-0) = x + 1

Therefore, the best linear approximation to f(x) = e^x near x = 0 is L(x) = x + 1.

For instance, linear approximation is used to approximate the change in a physical quantity due to a small change in another quantity that affects it.

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9514 1404 393

Answer:

  p = 0

Step-by-step explanation:

The graph is of an exponential function. An exponential function always has a horizontal asymptote of 0.

  p(t) = 5×2^t

  p(t) → 0 as x → -∞

The horizontal asymptote is p = 0.

The answer is that a risk matrix/heat map has two factors namely, likelihood and Potential Impact on its x-axis and y-axis respectively.

What is a Risk map ?

A risk heat map is a tool used to present the results of a risk assessment process visually and in a meaningful way. Risk assessment is a critical step in risk management. It involves evaluating the likelihood and potential impact of identified risks.

Risk maps are a way of representing the resulting qualitative and quantitative evaluations of the probability of risk occurrence and the impact on the organisation in the event that a particular risk is experienced.

Organisations generally map risks on a heat map using a ‘residual risk’ basis that considers the extent to which risks are reduced by risk response strategies.

So, a risk matrix/heat map plots threats on a two-dimensional grid to assess qualitative risk. it has two factors as its x and y axes , Likelihood and Potential Impact respectively.

Please find the attached image.

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Answer: I don’t know if you want the area or just y but anyways, y= 9

Step-by-step explanation:

The question requires a scale factor (since both triangles have similar sides (an equal ratio is a good way to think about it) the 10cm side of the large triangle is proportionate to the same side of the smaller triangle.

In other words to get that scale factor (how much one shape is bigger than the other) we need to divide the 10 by 4 (you need to use the same side you can’t do 10/6 because they are completely different sides) 10/4 = 2.5

Now we know the larger triangle is 2.5 times bigger than the smaller triangle. This means the smaller triangle is 2.5 times smaller than the big triangle. So to find the base of the larger triangle we use a similar method we used to find the scale factor (but not divide multiply because when you want to find the bigger you multiply when you want to find scale factor/ smaller you divide) so 6* 2.5= 15 and since y is not the entire base only a part of it, we can do 15(which is the entire length of the big triangle base) - 6 = 9

Therefore y=9

In quadratic equation, The ball is lower than 15 meters at approximately 0.41 seconds and 1.94 seconds after it is thrown.

Given equation is s(t) = -4.9t² + 10t + 16.

The ball is below the height of 15m off the ground.

Therefore, we need to solve the given equation when s(t) < 15.

Therefore, -4.9t² + 10t + 16 < 15 will give the time when the ball is lower than 15m off the ground.

Simplifying the inequality we get,

-4.9t² + 10t + 1 < 0.

We know that this is a quadratic equation, therefore, we can solve for t by using the quadratic formula.

The quadratic formula is given by, t = (-b ± sqrt(b² - 4ac))/2a

Where a, b and c are constants of the quadratic equation ax² + bx + c = 0.

Substituting the values, we get, t = (-10 ± sqrt(10² - 4(-4.9)(1)))/2(-4.9)

On solving, we get, t = 0.4082s or t = 1.942s.

Therefore, the ball is lower than 15 meters at approximately 0.41 seconds and 1.94 seconds after it is thrown.

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Statistics computed for larger random samples tend to be less variable compared to statistics computed for smaller random samples.

This statement is based on the concept of the Central Limit Theorem (CLT) in statistics. According to the CLT, as the sample size increases, the distribution of the sample mean approaches a normal distribution regardless of the shape of the population distribution. This means that the variability of the sample mean decreases as the sample size increases.

The variability of a statistic is commonly measured by its standard deviation or variance. When working with larger random samples, the individual observations have less impact on the overall variability of the statistic. As more data points are included in the sample, the effects of outliers or extreme values tend to diminish, resulting in a more stable and less variable estimate.

In practical terms, this implies that estimates or conclusions based on larger random samples are generally considered more reliable and accurate. Researchers and statisticians often strive to obtain larger sample sizes to reduce the variability of their results and increase the precision of their statistical inferences.

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Answer:

x=1

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    6-4*x-(6*x-8*x+4)=0

Pull out like factors :

  2 - 2x  =   -2 • (x - 1)

Solve :    -2   =  0

Solve  :    x-1 = 0

Add  1  to both sides of the equation :

                     x = 1

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The expression can for the greatest possible volume is (15 - 2x)(22 - 2x)x

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

Dimensions = 15 by 22

When the side length x is cut out of the cardboard, the dimension of the box becomes

Dimensions = 15 - 2x by 22 - 2x by x

Multiply the dimensions to calculate the volume

Volume = (15 - 2x)(22 - 2x)x

Hence, the expression can for the greatest possible volume is (15 - 2x)(22 - 2x)x

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Answer:

5 Newtons

Step-by-step explanation:

Since the two forces are in opposite directions, the net force will be the difference between them.

15 N - 10 N = 5 N

Step-by-step explanation:

2x + 2x + 2 = 4x + 2           combine like terms

4x + 2 = 4x + 2          subtract 4x from both sides

4x - 4x + 2 = 4x - 4x + 2

2 = 2   TRUE

The perimeter of a square is given by the formula:

Where l is the side length of the square. This is because the square has 4 sides of the same length. Substitute l=10in to find the perimeter:

Therefore, the perimeter of the square is:

Answer:

3y - x = 3

Step-by-step explanation:

The slope intercept form of the equation is expression is y = mx+c

m is the slope

c is the y inercept

From the graph

c = 1

Using the coordinates (-3, 0) and (0, 1)

m = 1-0/0-(-3)

m = 1/3

Get the required equation

y = 1/3x + 1

Multiply through by 3

3y = x + 3

3y - x = 3

Hence the required equation is 3y - x = 3

The main difference between the centers of the distributions of crocodiles and alligators is that crocodiles generally have shorter lengths compared to alligators.

Crocodiles tend to have a lower average or median length compared to alligators, indicating that the center of the distribution for crocodiles is shifted towards shorter lengths. This can be observed by comparing the positions of the central points or measures of central tendency, such as the median, in the dot plots for crocodiles and alligators.

In terms of the spreads of the distributions, one possible difference could be that the spread of the crocodile distribution is smaller than the spread of the alligator distribution. This means that the lengths of crocodiles might have less variability or be more tightly clustered around the center compared to alligators. This can be inferred by examining the overall dispersion of the data points in the dot plots. If the dots for crocodiles are more closely packed together or exhibit less variability in their positioning along the length axis, it suggests a narrower spread for crocodile lengths compared to alligator lengths.

To summarize, the center difference between the distributions is that crocodiles have shorter lengths than alligators, and the spread difference is that the lengths of crocodiles may exhibit less variability or have a narrower range compared to alligators.

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Answer:

T = i or -i

Step-by-step explanation:

Consider these steps:

t^2 = -1

t = √-1 or  -√-1

t =  i or -i

Converting the force from newtons to pounds can help us determine the chances of a driver being able to stop a child. The conversion factor is 1 pound (lb) = 4.45 newtons (N).

To convert the force from newtons to pounds, we use the conversion factor of 1 lb = 4.45 N. If we have a force in newtons, we can divide it by 4.45 to obtain the equivalent force in pounds. For example, if the force is 20 N, we divide it by 4.45 to get approximately 4.49 lb.

Now, in order to assess the chances of the driver stopping the child, we need to consider various factors such as the mass and speed of the child, the friction between the driver's shoes and the ground, and the force applied by the driver. If the force applied by the driver, converted to pounds, is greater than or equal to the force exerted by the child, there is a higher chance of stopping the child.

However, it's important to note that other factors, such as the driver's reaction time and the coefficient of friction between the shoes and the ground, also play significant roles in determining the outcome. Thus, the chances of the driver stopping the child depend on a combination of these factors, making it essential to consider them comprehensively when evaluating the situation.

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Hayato spent approximately 16,383.13 Japanese Yen. Rounded to the nearest yen, the answer is (d) 16384.

To find out how much Hayato spent in Japanese Yen, we need to multiply the amount he spent in USD by the exchange rate:

$203 * 80.71 = 16,383.13

So, Hayato spent approximately 16,383.13 Japanese Yen. Rounded to the nearest yen, the answer is (d) 16384.

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Answer:

\(\frac{1}{2}\)

Step-by-step explanation:

Probability is calculated as

P = \(\frac{favourable outcome}{number of outcomes}\)

A favourable outcome is an even number , that is 2, 4, 6 , a total of 3

number of outcomes = 6 , that is 1, 2, 3, 4, 5, 6

Then

P( even number) = \(\frac{3}{6}\) = \(\frac{1}{2}\)

Answer:

5x^3- 6x^2 - 25/y + 18 / y

Step-by-step explanation:

It would be that expression over y.

Sorry if its wrong I'm still learning too:)

Answer:

The answers are

*There are four terms.

*The term -25/y is a ratio.

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Here, we are to find the value of x

Applying the side splitter theorem, we have that;

10/30 = 2/x

Thus;

10 * x = 30 * 2

10x = 60

x = 60/10

x = 6

To deduce if two line segments are parallel, we need to examine their corresponding angles. Therefore,  "none." is correct.

According to the information given, we have a missing value represented by m7. To find if any line segments are parallel, we can use the following rules:

1. If two lines are intersected by a transversal, and corresponding angles are congruent, then the lines are parallel.

2. If two lines are intersected by a transversal, and alternate interior angles are congruent, then the lines are parallel.

3. If two lines are intersected by a transversal, and alternate exterior angles are congruent, then the lines are parallel.

Let's consider each statement one by one:

Statement 1: m7 = 90 degrees. This statement represents a right angle. However, knowing that one angle is right does not provide enough information to deduce the lines' parallelism.

Statement 2: m7 = 135 degrees. This statement represents an angle greater than 90 degrees. Similarly, having this information alone is insufficient to deduce the lines' parallelism.

Statement 3: m7 = 45 degrees. This statement represents an angle less than 90 degrees. Again, having this information alone is not enough to deduce the lines' parallelism.

Given the information provided, we cannot deduce the parallelism of any line segments. Therefore,  "none." is correct.

In summary, without additional information about the relationships between angles formed by the line segments, we cannot determine whether the line segments are parallel or not.

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Answer:

10x − (x − 2) = 2x − (40 + x).

The missing number is 40.

Step-by-step explanation:

Let the missing number be a, Then:

10x - (x - 2) = 2x - (a + x)

10x - x + 2 = 2x - a + x

9x - 2x - x = -a - 2

6x = -a - 2

When x = -7:

6(-7) = - a - 2

-42 + 2 = -a

-40 = -a

a = 40.

So the equation is

10x − (x − 2) = 2x − (40 + x).

Dugan's average velocity for the entire race is 0 m/s

To determine Dugan's average speed for the entire race, we can use the formula:

Average speed = Total distance / Total time

In this case, the total distance is 50 meters (25 meters for the first leg and 25 meters for the return leg), and the total time is the sum of the times for both legs, which is:

Total time = 10.02 seconds + 10.16 seconds

a. Average speed for the entire race:

Average speed = 50 meters / (10.02 seconds + 10.16 seconds)

Average speed ≈ 50 meters / 20.18 seconds ≈ 2.47 m/s

Therefore, Dugan's average speed for the entire race is approximately 2.47 m/s.

To determine Dugan's average speed for the first 25.00 m leg of the race, we divide the distance by the time taken for that leg:

b. Average speed for the first 25.00 m leg:

Average speed = 25 meters / 10.02 seconds ≈ 2.50 m/s

Therefore, Dugan's average speed for the first 25.00 m leg of the race is approximately 2.50 m/s.

To determine Dugan's average velocity for the entire race, we need to consider the direction. Since the race is along a straight line, and Dugan returns to the starting point, the average velocity will be zero because the displacement is zero (final position - initial position = 0).

c. Average velocity for the entire race:

Average velocity = 0 m/s

Therefore, Dugan's average velocity for the entire race is 0 m/s
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The other 5 trigonometric functions evaluated at t are:

sin(t) = -sqrt(5)/3
tan(t) = -sqrt(5)/2
csc(t) = -3/sqrt(5)
sec(t) = 3/2
cot(t) = (-2sqrt(5))/5

Since cos(t) = 2/3 is positive, t must be in quadrants I or IV. But since the terminal point of t is in quadrant IV, we know that the x-coordinate of the point is positive and the y-coordinate is negative.

We can use the Pythagorean identity to find sin(t):

sin(t) = sqrt(1 - cos^2(t))
= sqrt(1 - (2/3)^2)
= sqrt(1 - 4/9)
= sqrt(5/9)

Since sin(t) is negative in quadrant IV, we have:

sin(t) = -sqrt(5/9) = -sqrt(5)/3

Now we can use the other trig functions:

tan(t) = sin(t)/cos(t) = (-sqrt(5)/3)/(2/3) = -sqrt(5)/2

csc(t) = 1/sin(t) = -3/sqrt(5)

sec(t) = 1/cos(t) = 3/2

cot(t) = 1/tan(t) = -2/sqrt(5) = (-2sqrt(5))/5

So the other 5 trigonometric functions evaluated at t are:

sin(t) = -sqrt(5)/3
tan(t) = -sqrt(5)/2
csc(t) = -3/sqrt(5)
sec(t) = 3/2
cot(t) = (-2sqrt(5))/5

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The original cost of the tablet is $70.89 in the given algebraic equation.

A mathematical claim containing two equated algebraic expressions is known as an algebraic equation. When P and Q are polynomials, an algebraic equation has the general form P = 0 or P = Q. The term "multivariate equation" refers to an algebraic equation that has more than one variable.

Univariate equations are algebraic equations that only have one variable. Equations in algebra are balanced by definition. Due to this, the right and left sides of the equation will be equal.

Let the original cost be  x

then

15/100 = 24.99.x

x =  166.6

237.49 - 166.6

= $70.89

Thus, the original cost of the tablet is $70.89 in the given algebraic equations.

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Full question?

Lucas bought a tablet that was on sale at a 15% discount on your supra case for $24.99 which is been a total of $237.49. Write an equation to find the original cost of the tablet?

Answer:

3 laps.

Step-by-step explanation:

Hi! I can see how this is tricky, but I was a bit confused by the 4 in "If she runs 4." It says in the problem that the track is a mile long... So if you run the track 3 times, 3 x 1 = 3.

Answer:

D. no solutions