A hiker in California was at an elevation of -45 feet. He increased his elevation by 12 feet each minute for 5 minutes. What was his elevation after 5 minutes?
A. -900 feet
B. -105 feet
C. -60 feet
D. 15 feet

The required area of the parallelogram and pentagon is 91 unit² and 75 unit².

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

A parallelogram in is shown in figure 1 with the dimensions height = 7 and base = 13,
Area of the parallelogram  = 13 × 7 = 91 unit²

Now,
A pentagon is shown in figure 2,
Area of the pentagon = 5 [1/2 × height × side]
                                 = 5 [1/2 × 5 × 6]

                                 = 75 suqare units.

Thus, the required area of the parallelogram and pentagon is 91 unit² and 75 unit².

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Answer:

the correct answer is 7.

Answer:

enjoyyyyy....................

The slope of the tangent line to the polar curve r=sin(5) at theta = pi/10 is -25cos(pi/10).

To find the slope of the tangent line, we need to differentiate the polar curve with respect to theta and then evaluate it at the given value of theta. So, we have r=sin(5) and we can write it in terms of x and y using the conversion formulae x=rcos(theta) and y=rsin(theta). Substituting r=sin(5), we get x=sin(5)*cos(theta) and y=sin(5)*sin(theta). Differentiating both x and y with respect to theta, we get dx/dtheta=-sin(5)*sin(theta) and dy/dtheta=sin(5)*cos(theta).

The slope of the tangent line is given by dy/dx, which is equal to dy/dtheta divided by dx/dtheta. Evaluating this expression at theta = pi/10, we get -25cos(pi/10).

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Answer:

Step-by-step explanation:

250 is 125% of 200

So,

He gained 25% in profit

Based on the information given his gain as a percentage of the  cost price is 25%.

Using this formula

Cost price percentage=Selling price-Cost price/Cost price

Where:

Selling price=$250

Cost price=$200

Let plug in the formula

Cost price percentage=$250-$200/$200

Cost price percentage=$50/200

Cost price percentage=0.25×100

Cost price percentage=25%

Inconclusion his gain as a percentage of the  cost price is 25%.

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Answer:

$25

Step-by-step explanation:

Let the original cost of the shirt be x, therefore the sale price would be the original minus the 20% of the original price x - 0.20x = $20. Solve for x: 0.8x = 20 --> x=$25

A mathematical rule that may have a value given to it is called a function.

A mathematical rule that may have a value given to it is called a function.

A mathematical function is a rule that can have a value. We will now move on to determine which function may be categorised as displayed.

The equation for this quadratic function, y = 2x, is that Ashley pays $2 every day and provides $2 to her brother.

The total payment equals twice as many days as there are in a week. This is a linear function, and its equation is y= 2x - 2x = 2\(x^{2}\)

The daily payouts begin at $2 and double with each passing day; this exponential function has the formula y = 2\(x^{2}\)

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Answer: A

Step-by-step explanation:

The Variance Inflation Factor (VIF) measures the degree of correlation or the collinearity of the explanatory variables.

VIF quantifies how much each explanatory variable is correlated with a linear combination of the other variables in a multiple regression model. This can help identify variables that are redundant, irrelevant, or harmful to the model's accuracy. The VIF is calculated for each explanatory variable by dividing the variance of the regression coefficient estimates by the variance of the regression coefficient estimates when that variable is excluded from the model.

If the VIF is greater than 1, it indicates that the variance of the regression coefficient estimate for that variable is inflated by the presence of the other variables, which reduces the model's accuracy. Therefore, a VIF greater than 1 is considered to be an indication of collinearity or multicollinearity in the explanatory variables. The VIF measures the degree of correlation or the collinearity of the explanatory variables, and it can identify variables that are redundant, irrelevant, or harmful to the model's accuracy.

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Answer:

-118

Step-by-step explanation:

(-8 ×14)-6

the answer is -118

The cutoff salary for teachers in the top 10% is approximately $38,000 + (1.28 * $4,000) = $43,120.

To find the cutoff salary for teachers in the top 10%, we need to determine the z-score corresponding to the top 10% of the distribution.

Step 1: Calculate the z-score using the formula: z = (x - μ) / σ
Where x is the cutoff salary, μ is the mean salary, and σ is the standard deviation.

Step 2: Look up the z-score in the z-table to find the corresponding percentile.

Step 3: Subtract the percentile from 1 to obtain the percentage of salaries above the cutoff.

Step 4: Multiply this percentage by the total number of salaries to find the number of salaries above the cutoff.

Step 5: Multiply the number of salaries above the cutoff by the standard deviation, and add it to the mean salary to find the cutoff salary.

In this case, the mean salary (μ) is $38,000 and the standard deviation (σ) is $4,000. We want to find the cutoff salary for teachers in the top 10%.

By using the z-score formula, we have z = (x - 38,000) / 4,000.

Using a z-table, we can find that the z-score for the top 10% is approximately 1.28.

Subtracting this value from 1 gives us the percentage of salaries above the cutoff, which is approximately 0.10.

Multiplying 0.10 by the total number of salaries gives us the number of salaries above the cutoff.

Finally, multiplying the number of salaries above the cutoff by the standard deviation and adding it to the mean salary gives us the cutoff salary.
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The probability that she selects the route of three specific capitals is 97290/1.

The probability that she selects the route of three specific capitals can be calculated by taking the total number of possible routes and dividing it by the total number of routes that involve the three specific capitals. To calculate the total number of possible routes, multiply the number of states (47) by the number of routes that could be selected from each state (2). This gives 94 total possible routes.

47 x 46 x 45 ways = 97290 ways

= 1/97290

Now, calculate the number of routes that involve the three specific capitals. Since the president is selecting three states, the total number of routes will be 3. Therefore, the probability that she selects the route of three specific capitals is 3/94, which can be simplified to 97290/1.

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Answer:

\(b= \frac{-4}{7} a - \frac{52}{7}\)

Step-by-step explanation:

1st, isolate b.

7b=-4a-52

Next, divide both sides by 7.

b=(-4a/7)-(52/7)

We can say that HK is not closed under inverses and hence is not a subgroup of G

Let G be the group of integers under addition (i.e., G = {..., -2, -1, 0, 1, 2, ...}), and let H and K be the following subgroups of G:

H = {0, ±2, ±4, ...} (the even integers)

K = {0, ±3, ±6, ...} (the multiples of 3)

Now consider the product HK, which consists of all elements of the form hk, where h is an even integer and k is a multiple of 3. Specifically:

HK = {0, ±6, ±12, ±18, ...}

Note that HK contains all the elements of H and all the elements of K, as well as additional elements that are not in either H or K. For example, 6 is in HK but not in H or K.

To show that HK is not a subgroup of G, we need to find two elements of HK whose sum is not in HK. Consider the elements 6 and 12, which are both in HK. Their sum is 18, which is also in HK (since it is a multiple of 6 and a multiple of 3). However, the difference 12 = 18 - 6 is not in HK, since it is not a multiple of either 2 or 3.

Therefore, HK is not closed under inverses and hence is not a subgroup of G

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The average speed of the car is 51 kph. The result is obtained by dividing the total distance by the total time taken.

Average speed is the overall speed of a moving object during a given amount of time. It can be expressed as

Avg speed = Total distance covered / Total time taken

The speed itself can be found by the following formula.

s = d/t

Where

A car can travel at the following speeds.

Find the average speed!

We should convert the unit of time from minutes to hour.

t₃ = 45 minutes = ¾ h

t₄ = 15 minutes = ¼ h

We count the time and distance in each travels.

t₁ = d₁/s₁ = 20/40 = ½ h

t₂ = d₂/s₂ = 25/50 = ½ h

d₃ = s₃×t₃ = 60 × ¾ = 45 km

d₄ = s₄×t₄ = 48 × ¼ = 12 km

Avg speed = (s₁ + s₂ + s₃ + s₄)/(t₁ + t₂ + t₃ + t₄)

Avg speed = (40 + 50 + 60 + 48)/(½ + ½ + ¾ + ¼)

Avg speed = 102/2

Avg speed = 51 kph

Hence, the car has the average speed of 51 kph.

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The approximate side length of the rug with an area of 100in^2 is 10 inches

The formula for calculating the area of a square is expressed as;

A = l^2

where

l is the side length of a square

Given the following parameters

A = 184 square inches

Substitute

100 = l^2

l = √100

l = 10

Hence the approximate side length of the rug with an area of 100in^2 is 10 inches

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Multiply both sides by -2 to get p > 32. The inequality sign will flip because we are multiplying both sides by a negative number.

The graph of p > 32 has an open hole at 32 and shading to the right to indicate all values greater than 32. The open hole means we don't include 32 itself as a solution.

The line graph first represents the solution to the inequality (-1/2)p < -16 option first is correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have an inequality:

(-1/2)p < -16

After removing negative signs on both sides.

(1/2)p > 16  (inequality sign changes)

p > 32

p ∈ (32, ∞)

Thus, the line graph first represents the solution to the inequality (-1/2)p < -16 option first is correct.

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The variable "middle" in a binary search algorithm represents the index or position of the element that is being compared in each iteration of the search process.

In a binary search, the algorithm repeatedly divides the search space in half by comparing the middle element with the target value. The "middle" variable keeps track of the index or position of the element that is considered as the midpoint of the current search range.

During each iteration, the algorithm compares the target value with the element at the middle position. If the target value is equal to the middle element, the search is successful, and the algorithm returns the index of the middle element. If the target value is less than the middle element, the search continues on the left half of the search range, excluding the middle element. If the target value is greater than the middle element, the search continues on the right half of the search range, again excluding the middle element.

The "middle" variable is crucial in the binary search algorithm as it helps determine the boundaries of the search range for each iteration. By updating the middle position based on the comparison results, the algorithm efficiently reduces the search space in each step, resulting in a significant improvement in the search time compared to linear search algorithms.

Thus, the "middle" variable in a binary search algorithm represents the index or position of the element that serves as the midpoint of the current search range, allowing for efficient and systematic exploration of the search space.

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Answer:

she washes 5 cars per hour

Answer:

Sue washes 5 cars an hour

Step-by-step explanation:

25/5 = 5 cars an hour

Answer:

4w = 40

Step-by-step explanation:

Using the addition property of equality to add 8 on both sides gives us the answer to what 4w equals.

\(4w - 8 + 8 = 32 + 8\\4w=40\)

The probability mass function of the discrete random variable x is:

p(x = -2) = 1/3

p(x = -1) = 1/6

p(x = 0) = 1/6

p(x = 1) = 1/6

p(x = 2) = 1/3

To determine the value of a, we first need to confirm that the probability mass function satisfies the two conditions of a valid probability mass function:

For this probability mass function, the possible values of x are -2, -1, 0, 1, and 2. Therefore, we can calculate the sum of probabilities as:

p ( x = -2 ) + p ( x = -1 ) + p ( x = 0) + p (x = 1) + p (x = 2)

= \(|(-2)| \times a + |(-1)| \times a + |0| \times a + |1| \times a + |2| \times a\)

= 2a + a + 0 + a + 2a

= 6a

To satisfy the first condition of a valid probability mass function, the sum of probabilities must be equal to 1. Therefore, we can set up the equation:

6a = 1

a = 1/6

Thus, the value of a that satisfies the conditions of a valid probability mass function is a = 1/6. Therefore, the probability mass function of the discrete random variable x is:

p(x = -2) = 1/3

p(x = -1) = 1/6

p(x = 0) = 1/6

p(x = 1) = 1/6

p(x = 2) = 1/3

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Answer:

a = 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Solve for  a  by simplifying both sides of the equation, then isolating the variable.

Richard's net pay for the week, considering Social Security, Medicare, and FIT deductions, can be calculated by subtracting the total deductions from his gross earnings.

First, let's determine the amount deducted for Social Security. The Social Security rate is 6.2%, and the maximum earnings subject to this deduction are $118,500. Since Richard is $1,000 below the maximum level, the amount subject to Social Security deduction is $1,000. Therefore, the Social Security deduction is 6.2% of $1,000.

Next, we calculate the Medicare deduction. The Medicare rate is 1.45%, and it is applied to the entire earnings of $1,700.

To calculate the FIT deduction, we need additional information about Richard's taxable income, tax brackets, and exemptions. Without this information, we cannot provide an accurate calculation for the FIT deduction.

Finally, we subtract the total deductions (Social Security, Medicare, and FIT) from Richard's gross earnings of $1,700 to obtain his net pay for the week.

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By factoring out this common factor, we obtain the simplified expression 0.006(25c - 12).

We can start by determining the common factor between the two terms in order to factor the phrase 0.15c - 0.072. The common factor in this situation is 0.006, which we may factor out to obtain:

0.15c - 0.072 = 0.006(25c - 12) (25c - 12)

As a result, factoring the expression 0.15c - 0.072 gives 0.006 (25c - 12).

It is possible to utilise this factored form to further simplify calculations or to resolve equations that contain this statement. If we needed to find c in the equation 0.15c - 0.072 = 0, for instance, we could use the factored form to obtain:

0.006(25c - 12) = 0

25c - 12 = 0

c = 12/25

In conclusion, factoring the expression 0.15c - 0.072 involves finding the common factor between the two terms, which is 0.006. By factoring out this common factor, we obtain the simplified expression 0.006(25c - 12).

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Answer:

D. 16 years old

Step-by-step explanation:

Step 1: Let T be Tien's age and J as Jordan's age (today),

\(T=\frac{1}{4}J\)

Step 2: Let T be Tien's age and J as Jordan's age (in 2 years),

\(T+2=\frac{1}{3} (J+2)\)

\(T=\frac{1}{3}(J+2)-2\)

Step 3: As their age differences will always be similar we can have the two equations above equal to find Jordan's age,

\(\frac{1}{4} J=\frac{1}{3}(J+2)-2\\\frac{1}{4}J-\frac{1}{3}J=\frac{2}{3} -2 \\-\frac{1}{12}J= -\frac{4}{3} \\\\J=16\)

Address is a qualitative variable, which describes the location of a person or object.

It typically refers to the physical address of a place (e.g. street, town, city, state, country), but can also include virtual addresses such as an email address.

Qualitative variables like address cannot be measured numerically, as they are not expressed as numbers, but instead as words or symbols.

Qualitative data can be used to describe the characteristics of an individual or object, and can be used in research to identify patterns or trends in a population.

For example, address data can be used to identify areas of high population density or to analyze the geographic spread of a particular product. Qualitative data is also important for understanding the social and cultural context of a person or object.

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Answer:

1st, 2nd, 3rd, 4th, and 5th position.

Step-by-step explanation:

Answer:

A = a/2^2 + b/2^2          where b = 26 - a     (a/2 and b/2 sides of square)

A = a^2 / 4 + 1/4 (a^2 - 52 a + 676)

4 * A= 2 a^2 - 52 a + 676

4 dA / da =4 a - 52 = 0

Area will be minimized when   a = 13 and b = 13

Check:  

 n A

13 13 0 84.5

12 14 1 85

11 15 2 86.5

10 16 3 89

9 17 4 92.5

8 18 5 97

7 19 6 102.5

6 20 7 109

5 21 8 116.5

4 22 9 125

3 23 10 134.5

2 24 11 145

1 25 12 156.5

0 26 13 169

Answer:

Combined like terms- 9xy3−13y4+x3y+3x4−8x2y2

Simplified- 3x4+x3y−8x2y2+9xy3−13y4

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

lol