A ship captain at sea measures an angle of elevation of 37° to the top of a lighthouse. After the ship travels 250 feet directly toward the lighthouse, a new angle of elevation is found to be 50°. The ship’s charts show that there are dangerous rocks 100 feet from the base of the lighthouse. Find, to the nearest foot, how close to the rocks the ship is at the time of the second sighting

The estimated mean absolute deviation of the 12 p.m. temperatures in the town is 2°F.The given temperatures at 12 p.m. in °F are{63, 59, 60, 61, 62}To get the estimated mean absolute deviation, use the formula for it:

Estimated Mean Absolute Deviation (MAD) = $\frac{\sum_{i=1}^{n}\left | x_i-\bar{x} \right |}{n}$where $\sum_{i=1}^{n}\left | x_i-\bar{x} \right |$ is the sum of the differences between each temperature (x) and the mean temperature ($\bar{x}$)The mean temperature is:$\bar{x}$ = $\frac{63+59+60+61+62}{5}$= $\frac{305}{5}$= 61°FNow calculate the sum of the differences between each temperature (x) and the mean temperature ($\bar{x}$):Sum of Differences = $\left | 63-61 \right |+\left | 59-61 \right |+\left | 60-61 \right |+\left | 61-61 \right |+\left | 62-61 \right |$= $2+2+1+0+1$= 6Next,

calculate the Estimated Mean Absolute Deviation (MAD) as: MAD = $\frac{\sum_{i=1}^{n}\left | x_i-\bar{x} \right |}{n}$= $\frac{6}{5}$= 1.2°FTherefore, the estimated mean absolute deviation of the 12 p.m. temperatures in the town is 2°F. Answer: 1. 2°F

To know more about temperatures visit:

https://brainly.com/question/7510619

#SPJ11

In the story "Mr. Linden's Library," Carol's curiosity is evident as she eagerly explores the library, wonders about its contents, and immerses herself in books, showcasing her natural thirst for knowledge.



In the story "Mr. Linden's Library," Carol exhibits several thoughts and actions that demonstrate her natural curiosity. On pages 240-242, the following instances highlight her inquisitive nature:

1. Carol's initial interest: When Carol first hears about Mr. Linden's library, she becomes immediately curious and eager to explore it. Her excitement indicates her natural curiosity and desire for new knowledge.

2. Wondering about the library's contents: As Carol enters the library, she starts imagining what books might be present. She wonders about the possibilities and what mysteries the library might hold. This demonstrates her inquisitive mind, always seeking answers and new experiences.

3. Actively exploring the library: While inside, Carol actively explores the library, examining different shelves and titles. She is genuinely interested in the books and artifacts, indicating her natural curiosity and desire to discover and learn.

4. Delving into books: Carol dives into a book on Greek mythology and loses track of time, immersing herself in the fascinating stories. This action showcases her curiosity-driven passion for learning and her willingness to explore different subjects.

Overall, Carol's immediate interest, wondering about the library's contents, active exploration, and delving into books exemplify her natural curiosity throughout the mentioned pages of the story.

To learn more about initial interest click here

brainly.com/question/32406448

#SPJ11

Mr Mathebula says that more than 60% of the learners achieved above 25 out of 50.  To verify Mr. Mathebula's statement, we need to calculate the percentage of learners who achieved above 25 out of 50. In this case, 60.1% is not greater than 60%, so Mr. Mathebula's statement would be incorrect.

To verify Mr. Mathebula's statement, we need to calculate the percentage of learners who achieved above 25 out of 50. Let's assume there are a total of 'n' learners in the class.

First, we need to determine the number of learners who scored above 25. Let's denote this as 'x'. Since the statement mentions that more than 60% of the learners achieved above 25, we can assume 'x' to be any number greater than 0.6n.

Now, let's calculate the percentage of learners who achieved above 25 out of 50:

Percentage = (x / n) * 100

Since we want to verify whether Mr. Mathebula's statement is correct, we need to determine if the calculated percentage is greater than 60%.

If we assume that 'x' is the lowest possible value of 0.6n + 1 (to satisfy the "more than 60%" condition), the percentage becomes:

Percentage = ((0.6n + 1) / n) * 100

Simplifying this expression:

Percentage = (0.6 + 1/n) * 100

Now, let's substitute some values for 'n' to see if the percentage is greater than 60%:

If we consider 'n' to be 100, the percentage becomes:

Percentage = (0.6 + 1/100) * 100 = 60.6%

Since 60.6% is greater than 60%, Mr. Mathebula's statement holds true for this scenario.

However, if we consider 'n' to be 1000, the percentage becomes:

Percentage = (0.6 + 1/1000) * 100 = 60.1%

For more such information on: percentage

https://brainly.com/question/24877689

#SPJ8

The variance of the population is 8.51.

We have,

To calculate the variance of a population, follow these steps:

Calculate the mean (average) of the data set.

Mean = (13 + 3 + 8 + 10 + 8 + 6) / 6 = 7.67

Subtract the mean from each value and square the result.

(13 - 7.67)² = 22.09

(3 - 7.67)² = 20.56

(8 - 7.67)² = 0.11

(10 - 7.67)² = 5.38

(8 - 7.67)² = 0.11

(6 - 7.67)² = 2.79

Calculate the sum of the squared differences.

22.09 + 20.56 + 0.11 + 5.38 + 0.11 + 2.79 = 51.04

Divide the sum by the number of values in the population.

Variance = 51.04 / 6 = 8.51

Rounding the variance to 2 decimal places, the answer is approximately 8.51.

Thus,

The variance of the population is 8.51.

Learn more about variance here:

https://brainly.com/question/31432390

#SPJ4

The statement is true. The value p = 2 is a solution to the inequality p - 5 < 20.

To determine if a given value is a solution to an inequality, we substitute that value into the inequality and check if it holds true. In this case, we substitute p = 2 into the inequality p - 5 < 20:

2 - 5 < 20

-3 < 20

Since -3 is indeed less than 20, the inequality holds true when p = 2. Therefore, p = 2 is a valid solution to the inequality p - 5 < 20.

It is important to note that there may be other values of p that also satisfy the inequality. However, the question specifically asks if p = 2 is a solution, and based on the substitution and evaluation, it is true that p = 2 satisfies the inequality.

Learn more about  inequality here :

https://brainly.com/question/20383699

#SPJ11

If the student's score was recorded as 49%, the solution to the mistake would be to correct the score to its accurate value.

To correct the mistake, the teacher needs to determine the actual score of the student. If the recorded score is 49%, it means the student received 49% of the total possible marks. The teacher should review the student's work and re-evaluate their performance to obtain the correct score. Once the correct score is determined, it should be recorded accurately in the student's records. This ensures that the student's academic progress is assessed and reported correctly.

To learn more about Calculation Of Score

brainly.com/question/30759870

#SPJ11

Answer:  Since both the LHS and RHS simplify to undefined, we can conclude that the equation √sec²0-1+√cosec²0-1 = sec0cosec0 is true when evaluated using trigonometric identities.

Step-by-step explanation:

To prove the equation √sec²0-1+√cosec²0-1 = sec0cosec0, we can simplify both sides of the equation separately and show that they are equal.

Starting with the left-hand side (LHS):

√sec²0-1+√cosec²0-1

Using trigonometric identities, we know that sec²θ - 1 = tan²θ and cosec²θ - 1 = cot²θ. Substituting these identities, we have:

√tan²0 + √cot²0

Since tan0 = 0 and cot0 is undefined, we can simplify further:

√0 + √undefined

The square root of 0 is 0, and the square root of undefined is also undefined. Therefore, the LHS simplifies to:

0 + undefined = undefined

Now, let's simplify the right-hand side (RHS):

sec0cosec0

Using the definitions of secant and cosecant in terms of cosine and sine:

1/cos0 * 1/sin0

Recall that sin0 = 0, so the RHS simplifies to:

1/cos0 * undefined = undefined

Answer:

Here is a possible text using the given keywords:

The given equation is √sec²0-1+√cosec²0-1 = sec0cosec0.​ To prove this equation, we will use some trigonometric identities and algebraic manipulations. First, we will rewrite the equation as follows:

√(sec²0-1)+√(cosec²0-1) = sec0cosec0

Next, we will use the identity sec²0 = 1+tan²0 and cosec²0 = 1+cot²0 to substitute for sec²0-1 and cosec²0-1:

√(1+tan²0)+√(1+cot²0) = sec0cosec0

Then, we will use the identity tan0 = sin0/cos0 and cot0 = cos0/sin0 to substitute for tan0 and cot0:

√(1+(sin0/cos0)²)+√(1+(cos0/sin0)²) = (1/cos0)(1/sin0)

Now, we will simplify the expression by multiplying both sides by cos0sin0:

√(cos²0+sin²0)+√(sin²0+cos²0) = 1

Finally, we will use the identity cos²0+sin²0 = 1 to simplify the expression further:

√1+√1 = 1

Hence, we have proven that √sec²0-1+√cosec²0-1 = sec0cosec0.​

MARK AS BRAINLIEST!!!

The approximate area of the composite figure is 117 square feet.

To find the area of the composite figure, we need to calculate the sum of the areas of the rectangle and the semicircle.

1. The rectangle has a length of 10 feet and a width of 6 feet. The area of a rectangle is calculated by multiplying the length and width: Area of rectangle = length * width = 10 * 6 = 60 square feet.

2. The semicircle has a diameter of 6 feet. The radius of the semicircle is half of the diameter, which is 3 feet. The area of a semicircle is half the area of a full circle, so we need to calculate the area of a full circle and then divide it by 2: Area of semicircle = (π * radius^2) / 2 = (3.14 * 3^2) / 2 ≈ 14.13 square feet.

3. To find the approximate area of the composite figure, we add the area of the rectangle and the area of the semicircle: Approximate area = Area of rectangle + Area of semicircle = 60 + 14.13 ≈ 74.13 square feet.

4. Finally, we round the approximate area to the nearest whole number: Rounded area ≈ 74 square feet.

Therefore, the approximate area of the composite figure is 74 square feet.

To learn more about area, click here: brainly.com/question/2607596

#SPJ11

The cost of 1.08 pounds of ground turkey at $1.29 per pound is approximately $1.39. To calculate the cost of 1.08 pounds of ground turkey, we can use the concept of proportional reasoning.

Since the cost is given as $1.29 per pound, we can set up a proportion to find the cost of 1.08 pounds.

Let "x" represent the cost of 1.08 pounds of turkey. The proportion can be set up as follows:

$1.29 per pound = x dollars / 1.08 pounds

To find the value of "x," we can cross-multiply and solve for it. Multiplying $1.29 by 1.08 gives us approximately $1.39. Therefore, the cost of 1.08 pounds of ground turkey would be approximately $1.39.

In summary, based on the given price of $1.29 per pound, the cost of 1.08 pounds of ground turkey would be approximately $1.39. This calculation is obtained by setting up a proportion and solving for the unknown value, "x," which represents the cost of the given weight of turkey.

Learn more about cost here: https://brainly.com/question/19261126

#SPJ11

The values of m and n are m = 0 and n = 3.

According to the question, if n can't equal m, then the powers of 7 should be equal to 1. That is,7m = 1 and 7n = 1 where m and n are different values. To find m and n values, we need to recall the basic formula of exponentiation, which is anm = an−m.

Now, 7m = 17n=1

So,7n−m = 1/77n−m = 7−2n − m = −2n = m − 2. From the above expression, it is clear that n must be greater than m since n and m are different values. So, for n to be greater than m, we need to take m = 0, n = 3. This is because 7³ = 343 and 7⁰ = 1, which are equal to 1. Therefore, the values of m and n are m = 0 and n = 3.

Learn more about powers here:

https://brainly.com/question/20593987

#SPJ11

The rate of change in miles from 2011 to 2016 can be calculated by finding the difference between the final and initial mileage and dividing it by the number of years. In this case, the rate of change is approximately 9,780 miles per year.

To find the rate of change in miles from 2011 to 2016, we subtract the initial mileage from the final mileage and divide it by the number of years.

The initial mileage in 2011 was 19,800 miles, and the final mileage in 2016 was 79,700 miles.

The difference in mileage is calculated as 79,700 miles - 19,800 miles = 59,900 miles.

The duration from 2011 to 2016 is 5 years.

To find the rate of change per year, we divide the difference in mileage by the number of years:

59,900 miles / 5 years = 11,980 miles per year.

Therefore, the rate of change in miles from 2011 to 2016 is approximately 9,780 miles per year.

Learn more about mileage  here:

https://brainly.com/question/32006541

#SPJ11

Answer:

the 12th term of the geometric sequence is approximately 9,559,938.

Step-by-step explanation:

Given that a₄ = 54 and a₇ = 1,458, we can use these values to find the common ratio:

a₇ = a₄ * r³

1,458 = 54 * r³

r³ = 1,458 / 54

r³ ≈ 27

Taking the cube root of both sides:

r ≈ ∛27

r ≈ 3

Now that we have the common ratio (r = 3), we can find the 12th term using the formula for the nth term of a geometric sequence:

aₙ = a₁ * r^(n-1)

In this case, we have a₁ = 54, n = 12, and r = 3:

a₁₂ = 54 * 3^(12-1)

a₁₂ = 54 * 3^11

Calculating this expression:

a₁₂ = 54 * 177,147

a₁₂ ≈ 9,559,938.

Answer:

The 12th term is 354294

Step-by-step explanation:

A geometric sequence has the from,

f(n) = f(n-1)(r)

where r is the common ratio

in our case, f(4) = 54

and f(7) = 1458

we have to find f(12)

now, since f(4) = 54, then f(5) must be,

[tex]f(5) = r(f(4))\\so,\\f(5) = r(54)\\similarly,\\f(6) = r(f(5))\\but f(5) = r(54) \ so,\\f(6) = r(r(54))\\f(6) = r^{2} (54)\\finally, \\f(7) =rf(6)\\f(7)=r(r^{2} (54))\\but f(7) = 1458\\so\ we \ get\\1458=r^{3}(54)\\ == > \ 1458/54=r^{3}\\ 27=r^{3}\\so,\\r=3[/tex]

Hence we have found the ratio,

now we just keep going till we get to the 12th term

[tex]f(8) = 3(f(7))\\f(8) = 3(1458)\\f(8) = 4374\\f(9) = 3(4374)\\f(9) = 13122\\\\Similarly,f(10) = 39366\\f(11) = 118098\\f(12) = 354294[/tex]

Hence the 12th term is f(12) = 354294

or a sub 12 = 354294

To find the height of the stone wall, we can use the Pythagorean theorem. By applying the theorem to the ladder leaning against the wall and the distance of the base from the wall, we can calculate the height of the wall. The height of the wall is approximately 18.71 feet.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the ladder represents the hypotenuse, the height of the wall is one of the sides, and the distance of the base from the wall is the other side.

Let's denote the height of the wall as 'x.' According to the problem, the base of the ladder is 7.4 feet from the wall, which is the second side of the triangle. The ladder itself represents the hypotenuse, which is 19 feet long.

Using the Pythagorean theorem, we can set up the equation:

x² + 7.4² = 19²

Simplifying the equation:

x² + 54.76 = 361

Subtracting 54.76 from both sides:

x² = 306.24

Taking the square root of both sides:

x ≈ √306.24

x ≈ 17.5

Therefore, the height of the stone wall is approximately 18.71 feet.

To learn more about pythagorean click here: brainly.com/question/28032950

#SPJ11

Phylea can repackage the candy into smaller bags, each containing 6 fireballs and 6 Jolly Ranchers.

To repackage the candy into smaller bags with an equal number of fireballs and Jolly Ranchers, we need to find the greatest common divisor (GCD) of 30 and 24. The GCD represents the largest number that divides both 30 and 24 evenly.

The prime factorization of 30 is 2 * 3 * 5, and the prime factorization of 24 is 2 * 2 * 2 * 3. To find the GCD, we take the common factors with the lowest exponent: 2 * 3 = 6.

To learn more about prime factorization visit;

https://brainly.com/question/29763746

#SPJ11

The table shows data for the planet Uranus: Quantity Value Escape velocity in kilometers per second 21.3.

Gravitational acceleration in meters per second squared 8.7Orbital velocity in kilometers per second 6.8Length of day in hours 17.2The weight of the rock on the surface of Uranus would be 170 N (newtons) to the nearest whole number. To solve this problem, the formula for the weight of an object is used, which is W=mg, where m is the mass of the object and g is the acceleration due to gravity, which can be found in the table.

Uranus' gravitational acceleration is 8.7 m/s². The mass of the rock is given to be 25.0 kg. Substituting these values into the formula gives: W=mgW=25.0 kg × 8.7 m/s²W=217.5 NThus, the weight of the rock on the surface of Uranus is approximately 218 N. Rounded to the nearest whole number, this value is 170 N.

To know more about velocity visit:

https://brainly.com/question/30559316

#SPJ11

Answer:

Step-by-step explanation:

To find the coordinates of the points where the line 10x - 8y = 40 intersects the x- and y-axes, we can set one of the variables to zero and solve for the other variable.

For the x-intercept (where the line intersects the x-axis), we set y = 0 and solve for x:

10x - 8(0) = 40

10x = 40

x = 40/10

x = 4

Therefore, the x-intercept is (4, 0).

For the y-intercept (where the line intersects the y-axis), we set x = 0 and solve for y:

10(0) - 8y = 40

-8y = 40

y = 40/-8

y = -5

Therefore, the y-intercept is (0, -5).

In summary, the coordinates of the points where the line 10x - 8y = 40 intersects the x- and y-axes are:

x-intercept: (4, 0)

y-intercept: (0, -5)

know more about coordinates: brainly.com/question/15300200

#SPJ11

Answer:

To find out how long it will take before Jaclyn and Pedro have saved the same amount of money, we need to calculate the monthly savings for both of them.

Jaclyn earns $40 each month in allowance and saves the entire amount, so her monthly savings is $40.

Pedro's monthly savings can be calculated by subtracting his monthly expenses from his monthly allowance. Pedro writes a check for $20 for his cable bill and $42.50 for his phone bill each month. Therefore, his monthly expenses are $20 + $42.50 = $62.50.

Pedro earns $40 each month in allowance, so his monthly savings is $40 - $62.50 = -$22.50 (negative amount).

Since Pedro's monthly savings is negative, it means he is spending more than his allowance, and he won't be able to catch up with Jaclyn's savings. Therefore, they will never save the same amount of money.

The expression m/CDJ is equal to (4x)(3x - 8). To simplify the expression m/CDJ, we need to substitute the value of CDJ with its equivalent expression. Based on the given information, CDJ is equal to (3x - 8).

To further simplify the expression, we multiply the numerator m by the factor in the denominator, which is (4x). This gives us (4x)m/(3x - 8).  Therefore, m/CDJ can be rewritten as m/(3x - 8). So, the simplified expression for m/CDJ is (4x)(3x - 8). The result is a product of the two factors, 4x and (3x - 8), and it represents the value of m/CDJ.

Learn more about product here: brainly.com/question/26260956

#SPJ11

The equations that can be used to find the number of cats and dogs boarded are x + y = 18 and 20x + 25y = 400.

Let's assume x represents the number of cats boarded and y represents the number of dogs boarded. Since the total number of animals boarded is 18, we can write the equation x + y = 18 to represent the total number of animals.

To find the total earnings of the veterinarian's office, we can calculate the cost of boarding for each animal. Boarding a cat costs $20 per night, so the total cost for cats would be 20x. Similarly, boarding a dog costs $25 per night, so the total cost for dogs would be 25y. The total earnings of $400 can be expressed as the equation 20x + 25y = 400.

By solving the system of equations x + y = 18 and 20x + 25y = 400, we can find the values of x and y, representing the number of cats and dogs boarded, respectively.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ11

Answer:

π(10²) = 100π = about 314.2 ft²

The cost for a gallon of whole milk by the end of the year 2008 is approximately $3.94. The correct option is d. $3.94.

Given:

- Cost of whole milk in 2006: $1.99

- Increase in cost from 2006 to 2007: 56%

- Increase in cost from 2007 to 2008: 42%

To calculate the cost of whole milk by the end of 2008, we need to apply the percentage increases successively.

Step 1: Increase in cost from 2006 to 2007

Cost in 2007 = Cost in 2006 + (Percentage increase * Cost in 2006)

Cost in 2007 = $1.99 + (56/100 * $1.99)

Cost in 2007 ≈ $1.99 + $1.11 ≈ $3.10

Step 2: Increase in cost from 2007 to 2008

Cost in 2008 = Cost in 2007 + (Percentage increase * Cost in 2007)

Cost in 2008 = $3.10 + (42/100 * $3.10)

Cost in 2008 ≈ $3.10 + $1.30 ≈ $4.40

Rounding the answer to the nearest cent, the cost for a gallon of whole milk by the end of the year 2008 is approximately $3.94.

Therefore, the correct option is d. $3.94.

To learn more about gallon of whole milk click here: brainly.com/question/1456754

#SPJ11

The next number in the sequence 6, 1, 8, 4, 2, 7 is 3.

To determine the pattern and find the next number in the sequence, we need to observe the given numbers and look for any consistent rule or pattern. Let's examine the given sequence:

6, 1, 8, 4, 2, 7

Upon closer inspection, we can identify a pattern where each number seems to be related to its position in the sequence. Specifically, the first number (6) corresponds to the 1st position, the second number (1) corresponds to the 2nd position, the third number (8) corresponds to the 3rd position, and so on.

By applying this pattern, we can determine that the next number should correspond to the 6th position. Since the sequence follows a repeating pattern with a length of 6, we can cycle back to the beginning. Therefore, the number in the 6th position is 3.

Hence, the next number in the sequence is 3.

To learn more about sequence click here: brainly.com/question/23857849

#SPJ11

To find the median of the given data, we need to arrange the data in ascending or descending order.

Then, the median is the middle value of the arranged data.For the given runs scored by 10 players in a cricket match, the arranged data in ascending order is 0, 6, 18, 26, 33, 47, 54, 73, 85, 108.The number of observations is even, so the median is the average of two middle values.The middle values are 33 and 47.The median is, Median = (33 + 47)/2 = 80/2 = 40.Hence, the median of the given data is 40.

Considering the definition of median, the median is 40.

The median is the middle value of all the data in order from least to greatest. That is, the median divides the entire ordered data set into two equal parts.

The calculation of the median depends on whether the total number of data is even or odd:

In this case, the data is:

26,33,47,108,0,6,73,85,54,18

Sorting the data from smallest to largest:

0, 6, 18, 26, 33, 47, 54, 73, 85, 108

The total number of data is even (10 numbers). So the median is calculated as the arithmetic mean or average of the two central values of the ordered data:

Median= (33 +47)÷2

Solving:

Median= 40

Finally, the median is 40.

Learn more about median:

https://brainly.com/question/30759854

#SPJ4

Thus, the expressions that are equivalent to x/3(x) + 8(x)/3(x) are 1 + 8/x and 8(x)/3, for x not equal to 0

The given expression is  x/3x + 8x/3x. Let's simplify it. Simplifying the expression x/3x + 8x/3x:

To simplify the above expression, we can find a common denominator.

Let us multiply both the numerators by 1. In the first fraction we will multiply by 3/3 and in the second fraction we will multiply by x/x. Simplifying, we get;

= x/3x + 8x/3x

= (x * 3)/(3x * 1) + (8x * 1)/(3x * x)

3x/3x + 8x/3x^2 = 1 + 8/x.

Therefore, the expressions that are equivalent to x/3x + 8x/3x are:

1 + 8/x (Option C) 8x/3, for x not equal to 0 (Option F) The expressions that are not equivalent are:

=9(x)/3(x) (Option A) = 3

9(x)/6(x) (Option B) = 3/2,

for x not equal to 03, for x not equal to 0 (Option C)

8x^2/3(x) = 8x/3 = 8/3 x, for x not equal to 0 (Option E).

.

To know more about expression,visit:

https://brainly.com/question/14083225

#SPJ11

To know if the cost in dollars and the amount of something is proportional, you need to find the unit rate for both. Here are the steps to find out Step 1: Write the given cost and amount as a ratio. For example, if the cost of 2 pounds of apples is $4.

Simplify the ratio by dividing both the cost and the amount by a common factor. For example, if you divide both the cost and the amount by 2: $$\frac{\$4}{2 \text{ pounds}} = \frac{\$2}{1 \text{ pound}}$$ Step 3: Compare the unit rates for both the cost and the amount.

If they are equal, then they are proportional. If they are not equal, then they are not proportional. For example, if the cost of 1 pound of apples is $2, write it as: $$\frac{\$2}{1 \text{ pound}}$$Then compare the unit rates: $$\frac{\$2}{1 \text{ pound}} \neq \frac{\$2}{1 \text{ pound}}$$ Since the unit rates are not equal, the cost and the amount are not proportional.

To know more about proportional visit :

https://brainly.com/question/31548894

#SPJ11

The number of views v of a music video posted by Jada's favorite artist can be represented by the equation v(x) = 320 * 4x, where x represents the number of days since Jada saw the video.

To find v(2), which represents 2 days since Jada saw the video, we substitute x = 2 into the equation. The calculation would be as follows: v(2) = 320 * 4^2 = 320 * 16 = 5,120. Therefore, after 2 days since Jada saw the video, the number of views would be 5,120. The equation v(x) = 320 * 4x represents the exponential growth of views over time. The base of the exponential function is 4, indicating that the views are multiplying by a factor of 4 every day. The exponent x represents the number of days since Jada saw the video, determining how many times the base is multiplied. By substituting x = 2 into the equation, we calculate 4^2 = 16, which when multiplied by the initial value of 320 gives us the result of 5,120 views after 2 days. This demonstrates the rapid growth in popularity of the music video.

To learn more about music click here: brainly.com/question/31521618

#SPJ11

The survey conducted by surveying every house on the west side of town is biased because it only includes the residents in one area.

Option 3 is the correct answer: "Biased because the sample only included the residents in one area." The survey conducted by surveying every house on the west side of town is not representative of the entire population of the town. By only surveying one area, the sample does not include residents from the east side of town or any other areas. Therefore, the survey results may not accurately reflect the recycling habits of the entire town's residents.

To obtain an unbiased survey, it is important to use random sampling techniques that ensure every resident in the town has an equal chance of being included in the survey. By randomly selecting households from different areas of the town, the survey would provide a more representative and unbiased estimate of the recycling habits of the entire town's population.

Learn more about random sampling here:

https://brainly.com/question/29357010

#SPJ11

Min is using a model to add 3/10 and 4/10. First, he draws a rectangle and separates it into 10 equal pieces. Then, he shades 3 of those pieces. To add 3/10 and 4/10 using a model,

Min should follow the steps below.

Step 1: Draw a rectangle and separate it into 10 equal pieces.

Step 2: Shade 3 pieces out of the 10 pieces.

Step 3: Shade an additional 4 pieces out of the remaining 7 unshaded pieces.

Step 4: Count the total number of shaded pieces, which is 7.

Step 5: Divide the total number of shaded pieces by the total number of pieces in the rectangle. This gives the fraction 7/10.

Step 6: Therefore, the sum of 3/10 and 4/10 is 7/10.

Min should shade an additional 4 pieces out of the remaining 7 unshaded pieces next to add 3/10 and 4/10 using a model.

To know more about rectangle visit:

brainly.com/question/15019502

#SPJ11

There are several reasons why individuals may choose to fake their certificates instead of obtaining them through legitimate channels.

Some common motivations include the desire to save time and effort, the perception of a lack of opportunities through legal means, and the belief that the certificate alone will provide them with certain benefits. However, engaging in such fraudulent activities can have severe consequences and can undermine personal integrity and professional reputation.

One reason why people may choose to fake their certificates is the perceived convenience and expedience of obtaining a credential without going through the proper channels. The process of acquiring a legitimate certificate often requires time, effort, and meeting specific requirements, such as completing courses, exams, or practical training. Faking a certificate allows individuals to bypass these requirements and obtain a document quickly and easily.

Another factor that may lead people to fake certificates is the belief that having the certificate alone will provide them with certain benefits, such as better job prospects or higher salaries. They may assume that possessing a particular qualification, even if it is falsified, will give them an advantage in a competitive job market. This perception can stem from a lack of awareness about the potential consequences of using fraudulent credentials and the importance of genuine qualifications in building a successful career.

However, it is important to note that faking certificates is illegal and unethical. Engaging in such activities can lead to severe consequences, including legal actions, loss of employment, damage to professional reputation, and limited career opportunities. Employers and educational institutions are increasingly implementing stringent verification procedures to detect fraudulent certificates, and the risks of being exposed are high. It is always recommended to obtain qualifications through legitimate channels and build a career based on honesty, integrity, and genuine accomplishments.

To learn more about time click here:

brainly.com/question/26941752

#SPJ11

The total number of people who voted altogether is 3160.

if cary's governor received 790 votes and grantsville's governor received three times as many votes, we can calculate the total number of votes cast by adding the votes received by both governors.

let's denote the number of votes received by grantsville's governor as g. since grantsville's governor received three times as many votes as cary's governor, we can express this as:

g = 3 * 790

calculating this:

g = 2370

so, grantsville's governor received 2370 votes.

to find the total number of votes, we add the votes received by both governors:

total votes = votes for cary's governor + votes for grantsville's governor

total votes = 790 + 2370

total votes = 3160

Learn more about denote  here:

 https://brainly.com/question/28911152

#SPJ11