a gardener measures the tallest of his prize-winning sunflowers and finds tht the height is 65 in. the sunflower ahs grown 12.1 inches since the last time the gardener measured it. how tall was the sunflower when it was last measured?

The key variables in the Bell’s situation is the location of the nearest fast food restaurant, the cost of each plan, the number of hours that Nikolai works each week and the health of the Bell family. So the option 1, 2, 3 and 4 are the key variables.

A type of insurance called health insurance pays for medical costs incurred as a result of disease. These costs might be connected to hospitalization charges, medication costs, or professional fees.

Health insurance comes in two different categories:

1. Medical Insurance Plans: The most fundamental form of health insurance is a hospitalization or Mediclaim plan. When you are checked into a hospital, they pay for your medical care. By submitting the original bills, the compensation is based on the actual costs incurred at the hospital. Up to a specific threshold, the majority of these policies offer full family coverage.

2. Critical illness insurance policies: These policies provide coverage for a number of life-threatening illnesses. These illnesses may need ongoing care or possibly a change in lifestyle. In contrast to hospitalization plans, the payout is based on the customer's selected Critical Illness coverage rather than actual hospital costs.

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Nikola Bell was recently hired at a new company, The Bells need to choose between two different health plans for their family's primary insurance: Option 1: the Deluxe Plan or Option 2: the Basic Plan.

Identify the key variables in the Bell’s situation. (Select all that apply)

1. The location of the nearest fast food restaurant.

2. The cost of each plan.

3. The number of hours that Nikolai works each week.

4. The health of the Bell family.

5. The benefits paid by each plan.

6. The Bell’s monthly income.

Answer:

Hey there!

SL=KR

We can't prove that the triangles are congruent, but since SL=SK+KL, and KR=RL+LK. We have RL=SK, so we have two lines:

SL=SK+KL

KR=SK+KL

These are clearly congruent, making these two lines congruent.

Hope this helps :)

Answer:

x= -1 or x= -11

Step-by-step explanation:

Answer:

i think its D. Im not fully sure

Step-by-step explanation:

Answer:

  3.56 kg

Step-by-step explanation:

You want the mass of a model that is 45 cm tall and has a density of 1200 kg/m³ when the statue it is modeling is 270 cm tall, has a density of 2500 kg/m³, and a mass of 1600 kg.

The ratio of volumes of the model to the statue is the cube of the ratio of their heights:

  Vm/Vs = (Hm/Hs)³

  Vm = Vs(Hm/Hs)³ = (1600 kg)/(2500 kg/m³)·((45 cm)/(270 cm))³

  Vm ≈ 0.002963 m³

The mass of the model is the product of its volume and its density:

  Mm = Vm·ρ = (0.002963 m³)(1200 kg/m³) ≈ 3.56 kg

The mass of Justin's model is about 3.56 kg.

__

Additional comment

The relationship between density, volume, and mass is ...

  ρ = mass/volume

This can be rearranged to ...

  volume = mass/ρ

Which is the expression we used for Vs in the first section above.

(We used V and H for volume and height with 'm' and 's' signifying the model and the statue, respectively.)

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The mass of Justin's model is approximately 3.57 kg., rounded to 3 significant figures.

To find the mass of Justin's model, we can use the concept of mathematical similarity.

Mathematical similarity means that corresponding dimensions of two objects are proportional. In this case, Since the densities are also given, we can use the volume ratio to find the mass ratio.

Let's calculate the volume ratio first:

Volume ratio = (Height of model / Height of statue)^3

            = (45 cm / 270 cm)^3

            = (0.1667)^3

            = 0.00463

Now, using the density ratio:

Density ratio = Density of model / Density of statue

            = 1200 kg/m³ / 2500 kg/m³

            = 0.48

Finally, we can find the mass of Justin's model by multiplying the mass of the statue by the volume ratio and density ratio:

Mass of Justin's model = Mass of statue * Volume ratio * Density ratio

                     = 1600 kg * 0.00463 * 0.48

                     = 3.5712 kg

Rounding to 3 significant figures, the mass of Justin's model is approximately 3.57 kg.

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Answer: A - 42

Step-by-step explanation:

Let x= ones digit, y=tens digit

1st (original number) :

7(x+y)=10y + x

2nd (new number by reversing the digits): 18+x+y=10x+y

simplifying:

1st condition: 6x=3y

2nd condition: x=2

substituting x=2 to 6x=3y

y=4

Answer:

The answer is 42 but let me tell you this question made my brain cell work an all nighter from how bad I am at riddles LOL

Step-by-step explanation:

The function that describes the population of Martin is\(P(t) = 12,420 \times (1 + 0.016)^t\)

The predicted population of Martin in 2015 is 14557

The predicted  population of Martin in 2002 is 10,658

The function that describes the population of Martin as a function of the number of years t, since 2005, can be written as:

\(P(t) = 12,420 \times (1 + 0.016)^t\)

where P(t) is the population of Martin t years since 2005.

To predict the population of Martin in 2015, we need to substitute t = 10 into the equation:

P(10) = 12,420 × (1 + 0.016)¹⁰

= 14556.5

Therefore, the predicted population of Martin in 2015 is approximately 14556.5 people.

To predict the population of Martin in 2002, we need to find the number of years between 2005 and 2002, which is 3 years.

We can substitute t = -3 into the equation:

P(-3) = 12,420 × (1 + 0.016)⁻³)

= 10,658

Therefore, the predicted population of Martin in 2002 is approximately 10,658 people.

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Answer:

  (a)  x = 12

Step-by-step explanation:

The radicals in this equation can be eliminated simply by squaring both sides. Then the resulting linear equation is solved in two steps.

__

  \(\left(\sqrt{2x-8}\right)^2=\left(\sqrt{x+4}\right)^2\\\\2x-8=x+4\qquad\text{simplify}\\\\x-8=4\qquad\text{subtract $x$}\\\\\boxed{x=12}\qquad\text{add 8}\)

_____

Additional comment

You know the contents of each radical must not be negative. That means 2x-8 ≥ 0, or x≥4. We know x=4 doesn't work in the equation (0≠√8), so we only need to check the answers x=12 and x=7. Of those, only x=12 satisfies the equation.

To calculate the receivable days, divide the trade receivables (RM63,000) by the average daily sales (RM1,400) to get approximately 45 days.



To calculate the receivable days, we need to determine the average daily sales and then divide the trade receivables by that figure.

First, we calculate the average daily sales by dividing the total sales by the number of days in the year:

Average daily sales = Total sales / Number of days

Since the year ended on 30th June 2019, there are 365 days in total.

Average daily sales = RM511,000 / 365 = RM1,400

Next, we divide the trade receivables by the average daily sales to find the receivable days:

Receivable days = Trade receivables / Average daily sales

Receivable days = RM63,000 / RM1,400 ≈ 45 days

Therefore, Alice's receivable days on 30th June 2019 is approximately 45 days.

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a) Monthly payment = $489.77

b) John will paying $163.69 less per month

c) John will end up saving $3,943.28

d) John's car will be worth approximately $23,142.58

e) John actually lost $8,182.86 at the end of the 4-year loan.

The interest rate is the percentage of the amount of money borrowed, lent or invested that is charged or earned as a fee or return over a certain period of time. It is usually expressed as an annual percentage rate (APR) and can be fixed or variable depending on the type of loan or investment.

a) To calculate John's monthly payments, we need to use the formula for the present value of an annuity, which is:

PMT = P*(r/12)/(1-(1+r/12)^(-n*12))

Where PMT is the monthly payment, P is the principal amount (the amount financed after the down payment), r is the monthly interest rate, and n is the number of years.

So, we have:

P = 32,451 - 3,500 = 28,951

r = 0.055/12

n = 6

PMT = 28,951*(0.055/12)/(1-(1+0.055/12)^(-6*12)) = $489.77

Therefore, John's monthly payments would be $489.77.

b) Using the same formula, we can calculate John's monthly payments with the special financing:

P = 28,951

r = 0.0475/12

n = 4

PMT = 28,951*(0.0475/12)/(1-(1+0.0475/12)^(-4*12)) = $653.46

So, John's monthly payments with the special financing would be $653.46.

Difference in monthly payments between the above options is:

$653.46 - $489.77 = $163.69

Therefore, John would have to pay $163.69 more per month with the special financing.

c) To calculate how much John will save by going with the special financing, we need to calculate the total cost of each option.

For the original financing, the total cost can be found by multiplying the monthly payment by the number of payments:

Total cost = $489.77 * (6 * 12) = $35,268.72

For the special financing, the total cost is:

Total cost = $653.46 * (4 * 12) = $31,325.44

Therefore, John will save:

$35,268.72 - $31,325.44 = $3,943.28

So, John will end up saving $3,943.28 by going with the special financing.

d) To calculate the value of John's car when he finishes paying off his loan, we need to use the formula for continuous compounding:

A = P*e^(rt)

Where A is the final amount, P is the initial amount (the purchase price of the car), e is the mathematical constant e (approximately 2.71828), r is the annual interest rate, and t is the time in years.

The car depreciates at a continuous rate of 6%, which means that the value of the car decreases by 6% every year. So, the effective annual rate of depreciation is:

r = e^(-0.06) - 1 = -0.0589

Note that we use a negative value for r, since the value of the car is decreasing.

John will finish paying off his loan in 4 years. So, the time t is 4 years.

Therefore, the value of John's car when he finishes paying off his loan is:

A = 32,451e^(-0.05894) = $23,142.58

So, John's car will be worth $23,142.58 when he finishes paying off his loan.

e) To calculate how much John actually lost at the end of the 4-year loan, we need to subtract the value of his car at the end of the loan from the total amount he paid:

Total amount paid = $653.46 * (4 * 12) = $31,325.44

Value of car at end of loan = $23,142.58

Amount lost = Total amount paid - Value of car at end of loan

= $31,325.44 - $23,142.58  =  $8,182.86

Therefore, John actually lost $8,182.86 at the end of the 4-year loan.

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Answer:

{5 x = f(x) + 6, x = g(x) + 4}

Step-by-step explanation:

The length of the base of the rectangle is B = 11 yards  

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be represented as A

Now , the value of A is

Let the base of the rectangle be represented as B

Area of rectangle A = 209 yards²

The length of the rectangle L = 19 yards

And , Area of Rectangle = Length x Width

Substituting the values in the equation , we get

Area of Rectangle = 19 x B

209 = 19 B

Divide by 19 on both sides of the equation , we get

B = 209 / 19

B = 11 yards

Hence , the length of the base of rectangle is 11 yards

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Answer:

64 chickens

Step-by-step explanation:

Let the total percentage of animals be represented as = 100%

100% = 20% + 30% + 10% + % Chicken

% Chicken = 100% - ( 20% + 30% + 10% )

% Chicken = 100% - 60%

% Chicken = 40%

The number of animals on the farm = 160

The number of chickens on the farm = 40% × 160

= 40/100 × 160

= 64 chickens

Comparison or relational operations, such as <, >, =, allow for comparing numbers. They determine if a number is less than, greater than, equal to, or not equal to another number, enabling decision-making and comparisons within arithmetic and programming operations.

When comparing numbers, you can use various relational operators to determine the relationship between them. Here are the commonly used comparison operators:

Less than (<): This operator compares two numbers and returns true if the first number is smaller than the second number. For example, 5 < 10 is true.

Greater than (>): This operator compares two numbers and returns true if the first number is larger than the second number. For example, 10 > 5 is true.

Less than or equal to (<=): This operator compares two numbers and returns true if the first number is smaller than or equal to the second number. For example, 5 <= 5 is true.

Greater than or equal to (>=): This operator compares two numbers and returns true if the first number is larger than or equal to the second number. For example, 10 >= 10 is true.

Equal to (==): This operator compares two numbers and returns true if they are equal. For example, 5 == 5 is true.

Not equal to (!=): This operator compares two numbers and returns true if they are not equal. For example, 5 != 10 is true.

These comparison operators allow you to compare numbers and make decisions based on their relationships within arithmetic or programming operations.

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Based on the given scale of 1.5 inches to 2 miles on the map, an ant's 8-inch walk in Apollo Beach corresponds to a distance of 10.67 miles for a real person.

To determine the distance a real person would walk in Apollo Beach, we can use the given scale of 1.5 inches to 2 miles on the map. Since the ant walked 8 inches on the map, we need to calculate the equivalent distance in miles.

First, we can set up a proportion to find the conversion factor:

1.5 inches / 2 miles = 8 inches / x miles

To solve for x, we can cross-multiply:

1.5 inches * x miles = 2 miles * 8 inches

Simplifying the equation, we have:

1.5x = 16

Dividing both sides by 1.5, we find:

x ≈ 10.67 miles

Therefore, a real person would walk approximately 10.67 miles in Apollo Beach.

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Answer:  b = 9 m, h = 4 m

Step-by-step explanation:

9x4 equals 36, but all of these other answers do not equal 36. :)

Answer:

 b = 9 m, h = 4 m

Step-by-step explanation:

Answer:

3/8 might me ans

Step-by-step explanation:

12/33

6/16

3/8

Answer:

Step-by-step explanation:

The graph of a quadratic function is a U-shaped curve called a parabola. One important feature of the graph is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function.

False. Most of the terrain geometry in the classic game Assassin's Creed is not composed of fundamentally basic geometric shapes with elaborate decoration

In the classic game Assassin's Creed, the terrain geometry is typically not composed of basic geometric shapes with elaborate decoration. Instead, it involves complex and detailed 3D models and environments.

The game's environments are known for their rich and immersive world-building, featuring intricate cityscapes, historical landmarks, and varied landscapes.

Assassin's Creed games are renowned for their attention to detail and realistic depiction of historical settings. The  geometry is designed to replicate real-world locations, such as cities, villages, forests, and mountains, with accuracy and authenticity.

This involves creating intricate architectural structures, intricate natural landscapes, and diverse terrain features.

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Answer: Your mom

Step-by-step explanation:

HEHEHEHA

If a is positive, the function f(x) = \(a^x\) - 4 will never cross the x-axis.

1. We want to determine whether the function f(x) = \(a^x\) - 4 will intersect or cross the x-axis.

2. To find the x-intercepts, we set f(x) = 0 and solve for x. In this case, we have \(a^x\) - 4 = 0.

3. Adding 4 to both sides of the equation, we get \(a^x\) = 4.

4. If a is positive, raising a positive number to any power will always yield a positive value.

5. Therefore, there are no values of x that will make \(a^x\) equal to 4 when a is positive.

6. Since the function f(x) = \(a^x\) - 4 cannot equal zero, it will never cross the x-axis when a is positive.

7. In other words, the graph of the function will always remain above the x-axis for positive values of a.

8. However, if a is negative, then there will be values of x where \(a^x\) - 4 = 0 and the function crosses the x-axis.

9. Therefore, the statement that the function f(x) = \(a^x\) - 4 will never cross the x-axis is true only when a is positive.

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Answer:

0.90, 3/4, -5/16 , -0.52, -1/5Step-by-step explanation:

The apple mean weight's 95% confidence interval is;

CI = (119.14, 125.86) (119.14, 125.86)

The confidence interval above should be understood as;

We have a 95% confidence that each apple's average weight, across all of the apples they send, falls between 119.14 and 125.86 grams.

Ours is given;

12 for the standard deviation.

Sample size: 49; n

x = 122.5 is the indicated mean weight.

The current confidence interval formula is;

CI = x⁻ ± z(σ/√n)

Tables indicate that z = 1.96 at a 95% confidence level.

Thus;

CI = 122.5 ± 1.96(12/√49)

CI = 122.5 ± 3.36

CI = (122.5 - 3.36), (122.5 + 3.36)

CI = (119.14, 125.86)

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The total number of ways or permutations of the letters of the word ANGUISHED be arranged in a row if A and N must remain next to each other are 80640.

According to the given question.

We have a word ANGUISHED.

Total number of letters in the word ANGUISHED is 9.

If we AN remains next to each other, then we will consider only 8 letters (considering AN as a single letter).

Now, "AN" can be arranged in 2 differents ways AN and NA.

And the remaining  8 letters can be arranged in 8!

Therefore, the total number of ways or permutations of the letters of the word ANGUISHED be arranged in a row if A and N must remain next to each other

= 8! × 2

= 80640

The total number of ways or permutations of the letters of the word ANGUISHED be arranged in a row if A and N must remain next to each other are 80640.

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The median of the given list of numbers is 87.

To find the median of a list of numbers, we arrange them in ascending order and identify the middle value.

If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

First, let's arrange the numbers in ascending order:

65.9, 68, 70, 74, 75, 78, 84, 86, 87, 90, 93, 93, 95, 96, 97, 380, 486, 680

There are 17 numbers in the list, which is an odd number. The middle number is the 9th number in the list, which is 87.

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Step-by-step explanation:

look at the graph !

there is an explicit horizontal limit line at y = -1.

no such vertical line for a limit for x.

as usual for exponential functions, f(x) grows rapidly, but is still valid for all x of R.

so, D is the right answer.

when x gets more and more to the left, f(x) grows and grows strongly, and goes to infinity.

when x gets more and more to the right, f(x) gets closer and closer to -1 (but will never reach it, only at infinity ...).

The required value of the given function is (f ⋅ g)(4) = 130.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The functions are given in the question, as follows:

f(x)=3x+1 and g(x)=x²-6

(f ⋅g)(x) is the composition of the functions f and g, which means f(x) × g(x).

(f ⋅ g)(x) = f(x) × g(x)

So, substituting x = 4:

(f ⋅ g)(4) = f(4) × g(4)

= (3 × 4 + 1)×(4² - 6)

= 13 × 10

= 130

So, (f ⋅ g)(4) = 130.

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Answer:

10 and 11

Step-by-step explanation:

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

E, "As I was saying, . . .". The salesperson should use this statement if they wished to ignore the objection.

Option E is the best choice to ignore the objection because it allows the salesperson to redirect the conversation back to their main point without directly addressing the objection. The statement implies that the objection is not important enough to interrupt the flow of the conversation.

Ignoring objections is not always the best approach in sales, but if the salesperson chooses to do so, they should use a statement like option E to redirect the conversation back to their main point.


When a salesperson wants to ignore an objection, they should choose a response that does not address the concern raised and instead redirects the conversation back to the topic they were discussing. Option e does this effectively by not acknowledging the objection and continuing with the original discussion.

To ignore an objection, a salesperson should use a statement like option e, which allows them to refocus the conversation without addressing the concern raised.

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The calculated values of the numbers are 10 and 5

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

Let the numbers be x and y

So, we have

x * y = 50

x² + y² = 125

The numbers are positive numbers

So, we have

x = 10 and y = 5

When tested, we have

10 * 5 = 50

10² + 5² = 125

Hence, the values of the numbers are 10 and 5

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