The number of ferryboat trips f(c), needed to transport c cars in 1 day can be found using the function f(c) = c/20 To transport the maximum 1000 cars, the ferry makes 125 daily trips, What is the range of the function?

Answers

Answer 1

Answer:

F(C)<250

Step-by-step explanation:

To solve the problem we need to remember that a function is a relationship between an input usually called "x" (domain) and an output, usually called "y" and it's also the range of the function.

F(X)=y

We are given a relationship (a function) between the ferryboat trips "c" and the number of cars transported per day.

f(C)=C/20

Hence, the range of the function knowing that there are not more than 5000 cars transported by the ferryboat (daily) the range is all the numbers that are less or equal to 250.

F(C)<250

:)!

Related Questions

What is the area of the shape below

Answers

The area of the shape = area of the 2 rectangles + area of the 2 trapeziums = 7 ft².

What is the Area of a Trapezium and Area of a Rectangle?

Area of a trapezium = 1/2(a + b) × h, where a and b are the lengths of the bases of the trapezium and h is the height of the trapezium.

Area of a rectangle = (length)(width).

The shape is composed of two identical rectangles and 2 identical trapeziums.

Area of the 2 identical trapeziums = 2(1/2(a + b) × h)

a = 1 ft

b = 2 ft

h = 1 ft

Substitute

Area of the 2 identical trapeziums = 2(1/2(1 + 2) × 1) = 3 ft²

Area of the 2 identical rectangles = 2(length)(width) = 2(2)(1)

Area of the 2 identical rectangles = 4 ft²

Area of the shape = area of the 2 rectangles + area of the 2 trapeziums = 3 + 4 = 7 ft².

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What formula do I use for this? How do I get the points to graph?

Answers

The graph of the function y = 5|x - 4| is added as an attachment

Sketching the graph of the function

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

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Vertically stretched by a factor of 5Shifted right by 4 units

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

Answers

The number of servings of juice in the bottles on the shelf is 135

How to determine the number of servings of juice in the bottles on the shelf?

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

Bottles = 9

Serving of juice per bottle = 15

This means that

The number of servings of juice in the bottles on the shelf = Bottles x Serving of juice per bottle

So, we have

The number of servings of juice in the bottles on the shelf = 9 * 15

Evaluate

The number of servings of juice in the bottles on the shelf = 135

Hence, the servings is 135

Answers

Answer: passes a horizontal AND vertical line test✅; no repeating x values✅

Step-by-step explanation:

To pass a line test, the function must pass BOTH the horizontal and vertical line test. If it only passes one but not the other, is it NOT a function.

Lastly, it can be a function if it has repeating y values.

Using the two data points from Exercises 1 and 2, write a linear equation that shows how the wind power would need to grow to make this goal. Use years for the independent variable and terawatt hours for the dependent variable. Let year 0 represent year 2012.

Answers

The linear equation that shows how the wind power would need to grow to make this goal is y = 25x + 15

How to determine the equation of the wind power

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

(x, y) = (0, 15) and (5, 90)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 15

Using the other point, we have

5m + 15 = 90

So, we have

5m = 75

Divide by 5

m = 25

So, the equation becomes

y = 25x + 15

Answers

The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

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URGENT NEED HELP GIVING BRAINLY AND EXTRA PTS GIVE EVIDENCE NO LINKS OR FAKE ANSWERS OR I THINK AS THAT ALLOWS YOU TO SCAM PTS IF YOU DO U WILL BE REPORTED

Answers

Step-by-step explanation: To find the IQR of a box plot, you must identify the location of Q1 and Q3. Subtracting the values will give you the IQR

Answer:

D. 20

Step-by-step explanation:

IQR = Q3 - Q1IQR = 36 - 16 = 20

Correct choice is D

How to calculate 99 : 5

Answers

Answer:

19.8

Step-by-step explanation:

99/5= 19.8

If the figure below is a regular polygon, find the value of x.
(9x - 18)

Answers

The value of x is 9(x-2)

If the figure below is a regular polygon, find the value of x.(9x - 18)

A count of patients needing a blood transfusion in the emergency room at a city hospital would best be modelled by what
distribution?
A. geometric
B. continuous
C. normal
D. Poisson

Answers

The count of patients needing a blood transfusion can be modelled as a continuous distribution.

What is a continuous distribution?

A continuous distribution is a distribution that can take on an infinite number of possible values. A continuous distribution is not defined at specific values. The number of patients can be 1 or 10 or 50 or even 0.

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A carrot has grown 5 inches above the ground and goes 6 inches below the ground. How tall is the whole carrot plant?

Answers

Answer:

11 inches

Step-by-step explanation:

Answer:

11 inches in total.

Step-by-step explanation:

5 inches plus (+) 6 inches is 11 inches. Simple addition.

Whether it be growing above or below the ground, the fruit/vegetable (in this case, the carrot) will still be the height of the entire plant.

15 points! Will give BRAINLIEST! Please help!

Answers

Answer:

a. 1.2

Step-by-step explanation:

b. 0.4

iestieasurement
1
The clock shows 5 minutes to 8 in the morning.
It is 12 minutes slow.
What time should it be?

Answers

The clock is showing 7:55 AM
Since it’s 12 minutes behind then the time would be 7:43 AM

8:07(am)

First, you have to know that 5 minutes to 8:00 is 7:55.

"It is 12 minutes slow."

So the clock's 12 minutes behind, let's catch it up a bit. :)

7:55(am) + 12(mins) = 8:07(am)

~pinetree

Fill in the blanks to make the equation true. 9 4× 1= 9 4× = 45 20

Answers

Answer:

9/4× 1= 9/4× = 45/20

Step-by-step explanation:

Find the slope of the following equation y=-6/7x+42? I'm so stuck can someone help?

Answers

Answer:

Step-by-step explanation:

the slope is in the equation

-6/7 is the slope

equivalent equation for 3:7

Answers

Answer:

Hay fracciones infinitas equivalentes a 3

. Vea algunos ejemplos:

, 6

, 9

, 12

, 15

, 18

, 21

, 24

, 27

, 30

, 33

, 36

, 39

, 42

, 45

105

, 48

112

, 51

119

, 54

126

, 57

133

, 60

140

...

Lista más fácil de copiar y pegar:

3/7, 6/14, 9/21, 12/28, 15/35, 18/42, 21/49, 24/56, 27/63, 30/70, 33/77, 36/84, 39/91, 42/98, 45/105, 48/112, 51/119, 54/126, 57/133, 60/140 ...

Step-by-step explanation:

Answer: Hello, There! your Answer is Below

6:14

Step-by-step explanation:

Equivalent equations are algebraic equations that have identical solutions or roots. Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation. Multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.

Hope this Helps!!

Plz explain your Question Better.

AB and AD are tangent to circle C. Find the length of AB, if AB = 8x and AD = x + 9. Round your answer to 2 decimal places.

Answers

To find the length of AB, we need to use the properties of a tangent to a circle.

When a line is tangent to a circle, it forms a right angle with the radius drawn to the point of tangency. This means that triangle ABD is a right triangle with AB as the hypotenuse.

We can use the Pythagorean theorem to find the length of AB:

AB^2 = AD^2 + BD^2

Since AD = x + 9 and BD = 8x - (x + 9) = 8x - x - 9 = 7x - 9, we can substitute these values into the equation:

(8x)^2 = (x + 9)^2 + (7x - 9)^2

64x^2 = x^2 + 18x + 81 + 49x^2 - 126x + 81

64x^2 = 50x^2 - 108x + 162

14x^2 + 108x - 162 = 0

Dividing the equation by 2, we get:

7x^2 + 54x - 81 = 0

Using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

a = 7, b = 54, c = -81

x = (-54 ± √(54^2 - 4 * 7 * -81)) / (2 * 7)

x = (-54 ± √(2916 + 2268)) / 14

x = (-54 ± √5184) / 14

x = (-54 ± 72) / 14

Now we solve for x:

Case 1: x = (-54 + 72) / 14 = 18 / 14 = 9 / 7

Case 2: x = (-54 - 72) / 14 = -126 / 14 = -9

Since the length of a segment cannot be negative, we discard the second case and focus on the positive solution.

Therefore, x = 9/7.

Substituting this value back into AB = 8x:

AB = 8 * (9/7) = 72/7 ≈ 10.29

Rounding to 2 decimal places, the length of AB is approximately 10.29 units.

Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

MARK AS BRAINLIEST!!!

Write the slope-intercept form of the equation of each line.4) -10 + 3x = -5y

Answers

We are given the following equation:

$-10+3x=-5y$

We are asked to rewrite this equation in slope-intercept mode. To do that, let's remember that the general form of the slope-intercept mode is the following:

$y=mx+b$

Where "m" is the slope and "y" the intercept. This means that we have to solve for "y" in our equation. Let's beging by changing the order of the equation, like this:

$-5y=-10+3x$

Now we will divide by -5 on both sides of the equation

$-\frac{5y}{-5}=-\frac{10}{-5}+\frac{3}{-5}x$

Simplifying we get:

$y=2-\frac{3}{5}x$

and in that way, we get the slope-intercept form of the given equation.

please help me answer this question thank you

Answers

Answer:

Step-by-step explanation:

Select the correct answer. Which expression is equivalent to the given expression? (6n^-5)(3n^-3)^2

Answers

The equivalenet expression is 54$n^{-11}$

What is expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression.

What is exponent?

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

To simplify the given expression, we need to apply the power of a power rule, which states that to raise a power to another power, we need to multiply the exponents.

Starting with:

($6n^-5$)($3n^-3$)²

We can simplify as follows:

($6n^-5$)($9n^-6$)

Now, we can use the product of powers rule, which states that when multiplying two powers with the same base, we add their exponents.

Therefore:

6 x 9 = 54

$n^-5 * n^-6 = n^-11$

So the simplified expression is:

$54n^-11$

Therefore, the expression $(6n^-5)(3n^-3)^2$ is equivalent to $54n^-11.$

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The expression that is equal to (6n-5)(3n-3) option D, 54n11.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

We can use the distributive property of multiplication to expand the expression (6n - 5)(3n - 3) as follows:

(6n - 5)(3n - 3) = 6n(3n) - 6n(3) - 5(3n) + 5(3)

= 18n² - 18n - 15n + 15

= 18n² - 33n + 15

Therefore, the expression that is equivalent to (6n - 5)(3n - 3) is 18n² - 33n + 15, which is option D.

So, the answer is option D, 54n11.

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16m^2+60m-54
Factor

Answers

the answer is 2(4m-3)(2m+9)

Given the following function, find f(-5), f(0), and f(3).
f(x) = x^2+5

Answers

Answer:

f(-5) = 30

f(0) = 5

f(3) = 14

Step-by-step explanation:

=> f(x) = x²+5

for , f(-5) = (-5)² +5

=> 25 +5

=> 30

for , f(0) = (0)² +5

=> 5

for , f(3) = (3)² + 5

=> 9 + 5

=> 14

fatma is 26 years old.her daughter is 4 years old. in how many years will fatma be doubled her daughters ago?

Answers

Answer:

my answer aint as good as the other persons but there right it would be 18 years

Step-by-step explanation:

Suppose you were to draw all possible samples of size 36 from a large population with a mean of 650 and a standard deviation of 24. You then compute the sample mean x-bar for each sample. From the long list of sample means, you create the sampling distribution of the sample mean, assigning probabilities to all possible values of x-bar.

Required:
What is the shape of the sampling distribution you would expect to produce?

Answers

Answer:

By the Central Limit Theorem, it is approximately normal with mean 650 and standard deviation 4.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 650 and a standard deviation of 24.

This means that $\mu = 650, \sigma = 24$.

Sample of 36:

This means that $n = 36, s = \frac{24}{\sqrt{36}} = 4$

What is the shape of the sampling distribution you would expect to produce?

By the Central Limit Theorem, it is approximately normal with mean 650 and standard deviation 4.

The sum of the angle measures of a quadrilateral is 360°. Write and solve an equation to find the value of x.
84° 68° 95° x°

Answers

Answer:

x=113

Step-by-step explanation:

because 95 + 84 + 68 is 247 360 - 247 = 113

What is the domain of f(x)? {x | 1 < x < 5} {x | 1 < x < 5} {y | −4 < y < 1} {y | −4 < y < 1}

Answers

The domain of function f(x) is given as follows:

{x | 1 ≤ x < 5}.

How to define the domain and range of a function?

The domain of a function is defined as the set containing all possible input values of the function, that is, all the values assumed by the independent variable x in the context of the function.The range of a function is defined as the set containing all possible output values of the function, that is, all the values assumed by the dependent variable y in the context of the function.

The values of x of the function given at the end of the answer are as follows:

Starts at x = 1(closed interval).Ends at x = 5 (open interval).

Hence the domain is given as follows:

{x | 1 ≤ x < 5}.

Missing Information

The function is given by the image presented at the end of the answer.

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What is the domain of f(x)? {x | 1 < x < 5} {x | 1 < x < 5} {y | 4 < y < 1} {y | 4

Answer:

A - {x | 1 < x < 5}

Step-by-step explanation:

took the Quiz

Determine the total surface area of the given triangular prism. Only enter the numeric value of your answer. Do not enter the unit of measure. For example, enter 528, not 528 cm^2. Round all answers to the nearest tenth.

Answers

Well if we know the total surface area of thr given triangular prism it would determine how much I need these points.

Answer:

dft

Step-by-step explanation:

hhfhuiygghhjkllkgfdfy

Question 6 (5 points)
TD
What is the distance between point C and point D?
A) 185 units
O
B) 12 units
C) 17 units
D) 13 units

Answers

Answer:

Step-by-step explanation:

Answer:13

Step-by-step explanation:

To pay for a home improvement project that totals $20,000, a homeowner is choosing between two different credit card loans with an interest rate of 9%. The first credit card compounds interest quarterly, while the second credit card compounds monthly. The homeowner plans to pay off the loan in 10 years.

Part A: Determine the total value of the loan with the quarterly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)

Part B: Determine the total value of the loan with the monthly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)

Part C: What is the difference between the total interest accrued on each loan? Explain your answer in complete sentences. (2 points)

Please only responded if you know how to do it, will give the brainiest to however answers it correctly

Answers

The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.

Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt),

where:

A is the total value of the loan,

P is the principal amount (initial loan amount),

r is the interest rate (in decimal form),

n is the number of times interest is compounded per year,

and t is the number of years.

Given:

P = $20,000,

r = 9% or 0.09,

n = 4 (quarterly compounding),

t = 10 years.

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/4)^(4*10).

Calculating this value, we find:

A ≈ $45,288.38.

Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.

Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:

n = 12 (monthly compounding).

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/12)^(12*10).

Calculating this value, we find:

A ≈ $45,634.84.

Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.

Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.

For the loan with quarterly compounding:

Total interest = Total value - Principal

Total interest = $45,288.38 - $20,000

Total interest ≈ $25,288.38.

For the loan with monthly compounding:

Total interest = Total value - Principal

Total interest = $45,634.84 - $20,000

Total interest ≈ $25,634.84.

The difference between the total interest accrued on each loan is approximately $346.46.

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If the bathtub holds a total of 46.2 gallons, how many minutes would it take to fill the entire tub? Write an equation in one variable to help you solve the problem. The variable represents the unknown time in minutes.

Answers

Answer:

46.2÷m=x

Step-by-step explanation:

u divide the amount of water by the time it takes to fill up(m). Witch will equal the amount per minute (x).

16.5/min

time = m

gallons / minutes = rate

46.2 = 16.5 (m)

46.2 / 16.5 = 16.5 (m) / 16.5

2.8 = minutes

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