Joseph was kayaking on the Hudson River. While looking at the Breakneck Ridge trail-head, he lost a whole bag of donuts. Joseph didn't realize he had lost it for fifteen minutes. That's when he turned back and started going in the opposite direction. When he found the bag, which was going at the speed of the Hudson's current, it was two miles from the Breakneck Ridge trail-head. What is the speed of the current in the Hudson River?

The required equation is 64x = 8 and the unknown variable is 1/8

Let the unknown variable be "x"

If the unknown number of 64 is 8, this can be expressed as:

x of 64 = 8

64x = 8

Divide both sides by 64

64x/64 = 8/64

x = 1/8

Hence the required equation is 64x = 8 and the unknown variable is 1/8

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Answer:

447451 miles

Step-by-step explanation:

a mile is 5820 feet or 69840 inches. 500,000,000,000/16 and then divide that by 5820

The equation of y in terms of x is  y =(c/b) - (a/b)x

An Equation is a mathematical statement formed when two algebraic expressions are equated with an equal sign.

The equation given in the question is

ax + by = c  ,  b ≠ 0.

Express y in terms of x in the equation

by = c - ax

y = (c/b) - (a/b)x

Therefore the equation of y in terms of x is  y =(c/b) - (a/b)x

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Answer:

Its moved 2 units to the left

Step-by-step explanation:

left: +

right: -

Answer:

2 units left

Step-by-step explanation:

Emily new boots cost a total of $71.4 with the tax included as 5% and the original cost of the boots being $68.

The sales tax rate in Emily's city = 5% and the cost of Emily's new boots is $68

we need to find the amount of sales tax Emily will pay for her boots,

The formula we will use =

Sale tax = Percent sales tax x Cost of the product

when we put the values in the formula, we get:

Sales tax = 5% x $68

= $3.4

now we need to also calculate the total cost for Emily's boots,

Therefore, the total cost = Cost of boots + Sales Tax

when we put the values in the formula, we get:

Total cost = $68 + $3.4

= $71.4

Therefore, the total cost Emily will pay for her boots is $71.4

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Using it's formula, it is found that the monthly payment should be of $688.49 in order to pay off the debt in 15 years.

It is given by:

\(A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}\)

In which:

For this problem, the parameters are given as follows:

A = 90000, r = 0.045, n = 15 x 12 = 180.

Hence:

r/12 = 0.045/12 = 0.00375.

Then we solve for A to find the monthly payment, as follows.

\(A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}\)

\(A = 90000(0.00375)\frac{(1.00375)^{180}}{(1.00375)^{180} - 1}\)

A = $688.49

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Correct question is;

Factor out the GCF from the given polynomial. 10x³ + 16x² - 18x. (Type your answer in factored form.)​

Answer:

GCF = 5x² + 8x - 9

Step-by-step explanation:

The given polynomial is;

10x³ + 16x² - 18x

First thing is to inspect the coefficients and see the greatest number that all three can be divided by evenly without remainder.

The greatest number is 2.

Secondly let's inspect the variables to see what we can factor out.

They all contain x. Thus, x is a factor.

Thus, we will divide each term by 2x to obtain the GCF of the polynomial.

GCF = (10x³/2x) + (16x²/2x) - (18x/2x)

GCF = 5x² + 8x - 9

Answer:

c 5

Step-by-step explanation:

\(\sf \longmapsto \frac{1}{5} x + \frac{1}{2} > \frac{4}{5} \)

\(\sf \longmapsto \frac{1}{5} x + \frac{1}{2} - \blue{\frac{1}{2 }}> \frac{4}{5} - \blue{ \frac{1}{2} }\)

\(\sf \longmapsto \frac{1}{5} x > \frac{3}{10} \)

\(\sf \longmapsto5 \times ( \frac{1}{5} x) > 5 \times ( \frac{3}{10} )\)

\(\sf \longmapsto x > \frac{3}{2} \)

\( \boxed{\sf \: x > \frac{3}{2} }\)

The exact value of cscθ is (35 * √(1190)) / 1190.

To find the value of cscθ (cosecant θ) given that cosθ = 1/√35 and sinθ < 0, we can use the reciprocal relationship between sine and cosecant.

Recall that cscθ is the reciprocal of sinθ. Since sinθ is negative, we can determine its value based on the quadrant in which θ lies.

In the unit circle, the cosine is positive in the first and fourth quadrants, while the sine is negative in the third and fourth quadrants.

Given that cosθ = 1/√35 and sinθ < 0, we can conclude that θ lies in the fourth quadrant.

Using the Pythagorean identity, sinθ = √(1 - cos^2θ), we can calculate the value of sinθ:

sinθ = √(1 - (1/√35)^2)

     = √(1 - 1/35)

     = √(34/35)

     = √34 / √35

     = (√34 / √35) * (√35 / √35)     [Multiplying numerator and denominator by √35 to rationalize the denominator]

     = √(34 * 35) / 35

     = √(1190) / 35

Now, since cscθ is the reciprocal of sinθ, we have:

cscθ = 1 / sinθ

     = 1 / (√(1190) / 35)

     = 35 / √(1190)

     = (35 * √(1190)) / 1190.

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Function is continuous everywhere expect x = 6 and  x = -6

What does a math interval mean?

In mathematics, an interval is quantified in terms of numbers. The range of numbers between any two specific numbers is known as the interval.

                         Every real number between those two values is included in this range. All kinds of numbers, including imaginary ones, are real numbers.

The function will not be continuous if the denominator becomes zero .

   f(x)  =  x+6/(x² - 36 )

to become denominator zero -

      x² - 36  = 0

    (x + 6) ( x - 6 ) =0

    x = 6  or   x = -6

so at x = 6 and x = -6 the function is not continuous .

  the interval for continuity is -

      = ( -∞ , - 6), ( -6 , 6) , ( 6, ∞ )

  In other words function is continuous everywhere expect x = 6 and

x = -6

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Answer:

(2, 3)

Step-by-step explanation:

Use substitution method

heres the answer for your question

The experimental probability of landing on a number greater than 4 is 0.25 or 25%.

To find this probability, we need to determine the number of successful outcomes (landing on a number greater than 4) and divide that by the total number of trials (60).

The successful outcomes are 5 and 6, with a frequency of 10 and 8 respectively. To add these two frequencies together, we can use 10 + 8 = 18.

So, the experimental probability is 18/60 = 0.3 or 25%.

It's important to note that experimental probability is based on the outcomes of an experiment or a sample and it may not be the same as a theoretical probability which is based on the ratio of favorable outcomes to the total number of outcomes in a theoretical model.

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the answer in fraction form is 18/60

if thats what you are looking for.

Answer:

the correct answer is 65 degrees

Step-by-step explanation:

The angle is 65 degrees

Answer:

it is 75°

Step-by-step explanation:

so do you see the red line? it is in between 70° and 80° which means it's 75°

The top right graph could show the arrow's height above the ground over time.

The initial and the final height are both at eye level, which is the reference height, that is, a height of zero.

This means that the beginning and at the end of the graph, it is touching the x-axis, hence either the top right or bottom left graphs are correct.

The trajectory of the arrow is in the format of a concave down parabola, hitting it's maximum height and then coming back down to eye leve.

Hence the top right graph could show the arrow's height above the ground over time.

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The production schedule needs to be carefully analyzed and adjusted to meet the goals specified by management, considering existing orders, inventory, and labor hour constraints.The task is to analyze the production scheduling problem for EZ Trailers, Inc. They manufacture general-purpose trailers, including boat trailers.

The two main models are EZ-190 and EZ-250. Each EZ-190 unit requires four hours of production time, while each EZ-250 unit requires six hours. Orders for March and April have been received, along with existing inventory and labor hour constraints. The primary goal is to meet the existing orders for the EZ-250, followed by the orders for the EZ-190. A maximum labor hour fluctuation of 1000 hours between months is desired. The analysis should provide a production schedule that satisfies these goals.

To develop the production schedule, we need to consider the available orders, inventory, and labor hour constraints. Firstly, we determine the total production hours required for each model by multiplying the number of units by their respective production time. For March, the total production hours for EZ-190 is 800 units * 4 hours = 3200 hours, and for EZ-250 is 1100 units * 6 hours = 6600 hours. For April, the production hours for EZ-190 is 600 units * 4 hours = 2400 hours.

To meet the primary goal of satisfying existing orders for EZ-250, we allocate the available production hours accordingly. In March, we allocate 3200 hours to EZ-190 and 3100 hours (6300 - 3200) to EZ-250. In April, we allocate 2400 hours to EZ-190 and 3900 hours (6300 - 2400) to EZ-250. This ensures that the EZ-250 orders are fulfilled while minimizing labor hour fluctuations.

If EZ Trailers' storage facilities can only accommodate a maximum of 300 trailers per month, the production schedule needs to be adjusted. This would require reducing the production of both EZ-190 and EZ-250 models to ensure the ending inventory does not exceed 300 units for each model.

If management wants an ending inventory of at least 100 units of each model in April, the production schedule needs to be modified again. This would involve adjusting the production of both models to ensure the ending inventory meets the desired level while considering storage constraints.

If the labor fluctuation goal becomes the highest priority, the production schedule would be adjusted to minimize labor hour fluctuations between months. This may involve redistributing production hours to balance the labor requirements while still meeting the goals for existing orders and inventory levels.

In conclusion, the production schedule needs to be carefully analyzed and adjusted to meet the goals specified by management, considering existing orders, inventory, and labor hour constraints.

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Answer:

Volume=8

Step-by-step explanation:

\(volume\)⇒\(\frac{1}{3}\)×\((\frac{1}{2}\)×\(3\)×\(4^{2}\)×\(4)\)

⇒\(\frac{1}{3}\)×\(3\)×\(8\)

\(Answer:8\)

hope it helps...

have a great day!!!

Answer:

c because 5×4=20 and 3×5÷2=7.5= 27.5

Answer:

Step-by-step explanation:

The circumference of the bicycle wheel can be determined by the formula:

Circumference = π x diameter

where π (pi) is a mathematical constant equal to approximately 3.14.

Substituting the given diameter of 1.25 ft, we get:

Circumference = 3.14 x 1.25 ft

Circumference = 3.925 ft (rounded to three decimal places)

Each revolution of the wheel covers a distance equal to the circumference of the wheel. Therefore, if the odometer recorded 254 revolutions, the distance covered by the bicycle is:

Distance = 254 x Circumference

Distance = 254 x 3.925 ft

Distance = 996.95 ft (rounded to two decimal places)

Therefore, the bicycle traveled approximately 996.95 feet.

Answer:

choice a is correct i beleive

Step-by-step explanation:

A data set's attributes are enumerated through descriptive statistics. You can use inferential statistics to test a hypothesis or determine whether your data can be applied to a larger population.

Descriptive statistics concentrate on describing the features of a dataset that are readily evident (a population or sample). In contrast, inferential statistics concentrate on drawing conclusions or generalisations from a sample of data in a larger dataset.

The information from a research sample is described and condensed using descriptive statistics. We can draw conclusions about the larger population from which we drew our sample using inferential statistics.

The area of statistics known as descriptive statistics is focused on providing a description of the population being studied. A type of statistics known as inferential statistics concentrates on inferring information about the population from sample analysis and observation.

Hence we get the required answer.

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5)

we need first to calculate the radius of the circumference, this is the distance between the center to any point of the circumference, then the radius will be:

then the circumference equation is:

Answer:

\(\large\boxed{8 \div(x - y)}\)

Step-by-step explanation:

Sentence: The quotient of 8 and the difference of x and y

We know that:

Quotient = division

Difference = subtraction

Write out the sentence in an equation:

The quotient of 8 and the difference of x and y.

\(\large\boxed{8 \div(x - y)}\)

Let me know if you have any questions!

Answer:

7

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y = 6 = - \(\frac{1}{7}\) (x + 2) ← is in point- slope form

with slope m = - \(\frac{1}{7}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{7} }\) = 7

Answer:

85+5=90x2=$180

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

You make a proportion 9/6=15/x then multiply 6 and 15 and divide it by 9

The height the 15 ft building touches the building is approximately 10 ft.

The ladder is 9 ft tall and leaning on a wall that is 6 ft above the ground.

The situation forms a right angle triangle.

Therefore, let's find the angle made by the 9 ft ladder and then use it to find the height the 15 ft ladder touch the building.

Using trigonometric ratios,

let

∅ = angle

tan ∅ = opposite / adjacent

tan ∅ = 6 / 9 = 2 / 3

∅ = tan⁻¹ 0.6666666

∅ = 33.6900672615

Therefore, the height the 15 ft ladder touch building can be calculated as follows:

tan 33.69 = h / 15

h = 15 × 0.66666496431

h = 9.99997446476

h ≈ 10 ft.

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Answer:

2) -3x+10

4) -4x+10+x

Step-by-step explanation:

Use the distributive property to get rid of the parentheses.

(2 × -2x) + (2 × 5) + x

-4x + 10 +x is correct, but the x's can be combined.

(-4x + x) + 10 = -3x + 10

Answer: -2x(5y+6)

Step-by-step explanation: