can't figure out this problem can anyone help if so thank you

9/10 mile = 5 min

9/10 ÷ 5 mile = 1 min

9/10 × 1/5 mile = 1 min

9/50 mile = 1 min

The sine of angle A is approximately 0.0975, the cosine is approximately 0.122, and the tangent is approximately 0.8.

The man initially walks in a northeast direction, then changes direction and walks south for a certain distance.

a) To determine the distance between the man's current location and the source, we can visualize the scene as a right triangle. The northeast and south directions form two sides of the triangle,

and the distance between the source and the man's current location represents the hypotenuse. Using the Pythagorean theorem, we can calculate the distance:

Distance = sqrt((5 km)^2 + (4 km)^2)

Distance = sqrt(25 + 16)

Distance = sqrt(41) km (approximately)

b) To calculate the trigonometric ratios, we can consider the right triangle formed by the northeast and south directions. Let's label the angle between the northeast direction and the hypotenuse as angle A.

Sine: sin(A) = Opposite/Hypotenuse = 4 km / sqrt(41) km (approximately)

Cosine: cos(A) = Adjacent/Hypotenuse = 5 km / sqrt(41) km (approximately)

Tangent: tan(A) = Opposite/Adjacent = 4 km / 5 km = 0.8 (approximately)

Therefore, the sine of angle A is approximately 0.0975, the cosine is approximately 0.122, and the tangent is approximately 0.8.

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Answer and Step-by-step explanation:

The numbers that are irrational are the square root of 27 and the square root of 55. ( \(\sqrt{27}, \sqrt{55}\) ).

This is because those numbers don't have a perfect square root.

The square root of 16 and the square root of 64 have perfect square roots (16 having the answer as 4, and 64 having the answer as 8).

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Answer:

57.77% out of 100

john's father would pick pink because pink is in less number

Answer:

25%

Step-by-step explanation:

20 divided by 8 times 100 take away the zero

percentage = part/whole x 100

Answer:

hello there i think the answer is c

Step-by-step explanation:

Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

The complete question is

"Find the general solution of the given differential equation

y''-y=0, y1(t)=e^t , y2(t)=cosht

The function \(y(t)=e^t\)  is the solution of the given differential equation.

The function y(t)=cosht is the solution of given differential equation.

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

\(y_1(t) = e^t\)

Given differential equations are,

y''-y = 0

 So that,  

\(y' (t) = e^t, y'' (t) = e^t\)

Substitute values in the given differential equation.

\(e^t -e^t=0\)

Therefore, the function \(y(t)=e^t\)  is the solution of the given differential equation.

Another function;

\(y(t)=cosht\)  

So that,  

\(y"(t)=sinht\\\\y"(t)=cosht\)

Hence, function y(t)=cosht is solution of given differential equation.

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Answer:

Square 4x³ - x²

Step-by-step explanation:

Given the expression -5x²(4x³ - x²)²

The first step in simplifying the expression is to open the parenthesis by taking the square of 4x³ - x² as shown;

-5x²(4x³ - x²)²

= -5x²[(4x³)²- 2x²(4x³) + (x²)²]

= -5x²[16x^6- 8x^5 + x^4]

Hence the correct answer is Square 4x³ - x²

Integers are numbers without decimals

The integers could you have multiplied are 9 and 2

Let the numbers be x and y

So, we have:

\(\mathbf{x \times y}\)

Increase x by 1 and reduce y by 1.

So, we have

\(\mathbf{(x +1) \times (y -1) = 6 + xy }\)

Open brackets

\(\mathbf{xy -x + y - 1 = 6 + xy}\)

Subtract xy from both sides

\(\mathbf{ -x + y - 1 = 6}\)

Collect like terms

\(\mathbf{ -x + y = 6 + 1}\)

\(\mathbf{ -x + y = 7}\)

Rewrite as:

\(\mathbf{ y -x= 7}\)

The above means that, the difference between the integers is 7.

There are several integers that fit the above description;

One possibility is: 9 and 2

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The phenomenon described, characterized by exponential growth followed by a steady decrease in population growth until stabilization, is typical of logistic growth.

Logistic growth is a concept often observed in biological populations, where the population initially experiences rapid growth due to abundant resources and favorable conditions. During this initial phase, the population size increases exponentially. However, as the population grows larger, it begins to face limiting factors such as limited food supply, competition for resources, predation, disease, and limited habitat. These factors impose constraints on the population's growth rate.

As the population approaches its carrying capacity, which is the maximum population size that the environment can sustain, the growth rate starts to decline. The population growth rate becomes more gradual until it eventually reaches zero, resulting in a stable population size. This leveling off of population growth is due to the balance between birth rates and death rates, as well as the availability of resources. In logistic growth, the population reaches an equilibrium point where it remains relatively stable over time.

The logistic growth model provides a more realistic representation of population dynamics compared to simple exponential growth models. It accounts for the influence of limiting factors on population growth and helps explain the patterns observed in many natural populations.

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Answer:   7:3 is the ratio of the problem

Step-by-step explanation:

By running the script or calling the function with different values of x, y, and R, you can simulate the behavior of the given function and determine its output based on the conditions specified.

Here's a MATLAB code snippet that simulates the function M(x, y):

function result = M(x, y, R)

   if x^2 + y^2 <= R^2

       result = 1;

   else

       result = 0;

   end

end

To use this function, you can call it with the values of x, y, and R and it will return the corresponding result based on the conditions specified in the function.

For example, let's say you want to evaluate M for x = 3, y = 4, and R = 5. You can do the following:

x = 3;

y = 4;

R = 5;

result = M(x, y, R);

disp(result);

The output will be 1 since x^2 + y^2 = 3^2 + 4^2 = 25, which is less than or equal to R^2 = 5^2 = 25.

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The total expense for producing 2 widgets is $18,006.00.

To find the total expense for producing 2 widgets, we need to find the total revenue from selling 2 widgets and then subtract the total expense of producing them.

The total revenue from selling 2 widgets is simply the price per widget times the quantity demanded at that price. Since the price is not specified in the problem, we can use the demand function to find it.

We know that the quantity demanded when 2 widgets are produced is:

q = 2

So we can solve the demand function for p:

q = -112p + 4,500

2 = -112p + 4,500

-112p = -4,498

p ≈ 40.16

Therefore, the price per widget is approximately $40.16.

The total revenue from selling 2 widgets at this price is:

revenue = price × quantity demanded

revenue = $40.16 × 2

revenue = $80.32

Now we need to find the total expense of producing 2 widgets. The problem gives us an expression for the total expense:

E = 3.00q + 18,000

Substituting q = 2, we get:

E = 3.00(2) + 18,000

E = $18,006.00

Therefore, the total expense for producing 2 widgets is $18,006.00.

Finally, we can calculate the profit as the difference between the revenue and the expense:

profit = revenue - expense

profit = $80.32 - $18,006.00

profit ≈ -$17,925.68

Since the profit is negative, Willie's Widgets would not make any profit from producing 2 widgets at this price. They would lose money.

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You are c) a structure. A structure is a collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.

A structure is a user-defined data type that allows you to group together related data. For example, you could create a structure to store the name, age, and address of a person. The structure would have three variables, each of a different type: a string variable for the name, an integer variable for the age, and a string variable for the address.

The advantage of using a structure is that it allows you to treat the related data as a single unit. This makes it easier to manipulate the data and to pass the data to functions.

The other answer choices are incorrect. A template is a blueprint for creating a generic class or function. An array is a collection of elements of the same type. Local variables are variables that are declared within a function and that are only accessible within the function.

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Answer:

Step-by-step explanation:

The interest earned increases with higher principal amounts, higher interest rates, and longer time periods.

Principal (P) | Interest Rate (r) | Time Period (t) | Interest Earned (I)

$1,000 | 2% | 1 year | $20

$5,000 | 4% | 2 years | $400

$10,000 | 3.5% | 3 years | $1,050

$2,500 | 1.5% | 6 months | $18.75

$7,000 | 2.25% | 1.5 years | $236.25

To calculate the interest earned (I), we can use the simple interest formula: I = P * r * t.

For the first row, with a principal of $1,000, an interest rate of 2%, and a time period of 1 year, the interest earned is calculated as follows: I = $1,000 * 0.02 * 1 = $20.

For the second row, with a principal of $5,000, an interest rate of 4%, and a time period of 2 years, the interest earned is calculated as follows: I = $5,000 * 0.04 * 2 = $400.

For the third row, with a principal of $10,000, an interest rate of 3.5%, and a time period of 3 years, the interest earned is calculated as follows: I = $10,000 * 0.035 * 3 = $1,050.

For the fourth row, with a principal of $2,500, an interest rate of 1.5%, and a time period of 6 months (0.5 years), the interest earned is calculated as follows: I = $2,500 * 0.015 * 0.5 = $18.75.

For the fifth row, with a principal of $7,000, an interest rate of 2.25%, and a time period of 1.5 years, the interest earned is calculated as follows: I = $7,000 * 0.0225 * 1.5 = $236.25.

These calculations show the interest earned for different savings principals, interest rates, and time periods.

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The Mean Absolute Deviation (MAD) of the given set of numbers is 1.

The mean of the given set of numbers:

Mean = (1+1+1+...1+2+2+..+3+3+...+4+4+4+5+5)/30

Mean = 2.2

The absolute deviation of each number is the absolute value of the difference between the number and the mean.

Absolute deviation of 1 = |1 - 2.2| = 1.2

Absolute deviation of 2 = |2 - 2.2| = 0.2

Absolute deviation of 3 = |3 - 2.2| = 0.8

Absolute deviation of 4 = |4 - 2.2| = 1.8

Absolute deviation of 5 = |5 - 2.2| = 2.8

Now, take the mean of these absolute deviations:

MAD = (11×1.2+9×0.2+5×0.8+3×1.8+2×2.8)/30

MAD = 30.7/30 ≈ 1

Therefore, the Mean Absolute Deviation (MAD) of the given set of numbers is 1.

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The result after evaluating the expression is: 8

What is equations?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.

For this case we have the following expression:

13-0.75w + 8x

We must evaluate for the following values:

w = 12

x = 1/2

Substituting the values we have:

13- 0.75 * (12) + 8 * (1/2) = 8

The result after evaluating the expression is: 8

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Answer:

m= 27

Step-by-step explanation:

m° +66° +m°= 120° (vert. opp. ∠s)

Simplify:

2m° +66°= 120°

2m°= 120° -66°

2m°= 54°

Divide both sides by 2:

m°= 54° ÷2

m°= 27°

m= 27

What are vertically opposite angles?

9514 1404 393

Answer:

  24π cm²

Step-by-step explanation:

The radius and height of the cone are shown as 3 and 4, so we know the slant height is 5 (a 3-4-5 right triangle is formed by these dimensions). Then the total surface area of the cone is ...

  A = πr² + πrl = πr(r +l)

  A = π(3 cm)(3 cm +5 cm) = 24π cm² . . . . total area of the cone

_____

Additional comment

The (3, 4, 5) Pythagorean triple is one of several involving small integers that regularly appear in math problems. It is worth remembering. In case you need convincing:

  3² + 4² = 5² . . . . sum of squares of sides is square of hypotenuse

  9 + 16 = 25

The correlation close to 0, because there is no reason to believe that height and number of siblings are related to each other.

For each of the following pairs of variables, indicate whether you would expect a positive correlation, a negative correlation, or a correlation close to 0. Explain your choice. (a) Weight of a car and gas mileage: There is a negative correlation, because heavier cars tend to get lower gas mileage. (b) Size and selling price of a house: There is a positive correlation, because larger houses tend to be more expensive. (c) Height and weight: There is a positive correlation, because taller people tend to be heavier. (d) Height and number of siblings: There is a correlation close to 0, because there is no reason to believe that height and number of siblings are related to each other.

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Answer:

to simplify 3^4 you need to do 3x3x3x3 which is 3x3=9 9x9=81 so your final awnser is 81 :)

Step-by-step explanation:

The conclusion "(x)(A(x) ∨ B(x))" is false since there exist elements (e.g., 1) that satisfy B(x) but not A(x).

To show that the argument is invalid using the model universe method, we need to find a counterexample where the premises are true, but the conclusion is false.

Let's consider the following interpretation:

Domain of discourse: {1, 2}

A(x): x is even

B(x): x is odd

Under this interpretation, the premises "(x)(A(x) ∧ B(x))" and "(∃x)A(x)" are true because all elements in the domain satisfy A(x) ∧ B(x), and there exists at least one element (e.g., 2) that satisfies A(x).

However, the conclusion "(x)(A(x) ∨ B(x))" is false since there exist elements (e.g., 1) that satisfy B(x) but not A(x).

In this counterexample, the premises are true, but the conclusion is false, demonstrating that the argument is invalid using the model universe method.

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Answer: C

Step-by-step explanation:

Just trust please

The correct answer is 0.75x + 0.15y = 90 is the equation that describes the quantity of pens and pencils the glee club can purchase.

The maximum number of pens the club can purchase is 120.

The maximum number of pencils the club can purchase is 600.

Each pen costs $0.75.

Total number of pens = x

Each pencil costs $0.15

y = number of pencils

(Cost of each pen) x (Number of pens) + (Cost of each pencil) x (Number of pencils) = $90 which equals the total cost for pens and pencils.

The formula for the quantity of club pens and pencils is 0.75x + 0.15y = 90.

When 0.75x = 90

x = 90/0.75

x = 120, the club purchases the most pens.

The maximum number of pens the club can purchase is 120.

When the club purchases the most pens, 0.15x = 90

x = 90/0.15

x = 600

Hence, the maximum number of pencils the club can purchase is 600 and the formula for the quantity of club pens and pencils is 0.75x + 0.15y = 90.

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