A bicycle spoke of a beach cruiser measures 10 in diameter. What is the distance that it will travel with one rotation?

Step-by-step explanation:

open the blanket B=r+z/2

shiftz/2 to the leftside

B-z/2=r

The equation of the (g • h)(n) is (g • h)(n) = -4n³ - 8n² - 24n - 20 if the g(n)=-4n- 4 and h(n)=n² +5+n.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

g(n) = -4n - 4

h(n) =  n² +5+n

(g • h)(n) = g(n)h(n)

= (-4n - 4)(n² +5+n)

= -(4n + 4)(n² +5+n)

After simplification:

(g • h)(n) = -4n³ - 8n² - 24n - 20

Thus, the equation of the (g • h)(n) is (g • h)(n) = -4n³ - 8n² - 24n - 20 if the g(n)=-4n- 4 and h(n)=n² +5+n.

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Answer:

x=2

y=1

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A. (1.5)2 = 3 which is rational.

B. Root of 41 cannot be expressed as a fraction of p/q, where p and q are integers and q not equal to 0.

C. Root of 49 = 7 which is rational.

D. 15(2) = 30 which is rational

x = 3 is the true solution to 2 ln e superscript ln 5 x baseline = 2 ln 15, using the concept of simplification.

Make something simpler by simplifying it. In mathematics, reducing an expression, fraction, or issue to a simpler form is referred to as simplification. With calculations and solutions, the problem is made simple.

In order to achieve consistency in efforts, costs, and time, procedures must be simplified. It gets rid of variation and variety that is superfluous, harmful, and unproductive. It is termed simplification to use and interpret the function in order to make it simpler or easier to grasp.

The equation can be simplified by using the fact,

ln(eˣ) = x

This gives,

2 ln(5x) = 2·ln(15)

Comparing arguments, we see that,

5x = 15

x = 3

Check if it is true or not:

2 ln(e^(ln(5·3))) = 2·ln(15)

2 ln(e^2.70805) = 2·2.70805

2 ln(15) = 5.41610

and,

2·2.70805 = 5.41610

So, it is true.

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Answer:

C; A singleton set

Step-by-step explanation:

Mathematically, when a number is non-negative; it is either positive or zero

Now, this is because 0 identifies as neither a positive or a negative number

hence, when we find the difference between the two sets, the only number that stands out unmatched is the value 0

What this mean is that we are having a set with a single number result

So we have our answer as {0}

Which is a singleton set

Answer:

23.8 i think

Step-by-step explanation:

Answer:

\(23.83\)

Step-by-step explanation:

\(--------------------------------------------\)

According to Maths3000, Rounding to 3 significant figures is probably the most common way of rounding off. Rounding the number off to 3 significant figures means you require 3 non-zero digits from the start of the number. So in example 1, 27.1258 gets rounded to 27.1 figures.\(--------------------------------------------\)

It is 23.83 because rounding by three significant figures is picking three of the last numbers, and rounding the 4th number. In this case, 6 is more than 5, so 23.82 becomes 23.83

\(--------------------------------------------\)

Hope this helps! <3

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Explanation:

Let B represent the unmarked angle on the left between angle A and the 145 degree angle.

Angle B and the 145 degree angle form a straight line of 180 degrees

B+145 = 180

B = 180-145

B = 35

Then use the fact that angles A and B form a 90 degree angle

A+B = 90

A+35 = 90

A = 90-35

A = 55

It is a good practice for a server or bartender to not take patrons' drink orders too quickly

A bartender a person who prepares or serves alcoholic and some non-alcoholic beverages from behind a bar.

Below are some of the duties or responsibilities of a bartender:

So therefore, it is a good practice for a server or bartender to not take patrons' drink orders too quickly

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Answer:

\(x^2 +6x +2=0\)

Step-by-step explanation:

The area of the composite figures are as follows;

10. Area of the trapezoids are; 96 cm², 80 cm², 96 cm², 80 cm²

Area of the rectangle at the center =  320 cm²

11. Area of the field on the left is 18,600 m²

Area of the field on the right is 11,000 m²

A composite figure is a figure that consists of two or more regular shapes.

10. The width of each trapezoid are;

(28 - 20)/2 = 4

(24 - 16)/2 = 4

The area of each trapezoid are;

The area of each of the left and right trapezoid = 4 × (20 cm + 28 cm)/2 = 96 cm²

Area of the top and bottom trapezoid = 4 × (16 cm + 24 cm)/2 = 80 cm²

Area of the rectangle at the center = 16 cm × 20 cm = 320 cm²

11. Area of ΔDEI = 0.5 × 80 m × 60 m = 2400 m²

Area of trapezoid EIGF = 0.5 × (60 m + 50 m) × (60 m + 20 m) = 4400 m²

Area of the triangle ΔAGF = 0.5 × 50 m × 80 m = 2000 m²

Area of ΔAHC = 0.5 × 40 m × (20 m + 80 m) = 2000 m²

Area of ΔABC = 0.5 × 30 m × (20 m + 80 m) = 1500 m²

Area of quadrilateral AHCB =  2000 m² + 1500 m² = 3500 m²

Area of triangle ΔCDH = 0.5 × 40 m × (80 m + 60 m) = 2800 m²

Adding together, we get;

2400 + 4400 + 2000 + 2000 + 1500 + 3500 + 2800 = 18,600

The area of composite figure is 18,600 m²\

Area of ΔEFH = 0.5 × 20 m × 40 m = 400 m²

Area of trapezoid GFHJ = 0.5 × (20 m + 40 m) (40 m  + 40 m) = 2400 m²

Area of triangle ΔAGJ = 0.5 × 40 m ×(20 m + 60 m) = 1600 m²

Area of triangle ΔABK = 0.5 × 30 m × 60 m = 900 m²

Area of trapezoid BCF_K = 0.5 × (40 m + 30 m) × (40 m + 20 m) = 2100 m²

Area of triangle ΔCIE = 0.5 × 40 m × (40 m + 40 m) =  1600 m²

Area of triangle ΔCDE = 0.5 × 50 m × (40 m × 40 m) = 2000 m²

Adding the areas together, we get;

400 + 2400 + 1600 + 900 + 2100 + 1600 + 2000 = 11000

The area of the field is 11,000 m²

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The answer is (B) 1/e.

To find the absolute maximum value of f(x) = ln(x)/x, we need to find the critical points and endpoints of the function and then evaluate f(x) at these points to determine the maximum value.

First, we find the derivative of f(x):

f'(x) = (1/\(x^2\)) * (xln(x) - 1)

Setting f'(x) = 0, we get:

xln(x) - 1 = 0

Solving for x, we get:

x = 1/e

Since f(x) is only defined for x > 0, the only critical point is x = 1/e.

Next, we evaluate f(x) at the critical point and at the endpoints of the domain of the function:

f(1/e) = ln(1/e)/(1/e) = -1/e

f(0+) = lim(x→0+) ln(x)/x = lim(x→0+) (1/x) / 1 = ∞

f(∞) = lim(x→∞) ln(x)/x = lim(x→∞) (1/x) / (1/x) = 1

Since f(x) approaches infinity as x approaches 0+, and f(x) approaches 1 as x approaches infinity, the absolute maximum value of f(x) occurs at x = 1/e, and the maximum value is f(1/e) = -1/e.

Therefore, the answer is (B) 1/e.

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Answer:

15 years old

Step-by-step explanation:

Answer: 22

Step-by-step explanation:

this problem is solved by a system of equations

Let Arthur’s current age be represented by:a

His brother’s current age will be represented by: b

The first equation will be:

a = 7 + b

The second equation will be:

a + 8 = 2b

now we solve for the equations. Plug in a = 7+b into a in the second equation.
So now we have

b+7+8=2b

Simplify:

B+15=2b

15=b

We aren’t done yet though

Arthur’s brother is 15 years old but since he is 7 years older we need to add 7 to 15

Hence, Arthur is 22 years old.

Answer:

d. 4x − 5y = 27x + 6y = 10

I hope my answer helps you.

The z-score that The z-score that corresponds to the desired level of confidence is often used when creating a confidence interval for a proportion (p).

The crucial z-value for a 98% confidence interval can be calculated by subtracting the confidence level from 1 to obtain the area in the tail and dividing it by 2 to divide the tail area equally. In this instance, (1 - 0.98), / 2, equals 0.01 / 2, or 0.005.We can find the z-score for a cumulative chance of 0.005 in the lower tail using a calculator or a conventional normal distribution table. It is estimated that the z-score is -2.33.

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The values in the range of the function are the population of deer after 1990

The function is given as:

Population of deer as a function of time t

Where t represents the number of years after 1990.

This means that:

The population is the population of deer after 1990

Hence, the values in the range of the function are the population of deer after 1990

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We can make 4 servings of chicken noodle soup using 20 oz of egg noodles.

To determine how many servings of chicken noodle soup can be made from 20 oz of egg noodles, we need to divide the total amount of noodles by the amount required for each serving.

Given that 5 oz of egg noodles are needed for one serving, we can divide 20 oz by 5 oz/serving to get the total number of servings.

20 oz ÷ 5 oz/serving = 4 servings

The serving size may vary depending on the recipe and the individual's appetite, so this calculation is an estimate. Other ingredients such as chicken, vegetables, and broth will also affect the overall serving size and number of servings.

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Jeremiah has come up with an equation, p, to calculate the price of his taxi ride in New York City. The equation p represents the total cost of the taxi ride and includes variables such as the base fare, distance traveled, and any additional fees or surcharges. The specific values and coefficients of these variables in the equation determine the final price of the taxi ride.

The equation p that Jeremiah has developed is likely a mathematical representation of the pricing structure for taxi rides in New York City. It takes into account various factors that contribute to the overall cost of the ride. These factors may include a base fare, which is the initial cost incurred upon entering the taxi, a per-mile or per-minute charge for the distance or time traveled, and any additional fees or surcharges that may apply.

The equation p can be customized based on the specific pricing regulations and rates set by the taxi service or the local transportation authority. By plugging in the appropriate values for the variables in the equation, Jeremiah can calculate the total cost of his taxi ride.

It's important to note that the exact form of the equation p will depend on the specific pricing structure and regulations in New York City. Variables such as the base fare, distance traveled, and additional fees can vary across different taxi services and jurisdictions. Therefore, Jeremiah's equation p provides a personalized way for him to estimate and calculate the price of his taxi rides.

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Jeremiah lives in New York City and takes a taxi almost everywhere he goes. In order to calculate the price of his taxi ride, Jeremiah came up with the equation P = 1. 80 x 7+2. 50, where x is the number of miles or partial miles traveled in the taxi. Explain the meaning of the constant 2. 50 as it relates to the situation.

Answer:

1. -14

2. v=10

Step-by-step explanation:

1.

- 22= - 8+k

-k-22=-8

-k=-8+22

-k=14/(-1)

k=-14

The value of x will be 0 and x = 5. The correct option is A.

The x-intercept is the point at which a line intersects the x-axis, and the y-intercept is the point at which the line intersects the y-axis.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the x-intercept(s) of the function is the quantity of 5x² - 25x.

The value of the x-intercept will be calculated as,

5x² - 25x = 0

5x( x -25) = 0

5x = 0 and x - 5 = 0

x = 0  and x = 5

Therefore, the value of x will be 0 and x = 5. The correct option is A.

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Answer:

it's x = 5

Step-by-step explanation:

got it right on the test.

The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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(3800 ÷ 1000) kg

= 3,8 kg

(3 ÷ 4)kg × 1000

= 0.75 × 1000

= 750 g

(7470 ÷ 1000) kg

= 7,47 kg

\( \)

Answer:

  b. 6,561

Step-by-step explanation:

You want to know the number of 4-digit numbers that do not contain 0.

Each of the digits may have any of 9 values. The number of possibilities is the product of the number of possibilities for each of the digits:

  9×9×9×9 = 6561

The number of possible 4-digit PINs is 6561 if none of the digits is 0.

Based on the analysis, point D at (-7, 1) is the only solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2. Therefore, the correct answer is option d) D.

To determine which point is a solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2, we can test each point to see if it satisfies both inequalities.

a) Point E at (4, -2):

Substituting the coordinates into the inequalities:

-2 > -2(4) + 10 -> -2 > -8 + 10 -> -2 > 2 (False)

-2 > (1/2)(4) - 2 -> -2 > 2 - 2 -> -2 > 0 (False)

b) Point K at (2, 3):

Substituting the coordinates into the inequalities:

3 > -2(2) + 10 -> 3 > -4 + 10 -> 3 > 6 (False)

3 > (1/2)(2) - 2 -> 3 > 1 - 2 -> 3 > -1 (True)

c) Point B at (4, 7):

Substituting the coordinates into the inequalities:

7 > -2(4) + 10 -> 7 > -8 + 10 -> 7 > 2 (True)

7 > (1/2)(4) - 2 -> 7 > 2 - 2 -> 7 > 0 (True)

d) Point D at (-7, 1):

Substituting the coordinates into the inequalities:

1 > -2(-7) + 10 -> 1 > 14 + 10 -> 1 > 24 (False)

1 > (1/2)(-7) - 2 -> 1 > -3.5 - 2 -> 1 > -5.5 (True)

Based on the analysis, point D at (-7, 1) is the only solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2. Therefore, the correct answer is option d) D.

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Answer:

The value of \(j\):

\(j = -56\)

Step-by-step explanation:

Solve for \(j\):

\(\frac{j + 42}{-7} = 2\)

-Multiply both sides by -7:

\(j + 42 = 2 ( -7)\)

\(j + 42 = -14\)

-Subtract both sides by 42:

\(j + 42 - 42 = -14 - 42\)

\(j = -56\)

So, therefore, \(x = -56\) would be the final answer.

Answer:

j = -47

Step-by-step explanation:

I think you meant  j + 42 - 2 = -7

So what I would do is first find the two number we know which would be

42 - 2 = 40

So, then the equation comes down to j + 40 = -7

So,

j = -47

Because = -47 + 40 = -7

Have a good day. :)

Hope this helps!

(brainliest would be appreciated)

Answer:

30500\(.\)

Step-by-step explanation:

104%=31,720

100%=  x

\(\frac{(31720)(100)}{104}=30500\)

The forecasted sales in August 2021, using exponential smoothing with a smoothing constant of 0.31, is approximately 52.3251 units.

Exponential smoothing is a forecasting method that assigns weights to historical data points, giving more importance to recent observations. The forecasted value for a specific period is calculated by combining the actual value for that period with the forecasted value for the previous period. The formula for exponential smoothing is:

Ft = α * At-1 + (1 - α) * Ft-1

Where Ft is the forecasted value for period t, At-1 is the actual value for the previous period, Ft-1 is the forecasted value for the previous period, and α is the smoothing constant.

Given that the forecast in April 2021 was 39 units and the monthly sales data from April to September 2021 are 48, 55, 46, 54, 53, and 52 units, we can calculate the forecasted sales for each subsequent month using the exponential smoothing formula.

Using the given values and the formula, we can calculate the forecasted sales for August 2021 as follows:

Ft = 0.31 * 52 + (1 - 0.31) * 52.3251 = 52.3251

Therefore, the forecasted sales in August 2021, rounded to at least 4 decimals, is approximately 52.3251 units.

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Given vector u = ⟨1, √3⟩  we can determine how the vectors are related by comparing their components.

To find the relationship between the vectors, we need to compare the corresponding components of each vector. In this case, we compare the first components (1 and 1) and the second components (√3 and -1). Comparing the first components, we can see that they are equal, which means the vectors have the same x-coordinate.
Comparing the second components, we can see that they are different, which means the vectors have different y-coordinates.

Based on this comparison, we can conclude that the vectors u and v are not equal since they have different y-coordinates. However, they do have the same x-coordinate. In summary, the vectors u and v have the same x-coordinate, but different y-coordinates.

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Answer:

x-y=4

and

x+y=32 is your equation

difference of two number =x-y is equal to 4

sum of two number=x+y is equal to 32

x-y=4.......(1)

x+y=32.......(2)

adding equation 1 and 2

x-y +x+y=4+32

2x=36

x=36/2=16answer

substituting value of y in equation 1

16-y=4

16-4=y

y=12 answer