Evaluate and simplify the expressionwhen a = 4 and b = -1.

Answer:

n = 1/5

Step-by-step explanation:

Let's solve your equation step-by-step.

5(n− 1 /10 )= 1/ 2

Step 1: Simplify both sides of the equation.

5(n− 1 /10 )= 1 /2

(5)(n)+(5)( −1 /10 )= 1/2

(Distribute)

5n +  −1 /2 = 1 /2

Step 2: Add 1/2 to both sides.

5n +  −1 /2  +  1 /2  =  1 /2  +  1 /2

5n=1  

Step 3: Divide both sides by 5.

5n /5  =  1 /5

n=  1 /5

Answer:

\(\frac{\sqrt{3} }{4} a^2\)

Step-by-step explanation:

To find the area of an equilateral triangle, we can apply a formula.

\(A=\frac{\sqrt{3} }{4} s^2\)

\(A= area\\s=side \: length\)

The side length is given a.

Plug a in the formula as the side length.

\(A=\frac{\sqrt{3} }{4} a^2\)

Answer:

3 square root over 4 a square

Step-by-step explanation:

i like mantises! their cute funky bugs. they can turn their heads 180 degrees and are the only insect that can move their head. there are around 2,000 spices of them, most live in tropics, but 18 types are in north America. I have a praying mantis pet, and her name is creature, shes about 6 inches long!

Answer:

y = 3x - 8

Step-by-step explanation:

_______________

Answer:

Please find attached the required drawing that illustrates the given situation

Step-by-step explanation:

With a driving speed of 0.003 miles per second, which is approximately 4.83 meters per second, we have the drawing of the graph that represent the given situation which is create with Microsoft Excel and attached alongside here

The total time for the travel is approximately 2,244 second with a total distance of approximately 6.732 miles, using angles, 60° for a steep slope and 30° for a gentle slope

Answer:

4500

Step-by-step explanation:

The measure of Angle A in degrees is approximately 219.99 degrees

To find the measure of Angle A in degrees, we need to consider the given information: the circle is centered at the vertex of Angle A, the subtended arc is 4.4 cm long, and \(\frac{1}{360}\)th of the circle's circumference is 0.02 cm.

Step 1: Calculate the circumference of the circle.
Since 1/360th of the circumference is 0.02 cm, we can find the entire circumference by multiplying 0.02 cm by 360.
Circumference = 0.02 cm (360) = 7.2 cm

Step 2: Determine the proportion of the circumference that corresponds to the subtended arc.
Divide the length of the arc (4.4 cm) by the circumference (7.2 cm).
\(Proportion = \frac{4.4}{7.2} = 0.6111\)

Step 3: Calculate the measure of Angle A in degrees.
Since the proportion corresponds to the fraction of the circle's circumference, we can find the angle by multiplying this proportion by 360 degrees.
Angle A = 0.6111 (360 degrees) =219.99 degrees

The measure of Angle A in degrees is approximately 219.99 degrees.

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Answer:

He can make 8 pizzas

Step-by-step explanation:

Each pizza needs 1/2 a pound of cheese

In total he has 4 pounds of cheese

If he has 4 pounds that he can use and uses 1/2 a pound of cheese, then we can form an equation 4 pounds divided by 1/2 a pound should give us how many pizzas he can make

When dividing a whole number by a fraction, convert the division symbol to a multiplication symbol and reciprocate the number after the symbol.

4÷1/2 changes to 4×2/1

You can now work out from there. 4x2 is 8/1

8 divided by 1 is 1

Hence he can make 8 pizzas

The actual implications of giving a bone to a subject would depend on the specific context, such as the subject's identity (human or animal), the purpose of giving the bone, and the cultural or medical considerations involved.

Assuming that a randomly selected subject is given a bone, it seems that we need to consider the context and determine the implications or consequences of this action. Without further information, it is difficult to provide a specific explanation or analysis. However, we can discuss some general possibilities and considerations related to giving a bone to a subject.

1. Medical Treatment: Giving a bone could be related to medical treatment or procedures. For example, in orthopedic medicine, bones may be used for grafting or reconstructive surgeries to repair damaged or fractured bones.

2. Nutritional Benefits: Bones, such as beef or chicken bones, can be used to make broths or stocks that are rich in nutrients like collagen, calcium, and other minerals. These bone-based products are often consumed for their potential health benefits.

3. Animal Care: Giving a bone to an animal, particularly dogs, is a common practice. Bones can serve as a form of entertainment or enrichment for pets, satisfying their chewing instincts and providing dental benefits.

4. Symbolic Meaning: In certain cultures or traditions, bones can hold symbolic meanings. They may be used in rituals, ceremonies, or artistic expressions to represent various concepts, such as strength, mortality, or spirituality.It's important to note that the above interpretations are speculative and based on general assumptions. The actual implications of giving a bone to a subject would depend on the specific context, such as the subject's identity (human or animal), the purpose of giving the bone, and the cultural or medical considerations involved.

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Answer:

26.903

Step-by-step explanation:

a = 77 m

b = 72 m

c = Distance between the tugboats = 35 m

The most important aspect to have into account for a graph to be a function is that the function has a domain, and this domain has only an image in the range.

If we pass a vertical line through the function, we can check that the line will pass through this graph in only one point.

In this way, we can say that for each element of the domain, we have only one element in the range. Then, graphically, we have:

Therefore, we can say that this graph is a function.

Answer:

refer to the attachment

Answer:

d. 194481

Step-by-step explanation:

We solve this question using exponential growth rate formula

This is given as:

y = a(1 + r) ^t

Where y = Amount after time t

a = Initial amount = 160000

r = growth or increase rate = 5% = 0.05

t = time in years = 4

y = 160000(1 + 0.05)⁴

y = 160000(1.05)⁴

y = 194481

Therefore, the number of cows needed after 4 years to fulfill the requirement of the milk is 194481

Answer:

Step-by-step explanation:

I got 4 my bad if it's not right

The expression that represents how many cartons of chocolate milk Ms. Terry ordered in October is 30c, where c is the number of cartons of chocolate milk.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Given:

Total number of cases = 15,

The Number of times she ordered = 2

Each case contains c cartons of chocolate milk,

Write the equation as shown below,

Total number of cartoons = Total number of cases  × The Number of times she ordered × c

Total number of cartoons = 15 × 2 × c

Total number of cartoons = 30c

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The answer is A.) \(\frac{1}{49}\)

Hope that helps :)

Question

Farmer Jim keeps 12 hens in every cooper if farmer Jim has 20 coops

a) how many hens does she have ?

b) if every hens lays 9 eggs on Monday how many eggs will farmer Jim collect on Monday

Answer:

a) 240 hens

b) 2160 eggs

Step-by-step explanation:

a) Farmer Jim keeps 12 hens in every cooper if farmer Jim has 20 coops

Hence,

1 coop = 12 hens

20 coops = y hens

Cross Multiply

y hens = 20 coops × 12 hens/1 coop

y hens = 240 hens

Therefore Farmer Jim has 240 hens

b) We are told in question b that: if every hens lays 9 eggs on Monday how many eggs will farmer Jim collect on Monday?

From question a) we determine that the number of hens that Farmer Jim has:

240 hens

Hence,

1 hen = 9 eggs

240 hens = z eggs

z eggs = 240 hens × 9 eggs/1 hen

z eggs = 2160 eggs

Therefore, on Monday Farmer Jim will collect 2160 eggs

Binary integer variables are variables whose values consist of two values, 0 and 1.

Correct answer will be :- b. Variables with values 0 and 1.

These values are also known as bits, which are represented as 0 and 1 in computers. Binary integer variables are used in computing as a way to represent numbers, characters, and instructions. Binary integer variables are used to represent information in digital systems, because they can be used to represent any value with a single bit.

For example, a single bit can represent a number, letter, or instruction. Binary integer variables are also used in computer programming, as they can be used to represent boolean values, such as true and false. Additionally, they can be used to represent various types of data, such as numbers, characters, and images.

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Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0.

Several real-world scenarios use exponential functions, including population increase, compound interest, radioactive decay, and the spread of diseases. For instance, an exponential function may be used to simulate the expansion of a bacterial population, with the rate of increase being proportional to the population size. Similarly, compound interest, which applies the rate of interest to the principal sum across a number of periods, can be represented by an exponential function.

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0 and k translates the graph of f up when k > 0 and down when k < 0.

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Answer:

47%

Step-by-step explanation:

Answer:

47%

Step-by-step explanation:

Categorical data can be either numeric or nonnumeric.

Categorical data can be described as a type of data that can be divided into group and given labels or numerical value for the sake of identification.

Some examples of numerical data are age group, race, sex, educational level, among others.

For example, we can give numerical values like 1 for male, and 2 for female when categorizing people based on sex.

Therefore, categorical data can be either numeric or nonnumeric.

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Answer: 3.5

Step-by-step explanation:

\(a_n = a_(n-1) + a_(n-2)\)

where a_n is the number of bit strings of length n that contain a pair of consecutive 0s, a_(n-1) is the number of bit strings of length (n-1) that contain a pair of consecutive 0s, and a_(n-2) is the number of bit strings of length (n-2) that contain a pair of consecutive 0s.

To find a recurrence relation for the number of bit strings of length n that contain a pair of consecutive 0s, we can start by noting that the number of bit strings of length n that contain a pair of consecutive 0s (a_n) is dependent upon the number of bit strings of length (n-1) that contain a pair of consecutive 0s (a_(n-1)) and the number of bit strings of length (n-2) that contain a pair of consecutive 0s (a_(n-2)). This is because the last two bits of a bit string of length n can be either 00, 01, or 10. If the last two bits are 00, then the bit string of length n contains a pair of consecutive 0s and the remaining bit string must be of length (n-2). If the last two bits are 01 or 10, then the bit string of length n does not contain a pair of consecutive 0s and the remaining bit string must be of length (n-1). Therefore, we can conclude that the recurrence relation for the number of bit strings of length n that contain a pair of consecutive 0s is a_n = a_(n-1) + a_(n-2).

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Answer:

A rational number

Step-by-step explanation:

Answer:

5:6

Step-by-step explanation:

20 divided by 4 = 5

24 divided by 4 = 6

So the ratio is 5:6

Answer:

5 hours or 300 mins

Step-by-step explanation:

Answer:

Given

Let number of students who have a pet denoted by "X" And number of students who do not have a pet denoted by "Y"

Step-by-step explanation:

Ratio of students who have a pet = [100 - (X/Y * 100)]

Ratio of students who have a pet = [100 - (30/47 * 100)]

Ratio of students who have a pet = [100 - (67.8)]

Ratio of students who have a pet = 36.2

Answer:

737.48 ft^2

Step-by-step explanation:

20.6*35.8

The difference in the variability in golf scores for players on the LPGA Tour and players on the PGA Tour can be calculated by subtracting the standard deviation for the LPGA Tour from the standard deviation for the PGA Tour.

The variability in golf scores for players on the LPGA Tour and the PGA Tour can be measured using the standard deviation. To calculate the standard deviation, the squared differences between each score and the mean score must be calculated and then averaged. Then, the square root of this average must be taken.

Formula:

Standard Deviation =√((x1–μ)2+(x2–μ)2+...+(xn–μ)2)/n

Where:

x1, x2, ..., xn are the individual observations

μ is the mean

n is the number of observations

In this case, the sample of tournament scores from LPGA events showed a standard deviation of strokes and the sample of tournament scores from the PGA Tour showed a standard deviation of strokes. The difference between the two standard deviations can then be calculated by subtracting the LPGA standard deviation from the PGA standard deviation.

Therefore, the difference in the variability in golf scores for players on the LPGA Tour and players on the PGA Tour can be calculated by subtracting the standard deviation for the LPGA Tour from the standard deviation for the PGA Tour.

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Complete question

Is there any difference in the variability in golf scores for players on the LPGA Tour (the women's professional golf tour) and players on the PGA Tour (the men's professional golf tour)?

Answer:

C. T = (A - P) / (PR)

Step-by-step explanation:

A = P + PRT

A - P = PRT

(A - P) / (PR) = T

By using a bar chart or a grouped bar chart, you can visualize and compare the data across multiple categories in a single graph, making it easier to identify patterns, trends, and differences among the categories.

A bar chart is effective for comparing categorical data across different categories. It consists of rectangular bars, where the length of each bar represents the magnitude or frequency of a particular category. Each category is represented on the x-axis, and the height or length of the bars on the y-axis shows the comparison. In a grouped bar chart, multiple categories are grouped together, and each group is represented by a set of bars side by side. This type of chart is useful when you want to compare multiple categories within different groups simultaneously.

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