The radius of a circle is 6.1 kilometers. What is the circle's circumference?
Use 3.14 for r and round your answer to the nearest hundredth.

Answer:

(f o h)(x) = -10x + 32

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 2x³ + 8

h(x) = ∛(12 - 5x)

(f o h)(x) is f(h(x))

Step 2: Find Composite Function

And we have our final answer!

Answer: True

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Given the information provided, we can determine the probability by dividing the number of firms with $1 million or more in income after taxes by the total number of firms in the sample.

Out of the 400 computer service firms surveyed, the number of firms with $1 million or more in income after taxes is given as 138. To calculate the probability, we divide this number by the total number of firms in the sample (400):

Probability = Number of firms with $1 million or more in income after taxes / Total number of firms

Probability = \(\frac{138}{400}\)

Simplifying the division, we find:

Probability = 0.345

Therefore, the probability that a particular firm selected has $1 million or more in income after taxes is 0.345 or 34.5%.

Based on the given options, the closest probability to 0.345 is 0.46, which is the best choice for the probability value.

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Answer:

.Jamie on a long trip to tecmxas

Greg made the smallest loss from the sale of the boat and Mike lost $350 more money than Greg. It is important to note that the money from the sale of the boat was shared in the same ratio as it was paid for, thereby ensuring that each person receives a fair share of the money.

Amount is a numerical value that is used to quantify or measure the extent, size, or magnitude of something. It is an abstract concept that can be expressed in many forms, such as numerical values, words, or symbols. Amounts can be expressed in a variety of terms, including money, weight, volume, distance, and time. Amount is related to the concept of quantity, but quantity is used to describe a greater range of values than amount.

a- Greg receives $1400, Nigel receives $1050 and Mike receives $1750 from the sale of the boat.

b Mike lost $350 more money than Greg from the sale of the boat.

c Greg made the smallest loss from the sale of the boat. He lost $400 from the sale of the boat. This can be calculated by subtracting the amount Greg paid for the boat ($1400) from the amount he received from the sale of the boat ($1400).

It is evident that the amount each of them received from the sale of the boat is in the same ratio as what they had paid for the boat. This is because they shared the money from the sale of the boat in the same ratio as they paid for the boat. This is beneficial for the three of them as it ensures that each person receives a fair share of the money from the sale of the boat.

In conclusion, Greg made the smallest loss from the sale of the boat and Mike lost $350 more money than Greg. It is important to note that the money from the sale of the boat was shared in the same ratio as it was paid for, thereby ensuring that each person receives a fair share of the money.

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For the new coordinates of point A, that is A' = (x', y'), we have:

x' = 2 . cos (180º) = 2 . (-1) = -2

y' = 10 . cos (180º) = -10

The same happens to the other points. So, for B we have :

x' = 3 . (-1) = -3

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

And for C:

x' = -3 . (-1) = 3

y' = 1 . (-1) = -1

Therefore, the new coordinates will be:

A'(-2, -10)

B'(-3, 4)

C'(3, -1)

Answer:

(2,-2)

Step-by-step explanation:

Adding 3 to the graph shifts everything towards the positive y direction by 3 unites. The new minimum will mantain the same x coordinate, and has its y raised by 3, thus is \((2; -5+3) = (2;-2)\)

Diameter of the circle in the middle = 8 ft

Radius of the circle in the middle :

\( =\tt \: \frac{Diameter }{2} \)

\( =\tt \frac{8}{2} \)

\( =\tt 4 \: ft\)

Thus, the radius of the circle in the middle = 4 ft

Area of the entire circle :

\( =\tt \pi {r}^{2} \)

\( = \tt3.14 \times 4 + 6 \times 4 + 6\)

\( = \tt3.14 \times 10 \times 10\)

\( =\tt 3.14 \times 100\)

\(\color{plum} = \tt314 \: ft\)

Thus, the area of the entire circle = 314 ft

Area of the circle in the middle :

\( =\tt \pi {r}^{2} \)

\( =\tt 3.14 \times 4 \times 4\)

\( = \tt3.14 \times 16\)

\(\color{plum} =\tt 50.24 \: ft\)

Thus, the area of the circle in the middle = 50.24 ft

Area of the shaded portion :

= Total area of the figure - Area of the circle in middle

\( =\tt 314 - 50.24\)

\(\color{plum} =\tt 263.76 \: ft\)

▪︎Therefore, the area of the shaded portion = 263.76 ft

Answer:

340

Step-by-step explanation:

147+98+70+25=340

Crew 1 more worker-days to repave the same distance, it is also clear that they required more worker-day per mile than Crew 2.

True. Crew 1 worked a total of 12 worker-day.

True. Crew 1 repaved the highway at a rate of 12 mile per day.

True. Crew 2 repaved the highway at a faster rate than Crew 1.

True. Crew 1 required more worker-day per mile than Crew 2.

True. Crew 2 repaved the highway at a rate of 1.3 worker-day per mile.

Crew 1 - 6 workers and 4 days of work = 24 worker-days to repave 2 miles of highway. This means that Crew 1 repaved the highway at a rate of 12 miles per day.

Crew 2 - 8 workers and 5 days of work = 40 worker-days to repave 3 miles of highway. This means that Crew 2 repaved the highway at a rate of 1.3 worker-days per mile.

Since Crew 2 repaved the highway in fewer worker-days, it is clear that they repaved the highway at a faster rate than Crew 1. Additionally, since it took Crew 1 more worker-days to repave the same distance, it is also clear that they required more worker-day per mile than Crew 2.

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The formula for the number of edges in a complete graph with n vertices is given by E= (n * (n-1))/2. We can simplify this expression as follows:E = (n2 - n)/2. So, the answer to the question is (N2 - 1)/2.

In a complete graph, each vertex is connected to all other vertices. Therefore, to find the number of edges in a complete graph, Kn, we need to consider the number of ways of choosing two vertices from the set of n vertices and connecting them.So, the formula for the number of edges in a complete graph with n vertices is given by E= (n * (n-1))/2. We can simplify this expression as follows:E = (n2 - n)/2So, the answer to the question is (N2 - 1)/2. Therefore, the correct option is (D).Answer in 120 wordsA complete graph is one in which each pair of distinct vertices is connected by a unique edge. The number of edges in a complete graph is determined by the number of vertices in the graph. To find the number of edges in a complete graph with n vertices, we must first consider the number of ways to choose two vertices from the set of n vertices. After that, we must connect those two vertices.

Each pair of vertices produces an edge in a complete graph, and since the edges are undirected, we must divide by two to avoid double-counting. The formula for the number of edges in a complete graph with n vertices is given by E= (n * (n-1))/2. We can simplify this expression as follows:E = (n2 - n)/2. So, the answer to the question is (N2 - 1)/2.

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Answer:

$8 for 3 pounds

cost for p pounds: 3.50p - 2.50

Step-by-step explanation:

Cost of 3 pounds:

Original cost = Cost per pound x 3

= 3.50 x 3

= 10.50

Coupon = 2.50

Final cost = Original cost - Coupon

= 10.50 - 2.50

= $8

Cost of p pounds:

Original cost = Cost per pound x p

= 3.50 x p

= 3.50p

Coupon = 2.50

Final Cost = Original Cost - Coupon

= 3.50p - 2.50

The equation of the given line is y = 3x - 6.

Equation of a line in slope intercept form is,

y = Mx + B,

where M is the slope of the line and B is the y intercept, which is the y coordinate of the point where it touches the Y axis.

Given a set of points.

Slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is,

Slope = (y₂ - y₁) / (x₂ - x₁)

Consider any two points on the line, let it be (0, -6) and (1, -3).

Slope, M = (-3 - -6) / (1 - 0) = 3/1 = 3

We already have the point (0, -6), where the line touches the Y axis.

y intercept, B = -6

Equation is y = 3x - 6

Hence y = 3x - 6 is the equation of the required line.

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3×4 + ½ ×3×4 + 1×4 + ½×3×4

12 + 6 + 4 + 6

18+ 10

28units²

The number line (d) represents the location of the fraction -3/8 on the number line

A number line is a  vertical or horizontal line that has endpoints and it is used to represent numbers at a constant interval

The fraction is given as

-3/8

The above number is a negative number and it is greater than -1

This means that the location of the number line is between 0 and -1

To plot the number line, we make use of 8 intervals between 0 and -1 ( as represented by the number lines in the options)

The third point to the left of 0 represents -3/8

This means that the number line (d) represents the location of the fraction -3/8 on the number line

Hence, the number line (d) represents the location of the fraction -3/8 on the number line

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Answer:

It is 660.4 millimeters.

Step-by-step explanation:

All you have to do is multiply 25.4 by 26.

To identify the vertical asymptotes, we have to factor the denominator. For horizontal asymptotes, we compare the degrees of the numerator and denominator.

For rational functions, there are vertical and horizontal asymptotes. To identify the vertical asymptotes, we first have to factor the denominator. After that, we should look for values that make the denominator zero. These values can be found by setting the denominator equal to zero and solving for x. The resulting x values would be the vertical asymptotes of the function.

The horizontal asymptote is the line that the function approaches as x goes towards infinity or negative infinity. For rational functions, the horizontal asymptote is found by comparing the degrees of the numerator and the denominator.

If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is y = the ratio of the leading coefficients. If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.

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Answer:

2.0864648e+15

Step-by-step explanation:

Answer:

Ok this is a long one 4,792,801,917.519956

Hope this helps! But is this for a class or were you just wondering?

Answer:

Step-by-step explanation:

According to the ratio:

Josh has 9 sweets less than John.

Use the difference to find the value of x:

John has:

Start with the 60, 60, 60 degree triangle, one of the sides are 12 so all the other sides are 12. So we have 12+12+12+9=45

The representation that is most appropriate to show the relationship between the number of chapters and the total pages of a book is given by:

Graph 1.

Before choosing the correct graph, we must classify the function as discrete or continuous, as follows:

Then the graph of each type of function is given as follows:

The input and output variables in this problem are given as follows:

The number of chapters assumes only integer values, hence the function has a discrete domain, meaning that the graph is composed by dots.

However, the first graph is correct, as the third graph has a range of input and output values that is not present on the table, while the range in the first graph is according to the table.

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Answer: the 3rd graph because it has no time data

Step-by-step explanation:

To prove the opposite, we need to show that if G is not a pseudorandom generator (PRG), then Construction 3.17 cannot be EAV-secure.

Assume that G is not a PRG, which means it fails to expand the seed sufficiently. Let's suppose that G is computationally indistinguishable from a truly random function on its domain, but it does not meet the requirements of a PRG.

Now, consider the private-key encryption scheme Π described in Construction 3.17 using G as the pseudorandom generator. If G is not a PRG, it means that its output is not sufficiently pseudorandom and can potentially be distinguished from a random string.

Given this scenario, an adversary A could exploit the distinguishability of G's output and devise an attack to break the security of the encryption scheme Π. The adversary could potentially gain information about the plaintext by analyzing the ciphertext and the output of G.

Therefore, if G is not a PRG, it implies that Construction 3.17 cannot provide EAV-security, as it would be vulnerable to attacks by distinguishing the output of G from random strings. This contradicts Theorem 3.18, which states that if G is a PRG, then Construction 3.17 achieves indistinguishable encryptions.

Hence, by proving the opposite, we conclude that if G is not a PRG, then Construction 3.17 cannot be EAV-secure.

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Answer: Each girl will receive $18.75.

Step-by-step explanation:

Given: Two girls babysat three children for five hours.

Hourly pay for each child = $2.50

Payment for 5 hours per child = \(5\times\$2.50=\$12.5\)

Payment to 3 children for 5 hours = \(3\times \$12.5=\$37.5\)

So, the amount received by each girl  = \(\dfrac{\text{Payment to 3 children for 5 hours}}{2}\)

\(=\dfrac{37.5}{2}=\$18.75\)

Hence, each girl will receive $18.75.

The probability of a head and an even number is 1/4.

Probability is the occurrence of a certain event out of the total events than can occur in a given context.

Given event is a coin is tossed and then a die is rolled.

∴ The sample space (S) is = (H,1), (T,1), (H,2), (T,2), (H,3),(T,3), (H,4), (T,4), (H,5), (T,5), (H,6), (T,6).

So, the number of sample spaces N(S) = 12.

The number of heads and an even number N(H,E) = 3.

∴ The probability of a head and an even number is = N(H,E)/N(S).

= 3/12.

= 1/4.

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A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The graphs can be described as shown below.

A.) The first graph has the y-intercept at 2. Therefore, the first graph can be described by the equation, y =5x + 2.

B.) For the second graph, the graph passes through the point (-1,0). Therefore, if we substitute the value of y as 0 in the equation y=3x+3, we will get x=-1.

Hence, the equation of the second graph is y=3x+3.

C.) For the third graph, the graph passes through the point (-1.5,0). Therefore, if we substitute the value of y as 0 in the equation y=2x+3, we will get x=-1.5.

Hence, the equation of the second graph is y=2x+3.

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Answer:

512cm²

Step-by-step explanation:

1/2bh*2 = 1/2(4)(10)(2)=40

Each triangle is 40

18*8=144

Each rectangle is 144

144+144+144+40+40=512cm²

He needs to get an exam score of 97 to get an average score of 85

On the first 4 exams of his language class, Ishaan got an average score of 82.

Let

x = the next score he needs to get an average of 85

Therefore, we have to find the total score when he takes only 4 exams. The total score can be calculated using the average for the 4 exams.

let

y = total score gotten for the average score of 82

82 = y / 4

cross multiply

y = 82 × 4

y = 328

Hence, let's use the total score for the 4 exams to find the average when he takes 5 exams.

85 = 328 + x / 5

cross multiply

85 × 5 = 328 + x

425 = 328 + x

x = 425 - 328

x = 97

Therefore, he needs to get an exam score of 97 to get an average score of 85

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