If f(x) =(1/7)(7x)what is (3)?
?

Answer:

30

Step-by-step explanation:

The way to figure out the average rate of change is to divide the change in f(x) and divide that by the change in x. A formula for this is \(\frac{f(x_{1})-f(x_{2})}{x_{1}-x_{2}}\)
1.) By this definition, we need to figure out our x1 and x2. We can say the x1 = 3 and x2 = 1
2.) Next, we plug it into the formula. We will get \(\frac{f(3)-f(1)}{3-1}\).

3.) If we simplify, we will get 10(2)^3 - 10*2 divided by 2, which is equal to 10*4 - 10 = 30.

Answer:

n + 5

Step-by-step explanation:

"Sum" is the result of an addition.

The sum of n and 5 means the addition of n and 5.

Answer: n + 5

Answer:

7 and 10

Step-by-step explanation:

7 * 10 = 70

7 + 10 = 17

Answer:

10 and 7

Step-by-step explanation:

call them a and b, respectively

so a*b=70 -> b=70/a

a+b=17 ->a+70/a=17 ->a=10 b =7

Answer:

Please review each attachment for a detailed explanation

Answer:

Option C

Step-by-step explanation:

Zeros of a function are also called as x-intercepts of a function, which means where the graph/function intersects the x-axis.

In the image we see the graph intersects the x-axis at three points

x=0 , x=2 , x=4 so our answer is option C

The roots or zeros of the graphed function f(x) are 0, 2 and 4.

The x - intercepts of the graph of the function gives the zeros of the function. It is at this value that the dependent variable [y] is zero.

Given is a graph of a function f(x).

The graph of the function f(x) is shown. The total number number of x - intercepts will tell us about the degree of the function which is equal to three. The degree of a function also represents the total number of possible solutions or zeros of the function and the values of the x - intercepts will be the zeros of the function. The graph of the function cuts the x - axis at x = 0, x = 2 and x = 4.

So, we can conclude that the graph has a degree of 3 and the possible roots or zeros of this function f(x) are x = 0, x = 2 and x = 4 repsectively.

Therefore, the roots or zeros of the graphed function are 0, 2 and 4.

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Answer:

still a square units.

Step-by-step explanation:

Answer:

80 points

Step-by-step explanation:

If score in English is x points and score in math is 5% higher then score in math

y = x + 0.05x

where 0.05 = 5% expressed as decimal

0.05x refers to the 5% increase in score

y = math score

y = x(1 + 0.05)

y = 1.05x

Given score in math = 84 this becomes

84 = 1.05x

x = 84/1.05

x = 80

So Emily's score in English was 80 points

The statement refers to the way that symbols are represented in sequences, a common practice in formal language theory, by employing a notation that makes symbols a part of the sequence.

In formal language theory, a language is often defined as a set of strings over an alphabet. By representing any alphabetic sequence of symbols as a single string using the notation outlined in the statement, we are able to recognise the language that comprises that sequence as a collection of strings. A subset of the language having all possible strings over the alphabet (a, b, and c) is the set of strings abc, which may be used to represent the language including the sequence (a, b, and c). So, this notation offers an easy approach to discuss languages and the sequences that make up such languages.

Hence, the statement relates the symbols and sequences.

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See below for the examples of combinations

Combinations are instances where items and objects are chosen or selected from a collection or group of items and objects such that the order in which the items and objects are selected does not matter

There are several applications of combinations in our daily activities.

Some of them include:

An example of combination with repetition is the selection of a food item from a food menu

While an example of combination without repetition is the selection of students to represent the school in a debate competition

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Answer:

The probability that a randomly selected subject had no hepatitis C is P=0.77.

Step-by-step explanation:

To calculate the probability of randomly selecting a subject and that he or she has no hepeatitis C can be calculated as the proportion of subjects with true negative results out of the total subjects tested.

The true negative results include the true negative and the false positives.

There are 337 positive results (P) and 1163 negative results (N).

The false positives (FP) are 2.

The true positives (TP) are 337-2=335.

The false negatives (FN) are 10.

The true negatives (TN) are 1163-10=1153.

Then we can calculate the proportion as:

\(p=\dfrac{TN+FP}{P+N}=\dfrac{1153+2}{337+1163}=\dfrac{1155}{1500}=0.77\)

The probability that a randomly selected subject had no hepatitis C is P=0.77.

Answer:

28mpg

Step-by-step explanation:

eric uses 7 gallons

drive=196 miles

196miles ÷ 7 gallons = 28mpg

eric can drive 28 miles using 1 gallon of gas

Answer:

y = x + 60

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line

m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1

the line crosses the y- axis at (0, 60 ) ⇒ c = 60

y = x + 60 ← equation of line

a) The mean of the data-set is of 2.

b) The range of the data-set is of 4 units, which is of around 4.3 MADs.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations in the data-set, which is also called the cardinality of the data-set.

The dot plot shows how often each observation appears in the data-set, hence the mean of the data-set is obtained as follows:

Mean = (1 x 0 + 5 x 1 + 3 x 2 + 5 x 3 + 1 x 4)/(1 + 5 + 3 + 5 + 1)

Mean = 2.

The range is the difference between the largest observation and the smallest, hence:

4 - 0 = 4.

4/0.93 = 4.3 MADs.

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The exponential function that can model the county population, y, x decades after Tiana was born, is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 in 6.6 decades after Tiana was born.

The definition of the exponential function is presented as follows:

\(y = a(b)^x\)

In which the parameters of the exponential function are presented as follows:

In the context of this problem, the values of these parameters are given as follows:

Hence the function is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 when y = 600000, hence:

\(y = 641000(0.99)^x\)

\(600000 = 641000(0.99)^x\)

\((0.99)^x = \frac{600000}{641000}\)

\(\log{(0.99)^x} = \log{\left(\frac{600000}{641000}\right)}\)

\(x\log{0.99} = \log{\left(\frac{600000}{641000}\right)}\)

\(x = \frac{\log{\left(\frac{600000}{641000}\right)}}{\log{0.99}}\)

x = 6.6 decades.

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Answer:

33× w^3 × w^2 or

33w^5

Step-by-step explanation:

Let the unknown variable be w

\(33\times w^3\times w^2\)

Simplify

\(=33w^5\)

Answer:

33w^3 w^2

Step-by-step explanation:

The ^3 is supposed to cube the first w

and ^2 is supposed to square the second w

150 Inches... NEEERRRD

The (A ∪ B) ∩ (A ∪ C) ∩ (B ∪ C) ∩ (B ∩ C) ∩ C is an empty set {}.To find the sets A ∪ B, A ∩ B, A ∪ C, A ∩ C, B ∪ C, and B ∩ C, we can perform the following operations:

A ∪ B: The union of sets A and B includes all unique elements from both sets, resulting in {10, 11, 12, 13, 14, 16}.

A ∩ B: The intersection of sets A and B includes only the common elements between the two sets, which are {10, 12}.

A ∪ C: The union of sets A and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 13}.

A ∩ C: The intersection of sets A and C includes only the common elements, which is {10, 11}.

B ∪ C: The union of sets B and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 14, 16}.

B ∩ C: The intersection of sets B and C includes only the common elements, which is an empty set {} since there are no common elements.

Finally, performing the remaining operations:

(A ∪ B) ∩ (A ∪ C): This is the intersection of the union of sets A and B with the union of sets A and C. The result is {10, 11, 12, 13} since these elements are common to both unions.

(B ∪ C) ∩ (B ∩ C): This is the intersection of the union of sets B and C with the intersection of sets B and C. Since the intersection of B and C is an empty set {}, the result is also an empty set {}.

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Answer:

217648314.791

Step-by-step explanation:

Answer:

217648314.791

Step-by-step explanation:

Multiply first and then divide and then you add the numbers together.

Answer:

3.5

Step-by-step explanation:

I recommend using a calculator. Divide 7/2.

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

Let A represent the number of students reading Accountancy, S represent the number of students reading Sociology, and F represent the number of students reading French.

Let X be the number of students reading all three.

From the information given:

A ∩ S = 19

A + S - 27 = 120 - 53 + 19 = 86 (number of students reading Accountancy or Sociology but not French)

S - A - X = 27

S + F - X = 53

F - X = 19

A - X = 86 - 19 = 67

Total = A + S + F - (A ∩ S) - (A ∩ F) - (S ∩ F) + X = 120

Solving, we get X = 6, A = 73, S = 52, F = 25.

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

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Answer:

System 1 has an infinite number of solutions and System 11 has no solution.

Step-by-step explanation:

System 1:

x = y - 3

x - y = -3

2x - 2y = -6

Divide above by 2:

x - y = -3

So the 2 equations are identical

and they have an infinite number of solutions.

System 11:

5x + 2y = -7

15x + 6y = 21

Divide the above by 3:

5x + 2y = 7

Comparing this to the first equation the left sides are the same but right sides are different ( -7 and  7)/

There is no solution to this system.

The statistical information is that in 1990, there was 150 auto theft per population over 178 cities.

The information also shows that 50% of the cities had a theft rate of less than 117 per population while the reaming 50% of the cities had a rate above that level.

A standard deviation of 12 means that individual cities could have had crime rates as low as 114 and as high as 186.

In 2010, the crime rate over 178 cities averaged 125 per I lakh population. The remaining half had a theft rate of less than 123 while the reaming half recorded a rate above that level.

A standard deviation of 7 means that individual cities could have had crime rates as low as 104 and as high as 146.

On a comparative note, both the average and standard deviation recorded a significant reduction. The standard deviation experienced a huge reduction of more than 40%. This means that the combined measure came down from 8.14% in 1990 to 5.6% in 2010.

The shape of the distribution depicts a sizable shift to the left along with an appreciable compression of the spread.

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Answer:

R = 0.862

Strong positive relationship

Step-by-step explanation:

Given the data:

Test Chemistry Student Score,

x Grade, y

1 2 3 4 5 6 7 8 9 10 11 12

Score,x = 65 50 55 65 55 70 65 70 55 70 50 55

Grade, y = 85 74 76 90 85 87 94 98 81 91 76 74

Using technology :

The CORREL function in excel, calculators will give accurate value of the correlation Coefficient between two variables, x and y. The correlation Coefficient obtained using technology is : 0.862

The correlation Coefficient value ranges between (-1 and 1) with values closer to either - 1 or 1 reflecting stronger relationship. A value of 0 means there is no relationship between the variables. Negative values indicate negative relationships while positive indicates positive association between the variables.

Therefore. With a correlation Coefficient of 0.862, the correlation Coefficient can be interpreted as meaning that ; there is a strong positive relationship between score and grade.

Answer:

the funtion does not satisfies the hypothese f(a)=f(b), just because when evaluate f(0) = 1 and when evaluate f(2) = 11,

Answer:

c

Step-by-step explanation:

Answer:

yes, your friend is correct

Step-by-step explanation:

14 x 4 = 56 and 25 x 4 = 100

56

------ = 0.56 in decimal form

100

The students expected to like soda are 324

from the question, we have the following parameters that can be used in our computation:

150 students out of a total of 800 students on campus did not like soda.

This means that

650 students out of a total of 800 students on campus like soda.

i.e. 800 - 150 = 650

When half of the students are considered, we have

Soda = 650/2

Evaluate

Soda = 325

Hence, the number of students is 325

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We can expect a student to guess 17 correct answers on a test with 68 four-choice multiple choice questions with probability 0.25.

Since the probability of guessing the correct answer to a four-choice multiple choice question is 0.25, the probability of guessing an incorrect answer is 1 - 0.25 = 0.75.

We can model the number of correct guesses as a binomial distribution with n = 68 (the number of trials) and p = 0.25 (the probability of success, i.e., guessing correctly).

The expected value of a binomial distribution is given by the formula:

E(X) = n * p

So, in this case, the expected number of correct answers that a student should guess on the test is:

E(X) = 68 * 0.25 = 17

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Using area formula,

a. Area of the trapezium = 47.5m².

b. Area of parallelogram = 54inches².

The area of a thing is the amount of space it occupies in two dimensions. It is a way to count how many unit squares completely round the surface of a closed figure. The standard unit of area is the square unit, which is usually expressed as square inches, square feet, etc.

a. Sides of the trapezium are, a = 5m and b = 14m.

Height, h = 5m.

Area of the trapezium = (a+b)/2 × h

= (5 + 14)/2 × 5

= (19× 5)/2

= 95/2

= 47.5m².

b. Height of parallelogram = 6inches.

Base of parallelogram = 9inches.

Area = b × h

= 6 × 9

= 54inches².

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