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q2:
a linear function that represents the number of video games purchased at an electronics store is compared to a different linear function that represents the amount of money the store made that day. describe the key features of the functions that are needed to determine if these lines intersect.

Answer:

1.5

Step-by-step explanation:

The completed table of Ehecatl's hair length before the haircut is

Length (cm)       Percentage

 12                         60% of Ehecatl's old hair

  4                         20% of Ehecatl's old hair

 20                        100% of Ehecatl's old hair

The complete question is added at the end of this solution and as an attachment

From the question, we have the following incomplete table that can be used in our computation:

Length (cm)       Percentage

                          60% of Ehecatl's old hair

                          20% of Ehecatl's old hair

                         100% of Ehecatl's old hair

The first step is to determine the length of her hair before she cut it

The equation to calculate the new length of the hair after the cut is represented as

New length = Length of the hair before it was cut * Percentage

Substitute the known values in the above equation

So, we have the following representations

At 60%: 60% x 20 = 12cm

At 20%: 20% x 20 = 4cm

At 10%: 100% x 20 = 20cm

So, the missing values are 12 cm, 4 cm and 20 cm

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Complete question

The tape diagram shows that Ehecatl's hair, which is now 12cm long is 60% as long as it was before his haircut.

Complete the table to show different percentages of Ehecatl's hair length before the haircut.

Answer:

It's Option'A' i.e 20m=75

Step-by-step explanation:

or,m=75/20

or,m=3.75

The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

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Step-by-step explanation:

7 + x = 2x, so x = 7

Answer:

84 feet

Step-by-step explanation:

 he will need 84 ft to cover the entire garden

Answer:

38 ft of fencing

Step-by-step explanation:

The perimeter of a rectangle is 2L + 2W, where L and W are the length and width, respectively. The dimensions of the garden are given, 7 x 12 ft.

The amount of fencing needed is 2(7) + 2(12) = 14 + 24 = 38 ft of fencing

Answer:

144

Step-by-step explanation:

24 books at 6 points each would be 24 x 6 which equals 144

Answer:

They'll have 144 points if they read 24 books.

Step-by-step explanation:

6 x 24 = 144

Answer:

$3,062.50 after 5 years.

Step-by-step explanation:

The answer is 3,062.50 because 4.5% of 2,500 is 112.5 and 112.5 multiplied by 5 is 562.5 and 2,500 plus 562.5 is 3,062.50.

P.S Can I have brainliest?

The solution of the recurrence relation is \(a_n=3.2^n\)

For given question,

We have been given a recurrence relation \(a_n = 2a_{n-1}\) for n ≥ 1

and an initial condition \(a_0=3\)

Let \(a_n\) = m², \(a_{n-1}\) = m and \(a_{n-2}\) = 1

So from given recurrence relation we get an characteristic equation,

⇒ m² = 2m

⇒ m² - 2m = 0                     .........( Subtract 2m from each side)

⇒ m(m - 2) = 0                     .........(Factorize)

⇒ m = 0    or  m - 2 = 0

⇒ m = 0   or   m = 2

We know that the solution of the recurrence relation is then of the form

\(a_n=\alpha_1 {m_1}^n + \alpha_2 {m_2}^n\)  where \(m_1,m_2\) are the roots of the characteristic equation.

Let, \(m_1\) = 0   and \(m_2\) = 2

From above roots,

\(\Rightarrow a_n=\alpha_1 {0}^n + \alpha_2 {2}^n\\\\\Rightarrow a_n=0+\alpha_2 {2}^n\\\\\Rightarrow a_n=\alpha_2 {2}^n\)

For n = 0,

\(\Rightarrow a_0=\alpha_2 {2}^0\\\\\Rightarrow a_0=\alpha_2 \times 1\\\\\Rightarrow a_0=\alpha_2\)

But  \(a_0=3\)

This means \(\alpha_2=3\)

so, the solution of the recurrence relation would be \(a_n=3.2^n\)

Therefore, the solution of the recurrence relation is \(a_n=3.2^n\)

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Option C and Option D are the appropriate measurements of center and spread for the dataset.

The mean, median, and mode are three examples of center-of-data measurements.

Included in the spread measurements are range, mean deviation, variance, and standard deviation.

The given data is displayed as a box plot with the minimum, maximum, median, Q1 and Q3 values.

The median is the most accurate measurement of the middle of the data.

The interquartile range is the appropriate way to measure spread.

In conclusion, the median and interquartile range, respectively, are the most suitable measures of the data set's center and dispersion.

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Answer:

B. 0.36

Step-by-step explanation:

Given:

Right ∆ABC,

AB = 5

BC = 13.93

CA = 13

Required:

Value of sin C

SOLUTION:

\( sin(C) = \frac{opposite}{hypotenuse} \)

Opposite = 5

Hypotenuse = 13.93

\( sin(C) = \frac{5}{13.93} \)

\( sin(C) = 0.3589 \)

\( sin(C) = 0.36 \)

the answer would be B, 0.36

\(f(x) = \sqrt{2} + \frac{1}{\sqrt{2} } ( x -1) - \frac{1}{4\sqrt{2} } ( x -1)^{2}\) series about the point x0 for the given function and value of x0.

What is the definition of series in math?

Taylor series of a function f(x)at a point \(x_{0}\) will be defined as -

\(f(x) = f(x_{0} )+ \frac{f'(x_{0}) }{1 !}( x - x_{0}) + \frac{f''(x_{0}) }{2!} ( x - x_{0} )^{2} + \frac{f'''(x_{0}) }{3!} ( x - x_{0} )^{3} + .....................\)

The function we have is -

\(f(x) = \sqrt{2x} and x_{0} = 1\)

Since we need only the first three terms of the taylor series we need to find

\(f(x) = \sqrt{2x}\)

\(f'(x) = \sqrt{2} * \frac{1}{2\sqrt{x} } = \frac{1}{\sqrt2{x} }\)

\(f''(x) = \frac{1}{\sqrt{2} } * \frac{-1}{2x\sqrt{2x} } = - \frac{1}{2\sqrt{2} x\sqrt{x} }\)

putting the value of x = x0 in the above equations we get

   f (1) = \(\sqrt{2}\)

    f''(1) = \(\frac{1}{\sqrt{2} }\)

     f'''(1) = \(\frac{-1}{2\sqrt{2} }\)

putting the values

\(f(x) = f(1) + \frac{f'(1)}{1!}(x -1) + \frac{f''(1)}{2!}(x-1)^{2}\)

\(f(x) = \sqrt{2} + \frac{\frac{1}{\sqrt{2} } }{1} (x- 1) + \frac{\frac{-1}{2\sqrt{2} } }{2} (x - 1 )^{2}\)

\(f(x) = \sqrt{2} + \frac{1}{\sqrt{2} } ( x -1) - \frac{1}{4\sqrt{2} } ( x -1)^{2}\)

The first three terms of taylor series for the given function is given above

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9514 1404 393

Answer:

  (a) 6² +3² +1² +1² = 47

  (b) 5² +4² +2² +1² +1² = 47

  (c) 3³ +4² +2² = 47

Step-by-step explanation:

It can work reasonably well to start with the largest square less than the target number, repeating that approach for the remaining differences. When more squares than necessary are asked for, then the first square chosen may need to be the square of a number 1 less than the largest possible.

The approach where a cube is required can work the same way.

(a) floor(√47) = 6; floor(√(47 -6^2)) = 3; floor(√(47 -45)) = 1; floor(√(47-46)) = 1

__

(b) floor(√47 -1) = 5; floor(√(47-25)) = 4; ...

__

(c) floor(∛47) = 3; floor(√(47 -27)) = 4; floor(√(47 -43)) = 2

Answer:

x^2 - x - 6 = 0

Step-by-step explanation:

If the quadratic equation has solutions 3 and -2, then it can be factored as:

(x - 3)(x + 2) = 0

Expanding the left side of the equation, we get:

x^2 - x - 6 = 0

This is the quadratic equation that has a leading coefficient of 1 and solutions 3 and -2.

Therefore, Verne can line up his books in 4,920 more orders than Jenny can line up hers.

To calculate the difference in the number of possible orders for lining up the books, we need to find the factorial of the number of books for each person.

The number of ways Verne can line up his 7 math books is 7 factorial (7!), which is calculated as:

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1

= 5,040

The number of ways Jenny can line up her 5 English books is 5 factorial (5!), which is calculated as:

5! = 5 × 4 × 3 × 2 × 1

= 120

To find the difference in the number of possible orders, we subtract the number of ways Jenny can line up her books from the number of ways Verne can line up his books:

7! - 5! = 5,040 - 120

= 4,920

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quotient = the answer to a division problem

To divide by a fraction, multiply by the reciprocal of the fraction

reciprocal of a fraction = the numerator and denominator are reversed

First, convert "three and two thirds" into an improper fraction:

\(3\dfrac{2}{3}\)

⇒ Multiply the whole number by the denominator and add the numerator:

\(\dfrac{11}{3}\)

Now, we want to divide this number by three fifths:

\(\dfrac{11}{3}\div\dfrac{3}{5}\)

⇒ Dividing by a fraction is the same as multiplying by its reciprocal:

\(= \dfrac{11}{3}\times\dfrac{5}{3}\\\\=\dfrac{55}{9}\)

\(\dfrac{55}{9}\)

theannswer wold be 100 .33 .87

Answer:

- 15°F

Step-by-step explanation:

Answer:

When we say that an allele is "fixed," it means that a particular allele has reached a frequency of 100% in a population.

Step-by-step explanation:

Alleles are different forms of a gene that occupy the same position on homologous chromosomes. In a population, different alleles can exist for a specific gene. However, through various evolutionary processes such as natural selection, genetic drift, or gene flow, one allele may become predominant and eventually fixate within the population.

The fixation of an allele can occur through different mechanisms. For example, if a beneficial allele provides a selective advantage to individuals carrying it, it is more likely to increase in frequency and eventually become fixed in the population. On the other hand, genetic drift, which is the random change in allele frequencies due to chance events, can also lead to the fixation of an allele, especially in small populations.

Once an allele is fixed in a population, it means that all future generations will inherit that allele, and no alternative alleles will be present at that particular gene locus.

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Answer:

1.53x10^8

Step-by-step explanation:

3.4 x 4.5 = 15.3 = 1.53x10

10^4 x 10^3 = 10^7

1.53x10x10^7 = 1.53x10^8

Answer:

∠ ADE = 59°

Step-by-step explanation:

The angles in a rectangle are right angles, then

∠ ABC = 90° , that is

4x + 15 + 13x + 7 = 90

17x + 22 = 90 ( subtract 22 from both sides )

17x = 68 ( divide both sides by 17 )

x = 4

Then

∠ CBE = 13x + 7 =  13(4) + 7 = 52 +7 = 59°

Since the sides in a rectangle are parallel then

∠ ADE = ∠ CBE ( alternate angles )

∠ ADE = 59°

Answer:

I think it is 1343.69.

Step-by-step explanation:

The odds of the randomly selected student being a guy or having spectacles are 18/25.

We can use the inclusion-exclusion principle and a Venn diagram to solve this problem.

Let B be the event that the student is a boy, and G be the event that the student wears glasses. Then, we have:

P(B or G) = P(B) + P(G) - P(B and G)

From the given information, we know that:

P(B) = 10/25 = 2/5

P(G) = 12/25

P(B and G) = 4/25

Therefore,

P(B or G) = 2/5 + 12/25 - 4/25

= 18/25

So the probability that the student chosen at random is a boy or wears glasses is 18/25.

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Divide expressions and numbers using the partial quotient method.

The value in the box is 2.

The quotient is 22.

Divide:

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers. One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.

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Answer:

your answer should be 3/10

Answer:

Step-by-step explanation:

that a huge prob but yah

It is 72 because 24 * 3 = 72. The Number is 14