Anna is going to save pennies each week according to a sequence she learned.

. She has saved 3 Pennie’s to start on week 0.

. Each week after that, she will save twice the total number of Pennie’s she has saved from the previous week, minus 1.

Which recursive formula can be used to determine the number of pennies Anna will save during the nth week?

Whoever answers correctly will get Brainliest!

Answer:

|0| = 0

Step-by-step explanation:

Absolute value of a number is its value sans its sign, positive or negative i.e. for +17, it is 17 and for −17 to it is 17.

Number 0 does not have any sign and +0=−0=0. Hence, we can say that |0|=0

In the object-oriented programming paradigm, a class invariant is a property that must always be true for any instance of a class. It is a condition or a set of conditions that must be maintained by all member functions for the proper functioning of a class.

A class invariant, therefore, is a formal statement of the rules that dictate how the member variables of a class are used. All member functions (with the exception of constructors) can depend on the invariant being valid when the function is called. Each function is also responsible for ensuring that the invariant is valid when the function finishes.

The invariant represents an important constraint that must be maintained in a class. As a result, a well-defined class invariant is important for the stability and reliability of the class.

The class invariant may be a single condition or a set of conditions that need to be maintained for the class to operate correctly. These conditions may be explicitly stated in the class documentation or in the form of assert statements in the class implementation. The invariant may be as simple as a range constraint or as complex as a logical relationship between multiple variables.

In any case, the invariant must be maintained by all the member functions of the class. the invariant of a class is a set of rules that govern how the member variables of a class are used. It is a condition that must always be true for any instance of a class. The invariant is important for the stability and reliability of a class, and each member function is responsible for ensuring that the invariant is valid when the function finishes.

To know more about documentation visit:

brainly.com/question/33075157

#SPJ11

Answer:

$50,000 at 8%; $150,000 at 6%

Step-by-step explanation:

$50,000 x .08 = $4000

$150,000 x .06 = $9000

$4000 + $9000 = $13,000

Answer:

  (B)  26°

Step-by-step explanation:

The angle at A made by the radius and the tangent is 90°. The angle at O is the same as arc AB, 64°. The acute angles in a right triangle are complementary, so the angle at C is the complement of 64°.

∠ACB = 90° -64°

∠ACB = 26°

The angle is 29.1234 degree

It is an application of trigonometric by which we can find the height, distance, and angle.

(x) = 122 m

Height of lighthouse (h) = 34

The base of a lighthouse that is 34 meters above sea level (l) = 34

The angle of elevation from the boat to the top of the lighthouse.

Total height of the tower from the sea level = 34 + 34

Total height of the tower from the sea level = 68

Then

\(\begin{aligned} tan \theta &= \dfrac{Total height of tower from the sea level}{Distance between boat and light and lighthouse} \\tan \theta &= \dfrac{68}{122} \\\theta &= tan^{-1} (\dfrac{68}{122} )\\\theta &= 29.132429^{o} \\\end{aligned}\)

Thus, the angle is 29.1234 degree

More about the Height and distance link is given below.

https://brainly.com/question/10681300

16 is the answer edge 2022

The least common denominator (LCD) of the rational expressions is (x+1)(x-1).

When adding or subtracting rational expressions, we need to find a common denominator. The least common denominator (LCD) is the smallest multiple of the denominators of the rational expressions.

To find the LCD, we follow these steps:

Let's consider an example to illustrate this process:

Example:

Find the LCD of the rational expressions:

x/(x+1) and 1/(x-1)

Step 1: Factor the denominators:

x+1 and x-1

Step 2: Identify the common factors:

There are no common factors in this case.

Step 3: Take the product of the highest powers of each common factor:

Since there are no common factors, we skip this step.

Step 4: Include any unique factors:

The unique factors are x+1 and x-1.

Step 5: Simplify the resulting expression:

The LCD is (x+1)(x-1).

About least common denominator here:

https://brainly.com/question/29267309

#SPJ11

The least common denominator of the rational expressions in this problem is given as follows:

4x(x + 5).

The rational expressions for this problem are defined as follows:

9/(4x + 20), 10/(x² + 5x).

The denominators are given as follows:

The denominators can be simplified as follows:

The least common denominator is the multiplication of the unique factors, hence it is given as follows:

4x(x + 5).

The expression that completes this problem is given as follows:

9/(4x + 20), 10/(x² + 5x).

More can be learned about least common denominator at https://brainly.com/question/19249494

#SPJ4

Answer:

-----------------

Find each area and then find their difference.

The difference is:

Answer:

V = 1046.9

Step-by-step explanation:

The equation for volume is (4/3)pi r^3

substitute 3.14 in for pi and 6.3 in for r so (4/3)*3.14*6.3^3

Answer:

3/8

Step-by-step explanation:

There are 8 equal slices so each slice is 1/8th of the whole pizza

1/8+1/8=2/8 he ate right away

2/8+1/8 for what he ate before going to sleep

2/8+1/8=3/8

The height of the building is 12 feet.

Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c² = a² + b²

Given that:

Length of the ladder (hypotenuse) = 13 feet

Distance of the ladder's bottom from the house (base) = 5 feet

Let's denote the height of the house (vertical side) as 'b'.

Using the Pythagorean theorem, we have:

13² = 5² + b²

b² = 13² - 5²

b² = 169 - 25

b² = 144

Taking the square root of both sides:

b = √144

b = 12

Therefore, the value of b is 12 feets.

Learn more about Pythagorean theorem here: brainly.com/question/343682

#SPJ1

Answer:

The answer is 1.25 km = 1,250

                       1.7 cm =17 mm

                       345 m = 0.345 km K12 test.

Step-by-step explanation:

The answer is 1.25 km = 1,250

                      1.7 cm =17 mm

                      345 m = 0.345 km K12 test.

The correct answer is option 1. The version of the sample variance where you divide by n is biased.

This is because dividing by n will produce a biased downward population variance estimate. We must divide by n-1 rather than n to correct this bias. Mathematically, this can be expressed as:

Population Variance = s2 = ∑ (x - μ)2 / n Sample Variance = s2 = ∑ (x - x(bar))2 / (n-1)

In other words, we must subtract 1 from the sample size in the denominator when calculating the sample variance. This is due to the fact that the sample variance and the sample mean are both unbiased estimators of the population variance, respectively.

Learn more about Sample Variance here:

https://brainly.com/question/28542390

#SPJ4

Complete Question:

which of the following statements is true?

group of answer choices

The mean and standard deviation of the lengths of cab rides in miles is: Mean = 4.667 miles, Standard deviation = 3.778 miles

To find the mean and standard deviation of the lengths of the businessman's cab rides, we need to use the given information. The fare equation, Fare = 2.85 + 2.7 (miles), tells us that the cost of the ride is a linear function of the distance traveled.

From the given data, we know that the businessman paid a total of $15.45 at the end of the month. This total cost is the sum of the initial fee and the cost per mile multiplied by the total distance traveled. So we can set up the equation 15.45 = 2.85 + 2.7(miles) to find the mean.

Simplifying the equation, we have 12.6 = 2.7(miles), and solving for miles gives us miles ≈ 4.667. Therefore, the mean length of the cab rides is approximately 4.667 miles.

To calculate the standard deviation, we are given that the standard deviation of the total cost is $10.20. Since the total cost is determined by the distance traveled, the standard deviation of the lengths of the cab rides will also be the same. Hence, the standard deviation of the lengths of the cab rides is approximately 3.778 miles.

Therefore, the correct answer is: O Mean 4.667 miles, Standard deviation = 3.778 miles.

Learn more about Standard deviation

brainly.com/question/13498201

#SPJ11

The required graph has been attached below that represents the function y = 2 cos (x + π/4).

The cosine function has a range of values between -1 and 1, and it is a periodic function that repeats every 2π radians or 360 degrees. The graph of the cosine function is a wave-like curve that oscillates between -1 and 1, with a period of 2π radians or 360 degrees.

To plot the graph of the function y = 2 cos (x + π/4), we can follow these steps:

The coefficient of the cosine term is 2, so the amplitude is 2.

The coefficient of the angle x is 1, so the period is 2π.

The constant term is π/4, so the phase shift is -π/4.

The y-intercept occurs when x = 0, which gives y = 2 cos (π/4) = √2.

Using the amplitude, period, phase shift, and intercepts, sketch the graph of the function over one period. Then, repeat the graph every 2π to get the complete graph.

Learn more about Trigonometric functions here:

brainly.com/question/6904750

#SPJ1

Answer:

2x-10  by the distributive property of equality

Answer:

The answer is "Option A".

Step-by-step explanation:

In this, the question is missing so, we assuming the missing question is this question, which is add in attach file. please find it.

Formula for line:

\(\to \bold{y= mx+ c}\)

\(\to m= slope \\\\\to c= y-intercept\)

In the question the slope "m= 3 and y= -2" so, the line is \(y= 3x+ (-2)\).

\(\to y= 3x-2\)

To determine the number of smaller boxes that would contain the same amount of cereal as a larger box, we set the expressions representing the cereal content equal to each other. Solving the equation, we find that 15 smaller boxes are required to match the cereal quantity in the larger box.

To find the number of smaller boxes that equal the same amount of cereal in a larger box, we need to equate the two expressions and solve for n.

Setting the expressions equal to each other:

10 + 6.3n = 7 + 6.5n

Simplifying the equation:

6.3n - 6.5n = 7 - 10

-0.2n = -3

Dividing both sides by -0.2:

n = -3 / -0.2

n = 15

Therefore, 15 smaller boxes would equal the same amount of cereal as the larger box.

The problem states that the expressions 10 + 6.3n and 7 + 6.5n represent the amount of cereal in the new larger box. The variable n represents the number of smaller boxes.

To find how many smaller boxes are equivalent to the larger box, we need to set the two expressions equal to each other and solve for n. This equation represents the balance between the amount of cereal in the larger box and the combined amount of cereal in the smaller boxes.

By simplifying the equation and solving for n, we find that 15 smaller boxes are needed to equal the same amount of cereal as the larger box.

This means that if the cereal manufacturer wants to package the same amount of cereal as the larger box, they would need to use 15 smaller boxes instead. This calculation helps the manufacturer determine the number of smaller boxes needed to maintain the same quantity of cereal while changing the box size.

Learn more about expressions here:

brainly.com/question/28170201

#SPJ11

Step-by-step explanation:

$45600 - $872

=$44738

=>$44738 ÷ 12

=$3727.3°

His net monthly salary if deductions of $872 are made each month is,

⇒ $2,928

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The gross annual salary earned by a teacher is $45600.

Now, His monthly salary is,

⇒ $45,600 / 12

⇒ $3,800

Since, if deductions of $872 are made each month. ​

Then, His net monthly salary is,

⇒ $3,800 - $872

⇒ $2,928

Thus, His net monthly salary if deductions of $872 are made each month is,

⇒ $2,928

Learn more about the subtraction visit:

https://brainly.com/question/17301989

#SPJ2

After approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

The value of shares t years after their floatation on the stock market, is modelled by V = 10e0.09t

The initial value of shares = V when t = 0. So, putting t = 0 in V = 10e0.09t,

we get

V = 10e0.09 × 0= 10e0 = 10 × 1 = 10 million dollars.

The values after 5 years, 10 years and 12 years, respectively are:

For t = 5, V = 10e0.09 × 5 ≈ 19.65 million dollarsFor t = 10, V = 10e0.09 × 10 ≈ 38.43 million dollarsFor t = 12, V = 10e0.09 × 12 ≈ 47.43 million dollars

The total revenue (TR) in t years' time is modelled as TR = 10e−0.19t (in million dollars)

The current revenue is the total revenue when t = 0.

So, putting t = 0 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 0= 10e0= 10 million dollars

Revenue in 5 years' time is TR when t = 5.

So, putting t = 5 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 5≈ 4.35 million dollars

To find when the revenue of this firm is going to drop to $1 million, we need to solve the equation TR = 1.

Substituting TR = 1 in TR = 10e−0.19t, we get1 = 10e−0.19t⟹ e−0.19t= 0.1

Taking natural logarithm on both sides, we get−0.19t = ln 0.1 = −2.303

Therefore, t = 2.303 ÷ 0.19 ≈ 12.13 years.

So, after approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

Know more about revenue:

https://brainly.com/question/27325673

#SPJ11

Answer:

81,000

Step-by-step explanation:

Answer:

Step-by-step explanation: degrees always equal to 180. So x = 90 degrees.

Answer:

90 degree

Step-by-step explanation:

triangle rule all angles add upto 180 degree  so  180-55-35 = 90 degree so x  = 90 degree

Answer:

which class question and plz say subject also

Answer: There are infinitely many.

For example, 5314410.5 or 93. You are probably looking for (3)^6 tho

Answer:

Step-by-step explanation:

\(8x-x\\\mathrm{Add\:similar\:elements:}\:8x-x=7x\)

Answer:

7x

Step-by-step explanation:

it is quite clear and also very easy look...

8x -1x = 7x

                 whenever it's only x, p y etc. remember it is always 1x, 1p, 1y etc. and then just do the operations

so easy hope you found it helpful

plz rate and mark the brainliest if you found it helpful....

The sequence of the original DNA molecule, read 5' to 3', is 3' CTGTCCTAG 5'.

The Sanger sequencing method is a technique used to determine the nucleotide sequence of DNA. In this method, the DNA molecule is fragmented into different lengths and each fragment is then replicated using DNA polymerase and a mixture of regular nucleotides and dideoxynucleotides (ddNTPs). The ddNTPs lack a 3' hydroxyl group, preventing further DNA chain elongation after their incorporation.

In the given chromatogram, the sequence trace reads 5' GTCACGGATC 3'. The sequence is read in the 5' to 3' direction, which means that the first nucleotide in the sequence corresponds to the 5' end of the original DNA molecule.

To determine the original DNA sequence, we need to complement and reverse the given sequence. The complementary base pairing rules state that adenine (A) pairs with thymine (T) and cytosine (C) pairs with guanine (G). Complementing the sequence gives us 3' CAGTGCCGTA 5'. Reversing this sequence yields the final result of 3' CTGTCCTAG 5', which represents the original DNA sequence read from 5' to 3'.

Learn more about: Sanger sequencing

brainly.com/question/28174336

#SPJ11

Option A, which is 4 x 15 + 1 - 5 x 4 x 1, is the correct expression that is equal to 45 x 4 + 5.

To show this, we can simplify the expression as follows:

4 x 51 + 1 - 5 x 4 x 1

= 204 + 1 - 20

= 205 - 20

= 184

Then, we can check if 185 is equal to 45 x 4 + 5:

45 x 4 + 5

= 180 + 5

= 185

Since 185 is equal to 185, it is concluded that an expression that is "equal to" 45 x 4 + 5, is held by option A.

You can learn more about equivalent expression at

https://brainly.com/question/30429467

#SPJ4

B. Due to the fact that ABCD has at least two parallel sides in one pair.

The y-coordinates of the two points A(-3, 1) and D(5, 1) are identical.

Then

The x-axis and the line AD are parallel.

As opposed to that,

The y-coordinates of the two points B(1,5) and C(5,5) are identical.

Then

The x-axis and the line BC are perpendiculars.

We discover:

• AD lies along the x-axis.

BC is perpendicular to the x-axis.

Therefore

AD / BC

Conclusion:

Due to the fact that ABCD contains at least two parallel sides in one pair.

Know more about coordinates at:

https://brainly.com/question/28108706

#SPJ4

T is the linear transformation described by T(w,z) in L(C2). This indicates that the linear transformation T changes two-dimensional vectors of the type (w,z) to (-z,w).

To get T's eigenvalues, solve the equation T(v) = v, where is the eigenvalue and v is the eigenvector. By solving this equation, we discover that T's eigenvalues are λ1 = -1 and λ2 = 1.

For each eigenvalue, the associated eigenspaces are the subspaces of C2 that are spanned by the eigenvectors of T. The eigenspace is the subspace covered by the eigenvector λ1= -1 is (1,0). The eigenspace is the subspace spanned by the eigenvector λ2= 1 is (0,1).

As a result, the subspaces covered by (1,0) and (1,1) are the generalized eigenspaces corresponding to the different eigenvalues of T. (0,1).

Learn more about eigenvalues here:

https://brainly.com/question/15423383

#SPJ4