What’s the answer to this question?

Answer:

Second choice : -3, 11, -45, 179

Step-by-step explanation:

First term: a₁ =  - 3

Second term a₂ = -4a₁ -1 = (-4)(-3) - 1 = 12 - 1 = 11

There are only two options with 11 as the third term, Options 2 and 4 look the same but the fourth option has curly braces around the numbers making it a set rather than a sequence

If you wanted to be sure and compute the third term to see if it matches

a₃ = -4a₂ - 1 = -4(11)- 1 = -44 - 1 = -45

The business records related amounts in their respective accounts known as ledger accounts.

All such accounts are assembled in a book or collection called the

ledger.

All the accounts, including assets, liabilities, equity, revenues, and expenses, that are required to adequately portray a company's financial operations are included in the General Ledger.

Financial statements like the balance sheet, income statement, and cash flow statement are created from the accounts in the general ledger and offer an overview of the company's financial situation.

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A non-fruitful function which makes a turtle draw an equilateral triangle is given in the explanation.

Here is an example of a non-fruitful function in Python that takes a turtle object and a size as arguments and makes the turtle draw an equilateral triangle:

import turtle

def draw_triangle(some_turtle, some_size):

   for i in range(3):

       some_turtle.forward(some_size)

       some_turtle.left(120)

# Create a turtle object

t = turtle.Turtle()

# Call function to draw an equilateral triangle of size 100

draw_triangle(t, 100)

# Hide turtle and exit the turtle window

turtle.done()

This function makes the turtle move forward by some_size units and turn left by 120 degrees three times, resulting in a triangle with three equal sides and three 60-degree angles.

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Answer:

$29

Step-by-step explanation:

Since the gifts are matching, the cost of each gift be equal, say $x
Now, Total cash - cash leftover = cost of both gifts
which is, 75 - 17 = 2x
or $58 = 2x
Thus, x would be 58/2 = $29
Or each gift would cost $29

Answer: x1= -3, x2=3

Step-by-step explanation:

3xlxl=8+1

3xlxl=9

lxl=3

x=3

=-3

solution

x1= -3, x2=3

After 3 years, Beth's investment will be worth $1,281.216.

What is percentage ?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used.

The formula to calculate the future value of an investment is:

FV = PV * (1 + r/n)^(nt)

where:

PV = present value = $1,000

r = annual interest rate = 8.25%

n = number of compounding periods per year = 12 (monthly)

t = number of years = 3

FV = $1,000 * (1 + 0.0825/12)^(12 * 3)

Plugging in the values and using a calculator, we get:

FV = $1,000 * (1 + 0.0825/12)^(12 * 3) = $1,000 * (1.006866)^36 = $1,000 * 1.281216 = $1,281.216

So after 3 years, Beth's investment will be worth $1,281.216.

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The equality held at the value t is equal to 2.4494.

In mathematics, equality is a relationship that states that two quantities have the same value or that two mathematical expressions reflect the same mathematical object. A = B is the symbol for the equality of A and B, and it is also pronounced as A = B. The "equals sign" is the symbol "=". It is claimed that two objects are distinct if they are not equal.

Example- The perimeter of a square is equal to four times its side length, i.e. P = 4 x side.

Equations in one variable: 4x + 26 = 6x + 10.

The given equality is-

[tex]< t^3-6t,0.33333t^2+4 > = < 0,6 > \\\\t^3-6t=0\\0.333333t^2+4=6\\\\t^3=6t\\t^2=6\\\\0.333333(6)+4=6\\2+4=6\\6=6\\\\t^2=6\\\\t=\sqrt6[/tex]

Hence, the equality held at the value t is equal to 2.4494.

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Answer:

x = -6

Step-by-step explanation:

x/15 + 3/15 = -1/5

x/15 + 1/5 = -1/5

x/15 = -2/5

x = -6

Let's check

-6/15 + 3/15 = -1/5

-3/15 = -1/5

-1/5 = -1/5

So, x = -6 is the correct answer.

Therefore , the solution of the given problem of input and output comes out to be methods for Fixing an Input-Output Table begin with the very first input.

The function generates an output value by using an input value, such as x = 3, as an example. If you substitute 3 for the number x in the equation y = x + 5 y = x + 5, you get y = 3 + 5 = 8 y = 3 + 5 = 8. So, y = 8.

Here,

The output value is as follows.

Both the value of the final goods and services produced and the value added at each stage of production can be used to calculate total output.

An input-output table's governing principle is the mathematical operation or operations that are applied to the input to yield the desired output. The rule can be very basic, like adding 1, or quite complex, like squaring the amount and taking 17 out.

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[tex]$\frac{2}{7}[/tex] fraction of the total distance to her grandmother’s house traveled on Sunday.

Joanie's family traveled [tex]$\frac{2}{7}[/tex] of the distance to her grandmother’s house on Saturday.

They traveled [tex]$\frac{2}{5}[/tex] of the remaining distance on Sunday.

Let us consider the total distance to be 1.

Then subtract the distance traveled on Saturday from the total distance to calculate the remaining distance.

On subtracting we get the remaining distance:

Remaining distance = [tex]$\frac{7}{7} - \frac{2}{7}[/tex]

Remaining distance = [tex]$\frac{5}{7}[/tex]

Here we have to determine the fraction of the total distance to her grandmother’s house traveled on Sunday.

They traveled [tex]$\frac{2}{5}[/tex] of the remaining distance on Sunday.

To calculate the [tex]$\frac{2}{5}[/tex] fraction of the remaining distance we have to multiply both the fractions.

On multiplying we get:

[tex]$=\frac{5}{7} \times \frac{2}{5}[/tex]

[tex]$= \frac{2}{7}[/tex]

Therefore the distance traveled on the Sunday is  [tex]$\frac{2}{7}[/tex] a fraction.

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According to elementary algebra, time t has values of 3 and 1 seconds, respectively.

Polynomial equations are those created by combining variables, exponents, and coefficients. The higher exponent, known as the degree of the equation, might have several exponents.

A polynomial expression equal to 0 is the basis of a polynomial equation. For instance, since 3x² - 5 is a polynomial expression, 3x² - 5 = 0 is a polynomial equation.

Quadratic equations are two-variable, degree-two polynomial equations of the form f(x) = [tex]ax^{2}[/tex] + bx + c = 0 and with the variables a, b, c, and R R and a = 0.

With "a" denoting the leading coefficient and "c" denoting the absolute term of f, it is a quadratic equation in its general form (x).

Knowing that h = 15 m, we can enter that number into the equation to find t:

15 = 20t - [tex]5t^{2}[/tex]   Let's set the equation equal to 0 to solve

-[tex]5t^{2}[/tex] + 20t - 15 = 0 Let's factor out a -5 to simplify the equation

-5(t2 - 4t + 3) = 0  0/-5 is still 0

[tex]t^{2}[/tex] - 4t + 3 = 0   Let's find factors for this solution

(t -3)(t - 1) = 0   We have 2 solutions for this equation

t = 3, t = 1

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The total sound level at the point is 100 dB (10 dB x 10 speakers).

The formula for calculating the sound level emitted by each speaker is 10 * log (100 / 10) = 10 dB. This means that each speaker emits a sound level of 10 dB.

To calculate this, we first need to understand the principle of the logarithmic addition of sound levels. The logarithmic addition of sound levels states that when two sound waves with different amplitudes overlap, the resulting amplitude is the sum of the logarithms of the individual amplitudes.

For example, let's say we have two sound waves with amplitudes of 10 dB and 20 dB. The resulting amplitude will be 10 * log (10 + 20) = 10 * log (30) = 10 dB + 20 dB = 30 dB.

Therefore, in our example, the 10 speakers each emit a sound level of 10 dB. This means that when all 10 speakers play simultaneously, the total sound level at the point is 100 dB (10 dB x 10 speakers).

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The probability that the sum of the numbers on the dice facing up add up to 3 is 1/18 and VAR(A)= 1

Probability is defined as the likeliness of an event to occur. The probability of any event to occur ranges from 0 to 1, and the sum of all the probabilities of all the events happening is 1.

probability = desired outcome / total outcomes

A 6-sided dice has numbers 1, 2, 3, 4, 5, 6 at each of the 6 sides.

The event of rolling two fair 6-sided dice, which the numbers on the dice facing up add up to 3, is by having (1, 2) or (2, 1).

probability = desired outcome / total outcomes

probability = 2 / (6 x 6)

probability = 2 / 36

probability = 1/18

VAR(A)= 1

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(a)The percentage error is 0.123%.

(b)The percentage error is 0.049%.

Find the equation of the tangent line at the point (0,f(0)),

⇒ f(x)  = exp(x/500)
⇒ f'(x) = 1/500 exp(x/500)

⇒ f(0) = exp(0/500)

          = 1

So the equation of the tangent line at x = 0 is,

⇒ y = f(0) + f'(0)(x - 0) y

      = 1 + 1/500x y

      = x/500 + 1

Find the equation of the tangent line at the point (100,f(100)),

⇒ f(x)  = exp(x/500)

⇒ f'(x) = 1/500 exp(x/500)

⇒ f(100) = exp(100/500)

             = exp(1/5)

So the equation of the tangent line at x = 100 is,

⇒ y = f(100) + f'(100) (x - 100)

⇒ y = e^(1/5) - (1/500)(x - 100)

⇒ y = -x/500 + exp(1/5) + 1

Now we can use these two equations to approximate the function f(x) for 0 < x < 100.

For example, when x = 25

⇒ y = x/500 + 1

⇒ y = 25/500 + 1

⇒ y = 1.05

And the actual value of f(25) is,

⇒ f(25) = exp(25/500)

⇒ f(25) = exp(1/20)

⇒ f(25) ≈ 1.0513

So the percentage error is,

⇒ |1.05 - 1.0513| / 1.0513 x 100% ≈ 0.123%

We can repeat the process for x = 50 and find that the percentage error is 0.049%.

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830.72 sq in of wrapping paper does Tiana need to buy.

What is surface area of a cylinder?

The formula for the surface area of a cylinder is

SA = 2πr^2 +2πrh = 2πr(r +h)

To find the total area of wrapping paper needed for one box, Tiana needs to add up the area of each of the six sides. The area of the top and bottom is,

22.2 inches * 4.8 inches = 106.56 square inches.

The area of each of the four sides is 14 inches * 22.2 inches = 308.8 square inches.

So, the total area of wrapping paper needed for one box is,

106.56 + 308.8 = 415.36 square inches.

Since, Tiana needs to wrap 2 boxes, she needs to buy twice that amount, which is 2 * 415.36 = 830.72 square inches.

Rounding to the nearest hundredth, Tiana needs to buy 830.72 sq in of wrapping paper.

Hence, 830.72 sq in of wrapping paper does Tiana need to buy.

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Answer:

[tex]\frac{1}{4y^9}[/tex]

Step-by-step explanation:

using the rule of exponents

• [tex]\frac{a^m}{a^n}[/tex] = [tex]\frac{1}{a^{(n-m)} }[/tex]

[tex]\frac{y^{-3} }{4y^{6} }[/tex]

= [tex]\frac{1}{4}[/tex] × [tex]\frac{y^{-3} }{y^6}[/tex]

= [tex]\frac{1}{4}[/tex] × [tex]\frac{1}{y^{(6-(-3))} }[/tex]

= [tex]\frac{1}{4}[/tex] × [tex]\frac{1}{y^{(6+3)} }[/tex]

= [tex]\frac{1}{4y^9}[/tex]

Answer:

$75

Step-by-step explanation:

3/4 -tuition

4/4-3/4=1/4 1/3×1/4=1/12 -books

1/12+1/4=1/3 1-1/3= 2/3 -left which is equal to $50

2/=$50

1=

1×3/2×$50= $75

Answer:

[tex]5 \leqslant 20 - 1.3x < 10[/tex]

Answer:

If you have one x2-block and 2n x-blocks, you need to add (2n)^2 1-blocks to form a square. The dimensions of the square will be (x2-block + 2n x-blocks) x (x2-block + 2n x-blocks) = (2n+2) x (2n+2) = (2n + 2)^2.

The smaller side of the triangle from missing sides is 63cm.

What is a triangle?

In Geometry, triangles are the type of polygons, which have three sides and three vertices. This is a two-dimensional figure with three straight sides. A triangle is considered a 3-sided polygon. The sum of all the three angles of a triangle is equal to 180°. The triangle is contained in a single plane. Based on its sides and angle measurement, the triangle has six types.

Based on the sides of a triangle, a triangle is classified into 3 types, namely:

Scalene Triangle – All the sides are of different measures.

Isosceles Triangle – Two sides of a triangle are of the same measure and the remaining side has a different measure.

Equilateral Triangle – All the 3 sides of a triangle are of the same measure.

Based on the angles of a triangle, a triangle is classified into 3 types, namely:

Acute Angle Triangle – All the angles of a triangle is less than 90°.

Obtuse Angle Triangle – One of the angles of a triangle is greater than 90°.

Right Angle Triangle – One of the angles of a triangle is equal to 90°.

Now,

According to Pythagorean theorem,

H^2=P^2+B^2

Where H=hypotenuse, B=base, P=Perpendicular

Given base=16

let perpendicular=x then hypotenuse=x+2 as  The lengths of the other two sides are consecutive odd integers

Therefore, (x+2)^2=x^2+16^2

x^2+4+4x=256+x^2

x=63 and x+2=65

Hence,

          The smaller side of the triangle from missing sides is 63cm.

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Step-by-step explanation:

8/2 = 48/b

4=48/b

b=48/4

b=12

Answer:

Step-by-step explanation:

8/2 = 48/b

b = 48×2/8

b = 12

Answer

percentage= 100

a. 10% of 70

10/100 × 70 = 7

b. 10% of 110

10/100 × 110 = 11

c. 25% of 160

25/100× 160 = 40

d.25% of 48

25/100 × 48 = 12

e. 50% of 90

50/100 × 90 = 45

f. 50% of 350

50/ 100 × 350 = 175

g.75% of 300

75/100 × 300 = 225

h. 75% of 48

75/100 × 48 = 36

Answer:

The equation of the line is y = -3x + 5.

Step-by-step explanation:

y - y1 = m(x - x1)     where m = the slope and (x1, y1) is the given point

So here we have:

y - (-1) = -3(x - 2)

y + 1 = -3x + 6

y = -3x + 5.

The area of the cylinder is 3, 399. 74 square centimeters

The formula for calculating the area of  a cylinder is expressed with the equation;

A = 2πrh + 2πr²

Given that the parameters are;

From the information given, we have that;

Radius, r = 13.4 centimeters

Height, h = 27 centimeters

Now, subsitute the values, we get;

Area = 2× 3.14 × 13. 4× 27 + 2× 3.14 × (13.4)²

expand the bracket

Area = 2272. 104 + 1127.64

Add the values

Area = 3, 399. 74 square centimeters

Hence, the value is 3, 399. 74 square centimeters

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Answer:

C and D

Step-by-step explanation:

3x + 1 and 1 + 3x are the phrase for 'Thrice a number more than 1.

they can simplify to get the same answer.

The number of 0.001 inches present in one inch is 1000.

Unit conversion is a process with multiple steps involving multiplication or division by a numerical factor, particularly a conversion factor. The procedure may also demand the selection of the correct number of substantial digits and rounding. Different units of conversion are used to calculate different parameters.

We convert the units of any quantity to understand better. For example, the length of a table is measured in inches; on the other hand, the length of a garden is measured in yards to make it simple to comprehend. We cannot calculate the length of a finger in miles.

Let x be the 0.001 inches present in 1 inch

Therefore, 0.001x = 1

x = 1/0.001

x = 1000

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Hamilton led the Annapolis Convention in 1786 to adopt the United States Constitution in place of the Articles of Confederation.

Alexander Hamilton and George Washington spent years working near to one another, but they never grew close friends because of their respective roles and personalities. They exchanged gifts, nevertheless, that may have been of more value.

The popular Broadway musical Hamilton has been added to Disney+'s streaming library. Since then, the hip-hop and rap-infused history lesson has become more and more well-known. Alexander Hamilton's tale, along with that of other significant American Revolutionary War figures, is told in Hamilton.

In an effort to restore his political standing, Hamilton published a pamphlet to deny the charges of speculation but publicly admitted to the affair in what would be the first major American political sex scandal.

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The singular matrix that differs from a by the smallest possible amount is [σ1   σ2]

The term called matrix is defined as a set of numbers arranged in rows and columns so as to form a rectangular array.

Here we have know that suppose a is a 2 x 2 nonsingular matrix with singular values σ1 > σ2 > 0.

Here we have also know that In particular if some row or column has all its entries equal to zero and then its determinant is zero.

In those cases here we have the whole matrix is called singular.

As we all know that if X is a non-singular matrix which means that if none of its entries are zero then the determinant of X will not be zero.

So, the singular form of the matrix is written as,

=> [σ1   σ2]

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