Bill claims that he found the actual December temperature by adding either -5 + 3 or 3 +-5.
What property did Bill use?

The first five terms of the sequence defined by the given function are f(1) = 10 f(2) = 22  f(3) = 48.4 f(4) = 106.48 and f(5) = 234.256.

What is a sequence?

A collection of events or items that occur one after the other in a specific order is referred to as a sequence.

Here, we have

Given the function is f(n) = 2.2 [ f(n-1) ] Here, f(1) = 10 then we have to create the first five terms of the sequence defined by the function.

Since f(1) = 10

f(2) = 2.2 [ f (2-1) ] = 2.2× [ f (1) ]

    = 2.2 × 10 = 22

f (3) = 2.2 [ f (3-1)] = 2.2 × [ f (2) ]

       = 2.2 × 22 = 48.4

f(4)  = 2.2 [ f(4-1) ] = 2.2× [ f(3)]

       = 2.2 × 48.4 = 106.48

f(5)  = 2.2 [ f(5-1) ] = 2.2× [ f(4)]

        2.2× 106.48 = 234.256

Hence the first five terms of the sequence defined by the given function are f(1) = 10 f(2) = 22  f(3) = 48.4 f(4) = 106.48 and f(5) = 234.256.

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5 is the difference between the two numbers 12 and 7.

Given,

In the question;

The difference between 3 times a number and 7 is 5.

Write and solve an equation to determine the number.

Now, According to the question:

Let's assume the unknown number to be x,

so three time the number would be 3x.

The difference between 3 times a number (3x) with 7 is 5, so we can write it as:

3x - 7 = 5

Now we can solve this equation to the find x (the unknown number).

3x = 5 + 7

3x = 12

x = 12/3

x = 4

Therefore 3x= 12

So, 5 is the difference between the two numbers 12 and 7.

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Answer:

Account A is incorrect the interest that you would earn is $8.60, not $860.00

Step-by-step explanation:

Answer:

1.3000

Step-by-step explanation:

To Round Numbers...

1 ) Decide which is the last digit to keep ( In this case it would be the hundredths )

2 ) Leave it the same if the next digit is less than 5 (this is called rounding down)

3 ) But increase it by 1 if the next digit is 5 or more (this is called rounding up)

Hope this helps! :)

Answer:

x=7

Step-by-step explanation:

these 2 triangle sides are equal to each other so just set them equal to find x

X+3=3x-11

-x.  -x

3=2x-11

+11. +11

14=2x

=2. =2

7=x

Hopes this helps please mark brainliest

The completion of the inventory table is as follows:

A = $48

B = $264

C = $420

D = $304.

The above inventory table is completed using some of the inventory methods including:

FIFO (First-in, First-out) assumes that the physical flow of goods sold follows the chronological order of acquisition.

LIFO (Last-in, First-out) assumes that the cost of goods sold should be based on the latest inventory purchases.

The weighted-average method uses the average cost of goods to determine both the ending inventory and the cost of goods sold.

Specification Identification does not base allocating the costs of goods sold and ending inventory on any assumptions. Instead, it uses specific costs.

                                     Units    Unit Cost    Total Cost

Jan. 1      Beg. Inventory   8        $6.00            $48 ($6 x 8)

Apri. 11    Purchases        24       $11.00          $264 ($11 x 24)

May 17    Purchases        30      $14.00          $420 ($14 x 30)

Dec. 5    Purchases         19      $16.00          $304 ($16 x 19)

Total                                 81                         $1,036

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The missing values for gallons of gasoline remaining is 11,6,1.

Given that equation shown below can be used to find the gallons of gasoline remaining (g) after distance driven (d).

We want to find the missing values for gallons of gasoline remaining.

The given equation is g=16-(1/20)d

When the distance is 100 then we will find the gallons of gasoline remaining by substituting d=100 in given equation, we get

g=16-(1/20)100

g=16-5

g=11

When the distance is 200 then we will find the gallons of gasoline remaining by substituting d=200 in given equation, we get

g=16-(1/20)200

g=16-10

g=6

When the distance is 300 then we will find the gallons of gasoline remaining by substituting d=300 in given equation, we get

g=16-(1/20)300

g=16-15

g=1

Hence, the missing values for gallons of gasoline remaining when distance 100 is 11, when distance 200 is 6 and when distance 300 is 1.

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The range of the function is y ≤ 3.

The set of a function's potential output values is known as its range.

Given, the graph of the function.

The range of a function is the set of values of y the function can take.

The maximum y value of the function is 3, and the graph is going down both sides infinitely.

Therefore, the range of the function is y ≤ 3.

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If the distance from P to R is 3 units, then the distance from Q to S is; 3 units

We are told that quadrilateral PQRS is a scaled copy of quadrilateral ABCD. Thus, this means that;

P → A

Q → B

R → C

S → D

We are also told that the length of PR = 3 units.

Now, from the given image, we see that;

AC = 6 and BD = 6

We also know that;

AC corresponds to PR

BD corresponds to QS

Due to the fact that AC and BD have the same side lengths, then it means that PR and QS will have the same side lengths.

Therefore, the value of QS is: QS = 3

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Complete question is;

Here is Quadrilateral ABCD.

Quadrilateral PQRS is a scaled copy of Quadrilateral ABCD Point P corresponds to A.

Q to B. R to C. and S to D.

1. If the distance from P to R is 3 units, what is the distance from Q to S?

Answer:

a) He obviously used 7 liters of cooking oil.

b) He has 24 liters of cooking oil left.

Answer:

option c

y = -1

Step-by-step explanation:

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

x - 3y = 4 ------------------(2)

from equation (2)

x = 4 + 3y-------------------(3)

substituting the value of x in equation (1)

2(4+3y) - y = 3

8 + 6y - y = 3

5y = 3-8

5y = -5

y = -1

substituting the value of y in equation (3)

x = 4 - 3

x = 1

Answer:5/9

Step-by-step explanation:

Answer: The correct answer is x=−1/5  and y=−1/5

Step-by-step explanation:

Solve the System by substitution:

y=6x+1 and 7x−2y=−1

Solve y=6x+1 for y:

y=6x+1

Substitute 6x+1 for y in 7x−2y=−1:

7x−2y=−1

7x−2(6x+1)=−1

−5x−2=−1 (Simplify both sides)

−5x−2+2=−1+2 (Add 2 to both sides)

−5x=1

−5x/−5 = 1/−5  (Divide both sides by -5)

x=−1/5

Substitute −1/5 for x in y=6x+1:

y=6x+1

y=6(−1/5)+1

y=−1/5   (Simplify both sides)

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The number is 0.75.

From the question, we have

The store was offering a 25% discount.

number = 1-0.25

=0.75

Subtraction:

Subtraction serves as a representation for the act of removing items from a collection. The minus sign stands for subtraction. For example, if four of the nine oranges that are stacked together (as in the above figure) are then moved to a basket, the stack will now contain five oranges rather than nine. Therefore, the difference between 9 and 4 is 5, or equals 9 minus 4. In addition to applying it to natural numbers, subtraction can also be used with other kinds of numbers. The letter "-" represents subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation.

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The values from the parent function are a = 1, b = -6, h = 3, and k = -4.

What is the vertex form of quadratic equations?

The vertex form of a quadratic function is given by f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.

The given parent function is f(x) = (x - 3)² - 4.

comparing with the standard vertex form of the parabola, we get

                  a = 1, h = 3 and k = -4.

Now to find 'b', we have to simplify the given function in the form of f(x) = ax² + bx + c

                  f(x) = (x - 3)² - 4

                  f(x) = (x² - 6x + 9) - 4

                  f(x) = x² - 6x + 5

Comparing with f(x) = ax² + bx + c we get, c = -6.

Hence, The values from the parent function are a = 1, b = -6, h = 3, and k = -4.

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With a manufacturing cost of $80 per phone, the selling price of $292.5 would result in the largest annual profit.

Profit is the amount of gain realized from a transaction. The profit formula is useful for figuring out the profit from selling a specific product, typically in a business, or for figuring out the gain in any financial transaction. If the selling price is more than the cost price, a profit can be determined.

Given,

q = -6p+3030

p = 505 - q/6

R(q) = 505q - q²/6

C(q) = 80q

Now, the profit function,

P(q) = R(q) - C(q)

      = (505q - (q²/6)) - 80q

P(q) = 425q - q²/6

P(q) = 425 - q/3

q = 1275 units

Now, put it in the demand function,

p = 505 - q/6

  = 505 - 212.5

  = 292.5

Therefore, the selling price is $292.5.

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The equation of line q is  y = x/10 - 9/10.

What is equation of straight line?

   A line that does not curl or bend is said to be straight. A line has length but no width, making it a one-dimensional figure. A line consists of points that extend infinitely in opposite directions. Two points in a 2D plane determine it. A, B, and C are real-based constants in the formula Ax + By + C = 0, A, B 0. The geometric representation of the equation is always a straight line.

Here the given line P,

=> y+5=-10(x+2)

=> y+5=-10x-20

=> y = -10x-25

Here in the given line y=mx+c , where m=slope. Then,

=> Slope of line P = -10.

Here line P is perpendicular to line q.

Then, slope of line q = -1/ slope of line p = -1/-10 = 1/10

Now the line passes through the point [tex](x_1,y_1)=(-1,-1)[/tex] then,

=> [tex]y-y_1=m(x-x_1)[/tex]

=> y+1 = 1/10 (x+1)

=> 10y+10 = x+1

=> 10y=x-9

=> y = x/10 - 9/10.

Hence the equation of the line q is  y = x/10 - 9/10.

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The size of angle QPR is 45° and the length of sides PQ and QR are both 27.20cm

An isosceles triangle is a triangle that has at least two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal angle,

since ∆PQR is a right angle isosceles triangle then, if angle Q is 90^°, QPR = PRQ=x( angles of an isosceles triangle).

Therefore 90+x+x= 180°

2x= 90

x= 45°

To find line PQ and QR, we use trigonometry ratio

cos 45°= adj/hyp

I/√2= QR/38.47

QR= 38.47/√2

= 27.20cm

QR= PQ= 27.20

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The interest she is pay total is $2340.822 when Angela's bank granted her a 6380 loan with a 3 year add-on interest period. 12.23% is the interest rate per year.

Given that,

For the purpose of buying new equipment for her business of antique restoration, Angela's bank granted her a 6380 loan with a 3 year add-on interest period. 12.23% is the interest rate per year.

We have to find will she pay interest at all.

We know that,

i=p×r×t

Here,

i is interest.

p is principal amount.

r is rate of interest

t is time.

So, p is $6380

r is 12.23%

t is 3 years

So,

i= 6380×0.1223×3

i= $2340.822

Therefore, the interest she is pay total is $2340.822 when Angela's bank granted her a 6380 loan with a 3 year add-on interest period. 12.23% is the interest rate per year.

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Answer:

There isn't one. There is no solution.

Step-by-step explanation:

There are multiple ways to solve this system, but here's what I did:

Solve the both equations for s:

   s/2 + 5t = 3 + 5t  ⇒  s = 6

   3t - 6s = 9 + 3t  ⇒  s = -3/2

Since s cannot equal both 6 and -3/2 at the same time, there is no real solution to this system.

The equation that models the cost of the van rental is V = $183 + (m - 120)0.39. (first option)

The number of miles that Tim and Jessica can travel roundtrip on vacation is Ashville MC (second option)

The equation that represents the total cost of renting the camper van is a linear equation. A linear equation is an equation that has single variable that is raised to the power of one.

The general form of a linear equation is: y = mx + b

Where:

The form of the linear equation is:

total cost = cost of renting the van + [(total miles driven - 120) x cost per mile)

V = $183 + (m - 120) x 0.39

V = $183 + (m - 120)0.39

Total miles that can be driven if they have to spend $598.74

$598.74 = $183 + (m - 120)0.39

$598.74 = $183 + 0.39m - 46.80

$598.74 = $136.20 + 0.39m

$598.74 - $136.20 = 0.39m

$462.54 = 0.39m

m = $462.54 /0.39

m = 1186

Distance Tim and Jessica can travel from the rental company to the destination = 1186 / 2 = 593 miles

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The mapping of the function f of g(x) will result to 41

A function in mathematics is a rule that defines a relationship between one variable. This is a mapping whose codomain is the set of real numbers.

By mapping of the functions f and g defined as;

f : x » x + 5 and g : x » 8x

then;

f of g(x) = f of 8(4.5)

f of g(x) = f of 36

f of g(x) = 36 + 5

f of g(x) = 41

Hence, with proper mapping of the defined functions of f and g, the correct value for f of g(x) is 41.

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Answer:

huhh

Step-by-step explanation:

Hi im new can u guys tell me how this work pease??

Answer:

Step-by-step explanation:

idek idek

Answer:

(∞,-3) and (1,-∞)

Step-by-step explanation:

Decreasing means going down or in math terms, going toward the negatives.

When you are talking intervals in math, you only want to use the x-axis for the interval points. We write the interval as if it was a coordinate point though.

Looking at the graph it looks like it is going from infinity to -3 or written as (∞,3) and from 1 to negative infinity or written as (1, -∞)

The interval(s) for which the function shown below is decreasing are (∞,-3) and (1,-∞).

A function is a relationship between two sets of values in mathematics where each input value (or "argument") corresponds to a certain output value.

In most cases, the input values come from a set referred to as the function's domain, while the output values come from a set referred to as the function's range.

Declining is the mathematical phrase for decreasing or moving towards the negatives.

Mathematicians only use the x-axis to represent interval points when discussing intervals. Yet, we express the interval as if it were a coordinate point.

If you look at the graph, it appears to be traveling from infinity to -3, which is written as (,3), and from one to negative infinity, which is written as (1, -).

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Answer:

0.45833333333 or 11/23

Step-by-step explanation:

1 2/9*6/16 is simply 11/23, cross multiply and simplify

Answer:

Step-by-step explanation:

[tex]\sf (10-x)+(12-x)[/tex]

Simplify:-

[tex]\sf 10-x+12-x[/tex]

Combine like terms:-

[tex]\sf -x-x+10+12[/tex]

[tex]\sf (-x-x)=\bf -2x[/tex]

[tex]\sf (10+12)=\bf 22[/tex]

[tex]\sf -2x+22[/tex]

Hope this helps!

Have a great day!

The simple interest is 2112.5 and the maturity value is 21,612.5

In the given question,

We have to find the simple interest and maturity value.

The given principal amount (P)= 19,500

The interest rate (r)= 6 1/2%

We write the interest in improper fraction. We can write it as 6 multiple with 2 then adding the result of multiplication with 1.

So the simplest form (r)=13/2%

Time = 20 months.

Now converting the months into years.

As we know that in one year have 12 months.

So the Time = 20/12

Time (T)= 5/3

The formula of simple interest is

I = P*R*T/100

Now putting the value

I = 19,500*(13/2)*(5/3)/100

Simplifying

I = 19,500*13*5/100*2*3

I = 1,267,500/600

I = 2112.5

Hence, the simple interest is 2112.5.

Now finding the maturity value(MV).

MV=P+I

MV=19,500+2112.5

MV=21,612.5

Hence, the maturity value is 21,612.5

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Answer:

Step-by-step explanation:

21%

Answer:

a) -2/3

b) x^2-1/2

Step-by-step explanation: