What is the probability of
spinning a yellow?
[?]%

The function f(x) = |x|, after shifting it down by 4 units and right by 3 units can be written as -

(y - 4) - |x - 3| = 0

The modulus function can be written as follows -

|x| =  x  [for x ≥ 0]  

|x| = - x [for x < 0]

Given that a function f(x) = |x| which is shifted down by 4 units and right by 3 units. Therefore, we can write -

y = f(x) = |x|

Change in y - coordinate = y + 4.

Change in x - coordinate = x - 3.

We will plot the graph of h(x) after the doing the given changes in the coordinates.

Now, we have -

y = |x|

y - |x| = 0

Change in y - coordinate can be written as -

(y + 4) - |x| = 0

Change in x - coordinate can be written as -

(y - 4) - |x - 3| = 0

Now, the graph of both f(x) and and h(x) is attached at the end.

Therefore, the function f(x) = |x|, after shifting it down by 4 units and right by 3 units can be written as -

(y - 4) - |x - 3| = 0

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Answer:

y = 6x + 760

Step-by-step explanation:

In the problem you are given two pairs of numbers. These are both a pair of inputs and outputs, (x, y):

(390, 3100) also,

(490, 3700)

Write an equation by finding and filling in m and b in the following equation:

y = mx + b

To find m, which is the slope of the line, subtract y-y and put that on top. Then subtract x-x and put that on the bottom. See image.

Next, find b by use EITHER pair of numbers to find b.

I used (390, 3100).

see image.

m = 6 and b = 760

Fill these into

y= mx + b

y = 6x + 760

In case they ask, this means each calculator takes $6 to make and it costs $760 to set up your operation even before you have made any calculators.

Answer:

down below

Step-by-step explanation:

Brooke's team won 55%. 9 out word of 17 is 52.94% and 7 out of 13 is 53.85%. Now, we compare the numbers. 55% is more so, Brooke's team had the best winning percentage.

Hope this helps! :)

The one cup holds 7 ounces of juice.

According to the statement

We have to find that the How many ounces does a cup hold.

So, For this purpose, we know that the

A quantity is a property of some object or collection of objects that is measurable.

From the given information:

A large juice jug holds the equivalent of 10 drinking cups: 4 jugs hold 189 ounces more than 13 drinking cups.

Let the amount held by a cup be y ounces.

So the large jug holds 10y ounces.

4 jugs hold 189 ounces more than 13 cups

4*10y=189+13y

40y-13y=189

27y=189

y=7

A cup holds 7 ounces.

So, The one cup holds 7 ounces of juice.

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First of all we know about the Estimation.

What is the Estimation?

To estimate the result of multiplication (product), round the numbers to some close numbers that can easily multiply . One method of estimation is to round all factors to the biggest digit (place value) they have.

General rule for rounding:

1 ) If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

2 ) If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

So the last digit of number is 44 which is less then 50 so the number is down to its 10's.

thats the reason why when we estimate the product of 416x9 =3,744 is 3,600.

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Answer: $52 is your new balance

Step-by-step explanation: -12+60=52

The mathematical expression of the statement is x - 15 <= 5

The statement is given as:

Hourly wage of $15 differs from the average by less than or equal to $5

Let the average hourly wage be x

So, we have:

Hourly wage of $15 differs from the average = x - 15

less than or equal to $5 => <=5

So, the expression is

x - 15 <= 5

Hence, the mathematical expression of the statement is x - 15 <= 5

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Answer:

-3

Step-by-step explanation:

Hope this helps!

Answer:

-3

Step-by-step explanation:

if its negative then it will continue to be unless 7 is added into -6. So, adding 3 to that would make it -3

The probability that both of the boxes one would select had the decoder ring is 9.9%.

Given, the store manger gives the surety that 19 out of 59 boxes on the shelf have the secret decoder ring.

The boxes on the shelf which have a different gift inside is = 40 boxes.

If one randomly selects two boxes from the shelf to purchase, the probability that both of them have the secret decoder ring = ?

You can imagine that someone used invisible link to label each box with a number, and knows that boxes number 1 through 19 have decoder rings, while boxes number 20 through 59 have other gifts.

There are 59×58/2

= 3422/2

= 1711 possible sets of two boxes that one could select, but there are only 19 × 19/2

= 342/2

= 171 possible sets of two boxes with decoder rings.

The fraction of possible pairs of boxes where both boxes have the secret decoder ring is:

= 171/1711

= 0.099 = 9.9%

Hence there is 9.9% probability that both of the boxes one might select had a decoder ring.

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Answer:

He can buy 2 full sets

Step-by-step explanation:

$25 divided by $9 per set is 2.8 sets.  Assuming sets are only sold as whole packages that would be 2 full sets.

Answer:

1.37037037 or 1 10/27

Step-by-step explanation:

What's there to explain?

27/27 + 10/27 = 1 10/27

The simplified form of the expression (( (-2 + h)³ + 8 ) / h) is h² - 6h + 12

Given the expression in question;

( (-2 + h)³ + 8 ) / h

First, we simplify the numerator.

Lets rewrite 8 as 2³

(-2 + h)³ + 2³

Now, we can use the sum of cubes formula to factorize since both terms are perfect cubes.

a³ + b³ = ( a + b )( a² - ab + b² )

(-2 + h)³ + 2³ = ( -2 + h + 2 )( (-2 + h)² - (-2 + h)2 + 2² )

(-2 + h)³ + 2³ = h( (-2 + h)² + 4 - 2h + 4 )

(-2 + h)³ + 2³ = h( (-2 + h)²- 2h + 8 )

(-2 + h)³ + 2³ = h( (h² - 4h + 4 )- 2h + 8 )

(-2 + h)³ + 2³ = h( h² - 4h + 4 - 2h + 8 )

(-2 + h)³ + 2³ = h( h² - 6h + 12 )

Now bring back the denominator.

( h( h² - 6h + 12 ) ) / h

Cancel the common factors h

h² - 6h + 12

Therefore, the simplified form of the expression (( (-2 + h)³ + 8 ) / h) is h² - 6h + 12

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Answer:

375

Step-by-step explanation:

Let the number of hamburgers sold be x. Then, x-66 cheeseburgers were sold.

[tex]x+x-66=684 \\ \\ 2x=750 \\ \\ x=375[/tex]

hsksebhssv hnshsnsjdndj ldgehsiw c 3072729 lvwjaiwn sj. +a iwiwirbfhx ska hamd +675196 = $ 20000 solved

Total money with Kadeem  = $680

Money spent by him on a new bicycle = $470.65

Money left with him after buying a new bicycle = 680 - 470.65 = 209.35

Money spent by him on 2 bicycle reflectors = 7.87*2 = $15.74

Money left with him after buying reflectors = 209.35 - 15.74 = $193.61

Money spent by him on bike gloves = $15.18

Money left with him after buying biking outfits: 193.61 - 15.18 = $178.43

Cost of each outfit = $50.98

Let the number of outfits Kadeem can buy be x, therefore formulating the equation we get:

50.98x< = 178.43

x< = 3.5

So, Kadeem can buy 3 outfits while staying within budget

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The maximum number of performers in each row so that all the rows are equal in length is 8.

From the information, the marching band needs to create rows for its performance. there are 24 instruments and 16 flag bearers.

Therefore, we will find the highest common factor for both numbers. This will be:

24 = 1 2 3 4 ,6 8 12 24

16 = 1 2 4 16

Therefore the highest factor is 8

The maximum number of performers in each row so that all the rows are equal in length is 8.

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Answer:

Step-by-step explanation:

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

(A) The expression to represent the elevation level of city D, in feet will be :  [tex]D = \frac{1}{4} * [C][/tex]    
(B) The elevation of city D will be -6 feet. The negative here shows that city D is below sea level.

In the question, it is given that city A is 96 feet below sea level, city C is 24 feet below sea level, and the elevation of city D is 1 over 4th of the elevation of C. Since, City A & C are both below sea level their elevation will be negative. So, by these we get elevations:

For City A,  A = -96

      City C,  C = -24

      City D,  [tex]D = \frac{1}{4} *[C][/tex]      ----> Equation (1)

By Equation (1) we get the representation of elevation for City D.

Now, Calculating the elevation of city D, we will put the value of city C in equation (1).

        =>   [tex]D = \frac{1}{4} *[-24][/tex]

        =>   [tex]D = -6\\[/tex]

The negative sign here shows that the elevation is below sea level for city D.

Hence, the expression representing the elevation of city D will be [tex]D = \frac{1}{4} * [C][/tex] and, the elevation of city D will be -6.

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Answer is  f(x)= [tex]\frac{x^{2}+ 2x - 8 }{x - 5}[/tex]

vertical asymptote, the denominator must be contained (x−5)

and for zeros the numerator must be contained (x−2)

then we get,

So far f(x)= f(x)= [tex]\frac{ (x - 2)}{x - 5}[/tex]

​

For slant asymptote, quotient of numerator divided by denominator must be (x+4)

Therefore:

f(x)= [tex]\frac{(x + 4) (x - 2)}{x - 5}[/tex]

after solving this equation we get,

So f(x)= [tex]\frac{x^{2}+ 2x - 8 }{x - 5}[/tex]

​A vertical asymptote is a vertical line that guides the graph of the function but is not part of it. It can never be crossed by the graph because it occurs at the x-value that is not in the domain of the function. A function may have more than one vertical asymptote.

In Mathematics, a slant asymptote, also known as an oblique asymptote, occurs when the degree of the numerator polynomial is greater than the degree of the denominator polynomial. The slant asymptote gives the linear function which is neither parallel to x-axis nor parallel to the y-axis.

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We get the equation in terms of n as n = s / 4 - v.

Equation:

An equation is an expression with an equal sign.

For example:

3 x + 4 y = 5

2 x + 5 y = 9 etc.

We are given an equation:

s = 4 n + 4 v

We have to solve this for n.

First we will subtract 4 v from both sides:

s - 4 v = 4 n + 4 v - 4 v

s - 4 v = 4 n

4 n = s - 4 v

Now divide both the sides by 4:

4 n / 4 = (s - 4 v) / 4

n = s / 4 - v

Therefore, we get the equation in terms of n as n = s / 4 - v.

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Answer: x > 75

Step-by-step explanation:

(85+84+69+82+x)/5 > 79

85+84+69+82+x > 395

x > 75

Answer:

  8.  HI = 25 cm

  9.  HJ = 27.5 cm

  10.  IK = 5.5 cm

Step-by-step explanation:

Given segments JK=3 cm and IJ=2.5 cm of 30.5 cm length HK having points H, I, J, K in sequence, you want to find missing segment lengths.

The segment sum theorem tells you the length of a line segment is the sum of the lengths that make it up. That means ...

  HI +IJ +JK = HK

This lets you find the lengths of the various segments without concerning yourself with the value of x.

Using the given lengths in the above sum, we have ...

  HI +2.5 +3 = 30.5

  HI = 30.5 -5.5 = 25

The length of HI is 25 cm.

The overall length is the sum of its parts:

  HI +IJ = HJ

  25 +2.5 = 27.5 = HJ

The length of HJ is 27.5 cm.

The overall length is the sum of its parts:

  IJ +JK = IK

  2.5 +3 = 5.5 = IK

The length of IK is 5.5 cm.

__

Additional comment

In case you actually want to find x, you can find it from ...

  HI = 3x +4

  25 = 3x +4

  21 = 3x . . . . . . subtract 4

  7 = x . . . . . . . divide by 3.

In this set of problems, the only use of x is to find the value of 3x+4, which you have already seen is 25.

The solution set of the given inequality i.e.{x ; 2<x≤7} is (2,7].

Given that a inequality y={x ; 2<x≤7} and asked to find the solution set for the given inequality and plot graph according to that

⇒ y={x ; 2<x≤7} i.e domain=(2,7].

⇒y=x ∀ x ∈ (2,7]

The solution of the given inequality is x ∈ (2,7].

Therefore,The solution set of the given inequality i.e.{x ; 2<x≤7} is (2,7].

Graph: image attached

y=x  ∀ x ∈ (2,7] is plotted {open at (2,0) and close at (7,0)}              

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Answer:

321,800 cm. (Rounded)

Step-by-step explanation:

2 × 160,900 = 321,800

There are 160,900 centimeters in one mile, so you must multiply that by 2 and round.

Answer:

She will need to buy 589 kilograms.

Step-by-step explanation:

Answer:

The answer to your problem is -1/3

Step-by-step explanation:

Let me know if you need the steps. Thanks

Answer: 59.5

Step-by-step explanation: 29 3/4 times 2

I think

What is the Fibonacci sequence?

The Fibonacci sequence is a set of integers (the Fibonacci numbers) that starts with a zero, followed by a one, then by another one, and then by a series of steadily increasing numbers. The sequence follows the rule that each number is equal to the sum of the preceding two numbers.

The Fibonacci sequence begins with the following 14 integers:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233 ...

Each number, starting with the third, adheres to the prescribed formula. For example, the seventh number, 8, is preceded by 3 and 5, which add up to 8.

The sequence can theoretically continue to infinity, using the same formula for each new number. Some resources show the Fibonacci sequence starting with a one instead of a zero, but this is fairly uncommon.

Example 1: Starting with 0 and 1, write the first 5 Fibonacci numbers.

Solution: The formula for the Fibonacci sequence is Fn= Fn-1+Fn-2

The first and second terms are 0 and 1, respectively.

F0 = 0 and F1 = 1.

F2 = F0 + F1 = 0+1 = 1 is the third term.

F3 = F2+F1 = 1 + 1 = 2 is the fourth term.

F4 = F3+F2 = 1+2 = 3 is the fifth term.

The Fibonacci sequence’s first five terms are 0,1,1,2,3.

Example 2: Find the Fibonacci series’ next term: 0, 1, 1, 2, 3, 5…

Solution: The preceding two Fibonacci terms are the next term in the series.

As a result, the word that must be used is – 3 + 5 = 8

Example 3: What is the significance of Fibonacci numbers?

Solution: In financial statement analysis, Fibonacci numbers are pretty helpful. In addition, the Fibonacci number series may be utilized to provide valuable proportions or ratios for business people.

Example 4: Find the 12th term of the Fibonacci sequence if the 10th and 11th terms are 34 and 55, respectively.

Solution: Using the Fibonacci Sequence recursive formula, we can say that the 12th term is the sum of the 10th term and the 11th term

12th term = 10th term + 11th term

= 34 + 55

= 89

The 12th term of the Fibonacci sequence is 89.

Example 5: The 14th term in the sequence is 377. Find the next term.

Solution: We know that the 15th term = the 14th term × the golden ratio.

F15 = 377 × 1.618034

≈ 609.99 = 610

The 15th term in the Fibonacci sequence is 610.

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