While scuba diving, Alex counted the number of sea turtles and jellyfish he saw. After a few minutes, he counted 4 sea
turtles and 12 jellyfish. This ratio remained consistent during the remainder of his dive.
Part A
Using the given ratio, complete the table.
Number of
Number of
Sea Turtles
Jellyfish
1
4
24
14
60

Answers

Answer 1

Answer:

The values which are added to the table are;

Sea turtles = 1, Jellyfish  = 3

Sea turtles = 4, Jellyfish  = 12

Jellyfish = 24, Sea turtles= 8

Sea turtles = 14, Jellyfish  = 42

Jellyfish = 60, Sea turtles= 20

Step-by-step explanation:

The given parameters are;

The ratio of sea turtles to jellyfish = 4:12

Therefore, the ratio of sea turtles to jellyfish = 1:3

Which gives;

When the number of sea turtles = 1, the jellyfish = 1 × 3 = 3 Jellyfishes

When the number of sea turtles = 4, the jellyfish = 4 × 3 = 12 Jellyfishes

When the number of sea jellyfishes = 24, the number of sea turtles = 24/3 = 8 sea turtles

When the number of sea turtles = 14, the jellyfish = 14 × 3 = 42 Jellyfishes

When the number of sea jellyfishes = 60, the number of sea turtles = 60/3 = 20 sea turtles

The values given in the table can be presented as follows;

Number of Sea Turtles    [tex]{}[/tex]                                          Number of Jellyfish

1                                             [tex]{}[/tex]                                           3

4    [tex]{}[/tex]                                                                                   12

8                                             [tex]{}[/tex]                                          24

14                                              [tex]{}[/tex]                                        42

20                                            [tex]{}[/tex]                                         60


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Answer: strength used in an action - like lifting weights

Step-by-step explanation:

Force brings about the change in the motion or velocity of a particular object.

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Step-by-step explanation:

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Keep writing the equation until you get to lowest terms.

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[tex]1.8[/tex] × [tex]10^{10}[/tex]

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Step-by-step explanation:

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What does a correlation coefficient of 0.76between two assets indicate?

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D. The two assists are highly correlated.
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If you are writing an equivalent expression for 23 • 24, how many times would you write 2 as a factor?

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Answer:

1-100

Step-by-step explanation:

The number of times you write 2 as a factor of 552 is 3 times.

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Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

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Here, equivalent expression is 552

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Answer:

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Answers

Answer:

C. (3,20)

Step-by-step explanation:

Answer:(3,20)

Step-by-step explanation:

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Answers

Answer:

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a)

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Use the new formula to find the value of R given that

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Answers

Answer:

D

Step-by-step explanation:

The first step is to subtract 29.25 from 17.50

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Answers

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Step-by-step explanation:

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Answers

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Answer:  The answer for 1. is B For 2 its c and for 3 its D

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Step-by-step explanation:

Two integers have a difference of 18 and a sum of 2. What is the product of the two integers?

Answers

Answer:

the product of the two integers is -80

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-80

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Step-by-step explanation:

1 result(s) found

x  

2

−x−3

Step by Step Solution:

More Icon

STEP

1

:

Equation at the end of step 1

 

STEP

2

:

           x3 + 3x2 - 7x - 12

Simplify   ——————————————————

                 x + 4        

Checking for a perfect cube :

2.1    x3 + 3x2 - 7x - 12  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3 + 3x2 - 7x - 12  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -7x - 12  

Group 2:  x3 + 3x2  

Pull out from each group separately :

Group 1:   (7x + 12) • (-1)

Group 2:   (x + 3) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

2.3    Find roots (zeroes) of :       F(x) = x3 + 3x2 - 7x - 12

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -12.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,3 ,4 ,6 ,12

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -3.00      

     -2       1        -2.00        6.00      

     -3       1        -3.00        9.00      

     -4       1        -4.00        0.00      x + 4  

     -6       1        -6.00        -78.00      

     -12       1       -12.00       -1224.00      

     1       1        1.00        -15.00      

     2       1        2.00        -6.00      

     3       1        3.00        21.00      

     4       1        4.00        72.00      

     6       1        6.00        270.00      

     12       1        12.00        2064.00      

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

  x3 + 3x2 - 7x - 12  

can be divided with  x + 4  

Polynomial Long Division :

2.4    Polynomial Long Division

Dividing :  x3 + 3x2 - 7x - 12  

                             ("Dividend")

By         :    x + 4    ("Divisor")

dividend     x3  +  3x2  -  7x  -  12  

- divisor  * x2     x3  +  4x2          

remainder      -  x2  -  7x  -  12  

- divisor  * -x1      -  x2  -  4x      

remainder          -  3x  -  12  

- divisor  * -3x0          -  3x  -  12  

remainder                0

Quotient :  x2-x-3  Remainder:  0  

Trying to factor by splitting the middle term

2.5     Factoring  x2-x-3  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -3 = -3  

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   -1 .

     -3    +    1    =    -2  

     -1    +    3    =    2  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Canceling Out :

2.6    Cancel out  (x+4)  which appears on both sides of the fraction line.

Final result :

 x2 - x - 3

Terms and topics

More Icon

Polynomial root calculator

Polynomial long division

Related links

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Root Finder -- Polynomials Calculator

How to factor five term polynomial - Yahoo Answers

Long Polynomial Division

Polynomial long division - Wikipedia

Polynomial Long Division

Polynomials - Long Division

Select the correct answer.
In which direction must the graph of fx) = x be shifted to produce the graph of g(x) = x-6?
OA.
down
OB.
up
OC.
neither up nor down
OD
up and down

Answers

Answer:

it moves down

Step-by-step explanation:

for the graph originally f(x)=x and subtract 6 from it, it will move 6 units down, and to find the new coordinate you subtract 6 in y so (x , y-6)→for the new coordinate.

NOTE: if the graph added to 6 it will move up 6 units.

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

The answer is option D

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of y

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We have the final answer as

18.61

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help

Answers

Answer:

y = 2x + 4

Step-by-step explanation:

the line intersects the y axis at 4. so, b = 4

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Answers

Answer:

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Step-by-step explanation:

$4 = 5 apples so u divided that 4 divided 5 gives you .80

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Answer:

$0.8 or $ .8

Step-by-step explanation:

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Answer:

The answer is 8.15

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Answer:

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Answers

Answer:

The rate of the second car is 30 miles/hour

Step-by-step explanation:

The Given formula is:

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Let us solve the equation to find r

→ Multiply 4 by (r + 15) first

∵ 4(r + 15) = 4(r) + 4(15) = 4r + 60

→ Substitute it in the equation above

∴ 4r + 60 + 4r = 300

→ Add the like terms in the left side

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, which expression is equivalent to (kºn)(x)?

Answers

Answer:

1/(5+x)

Step-by-step explanation:

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Hope this helps ! :)

L.B. Johnson Middle School held a track and field event during the school year. The chess club sold various drink and snack items for the participants and the audience. All together, they sold items 486that totaled .$2,673a.If the chess club sold each item for the same price, calculate the price of each item.

Answers

Answer:

$5.50

Step-by-step explanation:

L.B Johnson middle school held a track and field event

The chess club sold different drinks and snack item for both the audience and participants

They sold 486 items at a total of $2,673

Therefore the price of each item can be calculated as follows

= 2673/486

= 5.50

Hence the price of each item is $5.50

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