What is the difference between the longest jump and the shortest jump in the running long jump event?

Answer:

1

Step-by-step explanation:

DO DA MATH

Using compound interest, it is found that $5,172.56 comes from interest earned

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

In this problem:

First, we have to find the principal needed, hence:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]20000 = P\left(1 + \frac{0.06}{12}\right)^{12(5)}[/tex]

[tex]P = \frac{20000}{(1.005)^{60}}[/tex]

[tex]P = 14827.44[/tex]

Hence:

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Answer:

Step-by-step explanation:

Answer:

$225.00

Step-by-step explanation

First, take the percentage and switch it to a decimal. 10%= 0.10

Next, take $250.00 and multiply that by 0.10. 250x0.10=25

Lastly, subtract 25 from 250. 250-25= 225.

So you’re final answer is $225.00 Hope this helped!

Answer:

$225

Step-by-step explanation:

To find the sale price you convert 10% to decimals so that is equal to .10. Then you multiply the .10 by the original price, and that equals $25. After you have to subtract the  found price by original price (250-25) then that should give you $225.

Answer:32

Step-by-step explanation:I divided 16 by 0.5

Answer:

Distributive property.

Step-by-step explanation:

To go from 3(6x + 2) - 4x to 18x + 6 - 4x, you would need to use the distributive property.

Answer:

Neither I am sure because if to the equation the answer is same

Answer:  The correct answer is: [A]:

__________________________________________________

      " Look at the graph of the relationship.  Find the y-value of the point that corresponds to x = 1 .   That value is the unit rate. "

__________________________________________________

Step-by-step explanation:

__________________________________________________

Note that the "unit rate" is the term that refers to:

a "quantity" / or "quantitative value" ;  

      →  of some type of "countable units"

{e.g. "currency"  — [such as:  dollars, cents,  pounds] ; "distance/length/ width/ height" — [such as:  miles, kilometers, meters, centimeters, yards, feet, inches] ;  pieces of fruits — [such as:  number of apples;  cans of soda, number of red dresses] ;  

__________________________________________________

per "single unit" of something — {e.g. per hour; per minute; per mile; per ounce; per hour; per dollar, per kilometer, per day, per week.

  {e.g.

            →    " 3 apples eaten  per [single] apricot eaten" ;

            →  " 46 miles per hour.

            →   " 8.3 cents per oz."  ;

            →  " 5 Liters of soda per dollar " ;

            →   " 2.3 grams per mole " ;

            →  " 4.6 mg solute / kg of solvent " ;  

            →  " 5 km / hr " ;  {that is:  " 5 km per hr " } .

            →  " 3 yds. per [single] square inch."

            →  " 35 parts per hundred" ; {that is:  " 35 percent" ; or: " 35 % " . } .

            →    " ... The cilantro is on sale for 33 cents per bundle ...} ."

  →  ... to provide a few examples.  

__________________________________________________

    On on Cartesian plane graph,  the  "x-axis" is located on the "horizontal axis" that represents the "independent variable" (or, at times, the "experimental value" — which can be manipulated — or "controlled" —or  be subjected to being "manipulated" / "controlled" / or, "selected".

  The "y-axis" is located on the "vertical axis" that represents the "dependent variable" (or, at times, the "control value") that cannot be "manipulated" / controlled/ or "selected" / since it represents the "y-value" of the corresponding coordinate to which the "x-value" happens to corresponds to at the given value for "x" .

  So, if the "unit rate" represents the "single unit rate" ;  we look at "x = 1 " ;  since we are "choosing" this particular "single" rate of per "single" (i.e. "1" ) ; so we do not have a choice in what "y-value" of the particular graph to select.  We can control the fact that we are "choosing" to find the "unit" rate, so we select the "independent variable" , "x = 1 " . We then examine the "corresponding y-value" that happens to exist when "x = 1 " .

{Note that we have "no control" over what that "y-value" is ; at the: "[point which:  " x = 1 .] . "

_________________________________________________  

→  As such, that "y-value" [insert that numeric "y-value" ;                        followed by the units represented by the "y-axis" ] ;

           per  " 1 " [insert "single unit" represented by the "x-axis" ] ;

_________________________________________________    

          →   is the:  "unit rate" .

__________________________________________________

So:  

   The correct answer is:    [A]:  

__________________________________________________

    " Look at the graph of the relationship.  Find the y-value of the point that corresponds to x = 1 .   That value is the unit rate. "

Answer:

Step-by-stbhubhbhnhnkjnkjnep explanation:

Answer:

(317-7)/6≈52

Step-by-step explanation:

There was approximately 52 kids in each bus

Total number of kids = 317

Total number of buses = 6

Number of kids sick = 7

Therefore, the number of kids on each bus will be:

= (317 - 7) / 6

= 310/6

= 51 2/3

= 52 kids approximately

In conclusion, there was approximately 52 kids in each bus.

Read related link on:

https://brainly.com/question/20167606

Answer:

2 or 2 x 10⁰

Step-by-step explanation:

Answer:

20 times further

Step-by-step explanation:

Neptune is about 2,700,000,000 miles from Earth.

Mercury is about 135,000,000 miles from Earth.

Write in scientific notation to help solve. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. The power is the number of decimal places you move.

2,700,000,000 = 2.7 x [tex]10^{9}[/tex]

135,000,000  = 1.35 x [tex]10^{8}[/tex]

2)

[tex]\frac{Neptune}{Mercury} = \frac{2.7 * 10^{9} }{1.35*10^{8} }[/tex]

You can see there is only one extra 0 on top, the rest will cancel so you're left with:

[tex]\frac{27}{1.35} = 20[/tex]

It's 20x farther to Neptune from Earth, than it is to Mercury from Earth.

Answer:

The percent error of the 2007 measurement is 2.30

Step-by-step explanation:

To determine the percent error of the 2007 measurement,

Percent error is given by

Percent error = [tex]\frac{|True value - Observed value| }{True value} \times 100%[/tex]%

Observed measurement in 2007 = 2322 km

True value (observed in 2017) = 2376.6 km

∴ Percent error = [tex]\frac{|2376.6 - 2322| }{2376.6} \times 100%[/tex]%

Percent error = [tex]\frac{54.6 }{2376.6} \times 100%[/tex]%

Percent error = 0.022974 × 100%

Percent error = 2.2974%

Percent error ≅ 2.30%

Since the answer is required to be entered without the % sign, then

Percent error = 2.30

Hence, the percent error of the 2007 measurement is 2.30.

Answer:

40

Step-by-step explanation:

100 /5 = 20

20*2= 40

40%

Answer:

Yes, they are paralle.

Step-by-step explanation:

Step-by-step explanation:

Hey there!

Here;

The equations are:

3x + 4y - 7 = 0.............(I)

6x + 8y -11 = 0.........(ii)

Let's simply work with this.

From equation (I)

[tex]slope(m) = \frac{ - coeff.of \: x}{coeff.of \: y} [/tex]

[tex]m1 = \frac{ - 3}{4} [/tex]

From equation (ii)

[tex]slope(m2) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]

[tex]m2 = \frac{ - 6}{8} [/tex]

[tex]m2 = \frac{ - 3}{4} [/tex]

As per the condition of parallel lines;

M1 = M2

-3/4 = -3/4. (true)

Therefore, the lines are parallel to eachother.

Hope it helps...

Answer:

9 months

Step-by-step explanation:

peter is saving 35 dollars per month.  

295=35x

295/35=8.42 which is less than 295

9 is an approximate answer

35*9 equals 315, which is enough to pay 295 and have 20 dollars left over

Answer:

5 packages

Step-by-step explanation:

each would have five if they made 5 sandwhiches

Answer:

5

Step-by-step explanation:

Divide each number until the remainder is one

Multiply the numbers used to divide which is 2 6 and 5 to get the LCM which is 60

Edit:

60 eggs /12 =5

60 muffins/10 =5

Answer:

2   17/100

Step-by-step explanation:

not sure if that is a negative sign before, if so, add the negative

Answer:

-6

Step-by-step explanation:

I hope this helps!

Answer:

-3

Step-by-step explanation:

Answer:

the answer is 30

Step-by-step explanation:

hope it helps

Answer:

Answer is b

x=2 y=0_________

Answer:

Step-by-step explanation:

a. 5/2 ÷ 1/2  =

b. 6/9 ÷ 5/6

c. 3/6 ÷ 2/5

d. 7 1/2 ÷ 6 =

e. 1 1/3 ÷ 1 2/3=

Answer:

Trick answer none of them do.

Step-by-step explanation:

Answer:

x= 116/17

Step-by-step explanation:

5x+192−321+13=−12x

Step 1: Simplify both sides of the equation.

5x+192−321+13=−12x

5x+192+−321+13=−12x

(5x)+(192+−321+13)=−12x(Combine Like Terms)

5x+−116=−12x

5x−116=−12x

Step 2: Add 12x to both sides.

5x−116+12x=−12x+12x

17x−116=0

Step 3: Add 116 to both sides.

17x−116+116=0+116

17x=116

Step 4: Divide both sides by 17.

17x/17=116/17

x = 116/17

Answer:

  $13,087.50

Step-by-step explanation:

The sale of the 40 shares of stock A at $225 per share will get Juan ...

  40 · $225 = $9000

The sale of the 150 shares of stock B at $27.25 per share will get Juan ...

  150 · $27.25 = $4087.50

So, the total Juan will receive from the sale of the stocks will be ...

  $9000.00 +4087.50 = $13,087.50

Answer:

A . (2x + 9) and (x-4)

Explanation:

Given parameters:

 Given trinomial;

               2x² + x - 36

Possible dimensions of the yard = ?

Solution:

To solve this apply the quadratic factorization;

        2x² + x - 36 = 0

        2x² -8x  + 9x - 36  = 0

        2x(x - 4) + 9(x -4) = 0

      (2x + 9) (x -4) = 0

The possible dimensions of the rectangular yard is (2x + 9)  and (x -4)

Answer:

1 real root   2 imaginary roots

Step-by-step explanation:

f(x) = x^3 + 5x^2 + x + 5

Set equal to zero to find the zeros

0  = x^3 + 5x^2 + x + 5

Factor by grouping

0 = x^2( x+5)  + 1( x+5)

0 = (x+5) ( x^2+1)

Using the zero product property

x+5 =0    x^2+1 =0

x=-5    x^2 = -1

x=-5    x = ±i

1 real root   2 imaginary roots

Answer:

1 real root   2 imaginary roots

Step-by-step explanation:

f(x) = x^3 + 5x^2 + x + 5

Set equal to zero to find the zeros

0  = x^3 + 5x^2 + x + 5

Factor by grouping

0 = x^2( x+5)  + 1( x+5)

0 = (x+5) ( x^2+1)

Using the zero product property

x+5 =0    x^2+1 =0

x=-5    x^2 = -1

x=-5    x = ±i

1 real root   2 imaginary roots

Answer:

The value is  [tex]H  =0.3966[/tex]

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  50

  The  mean tail is  [tex]\= x  =  85.4 \cm[/tex]

  The  number  of resplendent quetzals selected as breeders  is  [tex]k =  10[/tex]

   The  mean tail breeders  is  [tex]\= x_1 =  91.2 \ cm[/tex]

   The mean tail of the breeders after mating  [tex]\=  x_2  =  87.7 \ cm[/tex]

Generally the selection differential is mathematically represented as

    [tex]D  =  \= x_1 -  \= x [/tex]

=>  [tex]D  = 91.2-  85.4 [/tex]

=>  [tex]D  = 5.8 \  cm [/tex]

Generally the selection response  is mathematically represented as

       [tex]S =  \=  x_2  - \= x[/tex]

=>    [tex]S =  87.7   - 85.4[/tex]

=>    [tex]S =2.3 \  cm [/tex]

Generally the  heritability of tail length in this resplendent quetzal population is mathematically represented as

     [tex]H  =  h^2 =  \frac{S}{D} [/tex]

=>   [tex]H  =  h^2 =  \frac{2.3}{5.8} [/tex]

=>  [tex]H  =  h^2 =  \frac{2.3}{5.8}  [/tex]

=>  [tex]H  =  h^2 = 0.3966/tex]

Answer:

2x² + 3x + 8 + 7/x-4

Step-by-step explanation:

For this problem, we can use synthetic division.

4 | 2 -5 -4 -25

  |      8 12  32

  |_________

    2   3  8   7/x-4

This means the quotient is 2x² + 3x + 8 + 7/x-4.

Answer:

Yes the answer is 179 remainder 3

Answer:

no

Step-by-step explanation:

hope this helped!

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