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Scilla [17]
3 years ago
11

Jimmy, Joe and sally are racing their cars. Jimmy and Joe have completed the same number of laps- six fewer laps than Sally. If

the total number of completed laps is 222, ow many laps has each of the three racers completed?
Mathematics
1 answer:
shusha [124]3 years ago
3 0
X = the number of laps Joe has ran.
x + x + x + 6 = 222
3x = 216
x = 72
Jimmy ran 72 laps.
Joe ran 72 laps.
Sally ran 78 laps.
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What are the focus and the directrix of the graph of x=1/24 y^2
vladimir2022 [97]
The given equation of parabola is:

x= \frac{1}{24}  y^{2}

Part 1) Focus of the Parabola

In order to find the focus and equation of directrix, we first have to convert the given equation to standard form of parabola.

24x= y^{2}  \\  \\ 
4*6(x)= y^{2} \\  \\ 
(y-0)^{2} =4*6*(x-0)

The focus of the general equation of parabola shown below lies at (h+p, k)
(y-k)^{2}=4p(x-h)

Comparing our equation to the general equation we get:
h=0
k=0
p=6

So the focus of given parabola will be (0+6, 0) = (6,0)

Part 2) Directix of the Parabola

The directrix of the general parabola shown above lies at:

x = h - p
Using the values of h and p, we get

x = 0 - 6

x = -6

So, the directrix of the given parabola has the equation x = -6
4 0
4 years ago
Sandy has 27 roses, 9 daisies, and 36 tulips. She wants to arrange all the flowers in bouquets. Each bouquet has the same number
Ede4ka [16]
9, 9 is the only number that goes into all of the numbers given. there would be 3 bouquets of roses, 1 bouquet of daisies, and 4 bouquets of tulips.
4 0
3 years ago
Read 2 more answers
Find the net outward flux of f=a×r across any smooth closed surface in r3, where a is a constant nonzero vector and r=〈x,y,z〉
Paul [167]

Flux is zero since asked in \pi is 0\pi.

Flux is the presence of a pressure field in a detailed physical medium or the glide of electricity through a surface. In electronics, the term applies to any electrostatic field and any magnetic subject. Flux is depicted as "traces" in a plane that contains or intersects electric powered fee poles or magnetic poles.

The definition of flux is a flow of liquid from the body, or a regular movement or exchange. An instance of flux is diarrhea. An example of flux is an ever-converting list of the responsibilities of a particular process. regular or frequent alternate; fluctuation.

Flux is a go-platform computer program that adjusts a show's color temperature in keeping with vicinity and time of day, offering practical respite for the eyes. the program is designed to reduce eye stress at some stage in night-time use, supporting reducing the disruption of sleep patterns.

Our field is IR^3 be,

F= (bz-cy,cx-az,ay-bx)

Now divergence theorem says that Flux can be calculated by

\int\limits^ {} \, F.n = \int\limits^ {} \,( c.F) dv

Now let's calculate the divergence of a vector field

F = (ia/ax + ja/ay + k*a/az)*((bz-cy)i+((x-dz))+(ay-bx)*k)

a/ax(bz-cy)+a/ay(cx-az)+a/az(ay-bx)

= 0+0+0

=0

Flux is zero since asked in \pi is 0\pi.

Learn  more about Flux here brainly.com/question/26289097

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7 0
1 year ago
What is the difference between population parameters and estimates in a sample?
Anna35 [415]

Answer:

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Step-by-step explanation:

If you collect a sample and calculate the mean and standard deviation, these are sample statistics.

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Clark buys 4 pints of ice cream for $16.39 . What is the cost per cup of ice cream? Round your answer to the nearest, cent if ne
solniwko [45]
Hello! We can go ahead and eliminate C and D, because those answers don't make any sense. There are 2 cups in 1 pint and there are 4 pints. 2 * 4 is 8. There are 8 cups in 4 pints. The cost for that much ice cream is $16.39. To dins the cost per cup, let's divide that number by the number of cups, which is 8. 16.39/8 is 2.04875 or 2.05 when rounded to the nearest hundredth. The cost for a cup of ice cream is $2.05. The answer is A: $2.05.
8 0
3 years ago
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