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Ahat [919]
3 years ago
9

Answer please! (No explanation needed!) <3

Mathematics
2 answers:
son4ous [18]3 years ago
5 0

Hi there! Hopefully this helps!

----------------------------------------------------------------------------------------------

Question A answer: 2.

To find the <u>median</u>, you simply need to order the set from lowest to highest and finding the <u><em>exact middle</em></u>. So it should look like this:

0, 1, <em><u>2</u></em>, 3, 4. So 2 is the median, therefore 2 is the answer to Question A.

------------------------------------------------------------------------------------------------

Question B answer: 2

To find the <u>mean</u>, you have to add all of the numbers together and then you have to <u>divide by the number of items in the set</u>. There are 5 numbers in the set so it should look like this:

0 + 1 + 2 + 3 + 4 = 10.  

Since there 5 numbers in the set, we need to divide by 5.

10 / 5 = 2.

Therefore, 2 is also the answer to Question B.

-------------------------------------------------------------------------------

<em>Edit:</em> <em>Whoops, sorry for the explanation...</em>

Fiesta28 [93]3 years ago
5 0

Answer:

Question a answer: 2

Question b answer: 2

Step-by-step explanation:

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Y varies directly as x. Y=28 when x=2. Find y when x=12
Tatiana [17]

Answer:

Y=168

Step-by-step explanation:

Y varies directly as X

Y=kx

K is a constant

28=k2

K=28/2 =14

Y=14x

Y=14×12

Y=168

4 0
3 years ago
A colony of bacteria is growing at a rate of 0.2 times its mass. Here time is measured in hours and mass in grams. The mass of t
11Alexandr11 [23.1K]

Answer:

  • <u>Question 1:</u>      dm/dt=0.2m<u />

<u />

  • <u>Question 2:</u>     m=Ae^{(0.2t)}<u />

<u />

  • <u>Question 3:</u>      m=10e^{(0.2t)}<u />

<u />

  • <u>Question 4:</u>      m=10g<u />

Explanation:

<u>Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m</u>

<u></u>

a) By definition:  m'=dm/dt

b)  Given:  rate=0.2m

c) By substitution:  dm/dt=0.2m

<u>Question 2: Find the general solution of this equation. Use A as a constant of integration.</u>

a) <u>Separate variables</u>

     dm/m=0.2dt

b)<u> Integrate</u>

           \int dm/m=\int 0.2dt

            ln(m)=0.2t+C

c) <u>Antilogarithm</u>

       m=e^{0.2t+C}

       m=e^{0.2t}\cdot e^C

         e^C=A\\\\m=Ae^{(0.2t)}

<u>Question 3. Which particular solution matches the additional information?</u>

<u></u>

Use the measured rate of 4 grams per hour after 3 hours

            t=3hours,dm/dt=4g/h

First, find the mass at t = 3 hours

            dm/dt=0.2m\\\\4=0.2m\\\\m=4/0.2\\\\m=20g

Now substitute in the general solution of the differential equation, to find A:

          m=Ae^{(0.2t)}\\\\20=Ae^{(0.2\times 3)}\\\\A=20/e^{(0.6)}\\\\A=10.976

Round A to 1 significant figure:

  • A = 10.

<u>Particular solution:</u>

           

             m=10e^{(0.2t)}

<u>Question 4. What was the mass of the bacteria at time =0?</u>

Substitute t = 0 in the equation of the particular solution:

         m=10e^{0}\\\\m=10g

3 0
3 years ago
If the angles are represented in degrees, find both angles: \cos(3x+13)=\sin(2x+42) cos(3x+13)=sin(2x+42)
Sphinxa [80]

Answer:

cos34°

sin56°

Step-by-step explanation:

Sin(2x+42)= sin90-(3x+13)

Sin(2x+42) = sin(90-13-3x)

Sin(2x+42) = sin(77-3x)

2x + 42 = 77-3x

5x. = 35

X = 7

If x = 7

cos(3x+13) = cos((3*7)+13)

cos(3x+13) = cos(21+13)

cos(3x+13)= cos34

And

sin(2x+42) = sin((2*7)+42)

sin(2x+42)= sin (14+42)

sin(2x+42) = sin56

4 0
3 years ago
Determine any data values that are missing from the table, assuming that the data represent a linear
masha68 [24]

Answer:

B

Step-by-step explanation:

5 0
3 years ago
A square pool has an area of 292 square feet.
Korvikt [17]
Since the pool is square, the four sides are equal.
Therefore the length of one side = sqrt(292) = 17.1 to the nearest tenth.
8 0
3 years ago
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