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3 years ago

Answer please! (No explanation needed!) <3

Mathematics

2 answers:

son4ous [18]3 years ago

5 0

Hi there! Hopefully this helps!

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Question A answer: 2.

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

0, 1, 2, 3, 4. So 2 is the median, therefore 2 is the answer to Question A.

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Question B answer: 2

To find the mean, you have to add all of the numbers together and then you have to divide by the number of items in the set. 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.

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Edit: Whoops, sorry for the explanation...

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:

Question 1: $dm/dt=0.2m$

Question 2: $m=Ae^{(0.2t)}$

Question 3: $m=10e^{(0.2t)}$

Question 4: $m=10g$

Explanation:

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

a) By definition: $m'=dm/dt$

b) Given: $rate=0.2m$

c) By substitution: $dm/dt=0.2m$

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

a) Separate variables

$dm/m=0.2dt$

b) Integrate

$\int dm/m=\int 0.2dt$

$ln(m)=0.2t+C$

c) Antilogarithm

$m=e^{0.2t+C}$

$m=e^{0.2t}\cdot e^C$

$e^C=A\\\\m=Ae^{(0.2t)}$

Question 3. Which particular solution matches the additional information?

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.

Particular solution:

$m=10e^{(0.2t)}$

Question 4. What was the mass of the bacteria at time =0?

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

$m=10e^{0}\\\\m=10g$

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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

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3 years ago

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masha68 [24]

Answer:

Step-by-step explanation:

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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