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3 years ago

Please help me this is for a grade

Mathematics

1 answer:

melomori [17]3 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

product means to multiply, hence the product of 12 and k is

12 × k = 12k ( this is 84 means equal to 84 ), that is

12k = 84 ( divide both sides by 12 )

k = 7 ← is the solution

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The intensity of a sound varies inversely where of its distance from the source at a distance of 1 meter the intensity of a jet

xz_007 [3.2K]

Answer:

1/250 W/m² or 0.004 W/m² or 4 mW/m²

Step-by-step explanation:

The cargo worker is (50 m)/(1 m) = 50 times the reference distance. The intensity varies as the inverse of the square of the distance, so will be ...

(1/50)²×(10 W/m²) = 10/2500 W/m² = 1/250 W/m²

This might be more conveniently written as 4 mW/m².

4 0

3 years ago

What is the third quartile of this data set?

Lena [83]

Answer:

40 so C would be your answer.

8 0

2 years ago

7. A large population of ALOHA users manages to generate 60 requests/s, including originals and retransmissions. Time is slotted

Debora [2.8K]

Answer:

P(success at first attempt) = 0.1353

Step-by-step explanation:

This question follows poisson distribution. Thus, the formula is;

P(k) = (e^(-G) × (G)k)/k!

where;

G is number of frames generated in one frame transmission time(or frame slot time)

Let's find G.

To do this, we need to find number of frames generated in 1 slot time which is given as 50 ms.

Now, in 1000 ms, the number of frames generated = 50

Thus; number of frames generated in 50 ms is;

G = (50/1000) × 50

G = 2.5

To find the chance of success on the first attempt will be given by;

P(success at first attempt) = P(0) = e^(-G) = e^(-2) = 0.1353

8 0

3 years ago

Question 1: The water level in a tank can be modeled by the function h(t)=4cos(+)+10, where t is the number of hours

Amanda [17]

Answer:

Question 1: The hours that will pass between two consecutive times, when the water is at its maximum height is π hours

Question 2: Sin of the angle is -0.8

Step-by-step explanation:

Question 1: Here we have h(t) = 4·cos(t) + 10

The maximum water level can be found by differentiating h(t) and equating the result to zero as follows;

$\frac{\mathrm{d} h(t)}{\mathrm{d} t} = \frac{\mathrm{d} \left (4cos(t) + 10 \right )}{\mathrm{d} t} = 0$

$\frac{\mathrm{d} h(t)}{\mathrm{d} t} = - 4 \times sin(t) = 0$

∴ sin(t) = 0

t = 0, π, 2π

Therefore, the hours that will pass between two consecutive times, when the water is at its maximum height = π hours.

Question 2:

B = (3, -4)

Equation of circle = x² + y² = 25

Here we have

Distance moved along x coordinate = 3

Distance moved along y coordinate = -4

Therefore, we have;

$Tan \theta = \frac{Distance \ moved \ along \ y \ coordinate}{Distance \ moved \ along \ x \ coordinate} = \frac{-4}{3}$

$\therefore \theta = Tan^{-1}(\frac{-4}{3}) = -53.13^{\circ}$

Sinθ = sin(-53.13) = -0.799≈ -0.8.

5 0

3 years ago

The sum of ages Afful and Naomi is 34. In 5 years time , Afful will be 2 times the age on Naomi now. How old are they now.

GenaCL600 [577]

Answer:

Afful is 21 and Naomi is 13.

Step-by-step explanation:

Let $A$ represent the age of Afful and $N$ represent the age of Naomi.

The sum of their ages is 34. In other words:

$A+N=34$

In 5 years time, Afful will be two times the age of Naomi <em>now</em>. In other words:

$A+5=2N$

Solve for the system. Substitute.

$A+N=34\\A=34-N\\34-N+5=2N\\39=3N\\N=13\\\\A=34-N\\A=34-(13)\\A=21$

Afful is currently 21 and Noami is currently 13.

7 0

3 years ago

Read 2 more answers