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Makovka662 [10]

3 years ago

8

The soot produced by a garbage incinerator spreads out in a circular pattern. The depth, H(r), in millimeters, of the soot depos

ited each month at a distance r kilometers from the incinerator is given by H(r)=0.113e−2.1r.

1 answer:

Anon25 [30]3 years ago

4 0

Answer:

Step-by-step explanation:

Check attachment for solution

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ale4655 [162]

We can split this up into 3 rectangles. 2 vertical ones (8 x 3) and one horizontal one in the middle (5 x (8 - 5)

8 x 3 = 24
24 x 2 = 48

5 x (8-5) = 5 x 3 = 15

now add 48 + 15 = 63 cm^2

6 0

4 years ago

In the month of June, the temperature in Johannesburg, South Africa, varies over the day in a periodic way that can be modeled a

Art [367]

Answer:

The answer is " $\bold{T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5}$ "

Step-by-step explanation:

Given value:

Temp-maximum= $18^{\circ}$

Temp. minimum = $3^{\circ}$

It is halfway between 10 am and 10 pm to 4 am.

The sinus and cosine roles could be used throughout the year to predict fluctuations in climate models. Its type of formula that can be used to model such information is:

$T = A \cos B(t-C) + D,$ where parameters are A, B , C, D, T is the ° C temperature and t is the time (1-24)

$A = amplitude = \frac{(T_{max} - T_{min})}{2}\\\\$

$= \frac{(3 - 18)}{2}\\\\= - \frac{15}{2}\\\\ = -7.5$

$B = \frac{2 \pi}{24}\\\\$

$= \frac{\pi}{12}$

$C = \text{ units translated to the right}= 4$

$D = y_{min} + amplitude = units \ translated \ up\\\\$

D = 7.5 + 3 = 10.5

Its trigonometric function equation that model temperature T hours after midnight in Johannesburg t.

$T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5$

6 0

4 years ago

Find all possible values of k so that x^2 + kx - 32 can be factored.

daser333 [38]

Answer:

Step-by-step explanation:

The posssible factors are

x^2 + 4x - 32

(x+8)(x-4)

x^2+ 14x - 32

(x+16)(x-2)

(x+32)(x-1)

x^2+31x-32

8 0

4 years ago

Mr.jones is planning to plant grass and place a fence in a small area for his dog the rectangular dimensions are 12 x15 feet the

cestrela7 [59]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Average rate of change

Ganezh [65]

Answer:

The average rate of change in that space would be 12.

Step-by-step explanation:

To find this, use the two ordered pairs (-1, 3) and (1, 27) in the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (27 - 3)/(1 - -1)

m = 24/2

m = 12

7 0

3 years ago