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Oxana [17]
3 years ago
14

(50 points) Could someone help me with this? Part A: Solve –mk – 90 > 85 for m. Part B: Solve 3c – 5f = 55 for f. Show your w

ork for both but please don't make it too complicated.
Mathematics
2 answers:
PilotLPTM [1.2K]3 years ago
6 0

A:

-mk - 90 > 85

-mk - 90 + 90 > 85 + 90

-mk > 175

-mk / k > 175 / k

-m > 175/k

-m * -1 < 175/k * -1

m < -175/k


Part B:

3c - 5f = 55

3c - 5f - 3c = 55 - 3c

-5f = 55 - 3c

-5f/5 = (55 - 3c) / 5

-f = 55/5 - 3c/5



labwork [276]3 years ago
3 0

Answer:

90>85

Step-by-step explanation:

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The population p (in millions) of Italy from 1990 through 2008 can be approximated by the model p=56.8e^o.oo15t , where t repres
dimulka [17.4K]

As we already have the model that describes the change of the population in Italy in terms of the years that have elapsed, we only have to replace the conditions that are requested in that equation.

Therefore to find the population of Italy in the year 2000 (t = 10 years)  substitute t = 10 in the equation and have:

p = 56.8e^{0.0015*10}\\

p=57.6584 million people

To find the population of Italy in 2008 (t = 18 years)

substitute t = 18 in the equation and have:

p=56.8e ^{0.0015*18}\\

p=58.3545 million people


To predict the population in Italy for 2015 and 2020 with this model, we substitute in the equation t = 25 and t = 30

t = 25

p=56.8e^{0.0015*25}

p=58.9704 million people


 t = 30

p=56.8e^{0.0015*30}

p=59.4144 million people

8 0
3 years ago
I need help with this asap please! Any help will be appreciated!
pantera1 [17]

Answer:

n=3

Step-by-step explanation:

64^(1/3)

Note that the exponent 1/3 given stands for the third root of the integer.

64^(1/3) =4

Check: 4 x 4 x 4 = 64

(By comparison of 64^(1/3) to 64^(1/n) means n= 3)

∜(64^(1/3)) =∜(4) = 1.41421356

The real number is

All the roots are:

1.41421356

1.41421356i

−1.41421356

−1.41421356i

4 is not a perfect 4th power.

7 0
3 years ago
Suppose you need to minimize the cost of fencing in a rectangular region with a total area of 450 square feet. The material that
natta225 [31]

Answer:

The problem is stated as:

Min C = 15*(2*x +y) + 21*y

subject to x*y = 450

Step-by-step explanation:

Given that the region is rectangular, it has two opposite sides called x and two other opposite sides called y (both measured in feet). Then, the area (in square feet) is:

A = x*y = 450

One of the sides called y costs $21 per linear foot. The other 3 sides (two x and one y) costs $15 per linear foot. Then, the cost function is:

C = 15*(2*x +y) + 21*y

5 0
3 years ago
Help anyone plz I'm not understanding this well
Nikolay [14]
I believe for the first part x would equal -2 and y would equal -1
hope this helps!
8 0
3 years ago
Help me with this please!!
ser-zykov [4K]

Answer:

-1.3

Step-by-step explanation:

The graph shows the straight line passing through the points (3,-1) and (-3,7).

The slope of the line passing through the points (x_1,y_1) and (x_2,y_2) is

\dfrac{y_2-y_1}{x_2-x_1}

In your case, the slope is

\dfrac{7-(-1)}{-3-3}\\ \\=\dfrac{7+1}{-6}\\ \\=-\dfrac{8}{6}\\ \\=-\dfrac{4}{3}\\ \\\approx -1.3

The rate of change is -1.3

8 0
3 years ago
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