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3 years ago

The number of residents in a city is 57,000 people. The population is increasing each

1 answer:

8 0

Y = 0.012x + 57,000

12% translates to 0.012. That number is in front of the x because it changes yearly.

The 57,000 is added afterwards (b) because it was there from the beginning

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What is the answer to this image

polet [3.4K]

27 square units is the answer

3 0

3 years ago

Which of the following functions are solutions of the differential equation y" – 4y' + 3y = 0? CA. y(x) = xe-3x B. y(x) = et C.

Kipish [7]

Answer:

$y(x)=c_1e^{x}+c_2e^{3x}$

$y(x)=e^x$

$y(x)=e^{3x}$

Option B is correct. $y=e^t$

Step-by-step explanation:

Given: y''-4y'+3y = 0

It is a linear differential equation.

First we make characteristic equation.

$m^2-4m+3=0$

Now factor the equation and we get

$(m-3)(m-1)$

$m=1,3$

Here, we have two distinct root.

$y(x)=c_1e^{m_1t}+c_2e^{m_2t}$

Solution of differential equation:

$y(x)=c_1e^{x}+c_2e^{3x}$

where, c₁ and c₂ are constants.

Hence, The solution of the given differential equation is $y(x)=c_1e^{x}+c_2e^{3x}$

$y(x)=e^x$

$y(x)=e^{3x}$

7 0

4 years ago

A landscaper has built a U-shaped raised bed in a vegetable garden as shown in the figure. How many cubic yards of soil should b

zaharov [31]

First calculate the area of the shaded region by considering the U-shaped bed as formed by three rectangles, as follow:

where the lengths of the sides of the rectangles corresponds with the dimensions of the U-shaped bed.

Then, for the area of the figure, use the formula for the area of a rectangle, for all three rectangles, as follow:

A = 5*18 + 3*20 + 5*18

A = 90 + 60 + 90

A = 240

Then, the area is 240 in^2

Next, convert the previous result to yd^2. Use the equivalence 1 yd = 36 in:

$240in^2\cdot\frac{(1yd)^2}{(36in)^2}=0.185yd^2$

Now, to find the volume convert 30 in to yards:

$30in\cdot\frac{1yd}{36in}=0.83yd$

Finally, multiply the previous result by the area of the figure:

$0.185yd^2\cdot0.83yd=0.154yd^3$

7 0

1 year ago

PLEASE HELP!!

anyanavicka [17]

Answer: random sampling

Step-by-step explanation: Random sampling is where each member of the sample is randomly selected from the population. Since Josh chose every third female customer, he randomly chose the sample.

6 0

3 years ago

Read 2 more answers

NEED HELP ASAP algebra 2

Marina CMI [18]

Answer:

b = sqrt(39)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2

5^2 + b^2 = 8^2

25+b^2 =64

b^2 =64-25

b^2 =39

Take the square root of each side

b = sqrt(39)

7 0

4 years ago

Read 2 more answers