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nasty-shy [4]
3 years ago
12

Leo wants to paint a mural that covers a wall with an area of 600 square feet. The height of the wall is 2/3 of its length. What

is the length and the height of the wall? answer: the dimensions (length by height) of the wall are __feet by __ feet.

Mathematics
1 answer:
Gre4nikov [31]3 years ago
4 0

Answer: attached

Step-by-step explanation:

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⦁ The population of the Tallahassee metropolitan area was 382,627 at the end of 2017 with a growth rate of 2.78%. Using the expo
a_sh-v [17]

Answer:

The exponential growth model for the population of the Tallahassee metropolitan area is y=382627(1.0278)^t.

Step-by-step explanation:

The exponential formula is

y=b(1+r)^t

Where b is initial population, r is growth rate, (1+r) is growth factor and t is time (in years) after the initial year.

The population of the Tallahassee metropolitan area was 382,627 at the end of 2017. The growth rate is 2.78%.

Here the initial year is 2017 and rate is 0.0278

y=382627(1+0.0278)^t

y=382627(1.0278)^t

Graph of the equation is shown below. The x-axis represents the number of years after 2017 and y-axis represents the total population.

Difference between 2025 and 2017 is 8 years. Put t=8

y=382627(1.0278)^8

y=382627(1.0278)^8

y=476479.828188\approx 476479

Therefore the projected population in 2025 is 476479.

7 0
3 years ago
I need help with this question please. Just fo first question ignore wording below. Only apart of a homework practice
Roman55 [17]

Given the function:

f(x) = x³ + 3x² - 4x + 5

The graph of the function is (taken f:

According to the graph above, the maximum and minimum are 18.13 and 3.87, respectively

3 0
1 year ago
A large mixing tank initially contains 1000 gallons of water in which 40 pounds of salt have been dissolved. Another brine solut
sergey [27]

Answer:

If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is is dA/dt =  15 - 0.005A

Option C) dA/dt =  15 - 0.005A is the correction Answer

Step-by-step explanation:

Given the data in the question;

If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is?

dA/dt = rate in - rate out

first we determine the rate in and rate out;

rate in = 3pound/gallon × 5gallons/min = 15 pound/min

rate out = A pounds/1000gallons × 5gallons/min  = 5Ag/1000pounds/min

= 0.005A pounds/min

so we substitute

dA/dt = rate in - rate out

dA/dt =  15 - 0.005A

Therefore, If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is is dA/dt =  15 - 0.005A

Option C) dA/dt =  15 - 0.005A is the correction Answer

8 0
3 years ago
Find the zeros of y = x + 6x- 4 by completing the square.
dsp73

Answer:

\large\boxed{x=-3\pm\sqrt{13}}

Step-by-step explanation:

(a+b)^2=a^2+2ab+b^2\qquad(*)\\\\\\x^2+6x-4=0\qquad\text{add 4 to both sides}\\\\x^2+2(x)(3)=4\qquad\text{add}\ 3^2=9\ \text{to both sides}\\\\\underbrace{x^2+2(x)(3)+3^2}_{(*)}=4+9\\\\(x+3)^2=13\Rightarrow x+3=\pm\sqrt{13}\qquad\text{subtract 3 from both sides}\\\\x=-3\pm\sqrt{13}

8 0
3 years ago
Yeah I know pretty easy I’m just lost so can anyone help put
alekssr [168]

Options A,C,D and E are the correct answers

5 0
3 years ago
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