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2 years ago

In November, the Sport Shop sold

Mathematics

1 answer:

Neko [114]2 years ago

5 0

Answer:

March is the first month

Step-by-step explanation:

If we make a graph. We can see that the quantity of sold water skis overpasses the quantity of snow skis in the month of March.

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Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 mill

abruzzese [7]

Answer:

V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794 million per year

Step-by-step explanation:

Given that oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 million barrels of oil in the well; six years later 1,500,000 barrels remain.

i.e. if V stands for volume of oil, then

$V' =kV\\dv/V= kdt\\ln V = kt+C\\V = Ae^{kt}$

To find A and k

V(0) = A = 3 million

Hence V = $3e^{kt}$

V(6) = 1.5

i.e. $1.5 = 3e^{6k}\\ln 1.5 =ln 3 +6k\\k = -0.11552$

$V(t) = 3e^{-0.11552t}$

a) Using the above value of k , we have

$V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794$ million per year.

4 0

3 years ago

An apartment rents for $800 a month the monthly rent is expected to increase $15 each year what will the rent at the end of the

Nataly [62]

To find this you would do 800 + 15x where x is the amount of years.

For 9 years it would be 800 + 15(9) which is 800 + 135.

At the end of 9 years, the apartment's rent would be $935. I hope that's utilities included because... yikes...

5 0

2 years ago

HELP ASAP

vovangra [49]

Answer:

See below and the attachment

Step-by-step explanation:

Refer to attached graph.

It includes the points and a best fit line produced by a graphing calculator.

17. The scatter plot is attached
18. There is a positive slope. Number of field goal attempts increase as minutes played increase.
19. The point is plotted: 2500 minutes gives about 880 field goal attempts.

4 0

2 years ago

R+r+2r-r+4r combine like terms and solve

goldenfox [79]

R+r+2r-r+4r

R + r + 2R + 4r = R+7r

R+7r - -r =

R+6r

6 0

2 years ago

Show that 4(m + 7) + (m + 3)^2 = (m + 3)(m + 7) + 16

anygoal [31]

Step-by-step explanation:

$4(m+7)+(m+3)^2=(m+3)(m+7)+16\\\\L_S=4(m+7)+(m+3)^2\\\\\text{use the distributive property}:a(b+c)=ab+ac\\\text{and formula}:\ (a+b)^2=a^2+2ab+b^2\\\\L_S=(4)(m)+(4)(7)+m^2+2(m)(3)+3^2\\\\L_S=4m+28+m^2+6m+9\qquad\text{combine like terms}\\\\L_S=m^2+(4m+6m)+(28+9)\\\\L_S=m^2+10m+37$

$R_S=(m+3)(m+7)+16\\\\\text{use FOIL}:(a+b)(c+d)=ac+ad+bc+bd\\\\R_S=(m)(m)+(m)(7)+(3)(m)+(3)(7)+16\\\\R_S=m^2+7m+3m+21+16\qquad\text{combine like terms}\\\\R_S=m^2+(7m+3m)+(21+16)\\\\R_S=m^2+10m+37\\\\\boxed{L_S=R_S}$

4 0

2 years ago