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3 years ago

Please help will mark brainliest

Mathematics

1 answer:

slega [8]3 years ago

6 0

Answer:

i think what you do is you set the 11x+4 equal to 180 then you find X

so X is 16

Step-by-step explanation:

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Write an equation of the line below.

iVinArrow [24]

(0,-2)

(5,-7)

hope it helps u

5 0

2 years ago

Read 2 more answers

Kryptonite is a material found on the planet Krypton and has various effects, most importantly on Superman. The most common type

Rashid [163]

Answer:

The maximum amount of red kryptonite present is 33.27 g after 4.93 hours.

Step-by-step explanation:

dy/dt = y(1/t - k)

separating the variables, we have

dy/y = (1/t - k)dt

dy/y = dt/t - kdt

integrating both sides, we have

∫dy/y = ∫dt/t - ∫kdt

㏑y = ㏑t - kt + C

㏑y - ㏑t = -kt + C

㏑(y/t) = -kt + C

taking exponents of both sides, we have

$\frac{y}{t} = e^{-kt + C} \\\frac{y}{t} = e^{-kt}e^{C} \\\frac{y}{t} = Ae^{-kt} (A = e^{C})\\y = Ate^{-kt}$

when t = 1 hour, y = 15 grams. So,

$y = Ate^{-kt}\\15 = A(1)e^{-kX1}\\15 = Ae^{-k}$ (1)

when t = 3 hours, y = 30 grams. So,

$y = Ate^{-kt}\\30 = A(3)e^{-kX3}\\30 = 3Ae^{-3k}$ (2)

dividing (2) by (1), we have

$\frac{30}{15} = \frac{3Ae^{-3k}}{Ae^{-k}} \\2 = 3e^{-2k}\\\frac{2}{3} = e^{-2k}$

taking natural logarithm of both sides, we have

-2k = ㏑(2/3)

-2k = -0.4055

k = -0.4055/-2

k = 0.203

From (1)

$A = 15e^{k} \\A = 15e^{0.203} \\A = 15 X 1.225\\A = 18.36$

Substituting A and k into y, we have

$y = 18.36te^{-0.203t}$

The maximum value of y is obtained when dy/dt = 0

dy/dt = y(1/t - k) = 0

y(1/t - k) = 0

Since y ≠ 0, (1/t - k) = 0.

So, 1/t = k

t = 1/k

So, the maximum value of y is obtained when t = 1/k = 1/0.203 = 4.93 hours

$y = 18.36(1/0.203)e^{-0.203t}\\y = \frac{18.36}{0.203}e^{-0.203X1/0.203}\\y = 90.44e^{-1}\\y = 90.44 X 0.3679\\y = 33.27 g$

So the maximum amount of red kryptonite present is 33.27 g after 4.93 hours.

3 0

3 years ago

3. What value of makes a true equivalent fraction statement. 5 30 54 C

VashaNatasha [74]

Answer:

$x$ = 9

Step-by-step explanation:

We need to find $x$ which will make an equivalent fraction statement.

$\frac{5}{x} = \frac{30}{54}$

5 x 6 = 30

$x$ x 6 = 54 (to find $x$ we should do 54 ÷ 6 which = 9)

So:

$\frac{5}{6} = \frac{30}{54}$

$x$ = 9

hope this helps :)

5 0

2 years ago

Read 2 more answers

Leo's bank balances at the end of months 1, 2, and 3 are $1,500.00, $1,530.00, and $1,560.60, respectively. The balances form a

Ipatiy [6.2K]

After 9months it will cost $1770

5 0

2 years ago

Solve P=2(l+w) for l

ira [324]

Answer:

this is the answer all you had to do was search it up

6 0

2 years ago