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2 years ago

Find the number in which 4 has highest value.

Mathematics

2 answers:

Andru [333]2 years ago

7 0

Step-by-step explanation:

the number in which 4 has the highest value is

6748.9251

Nataly_w [17]2 years ago

7 0

Answer:

6834.2590

Step-by-step explanation:

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[Grade 7 set 1]

Veseljchak [2.6K]

Step-by-step explanation:

No it would because you have to find the number for why and the two is the power so no it not going to be.

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3 years ago

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What is the exponential form of the logarithmic equation? 5 = logo.9 0.59049

galina1969 [7]

^ means to the power of or exponent

logb(x) = y is b^y = x

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3 years ago

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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

U(x)=-2-2x+7 please help

Black_prince [1.1K]

Simplifying u(x) = -2 + -2x + 7 Multiply u * x ux = -2 + -2x + 7 Reorder the terms: ux = -2 + 7 + -2x Combine like terms: -2 + 7 = 5 ux = 5 + -2x Solving ux = 5 + -2x Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Divide each side by 'x'. u = 5x-1 + -2 Simplifying u = 5x-1 + -2 Reorder the terms: u = -2 + 5x-1

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3 years ago

Given any two numbers,which is greater,the LCM of the numbers or the GCF of the numbers? Why?

choli [55]

The answer is GCF because you need to choose tha same number for both numbers and that number has to make both of them equal and the number is gonna be greater!

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3 years ago