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3 years ago

Which is larger 14/25 or 0.54

Mathematics

2 answers:

djyliett [7]3 years ago

5 0

Answer:

14/25

Step-by-step explanation:

Anastasy [175]3 years ago

5 0

Answer:

Step-by-step explanation:

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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

Need help! Anyone know?

antiseptic1488 [7]

It’s 90 degrees because it’s a right angle

6 0

2 years ago

Given that f(x) = X + 3 2 a) Find f(2) b) Find f'(x) c) Find f"(12)

joja [24]

Answer:

Step-by-step explanation:

Unclear. Did you mean f(x) = 2^(x + 3)? If so, the parentheses are mandatory.

Assuming that f(x) = 2^(x + 3) is correct, then:

a) f(2) = 2^(2 + 3) = 2^5 = 32

b) f'(x) = 2^(x + 3)*(x + 3)' = 2^(x + 3)(1) = 2^(x + 3)

c) f"(x) = 2^(x + 3) (same as in (b)), so that:

f"(12) = 2^15

8 0

2 years ago

A pediatrician wants to conduct a survey to determine if the number of children per family is statistically the same in the Unit

kari74 [83]

Answer:

There is not enough information to know if there is a statistically significant difference in the number of children per family between the three countries.

Step-by-step explanation:

There are other important information that are necessary in order to reach a decisive conclusion. This includes not just the f value only, but the alpha value, f critical value and the p-value after conducting the one way ANOVA.

Since we do not have information about the p value, as well as the alpha value there is no way to compare the effects of all the variables.

Therefore, no decision can be made by the Pediatrician without knowing what the p value is and the apha value is.

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3 years ago

Which of the following is the Triangle Proportionality Theorem?

aivan3 [116]

A a line parallel to one side of a triangle divides the other two sides

8 0

3 years ago

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