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3 years ago

Please help me answers this question

Mathematics

1 answer:

Cloud [144]3 years ago

8 0

Part 1
The slope is
(change in y)/(change in x) = (1-0)/(2-2) = 1/0

Part 2
The value of 1/0 is "undefined" so there is no way to carry out the arithmetic involved in the traditional version of the point-slope equation.
y -0 = (1/0)(x -2)

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Lucky Joe won $32,000,000 in a lottery. Every year for 10 years he spent 50% of what was left. How much did Lucky Joe have after

aniked [119]

Answer:

31,250

Step-by-step explanation:

32,000,000x0.5= 16,000,000

repeat the process 10 times and you've got 31,250

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3 years ago

A rectangular flower bed is five feet longer than it is wide. its area is eighty-four square feet.

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Lets say w is the width of the flower bed. We can make an equation to find the area.
The length of the of the flower bed is (w+5) and the width is w.
To find the area we need to multiply the length(w+5) by the width(w) and set it equal to 84,
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3 years ago

Which fractions are equievalent? a.20/5 b.-20/5 c.20/-5 d. -20/-5 e.- 20/5

pogonyaev

Answer:

D) -20/-5 because a negative divided by a negative is a positive.

Step-by-step explanation:

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3 years ago

Simplify the expression by using a double-angle formula or a half-angle formula. (a) 2 tan(5°) 1 − tan2(5°)

antoniya [11.8K]

The question is related to trigonometry and we have to use the formula of double angle .

Here we use double angle formula of tangent function which is

$tan(2x) = \frac{2tan(x)}{1-tan^2(x)}$

Given expression is

$\frac{2tan (5 \degree)}{1-tan^2(5 \degree)}$

Comparing it with double angle formula, we will get x = 5

SO the required expression is equal to

$\frac{2tan (5 \degree)}{1-tan^2(5 \degree)} =tan(2*5 )$

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3 years ago

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

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

<u>So the maximum amount of red kryptonite present is 33.27 g after 4.93 hours.</u>

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3 years ago