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3 years ago

How many solutions are there to 17-1/9x=10

Mathematics

1 answer:

S_A_V [24]3 years ago

3 0

Answer:

one solution

Step-by-step explanation:

Given

17 - $\frac{1}{9}$ x = 10 ( subtract 17 from both sides )

- $\frac{1}{9}$ x = - 7 ( multiply both sides by - 9 to clear the fraction )

x = 63

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IM SO DUMB I NEED HELP

alexdok [17]

Answer:

$76.0m^2$ (you have to have the .0 since it says to round to the nearest tenth)

Step-by-step explanation:

The formula for the surface area of a rectangular prism is:

$A=2(wl+hl+hw)$

So just plug in the values.

Height= 4

Width=2

Length=5

$A=2((2)(5)+(4)(5)+(4)(2))\\A=2(10+20+8)\\A=2(38)\\A=76m^2$

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3 years ago

Rewrite as a simplified fraction. 3.5 = ?

Allushta [10]

Answer: 3 1/2 ( mixed number)

Step-by-step explanation:

First you have to put 3.5 into na fraction

In a fraction it is 35/10
as a mixed number, it would be: 3 5/10 ( a mixed number )
Bur we still have to simplify so simplified would be: 3 1/2 ( mixed number)

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3 years ago

A hot air balloon has a height of 50 feet and is rising at a rate of 5 feet per minute. Another hot air balloon has a height of

Katen [24]

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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

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

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

3 0

3 years ago

Please help me at this math proplem thank you pleas help me

Shkiper50 [21]

which math problem?? There is many on the picture

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3 years ago