<img src="https://tex.z-dn.net/?f=y%20%7B%3F%7D%5E%7B2%7D%20%20-%2018y%20%2B%2081" id="TexFormula1" title="y {?}^{2}

All categories

igomit [66]

4 years ago

" alt="y {?}^{2} - 18y + 81" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

guajiro [1.7K]4 years ago

7 0

$\bf y^2-18y+81\implies \stackrel{FOIL}{(y-9)(y-9)}$

You might be interested in

(1 point) a tank contains 1060 l of pure water. a solution that contains 0.06 kg of sugar per liter enters the tank at the rate

kirill115 [55]

(a) There is 0 kg of sugar in the tank at the beginning since it contains pure water at the start. The sugar only comes from the solution.

(b)

$S' = f(t,S) = \left(0.06 \dfrac{\text{kg}}{\text{L}}\right)\left(9\dfrac{\text{L}}{\text{min}}\right) - \left(\dfrac{S}{1060} \dfrac{\text{kg}}{\text{L}}\right)\left(9\dfrac{\text{L}}{\text{min}}\right) \ \Rightarrow \\ \\ S' = 0.54 \text{ kg}/\text{min} - \dfrac{9S}{1060}$

So yes, you enter S' = 0.54 - (9S/1060)

(c)

$\displaystyle\frac{dS}{dt} = 0.54 - \frac{9S}{1060} \ \Rightarrow\ \frac{dS}{dt} = \frac{572.4 - 9S}{1060}\ \Rightarrow\ \dfrac{dS}{572.4 - 9S} = \frac{1}{1060} dt\ \Rightarrow \\ \\
\int \dfrac{dS}{572.4 - 9S} = \int \frac{1}{1060} dt\ \Rightarrow\textstyle\ -\frac{1}{9}\ln|572.4 - 9S| = \frac{1}{1060}t + C \\ \\
S(0) = 0 \ \Rightarrow\ -\frac{1}{9}\ln|572.4 - 0| = \frac{1}{1060}(0) + C\ \Rightarrow\ C = -\frac{1}{9} \ln 572.4$

$-\frac{1}{9}\ln|572.4 - 9S| = \frac{1}{1060}t -\frac{1}{9} \ln 572.4\ \Rightarrow \\ \\
\ln|572.4 - 9S| = \ln 572.4 - \frac{9}{1060}t \ \Rightarrow \\ \\
|572.4 - 9S| = e^{\ln 572.4 - 9t/1060}\ \Rightarrow \\ \\
572.4 - 9S= \pm 572.4 e^{-9t/1060}\ \Rightarrow \\ \\
S = \frac{-1}{9}\left(-572.4 \pm 572.4 e^{-9t/1060}\right)$

But only (+) satisfies $S(0) = 0$

$S= -\frac{1}{9}\left(-572.4 + 572.4 e^{-9t/1060}\right) \\ \\
S= 63.6 - 63.6 e^{-9t/1060}\text{ kg}$

Enter in S = 63.6 - 63.6 * e^(-9t/1060)

3 0

3 years ago

Pedro was stocking up on uniforms for the new

Kazeer [188]

Answer

Step-by-step explanation:

141.75 - 68 = 73.75

73.75 / 14.75 = 5

8 0

3 years ago

198 sq.yd. 8 sq. ft. x 7 =

vichka [17]

Answer:

Step-by-step explanation:

Give the data

198 sq.yd × 8 sq ft ×7

Note that we have two unit of measurement which are yd and ft and 7 is just a constant

So we need to convert them,

Then, 1 yd = 3ft

Also notice that they are square.

Then square both sides of the comparison

(1 yd)² = (3 ft)²

1 sq.yd = 9 sq.ft

Then, back to our question,

198 sq.yd × 8 sq ft ×7

Let covert to ft

198 sq.yd× (9 sq.ft/1 sq.yd) ×8 sq.ft×7

sq.yd cancels out

99,792 sq.ft × sq.ft

99,792 ft⁴

Let convert to yd

198 sq.yd × 8 sq ft ×7

198 sq.yd×8 sq.ft (1 sq.yd / 9sq.ft )×7

1,232 sq.yd × sq.yd

1,232 yd⁴

4 0

3 years ago

Read 2 more answers

I will mark you as the brainiest if you get this correct<br> thx x

Alekssandra [29.7K]

Answer:

The area of triangle P is 12cm squared. The mathematical term for quadlilateral Q is called a Kite.

Step-by-step explanation:

7 0

3 years ago

4-3 Interpreting Rate of Change and y-Intercept in a Real - World Context - Part 1

Vadim26 [7]

To be honest I would need a picture to answer this question

3 0

3 years ago