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MatroZZZ [7]
2 years ago
12

E. It costs $1.50 per hour to dry clothes at a laundromat. The rate per hour is $1.50 (slope) and the beginning point is 0 (y-in

tercept). Write a linear equation in y = mx + b form to represent the total cost.
Mathematics
1 answer:
klemol [59]2 years ago
5 0

Answer:

y=1.5x

b is the y intercept but it is 0 so no need to add it. y is the result

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The solution to a system of three equations in three variables is__one point.
Firdavs [7]
The answer for this is B because
6 0
3 years ago
this triangular prism has a length of 20 centimeters, an end base of 6 centimeters and an end height of 8 centimeters. what is t
pochemuha

Answer:

960

Step-by-step explanation:

LxWxH = v

V = 20x 6 x 8

7 0
4 years ago
Integrate the following
enot [183]

I suppose you mean to have the entire numerator under the square root?

\displaystyle\int_2^4\frac{\sqrt{x^2-4}}{x^2}\,\mathrm dx

We can use a trigonometric substitution to start:

x=2\sec t\implies\mathrm dx=2\sec t\tan t\,\mathrm dt

Then for x=2, t=\sec^{-1}1=0; for x=4, t=\sec^{-1}2=\frac\pi3. So the integral is equivalent to

\displaystyle\int_0^{\pi/3}\frac{\sqrt{(2\sec t)^2-4}}{(2\sec t)^2}(2\sec t\tan t)\,\mathrm dt=\int_0^{\pi/3}\frac{\tan^2t}{\sec t}\,\mathrm dt

We can write

\dfrac{\tan^2t}{\sec t}=\dfrac{\frac{\sin^2t}{\cos^2t}}{\frac1{\cos t}}=\dfrac{\sin^2t}{\cos t}=\dfrac{1-\cos^2t}{\cos t}=\sec t-\cos t

so the integral becomes

\displaystyle\int_0^{\pi/3}(\sec t-\cos t)\,\mathrm dt=\boxed{\ln(2+\sqrt3)-\frac{\sqrt3}2}

7 0
3 years ago
Which expression is equivalent to the following complex fraction?
svlad2 [7]

Consider the <em>fraction</em> first ;

{:\implies \quad \sf \dfrac{\dfrac{3}{(x-1)}-4}{2-\dfrac{2}{(x-1)}}}

{:\implies \quad \sf \dfrac{\dfrac{3-4(x-1)}{\cancel{(x-1)}}}{\dfrac{2(x-1)-2}{\cancel{(x-1)}}}}

{:\implies \quad \sf \dfrac{3-4x+7}{2(x-1-1)}}

{:\implies \quad \boxed{\bf{\dfrac{-4x+7}{2(x-2)}}}}

<em>Hence, Option B) is </em><em>required</em><em> </em><em>answer</em>

4 0
2 years ago
Alyssa owns a small business selling bagels. She knows that in the last week 2 customers paid cash, 62 customers used a debit ca
Archy [21]

Answer:

176

Step-by-step explanation:

2+62+77= 141

62/141

400 x 62/141 = 175.8

=176

7 0
3 years ago
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