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Lina20 [59]
3 years ago
7

Mr. Vazquez determines that the area of a bathroom in his house is 25 square feet less than 1/5 of the area of the living room.

If the bathroom measures 35 square feet, what is the area of the living room?\
Mathematics
2 answers:
pav-90 [236]3 years ago
8 0

Answer:

300 SF

Step-by-step explanation:

just took the test

timofeeve [1]3 years ago
4 0
25
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Solve the inequality<br> x2-x-12 &lt; 0<br> +
Olin [163]

Step-by-step explanation:

x2-x-12<0

x2-x<12

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4 0
3 years ago
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A 1 newton force will stretch a spring 1 meter. The spring/mass system is damped by a force that is 8 times the instantaneous ve
sukhopar [10]

Answer:

Step-by-step explanation:

Given the mass is m =16kg, and 1N force will stretch the spring 1 m.

That is, F =1N,Z =1m. Now find the spring constant k:

F = kL = 1 = k(1) = k= 1N/m.

The damping force is 8times the instantaneous velocity, this means β = 8,

and the external force is f(t) = 0

Initially the object compressed 0.6m above equilibrium position,

with the downward velocity is 2m/s.

The differential equation for a spring mass system with

damping force and extemal force is: mx" + βxt + kx = f(t).

so, 16x"+ 8x' + x= 0, x(0} = -0.6, x'(0)= 2m/s.

Now solve the DE:

The auxilary equation for the homogeneous equation is 16x"+8x'+x=0

solving we get, 16r² + 8r + 1 = 0 => (4r + 1)² = 0 => r = - 1/4.

Then the general solution for the homogenous system is: x(t)=c_1e^{-t/4} +c_2te^{-t\4}.

Use the initial conditions x (0) = -0.6, x'(0) = 2m/s:

x(0)=c_1e^{0} +c_2(0)e^{0}=-0.6=c_1\\x'(t)=-\frac{1}{4}c_1e^{-t/4}+c_2e^{-t/4}-\frac{1}{4}c_2te^{-t/4}\\x'(0)=-\frac{1}{4}c_1e^0+c_2e^0-\frac{1}{4}c_2(0)e^0=2=-\frac{1}{4}(-0.6)+c_2=c_2=1.85.

Hence, x(t) =-0.6e^{-t/4}+1.85te^{-t/4}.

5 0
3 years ago
Y = -(x+5)2 + 9 into standard form
mote1985 [20]

Answer:

y = -2x - 1

Step-by-step explanation:

y = -(x+5)2 + 9

Foil method to get rid of parenthesis

y= -2x - 10 + 9

y = -2x - 1

Have a great day!

(Please mark this question as brainiest if it worked or ask me a question if you do not understand)

4 0
2 years ago
There were 32 skaters at the rink on Friday. On Saturday, there were 27 skaters at the
shtirl [24]

Answer: 32 + 27 = 59

Step-by-step explanation:

5 0
3 years ago
Circle a has a radius of 3 and circle b has a radius of 11. if the idstance between the center of the circles in 17, find the le
Andrews [41]
Use Pythagorean Theorem:
a² + b² = c²
"a" is one side of the right triangle.
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Answer: the length of the common external tangent is 15.

3 0
3 years ago
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