Ask question

Ask question

All categories

3 years ago

15

The scale model of a building is 5.4 feet tall. If the original building is 810 meters tall, what was the scale used to make the

model?

1 answer:

ANEK [815]3 years ago

4 0

1 meter = 3.2808399 feet

<span>810m * 3.2808399 ft/m </span>
<span>2657.48 feet </span>

<span>2657.48/5.4 </span>
<span>492.12592593 </span>

<span>Scale </span>
<span>1:492 </span>

You might be interested in

Need help am being timed pls

goldenfox [79]

What are the answer options?

6 0

2 years ago

Results of a poll stated that 40% of U.S. adults identify as Republican, and you want to test the claim at alpha = 0.05. What le

Nookie1986 [14]

Answer:

The confidence level is 95% or 0.95.

Step-by-step explanation:

Consider the provided information.

Results of a poll stated that 40% of U.S.

If you want to test the claim at alpha = 0.05.

As we know:

Confidence level = 1 - significance level ( $\alpha$ )

Confidence level = $1 - 0.05$

Confidence level = $0.95$

Therefore, the confidence level is 95% or 0.95.

4 0

3 years ago

(10 points) Consider the initial value problem y′+3y=9t,y(0)=7. Take the Laplace transform of both sides of the given differenti

Rashid [163]

Answer:

The solution

$Y (s) = 9( -1 +3 t + e^{-3 t} ) + 7 e ^{-3 t}$

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Consider the initial value problem y′+3 y=9 t,y(0)=7

<em>Step(i)</em>:-

Given differential problem

y′+3 y=9 t

<em>Take the Laplace transform of both sides of the differential equation</em>

L( y′+3 y) = L(9 t)

<em>Using Formula Transform of derivatives</em>

<em> L(y¹(t)) = s y⁻(s)-y(0)</em>

<em> By using Laplace transform formula</em>

<em> </em> $L(t) = \frac{1}{S^{2} }$ <em> </em>

<em>Step(ii):-</em>

Given

L( y′(t)) + 3 L (y(t)) = 9 L( t)

$s y^{-} (s) - y(0) + 3y^{-}(s) = \frac{9}{s^{2} }$

$s y^{-} (s) - 7 + 3y^{-}(s) = \frac{9}{s^{2} }$

Taking common y⁻(s) and simplification, we get

$( s + 3)y^{-}(s) = \frac{9}{s^{2} }+7$

$y^{-}(s) = \frac{9}{s^{2} (s+3}+\frac{7}{s+3}$

<em>Step(iii</em>):-

<em>By using partial fractions , we get</em>

$\frac{9}{s^{2} (s+3} = \frac{A}{s} + \frac{B}{s^{2} } + \frac{C}{s+3}$

$\frac{9}{s^{2} (s+3} = \frac{As(s+3)+B(s+3)+Cs^{2} }{s^{2} (s+3)}$

On simplification we get

9 = A s(s+3) +B(s+3) +C(s²) ...(i)

Put s =0 in equation(i)

9 = B(0+3)

<em> B = 9/3 = 3</em>

Put s = -3 in equation(i)

9 = C(-3)²

<em>C = 1</em>

Given Equation 9 = A s(s+3) +B(s+3) +C(s²) ...(i)

Comparing 'S²' coefficient on both sides, we get

9 = A s²+3 A s +B(s)+3 B +C(s²)

<em> 0 = A + C</em>

<em>put C=1 , becomes A = -1</em>

$\frac{9}{s^{2} (s+3} = \frac{-1}{s} + \frac{3}{s^{2} } + \frac{1}{s+3}$

<u><em>Step(iv):-</em></u>

$y^{-}(s) = \frac{9}{s^{2} (s+3}+\frac{7}{s+3}$

$y^{-}(s) =9( \frac{-1}{s} + \frac{3}{s^{2} } + \frac{1}{s+3}) + \frac{7}{s+3}$

Applying inverse Laplace transform on both sides

$L^{-1} (y^{-}(s) ) =L^{-1} (9( \frac{-1}{s}) + L^{-1} (\frac{3}{s^{2} }) + L^{-1} (\frac{1}{s+3}) )+ L^{-1} (\frac{7}{s+3})$

<em>By using inverse Laplace transform</em>

<em></em> $L^{-1} (\frac{1}{s} ) =1$ <em></em>

$L^{-1} (\frac{1}{s^{2} } ) = \frac{t}{1!}$

$L^{-1} (\frac{1}{s+a} ) =e^{-at}$

<u><em>Final answer</em></u>:-

<em>Now the solution , we get</em>

$Y (s) = 9( -1 +3 t + e^{-3 t} ) + 7 e ^{-3t}$

5 0

2 years ago

How do I graph in R for the following inequality?<br> -3 ≤ xV-6 > x

dedylja [7]

Answer:

I don't know if this will help you or not and I'm sorry if it doesn't.

Have a great day! :)

(The graph is what I got when I graphed the equation.)

4 0

2 years ago

Evaluate 5+{2-(3-4)+[4+(2-3)]}

lord [1]

Answer:

The result can be shown in multiple forms.

Exact Form:

32

3

Decimal Form:

10.

¯

6

Mixed Number Form:

10

2

3

Simplify the numerator.

−

2

4

−

2

−

4

−

1

Simplify the denominator.

−

2

−

3

16

Multiply the numerator by the reciprocal of the denominator.

−

2

(

−

16

3

)

Multiply

−

2

(

−

16

3

)

.

32

3

Step-by-step explanation: Simplify the numerator.

−

2

4

−

2

−

4

−

1

Simplify the denominator.

−

2

−

3

16

Multiply the numerator by the reciprocal of the denominator.

−

2

(

−

16

3

)

Multiply

−

2

(

−

16

3

)

.

Tap for more steps...

32

3

The result can be shown in multiple forms.

Exact Form:

32

3

Decimal Form:

10.

¯

6

Mixed Number Form:

10

2

3

8 0

3 years ago