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3 years ago

how many 16 oz bottles would be needed to hold the same total amount of water as 56 bottles that each holds 20 oz?

2 answers:

7 0

So first find how many total oz there are in 56 bottles full of 20 oz by multiplying 56 and 20 together giving you 1120 oz. Now divide that by 16 to get your answer, 70 bottles.

AfilCa [17]3 years ago

7 0

To do this, you would find out how many oz 56 20 oz bottles holds. That's 1120. Then divide that by 16 to get 70.

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Find the inverse Laplace transform f(t) of the function F(s). Write uc for the Heaviside function that turns on at c, not uc(t).

zzz [600]

Answer:

F(t) $=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}$

Step-by-step explanation:

We have given $F(S)=\frac{7e^{-7s}}{s^2-49}$

Now $F(S)=e^{-7s}G(s)$

Here $G(S)=\frac{7}{S^2-49}$

Now first find the Laplace inverse of G(S)

Using partial fraction

$\frac{7}{(s+7)(s-7)}=\frac{A}{(S+7)}+\frac{B}{S-7}$

$7=A(S-7)+B(S+7)$

On comparing the coefficient

$A=\frac{1}{2}$ and $B=\frac{-1}{2}$

On putting the value of A and B

$G(S)=\frac{-1}{2(S+7)}+\frac{1}{2(S+7)}$

Taking inverse Laplace

$G(t)=\frac{-1}{2}e^{7t}+\frac{1}{2}e^{-7t}$

Now in G(s) there is onether term $e^{-7s}$

So F(t) $=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}$

6 0

2 years ago

Combine like terms 6x^2+4(x^2-1)

ki77a [65]

6x^2 + 4(x^2 - 1) =
6x^2 + 4x^2 - 4 =
10x^2 - 4 <===

4 0

3 years ago

Read 2 more answers

A land developer is splitting up 1.19 hectares of land to form 9 identical properties. To the nearest tenth of a hectare, what s

OlgaM077 [116]

In this question , it is given that the land is 1.19 hectares. And the land developer splitting it into 9 identical properties . So to find the size of each property, we need to divide 1.19 by 9 and on doing that, we will get 0.13 hectares .

So the size of each property is 0.13 hectares .

4 0

3 years ago

Write a rational function with no vertical asymptotes and no holes. Please explain.

Ksju [112]

ANSWER

$f(x) = \frac{ {x}^{2} }{ {x}^{2} + 1 }$

EXPLANATION

We write the function such that both the numerator and the denominator are prime.

An example of a rational function with no vertical asymptotes and no holes is

$f(x) = \frac{ {x}^{2} }{ {x}^{2} + 1 }$

For the above rational function, the denominator is never zero, so there are no vertical asymptotes.

Also the highest common factor for the numerator and the denominator is 1 so there are no holes.

4 0

3 years ago

One maid can clean the house four times faster than another. Working together they can clean the entire house in 4 hours. How lo

stich3 [128]

5 hours long would it take the faster maid cleaning alone.

What is a linear equation in math?

A linear equation only has one or two variables.
No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction.
When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.

Suppose, time taken by faster maid be x , hours.

So, time taken by slower maid ,

$x_{2} = 4x_{1}$ ( 4 time faster maid )