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3 years ago

11

On a recent 160 mile road trip. Clara's car used 71/4 gallons of gas. How many gallons should she expect to use on a 250 mile ro

ad trip

1 answer:

faltersainse [42]3 years ago

6 0

She should expect to use roughly 11.9 gallons.

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Write a general formula to describe the variation: M varies jointly with the cube root of the difference B and b.

MAXImum [283]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\stackrel{\textit{M varies jointly with the cube root of the difference B and b}}{M=k\sqrt[3]{B-b}}$

8 0

3 years ago

30% of the people at a concert are female. 1295 of the people at the concert are male. Work out the number of people at the conc

liubo4ka [24]

Total number of people = n
Number of female = 30/100 n
Number of male = 1295

Number of females = 579 total female

6 0

3 years ago

What is 2^0 evaluated?

emmainna [20.7K]

2^0 is 1. The reason for this because zero is indeterminate (like how 0 * 0 is). In fact, any number to the power of 0 is 1 because of this.

Hope this helps!

8 0

3 years ago

Read 2 more answers

a clock tower is 26 feet tall and a shadow 24 feet long while a large truck next to the tower cast a shadow 12 feet long how tal

mixas84 [53]

The truck in this example is 14 feet tall if it's shadow is 12 feet long.

5 0

3 years ago

This is solving differential equations by sepeartion of variables

Brums [2.3K]

$\mathrm dy+k(y-70)\,\mathrm dx=0$

Separating variables gives

$\dfrac{\mathrm dy}{y-70}=-k\,\mathrm dx$

Integrating both sides gives

$\displaystyle\int\frac{\mathrm dy}{y-70}=-k\int\mathrm dx$
$\ln|y-70|+C_1=-kx+C_2$
$\ln|y-70|=-kx+C$

Solving for $y$ gives

$e^{\ln|y-70|}=e^{-kx+C}$
$y-70=e^{-kx}e^C$
$y=Ce^{-kx}+70$

As $y(1)=140$ , you get

$140=Ce^{-k}+70$
$70=Ce^{-k}$
$C=70e^k$

so the particular solution to this ODE is

$y=70e^ke^{-kx}+70$
$y=70e^{k(1-x)}+70$

Unless you have any more information, you're done.

5 0

3 years ago