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3 years ago

Jack Drove 40 1/2 miles. He used 1 1/2 gallons of gasoline. What is the unit rate for miles per gallon

Mathematics

2 answers:

Maurinko [17]3 years ago

8 0

Answer: dang I learned this and forgot

Step-by-step explanation:

boyakko [2]3 years ago

8 0

Answer:

27 miles per gallon

Step-by-step explanation:

40 1/2 divided by 1 1/2

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In Exercise, find the derivative of the function. y = 3ex - xex

nevsk [136]

Answer:

the question is incomplete, the complete question is "find the derivative of the function $y=3e^{x}-xe^{x}$ "

answer: $\frac{dy}{dx}=(2-x)e^{x}$ .

Step-by-step explanation:

From the equation, $y=3e^{x}-xe^{x}$ , we approach the question using the differentiation of a product and differentiation of a sum simultaneously,

the differentiation of a sum is express as

f(x)=u(x)+v(x)+.....w(x) then

$\frac{df(x)}{dx}=\frac{du(x)}{dx}+\frac{dv(x)}{dx}+...\frac{dw(x)}{dx}.\\$

For the differentiation of a product we have

f(x)=u(x)v(x), then

$\frac{df(x)}{dx}=\frac{dv(x)}{dx}u(x)+\frac{du(x)}{dx}v(x)$

hence if we go by the formula we arrive at

for $y=3e^{x}$

let u(x)=3 hence du/dx=0 and

$v(x)=e^{x}$ and $\frac{dv(x)}{dx}=e^{x}$

hence $\frac{dy}{dx}=3e^{x}+0e^{x}\\\frac{dy}{dx}=3e^{x}---equation 1\\$

Also for $y=-xe^{x}\\\frac{dy}{dx}=-e^{x}-xe^{x}---equation 2$ .

if we add equation 1 and equation 2 we arrive at

$\frac{dy}{dx}=3e^{x}-e^{x}-xe^{x}\\\frac{dy}{dx}=(3-1-x)e^{x}\\\frac{dy}{dx}=(2-x)e^{x}$ .

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3 years ago

Marking brainliest (easy) Is it foolish to fear? Don’t use outside sources !!

svlad2 [7]

Step-by-step explanation:

Yes.. because we should not fear of anything because if we fill something unsuitable or suspecious or something else then that feeling is said to be fear for me....

But for me what a person can do who has fear??

To prevent fear...

Make your heart fool that nothing is there..All is going well..

4 0

3 years ago

Read 2 more answers

How many positive integers less than 20 are multiples of 3 but not 2?

Ray Of Light [21]

So all the multiples of 3 are...
3, 6, 9, 12, 15, 18
and of those, the ones not divisible by 2 are...
3, 9, 15

4 0

3 years ago

Without looking, Luke picks necklace beads from a bag of 52 beads. Half the beads are rough. The other half are smooth. There ar

hichkok12 [17]

Answer:
1/2

Explanation

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3 years ago

Read 2 more answers

What is the difference between arcsin and sin^-1 ?

Len [333]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2094473

_______________

Both refer to the inverse sine function.

The inverse sine (or arcsine) of x:

$\mathsf{f(x)=arcsin(x)=sin^{-1}(x)}$

where x is a real number in the domain of the function:

$\mathsf{-1\le x\le 1}$

and the arcsine function returns an angle in the interval $\mathsf{\left[-\,\frac{\pi}{2},\,\frac{\pi}{2}\right]:}$

$\mathsf{-\,\dfrac{\pi}{2}\le arcsin(x)\le \dfrac{\pi}{2}}\quad\longleftarrow\quad\textsf{range of the inverse sine function.}$

So if you see anywhere one of these expressions below

$\mathsf{\theta=arcsin(x)~~or~~\theta=sin^{-1}(x)}$

then you should look for an angle $\theta$ that satisfies the following conditions:

$\footnotesize\begin{array}{l}\bullet\end{array}\normalsize\begin{array}{l}\mathsf{sin\,\theta=x;} \end{array}\\\\\\
\footnotesize\begin{array}{l}\bullet\end{array}\normalsize\begin{array}{l}\mathsf{\dfrac{\pi}{2} \le \theta\le\dfrac{\pi}{2}.} \end{array}$

This angle $\theta$ is called the inverse sine of the real number x.

______

Pay attention and do not mistake the arcsine function for the reciprocal of sine (which is cosecant); especially if you prefer or see that notation with an superscript -1. This one can be easily mistaken for an exponent:

$\mathsf{sin^{-1}(x)=arcsin(x)\qquad\quad\checkmark}$

but the reciprocal is something like

$\mathsf{\big[sin(x)\big]^{-1}=\dfrac{1}{sin\,(x)}=csc(x)\qquad\quad(!!)}$

and this last one has a total different meaning.

I hope this helps. =)

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4 years ago