Ask question

Ask question

All categories

3 years ago

6

There are 361 seventh-grade students going on a field trip. If each bus holds 40 people and there are 20 chaperones going, how m

any buses are needed?

2 answers:

RUDIKE [14]3 years ago

6 0

Think it’s 9. Hope I could help.

oee [108]3 years ago

3 0

Answer:

9

Step-by-step explanation:

You might be interested in

Which is equivalent to 1.04?

Elodia [21]

Answer:

104/100 is equivalent to 1.04

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Find the differential coefficient of <br><img src="https://tex.z-dn.net/?f=e%5E%7B2x%7D%281%2BLnx%29" id="TexFormula1" title="e^

Gemiola [76]

Answer:

$\rm \displaystyle y' = 2 {e}^{2x} + \frac{1}{x} {e}^{2x} + 2 \ln(x) {e}^{2x}$

Step-by-step explanation:

we would like to figure out the differential coefficient of $e^{2x}(1+\ln(x))$

remember that,

the differential coefficient of a function y is what is now called its derivative y', therefore let,

$\displaystyle y = {e}^{2x} \cdot (1 + \ln(x) )$

to do so distribute:

$\displaystyle y = {e}^{2x} + \ln(x) \cdot {e}^{2x}$

take derivative in both sides which yields:

$\displaystyle y' = \frac{d}{dx} ( {e}^{2x} + \ln(x) \cdot {e}^{2x} )$

by sum derivation rule we acquire:

$\rm \displaystyle y' = \frac{d}{dx} {e}^{2x} + \frac{d}{dx} \ln(x) \cdot {e}^{2x}$

Part-A: differentiating $e^{2x}$

$\displaystyle \frac{d}{dx} {e}^{2x}$

the rule of composite function derivation is given by:

$\rm\displaystyle \frac{d}{dx} f(g(x)) = \frac{d}{dg} f(g(x)) \times \frac{d}{dx} g(x)$

so let g(x) [2x] be u and transform it:

$\displaystyle \frac{d}{du} {e}^{u} \cdot \frac{d}{dx} 2x$

differentiate:

$\displaystyle {e}^{u} \cdot 2$

substitute back:

$\displaystyle \boxed{2{e}^{2x} }$

Part-B: differentiating ln(x)•e^2x

Product rule of differentiating is given by:

$\displaystyle \frac{d}{dx} f(x) \cdot g(x) = f'(x)g(x) + f(x)g'(x)$

let

$f(x) \implies \ln(x)$
$g(x) \implies {e}^{2x}$

substitute

$\rm\displaystyle \frac{d}{dx} \ln(x) \cdot {e}^{2x} = \frac{d}{dx}( \ln(x) ) {e}^{2x} + \ln(x) \frac{d}{dx} {e}^{2x}$

differentiate:

$\rm\displaystyle \frac{d}{dx} \ln(x) \cdot {e}^{2x} = \boxed{\frac{1}{x} {e}^{2x} + 2\ln(x) {e}^{2x} }$

Final part:

substitute what we got:

$\rm \displaystyle y' = \boxed{2 {e}^{2x} + \frac{1}{x} {e}^{2x} + 2 \ln(x) {e}^{2x} }$

and we're done!

6 0

3 years ago

A System of linear equations has one or more _________ functions graphed in the same plane.There can be _______solution, no solu

Liula [17]

First Blank : Linear
Second Blank: One solution
Third Blank: Infinite solutions
Fourth Blank: (i don't know) but i am thinking that it is a single point which marks the intersection of the two (or more) graphed lines. its like the point of intersection

3 0

3 years ago

Find s8 for the following geometric sequence: 3, –6, 12, –24.

Lisa [10]

Find s8 for the following geometric sequence: 3, –6, 12, –24. = –255

4 0

3 years ago

Read 2 more answers

18 divided by (1+5)(4-2)

crimeas [40]

Answer:

= 3/2

$= \frac{18}{(1 + 5)(4 - 2)}$

$= \frac{18}{(6)(2)}$

$= \frac{18}{12}$

Simplify the fraction.

$= \frac{3}{2}$

7 0

3 years ago

Read 2 more answers