Ask question

Ask question

All categories

elena-14-01-66 [18.8K]

3 years ago

9

Emily is going to the beach for spring break PLEASE HELP IM BEGGING YOU SMART PEOPLE.

1 answer:

Sonja [21]3 years ago

6 0

There are 8 different bathing suits,

5 pairs of shorts,

3 cover-ups,

and 2 different flip flops.

So the number of options Emily can pick is 8 * 5 * 3 * 2 = 240.

You might be interested in

In which quadrant does the point (6,5) lie

il63 [147K]

Answer:

quadrant 1

Step-by-step explanation:

6 0

2 years ago

Using the data set provided below, order the values from greatest to least.

lianna [129]

The answer will be E

6 0

3 years ago

A manufacturer wants to make open tin boxes from pieces of tin with dimensions 8 in. by 15 in. by cutting equal squares from the

Stells [14]

Answer:

$\frac{5}{3}$ in

Step-by-step explanation:

Let x be the side of square.

Length of box=8-2x

Width of box=15-2x

Height of box=x

Volume of box= $L\times B\times H$

Substitute the values then we get

Volume of box=V(x)= $(8-2x)(15-2x)x=(15x-2x^2)(8-2x)$

$V(x)=120x-30x^2-16x^2+4x^3$

$V(x)=4x^3-46x^2+120x$

Differentiate w.r.t x

$V'(x)=12x^2-92x+120$

$V'(x)=0$

$12x^2-92x+120=0$

$3x^2-23x+30=0$

$3x^2-18x-5x+30=0$

$3x(x-6)-5(x-6)=0$

$(x-6)(3x-5)=0$

$x-6=0\implies x=6$

$3x-5=0\implies x=\frac{5}{3}$

Again differentiate w.r.t x

$V''(x)=24x-92$

Substitute x=6

$V''(6)=24(6)-92=52>0$

Substitute x=5/3

$V''(5/3)=24(5/3)-92=-52$

Hence, the volume is maximum at x= $\frac{5}{3}$

Therefore, the side of the square , $x=\frac{5}{3}$ in cutout that gives the box the largest possible volume.

5 0

3 years ago

Convert into slope intercept form, show all work<br> 6x+8y= -32

leonid [27]

6x+8y=-32
8y=-32-6x
8y/8 -6x/8
y=-3/4x-4

5 0

2 years ago

Write the expression in complete factored form 5q^2(a+9)-8(a+9)

trasher [3.6K]

Hopefully this helps you

8 0

3 years ago

Read 2 more answers