All categories

2 years ago

Find the answer to this question.

Mathematics

1 answer:

Novay_Z [31]2 years ago

3 0

Answer:

the difference between the given matrices is option 2nd

You might be interested in

Consider the function V=g(x), where g(x) =x(6-2x)(8-2x), with x being the length of a cutout in cm and V being the volume of an

Andrej [43]

Answer:

The maximum volume of the open box is 24.26 cm³

Step-by-step explanation:

The volume of the box is given as $V=g(x)$ , where $g(x)=x(6-2x)(8-2x)$ and $0\le x\le3$ .

Expand the function to obtain:

$g(x)=4x^3-28x^2+48x$

Differentiate wrt x to obtain:

$g'(x)=12x^2-56x+48$

To find the point where the maximum value occurs, we solve

$g'(x)=0$

$\implies 12x^2-56x+48=0$

$\implies x=1.13,x=3.54$

Discard x=3.54 because it is not within the given domain.

Apply the second derivative test to confirm the maximum critical point.

$g''(x)=24x-56$ , $g''(1.13)=24(1.13)-56=-28.88\:$

This means the maximum volume occurs at $x=1.13$ .

Substitute $x=1.13$ into $g(x)=x(6-2x)(8-2x)$ to get the maximum volume.

$g(1.13)=1.13(6-2\times1.13)(8-2\times1.13)=24.26$

The maximum volume of the open box is 24.26 cm³

See attachment for graph.

6 0

3 years ago

X-3y=1<br> -x+6y=-7<br><br> Solve the system using elimination <br> Type ordered pair

Vedmedyk [2.9K]

Answer:

x=-5, y=-2. (-5, -2).

Step-by-step explanation:

x-3y=1

-x+6y=-7

----------------

3y=-6

y=-6/3

y=-2

x-3(-2)=1

x+6=1

x=1-6

x=-5

3 0

3 years ago

The following are the number of sales which a sample of 9 car salespeople of an insurance company in Florida and a sample of 8 s

Montano1993 [528]

Answer:

There is no difference in the number of sales between The Florida salespeople and Washington salespeople

Sp^2 = 39

Step-by-step explanation:

Given data :

Florida: 39, 44, 42, 50, 55, 48, 51, 38, 54

Washington: 42, 43, 56, 50, 49, 52, 53, 56

number of sales persons in Florida = 9

number of sales persons in Washington = 8

variance = constant

a)Determine if there is difference between the Florida salespeople and Washington salespeople

we will carry out a two tailed test based on the given data

H0 : u1 = u2

H1 : u1 ≠ u2

x ( mean ) = 46.77, y ( mean ) = 50.13 ,

s1^2 = 39.69, s2^2 = 28.41, n1 = 9 , n2 = 8

therefore :

Sp^2 = $\frac{n1s1^2 + n2s2^2}{n1 + n2-2}$ = 38.96 ≈ 39

performing test statistic

t = $\frac{x- y }{sp\sqrt{\frac{1}{n1} +\frac{1}{n2} } }$ = $\frac{-3.36}{3.0330}$ = -1.1078

critical value is at t = 0.05 and for a two tailed test it is at 2.13 therefore e accept H0 at 5% . This shows that there is no difference in sales

5 0

3 years ago

5. In which quadrant does the terminal side of al 18° angle lie?

Softa [21]

Answer:

c. first quadrant

Step-by-step explanation:

First Quadrant : 0° to 90°

Second Quadrant : 90° to 180°

Third Quadrant : 180° to 270°

Fourth Quadrant : 270° to 360° (or 0°)

3 0

3 years ago

Read 2 more answers

A plumber is fitting A water pipe that is 3/4 foot long on to a water pipe that is 2/12 foot long.How long will the finish pipe

viktelen [127]

Add 3/4 foot to 2/12 foot. The LCD here is 12.

Thus, add 9/12 foot to 2/12 foot. Answer: 11/12 foot.

Are you sure you copied down that "2/12" correctly? Note that 2/12 = 1/6

3 0

3 years ago

Read 2 more answers