Factor the expression step by step

Answer:

i. The company should use the cylindrical tubes.

ii. This is because the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²

Step-by-step explanation:

i, Which packaging should the company choose?

The packaging that uses less material is the one with the least surface area. So, we find the surface area of each material.

For the rectangular box, the surface area, A = 2(lb + lh + bh) where l = length, b = breadth and h = height. Since each box  is 8 cm by 3 cm by 7 cm,l = 8 cm, b = 3cm and h = 7cm.

So, ,A = 2(lb + lh + bh)

,A = 2( 8 cm × 3 cm + 8 cm × 7 cm + 3 cm × 7cm)

A = 2(24cm + 56 cm + 21cm)

A = 2(101 cm²)

A = 202 cm²

For the cylindrical tube, the surface area, A' = 2πr(r + h) where r = radius of cylinder and h = height of cylinder.

Since each cylinder has radius 3 cm and height 6 cm, r = 3cm and h = 6 cm.

So, A' = 2πr(r + h)

A' = 2π(3 cm)(3 cm + 6cm)

A' = (6π cm)(9 cm)

A' = 54π cm²

A' = 169.65 cm²

Since the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²

The company should use the cylindrical tubes.

ii. Justify your choice.

This is because the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²

Answer:

c

Step-by-step explanation:

interest = loan x interest x time

1200 x 0.09 x 5 = $540

Answer:

option 1) tan (46) = 17/x

Step-by-step explanation:

Answer:

2/6 or 1/3 (simplified)

Step-by-step explanation:

each dice has 6 sides and there is one 3 on each die, so you would add 1/6 + 1/6 to get 2/6 which simplifies to 1/3

Answer:

2/12 or 1/6

Step-by-step explanation:

Answer:

It is correct

Answer:

True

Step-by-step explanation:

√784/√4 = 28/2 = 14

Answer:

the answer is true

Step-by-step explanation:

because all are equal 14

Given:

[tex]7-2y>3y+13[/tex]

To find:

The whether the value [tex]y=-1[/tex] is a solution of the given inequality or not.

Solution:

We have,

[tex]7-2y>3y+13[/tex]

It can be rewritten as

[tex]-2y-3y>13-7[/tex]

[tex]-5y>6[/tex]

Divide both sides by -5 and change the inequality sign.

[tex]y<\dfrac{6}{-5}[/tex]

[tex]y<-1.2[/tex]

All the value of y less -1.2 are the solutions of the given inequality but -1 is greater than -1.2.

[tex]-1>-1.2[/tex]

Therefore, [tex]y=-1[/tex] is not a solution of the given inequality.

Answer:

-2-24i

Step-by-step explanation:

vector addition

let x be the value without the vector I

x+7+5=10

x=10-12

x=-2

let y be the value with the vector I

y-3+9+13= -5

y +19= -5

y= -24

Answer:

D

Step-by-step explanation:

i think because the range is 2 because it went up to plots and the domain stay in a flat line

Answer:

volume = 3x6x2 = 36 cubic inches

Step-by-step explanation:

Answer:

That's easy, just take base times width times Hight. or in this case 6x2x3=

do this on a calculator. :)

Step-by-step explanation:

And anytime you are doing volume, it will always be cubed.

Answer:

C

Step-by-step explanation:

The parabola is symmetrical at x = -1.

If you were to fold it over itself, it would match up if you folded at x = -1

Answer:

They made 2 smores. 1/4(8) = 2

Answer:

2535 cm²

Step-by-step explanation:

Part 1

Cube root the ratio to find the length factor as volume factor = length factor³

∛512 : ∛2197 = 8 : 13

Part 2

Square the ration as area factor = length factor²

8² : 13² = 64 : 169

Part 3

Apply the ratio

64 : 169

960 / 64 = 15

15 x 169 = 2535

Answer:

top left

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello : here is an solution

Answer:

2.9 km

Step-by-step explanation:

Just add up the two distances:  2.3 km + 600 m = 2.3 km + 0.6 km = 2.9 km total

Answer:

x= 15 and the equation is 3x+5x+4x=180

Answer:

y > 4x + 2

Step-by-step explanation:

Y is above the line so the value has to be greater than the line (or equal to, possibly). So it represents > or ≥

A dotted/dashed line is non-inclusive, so it represents < or >.

Since it is both above the line AND non-inclusive, we would use this sign:

>

and this equation :)

y > 4x + 2

Have a nice day. Feel Free to ask questions. Spread the Love.

Answer: y > 4x + 2

Step-by-step explanation:

Answer:

14.25ft

171 in

Step-by-step explanation:

Answer:

k = 4, y = 4x

Step-by-step explanation:

From the question, we get the ratio of :

x : y = 1 : 4

Two variables are proportional to each other if their ration is constant. The constant value is denoted by 'k' and is called as constant of proportionality.

In the question, the two variables are :

x = glasses of lemonade

y = lemons used

From the question, the ratio of y is to x is given by :

y : x is   24 : 6 = 4 : 1     or   24/6 = 4

            32 : 8 = 4 : 1     or   32/8 = 4

            28 : 7 = 4 : 1     or   28/7 = 4

             8 : 2 = 4 : 1      or   8/2 = 4

            16 : 4 = 4 : 1     or   16/4 = 4

So here the constant is 4 . Therefore, the constant of proportionality, k is 4.

So we can write the equation as :

y = kx

or y = 4x

Answer:

dont know what to do

Step-by-step explanation:

Answer: 9:30 am

Step-by-step explanation:

To solve this question, add up the time that Will spent walking from his home to the mall and then the length of time he spent in the mall and then the amount of time it took him to walk from the mall to the office:

= 30 + 45 + 15

= 1 hr 30 mins

Then deduct this number from 11:00 am to find out when he left home:

= 11 am - 1 hr 30 mins

= 9:30 am

Answer:

90% Confidence Interval for difference in Proportion = (-0.106, -0.034)

Step-by-step explanation:

The formula for difference in proportions is given as:

p1 - p2 ± z × √p1(1 - p1)/n1 + p2(1 - p2)/n2

p = x/n

In a 2017 pre-Hurricane Irma

survey, 486 out of 1,080 adults answered in the affirmative.

x1 = 486

n1 = 1080

p1 = 486/1080 = 0.45

In a 2017 post- Hurricane Irma survey, 546 out of 1,050 answered affirmatively.

x2 = 546

n2 = 1050

p2 = 546/1050 = 0.52

Z score for 90% confidence interval = 1.645

Confidence Interval

=0.45 - 0.52 ± 1.645 × √0.45 (1 - 0.45)/1080 + 0.52(1 - 0.52)/1050

= -0.07 ± 1.645 × √0.0002291667 + 0.0002377143

=-0.07 ± 1.645 × √(0.000466881)

= -0.07 ± 1.645 × 0.0216074293

= -0.07 ± 0.0355442212

Confidence Interval

-0.07 - 0.0355442212

= 0.1055442212

Approximately = -0.106

-0.07 + 0.0355442212

= -0.0344557788

Approximately = -0.034

Therefore, 90% Confidence Interval for difference in Proportion = (-0.106, -0.034)

Answer:

210

Step-by-step explanation:

Answer:

217

Step-by-step explanation:

5³ − (64/8) + 10²=125-8+100=217

Answer:

A burrito costs 2.8 dollars.

Step-by-step explanation:

3b + 2t = 11

1b + 4t = 8

b = 14/5, t = 13/10

14/5 as a mixed number is 2 4/5

4/5 of a dollar is 80 cents.

So b = 2.8

A burrito costs 2.8 dollars.