Noodles are packaged in boxes that measure 18 cm by
20 cm by 5 cm. A larger box is being designed by
increasing the length, width, and height of the smaller
box by the same amount.
What is the minimum amount that can be added to the
dimensions of the box so that the new box has a
volume of at least 5,280 cubic centimeters? Round to
the nearest hundredth.
cm

Answer:

Step-by-step explanation:

For us to be able to determine the polynomials that are divisible by (x-1), this means that x-1 must be a factor for the functon to be able to divide any of the polynimial.

Since x-1 is a factor, we can get the value of x

x-1 = 0

x =0+1

x = 1

Next is for to substitute x - 1 into the polynomial and see the ones that will give us zero

For A(x)=3x^3+2x^2-x

A(1) = 3(1)^3+2(1)^2-(1)

A(1) = 3+2-(1)

A(1) = 5-1

A(1) = 4

Since A(1) ≠ 0, then x-1 is not divisible by the polynomial function.

For B(x)=5x^3-4x^2-x

B(1)=5(1)^3-4(1)^2-1

B(1)=5-4-1

B(1)=1-1 = 0

Since B(1) = 0, hence x-1 is divisible by 5x^3-4x^2-x

For the polynomial  C(x)= 2x^3-3x^2+2x-1

C(1)=2(1)^3-3(1)^2+2(1)-1

C(1)=2-3+2-1

C(1)= -1+1

C(1)= 0

Since C(1) = 0, hence x-1 is divisible by the

For the polynomial D(x)=x^3+2x^2+3x+2

D(1)=1^3+2(1)^2+3(1)+2

D(1)=1+2+3+2

D(x) = 8

Hence the polynomial D(x) is not divisible by x-1

Hence the correct options are B(x)=5x^3-4x^2-x and 2x^3-3x^2+2x-1

Answer:

B(x) and C(x)

Step-by-step explanation:

9514 1404 393

Answer:

  C)  √3

Step-by-step explanation:

Treating this as a geometry problem, not a fluid dynamics problem, we assume the area of the smaller vessels must total that of the larger one. Then the ratio of areas of the smaller vessels to the larger one is 1/3. The ratio of radii is the square root of that: 1/√3.

Then the radius of the smaller arteries must be ...

  (3 mm)(1/√3) = √3 mm

Answer:

basically u do the formulas and plug them in.

Step-by-step explanation:

Answer:

5.5

Step-by-step explanation:

-2x + 5 = -6

subtract -5 from -6 then divide by -2

i hope i explained it well.

Answer: 5.5 is your answer.

Step-by-step explanation:

1) -2x + 5 -5 = -6 -5 <------Subtract 5 from 5 and 5 from -6.

2) -2/-2 x = -11/-2 <---------------Now divide -2 by -2 and divide -2 by -11.

3) x = 5.5 <-------------And this is your answer.

Hope this helped! Have a great day! :).

Answer:

16

Step-by-step explanation:

Answer:

The answer is 0.

Explanation:

2/3 x 0 = 0

0 x -3 = 0

I hope it helps you...

Answer:

Step-by-step explanation:

[(3/2)⁰]⁻³

apply the exponent rule: (aᵇ)ˣ = aᵇˣ, a≥0

= (3/2)⁰ ⁽⁻³⁾

note that 0 * (-3) = 0 so,

=(3/2)⁰

apply exponent rule: a⁰ = 1, a≠0

= 1

Answer:

The second smoothie recipe has more strawberries compared to other ingredients

Step-by-step explanation:

Recipe 1:

2 cups of strawberries : 7 cups of other ingredients

= 2/7

= 0.29

Recipe 2:

3 cups of strawberries : 9 cups of other ingredients.

= 3/9

= 1/3

= 0.33

The second smoothie recipe has more strawberries compared to other ingredients

Answer:

Length = 4 times width

Area = length * width

=(4w)w

=4w²

So 4w²=1024 cm² (given)

w²=1024/4=256

w=√(256 cm²)

=16 cm (reject negative value of square-root)

Step-by-step explanation:

Hope this helps you

Crown me as brainliest:)

Answer:

x=55

Step-by-step explanation:

(2x+6)+(x+9)=3x+15

3x+15=180

3x=165

x=55

Answer:

Step-by-step explanation:

a. If you want a return of 17 percent, how much will you pay for the stock?

The price of the stock can be calculated as:

= dividend next year/(required return - growth rate)

= 4.4/(17% - 5%)

= 4.4/12%

= 4.4/0.12

= 36.67

b. If you want a return of 10 percent, how much will you pay for the stock?

At 10%

= 4.4/(10% - 5%)

= 4.4/5%

= 4.4/0.05

= 88

Answer:

Q1) D

Q2) A

Q3) A

Q4) I'm sorry I can't figure this one out

Q5)2.7

Step-by-step explanation:

Answer:

21 yard line

Step-by-step explanation:

Ok we start out on the 20 yard line, we need to add the yards together.

We add the 6 to the 20:

20+6=26

Then we subtract the 8 yards from our new 26:

26-8=18

Then we add the 18 by 3:

18+3=21

Therefore,

The Answer is 21 Yard Line.

Hope I could help, If you need some more assistance ask me!

Answer:

2 yard

Step-by-step explanation:

hola soy dora

If x/ -8 = -3,

Just multiply by -8 on both sides.

x = 24

Hope this helps!

If x/ -8 = -3,

Just multiply by -8 on both sides.

x = 24

Hope this helps!

Choice D. Because in an arithmetic sequence, you add some value that we call common difference to the preceding term in order to get the proceeding term. Choice D looks like it because it starts at 5 and we add 6 to it it'll be 11 and another 6 it'll be 17 and so on.

Answer:

B

Step-by-step explanation: the common difference is 2.7

Answer:

38... 19 doubled thats it

Answer:

38

Step-by-step explanation:

Rounded to the nearest tenth is 40

Step-by-step explanation:

Given the expression that modeled the relationship between these quantities (calories from grams of carbohydrate and the rest of the ingredients) as

4c+5 = 27

From the equation, the constant value of 5 represents the calories in grams of  the rest of the ingredients present in the bite.

Let us calculate the value of c from the equation

4c+5 = 27

4c + 5- 5 = 27-5

4c = 22

c = 22/4

c = 5.5

This means that the total calories of carbohydrate the granola bite contains is 4(5.5) i.e 21 calories of carbohydrate

Note that 8 cannot be the solution to the equation because for us to eliminate 5 from both sides of the equation, we need to subtract it from both sides not add. If 5 was added to both sides, the value of c would have been (32/4 i.e 8) which would have been wrong.

Answer:

Tc=3x+(x-7)

Step-by-step explanation: So, the Tc stands for total cost. The x stands for the variable for the hardback books and the x-7 is the price of the paperback book. You could introduce another variable, but that might be more confusing

The answer is D, [tex]\sqrt2[/tex]

If you found this answer helpful, I strongly recommend marking me as Brainliest!

Answer:

a. 70,000

b. 24,000,000

c. 3,600,000

Step-by-step explanation:

You round all the numbers and multiply the rounded numbers.

So...

a. 656 = 700

106 = 100

7000*100= 70,000

b. 3108 = 3000

7942 = 8000

3000*8000= 24,000,000

c. 425 = 400

9311 = 9000

400*9000= 3,600,000

Answer:

The correct answer will be "1197.93".

Step-by-step explanation:

According to the question:

Semi annual coupon:

= [tex]10 \ percent\times \frac{1000}{2}[/tex]

= [tex]50[/tex]

Number of periods:

= [tex]20\times 2[/tex]

= [tex]40[/tex]

Semi annual YTM:

= [tex]\frac{8}{2} \ percent[/tex]

= [tex]4 \ percent[/tex]

Now,

The market value of bond will be:

= PV of Coupons + PV of Par Value

On putting the values, we get

= [tex]50\times (\frac{(1-(1+4 \ percent)^{-40})}{4 \ percent} )+\frac{1000}{(1+4 \ percent)^{40}}[/tex]

= [tex]1197.93[/tex]

Note: percent = %

8/15 = x/6

Using cross multiplication let us find the value of x .

= 15 × x = 6 × 8

= x = 48 ÷ 15 ( transposing ×15 from LHS to RHS changes ×15 to ÷+5 )

= x = 3.2

Therefore , the equation that can be used to solve the proportion :-

Answer:

its B

Step-by-step explanation:

Answer:

12.8$

Step-by-step explanation:

20% is equal to 0.2. You multiply 64 by 0.2. I hope this helps.

Answer:

10k

Step-by-step explanation:

Answer:

10k

Step-by-step explanation:

distribute the 5 to the 2 and leave the k

Answer: 840 feet squared

Step-by-step explanation:  24ft * 35ft = 840

Answer:

13x + 5= -12

hope this helps :)

Answer:

Its already simplified but if you mean a mixed number then its 27/16

Step-by-step explanation:

Answer:

22.50

Step-by-step explanation:

Answer:

to be honest.....I HAVE NO FRINKIN CLUE, i just answered to say that you have a cute name if thats your real name

Step-by-step explanation:

Congrats, you have reach the worlds biggest idiot

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