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anastassius [24]
3 years ago
7

What is the approximate difference in the growth rate of the two populations? The approximate difference in the growth rate is 1

0 percent. The approximate difference in the growth rate is 40 percent.
Mathematics
2 answers:
stiv31 [10]3 years ago
6 0

Answer:

B

Step-by-step explanation:

The approximate difference in the growth rate is 40 percent.

motikmotik3 years ago
5 0
B IS THE ANSWER HOPE THIS HELPS
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A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 4x. The container must contain 12ft^3
zheka24 [161]

The height of the container should be equal to 2.57 cm, so as to minimize cost.

<h3>How to calculate the height?</h3>

First of all, we would determine the volume of the rectangular container by using this formula:

Volume = l × w × h

Where:

  • l represents the length.
  • w represents the width.
  • h represents the height.

Substituting the given parameters into the formula, we have;

Volume = x × 4x × h

Volume = 4x²h

At a volume of 12 ft³, we have:

12 = 4x²h

h = 12/4x²

h = 3/x²

For the total area of top and bottom, we have:

Area = (x × 4x) + (x × 4x)

Area = 4x² + 4x²

Area = 8x² sq. units.

Thus, the cost of top and bottom is given by:

Cost = 8x² × 1.50

Cost = $12x²

For the total area of all four sides, we have:

Area = (x × h) + (x × h) + (4x × h) + (4x × h)

Area = xh + xh + 4xh + 4xh

Area = 10xh sq. units.

Thus, the cost of all four sides is given by:

Cost = 10xh × 4.50

Cost = $45xh.

Also, the cost function would be given by:

C(x) = 12x² + 10xh

C(x) = 12x² + 10x(3/x²)

C(x) = 12x² + 30/x

Taking the first derivative, we have:

dC/dx = 24x - 30/x²

24x = 30/x²

24x³ = 30

x³ = 30/24

x = 1.08

Therefore, the height will be:

h = 3/x²

h = 3/1.08²

h = 3/1.1664

Height, h = 2.57 cm.

Read more on minimum height here: brainly.com/question/27308167

#SPJ1

5 0
2 years ago
What is the volume of the cone? Use 3.14 for π. Round your answer to the nearest hundredth.
Tasya [4]

Answer:178.71696m^3

Step-by-step explanation:

To find the volume of cone=1/3πr2h

To find the height using pythagoras theorem and the theorem state that the square on the hypotenuse of a right-angled triangle is the same or equal in area to the sum of the squares on the other two sides.

7^2=h^2+3^2

h^2=49-9

h=√40

h=6.32m

V=1/3×3.142×3m×3m×6.32m

Therefore our answer is;

V=178.71696m^3

7 0
3 years ago
In a department store a desk costs £120. In a sale the price in reduced by 10%. How much is the desk reduced by
goldfiish [28.3K]

Answer:

£12

Step-by-step explanation:

£120 ×10/100

= £12.

That is the answer. Good luck

5 0
3 years ago
2 to the trird power plus 3 to third power - 3x4 - 5 to the seacond power divid by 5 plus (7x4)
zhenek [66]
I hope this helps ( there is no negatives )

5 0
3 years ago
What is the slope of the line y = -5x +1 ?
laila [671]

Answer:

-5

Step-by-step explanation:

Remember the slope intercept form:

y = mx + b

m = Slope value

b = y-intercept

So in this case,

y = (-5)x + b

m = -5

b = 1

Thus the answer is -5

3 0
3 years ago
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