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navik [9.2K]
3 years ago
10

Maths question I'm struggling with.

Mathematics
1 answer:
Alex17521 [72]3 years ago
6 0

Answer:

A = 2.63

B = 2

Step-by-step explanation:

To find the population density, what we need to do simply is divide the population by the area of the UK

mathematically, that would be;

(6.41 * 10^7)/243,610 = 263.125

To the nearest whole person= 263 people/ square meter

So now we want to write 263 in standard form = 2.63 * 10^2

So this means A = 2.63 and B = 2

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The tree is 45ft tall
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3 years ago
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Please Help ASAP! Will name Brainliest! Question: Minimize the objective function P = 5x + 8y for the given constraints. x ≥ 0 y
maksim [4K]

Answer:

Option D.

Step-by-step explanation:

Minimize the objective function P = 5x + 8y for the given constraints.

x\geq 0,y\geq 0

2x+3y\geq 15

3x+2y\geq 15

The related equations of above inequalities are

2x+3y=15

3x+2y=15

For 2x+3y=15,

x     y

0     5

7.5   0  

Plot (0,5) and (7.5,0) and join them by straight line.

For 3x+2y=15,

x     y

0     7.5

5      0  

Plot (0,7.5) and (5,0) and join them by straight line.

Check the inequalities for (0,0).

2(0)+3(0)\geq 15\Rightarrow 0\geq 15 False

3(0)+2(0)\geq 15\Rightarrow 0\geq 15 False

It means both lines are solid lines and shaded region for each lies opposite side of (0,0).

From the below graph it is clear that the vertices of feasible region are (0,7.5), (3,3), (7.5,0).

Point       P = 5x + 8y

(0,7.5)     P=5(0)+8(7.5)=60

(3,3)     P=5(3)+8(3)=15+24=39

(7.5,0)     P=5(7.5)+8(0)=37.5 (Minimum)

So, minimum value is 37.5.

Therefore, the correct option is D.

3 0
3 years ago
2 of the people on a train have
Keith_Richards [23]

Answer:

10

Step-by-step explanation:

5 0
2 years ago
The value of a new car in 2015 was 40,000 dollar. It depreciates each year by 7%. How much will the car be worth in 2026?
tiny-mole [99]

Answer:

9200 dollars

Step-by-step explanation:

just minus it 77%

4 0
2 years ago
Use properties to find sum or product of 4 + (6+21)
Maurinko [17]
You need to use  pemdas so first you do inside the parenthesis 6+21=27 then you add 4 27+4=31 that is your answer



4 0
3 years ago
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