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dolphi86 [110]
3 years ago
6

The population of a certain city increased by 18,000 people.

Mathematics
1 answer:
MrRa [10]3 years ago
8 0

Answer:

+18000

Step-by-step explanation:

Given

Increment = 18000

Required

Represent as a signed number

If the initial population is x.

The new population (y) will be:

y = x + 18000

It is "+" because the population of the city increases.

Hence, the signed number is  +18000

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the city park department is planning to enclose a play aea. one side of the area will be against an existing building, so no fen
SVEN [57.7K]

Answer:

length = 200 m

width = 400 m

Step-by-step explanation:

Let the length of the plaing area is L and the width of the playing area is W.

Length of fencing around three sides = 2 L + W = 800

W = 800 - 2L ..... (1)

Let A is the area of playing area

A = L x W

A = L (800 - 2L)

A = 800 L - 2L²

Differentiate with respect to L.

dA/dL = 800 - 4 L

It is equal to zero for maxima and minima

800 - 4 L = 0

L = 200 m

W = 800 - 2 x 200 = 400 m

So, the area is maximum if the length is 200 m and the width is 400 m.

8 0
3 years ago
Read 2 more answers
Differentiate 6+4x - x^2
vfiekz [6]

Answer:

2x+4

Step-by-step explanation:

hope that helps

3 0
2 years ago
The sequence a1 = 6, an = 3an-1 can also be written as
wariber [46]
The question as presented is incomplete, here is the complete question with the multiple choice:

The sequence a1 = 6, an = 3an − 1 can also be written as:

1) an = 6 ⋅ 3^n
2) an = 6 ⋅ 3^(n + 1) 
3) an = 2 ⋅ 3^n
4) an = 2 ⋅ 3^(n + 1)

The correct choice is option 3) an = 2⋅3^n.

If we look at the initial sequence an = 3⋅an-1, and

a1 = 3⋅a0 = 6
a0 = 6/3
a0 = 2

We can now look at the sequence.

a0 = 2
a1 = 6
a2 = 18
a3 = 54
etc...

A common factor in each of those numbers is 2, so we can rewrite the sequence by factoring out 2.

a0 = 2⋅1
a1 = 2⋅3
a2 = 2⋅9
a3 = 2⋅27

The numbers being multiplied by 2 are all factors of 3. So we can rewrite the sequence again as:

a0 = 2⋅3^0
a1 = 2⋅3^1
a2 = 2⋅3^2
a3 = 2⋅3^3

This sequence can now be rewritten as an = 2⋅3^n.
7 0
3 years ago
**22 POINTS** Please solve this fraction as a difference
Ghella [55]

Answer:

\dfrac{x}{4}-\dfrac{7}{12}

Step-by-step explanation:

The fraction is the equivalent of ...

\dfrac{1}{12}{(3x-7)

and the distributive property applies.

=\dfrac{1}{12}(3x)-\dfrac{1}{12}(7)\\\\=\dfrac{3\cdot x}{3\cdot 4}-\dfrac{7}{12}\\\\=\dfrac{x}{4}-\dfrac{7}{12}

3 0
3 years ago
3.2g of sugar is needed to make 8 cakes. How much sugar is needed for 12 cakes?
4vir4ik [10]

3.2s:8c

4.8s:12c

Therefore, you would need 4.8g of sugar to make 12 cakes. This was solved by using ratios.

8 0
3 years ago
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