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Oksana_A
2 months ago
14

(1 point) Rework problem 15 in section 2 of Chapter 5 of your textbook about the growing suburb and the declining city using the

following data: Assume that the suburb has a population of 320000 and is growing at a rate of 5000 per year. Assume that the city has a population of 624000 and is declining at a rate of 14000 per year. In how many years will the populations of the suburb and the city be equal
Mathematics
1 answer:
Leona [12.6K]2 months ago
6 0

Answer:

16 years

Step-by-step explanation:

Let x represent the count of years. The suburb population increases at a rate of 5000 annually, which can be formulated as:

320000 + 5000x

The city population decreases at a rate of 14000 per year, represented as:

624000 - 14000x

The point in time when both the suburb and city populations will match can be derived from:

320000 + 5000x = 624000 - 14000x

14000x + 5000x = 624000 - 320000

19000x = 304000

x = 304000 / 19000

x = 16

In 16 years, the populations of both the suburb and the city will be equivalent

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Yoku is putting on sunscreen. He uses 2\text{ ml}2 ml2, start text, space, m, l, end text to cover 50\text{ cm}^250 cm 2 50, sta
AnnZ [12381]

Answer:

13 Millilitres.

Step-by-step explanation:

Yoku applies 2ml to cover 50cm^2 of his skin.

He seeks to find out how many millilitres he needs to cover 325cm^2 of his body.

With 2ml, Yoku covers 50cm^2 of his skin

He will use \frac{2}{50}ml of sunscreen for covering 1cm^2 of his skin.

Thus:

For covering 325cm^2 of his body, he will require:

\frac{2}{50} X 325 ml\\=13ml

he would need 13 Millilitres.

7 0
2 months ago
Read 2 more answers
Which of the following is an even function g(x) = (x – 1)2 + 1g(x) = 2x2 + 1g(x) = 4x + 2g(x) = 2x
babunello [11817]
An even function can be reflected over the y-axis and still remain unchanged.
Example: y=x^2
On the other hand, an odd function can be reflected around the origin and also remains unchanged.
Example: y=x^3


A straightforward method to determine this is:

if f(x) is even, then f(-x)=f(x)
if f(x) is odd, then f(-x)=-f(x)


Hence, for an even function
substitute -x in for each and check for equivalence
make sure to fully expand the expressions
g(x)=(x-1)^2+1=x^2-2x+1+1=x^2-2x+2 is the original expression
g(x)=(x-1)^2+1
g(-x)=(-x-1)^2+1
g(-x)=(1)(x+1)^2+1
g(-x)=x^2+2x+1+1
g(-x)=x^2+2x+2
Not the same, as the original contains -2x
Therefore, it is not even
g(x)=2x^2+1
g(-x)=2(-x)^2+1
g(-x)=2x^2+1
It matches, hence it is even
g(x)=4x+2
g(-x)=4(-x)+2
g(-x)=-4x+2
Not equivalent, thus not even
g(x)=2x
g(-x)=2(-x)
g(-x)=-2x
Not equal, therefore not even



g(x)=2x²+1 is the confirmed even function.
8 0
2 months ago
Read 2 more answers
sari has 3 times as many pencil erasers Sam. Together, they have 28 erasers.  How many erasers does Sari have
PIT_PIT [12445]
Start by letting x represent the number of Sam's pencils. Then Sari has 3x (since she has three times as many)

Together they total 28 pencils:
x + 3x = 28
4x = 28  /:4 (divide both sides by 4)
x = 7
So Sam has 7 pencils.
Sari, having three times as many, has 7 * 3 = 21.[[TAG_8]]
4 0
2 months ago
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While on vacation in Canada, you notice that temperatures are reported in degrees Celsius. You know there is a linear
zzz [12365]

Given that the relationship is linear.

The equation can be expressed as y = mx + c.

Substituting, when x = 0, we have y = 32.

Thus, 32 = c.......( 1 )

Then, when x = 100, y results in 212.

Which gives us:

212 = 100m + c.......( 2 )

By equating equations 1 and 2, we obtain:

100m = 212 - 32

Solving for x yields 1.8.

The final equation is therefore y = 1.8x + 32.

Hence, this represents the required solution.

7 0
2 months ago
Solve the following addition and subtraction problems. a. 3 km 9 hm 9 dam 19 m + 7 km 7 dam b. 5 sq.km 95 ha 8,994 sq.m + 11 sq.
Svet_ta [12734]
To tackle the problem, the general approach is to convert all measurements into the smallest unit possible.
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3,000 m 900 m 90 m 19 m + 7,000 m 70 m = 4,009 + 7,070 = 11,079 m
b. 5 sq.km 95 ha 8,994 sq.m + 11 sq. km. 11 ha 9,010 sq. m.
5,000,000 sq m 95,0000 sq m 8,994 sq m + 11,000,000 sq m 110,000 sq
9,010 sq m
5,103,994 sq m + 11,119,010 sq m = 16,223,004 sq m
c. 44 m - 5 dm
44 m - 0.5 m = 43.5 m
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5 0
1 month ago
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