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3 years ago

PLEASE HELP!!!!!!!!

Mathematics

2 answers:

vfiekz [6]3 years ago

8 0

Answer:

about 78 years

Step-by-step explanation:

Population

y =ab^t where a is the initial population and b is 1+the percent of increase

t is in years

y = 2000000(1+.04)^t

y = 2000000(1.04)^t

Food

y = a+bt where a is the initial population and b is constant increase

t is in years

b = .5 million = 500000

y = 4000000 +500000t

We need to set these equal and solve for t to determine when food shortage will occur

2000000(1.04)^t= 4000000 +500000t

Using graphing technology, (see attached graph The y axis is in millions of years), where these two lines intersect is the year where food shortages start.

t≈78 years

nirvana33 [79]3 years ago

3 0

Answer:

78 years.

Step-by-step explanation:

We can solve this problem by quickly creating an equation like this:

2000000(1.04)^t= 4000000 +500000t

And when you solve it you will get approximately 78 years.

Thank you!

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Find the side of a square, whose area is equal to the area of a rectangle with sides 6.4m and 2.5m. Also find the perimeter of t

san4es73 [151]

Answer:

side: 4 metres

perimeter: 16 metres

Step-by-step explanation:

Let's first find the area of this rectangle.

The area of a rectangle is denoted by A = lw, where l is the length and w is the width. Here, the length is l = 6.4 and the width is w = 2.5. Plug these in:

A = lw

A = 6.4 * 2.5 = 16 metres squared

We want to find the side of a square with area 16. Suppose the side length is x. The area of a square is denoted by A = x * x = x², so set this equal to 16:

x² = 16

x = √16 = 4

Thus, the side length is 4 metres.

The perimeter of a square is denoted by P = 4s, where s is the side length.

Here the side length is 4 metres, as we found, so:

P = 4s = 4 * 4 = 16

Hence the perimeter is 16 metres.

5 0

3 years ago

How do I solve this problem?

Leokris [45]

Answer:

21, 18, 15

Step-by-step explanation:

First term = a1

Second term = a2

Third term = a3

a1 = 21

= a + d

= 21 - 3

= 18

= a + 2d

= 21 + 2 ( - 3 )

= 21 - 6

= 15

The first 3 terms are 21, 18, 15.

8 0

3 years ago

A 0.311 kg tennis racket moving 30.3 m/s east makes an elastic collision with a 0.0570 kg ball moving 19.2 m/s west. Find the ve

max2010maxim [7]

<u>Answer</u>:

The velocity of the tennis racket after the collision 14.966 m/s.

<u>Step-by-step explanation:</u>

An elastic collision is an encounter between two bodies in which the total kinetic energy of the two bodies remains the same.

So, the total kinetic energy before collision = the total kinetic energy after collision.

For the given problem let the following:

m₁ = mass of tennis racket = 0.311 kg

m₂ = mass of the ball = 0.057 kg

u₁ = velocity of tennis racket before collision = 30.3 m/s

u₂ = velocity of the ball before collision = -19.2 m/s

v₁ = velocity of tennis racket after collision

v₂ = velocity of the ball after collision

Right ⇒east (+) , Left⇒ west (-)

v₁ = [ u₁ * (m₁ - m₂) + u₂ * 2m₂ ]/ (m₁ + m₂)

= ( 30.3 * (0.311 - 0.057) - 19.2 * 2 * 0.057 ) / ( 0.311 + 0.057)

= 14.966 m/s.

So, the velocity of the tennis racket after the collision 14.966 m/s.

5 0

3 years ago

You and a friend go to the store and purchase 3 candy bars that cost $0.85 each and 2

kondor19780726 [428]

3 times 0.85 + 2 times 1.89 equals 6.33
Divide 6.33 by 2 equals $3.165
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Which $1.835 is your change you receive

3 0

3 years ago

Help me pleaseeeeeeeeeeeeeeeee

zalisa [80]

Step-by-step explanation:

j=25+5

j=30

final answer is 30

3 0

3 years ago

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