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goldfiish [28.3K]
2 years ago
9

Can someone please help!

Mathematics
1 answer:
Fudgin [204]2 years ago
3 0

Answer:

min f(x) = 3.95  (for x= 2.5)

Step-by-step explanation:

vertex (x) = 1/0,4 = 2,5

vertex (y) = 0.2(2.5)^2-2.5+5.2 = 3.95

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In 2018, the population will grow over 700,000.The population of a city in 2010 was 450,000 and was growing at a rate of 5% per
Firlakuza [10]

Answer:

The year is 2020.

Step-by-step explanation:

Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.

Given:

Initial population is, P_0=450,000

Growth rate is, r=5\%=0.05

Final population is, P=700,000

A population growth is an exponential growth and is modeled by the following function:

P=P_0(1+r)^x

Taking log on both sides, we get:

\log(P)=\log(P_0(1+r)^x)\\\log P=\log P_0+x\log (1+r)\\x\log (1+r)=\log P-\log P_0\\x\log(1+r)=\log(\frac{P}{P_0})\\x=\frac{\log(\frac{P}{P_0})}{\log(1+r)}

Plug in all the given values and solve for 'x'.

x=\frac{\log(\frac{700,000}{450,000})}{\log(1+0.05)}\\x=\frac{0.192}{0.021}=9.13\approx 10

So, for x > 9.13, the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.

Therefore, the tenth year after 2010 is 2020.

8 0
3 years ago
Sarah works at a zoo.
ipn [44]

Answer:

An elephant pregnancy lasts around 22 months, meaning that new born baby elephants are not small! A baby elephant is called a calf and can weigh between 200 and 300 lbs and stand about 3 feet (1 m) tall.

7 0
3 years ago
Read 2 more answers
Plz help I will mark you brainlist plz help ​
lakkis [162]

<u><em>Answer</em></u>

<em>1.) 50 mistakes per test</em>

<em>2.) 8 girls per group</em>

<em>3.) 27 pages per hour</em>

<em>4.) $1.30 per banana</em>

<em>5.) $0.50 per pencils</em>

<em>6.) 13 points per game</em>

<em>7.) $1.25 per cup of tea</em>

<em>8.) 65 liters per hour</em>

<em>9.) 25 calls per hour</em>

<em>10.) 35 words per minute</em>

<em>11.) 8 miles per liter of gas</em>

<em>12.) 0.4 eggs per day</em>

<em>13.) $28 per hour</em>

<em>14.) 3.5 miles per hour</em>

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

<em>*Hope this helped*</em>

<em />

8 0
3 years ago
Read 2 more answers
Pwease help i will give you brain thing if its correct ♡
Oliga [24]

Answer:

1. A, B, C, E

2.Im not sure I think A

hope this helps

have a good day :)

Step-by-step explanation:

6 0
2 years ago
A right triangle has an area of 2k^2-k-15 One of the legs has a length of k^2-9 What is the ratio of the area of a triangle to t
Darya [45]
<h3>Given</h3>

A = 2k² -k -15

L = k² -9

<h3>Find</h3>

A/L

<h3>Solution</h3>

\displaystyle\frac{A}{L}=\frac{2k^2-k-15}{k^2-9}=\frac{(k-3)(2k+5)}{(k-3)(k+3)}\\\\=\frac{2k+5}{k+3}

4 0
3 years ago
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