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2 years ago

Simplify ,without using a calculator(2 1/2)2 + (0.5)2

Mathematics

2 answers:

Sindrei [870]2 years ago

6 0

Step-by-step explanation:

2 1/2 × 2

=5/2 × 2

(0.5)2

=0.5×2

5+1

vazorg [7]2 years ago

3 0

Answer:

Step-by-step explanation:

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Can you answer the question in the picture below?

uysha [10]

Step-by-step explanation:

Area of parking lot

$= length \: of \: base \: \times height \\ = 200 \times 120 \\ = 24000 \: {ft}^{2}$

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2 years ago

What percent of $20,574.50 equals $1,180.47

igor_vitrenko [27]

5.737539186% rounded to the nearest tenth its 5.7%

7 0

2 years ago

(−4x^4 +6x^2 +3) − (5x^2 - 3)

Alborosie

Answer:

$-4x^{4} + x^{2} + 6$

Step-by-step explanation:

$(-4x^{4} + 6x^{2} + 3) - (5x^{2} - 3) = -4x^{4} + 6x^{2} + 3 - 5x^{2} + 3 = -4x^{4} + 6x^{2} - 5x^{2} + 3 + 3 = -4x^{4} + x^{2} + 6$

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3 years ago

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

2 years ago

Which compound inequality could this graph be the solution of?

vodomira [7]

-4 ≤ x ≤ 6

x ≥ -4

3x ≥ -12

3x + 12 ≥ 0

3x + 14 ≥ 2

6 ≥ x

6 - x ≥ 0

1 - x ≥ -5

A. 3x + 14 ≥ 2 and 1 - x ≥ -5

4 0

2 years ago

Simplify ,without using a calculator(2 1/2)2 + (0.5)2 ​

Simplify ,without using a calculator(2 1/2)2 + (0.5)2