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3 years ago

Please explain how to do this

Mathematics

1 answer:

Helen [10]3 years ago

8 0

9514 1404 393

Answer:

1/2

Step-by-step explanation:

The rules of exponents are helpful.

(a^b)^c = a^(bc)

a^-b = 1/a^b

$25^{\frac{1}{2}}\times10^{-1}=\dfrac{(5^2)^{\frac{1}{2}}}{10^1}=\dfrac{5^{2\cdot\frac{1}{2}}}{10}\\\\=\dfrac{5^1}{10}=\dfrac{5}{10}=\boxed{\dfrac{1}{2}}$

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Kia rides her bicycle at 20 miles per hour. Which equation represents the situation?

sergejj [24]

Answer:

(A)d=20h

Step-by-step explanation:

If Kia rides her bike at 20 miles per hour.

20 miles per hour is referred to as the Kia's Speed.

Now we know that:

$$Speed=\frac{Distance \:Travelled}{Time \:taken}$

Given:

Number of hours traveled=h
Distance traveled=d
Speed = 20 mph

Substituting these three into the formula above, we have:

$20=\dfrac{d}{h}\\$

Cross multiply

d=20h

The correct option is A.

7 0

3 years ago

An NFL team kicker misses 2 out of every 11 field goals. If he missed 8 field goals throughout the season, how many did he attem

nataly862011 [7]

Answer:

Step-by-step explanation:

8/2=4

4x11=44

He attempted 44 field goals throughout the season. :)

Hope this helps and I'd appreciate a brainliest.

6 0

3 years ago

Read 2 more answers

Please help Which expression is equal to...?

Margarita [4]

Answer:

the last one $-\sqrt{5}$

Step-by-step explanation:

3 0

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

3 years ago

Ishaan is 333 times as old as christopher and is also 141414 years older than christopher.

GalinKa [24]

Ishaan is 21, Christopher is 7 No actual question given, but I will assume that the question is "How old are they?". If that's the case, we can create two equations. I'll use I for Ishaan's age and C for Christopher's. I will also assume that there's been some formatting issues here and for some reason, numbers are repeated 3 times without any spaces. So "Ishaan is 3 times as old as Christopher" I = 3C "is also 14 years older than Christopher I = C + 14 Since both equations are equal to each other, let's set them equal. So 3C = C + 14 2C = 14 C = 7 So Christopher is 7. And we can use the equation I = C + 14 to get Ishaan's age. So I = C + 14 I = 7 + 14 I = 21

3 0

3 years ago