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shusha [124]
3 years ago
5

Round 19.543 to the nearest hundredth

Mathematics
1 answer:
lara31 [8.8K]3 years ago
7 0

Answer:

19.54

Step-by-step explanation:

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Solve the following inequality 3y + 5 < 10
Alina [70]

Step-by-step explanation:

3y+5<10

3y<10-5

3y<5

y<⅗

8 0
3 years ago
How do you substitute 4(x) into the inequality 1/2x+5y-10&lt;0 to find the possible value of y?
Veseljchak [2.6K]
You put 4 in the X
1/2(4)+5y-10<0
2+5y-10<0
-8+5y<0
5Y<8
Y<8/5
3 0
3 years ago
In 2000, the population of Massachusetts
Zepler [3.9K]

Answer:

The population reaches 7 million people in the year 2032.

Step-by-step explanation:

We have that

f(x) = 6.3*(1.0032)^{x}

Using this model, find the year when the population reaches 7 million people.

This is x years after 2000, in which x is found when f(x) = 7. So

f(x) = 6.3*(1.0032)^{x}

7 = 6.3*(1.0032)^{x}

(1.0032)^{x} = \frac{7}{6.3}

(1.0032)^{x} = 1.11

We have to following logarithm rule

\log{a^{x}} = x\log{a}

So we apply log to both sides of the equality

\log{(1.0032)^{x}} = \log{1.11}

x\log{1.0032} = \log{1.11}

x = \frac{\log{1.11}}{\log{1.0032}}

x = 32.66

2000 + 32.66 = 2032

The population reaches 7 million people in the year 2032.

3 0
3 years ago
Exponents solve this for 50 points and brainlist
Zepler [3.9K]

Answer:

<u></u>\frac{10m^{10}n^{6}p^{9}}{y}

Step-by-step explanation:

Simplifying the numerator :

⇒ (-5m⁷n⁰p⁵)(2m⁴n³p²)³

⇒ (-5m⁷p⁵)(8m¹²n⁹p⁶)

⇒ (-5)(8)(m)⁷⁺¹²n⁹(p)⁵⁺⁶

⇒ <u>-40m¹⁹n⁹p¹¹</u>

<u />

Dividing by the denominator :

⇒ \frac{-40m^{19}n^{9} p^{11}  }{-4m^{9}n^{3}p^{2}y} }

⇒ \frac{10m^{10}n^{6}p^{9}}{y}

7 0
2 years ago
Kurt has a collection of 155 United States and Canadian stamps. He has 1.5 times as many United States stamps as Canadian stamps
stealth61 [152]

Kurt has 93 United States stamps in his collection

Step-by-step explanation:

The given is:

  • Kurt has a collection of 155 United States and Canadian stamps
  • He has 1.5 times as many United States stamps as Canadian stamps

We need to find how many United  States stamps Kurt has in his collection

Assume that kart has x Canadian stamps

∵ kart has x Canadian stamps

∵ He has 1.5 times as many United States stamps as Canadian stamps

- That means the number of United States stamps is 1.5 times

   the number of the Canadian stamps

∴ The number of the United States stamps = 1.5 x

∵ Kurt has a collection of 155 United States and Canadian stamps

- Add the two numbers of stamps and equate the answer by 155

∴ x + 1.5 x = 155

- Add like terms

∴ 2.5 x = 155

- Divide both sides by 2.5

∴ x = 62

∵ The number of United States stamps = 1.5 x

∴ The number of United States stamps = 1.5(62)

∴ The number of United States stamps = 93 stamps

Kurt has 93 United States stamps in his collection

Learn more:

You can earn more about the simple equation in brainly.com/question/11306893

#LearnwithBrainly

5 0
3 years ago
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