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Lyrx [107]
3 years ago
14

I. Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x2 + 1. Compute the following: 2. f o h(3)

Mathematics
1 answer:
satela [25.4K]3 years ago
4 0
F(h(3))
h(3) = 3^2 + 1 = 9 + 1 = 10
F(10) = 2(10) -1 = 20 - 1 = 19
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The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain after 2000 years?
Assoli18 [71]

Answer:

167.27 mg.

Step-by-step explanation:

We have been given that the half-life of Radium-226 is 1590 years and a sample contains 400 mg.

We will use half life formula to solve our given problem.

N(t)=N_0*(\frac{1}{2})^{\frac{t}{t/2}, where N(t)= Final amount after t years, N_0= Original amount, t/2= half life in years.

Now let us substitute our given values in half-life formula.

N(2000)=400*(\frac{1}{2})^{\frac{2000}{1590}

N(2000)=400*(0.5)^{1.2578616352201258}    

N(2000)=400*0.4181633028874878239

N(2000)=167.26532115499512956\approx 167.27

Therefore, the remaining amount of Radium-226 after 2000 years will be 167.27 mg.

3 0
3 years ago
You bought a pumpkin pie for Friendsgiving. At the end of the part 6/8 of the pumpkin pie was left. The host decided to share ou
ExtremeBDS [4]
The correct answer is D
6/8 divided by 4 is 3/16
6 0
3 years ago
Read 2 more answers
At one farmers market, bananas cost $0.80 per pound. At another’s farmers market, bananas are sold in 5-pound bags for $4.50 per
Dmitry_Shevchenko [17]

Answer:

$0.80 per pound is the better buy

Step-by-step explanation:

\frac{4.5}{5} = 0.9

$0.90 per pound for the $4.50/5 pounds of bananas

7 0
4 years ago
Forty students are In Science club. Of those 45% are girls. This percent increase 56% after new girls join the club. How many ne
stepan [7]
45% of 40 is 0.45×40=18 girls
if x girls join then 56% of 40+x is 0.56(40+x)=18+x
22.4+0.56x=18+x
put together like terms
4.4=0.44x
<span>x=10 girls joined</span>
8 0
4 years ago
Use the Distributive Property to solve the equation.<br> 3(x-6)+6=5x-4<br><br> what is x?
Alborosie

Answer:

x = -4

Step-by-step explanation:

1) Distribute

3(x - 6) + 6 = 5x - 4

3x - 18 + 6 = 5x - 4

2) Add the numbers

3x - 18 + 6 = 5x - 4

3x - 12 = 5x - 4

3) Add 12 to both sides

3x - 12 = 5x - 4

3x - 12 + 12 = 5x - 4 + 12

4) Simplify

Add The Numbers:

3x - 12 + 12 = 5x - 4 + 12

3x = 5x - 4 + 12

Add the numbers:

3x = 5x - 4 + 12

3x = 5x + 8

5) Subtract 5x from both sides

3x = 5x + 8

3x - 5x = 5x + 8 - 5x

6) Simplify

Combine like terms:

3x - 5x = 5x + 8 - 5x

-2x = 5x + 8 - 5x

Combine like terms:

-2x = 5x + 8 - 8

-2x = 8

7) Divide both sides by each factor

-2x = 8

-2x/-2 = 8/-2

8) Simplify

Cancel terms that are in both the numerator and denominator:

-2x/2 = 8/-2

Divide the numbers:
x = 8/-2

x = -4

Solution:

x = -4

6 0
3 years ago
Read 2 more answers
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