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3 years ago

10

In how many ways can 13 students be seated in a row of 13 chairs if David, insists on sitting in the first chair?

1 answer:

Delvig [45]3 years ago

8 0

They can only sit one way because they are still in a row
Or did you mean like how many different ways can they sit?

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For the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled b

dmitriy555 [2]

Answer:

2019.

Step-by-step explanation:

We have been given that for the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled by $H = 1,500e^{0.053t}$ where t is the number of years past 2000.

To find the year in which national health care expenditures expected to reach $4.0 trillion (that is, $4,000 billion), we will substitute $H=4,000$ in our given formula and solve for t as:

$4,000= 1,500e^{0.053t}$

$\frac{4,000}{1,500}=\frac{ 1,500e^{0.053t}}{1,500}$

$\frac{8}{3}=e^{0.053t}$

$e^{0.053t}=\frac{8}{3}$

Take natural log of both sides:

$\text{ln}(e^{0.053t})=\text{ln}(\frac{8}{3})$

$0.053t\cdot \text{ln}(e)=\text{ln}(\frac{8}{3})$

$0.053t\cdot (1)=0.9808292530117262$

$\frac{0.053t}{0.053}=\frac{0.9808292530117262}{0.053}$

$t=18.506212320$

So in the 18.5 years after 2000 the expenditure will reach 4 trillion.

$2000+18.5=2018.5$

Therefore, in year 2019 national health care expenditures are expected to reach $4.0 trillion.

7 0

4 years ago

Please answer and explain

sashaice [31]

8=2*2*2=2^3
32=2*2*2*2*2=2^5
<span>[8^(2/3)] / [32^(2/5)] = [</span>(2^3)^(2/3)] / [(2^5)^(2/5)] =
= [2^(3*2/3)] / [2^(5*2/5)]= [2^2] / [2^2] = 4/4 = 1
Answer: 1

4 0

3 years ago

Use the substitute method to solve the system of equation.choose the correct ordered pair. X+y=3 or y=8

Otrada [13]

Answer:

answer: 4 or 9

Step-by-step explanation:

5 0

3 years ago

a local sports team sells 6 tickets for $3,8 tickets for $4,and 10 tickets for $5.write a rule and equation to find out the cost

m_a_m_a [10]

Shsus sksugd fjdud 8272 hydksb shshs. Isnjsjdb

5 0

3 years ago

A constant function is a linear function.<br> True<br> False

Ksju [112]

<span>Correct answer is A.

Anything with a constant gradient is a linear function.

y = c
y = 0×x + c
k = 0 - constant gradient</span>

8 0

3 years ago