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3 years ago

Determine whether each statement about the design from the rug is true.

Mathematics

1 answer:

Paraphin [41]3 years ago

8 0

I am really not sure

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Expand the expression -7(k - 3)

Illusion [34]

How can I help you?
−
7

(
k
−
3
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-
7

(
k
-
3
)
Solve

4 0

3 years ago

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

3 years ago

What is the value of y? 54" A. 126° B. 730 C. 63° D. 540

Studentka2010 [4]

Answer: 63 degrees.

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

Therefore: 54 + y + y = 180

So 54 + 2y = 180

So 2y = 126

Therefore y = 63 degrees.

3 0

3 years ago

Read 2 more answers

Your factory produces lemon-scented widgets. You know that each unit is cheaper, the more you produce. But you also know that co

Sindrei [870]

try using m athway . c o m for math help

8 0

3 years ago

Find the distance between the points (11, 4) and (10, 5).

alexdok [17]

Answer:

square root of 2 or if needed simplified, 1.414213 to the nearest millionth.

Step-by-step explanation:

Start with the equation d= square root of (11-10)^2+(4-5)^2 where that is simplified to square root of (1)^2+(-1)^2 to square root of 1+1 to your final answer, square root of 2. Also simplified to 1.414213.

6 0

3 years ago