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3 years ago

A boat leaves the dock and travels 5 miles due south, then 12 miles due west.

Mathematics

1 answer:

e-lub [12.9K]3 years ago

3 0

Answer:

17 miles

Step-by-step explanation:

12 miles + 5 miles = 17 miles away from the dock

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Part A A high school athlete ran the 100 meter sprint in 13.245 seconds. Round the time to the nearest tenth.Part B Explain how

amid [387]

Answer:

t = 13.2 s

Step-by-step explanation:

Given that,

An athlete ran the 100 meter sprint in 13.245 seconds. We need to round off the time to the nearest tenth.

Here, t = 13.245 s

In order to round off to the nearest tenth, thousandths place and hundredth place gets eliminated.

So, t = 13.2 s

So, time is 13.2 seconds.

5 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

4 years ago

JESUS I DONT GET THIS SOMETIMES, PEOPLE BE LIKE "X=69420" WHEN THE PROBLEM IS IN GRAPH FORM IM SO CONFUSED LIKE IM SORRY THAT WE

puteri [66]

Answer:

Equation: y = -3x -2

Graph: Attached below ↓↓↓↓↓

Step-by-step explanation:

The equation is y = -3x + b

We need B at this point.

Since we have a point given to us,( -2, 4)we can input the x and y

Solve:

4 = -3(-2) + b

4 = 6 + b

b = -2

So the equation we have is y = -3x -2

Let's graph the line.

We go 2 units below the x-axis, because the y-intercept is -2, and the slope is -3, so we go down 3 units, and to the right 1.

Picture attached:

-Chetan K

4 0

3 years ago

SAT scores probability 1

fredd [130]

Answer:

a. 81.5%

Step-by-step explanation:

The z-score for 400 is ...

Z = (X -μ)/σ = (400 -500)/100 = -1

The z-score for 700 is ...

Z = (700 -500)/100 = 2

The empirical rule tells you that 68% of the distribution is within ±1σ of the mean, and 95% is within ±2σ of the mean. Half of that first number is in the range Z = -1 to 0, and half that second number is in the range Z = 0 to +2. So, the probability you want is ...

(1/2)(68%) + (1/2)(95%) = 81.5% . . . . matches choice A

6 0

3 years ago

Malika earn $40.25 for three and a half hours of overtime work on Saturday determine Malika's overtime pay rate

Roman55 [17]

Just divide 40.25 by 3.5. You get 11.5. So his pay rate is 11.5 every hour.

I hope this helps :)

8 0

3 years ago