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mario62 [17]
3 years ago
7

a cruise ship heads due west from a port 3 miles directly south of San Francisco. If the ship is travelling at a constant rate o

f 17 mph, how fast is the distance between the ship and san francisco changing 1 hour after leaving port
Mathematics
1 answer:
Anton [14]3 years ago
3 0

Answer:

16.7

Step-by-step explanation:

speed is constant at 17 mph

Distance covered after one hour = 17 miles

Distance between port and San Francisco = 3 miles

Speed at which distance changes 1 hour after leaving port :

r² = 17² - 3²

r² = 289 - 9

r = √280

r = 16.733

= 16.7 (nearest tenth )

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Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tac
Anestetic [448]

Answer:

Tacoma's population in 2014 will be 587,439 people

Step-by-step explanation:

we know that

The equation of a exponential growth function  is given by the formula

y=a(1+r)^x

where

y is Tacoma's population in thousand

x is the number of years since 2000

r is the rate of change

a is the initial value

we have

a=200\\r=8\%=8/100=0.08

substitute

y=200(1+0.08)^x

y=200(1.08)^x

what will Tacoma's population be in 2014?

Find the value of x

x=2014-2000=14\ years

substitute the value of x

y=200(1.08)^{14}=587.439\ thousand

therefore

Tacoma's population in 2014 will be 587,439 people

5 0
3 years ago
Write the equation from the graph in slope intercept form​
Oxana [17]

Answer:

y=2/3x−4

Step-by-step explanation:

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3 years ago
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A bag contains 18 blocks numbered from 1 to 18. Two blocks are selected from the bag at the same time. Let event E = the two num
inysia [295]
The correct answer is A 7
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3 years ago
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Andrei has a glass tank. First, he wants to put in some marbles, each of which has a volume of 0.04liters. Then, he wants to fil
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Thats 35 litters because  
0.04*50 is 2
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8 0
3 years ago
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What is the product of (2i) and (5+3i)?
Evgesh-ka [11]

The value of the product expression given as product of (2i) and (5+3i) is 10i -6

<h3>How to determine the product?</h3>

The product expression is given as:

product of (2i) and (5+3i)

Rewrite the expression as:

(2i) * (5+3i)

Open the brackets

(2i) * (5+3i) = 10i + 6i^2

Evaluate

(2i) * (5+3i) = 10i + 6(-1)

This gives

(2i) * (5+3i) = 10i -6

Hence, the value of the product expression given as product of (2i) and (5+3i) is 10i -6

Read more about complex numbers at:

brainly.com/question/10662770

#SPJ1

5 0
2 years ago
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