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Nikitich [7]
4 years ago
11

The annual number of cases can be modeled using a quadratic equation y = 14x2 – 9x + 1. the variable x represents the number of

years after 2008. the variable y represents the number of pertussis cases in year x. according to the equation, in what year can the county be expected to have 2,619 cases of pertussis?

Mathematics
1 answer:
Delicious77 [7]4 years ago
7 0
The annual number of cases can be modeled using a quadratic equation y = 14x2 – 9x + 1. the variable x represents the number of years after 2008. the variable y represents the number of pertussis cases in year x. according to the equation, in what year can the county be expected to have 2,619 cases of pertussis?

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The value of y varies inversely as the cube of x and y=1 when x=6. Find the value of y when x =2.
ch4aika [34]

Answer:

y=27 when x=2

Step-by-step explanation:

y varies inversely as the cube of x

y=k(1/X^3)

y=1 when x=6

y=k(1/X^3)

1=k(1/6^3)

1=k(1/216)

k=1÷1/216

K=1×216/1

k=216

find y when x=2

y=k(1/X^3)

y=216(1/2^3)

y=216(1/8)

y=216/8

y=27

3 0
3 years ago
John bikes at a speed of 10 miles per hour. His friend Brian is slower, his biking speed is only 8 miles per hour. d Tomorrow bo
skad [1K]

Answer:

  • 6 miles

Step-by-step explanation:

Given

  • John's speed = 10 mph
  • Brian's speed = 8 mph
  • Time 3 hours

Solution

<u>The difference in distance covered:</u>

  • 3*(10 - 8) = 6 miles
3 0
3 years ago
1. A right circular cylinder has a height of 5 in. and a base area of 20 in2. What is the volume of the cylinder? Use π = 3.14.
Kruka [31]

Answer:

<h2>1. V = 100 in³</h2><h2>2. h = 10 in</h2>

Step-by-step explanation:

The formula of a volume of a cylinder:

V=Bh

<em>B</em><em> - base area</em>

<em>h</em><em> - height</em>

<em />

1. We have

<em>h = 5in, B = 20 in²</em>.

Substitute:

V=(5)(20)=100\ in^3

2. We have

<em>B = 20.7 in², V = 207 in³</em>.

Substitute:

207=20.7h            <em>divide both sides by 20.7</em>

\dfrac{207}{20.7}=\dfrac{20.7h}{20.7}\\\\10=h\to h=10\ in

4 0
3 years ago
Read 2 more answers
Can someone please give me a detailed answer please.
lubasha [3.4K]
The area of a triangle ( one of the sides) is 1/2 x base x height
base = 16, height = 19

Area = 1/2 x 16 x 19 = 152 square units.

There are 4 sides: 152 * 4 = 608 square units
 The area of the bottom square is 16 x 16 = 256 square units.

Total area = 608 + 256 = 864 square units.

 The answer is D.


5 0
3 years ago
Suppose that 14 inches of wire costs 70 cents. At the same rate, how many inches of wire can be bought for 35 cents?​
const2013 [10]

Answer:

7

Step-by-step explanation:

35x2=70 14/2=7

8 0
3 years ago
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