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Step2247 [10]
2 years ago
13

The number of cases of a new disease can be modeled by the quadratic regression equation y = -2x^2 + 40x + 8. What is the best p

rediction for the number of cases in year 15
Mathematics
1 answer:
Stels [109]2 years ago
5 0

Answer:

158 cases

Step-by-step explanation:

Given tbe quadratic regression model :

y = -2x^2 + 40x + 8

y = number of cases of a new disease

x = number of years

The predicted number of cases of a new disease in 15 years can be calculated thus ;

Put x = 15 in the equation ;

y = -2(15)^2 + 40(15) + 8

y = - 2 * 225 + 600 + 8

y = - 450 + 600 + 8

y = 158

158 cases

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A gallon of gasoline cost 2.96. Your car has a 25 gallon gas tank and can travel 28.8 miles on each gallon of gasoline. How much
geniusboy [140]
<h2>Greetings!</h2>

Answer:

It would cost 47.36

Step-by-step explanation:

First, you need to find out how many gallons are needed to fill the tank. To do this, simply multiply 25 by the fraction that is how much is already in there:

25 x \frac{3}{8} = 9.375

So that means that there is 9.375 gallons already in the tank. To find the amount needed to fill the tank:

25 - 9.375 = 15.625

So 15.625 gallons are needed, rounded up to 16 gallons because you cannot get a decimal value of gallons.

That means that 16 x the price = the amount to fill the tank:

16 x 2.96 = 47.36

So it would cost 47.36 to fill the tank!


<h2>Hope this helps!</h2>
4 0
3 years ago
Evaluate the expression:<br> 3x + 2y when X=10 and y=4
sveta [45]

Answer:

38

Step-by-step explanation:

3x + 2y when X=10 and y=4

3(10) + 2(4)

30 + 8

38

5 0
3 years ago
Read 2 more answers
Find the area of the geometric figure.<br> Square<br> 9.8 ft
tresset_1 [31]

Answer:

96.04 ft

Step-by-step explanation:

nutiply 9. 8 by 9.8

8 0
3 years ago
Last year Jan had 25 model airplanes in her collection. This year she has 32% more model airplanes. Jan then gave her brother 6
Igoryamba

Answer: Jan now has 27 model airplanes.

Step-by-step explanation: The starting figure is 25 model airplanes and this year she has 32% more than she started with. We shall first find out how many that turned out to be. Let the current number of model airplanes be X.

X = 25 + 32%

[To calculate 32% of 25

25 x 32/100

(25 x 32)/100

800/100

8]

X = 25 + 8

X = 33

Now she has 33 model airplanes and she gave out 6 of these to her brother, then she finally has left with her, 33 minus 6 which equals 27.

Jan now has 27 model airplanes left

8 0
3 years ago
Two digit-
igor_vitrenko [27]

Let the number = 10x+y

x+y = 9

y-x = 1

(x+y)+(y-x) = 9+1

2y = 10

y = 10/2

<h3><u>y = 5</u></h3>

x+y = 9

9-y = x

x = 9 - 5

<h3><u>x = 4</u></h3>

<h2>So, your number is <u>45</u></h2>

... Hope this will help...

4 0
3 years ago
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