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Step2247 [10]
3 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]3 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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Enrique has $50 in his lunch account and spends $5 per day from the account. Maya has $46 in her lunch account and spends $4 per
VladimirAG [237]

Answer:

50 – 5x = y and 46 – 4x = y, is your answer

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3 years ago
I NEED SOME HELP PLS I WILL GIVE 30 POINTS FOR HELP
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Answer:

TRUE: Stalk grew by 6.25 inches, stalk grew 25 inches in 4 weeks, quotient 25/4 equals growth per week

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2 years ago
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 4 − 1 2
MissTica

Answer:

{\dfrac{127 \pi}{12}

Step-by-step explanation:

The formula for the volume for a solid of revolution about the x-axis on an interval [a,b] is

\displaystyle V = \int_{a}^{b} \pi y^{2}dx

If y =  4 - ½x, a = 1, and b = 2,

\displaystyle V = \int_{1}^{2} \pi (4 - \frac{1}{2}x)^{2}dx = \pi \int_{1}^{2} \left(\dfrac{8-x }{2}\right)^{2}dx=\dfrac{\pi }{4}\int_{1}^{2} \left(8-x\right)^{2}dx\\\\=-\dfrac{\pi }{4}\times \dfrac{1}{3}\left[ 8 - x)^{3}\right]_{1}^{2}= -\dfrac{\pi }{12 }\left [512 - 192x + 24x^{2}-x^{3} \right ]_{1}^{2}\\\\=-\dfrac{\pi }{12}(512 - 384 +  96-8) + \dfrac{\pi }{12}(512 - 192 +24 -1)\\\\= -\dfrac{216\pi }{12} + \dfrac{343\pi }{12} = \mathbf{\dfrac{127 \pi}{12}\approx 33.25}

The solid looks like the graph below.

 

8 0
3 years ago
Heng was trying to factor 10x^2+5x10x 2 +5x10, x, squared, plus, 5, x. She found that the greatest common factor of these terms
Svetllana [295]

Answer:

Width of Heng's area model is  2x + 1

Step-by-step explanation:

Given:

10x^2+5x

Greatest common factor is 5x

To Find:

The width = ?

Solution:

let the 10x^2+5x be the area

And  5x be the length

Then area  = length  x  width

Now rewriting the formula for width, we get

Width = \frac{area}{length}

Substituting the values in the above formula

Width =\frac{10x^2+5x}{5x}

Width = 2x + 1

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3 years ago
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