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marusya05 [52]
3 years ago
6

Find two positive numbers such that the sum of one and the square of the other is 200 and whose product is a maximum.

Mathematics
1 answer:
kkurt [141]3 years ago
5 0
the maximum of f(y) must be occur at the middle point of two y-intercepts y = 0, and y =100 . So, (0+100)/2 = 50.
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What is the slope of the line perpendicular to the line with equation 4x-5y+13=0
motikmotik

Answer:

m = - 5/4

Step-by-step explanation:

If two lines are perpendicular, their slopes are negative reciprocals, which means that their product is -1

We can write the equation

4*x - 5*y + 13  = 0

as:      5*y  =  4*x  + 13      or    

y  = (4/5)*x  + 13        (1)

Equation (1) is the equation of a straight line in its slope point form, 4/5 is the slope, according to this  the slope of a perpendicular line is

-5/4

4 0
3 years ago
A study was done that looked at how much red meat people consumed and how long they lived. The correlation r was found to be 0.9
AVprozaik [17]

Answer:

False

Step-by-step explanation:

Since the correlation r was found to be 0.98 (a value closer to 1).  

Let X =how much red meat people consumed

let Y = how long they lived.

where the x-values are the values of the deviations of co-ordinates X from Xₙ, their mean value and the y-values are the values of the deviations of co-ordinates Y from Yₙ, their mean value.

That is, x=(X−Xₙ) and y=(Y−Yₙ).

The results of this determination give values of r lying between +1 and −1, where;

+1 indicates perfect direct  correlation,

−1 indicates perfect inverse correlation and

0 indicates that no correlation exists.

Between these values, the smaller the value of r, the less is the amount of correlation which exists.

Generally, values of r in the ranges 0.7 to 1 and −0.7 to −1 show that a fair amount of correlation exists.

therefore, it can be seen that there is a perfect relationship between the quantity eaten and how long the person live

But, the correlation does not consider those that does not consume meat, and it is very hard to determined the answer to the question.

the answer is false because there are other reasons that determined longevity of life apart from meat consumption.

3 0
4 years ago
Find the slope and y intercept of the line represented by each table
d1i1m1o1n [39]

5. m=3 because 6/2 is the slope. b= 1

6. m= -4 because -20/5 is the slope. b= 140

5 0
3 years ago
Help this is binary operations btw
saul85 [17]

Answer:

69

Step-by-step explanation:

p ÷q = 3p^2 -29

5÷3=3 x 5^2 - 2x3 = 3 x 25 - 6 = 75 - 6 = 69

8 0
3 years ago
Simplify 4n 5 + 3.5n 5 + (-2.1n 5).<br><br> a.20n5<br> b.6.4n5<br> c.5.4n5<br> d.4.4n5
Brrunno [24]

Answer:

C) 5.4n^5

Step-by-step explanation:

4n^5+3.5n^5+(-2.1n^5)

7.5n^5-2.1n^5

5.4n^5

5 0
3 years ago
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