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RoseWind [281]
2 years ago
9

What is the following product? Assume y>0

Mathematics
1 answer:
natta225 [31]2 years ago
5 0
We are asked to calculate the product:

By rewriting the square roots as a power, we can easily solve the expression, in fact:

so, the correct answer is A) y^3
You might be interested in
If x and y are two nonnegative numbers and the sum of twice the first ( x ) and three times the second ( y ) is 60, find x so th
stepan [7]
2x+3y=60 solve for x...

x=(60-3y)/2

p=xy^3, using x from above:

p=y^3(60-3y)/2

p=(60y^3-3y^4)/2

dp/dy=(180y^2-12y^3)/2

dp/dy=90y^2-6y^2

dp/dy=0 when:

90y^2-6y^3=0

6y^2(15-y)=0, we know y>0 so

y=15, since x=(60-3y)/2

x=7.5

(We solved it this way because otherwise you get quartic equations and cubic derivatives, yuck :P)
4 0
3 years ago
Read 2 more answers
Antibiotics in Infancy
leonid [27]

Answer:

e)The information from the sample does not give enough information  to support that more than 70% of Canadian children receive antibiotics during the first year of life

Step-by-step explanation:

The proportion we will use for the test is  p  = 70 %

From a random sample we got

n  =  616

x = 438      then   p₁ = 438/616     p₁  =  0,71    p₁  = 71 %

Then  q₁  =  1 - p₁      q₁  = 1 - 0,71    q₁ = 0,29   q₁ = 29 %

a) Hypothesis test:

Null hypothesis                      H₀           p₁   = p

Alternative hypothesis          Hₐ           p₁  > p >70 %

CI = 95 % significance level    α  = 5 %   α = 0,05

z(c) for  α  =  0,05   from z-table is    z(c)  = 1,64

b) To calculate  z(s)  =  ( p₁  -  p ) / √ p₁*q₁ / n

z(s) = ( 0,71  -  0,70 )/ √ 0,71*0,29/616

z(s) = 0,01 /0,01828

z(s) = 0,547 ≈ 0,55

c) p-value for   z(s) is from z-table   p-value ≈ 0,7088

d) p-value > 0,05   then we accept H₀  we don´t have enough evidence to reject H₀

e)The information from the sample does not give enough information  to support that more than 70% of Canadian children receive antibiotics during the first year of life

3 0
3 years ago
NEEd help! Will help alot tysm!
xz_007 [3.2K]

Answer:

3rd one

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Somebody HELP NOWWW
crimeas [40]

Answer:

y = 1/2x

Step-by-step explanation:

x - 2y = -4

x = -4 + 2y

x + 4 = 2y

2y = x + 4

y = 1/2x + 2

y = 1/2x

5 0
3 years ago
I'm confused about how to find x.
NikAS [45]
Hi! so you would find x by adding the corners up to 180 degrees.

steps:
Add the corners
90+(2x+1)+(5x+5)
7x+96=180
then subtract 96 from 180
you’d get 7x = 84
then divide 7 on both sides and get x=12
7 0
3 years ago
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