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FromTheMoon [43]
3 years ago
11

Poor health is caused by not exercising

Mathematics
1 answer:
fredd [130]3 years ago
4 0
Also can be caused by the foods you eat aswell
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janet can make 4/5 of a necklace in 20 minutes. at this rate, how many necklaces, to the nearest tenth of a necklace, Can Janet
Arte-miy333 [17]

Answer:

Step-by-step explanation:

Janet can make:

4/5 of a necklace in      20min

2(4/5)=8/5 ............in       40 min

3(4/5)=12/5 ............in    60 min( one hour)

12/5=2 2/5 necklaces in one hour

or 2.4n in one hour

5 0
3 years ago
Use Lagrange multipliers to find the maximum and minimum values of f(x,y)=x+4y subject to the constraint x2+y2=9, if such values
Vesnalui [34]

The Lagrangian is

L(x,y,\lambda)=x+4y+\lambda(x^2+y^2-9)

with critical points where the partial derivatives vanish.

L_x=1+2\lambda x=0\implies x=-\dfrac1{2\lambda}

L_y=4+2\lambda y=0\implies y=-\dfrac2\lambda

L_\lambda=x^2+y^2-9=0

Substitute x,y into the last equation and solve for \lambda:

\left(-\dfrac1{2\lambda}\right)^2+\left(-\dfrac2\lambda\right)^2=9\implies\lambda=\pm\dfrac{\sqrt{17}}6

Then we get two critical points,

(x,y)=\left(-\dfrac3{\sqrt{17}},-\dfrac{12}{\sqrt{17}}\right)\text{ and }(x,y)=\left(\dfrac3{\sqrt{17}},\dfrac{12}{\sqrt{17}}\right)

We get an absolute maximum of 3\sqrt{17}\approx12.369 at the second point, and an absolute minimum of -3\sqrt{17}\approx-12.369 at the first point.

4 0
3 years ago
Justin ran 15 miles at a constant rate in 2.5 hours. The next day, he ran at a rate that was 1 mph slower. What was Justin’s rat
finlep [7]
We can use the factor label method for this problem. The real hint to these types of equations are the units. In this case the units are in miles per hour for the rate.
15 miles/ 2.5 hours = 6mph or 6 miles/hours
If his rate was 1 mph slower we just subtract 1 from 6 mph
6mph - 1mph= 5 mph.

Hope this helps, good luck.
6 0
3 years ago
Read 2 more answers
Which formula describes the following geometric sequence? Remember that n represents the term number.
anzhelika [568]
The formula on nth term is l=ar^(n-1)
The 1st term is 2 & r,the ration =3

Then is 2x3^(n-1). Mind you (n-1) is an exponent on 3
3 0
3 years ago
Read 2 more answers
Write the point-slope form of the equation for a line that passes through (6, -1) with a slope of 2
defon

ANSWER

y + 1=2(x-6)

EXPLANATION

The point-slope form of a line is given by;

y-y_1=m(x-x_1)

where

m = 2

is the slope of the line and (6,-1) is point.

We substitute the point and the slope into the formula to obtain:

y + 1=2(x-6)

Hence the b point slope form of the line with the given properties is

8 0
3 years ago
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