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2 years ago

Pythagoras was born about 582 BC.Isaac Newton was born in 1643 AD. How many years apart they born.?

1 answer:

8 0

Since BC is before Christ, we would count backwards. (like on a number line) Since AD is Anno Domini, we would count forwards. (like on a number line)
So just add them together to get the answer: 582 + 1643 = 2225
Therefore, it is 2225 years apart.

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Which of the following is not a solution for x < 8?<br><br> x = 9<br> x = 7.95<br> x = 4.3

faltersainse [42]

The answer is 9 because If x has to be less than 8 then it can’t be 9

3 0

2 years ago

Read 2 more answers

Define f(0,0) in a way that extends f to be continuous at the origin. f(x, y) = ln ( 19x^2 - x^2y^2 + 19 y^2/ x^2 + y^2) Let f (

kirill115 [55]

Answer:

f(0,0)=ln19

Step-by-step explanation:

$f(x,y)=ln(\frac{19x^2-x^2y^2+19y^2}{x^2+y^2})$ is given as continuous function, so there exist $lim_{(x,y)\rightarrow(0,0)}f(x,y)$ and it is equal to f(0,0).

Put x=rcosA annd y=rsinA

$f(r,A)=ln(\frac{19r^2cos^2A-r^2cos^2A*r^2sin^2A+19r^2sin^2A}{r^cos^2A+r^2sin^2A})=ln(\frac{19r^2(cos^2A+sin^2A)-r^4cos^2Asin^a}{r^2(cos^2A+sin^2A)})$

we know that $cos^2A+sin^2A=1$ , so we have that

$f(r,A))=ln(\frac{19r^2-r^4cos^2Asin^a}{r^2})=ln(19-r^2cos^2Asin^2A)$

$lim_{(x,y)\rightarrow(0,0)}f(x,y)=lim_{r\rightarrow0}f(r,A)=ln19$

So f(0,0)=ln19.

8 0

2 years ago

Michael went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 40 grams of sugar and

Fudgin [204]

40x+20y=300
x= amount of soda bottles
y= amount of juice bottles

Solving this equation, finding x&y will give you the number of each bottles!

I hope this helped!

~ Penny

8 0

2 years ago

Read 2 more answers

Lilly and Alex went to a Mexican restaurant. Lilly paid $9 for 2 tacos and 3 enchiladas, and Alex paid $12.50 for 3 tacos and 4

Tema [17]

Let's call Tacos t and Enchiladas e.
Lily paid $9 for 2t and 3e
Alex paid $12.50 for 3t and 4e.
Thus the equations would be.
$2t + 3e = 9.00$
$3t + 4e = 12.50$

4 0

2 years ago

Mr. Alvarez makes a walkway out of 3 cement slabs. He uses 14 cubic feet of cement to make the walk way. Each square slab has a

Natalija [7]

Answer:

The middle slab is 2 cubic feet.

Step-by-step explanation:

The problem presents the information: Mr. Alvarez makes a walkway out of 3 cement slabs.

However, he uses 14 Cubic feet of cement to make the walkway. Each square slab has a volume of 4 cubic feet.

Mr. Alvarez makes the way with 3 cement slabs (NC), each cement slab is 4 cubic feet (UC). It means, the cubic feet for the 3 cement slabs (CS) are:

CS = NC* UC = 3*4 = 12 cubic feet.

It means Mr. Alvarez uses 12 cubic feet with 3 cement slabs.

Mr. Alvarez used in total of 14 cubic feet of cement (TC). At this moment he used 12 cubic feet of cement (CS). It means, there will be a part of the cement slab used (PC).

PC = TC - CS = 14 - 12 = 2 Cubic feet.

Finally, the middle slab is 2 cubic feet of cement.

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2 years ago