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3 years ago

How mcuh does a toothpick weigh in grams?

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

6 0

I believe 100mg. I'm not so sure though but, you can always check google you know..

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Derive the equation of the parabola with a focus at (_5, 5) and a directrix of y = -1.

mars1129 [50]

Answer: Option D is correct.

Step-by-step explanation:

Since we have given that

focus = (-5,5)

and a directrix y= -1

Since, equation of parabola in this case will be

$(x-h)^2=4.a(y-k)$

Now, here

$y=k-a=-1\\\\\text { focus =(h,k+a)}\\\\\text{So,} k+a=5\\\\\text{ by solving these two equation , we get }\\\\a=3\text{ and } k=2$

So equation will be

$(x+5)^2=4\times 3(y-2)\\\\(x+5)^2=12(y-3)\\\\y=\frac{1}{12}(x+5)^2+2$

So, option D is correct .

4 0

3 years ago

Read 2 more answers

A store sells small notebooks for $7 and large notebooks for $10 if a student buys 6 notebooks and spends $51 how many of each s

Finger [1]

He bought 3 small notebooks (3*7=21) and 3 large notebooks (3*10=30)
21+30=51

5 0

3 years ago

Read 2 more answers

Amount $100,000

sergey [27]

Answer:

1) Repaid for the loan = $239,511.60

2) Percentage = 58.2%

3) Average amount = $387.53

Step-by-step explanation:

Given :

Amount $100,000

Rate 7%

Payments 360 - $665.31

Total interest $139,511.60

To find :

1) How much will be repaid for this loan?

Repaid for the loan = Amount - Total interest

Repaid for the loan = 100,000 + 139,511.60

Repaid for the loan = $239,511.60

2) What percentage will be repaid for this loan?

$\text{Percentage}=\frac{\text{Total interest}}{\text{Repaid loan}}\times100$

$\text{Percentage}=\frac{139511.60}{239511.60}\times100$

$\text{Percentage}=0.582\times100$

$\text{Percentage}=58.2\%$

3) What will be the average amount per payment for interest?

$\text{Average amount}=\frac{\text{Total interest}}{\text{Payments}}$

$\text{Average amount}=\frac{\text{139511.60}}{\text{360}}$

$\text{Average amount}=387.53$

4 0

3 years ago

I have four factors 3 of my factors are 1,2,and 6 what is my fourth factor

Naddik [55]

12
2 multiplied by 6 is 12 and so 1 multiplied by something is 12
Hope this helps.

7 0

3 years ago

Read 2 more answers

Solve for y Y/3 + 25 = 31

ruslelena [56]

Answer:

y = 18

Step-by-step explanation:

8 0

2 years ago