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Alenkinab [10]
3 years ago
11

Donna Preski works 8 hours a day, 5 days a week. So far this year she

Mathematics
1 answer:
CaHeK987 [17]3 years ago
5 0

Answer:

She worked 17 weeks

Step-by-step explanation:

5 days = 1 week

8 hours = 1 day

8 x 5 = 40 hours per week

680 hours ÷ 40 hours per week = 17 weeks

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A parabola can be drawn given a focus of (8, 6) and a directrix of x=4. Write the equation of the parabola
Orlov [11]

Answer:

<em>The equation of the Parabola</em>

 <em>(y - 6 )² = 8 (x -6)</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given directrix  x = 4

we know that    x = h - a = 4

               h -a =  4  ...(i)

Given Focus  = ( 8,6)

we know that the Focus of the Parabola

         ( h + a , k ) = ( 8,6)

   comparing  h + a = 8 ...(ii)

                  k = 6

solving (i) and (ii) and adding

   h - a + h+ a = 8 +4

           2 h = 12

              h =6

   Put h = 6 in equation (i)

  ⇒     h - a =4

  ⇒   6 - 4 = a

  ⇒      a = 2

<u><em>Step(ii):-</em></u>

<em>The equation of the Parabola ( h,k) = (6 , 6)</em>

<em>( y - k )² = 4 a ( x - h )</em>

<em>(y - 6 )² = 4 (2) (x -6)</em>

<em>(y - 6 )² = 8 (x -6)</em>

<u><em></em></u>

3 0
3 years ago
A newborn baby had about 26,000,000,000 cells. An adult has about 4.94 times 10 to the 13 power cells. How many times as many ce
Tom [10]
2.6 • 10^10 = 26,000,000,000
4.94 • 10^13 = 49,400,000,000,000

49,400,000,000,000/26,000,000,000= 1900

And adult had 1900 times more cells than a newborn. Or if you want to put it in scientific notation it would be 1.9 • 10^3
4 0
3 years ago
If a=i-2j and b= 2i - xj are parallel, then x is.....<br>a) 4 3 2 ) 2 d 4.​
cupoosta [38]

Answer:

x = 4

Step-by-step explanation:

a = i-2j

b = 2i-xj

1 = k•2

-2 = k•(-x)

=> 1/2 = k

=> (-2)/(-x) = k

=> 1/2 = (-2)/(-x) => 1/2 = 2/x => x = 4

7 0
3 years ago
What is the discriminant of -2x to the power of 2 -x-1=0
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Uhhh 67904- 67903-iwbisbeus e
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Drew replaces the light bulb in the hall closet every 9 months and replaces the air filter every 6 months. He just replaced both
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The 18th month he will have to change both, 
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3 years ago
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