Ted's company has recieved an order to print 10^6 pages. ted's company has 100 machines , each of which can print 10^4 pages a day. ted's company can print the 10^6 pages in blank. in exponent form, this number of days can be represented as blank

1 day ; 10^0

Step-by-step explanation:

Given that:

Order received = 10^6 pages

Number of machines = 100

Daily printing capability by each machine = 10^4

Hence, total output per day = (10^4) * 100 = 10^4 * 10^2 = 10^4+2 = 10^6

Number of days required = number of order / daily output

Number of days = 10^6 / 10^6 = 1

In exponent form:

10^6 / 10^6 = 10^6-6 = 10^0

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

a² + b²= c²

24² + 7² = c²

c= 25