Solution:
Total number of Days that Pooja's plant survived= 2 + 98 = 100 Days=(t)
Longest Height obtained by plant = 30 cm= h
As the two , i.e number of Days lived by plant and it's longest height obtained are directly proportional.
We will solve it by unitary method.
100 Days = 30 cm
1 cm = Days
If height of the plant is h cm ,and amount of time taken is t days, then
h(t) cm = ,for t=0,1,2,3,4,5,6....we get different values of h.
Answer: 4x + 6y >/ 50
Step-by-step explanation:
The answer is A. 4x + 6y is greater than or equal to 50
Answer: A. A=(1000-2w)*w B. 250 feet
C. 125 000 square feet
Step-by-step explanation:
The area of rectangular is A=l*w (1)
From another hand the length of the fence is 2*w+l=1000 (2)
L is not multiplied by 2, because the opposite side of the l is the barn,- we don't need in fence on that side.
Express l from (2):
l=1000-2w
Substitude l in (1) by 1000-2w
A=(1000-2w)*w (3) ( Part A. is done !)
Part B.
To find the width w (Wmax) that corresponds to max of area A we have to dind the roots of equation (1000-2w)w=0 ( we get it from (3))
w1=0 1000-2*w2=0
w2=500
Wmax= (w1+w2)/2=(0+500)/2=250 feet
The width that maximize area A is Wmax=250 feet
Part C. Using (3) and the value of Wmax=250 we can write the following:
A(Wmax)=250*(1000-2*250)=250*500=125 000 square feets
Answer:
x = 10
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin60° = 
, then
sin60° = 
= 
= ( cross- multiply )
2x = 20 ( divide both sides by 2 )
x = 10
Answer:
9^8
Step-by-step explanation:
The total number of ants is
(total number of sections)(ants in each section).
let x be the total number of ants.
Substitute the given values.
x = (9^2)(9^6)
x = 9^(2+6) <= exponent rule: when multiplying exponents with the same base, add the exponents.
x = 9^8
