Answer:
26
Step-by-step explanation:
W = ∫ f(x) dx
W = ∫₁³ (3x + 7) dx
W = (1.5x² + 7x) |₁³
W = (1.5(3)² + 7(3)) − (1.5(1)² + 7(1))
W = 26
Let us assume capacity of large bottle = 1000 ml.
And capacity of each small bottle = 25 ml.
Reaming milliliters in large bottle = 250 milliliters.
Number of bottles = x bottles.
Total capacity of large bottle - capacity of a small bottle × number of bottles > Reamining milliliters in large bottle.
Therefore, we can setup an inequality.
1000 - 25 × x > 250.
1000 -25x >250.
smallest triangle 5.7/11,
medium triangle 11/x
5.7/11=11/x
x=11*11/5.7≈21.2 (longer leg of the medium triangle)
difference between 6 and 5.7 is 6-5.7=0.3 ,
screen going to be 0.3 feet less, than leg of the medium triangle that was found
21.2-0.3=20.9 ft
Answer:
Step-by-step explanation:
In a geometric sequence, the next term is a constant times the previous term. This constant is determined by dividing the second term by the first, here giving 5. The remaining terms are checked to see that each is 5 times the previous. 75 is 15×5, 375 is 75×5.
Alternately, the nth term is first term times k^(n-1).
Here, that's 3×5^(10-1), 3×5^9=5859375
45% of 76
45%=0.45
0.45*76
34.2
34.2 is about 34
so 34
