Answer:
40 cones
Step-by-step explanation:
75/100=3/4
30/75=10/25=40/100
+10
40 is your answer
Answer:
false
Step-by-step explanation:
the relationship between lengths/dimensions and areas is that areas are created by multiplying 2 dimensions.
when you quadruple (×4) the dimensions, then the areas are growing with the square of the factor (×4×4 = ×16), because the factor goes twice into the multiplication : one time for every dimension involved.
so, quadrupling the dimensions would multiply the areas by 16.
Answer:
121 degrees
Step-by-step explanation:
Given
Radius r = 18ft
Length of the arc = 38ft
Required
angle of rotation
Using the formula
Length of an arc = theta/360 * 2πr
Substitute the given data
38 = theta/360 * 2π(18)
38 = theta/360 * 113.04
theta/360 = 38/113.04
theta/360 = 0.33616
theta = 0.33616 * 360
theta = 121.02
Hence the angle of rotation to the nearest degree is 121 degrees
Katie, Let the number of nickles = N Since there are 7 more dimes than nickles, the number of dimes D = N + 7 Since there are 4 more quarters than nickles, the number of quarters Q = N + 4 Since quarters = $0.25, dimes = $0.10, and nickles = $0.05 and all added together = $4.90 ⇒ 0.25·Q + 0.10·D + 0.05·N = 4.90 Now multiply through by 100 to eliminate the decimal: 25Q + 10D + 5N = 490 Substitute for Q and D 25(N+4) + 10(N+7) + 5N = 490 25N + 10N + 5N +100 +70 = 490 40N + 170 = 490 ⇒ 40N = 320 ⇒ N = 320/40 N = 8, D = N+7 = 15 Q = N+4 = 12 Check: 25(12) + 10(15) + 5(8) = 300 + 150 + 40 = 490
Answer:
(a) 
(b) 25,000
(c) 4.3068 min.
Step-by-step explanation:
Rate of change in the number of bacteria is proportional to the number present.
Let N is the population of bacteria.
∝ N ⇒ 
{ k = proportionality constant}
initial population No. = 10,000
= 20,000
and 
(a) For population growth
----------(1)
![ln10=ln[e^{k(t_1+10)}]](https://tex.z-dn.net/?f=ln10%3Dln%5Be%5E%7Bk%28t_1%2B10%29%7D%5D)
----------(2)
from equation (1) and (2)
so expression will be
(b) for t = 20
= 
= 10,000 × 25
= 25,000
(c) Since 
[from equation (1)]
= 4.3068
= 4.3068 min.
