Answer:
v = 23
Step-by-step explanation:
Formatting the question gives;
a = mg - kv² / m
Make v subject of the formula as follows;
(i) Multiply both sides by m
ma = m²g - kv²
(ii) Collect like terms
kv² = m²g - ma
(iii) Divide through by k
v² = (m²g - ma) / k
(iv) Take the square root of both sides
v = √ [(m²g - ma) / k] --------------(ii)
From the question:
a = 2.8
m = 12
g = 9.8
k = 8/3
Substitute these values into equation (i) as follows;
v = √ [(12²(9.8) - 12(2.8)) / (8/3)]
v = √ [(1411.2 - 33.6) / (8/3)]
v = √ [1377.6 / (8/3)]
v = √ [1377.6 x (3/8)]
v = √ [1377.6 x 3 / 8)]
v = √ [516.6]
v = 22.73
v = 23 [to the nearest whole number]
Therefore v = 23 to the nearest whole number
Total = Principal * (1 + rate)^years
Total = 3,300 * (1.018)^5
Total = 3,300 *
<span>
<span>
<span>
1.0932988468
</span>
</span>
</span>
Total =
<span>
<span>
<span>
3,607.8</span></span></span>9
The ratio is 12:36 of lemonade juice to water so 1:3, 2:6, 3:9 and so on.
Peanut butter: 8.3 ounces
Sandwich: 5
Divide 8.3 by 5, for equal amount of peanut butter on each sandwich.
8.3/5 = 1.66
She puts 1.66 ounces of peanut butter on each sandwich.
9514 1404 393
Answer:
4. A, B, C, and D
Step-by-step explanation:
Each right triangle has a short leg of 3 units and a long leg of 4 units. They are all congruent by the SAS congruence postulate.
