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
Answer:
A, B and D
Step-by-step explanation:
A. The polynomial is a trinomial.
A trinomial refers to a polynomial with three terms. This option is correct.
B. The degree of the polynomial is 6.
Degree refers to the highest power in the polynomial. This option is correct.
C. The leading coefficient is 1
This is false. The leading coefficient is the coefficient of the variable bearing the degree of the polynomial. This is wrong.
D. Written in standard form, the polynomial is –2x6 + x5 + 3.
This is correct.
6/13, when turned into a decimal, is equal to 0.4615384615... And so on. That decimal can be rounded to the nearest hundredth to become 0.46.
Is 0.46 closer to 0.5, or 0? When put on a number line, we can see how close it is to 0.5, which is the same as 1/2.
6/13, rounded to the nearest half, is 1/2.
Hope this helped =)
Answer:
Mya only used the dimensions from the scale drawing of a rectangle
Step-by-step explanation:
A
Well, if 1 mile = 1.6 kilometers and he's traveling at 18mph, then do 18 x 1.6 which = 28.8.
So, this is his current speed in kph
3 x 28.8 = 86.4
They will have traveled 86.4 kilometers
(I haven't worked with this kind of math in a while so correct me if I'm wrong!)
