27 vessels
Step-by-step explanation:
get the volume of the rectangular vessel 60cm ×10cm ×45cm giving you 27000cm3.Find volume of one of the cube 10cm×10cm×10cm giving 1000cm3.
if 1 cube =1000cm3
? = 27000cm3
<u>27000cm3</u><u>×</u><u> </u><u>1</u><u>cube</u>
1000cm3
<em>di</em>
<em>vide</em><em> </em><em>then</em><em> </em><em>get</em><em> </em><em>your</em><em> </em><em>answer</em><em> </em><em>as</em><em> </em><em>27</em><em> </em><em>vessels</em>
39. 8 -0.7 are multiplied together so the answer is
(-0.7)^8
= 0.05765 to nearest 100 thousandth. ( using a calculator).
40. 10^4 + 0^12 = 10,000 + 0
= 10,000
Answer:
k = 9
Step-by-step explanation:
Consider the pattern on the right side , that is
= k(k + 2) + 1 = k² + 2k + 1
Equating
k² + 2k + 1 = 100 ( subtract 100 from both sides )
k² + 2k - 99 = 0 ← in standard form
(k + 11)(k - 9) = 0 ← in factored form
Equate each factor to zero and solve for k
k + 11 = 0 ⇒ k = - 11
k - 9 = 0 ⇒ k = 9
But k > 0 , then k = 9
Answer:
12.7m
Step-by-step explanation:
The equation for motion to be used to find how far the water travels is
xf = xi + Vix(t) + 1/2axt^2
xf = 0 + ViCos α(t) + 0
xf = ViCosα(t)
xf = 12 Cos 30°(t)
xf = (6√3)t
To find the total times we will use the vertical displacement equation
yf = yi + Viy(t) + 1/2ayt^2
0 = 0 + ViSinα(t) + (1/2 * (-9.8)t^2)
0 = 12Sin30°(t) - 4.9t^2
4.9t^2 = 12Sin30°(t)
4.9t^2 = 6t
Divide through by t
4.9t = 6
t = 6/4.9
t = 1.22secs
Put t = 1.22 into (6√3)t
xf = 6√3 * 1.22
xf = 12.7m
Use the point slope equation: y - y1 = m(x - x1)
(-1, -3); m = 4
Plug these numbers in.
y - (-3) = 4(x - -1)
y + 3 = 4x + 4
y = 4x + 1