Answer:
x = 5/26
Step-by-step explanation:
3/4 x + 5/8 =4x
<u>Answer:</u>
<em>101.6 feet</em>
<u>Step-by-step explanation:</u>
<em>First compute the perimeter of the first two windows: (3.4+5.2)*2=17.2</em>
<em>The perimeter of the four other windows: (3.6+4.8)*2=16.8</em>
<em>The total number of feet needed for the first two windows:</em>
<em>17.2*2 = 34.4 feet</em>
<em>The total number of feet needed for the four windows:</em>
<em>16.8*4 = 67.2 feet</em>
<em />
<em>The total number of feet needed is then: 34.4 + 67.2 = 101.6 feet.</em>
The first equation is separable:
dy/dx = x/y ⇒ y dy = x dx
(provided that y ≠ 0)
Integrating both sides yields
1/2 y² = 1/2 x² + C
Given that y(0) = -8, we find
1/2 • (-8)² = 1/2 • 0² + C ⇒ C = 32
so that the particular solution is
1/2 y² = 1/2 x² + 32
Solving for y explicitly, we have
y² = x² + 64
y = ± √(x² + 64)
but since y(0) is negative, we take the negative solution:
y = - √(x² + 64)
The second equation is also separable:
du/dt = (2t + sec²(t)) / (2u) ⇒ 2u du = (2t + sec²(t)) dt
Integrate both sides:
u² = t² + tan(t) + C
Given u(0) = -6, we have
(-6)² = 0² + tan(0) + C ⇒ C = 36
and so
u² = t² + tan(t) + 36
u = ± √(t² + tan(t) + 36)
but again we take the negative root here to agree with the initial condition, so
u = - √(t² + tan(t) + 36)
Answer: B. 10
-5C3 or 5 choose 3 refers to how many combinations are possible from 5 items, taken 3 at a time. To calculate combinations, we will use the formula nCr = n! / r! ... * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time.
-10 is the total number of all possible combinations for choosing 3 elements at a time from 5 distinct elements without considering the order of elements in statistics & probability surveys or experiments. The number of combinations for sample space 5 CHOOSE 3 can also be written as 5C3 in the format of nCr or nCk.
Step-by-step explanation: Hope this help :D
