The shape of the base of this prism would be a rectangle.
Answer:
(2, -11)
Step-by-step explanation:
(x + 3, y + 2) = (5, -9)
x + 3 = 5
y + 2 = -9
x = 2
y = -11
Answer:
(a) 110 mm Hg
(b) 70 mm Hg
(c) 3/4 second
(d) see the attachment
Step-by-step explanation:
(a) The sine function has a maximum value of +1, so the maximum value of p is ...
pmax = 20·(+1) +90 = 20+90 = 110 . . . . . mm Hg
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(b) The sine function has a minimum value of -1, so the minimum value of p is ...
pmin = 20·(-1) +90 = -20+90 = 70 . . . . . mm Hg
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(c) The period of the sine function is 2π, so the value of t that makes the argument be 2π will be the period.
8π/3·t = 2π
t = 2π·3/(8π) = 3/4 . . . . . . multiply by the inverse of the coefficient of t
The period of her heartbeat cycle is 3/4 seconds.
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(d) a graph is attached.
<span>We say a function is undefined when the value gotten isn't present in the domain of the function, like division by a 0 denominator or 0 to the power of 0. That said, we would like to find out whether at each point in the domain, the two points x = 3 and x = 4 exist i.e we don't end up with the indeterminate form. Okay at x =3, we have f(3) = (3-6) (3+3) (3+4)/(3+6) (3-3) (3-4) = (-3) (6) (7) / 0 which is undefined. We don't have to show for x =4 since "4" is negative in the denominator. We would also end up with an undefined function. So, yes, Angie is right.</span>