s +h = 1070 ( total number of downloads)
Rewrite as s =1070 - h
2.9s + 4.4h = 4393 ( total download size)
Substitute:
2.9(1070-h) + 4.4h = 4393
Simplify:
3103 - 2.9h + 4.4h = 4393
Combine like terms:
3103 + 1.5h = 4393
Subtract 3103 from each side:
1.5h = 1290
Divide both sides by 1.5:
h = 1290 / 1.5
h = 860
Replace h with 860 in first equation to solve for s:
s + 860 = 1070
s = 1070 - 860
s = 210
There were 210 standard downloads and 860 high quality downloads
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.
Discount amount: $160.20
Sale price: $729.80
Answer:
A. IV
Step-by-step explanation:
The figure is congruent, but rotated. Additionally, the figure is rotated/on point (4,4).
Answer:
x= 60°, y = 80°, z = 40°
Step-by-step explanation:
Look at the line substending 40° and Z°; you would see that both lines are parallel and so their angles are they the same.
Hence z= 40° { corresponding angles of parallel lines}
Similarly;
Look at the line substending 60° and x°; you would see that both lines are parallel and so their angles are they the same.
60° = x° { corresponding angles of parallel lines}
Now looking at the angle between x and y; let's call the angle between them r
And you would observe closely that r = z° = 40°{ vertically opposite angles are equal}
Note that x + r + y = 180°{ angle on a straight line}
y = 180° - ( x + r)
y = 180 - (60+40)
y = 180° - 100°
= 80°
