Answer:
a) 1.28
b) 2.57*10^-7 mg²
c) 8.14*10^7 dm
d) 3.79 m/s
e) 9.78*10^-3 mg
Step-by-step explanation:
a) 7.31 / 5.7 = 1.28, km/km is the same unit, so they cancel each other out. The answer is 1.28 without unit.
b) (3.26*10^-3) * (7.88*10^-5) = 2.57*10^-7 mg², here, mg * mg, this is mg²
c) (4.02*10^6) + (7.74*10^7) = 8.14*10^7 dm, here, the unit are added together, so we maintain it
d) (7.8 - 0.34) m / (1.15 + 0.82) m = 7.46 m / 1.97 m = 3.79 m/s, here, the numerator has the unit of m, and the denominator has the unit of s. Giving us m/s.
e) (9.88*10^-3) - (9.66*10^-5) = 9.78*10^-3 mg. Here, the unit was subtracted from each other, so we maintain it.
Let
e = Gibson Explorer’s = 20
v = Gibson Flying V’s
So, our problem is
<u>Maximize</u>Money = 80e + 5v<span>
<u>Subject to</u>0 </span>≤ <span>e ≤ 20
</span>0 ≤ v ≤ 20
0 ≤ e + v ≤ 30
In order to solve this problem, we look at the graph (attached), and find the value of Money =80e + 5v at corner points to find the maximum value of money.
(e,v)=(0,0) >> Money = 80e+5v = 80*0+5*0 = 0
(e,v)=(0,20) >> Money = 80e+5v = 80*0+5*20 = 100
(e,v)=(20,0) >> Money = 80e+5v = 80*20+5*0 = 1600
(e,v)=(20,10) >> Money = 80e+5v = 80*20+5*10 = 1650 (maximum)
(e,v)=(10,20) >> Money = 80e+5v = 80*10+5*20 = 900
So Bob can make the
<u>most money = $1,650</u> when he makes and sell
e = <span>Gibson Explorer’s = 20
</span>v = Gibson Flying V’s = 10
Answer:
- tan(θ) = 5/3
- sin(θ) = 5√34/34
- sec(θ) = √34/3
Step-by-step explanation:
The hypotenuse is given by the Pythagorean theorem:
h = √(3² +5²) = √34
The trig functions are the ratios of sides:
Tan = Opposite/Adjacent
tan(θ) = 5/3
__
Sin = Opposite/Hypotenuse
sin(θ) = 5/√34 = (5/34)√34
__
Sec = Hypotenuse/Adjacent
sec(θ) = √34/3
Using translation concepts, it is found that the new intercepts are given as follows:
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In this problem, the function was shifted one unit right, hence the rule for the translated function is given by:
(x,y) -> (x + 1, y).
The y-intercept is given by f(0), hence for the shifted function it will be f(-1). We have that f(x) is an odd function and f(1) = 3, hence f(-1) = -f(1) = -3.
The x-intercept is given by x when f(x) = 0, hence:
(0,0) -> (0 + 1, 0) = (1,0).
More can be learned about translation concepts at brainly.com/question/4521517
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