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VARVARA [1.3K]
3 years ago
8

Evaluate sin-|(-0.27 +0.95). a) 42.8 ° b) 56.1 ° c) 71.8 °

Mathematics
1 answer:
Aleks [24]3 years ago
6 0

Answer:

a) 42.8 degrees.

Step-by-step explanation:

sin-|(-0.27 +0.95) means the angle whose sine is (-0.27+0.95)

= sin-1(0.68)

Using a calculator the answer is 42.8 degrees.

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HELP NEEDED!!!! MUCH APPRECIATED
jeka94

We have

t_1 + t+2 = \dfrac{\sqrt{s}}{4} + \dfrac{s}{1100} = .5

Multiplying through by 1100,

275 \sqrt{s} + s = 550

275 \sqrt{s} = 550 - s

Squaring (which means we need to check later),

275^2 s = (550 - s)^2 = 550^2 - 1100 s + s^2

0 = s^2 - (1100 + 275^2) s + 550^2

0 = s^2 - 76725 s + 302500

s = \frac 1 2 (76725 \pm 1375 \sqrt{3113} )

s \approx 3.94285 \textrm{ or } s \approx 76721.0571

Clearly there's no way that giant number would work; must be extraneous.

Answer: 3.94

Merry Christmas!

7 0
2 years ago
What is the average rate of change for the function f(x)=3(0.25)^x over the interval -2 ≤ x ≤ 0
diamong [38]
Answer:
-22.5


Explanation:
Use the average rate of change equation
f(b)-f(a) / b-a
f(b) = f(0) = 3(.25)^0 = 3
f(a) = f(-2) = 3(.25)^-2 = 48

(3-48)/ 0-(-2)
(-45) / 2
-22.5
8 0
3 years ago
Graph the function f(x)=1/2 sqrt(x+1)
goldenfox [79]

The function is defined only if x+1 \geq 0 \iff x \geq -1. So, the leftmost point is x=-1, and we have


f(-1)=\frac{1}{2}sqrt(-1+1) = 0


So, the first point is (-1,0)


The three additional points seem arbitrary, so let's choose x=0,1,2. We have:


f(0)=\frac{1}{2}sqrt(0+1) = \frac{1}{2}


So, the second point is (0,\frac{1}{2})


f(1)=\frac{1}{2}sqrt(1+1) = \frac{\sqrt{2}}{2}


So, the third point is (1,\frac{\sqrt{2}}{2})


f(2)=\frac{1}{2}sqrt(2+1) = \frac{\sqrt{3}}{2}


So, the fourth point is (2,\frac{\sqrt{3}}{2})

3 0
3 years ago
which of the following is the most appropriate unit to describe the time you can drive a car based on the amount of gas
Sunny_sXe [5.5K]
If you're describing a time, then it has to have a unit of time. We have no idea how much gas you're talking about, so second, minute, and hour are all possibilities.
8 0
3 years ago
A. Original Price: $16.20
Tom [10]

Answer:

The final price is $ 22.68  And Proportional constant is 1.4  

Step-by-step explanation:

Given as :

The Original price = $ 16.20

The rate of increase = 40%

Let The final price = x

Now,

Final price after increase = initial price × ( 1 + \frac{\textrm Rate}{100}

Or. Final price after increase = $ 16.20 × ( 1 + \frac{\textrm 40}{100}

Or, Final price after increase = $ 16.20 × ( 1.4 )

∴ Final price after increase = $ 22.68

Now , Proportional constant = \frac{22.68}{16.20}

I.e Proportional constant = 1.4

Hence The final price is $ 22.68  And Proportional constant is 1.4  Answer

4 0
3 years ago
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