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son4ous [18]
2 years ago
7

In a city, the people use

Mathematics
1 answer:
DanielleElmas [232]2 years ago
5 0

Answer:  4.14 \times 10^9

Explanation:

Place the decimal point between the first two digits to get 4.14

Now ask yourself: How many places must we move the decimal point to go from 4.14 back to 4,140,000,000?

The answer is 9 places to the right.

This means we'll have 9 as the exponent over the 10

4,140,000,000 = 4.14 \times 10^9

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9/14 / 5/12 simplify this fraction
nignag [31]
I'm assuming those are two fractions being divided. I just write it out. It looks scary but it's really not. Just do this:
~=this is my dividing sign when not in fraction form cause I don't have an actual sign here.

9/14 ~ 5/12

Then you KCF(Keep, Change, Flip). Keep the first number the same. Change the dividing sign to multiplication. Then flip the last fraction so that it is now 12/5.
The problem now stands as:

9/14 • 12/5

Simplify and the you have your final answer. I recommend looking up the keep change flip video by flocabulary in case you haven't checked it out yet. It really helped me learn this method. Hope this helped!!

-Liananna


8 0
4 years ago
The point (3,-4) is on the terminal side of an angle 0. What is cos 0?
aleksandr82 [10.1K]

9514 1404 393

Answer:

  C.  3/5

Step-by-step explanation:

The distance from the origin to the given point is ...

  d = √(3² +(-4)²) = √(9+16) = 5

The cosine of the angle is the ratio of the x-coordinate to this value:

  cos(θ) = x/d

  cos(θ) = 3/5

3 0
3 years ago
What is the inverse function of -5 (x-4) ^2+80
avanturin [10]
F(x)=-5(x-4)^2+80 
f(x)=-5(x²-8x+16)+80 
f(x)=-5x²+40x-80+80 
f(x)=-5x²+40x 

Replace f(x) to y, now switch the location of the variables x and y. Solve for new y. 

y=-5x²+40x 
x=-5y²+40y 
0=-5y²+40y-x 

Use quadratic formula to find the value of y. 

y=-40+-√(40^2 -4(-5)(-x)/2(-5)
f^-1(x)= (-40+-√1600-20x)/-10 <--- Not too sure about this one :/

Hope I helped :) 
8 0
3 years ago
Rationalize the denominator and simplify. 5/4-√3
Yakvenalex [24]
I assume the denominator is (4-√3)
Multiple both top and bottom by (4+√3)
[5(4+√3)]/[(4-√3)(4+√3)]
=[20+5√3]/[4²-(√3)²]
=[20+5√3]/13
4 0
3 years ago
Four times the sum of a number X and two is sixteen
brilliants [131]

Answer: x=14

Step-by-step explanation:

Subtract 2

from both sides of the equation.

X=16−2

Subtract 2

from 16

.

X=14

4 0
3 years ago
Read 2 more answers
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