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juin [17]
3 years ago
10

Evaluate (16/81) to the power 3/4

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
5 0

This reduces nicely if you first notice that 16/81 = (2/3)^4.

Then use the properties of powers (of positive real numbers):

(16/81)^(3/4) = ((2/3)^4)^(3/4) = (2/3)^3 = 8/27

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The table below shows the amount of money, in hundreds of dollars, Elliot has saved after different numbers of years:
Ulleksa [173]
A is the correct answer.
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3 years ago
Which equation represents the line that passes through the points (2,7) and (1,5)
Dimas [21]

Answer:

First we get the slope of line with points (2,3) & (1,5):

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29

m=%285-3%29%2F%281-2%29=2%2F%28-1%29

m=-2, slope

Knowing the slop, we can get the intercept in point (1,1):

y=mx%2Bb, SLOPE- INTERCEPT

1=-2%281%29%2Bb

b=1%2B2=3

so, the eqn of the line: highlight%28y=-2x%2B3%29

The line with points (2,3) & (1,5): same slope because parallel, we'll check

 

VIA POINT SLOPE FORM:

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29

m=%285-3%29%2F%281-2%29=2%2F-1 ----> m=-2, same right?

For the intercept thru pints (2,3):

Via SLOPE INTERCEPT FORM, we pick points (2,3)

3=-2%282%29%2Bb

b=3%2B4=7 ----> y intercept. The same value if you pick points (1,5).

Eqn of line: y=-2x%2B7 (Green line) parallel to y=-2x%2B3 (Red line)

See the graph,

--- see red line, it passes at point (1,1). Also green line passes points (2,3) & (1,5)

Step-by-step explanation:

5 0
3 years ago
Answer 396,397,398,399
ololo11 [35]

Answer:

yes you are right I think

6 0
1 year ago
Which equation would help find the measure of ZM?
3241004551 [841]

Answer:

\huge \boxed{ \boxed{ \sf x + 52 ^{o}  + 7 {2}^{o}  =18 {0}^{o} }}

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • triangle
  • equation
  • PEMDAS
<h3>given:</h3>
  • \angle V=52°
  • \angle P=78°
<h3>to find:</h3>
  • the equation
<h3>tips and formulas:</h3>
  • a triangle contains 180°
<h3>let's solve:</h3>

\text{since a triangle contains 180° the sum of the interior angles has to be 180°}

\text{therefore the equation is}

\mathfrak{x +  {52}^{o}  +  {78}^{o}  = 180 ^{0} }

3 0
2 years ago
Read 2 more answers
How does <br><br> h(x)=-(x-3)^2+4 <br><br> compare to the graph <br><br> g(x)=x^2
marin [14]
Top equation opens down and the second opens up
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