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NikAS [45]
4 years ago
5

2/3 to the fourth power

Mathematics
2 answers:
anastassius [24]4 years ago
8 0
16/81 might be able to be simplified

Stella [2.4K]4 years ago
5 0
The correct answer is 16/81. Hope this helps.
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I need help on this pls help
levacccp [35]

Answer:

slope = -\frac{3}{4}

Step-by-step explanation:

The slope of a line can be found by identifying two points and the graph and finding the overall change in y over the change in x:

slope=\frac{(y_{2}-y_{1})  }{(x_{2}-x_{1})  }

Using the points on the given graph of (-3, 2) and (1, -2):

\frac{-1 - 2}{1 - (-3)}=\frac{-3}{4}

So, slope = -\frac{3}{4}

8 0
4 years ago
Given the function F (x) = x2 -2x -5 determine the average rate of change of the function over the interval -5 < x <6.
KengaRu [80]

Answer:

1

Step-by-step explanation:

Here f(x) = x^2 - 2x - 5, which at x - -5 is 25 +10 - 5 = 30 and at x = 6 is 19.

The average value of a function f(x) over an interval [a, b] is

                  f(b) - f(a)

ave. val. = ---------------

                     b - a

which in this particular case is

                     19 - 30

ave. val. = ----------------- = -11/11 = 1

                     6 - (-5)

The average value of this function f(x) = x^2 - 2x - 5 on [-5, 6] is 1.

4 0
3 years ago
A king Palm can grow about 21 feet a year . Estimate the height of the kind palm , yard ,after 15 years
Lapatulllka [165]

Answer:

300

Step-by-step explanation:

Estimate 21

= 20

20 x 15 = 300

Hope its correct.

5 0
3 years ago
A submarine is moving parallel to the surface of the ocean at a depth of 626 m. It begins a
bija089 [108]

Answer:

<em>a) the angle of ascent is 8.2°</em>

<em>b) the horizontal distance traveled is 4375 m</em>

Step-by-step explanation:

depth of ocean = 626 m

distance traveled in the ascent = 4420 m

This is an angle of elevation problem with

opposite side to the angle = 626 m

hypotenuse side = 4420 m

a) angle of ascent ∅ is gotten from

sin ∅ = opp/hyp = 626/4420

sin ∅ = 0.142

∅ = sin^{-1} 0.142

∅ = <em>8.2°  this is the angle of ascent of the submarine.</em>

b) The horizontal distance traveled will be gotten from Pythagoras theorem

hyp^{2} = opp^{2} + adj^{2}

The horizontal distance traveled will be the adjacent side of the right angle triangle formed by these distances

4420^{2} = 626^{2} + adj^{2}

adj = \sqrt{4420^{2}-626^{2}  }

adj = <em>4375 m  this is the horizontal distance traveled.</em>

6 0
3 years ago
Find the unknown quantity
ycow [4]
I= $75 

500 x 5% x 3 years = 75
5 0
3 years ago
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