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alexandr1967 [171]
3 years ago
15

(2 to the power -1 ÷ 5 to the power- 1)2 × -5/8 to the power -1​

Mathematics
2 answers:
Luba_88 [7]3 years ago
8 0

Answer:

-8

Step-by-step explanation

2 to the power of -1 = 0.5

5 to the power of -1 = 0.2

0.5/0.2 = 2.5

So,

(2.5)2 x -5/8 to the power of -1

-5/8 = -0.625

-0.625 to the power of -1 = -1.6

So,

(2.5)2 x -0.625

5 x -0.625

= -8

san4es73 [151]3 years ago
3 0

Answer:

-8

Step-by-step explanation:

(2^-1 ÷ 5^-1) = 5/2

(5/2) x 2 = 10/2 or 5

-5/8 ^-1 = - 8/5

5 x - 8/5 = -40/5 or -8

Hope its helpful ☺️

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3 years ago
The line with equation a + 4b = 0 coincides with the terminal side of an angle θ in standard position and cos θ>0 . What is t
Nikitich [7]

Answer:

\frac{-1}{\sqrt{17} }

Step-by-step explanation

We have given that equation of line a+4b=0

⇒4b= -a

⇒b= \frac{-a}{4}

slope of line = tan\theta =\frac{P}{B}= \frac{-1}{4}

⇒ tan\theta is negative therefore it lies into 4th quadrant

By, Pythagoras theorem H^2=P^2+B^2

by putting value of P= -1 & B=4

the value of H=\sqrt{17}

with the given condition cos\theta>0

i.e. \theta∈ (3π/2, 2π)

now, sin\theta= \frac{P}{H}= \frac{-1}{\sqrt{17}}



6 0
2 years ago
The set of order pairs (-1, 8), (0,3) (1,2) and (2, -7) represent a function. What is the range of the function?
goldfiish [28.3K]
Answer: The range is the set {8, 3, 2, -7} which can be sorted to get {-7, 2, 3, 8}

------------------------------------------------------------------------------

Explanation:

The range is simply the set of possible y values. All you have to do is list all the y coordinates and surround the values in curly braces. The curly braces indicate a set. Every point is of the form (x,y). The y coordinate is the second value listed of each ordered pair.
8 0
3 years ago
Which of the binomials below is a factor of this trinomial?
Margaret [11]

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6 0
3 years ago
Six sprinters are racing in a 100-meter dash. How many different ways can a gold, silver, and
horrorfan [7]

Answer:

Step-by-step explanation:

Explanation

6 sprinters are in a race. Any one of the 6 could win. None of them can win 2 medals. So the first result is 6

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4 runners remain after 1 of the 5 have been choosen.  Any one of the 4 could win.

Answer 6 * 5 * 4 = 120

There are 120 ways of awarding 3 medals to 6 people.

3 0
1 year ago
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