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2 years ago

I need help with this question.

Mathematics

1 answer:

Strike441 [17]2 years ago

8 0

Answer:

Step-by-step explanation:

30/x = 25/100

cross multiply

3,000=25x

3,000/25=25x/25

3,000/25=120

60% of 120 = 60/100*120

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Four people enter their names into a drawing. The winner receives one of two different prizes that are randomly selected. The tr

galina1969 [7]

A) (-4,2π/3)
b) (4,4π/3)
c) (-2,π/3)
d) (2,5π/3)

7 0

3 years ago

Which of the following have the property that a(x)=a−1(x)? I. y=x II. y=1/x III.y=x^2 IV. y=x^3 A. I and II, only B. IV, only C.

valentina_108 [34]

Answer:

Correct answer:

A. I and II

Step-by-step explanation:

First of all, let us have a look at the steps of finding inverse of a function.

1. Replace y with x and x with y.

2. Solve for y.

3. Replace y with $f^{-1}(x)$

Given that:

$I.\ y=x \\II.\ y=\dfrac{1}x \\III.\ y=x^2 \\IV.\ y=x^3$

Now, let us find inverse of each option one by one.

I. y = x, a(x) = x

Replacing y with and x with y:

x = y

x = $a^{-1}(x)$ = $a(x)$ Hence, I is true.

II. $y =\dfrac{1}{x}$

Replacing y with and x with y:

$x =\dfrac{1}{y}$

$x=\dfrac{1}{a^{-1}(x)}$

$\Rightarrow a^{-1}(x) = \dfrac{1}{x}$

$a^{-1}(x)$ = $a(x)$ Hence, II is true.

III. $y =x^{2}$

Replacing y with and x with y:

$x =y^{2}\\\Rightarrow y = \sqrt x\\\Rightarrow a^{-1}(x) = \sqrt{x} \ne a(x)$

Hence, III is not true.

IV. $y =x^{3}$

Replacing y with and x with y:

$x =y^{3}\\\Rightarrow y = \sqrt[3] x\\\Rightarrow a^{-1}(x) = \sqrt[3]{x} \ne a(x)$

Hence, IV is not true.

Correct answer:

A. I and II

4 0

3 years ago

*PLEASE HELP MEEEEEE* You throw a dart at the board shown. Your dart is equally likely to hit any point inside the square board.

yawa3891 [41]

Answer:

19.63%

Step-by-step explanation:

The probability of scoring 8 points is the probability of getting a dart into the green circle.

That probability is equivalent to the area of the circle divided by the total area of the square board.

The area of the circle according to $A=\pi*r^2$ , is $25\pi$ cm squared

The area of the whole square board is one side squared: 20 squared = 400 cm squared

The probability is therefore equal to $25\pi/400 = \pi/16=0.19634=19.63%$ %

8 0

3 years ago

There are 10 balls in a bag numbered from to 10. Three balls are selected at random without replacement. a. How many different w

zhenek [66]

A) 30 possible combinations

B)1/10

4 0

3 years ago

What's the 2-step rules input 5,9,7,10 output 16 28 22 31

snow_tiger [21]

To solve this problem, we have to figure out a rule for the function. We are told that it is a two-step rule, so it is most likely the input multiplied by a coefficient plus a constant. Let’s let the input be represented by the variable x and the output be represented by the variable y. Using our knowledge, we can see that the outputs are close to triple the input, so we set up the preliminary equation:

y = 3x + b,

where b is a constant. If we want to solve for b, we must plug in one of our input/output pairs. If we plug in (5,16), we get the following:

16 = 3(5) + b

16 = 15 + b

1 = b

Then, we should substitute in this value into our equation and check our work.

y = 3x + 1

If we plug in the other points, this equation yields a true statement, so we know it is correct.

Hope this helps!

6 0

3 years ago