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3 years ago

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In a large bag of candy, each of the 5 colors (red, orange, yellow, blue, and green) occurs with the same probability. You reach

in and select 1 candy.
Find P(Yellow, blue, or green).

1 answer:

egoroff_w [7]3 years ago

7 0

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Describe what solving a trigonometric equation is.

AleksAgata [21]

That's an awfully broad question. Could you not be more specific?

A basic example: Suppose you are told that sin theta = 1/2. Solving this equation would require finding the measure of the angle theta. In this case the answer would be "30 degrees," or "pi/6 radians."

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3 years ago

If the ratio of y to x is equal to 3 and the sum of y and x is 80, what is value of y

Rus_ich [418]

Answer:

y = 60

Step-by-step explanation:

<h3>Step 1: Make sense of the given</h3>

"The ratio of y to x is 3"

This means that, $y\div x=3$

"The sum of y and x is 80"

This means, $x+y=80$

<h3>Step 2: Make use of the facts</h3>

If $y\div x=3$ , then $y = (3*x)$ .

We can plug this into the other equation by substitution:

$x + (3 * x)=80$

This simplifies to:

$4x = 80$

Which we can solve out and get:
$x=20$ .

<h3>Step 3: Plug and Chug</h3>

We solved for x, but we need the value of y.

So, we go back to the equation we first derived: " $y = (3*x)$ ".

And now we substitute the value of x, into this.

$y = (3 * (20))$

By solving this out, we get:
$y=60$

So, the value of y is 60.

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2 years ago

Find the perimeter of the figure to the nearest hundredth.

MariettaO [177]

Answer:

Step-by-step explanation:

7 0

3 years ago

A company has made a rubber ball for $0. 02 per square foot. The company wants to spend a maximum of $1 each on a new ball.

Misha Larkins [42]

The diameter of the new rubber ball, to the nearest foot, must be D = 4.0 ft (in the case of the maximum cost).

<h3>How to find the diameter of the ball?</h3>

Remember that for a sphere of diameter D, the surface area is:

A = 4*pi*(D/2)^2

In this case, the cost is $0.02 per square foot, and the company wants to expend (at maximum) $1 per ball, so first we need to solve:

$0.02*A = $1

A = $1/$0.02 = 50

So the surface of the ball must be 50 square feet.

Then we solve:

50ft^2 = 4*3.14*(D/2)^2

D = 2*√(50 ft^2/(4*3.14)) = 4.0 ft

If you want to learn more about spheres, you can read:

brainly.com/question/10171109

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2 years ago

Exercise 4.x2 Make a reasonable conjecture about the nth term in the sequence. 1 3 16 125 1296...

Ulleksa [173]

Answer:

The nth term in the sequence is given by the equation:

$n_{th} =(n+1)^{n-1}$

Step-by-step explanation:

Arranging a table for n and nth:

$\left[\begin{array}{ccc}n&nth\\1&1\\2&3\\2&16\\4&125\\5&1296\end{array}\right]$

It is easier to notice that 16 and 125 result from the second power of 4 and the third of 5, respectively, which are one number below their respective position. That is why we can deduce that the base of the power is n+1.

For n=2, the base n+1 results in 3, which matches the nth term for n=2. Since 3 is the result of 3 to the power of 1, 16 is 4 to the power of 2, and 125 is 5 to the power of 3, all the powers are one number behind n, so the power is given by n-1, giving the equation:

$n_{th} =(n+1)^{n-1}$

4 0

3 years ago