Suppose a number cube is rolled twice. What is the probability that an odd number will show both times?

lilavasa [31]

An irrational number is a number that cannot be expressed as a fraction for any integers

For example:
Square root of 9
Square root of 36
Pi

5 0

3 years ago

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How do you write 89,000 in scientific notation

user100 [1]

Answer:

8.9 × 10^{4}

Step-by-step explanation:

Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10b.

Follow the steps below to see how 89,000 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 89,000

New Number: 8.9000

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 8 . 9 0 0 0

Decimal Count: 1 2 3 4

There are 4 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 8.9 (Please notice any zeroes on the end have been removed)

b = 4

Now the whole thing:

8.9 x 10^{4}

Step 4

Check your work:

10^{4} = 10,000 x 8.9 = 89,000

5 0

3 years ago

WILL GIVE BRAINLEIST THANK YOU AND FRIEND YOU NEED TO GIVE AWAY POINTS EASY A counterexample is an example showing that a statem

Zigmanuir [339]

4 ÷ 2 = 2
2 ÷ 4 = 1/2
As we can see, the order in which the numbers are divided yielded different results.

8 0

2 years ago

A circle whose center is at (3,-5) has equation

Llana [10]

Answer: a = 10

radius = 7

Step-by-step explanation:

The generic equation for a circle of radius R is, centered in the point (a, b)

(x - a)^2 + (x - b)^2 = R^2

In this case, we know that the center is (3, -5)

Then the equation of the circle must be something like:

(x - 3)^2 + (y + 5)^2 = R^2

And we have:

x^2 + y^2 - 6*x + a*y = 15

First, let's complete squares for x:

(x - 3)^2 = x^2 + 2*(-3)*x + (-3)^2 = x^2 - 6*x + 9.

Then we can add 9 to both sides of the equation to get:

x^2 + y^2 - 6*x + a*y + 9 = 15 + 9

(x^2 - 6*x + 9) + y^2 + a*y = 24

(x - 3)^2 + y^2 + a*y = 24

Now let's do the same for y:

(y + 5)^2 = y^2 + 2*5*y + 5^2 = y^2 + 10*y + 25

From this we can already see that a must be equal to 10, if we replace a by 10, the circle equation becomes:

(x - 3)^2 + y^2 + 10*y = 24

Now we can add 25 to both sides of the equation to get:

(x - 3)^2 + y^2 + 10*y + 25 = 24 + 25

(x - 3)^2 + (y + 5)^2 = 49

An the radius of the circle will be equal to:

r = √49 = 7

5 0

2 years ago

If 5 less than double a number is between -7 and 13

RideAnS [48]

Firstly, we will let this mystery number we are finding be labelled as x. Double this number can be written as 2x. 5 less than double this number is written as 2x - 5. And because this number is between -7 and 13, we have the full inequality, -7 < 2x - 5 < 13.

To solve this inequality, we want to isolate x, so we add 5 to all 3 parts of the inequality. Doing so cancels out the - 5 in the middle, so our new inequality is -2 < 2x < 18. Now we want to divide all 3 parts of the inequality by 2 to isolate x, so now our final inequality is -1 < x < 9. Thus, we can say that x is between -1 and 9.

3 0

3 years ago