He formula d = rt gives the distance traveled in time t at rate r a

Explain how finding the square root of a number is different from finding the cube root

sasho [114]

U could searc9 it up and it will help u

7 0

3 years ago

When the digits of two-digit, positive integer M are reversed, the result is the two-digit, positive integer N. If M > N, wha

hammer [34]

Answer:

The value of M is 91.

Step-by-step explanation:

Suppose T represents the tens digit and U represents the units digit.

Then the numbers M and N are:

M = 10T + U

N = 10U + T

Compute the value of M - N as follows:

M - N = 10T + U - 10U - T = 9T - 9U = 9 (T - U)

Given:

M > N

⇒ T - U > 0

⇒ T > U

Also, M - N is a multiple of 9.

Since M - N is a two-digit number, the possible values of M - N are:

18, 27, 36, 45, 54, 63, and 72

The values 81, 90 and 99 would not be considered since:

9 × 9 = 81

9 × 10 = 90

9 × 11 = 99

T - U = 9 (T - U) = 9 , 10 or 11 respectively and the largest difference for T − U we can get is 9 - 0 = 9 - 0 = 9.

Even this would result in N = 9, which is not a 2-digit number.

It is provided that the integer (M - N) has 12 factors.

Of the possible values of M - N the integer with 12 factors is 72.

The factors of 72 are:

1×72

2×36

3×24

4×18

6×12

8×9

So, M - N = 72.

⇒ M - N = 9 (T - U)

72 = 9 × 8

⇒ T - U = 8

And since T > U, the values of T and U are:

T = 9 and U = 1

We cannot use T - U = 8 - 0 = 8, because then N will be not a two-digit number.

So, M = 91 and N = 19 and their difference is 72.

Thus, the value of M is 91.

6 0

3 years ago

Look at pic <br> 14 points

Korvikt [17]

Answer:

The Second One I Think

Step-by-step explanation:

By what I understand that would be the one that is in standard form

7 0

3 years ago

A box contains 10 items, of which 3 are defective and 7are non defective. Two items are randomly selected, one at a time, with r

lorasvet [3.4K]

Necessary and sufficient conditions for application of binomial distribution :
1. trial must be Bernoulli, i.e. exactly two outcomes (defective or not defective)
2. number of trails is known and not dependent on outcomes (2).
3. probability of each trial must be known and is constant throughout trials (3/10, with replacement)
4. all trials are random and independent of each other.

6 0

3 years ago

Can somebody find the solution to this question

pav-90 [236]

<h3>Answer: (x,y) = (-2, 5)</h3>

======================================================

Explanation:

4x-3y = -23 is the same as 12x-9y = -69 when we multiply both sides by 3

-3x-2y = -4 is the same as -12x-8y = -16 when we multiply both sides by 4

Our updated system looks like this

$\begin{cases}12x-9y = -69\\ -12x-8y = -16\end{cases}$

Notice how we have 12x and -12x. They combine to 0x allowing the x terms to go away.

The y terms combine to -9y+(-8y) = -17y and the right hand sides combine to -69+(-16) = -85

After doing those three sets of additions, we get the new equation -17y = -101 which solves to y = -85/(-17) = 5

The last step is to use this y value to find x

4x-3y = -23

4x-3(5) = -23

4x-15 = -23

4x = -23+15

4x = -8

x = -8/4

x = -2

So the solution is (x,y) = (-2, 5)

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

Check:

Let's plug the solution into the first equation

4x-3y = -23

4(-2)-3(5) = -23

-8-15 = -23

-23 = -23

We get a true result. Let's do the same for the second equation

-3x-2y = -4

-3(-2) - 2(5) = -4

6 - 10 = -4

-4 = -4

This result is true as well. So we've confirmed both equations to fully confirm the solution of this system.

6 0

3 years ago