Suppose you take a class from each of the following four professors: 1, 2, 3, and 4. You write five papers and get the following

The result is 10/117. We have three distinct letters and four unique non-zero digits. For letters, we have 26 options from A to Z. For digits, there are 9 choices from 1 to 9. As all selections must be distinct, we find the total number of codes as 26 × 25 × 24 × 9 × 8 × 7 × 6. For the specified code, we focus on the combinations with 5 vowels and 4 even digits, leading to a calculation of 5 × 25 × 24 × 8 × 7 × 6 × 4. Probability can thus be expressed as the ratio of these outcomes, yielding: 5 × 25 × 24 × 8 × 7 × 6 × 4 divided by 26 × 25 × 24 × 9 × 8 × 7 × 6.

Response:

Monomial

Trinomial

Monomial

Trinomial

Binomial

Explanation in detail:

A monomial consists of one distinct term

A binomial consists of two distinct terms

A trinomial consists of three distinct terms

In the first example, the -x^2 and +x^2 cancel each other, and since 2x and 4x are similar terms, combining gives you 6x, which is a monomial.

In the second example, after adding +3 and -2, you get three distinct terms that can't be combined, thus it's a trinomial

In the third example, all variables cancel out, resulting in just one term, 3, making it a monomial

In the fourth one, after combining like terms, you end up with:

x^3 + 3x^2 + 7x

This makes it a trinomial

In the last example, the 6x and -6x cancel, leaving two terms, qualifying it as a binomial.

Solution

The number of weeks in a year is 52 weeks

In a typical year, where each flea treatment lasts 4 weeks, Jim's dog would receive

Conversely, during especially bad flea years, when treatments only last for 3 weeks, Jim's dog would need

So in a year, Jim's dog would need 17- 13 =4 extra treatments.

4 treatments at 3 weeks each total 4×3 =12 weeks of additional treatment

Answer:

2550

Step-by-step explanation:

1) The initial amount borrowed is 17,000.

2) The interest rate is set at 5%.

3) Therefore, to calculate interest: 0.05 * 17000 equals 850.

4) Since the repayment takes 3 years, multiply by 3: 850 * 3 equals 2550.

5) Thus, the total interest that the shoe store is obligated to pay is 2550.

Response:1 and 2

Step-by-step Explanation:

Provided data

Volume required

For the initial cylinder

For the second cylinder

For the third cylinder

For the fourth cylinder

Thus, cylinders and meet the requirement as they remain under