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3 years ago

What is the total number of different 10-letter arrangemenis that can be

Mathematics

2 answers:

sp2606 [1]3 years ago

5 0

Answer:

151200

Step-by-step explanation:

Tema [17]3 years ago

4 0

Answer:

it's 3628800

Step-by-step explanation:

the order matters, so it would be

10 nPr 10

once you put that in the calculator you have your answer!

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Translate each English phrase in the following problem into an algebraic expression and set up the related equation. Let z be th

Ede4ka [16]

The English phrase of the obtained equation is 12 times z subtracted by 3. The obtained equation after solving is 12z -23

<h3>What exactly is simplification?</h3>

Simplifying means making something easier to do or comprehend, as well as making something less difficult.

Given data;

z be the unknown number

Given conditions;

1. The difference between a number and −23.

2.−23 is equal to the product of the number and 13.

The mathematical form of the given phrase is;

⇒ z - (-23) = z × 13

⇒z+23 = 13z

⇒12z -23

The English phrase of the obtained equation is 12 times z subtracted by 3.

Hence the simplification of the given expressions is 12z -23.

To learn more about the simplification, refer to:

brainly.com/question/23509407

#SPJ1

6 0

2 years ago

Bethany and her family are attending the Funville Town Fall Festival, and the first thing they do is get in line for the Maize (

erik [133]

Answer:

Part 1: 31.4 feet

Part 2: 61 feet

Part 3: 99,000 stalks of corn

Step-by-step explanation:

Part 1:

Diagram attached.

You can follow the problem closely and draw a diagram like this. The RED LINE is the distance we are looking to find.

The red line is the hypotenuse of a right triangle we can create (see the dotted line). We can now use the pythagorean theorem to solve for the distance.

Pythagorean Theorem is hypotenuse^2 = leg^2 + leg^2

Let red line [what we want to find] be h and the other 2 sides are 10-5=5 ft & 25 + 6 = 31ft. So we have:

$h^2 = 31^2 + 5^2\\h=\sqrt{31^2 + 5^2} \\h=31.4$

Hence Bethany has to walk 31.4 feet

Part 2:

See 2nd diagram attached.

The blue line is the path of Bethany and the green line is path of Ben. The RED line is what we are looking to find, the shortest distance between them.

We use Pythagorean Theorem twice on the two triangles and add up the results.

Left Triangle:

If we make a triangle, we have base (one leg) = 30 and the other leg is 20-10=10. So we have:

$h^2=30^2 + 10^2\\h=\sqrt{30^2 + 10^2} \\h=31.62$