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sertanlavr [38]
3 years ago
11

The exponent indicates how many times the blank is used as a factor

Mathematics
1 answer:
Tamiku [17]3 years ago
7 0
The exponent indicates how many times the number is used as a factor
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Find how many six-digit numbers can be formed from the digits 2, 3, 4, 5, 6 and 7 (with repetitions), if:
Goshia [24]

Answer:

case 1 = 2592

case 2 =  729

case 1 + case 2 =  2916

(this is not a direct adition, because case 1 and case 2 have some shared elements)

Step-by-step explanation:

Case 1)

6 digits numbers that can be divided by 25.

For the first four positions, we can use any of the 6 given numbers.

For the last two positions, we have that the only numbers that can be divided by 25 are numbers that end in 25, 50, 75 or 100.

The only two that we can create with the numbers given are 25 and 75.

So for the fifth position we have 2 options, 2 or 7,

and for the last position we have only one option, 5.

Then the total number of combinations is:

C = 6*6*6*6*2*1 = 2592

case 2)

The even numbers are 2,4 and 6

the odd numbers are 3, 5 and 7.

For the even positions we can only use odd numbers, we have 3 even positions and 3 odd numbers, so the combinations are:

3*3*3

For the odd positions we can only use even numbers, we have 3 even numbers, so the number of combinations is:

3*3*3

we can put those two togheter and get that the total number of combinations is:

C = 3*3*3*3*3*3 = 3^6 = 729

If we want to calculate the combinations togheter, we need to discard the cases where we use 2 in the fourth position and 5 in the sixt position (because those numbers are already counted in case 1) so we have 2 numbers for the fifth position and 2 numbers for the sixt position

Then the number of combinations is

C = 3*3*3*3*2*2 = 324

Case 1 + case 2 = 324 + 2592 = 2916

4 0
3 years ago
What is the circumference of the circle?
Nady [450]

Answer:

18.84

Step-by-step explanation:

The formula for circumference is 2(pi)r, I think. The radius is 3. 3 times 2 is 6. 6 times 3.14 is around 18, I think.

4 0
3 years ago
I need help on this question plz
soldi70 [24.7K]

Cylinders are 3D figures, as they are solids with volume and take up space.

2D figures are flat figures that you can draw, like a square or circle.

1D figures are actually just a line, a segment, or a point, etc.

8 0
3 years ago
A board is leaning against a vertical wall. One end of the board rests on the ground at a point eight feet from the wall. The ot
Veseljchak [2.6K]

Answer:

36.87°

Step-by-step explanation:

Since ABC is a right-angle triangle, we can use trigonometric ratios to solve for unknown angles and sides.

For Angle at A, we have lengths of opposite and adjacent sides so we can use tangent at A.

tan(A) = opposite/adjacent

tan(A) = CB/AB

tan(A) = 6/8

A = (tan^-1)(0.75)

A = 36.86989765°

3 0
3 years ago
What is the area of this figure
notka56 [123]

Answer

370.2 inches^2

Step-by-step explanation:

find the mass of the circle by taking the radius ( 9) square it and times it by pi then divide it by 2. Add that with the (27 times 18) divided by 2.

5 0
3 years ago
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