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vredina [299]
3 years ago
12

The student body of 205 wants to elect a president, vice president, and a secretary. Is an example of permutation or combination

.
Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
8 0

Answer:

Combination

Step-by-step explanation:

Permutation is likely used more for lists/ordered things.

Combination is used more for groups.

Since we are trying to elect a group of people (president, vice president, and secretary) out of 205 students, we use combination.

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Click the image please...
dexar [7]

Answer:

9^{-7}, 9^{-2}

Step-by-step explanation:

\frac{9^5\times9^{-9}}{9^3}\\\frac{9^{-4}}{9^3}\\ 9^{-7}

When you multiply like terms, you add their powers. When dividing like terms, you subtract their powers (subtract the power in the denominator from the one in the numerator).

(9^4)^3\times9^{-14}\\9^{12}\times9^{-14}\\9^{-2}

8 0
3 years ago
John’s father is 5 times older than John and John is twice as old as his sister Alice. In two years time, the sum of their ages
oksano4ka [1.4K]

Answer:

8 years

Step-by-step explanation:

Let age of father be f

age of John be j

age of Alice be a

John's father is 5 times as old as John. We can write:

f = 5j

John is twice as old as Alice. We can write:

j = 2a

or

a = j/2

SUM OF ALL OF THEIR AGES (after 2 years) will be 58. We can write:

f+2 + j+2 + a+2 = 58

This becomes:

f + j + a + 6 = 58

f + j + a = 52

Now, we replace third equation with the first two (in bold) and get:

f + j + a = 52\\5j + j + \frac{1}{2}j=52\\6.5j=52\\j=8

So John is 8 years old

7 0
2 years ago
Suzanne needs material for her school project. She buys 4.75 yards of material at $5.37 a yard. What is the total cost of the ma
vovangra [49]
The material costs 5.37 for 1 yard.

 Multiply the cost of 1 yard by the number of yards bought:

5.37 per yard x 4.75 yards = $25.51 Total cost.

The answer would be D.
3 0
3 years ago
Yesterday 6 of the 20 students in ms.healys. class took the bus to school
Rus_ich [418]
If 6/20 took the bus then there is 14/20 remaining.
6/20 simplified is 3/10.
14/20 simplified is 7/10.

Hope This Helps You!
<span>Good Luck Studying :)</span>
8 0
3 years ago
I really need help I would appreciate it if someone could help me
sleet_krkn [62]

Answer:

a) The vertex of the graph is (h,k) = (0, 31), b) a = -16, c) The equation of the parabola is f(t) = -16\cdot t^{2}+31.

Step-by-step explanation:

a) The tennis ball experiments a free fall, that is, an uniform accelerated motion due to gravity and in which effects from Earth's rotation and air viscocity are negligible. The height of the ball in time is represented by a second order polynomial. Hence, the vertex of the parabola is the initial point highlighted in graph.

The vertex of the graph is (h,k) = (0, 31).

b) If we know that (h,k) = (0, 31), f(t) = a\cdot (t-h)^{2} + k and (t,f(t)) = (1,15), then the value of a is:

f(t) = a\cdot (t-h)^{2} + k

15 = a\cdot (1-0)^{2}+31

15 = a\cdot 1 + 31

a = 15-31

a = -16

c) The equation of the parabola is f(t) = -16\cdot t^{2}+31.

4 0
3 years ago
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