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Anika [276]
3 years ago
12

Solve the formula for V in terms of d and m

Mathematics
1 answer:
Phantasy [73]3 years ago
5 0

Step-by-step explanation:

d = \frac{m}{V}

V \times d = m

V = \frac{m}{d}

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A town orchestra is holding auditions for 3 new flute players and 4 new trumpet players. If8 flutists try out, and 11 trumpeters
tensa zangetsu [6.8K]

A town orchestra needs 3 new flute players and 4 new trumpet players. 8 flutists and 11 trumpeters try out, then the orchestra should select 3 flutists from 8 and 4 trumpeters form 11.

They can choose 3 flutists from 8 in

C_8^3=\dfrac{8!}{3!(8-3)!}=\dfrac{8!}{3!\cdot 5!}=\dfrac{1\cdot 2\cdot 3\cdot 4\cdot 5\cdot 6\cdot 7\cdot 8}{1\cdot 2\cdot 3\cdot 1\cdot 2\cdot 3\cdot 4\cdot 5} =56 ways.

They can choose 4 flutists from 11 in

C_{11}^4=\dfrac{11!}{4!(11-4)!}=\dfrac{11!}{4!\cdot 7!}=\dfrac{1\cdot 2\cdot 3\cdot 4\cdot 5\cdot 6\cdot 7\cdot 8\cdot 9\cdot 10\cdot 11}{1\cdot 2\cdot 3\cdot 4\cdot 1\cdot 2\cdot 3\cdot 4\cdot 5\cdot 6\cdot 7} =330 ways.

Use the product rule: 56·330=18480 ways for conductor to choose his new members.

3 0
3 years ago
(07.02 LC)<br> What is the greatest common factor of x^8 and x^5?
nydimaria [60]

Answer:x

Step-by-step explanation:

8 0
3 years ago
Sofie makes and sells scarves. Her profit depends on what price she charges for a scarf
Mamont248 [21]

Answer:

a) 5<x<25

b) x≤5 or x≥25

c) x≥5 and x≤25

Step-by-step explanation:

Given the expression the

(x - 5) (50 - 2x) to represent sofie profit based on the price per scarf, x.

a) If Sofie's profit is increasing, them the expression for her profit must be greater than zero as shown.

(x - 5) (50 - 2x)> 0

Solving the inequality:

x-5>0 and 50-2x>0

If x-5>0

x > 5 or 5<x... (1)

Similarly when 50-2x>0

50-2x>0

50>2x

Dividing both sides by 2:

50/2>2x/2

25>x or x<25 ...(2)

Combining 1 and 2

5<x<25

b) if Sofie's profit is decreasing, the profit function must be less than or equal to zero as shown;

(x - 5) (50 - 2x)≤0

Solving the inequality

x-5≤0 and 50-2x≤0

x≤5 and 50≤2x

x≤5 or 25≤x

x≤5 or x≥25

c) If Sofia is not making profit then, the function (x - 5) (50 - 2x) is equal to zero i.e

(x - 5) (50 - 2x) = 0

x - 5 = 0 or 50-2x =0

x = 5 and 50 = 2x

x = 5 and x = 25

x≥5 and x≤25

5 0
3 years ago
30% discount at $300 purchase is
Molodets [167]

Answer:

Thus, a product that normally costs $300 with a 30 percent discount will cost you $210.00, and you saved $90.00. You can also calculate how much you save by simply moving the period in 30.00 percent two spaces to the left, and then multiply the result by $300 as follows: $300 x .

Step-by-step explanation:

3 0
3 years ago
Whats the slope form?
GaryK [48]

Answer:

The slope form would be 2/3x-6

3 0
3 years ago
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