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Gala2k [10]
3 years ago
15

Sam’s business manufactures 5 times as many widgets as Mary does every hour but Sam needs to stop for a few minutes every hour a

nd Mary does not. Mary makes 3 widgets during this time. Using the variables S for Sam and M for Mary, which equation represents this information? A) S=5M-3 B) M=S+8 C) M=5S-3 D) S= M+8
Mathematics
1 answer:
natita [175]3 years ago
6 0
Answer:
A) S=5M-3

Explanation:
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The student council has 10 members where 5 of the members are Seniors. They need to choose a President, Vice President, Secretar
natima [27]

Answer:

P=1/42.

Step-by-step explanation:

We know that the student council has 10 members where 5 of the members are Seniors. They need to choose a President, Vice President, Secretary and Treasurer. We calculate the probability that the President is a Senior:

We calculate the number of possible combinations:

C_4^{10}=\frac{10!}{4!(10-4)!}=210

Number of favorable combinations is 5.

Threfore, the probability is

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3 years ago
Use the graph of the function to find the domain of f. (Enter your answer using interval notation.).
Ulleksa [173]

Answer:

Domain: (-∞,0) ∪ [0,∞)

Range: [-3,∞)

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6 0
3 years ago
What are the solutions of the equation x^4 + 6x^2 + 5 = 0? Use u substitution to solve.
Radda [10]

Answer:

second option

Step-by-step explanation:

Given

x^{4} + 6x² + 5 = 0

let u = x², then

u² + 6u + 5 = 0 ← in standard form

(u + 1)(u + 5) = 0 ← in factored form

Equate each factor to zero and solve for u

u + 1 = 0 ⇒ u = - 1

u + 5 = 0 ⇒ u = - 5

Change u back into terms of x, that is

x² = - 1 ( take the square root of both sides )

x = ± \sqrt{-1} = ± i ( noting that \sqrt{-1} = i ), and

x² = - 5 ( take the square root of both sides )

x = ± \sqrt{-5} = ± \sqrt{5(-1)} = ± \sqrt{5} × \sqrt{-1} = ± i\sqrt{5}

Solutions are x = ± i and x = ± i\sqrt{5}

3 0
3 years ago
6. Solve the equation x2 = 80.
jonny [76]

Answer:

40

Step-by-step explanation:

80/2=40

4 0
3 years ago
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CaHeK987 [17]

Answer:

Its a right triangle

Step-by-step explanation:

8 0
3 years ago
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