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Savatey [412]
2 years ago
14

What is the greatest common factor of 42a^5b^3, 35a^3b^4 and 42ab^4

Mathematics
1 answer:
Ganezh [65]2 years ago
6 0

42a^5b^3

35a^3b^4

42ab^4

The greatest common factor is 7ab^3.

You're left with 6a^4, 5a^2b, and 6b

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A direct variation function contains the points (–9, –3) and (–12, –4). Which equation represents the function?
katen-ka-za [31]

Answer:

\displaystyle y = \frac{1}{3}x

Step-by-step explanation:

First, find the <em>rate of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:

\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{3 - 4}{9 - 12} = \frac{1}{3}

Then plug these coordinates into the Slope-Intercept Formula instead of the <em>Point-Slope</em><em> </em><em>Formula</em><em> </em>since you get it done much swiftly that way. It does not matter which ordered pair you choose:

−4 = ⅓[−12] + b

−4

\displaystyle ±0 = b \\ \\ y = \frac{1}{3}x

_______________________________________________

−3 = ⅓[−9] + b

−3

\displaystyle ±0 = b \\ \\ y = \frac{1}{3}x

**You see? I told you it did not matter which ordered pair you choose because you will ALWAYS get the exact same result.

I am joyous to assist you anytime.

8 0
2 years ago
Read 2 more answers
The graph of the parent function f(x) = x2 is dashed and the graph of the transformed function g(x) = (x – h)2 is solid. Use the
STALIN [3.7K]
The graph of the parent function f(x<span>) = </span>x2<span> is dashed and the graph of the transformed function </span>g(x) = (x<span> – </span>h)2<span> is solid.

If h=3 the vertex shifts to (3,0). 

If h=-5 the vertex is shifted to (-5,0)

I hope this helps! Sorry no one got back to you in the past few days ):
</span>
3 0
2 years ago
Read 2 more answers
Suppose the probability of an athlete taking a certain illegal steroid is 10%. A test has been developed to detect this type of
Travka [436]

Answer:

93.25% probability that they have taken this steroid

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Positive test

Event B: Taking the steroid.

Suppose the probability of an athlete taking a certain illegal steroid is 10%.

This means that P(B) = 0.1

Given that the athlete has taken this steroid, the probability of a positive test result is 0.995.

This means that P(A|B) = 0.995

Positive test:

99.5% of 10%(If the athlete has taken).

100-99.2 = 0.8% of 100-10 = 90%(Athlete has not taken)

Then

P(B) = 0.995*0.1 + 0.008*0.9 = 0.1067

Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid

P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.1*0.995}{0.1067} = 0.9325

93.25% probability that they have taken this steroid

4 0
2 years ago
On some days,Melvin commutes 3.5 hours per day to the city for business meetings.Last week he commuted for a total of 14 hours.H
DanielleElmas [232]
Formula:

Total hours ÷ hour per day

14 ÷ 3.5 = 4.

The answer is 4.

He commuted 4 days for the city.


3 0
2 years ago
The music you hear when listening to a magnetic cassette tape is the result of the magnetic tape passing over magnetic heads, wh
Elden [556K]

Using the given formula T = LS

And given the time is 3 minutes (3 x 60 = 180 seconds)and the speed is 4-1/2 inches per second:

180 = L x 4-1/2

Solve for L by dividing both sides by 4-1/2:

L = 180 / 4-1/2

L = 40

The length should be 40 inches.

7 0
2 years ago
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