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kotegsom [21]
2 years ago
11

Factor completely: –abc –5ac –4ab –20a

Mathematics
1 answer:
galben [10]2 years ago
3 0

Answer:

-a(b+5)(c+4)

Step-by-step explanation:

-abc-5ac-4ab-20\\-a(bc+5c+4b+20)\\-a*c(b+5)+4(b+5)\\-a*(b+5)(c+4)

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the factor for this expression is 7

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Find the number of steel ball bearings, each of diameter 0.7 cm, that can be made from 1kg of steel, given that 1cm cubed of ste
dimulka [17.4K]

Answer:

Ball Bearing Volume = (4 / 3) * PI * radius ^3

Volume = (4 / 3) * 3.14159265 * (.35)^3

Volume = (4 / 3) * 3.14159265 * 0.042875

Volume = 0.17959438 cc

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Volume of 1 kg of steel = 1,000 cc / 7.8 g per cc

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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

6 0
3 years ago
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Tisha and her academic team are working to go to state finals. They must have a certain number of points to advance. They have h
Westkost [7]

Answer:

b equals T minus a minus c minus d all over 3 ⇒ 3rd answer

Step-by-step explanation:

* Lets explain how to solve the problem

- Tisha and her academic team have had three local matches

# Assume that the points of the local matches are a , c , d

- They will attend a district match

- District match points count for three times the number of points

  than local matches do

# Assume that the points of the district match is b

- T is the total points they will earned in the four matches

∵ The points in the local matches are a , c , d

∵ The point in district mach is 3b

∴ T = a + c + d + 3b

* <u><em>Lets find b in terms of a , c , d , T</em></u>

∵ T = a + c + d + 3b

- Subtract a from both sides

∴ T - a = c + d + 3b

- Subtract c from both sides

∴ T - a - c = d + 3b

- Subtract d from both sides

∴ T - a - c - d = 3b

- Divide both sides by 3

∴ b=\frac{T-a-c-d}{3}

∴ b equals T minus a minus c minus d all over 3

4 0
3 years ago
Read 2 more answers
Find f. (antiderivative) . f '(t) = 4 cos (t) + sec^2(t), −π/2 &lt; t &lt; π/2, f(π/3) = 3
ArbitrLikvidat [17]
The antiderivative of the function f '(t) = 4 cos (t) + sec^2(t) is determined by applying integral calculus. The antiderivative of 4 cos (t) is -4 sin(t) while the antiderivative of <span>sec^2(t) is tan (t). The total term is -4 sin(t) + tan (t). We try to replace pi/3 and the answer is 3.</span>
6 0
3 years ago
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