A motor with an efficiency of 75 percent must supply 240 j of useful work. What amount of work must be supplied to the motor.

Answers

Answer 1

Answer: E = 75% = 0.75, Work Output = Useful Work = 240 J, Work Input = ?

Efficiency, E = Work Output / Work Input

0.75 = 240 / Work Input

Work Input = 240 / 0.75

Work Input = 320

Amount of work supplied = Work Input = 320 J

I hope this explains it.

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Answers

Answer: counterclockwise rotation of 90° and a reflection over y axis

Step-by-step explanation:

True or false, A function is a relation if and only if the x-values do not repeat in a given set

Answers

Its false because it can't repeat in a set.

False, the x-values can repeat, whereas the y-values can't repeat. If the y-values repeat, it will cause the slope to be unidentified (horizontal line).

3/5x -15=6/5x+12This is a problem my grandson had to complete. I do not know how to work it. can you show me step by step how to do it so I can hep him?

Answers

Simplify 35x to 3x5

3x5−15=65x+12

2. Simplify 65x to 6x5
3x5−15=6x5+12

3. Multiply both sides by 5
3x−75=6x+60

4. Subtract 3x from both sides
−75=6x+60−3x

5. Simplify 6x+60−3x to 3x+60
−75=3x+60

6. Subtract 60 from both sides
−75−60=3x

7. Simplify −75−60 to −135
−135=3x

8 .Divide both sides by 3
−1353=x

9. Simplify 1353 to 45
−45=x

10. Switch sides
x=−45

Solve the equation by taking the square root 4(x+1)^2=100

Answers

Answer:

Step-by-step explanation:

4(x+1)²=100

(x+1)²= 5²

(x+1)²- 5² = 0

(x+1-5)(x+1+5) = 0 by identity : a² - b ² = (a - b) (a+b)

(x - 4 ) (x+6) =0

x - 4 = 0 or x+6 = 0

x = 4 or x = - 6

Very simple challenge hard question

Answers

Answer:

-58.41509433

Step-by-step explanation:

0.4+8(5-0.8*5/8)-5/(2.5)=34.4

[0.4+8(5-4/8)-(2)]=

[0.4+8(40-4)/8)-2=34.4 ( nominator)

15-(8.9-2.6/(2/3))*34*2/5 =-53

15-(8.9-3.9)*68/5

15-5*68/5=

15-68=-53 ( denominator)

(34.4/-53) *90

-58.41509433

How many different 12 member juries can be chosen from a pool of 25 people?

Answers

Answer: 5200300

Step-by-step explanation:

Given: Total number of people = 25

The number of member juries can be chosen from a pool of 25 people= 12

To calculate combinations, we use the formula as :-

$^nC_r = (n!)/(r!(n-r)!)$ , where n represents the total number of items, and r represents the number of things being chosen at a time.

Now, the number of different 12 member juries can be chosen from a pool of 25 people is given by :_

$^(25)C_(12) = (25!)/(12!(25-12)!)\n\n=(25!)/(12!13!)=5200300$

Hence, the number of different 12 member juries can be chosen from a pool of 25 people is 5200300.

A formula for the number of possible combinations or r objects from a set of n objects is
$nCr = (n!)/(r!(n-r)!)$
where n is 25 and r is 12. The number of ways is 5,200,300.

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