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2 months ago

Guest #263

2 months ago

Call the path . Then the work done by along is given by the line integral,

Swapping the notation out for ordered component notation, I'll write

so that

The line integral reduces to

Swapping the notation out for ordered component notation, I'll write

so that

The line integral reduces to

Question

Round 0.246 to the nearest tenth

Solution 1

.2 is the correct answer to this question

Question

a shirt is slightly shop soiled so it is reduced by 30% it was £40.50 how much will it to be sold for?

Solution 1

It would be sold for 28.35

Question

Connor has £36 and Joshua has £48. What is the ratio of Connor’s money to Joshua’s

Solution 1

Connor : Joshua = 36 : 48 ⇒ (÷12) ⇒ 3 : 4

**Answer : 3 : 4**

Question

The ratio of the results of the local football team games won and lost is: 24:6 Simplify this ratio.

Solution 1

24 : 6 ⇒ (÷6) ⇒ 4 : 1

**Answer: 4 : 1**

Question

Is the function y=5/x linear or non linear?

Solution 1

Y = 5/x is non linear.

⇒ Power of x = -1

A function is linear when the power of x = 1

**Answer: non linear**

⇒ Power of x = -1

A function is linear when the power of x = 1

Question

What is the slope of the line represented by the equation 2x+5y=15

Solution 1

2x + 5y = 15

Subtract 2x from both sides:

5y = -2x + 15

Divide both sides by 5:

y = -2/5 x + 3

Given that y = mx + b, where m is the slope.

⇒ Slope = -2/5

**Answer: Slope = -2/5**

Subtract 2x from both sides:

5y = -2x + 15

Divide both sides by 5:

y = -2/5 x + 3

Given that y = mx + b, where m is the slope.

⇒ Slope = -2/5

Question

Brett mare a scale drawing of a rectangular room in his house.The actual room is 12 4/5 ft.The scale used to make the drawing was 1/4 in=1ft. What is the length in inches of the room on the drawing?

Solution 1

1/4 in : 1 ft

1 ft ⇒ 1/4 in

12 4/5 ft ⇒ 1/4 x 12 4/5 = 1/4 x 64/5 = 3 1/5 in

**Answer: 3 1/5 in**

1 ft ⇒ 1/4 in

12 4/5 ft ⇒ 1/4 x 12 4/5 = 1/4 x 64/5 = 3 1/5 in

Question

£600 is put in a bank. after a year the money has increased by 8% how much is now in the bank

Solution 1

Increased = 8% x £600 = 0.08 x 600 = £48

Money in the bank now = £600 + £48 = £648

**Answer: £648**

Money in the bank now = £600 + £48 = £648

Question

For a certain manufacturer, only ⅘ of the items produced are not defective.If 2,000 items are manufactured in a month, how many are not defective?

Solution 1

To find the number of non-defective chips, we simply use this equation:

2,000 * 4/5

8000/5

Now you simply divide:

1600

**1600 chips aren't defective**

2,000 * 4/5

8000/5

Now you simply divide:

1600

Question

An experienced roofer can work twice as fast as her helper. working together, they can shingle a new section of roof in 4 hours. how long would it take the experienced roofer, working alone, to complete the same job?

Solution 1

For this case, the first thing we must do is define variables.

We have then:

x: amount of time the assistant works

Y: amount of time the experienced person works

We then have the following system of equations:

x + y = 4

y = (1/2) x

Solving the system we have:

x = 8/3

y = 4/3

**Answer:**

**It would take the roofer, working alone, to complete the same job about:**

**y = 4/3 hours**

We have then:

x: amount of time the assistant works

Y: amount of time the experienced person works

We then have the following system of equations:

x + y = 4

y = (1/2) x

Solving the system we have:

x = 8/3

y = 4/3

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