admin

2 months ago

Guest #218

2 months ago

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

Question

A random sample of 31 charge sales showed a sample standard deviation of $50. a 90% confidence interval estimate of the population standard deviation is

Solution 1

The confidence interval of a standard deviation is given by:

Given a sample size of 31 charge sales, the degree of freedom is 30 and for 90% confidence interval,

Therefore, the 90% confidence interval for the standard deviation is given by

Given a sample size of 31 charge sales, the degree of freedom is 30 and for 90% confidence interval,

Therefore, the 90% confidence interval for the standard deviation is given by

Question

A map has the scale 2 centimeters = 1 kilometer. on a map, the area of a forest preserve is 3.8 square centimeters. what is the area of the actual forest preserve

Solution 1

We know that

the scale is 2 cm/1 km

on a map, the area of a forest preserve is 3.8 cm²

assuming it has a square shape

the length side of the square is √3.8 cm

so

if 2 cm on a map-----------------> is a 1 km in the actual

√3.8 cm------------------------> x

x=√3.8/2 km

the area of the actual forest preserve is

(√3.8/2)*(√3.8/2)----> 3.8/4---> 0.95 km²

**the answer is**

**0.95 km²**

the scale is 2 cm/1 km

on a map, the area of a forest preserve is 3.8 cm²

assuming it has a square shape

the length side of the square is √3.8 cm

so

if 2 cm on a map-----------------> is a 1 km in the actual

√3.8 cm------------------------> x

x=√3.8/2 km

the area of the actual forest preserve is

(√3.8/2)*(√3.8/2)----> 3.8/4---> 0.95 km²

Question

(a) [5 points] using only the definition, find the laplace transform y (s) of y(t) = e a t where a is a constant. for what values of s does the laplace transform y (s) exist? (b) [10 points] solve, using laplace transforms, the initial value problem: y 00 − 4y 0 + 4y = 3, y(0) = 0, y0 (0) = 1.

Solution 1

Find the Laplace transform y (s) of y (t) = e a t. Here, a is a constant. Which value of s exists for the Laplace transform y (s)? (0) = 0, y 0 (0) = 0, y (0) = 0,

Mathematics
2647929

History
842281

English
748681

Biology
586256

Social Studies
406852

Chemistry
368373

Business
348603

Physics
324927

Health
199835

Spanish
130075

Geography
112100

Computers and Technology
106146

Arts
77164

Advanced Placement (AP)
23675

World Languages
23213

French
22589

Engineering
19607

Law
17108

Medicine
13966

SAT
10987

German
3389

High School
3423409

Middle School
2092250

College
1518097

© 2023 SciencesFacts.com