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iren [92.7K]
3 years ago
10

Find a particular solution to y′′+6y′+5y=18te^(2t).

Mathematics
1 answer:
Andreas93 [3]3 years ago
6 0

Answer:

idk just google it :)

Step-by-step explanation:

1. google it

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Jeff lives 12 miles east of Stan. Jeff lives 16 miles north of Wei. What is the shortest distance that Stan and Wei can live fro
Greeley [361]
|  \
|     \ 
| 16  \
|         \
|______\
 12

Envision this as a right triangle, with one leg of 12 miles, and the other 16 miles. Solve using the Pythagorean Theorem a²+b²=c²:

12²+16²=c²
400 = c²
20=c...they live at least 20 miles from each other.

7 0
3 years ago
Mai has a jar of quarters and dimes. She takes at least 10 coins out of the jar and has less than $2.00.
Rama09 [41]

Answer:

?

Step-by-step explanation:

Problem 1

Sketch or describe the figure in Step 4 and Step 15.

Pattern of small squares. Step 1 has 1 square. Step 2 has 4 squares, 2 by 2 with bottom left square moved to top right corner. Step 3 has 9 squares, 3 by 3 with bottom left moved to top right corner.

How many small squares will there be in each of these steps?

Write an equation to represent the relationship between the step number, , and the number of small squares, , in each step.

Explain how your equation relates to the pattern.

Problem 2

Which expression represents the relationship between the step number  and the total number of small squares in the pattern?

A pattern of small squares. Step 1 has 0 squares. Step 3 has 3 squares: 2 by 2 but missing the lower right square. Step 3 has 8 squares: 3 by 3 but missing the lower right square.

A:

B:

C:

D:

Problem 3

Each figure is composed of large squares and small squares. The side length of the large square is . Write an expression for the area of the shaded part of each figure.

Figure A

Large square with 1 by 1 small squares removed from each corner.

Figure B

2 large squares side by side. On the side of the right square, there are 2 small squares stacked vertically, each with dimensions 2 by 2.

Problem 4

Here are a few pairs of positive numbers whose difference is 5.

Find the product of each pair of numbers. Then, plot some points to show the relationship between the first number and the product.

first

number second

number product

1 6  

2 7  

3 8  

5 10  

7 12  

Blank coordinate plane. Horizontal axis, first number, 0 to 10. Vertical axis, product, 0 to 100 by 10s.

Is the relationship between the first number and the product exponential? Explain how you know.

(From Algebra1, Unit 6, Lesson 1.)

Problem 5

Here are some lengths and widths of a rectangle whose perimeter is 20 meters.

Complete the table. What do you notice about the areas?

length

(meters) width

(meters) area

(square meters)

1 9  

3 7  

5    

7    

9    

Without calculating, predict whether the area of the rectangle will be greater or less than 25 square meters if the length is 5.25 meters.

On the coordinate plane, plot the points for length and area from your table.

Do the values change in a linear way? Do they change in an exponential way?

A blank graph, origin O, with a grid.

Problem 6

Here is a pattern of dots.

Four figures, labeled step 0 through 3. Step 0, row with 1 dot. Step 1, row with 2 dots. Step 2, row with 2 dots above row with 3 dots. Step 3, 2 rows of 3 dots above row with 4 dots.

Complete the table.

How many dots will there be in Step 10?

How many dots will there be in Step ?

step total number

of dots

0  

1  

2  

3  (From Algebra1, Unit 6, Lesson 2.)

Problem 7

Mai has a jar of quarters and dimes. She takes at least 10 coins out of the jar and has less than $2.00.

Write a system of inequalities that represents the number of quarters, , and the number of dimes, , that Mai could have.

Is it possible that Mai has each of the following combinations of coins? If so, explain or show how you know. If not, state which constraint—the amount of money or the number of coins—it does not meet.

3 quarters and 12 dimes

4 quarters and 10 dimes

2 quarters and 5 dimes

(From Algebra1, Unit 2, Lesson 25.)

Problem 8

A stadium can seat 63,026 people. For each game, the amount of money that the organization brings in through ticket sales is a function of the number of people, , in attendance.

If each ticket costs $30.00, find the domain and range of this function.

6 0
3 years ago
The eagles won 24 games last year. This year the eagles won 20 games. What is the percent increase in the number of games to Eag
JulijaS [17]

Answer:

17%

Step-by-step explanation:


3 0
3 years ago
Find two consecutive numbers whose sum is 117
Serhud [2]
So,

x + y = 117
y = x + 1
x + x + 1 = 117

Collect Like Terms
2x + 1 = 117

Subtract 1 from both sides
2x = 116

Divide both sides by 2
x = 58

y = x + 1

y = 58 + 1

y = 59

The 2 consecutive integers are 58 and 59.
6 0
3 years ago
Read 2 more answers
A contractor is tiling your bathroom with one-foot square tiles. How many tiles are needed for the job? PLS HELPPP
Evgesh-ka [11]

Answer:

Depends on the bathroom

Step-by-step explanation:

Basically since I don't know the bathroom length and width, Ima just cut it down for you.

It is your bathroom area (length*width) divided by the area of the tiles, which is 1*1=1 foot^2(square)

Also it depends on the unit you used for the bathroom, you gotta transfer the unit for the bathroom length and width into feet.

So you should get number for bathroom area with the unit feet square.

4 0
2 years ago
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