If eric practiced the piano 8hrs a week, if he practices 1/4 of that how many hours is that?

Answers

Answer 1

Answer: divide 8 by 4 and you get 2 hours

Answer 2

Answer: Work:

It is fourths, so divide
8 ÷ 4
That gives you 2

Answer:

2 hours

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21. find the volume of the solid of revolution formed if the area enclosed between the curves y=x² and y=(x-2)² is rotated about the x-axis using integration

Answers

What you need to do is get hold of the area underneath the curve y=x² from x=1 to x=0. You then spin this area 360 degrees about the x-axis and double the result as there is symmetry between y=x² and y=(x-2)².

Use the formula:

$Volume=\int _( a )^( b ){ \pi { y }^( 2 ) } dx$

Ok, so let's solve the problem...

$V=2\int _( 0 )^( 1 ){ \pi { x }^( 4 ) } dx\n \n =2{ \left[ \frac { \pi { x }^( 4+1 ) }{ 4+1 } \right] }_( 0 )^( 1 )$

$\n \n =2{ \left[ \frac { \pi { x }^( 5 ) }{ 5 } \right] }_( 0 )^( 1 )\n \n =2\left\{ \left( \frac { \pi }{ 5 } \right) -\left( 0 \right) \right\} \n \n =\frac { 2 }{ 5 } \pi$

Answer:

$\frac { 2 }{ 5 } \pi$ units cubed.

Does anyone know what's the answer for this question ???

Answers

I'm not sure, but I am with u i say C

My son, Garrett, is 11 years old and has a piggy bank that he wants to fill. He started with 5 one dollar bills. Every Saturday he earns 3 more dollar bills for chores he’s completed. How many one dollar bills will he have by the end of 10 weeks?1. Write a function model, M(x), that represents the total number of one dollar bills garret will have in one dollar bills, x

2. Identify the independent and dependent quantity.

3. The domain and range are represented as discrete or continuous?

4.What is a reasonable domain and range for this scenario?

Thanks for the help!

Answers

Answer:

1) M(x) = 5 + 3x

2) Dependent variable; 3 dollar bills

Independent variable: chores

3) Range is continuous

Domain is discrete

4) Range: 0 ≤ x ≤ 10

Domain: 5 ≤ M ≤ 35

Step-by-step explanation:

We are told he started with 5 number of $1 dollar bills and that every Saturday, he earns 3 more $1 dollar bill.

Thus, total number of $1 bills earned after x number of Saturdays(weekly) is;

M(x) = 5 + 3x

After 10 weeks, total number is;

M(10) = 5 + 3(10)

M(10) = 35

The dependent variable is the 3 more dollar bills earned each Saturday because it depends on chores he completed. While the independent variable is the chores because it doesn't depend on anything.

After 10 weeks, the range and domain will be;

Range: 0 ≤ x ≤ 10

For the; Domain:

For x = 1, M(0) = 5 + 3(0) = 5

M(10) = 35

Thus;

Domain: 5 ≤ M ≤ 35

The range could be all numbers in the interval from 0 to 10. Thus, it is continuous.

Whereas, the domain doesn't contain all the numbers in the interval from 5 to 35. Thus it is Discrete.

Solve the system of equations

Answers

Answer:

Step-by-step explanation:

You can solve it by substitution, by setting the first equation to y=1-x.

Replace the y in the equation by y=1-x.

4x + 3(1-x) = 8.

Distribute the 3.

4x + 3-3x = 8

Combine like terms.

x + 3 = 8

x =5

Plug 5 into y=1-x.

y=1-5

y= -4

Ou have $32 to spend at the music store. each cassette tape costs $5 and each cd costs $9. write a linear inequality that represents this situation. let x represent the number of tapes and y the number of cds.

Answers

Let x = # of tapes

Let y = # of cds

Since the amount you spend cannot go over 32 dollars, the amount you buy must be less than or equal to 32 dollars.

$5x+9y\leq32$

14x=6y-12 put this in slope intercept form

Answers

Answer:

To put the equation 14x = 6y - 12 into slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, we need to isolate the y variable on one side of the equation.

Starting with 14x = 6y - 12, we can rearrange the equation as follows:

6y = 14x + 12

Dividing both sides of the equation by 6, we get:

y = (14/6)x + 2

Simplifying further, the equation can be written in slope-intercept form as:

y = (7/3)x + 2

So, the equation 14x = 6y - 12, in slope-intercept form, is y = (7/3)x + 2.

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