A lawn roller is 1 m wide and 80 cm high. What area is covered in each

A lawn roller is 1 m wide and 80 cm high. What area is covered in each revolution

2 months ago

Solution 1

Guest Guest #3727
2 months ago
The area for each revolution is given by:
 A = 2 * pi * r * l
 Where,
 r: roller radius
 l: roller width
 We have then:
 A = 2 * 3.14 * (0.80 / 2) * 1
 A = 2.512 m ^ 2
 Answer:
 
The area that is covered in each revolution is:
 
A = 2.512 m ^ 2

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The graph of y = f(x − 3) is a _____ of the graph of y = f(x).
Solution 1

Answer:

shift

Step-by-step explanation:

These are common types of transformations of functions. Many functions have graphs that are simple transformations of the parent graphs, that are the most basic functions. In this way, we can use vertical and horizontal shifts to sketch graphs of functions. These are rigid transformations because the basic shape of the graph is unchanged. Therefore y=f(x-3) is a Horizontal Shift, so the graph of the function y=f(x) has been shifted 3 units to the right.

Solution 2

Answer: shifted 3 units to the right.

Step-by-step explanation:

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Divide 969 by 26. A. 32 r 6 b. 29 r 17 C. 37 r 7 D. 28 r 5
Solution 1

On dividing 969 by 26 will get quotient = 37 and remainder = 7

What is division?

Division is the process of splitting a number or an amount into equal parts, division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers, it is used for splitting into equal parts or groups, It is breaking a number up into an equal number of parts.

Given that, we are asked to divide 969 by 26.

969 / 26

Since, 26 is a two digits number, we will first take the first two digits of the number given,

The number which we can multiply with 26 to get the closest number from 96 is 3, 26 × 3 = 78

96-78 = 18

Now,

18 + the remaining number 9, will make a number = 189

189 / 26

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Since, first we get 3 and now 7

Therefore, the quotient will be 37 and the remainder is 7

Hence, on dividing 969 by 26 will get quotient = 37 and remainder = 7

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Solution 2

Answer:

The Answer is =37 r 7

Step-by-step explanation:

969 / 26

26 * 37 = 962

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969 / 26 = 37 R 7.

Question
A flower vase has 5 white lilies, 4 pink roses, and 6 yellow carnations. One flower is chosen at random and given to a woman. Another flower is then chosen at random and given to a different woman. What is the probability that both flowers are pink roses?
Solution 1
Total flowers = 5 + 4 + 6 = 15
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P(two pink roses) = (4/15)(3/14) = 2/35

Answer: 2/35
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2/35, you can just multiply 4/15 x 3/14

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A flower vase has 5 white lilies, 4 pink roses, and 6 yellow carnations. One flower is chosen at random and given to a woman. Another flower is then chosen at random and given to a different woman. What is the probability that both flowers are pink roses?
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Question
What is 4log1/2^w(2log1/2^u-3log1/2^v written as a single logarithm?
Solution 1
Given:

4log1/2^w (2log1/2^u-3log1/2^v)

Req'd:

Single logarithm = ?

Sol'n:

First remove the parenthesis,

4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)

Simplify each term,

Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:

 log 1/2 (w^4)  + 2 log 1/2 (u) - 3 log 1/2 (v) 
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)

We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):

Thus,

Log of 1/2 (w^4 u^2) - log of 1/2 (v^3) 

then use the quotient property of logarithms which is log of b (x)  - log of b (y) = log of b (x/y)

Therefore, 

log of 1/2 (w^4 u^2 / v^3)

and for the final step and answer, reorder or rearrange w^4 and u^2:

log of 1/2 (u^2 w^4 / v^3)  
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Answer:

4\log_{\frac{1}{2}}w+(2\log_{\frac{1}{2}}u-3\log_{\frac{1}{2}}v)=\log_{\frac{1}{2}}(\frac{w^4u^2}{v^3})

Step-by-step explanation:

Given : Expression  4\log_{\frac{1}{2}}w+(2\log_{\frac{1}{2}}u-3\log_{\frac{1}{2}}v)

To write : As a single logarithm?

Solution :

4\log_{\frac{1}{2}}w+(2\log_{\frac{1}{2}}u-3\log_{\frac{1}{2}}v)  

Remove parenthesis,

=4\log_{\frac{1}{2}}w+2\log_{\frac{1}{2}}u-3\log_{\frac{1}{2}}v  

Simplify each term by applying logarithmic property, a\log x=\log x^a

=\log_{\frac{1}{2}}w^4+\log_{\frac{1}{2}}u^2-\log_{\frac{1}{2}}v^3  

Use the product property of logarithms, \log_bx+\log_b y=\log_b (xy)

=\log_{\frac{1}{2}}w^4u^2-\log_{\frac{1}{2}}v^3  

Use the quotient property of logarithms, \log_bx-\log_b y=\log_b (\frac{x}{y})

=\log_{\frac{1}{2}}(\frac{w^4u^2}{v^3})  

Therefore,

4\log_{\frac{1}{2}}w+(2\log_{\frac{1}{2}}u-3\log_{\frac{1}{2}}v)=\log_{\frac{1}{2}}(\frac{w^4u^2}{v^3})

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The height reached by amal's rocket was 1/4 of the height reached by min's rocket. Amal's rocket REAched a height of 15 meters. Which equation could be used to find the height reached by min's rocket
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Question
Marina correctly simplified the expression (-4a^-2 b^4)/(8a^-6b^-3) assuming that a does not equal 0 and b does not equal 0. Her simplified expression is below. -1/2a^4b^ The exponent of the variable b in Marina’s solution should be...
Solution 1
For this case we have the following expression:
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Solution 2

Answer:

7 is correct!

Step-by-step explanation:

hope that this helps. Peace and Love

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