admin

2 months ago

Guest #3671

2 months ago

Total flowers = 5 + 4 + 6 = 15

Pink roses = 4

P(two pink roses) = (4/15)(3/14) = 2/35

**Answer: 2/35**

Pink roses = 4

P(two pink roses) = (4/15)(3/14) = 2/35

Guest #3672

2 months ago

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

Â 4/15Â·3/14Â =Â 0.057 so it's b.) 0.057

Solution 2

5+4+6=15 2/15=.133333 or 13% or 2/15

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:

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

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)Â

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

Therefore,Â

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)Â Â **

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:

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

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)Â

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

Therefore,Â

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:

Solution 2

**Answer:**

**Step-by-step explanation:**

**Given :** Expression Â

**To write : **As a single logarithm?

**Solution :**

Â

**Remove parenthesis,**

Â

**Simplify each term by applying logarithmic property,**

Â

**Use the product property of logarithms,**

Â

**Use the quotient property of logarithms,**

Â

**Therefore, **

Question

Change 5/8 to a percentage.
A. 87.5%
B. 62.5%
C. 92.5%
D. 37.5%

Solution 1

5/8 = 5 Ã· 8 = .625

move decimal 2 places to right for %

.625 = 62.5%

move decimal 2 places to right for %

.625 = 62.5%

Question

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

Solution 1

To solve this problem you must keep on min the information given in the problem shown above:

Â 1- You have that

Â - The height reached by amal's rocket was 1/4 of the height reached by min's rocket.

Â - Amal's rocket REAched a height of 15 meters.

Â 2. Therefore, let's call "x" to theÂ height reached by min's rocket. Then, you have:

Â (1/4)x=15

Â x/4=15

Â Â Which equation could be used to find the height reached by min's rocket?

**Â The answer is:Â Â x/4=15**

Â

Â 1- You have that

Â - The height reached by amal's rocket was 1/4 of the height reached by min's rocket.

Â - Amal's rocket REAched a height of 15 meters.

Â 2. Therefore, let's call "x" to theÂ height reached by min's rocket. Then, you have:

Â (1/4)x=15

Â x/4=15

Â Â Which equation could be used to find the height reached by min's rocket?

Â

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 Marinaâ€™s solution should be...

Solution 1

For this case we have the following expression:

Â (-4a ^ -2 b ^ 4) / (8a ^ -6b ^ -3)

Â We can rewrite the expression using properties of exponents.

Â We have then:

Â (-4/8) * ((a ^ (- 2 - (- 6))) (b ^ (4 - (- 3))))

Â Rewriting we have:

Â (-2/4) * ((a ^ (- 2 + 6)) (b ^ (4 + 3)))

Â (-1/2) * ((a ^ 4) (b ^ 7))

Â -1 / 2a ^ 4b ^ 7

Â**Answer:**

Â**The exponent of the variable b in Marina's solution should be 7**

Â (-4a ^ -2 b ^ 4) / (8a ^ -6b ^ -3)

Â We can rewrite the expression using properties of exponents.

Â We have then:

Â (-4/8) * ((a ^ (- 2 - (- 6))) (b ^ (4 - (- 3))))

Â Rewriting we have:

Â (-2/4) * ((a ^ (- 2 + 6)) (b ^ (4 + 3)))

Â (-1/2) * ((a ^ 4) (b ^ 7))

Â -1 / 2a ^ 4b ^ 7

Â

Â

Solution 2

**Answer:**

7 is correct!

**Step-by-step explanation:**

hope that this helps. Peace and Love

Question

FÃ³rmula para sacar el Ã¡rea de un circulo

Solution 1

FÃ³rmula para sacar el Ã¡rea de un circulo:

Question

Which of the following pairs of numbers contain like fractions? A. 3
/2
and 2
/3
B. 6
/7
and 15
/7
C. 5
/6
and 10/12
D. 31
/2
and 43
/4

Solution 1

C. 5/6 and 10/12

If you simplify 10/12 but the greatest common factor of 10 and 12, which is 2, you get the answer of 5/6. Now if you multiple 5/6 by two, you get 10/12. Either way, both fractions are clearly equivalent.

If you simplify 10/12 but the greatest common factor of 10 and 12, which is 2, you get the answer of 5/6. Now if you multiple 5/6 by two, you get 10/12. Either way, both fractions are clearly equivalent.

Question

A teacher asked her students to divide a large number by 50. â€¢ Aslan divided the number by 50.
â€¢ Lucy divided the number by 5 and then divided the answer she got by 10.
â€¢ Jack divided the number by 10 and then divided the answer he got by 40.
Who among these got the correct answer assuming they did NOT make mistakes in division?

Solution 1

**Answer:**

c

**Step-by-step explanation:**

Question

WHAT IS THE DEFINITION OF INDEMNITY

Solution 1

Indemnity: Security or protection against a loss or other financial burden

Question

Find the sum of (3x^2+16x+9) and (-16x-12)

Solution 1

Remove the brackets:

Combine like terms:

Take out common factor 3:

Factorise (xÂ² - 1):

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