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2 years ago

11

Eleanor has 6 shirts, 4 pairs of shorts and 2 pairs of shoes. How many different outfits can she make consisting of one shirt, o

ne pair of shorts and one pair of shoes?

1 answer:

Ivan2 years ago

5 0

Answer:

48

Step-by-step explanation:

You might be interested in

Use the power property to rewrite log3x9.

posledela

For properties of logarithm we have the following:
loga (x ^ b) = b * loga (x)
Therefore, following this property we have for this case:
log3 (x ^ 9) = 9log3 (x)
Answer:
the power property to rewrite log3x9 is:
B) 9log3x

4 0

3 years ago

Read 2 more answers

Which table represents the graph of a logarithmic function in the form y=log3x when b>1?

alex41 [277]

Answer:

<u><em>The satisfied table of the given function</em></u> $y = log_{b} (x)$ <u><em></em></u>

<em>x 1/8 1/4 1/2 1 2</em>

<em>y -3 -2 -1 0 1</em>

<em></em>

Step-by-step explanation:

<u><em>Explanation</em></u> :-

Given logarithmic function $y = log_{b} (x)$ if b >1

Given first table

i)

put x = $\frac{1}{8}$ given b > 1 so we can choose b = 2

$y = log_{2} (\frac{1}{8} )$

$y = log_{2} (2^{-3} )$

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-3} ) = -3 log_{2} (2) = -3 (1) = -3$

<em>y = -3</em>

<em>ii)</em>

<em>put x = </em> $\frac{1}{4}$ <em> given b > 1 so we can choose b = 2</em>

<em></em> $y = log_{2} (\frac{1}{4} )$ <em></em>

<em></em> $y = log_{2} (2^{-2} )$ <em></em>

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-2} ) = -2 log_{2} (2) = -2 (1) = -2$

<em>y = -2</em>

<em>iii) </em>

<em>put x = </em> $\frac{1}{2}$ <em> given b > 1 so we can choose b = 2</em>

<em></em> $y = log_{2} (\frac{1}{2} )$ <em></em>

$y = log_{2} (2^{-1} )$

<em>we will apply logarithmic formula </em>

<em>log x ⁿ = n log (x)</em>

$y = log_{2} (2^{-1} ) = -1 log_{2} (2) = - (1) = -1$

<em>y = -1</em>

<em>iv) </em>

<em>put x = 1 given b > 1 so we can choose b = 2</em>

<em></em> $y = log_{2} (1 )$ <em> = 0</em>

<em>y = 0</em>

<em>v) </em>

<em>put x = </em> $2$ <em> given b > 1 so we can choose b = 2</em>

$y = log_{2} (2 )$

<em>y = 1</em>

<em></em>

<u><em>Final answer:-</em></u>

<u><em>The satisfied table of the given function</em></u>

<em>x 1/8 1/4 1/2 1 2</em>

<em>y -3 -2 -1 0 1</em>

<em></em>

8 0

3 years ago

Read 2 more answers

Substitution method...need help.. started but cant finish

trapecia [35]

Solve either equation for either variable. Since the second one has y on its own, the easiest choice is to solve that for y.

-5x + y = 13 ⇒ y = 5x + 13

Now substitute this into the other equation to eliminate y and rewrite it entirely in terms of x :

-3x + 3y = 3 ⇒ -3x + 3 (5x + 13) = 3

Simplify and solve for x :

-3x + 15x + 39 = 3

12x = -36

x = -3

Substitute this into either original equation to solve for y. Plugging x = -3 into the first equation would give

-3 (-3) + 3y = 3

9 + 3y = 3

3y = -6

y = -2

So the solution to the system of equations is (x, y) = (-3, -2).

8 0

2 years ago

Nia made some warm salt water help her her sore throat. She mixed 1 teaspoon salt with 3 cups water. Nia’s mom wanted to make mo

vaieri [72.5K]

Answer:

5/3 teaspoons (if you don't want an improper fraction, it's 1 2/3 teaspoons)

Step-by-step explanation:

If she uses 1 tsp for 3 cups, then the amount needed for one cup is 1/3 tsp.

Since the mother is using 5 cups, just multiply 1/3 by 5, which equals 5/3.

8 0

3 years ago

Which quantity is proportional to 45/3

Eduardwww [97]

Answer:

15/1, 90/6

Step-by-step explanation:

45/3 = 15

Anything not equal to 15 is not a solution

90/10 = 9

90/6 = 15

15/1 = 15

135/6 = 22.5

30/1 = 30

7 0

3 years ago