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3 years ago

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Which expression is equivalent to log3 c/9?

2 answers:

stepladder [879]3 years ago

5 0

Hello!

There is an existing logarithmic property that states that $log \frac{M}{N}$ is equal to $log M-logN$ .

Following that property, we can tell that $log \frac{c}{9}$ would be equal to $log(c)-log(9)$ .

ANSWER: $log(c)-log(9)$ (third option)

Viktor [21]3 years ago

3 0

Answer

㏒₃C - ㏒₃9

Explanation

㏒(A/B) = ㏒A - ㏒B
So, from the log given we will have

㏒₃(3/9) =㏒₃C - ㏒₃9

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3 years ago

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Calculate the value of (6.72 10^5)+ (3.2 x 10^4)<br> Give your answer in standard form.

dangina [55]

Answer:

$7.04\cdot 10^{5}$ <em>or 704,000</em>

Step-by-step explanation:

<u>Standard Form of Numbers</u>

Any number that we can write as a decimal number between 1.0 and 10.0, multiplied by a power of 10, is said to be in Scientific Notation. Some authors consider standard form and scientific form as the same, but others state that standard form is the common form of expressing numbers, i.e., a sequence of digits, separated by thousands by a comma, and separated from the decimal part by a dot.

We'll give here both answers.

We have to calculate:

$6.72\cdot 10^{5}+3.2\cdot 10^{4}$

Since the numbers don't have the same exponent, we must make them equal. Let's make the second number have an exponent of 5, by dividing by 10:

$6.72\cdot 10^{5}+3.2\cdot 10^{4}=6.72\cdot 10^{5}+3.2/10\cdot 10^{5}$

$6.72\cdot 10^{5}+3.2\cdot 10^{4}=6.72\cdot 10^{5}+0.32\cdot 10^{5}$

Now we add:

$6.72\cdot 10^{5}+3.2\cdot 10^{4}=7.04\cdot 10^{5}$

It's correctly expressed in scientific notation. Now to convert to 'standard form', multiply by $10^5=100,000$ :

$6.72\cdot 10^{5}+3.2\cdot 10^{4}=7.04*100,000=704,000$

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3 years ago

There are 10 students in class and the number of siblings in their families are given by {1,1,1,1,2,3,3,4,4,4}. Consider the exp

Svetllana [295]

Answer:

a. Check the attached image

b. The Pr(Y > 2) = ½

c. The mean is 2.4

d. The standard deviation is: 2.72

e. The exact value is 1 because it is certain from the given data that any probability will fall within that range.

Step-by-step explanation:

a. An image showing the step by step solution is attached.

b. P(Y > 2) = P(3) + P(4)

= 2/10 + 3/10 = 5/10 = ½

c. The mean is 2.4

d. The standard deviation is: 2.72

e. Check the attached image for the steps.

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3 years ago

What is the answer to this math question -5+1 2/3

lakkis [162]

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3 years ago

What are the coordinates of the imageof point A (2, -7) under the transalition (x,y) (x- 3, y 5)

jenyasd209 [6]

Answer:

The coordinates of the image of point A (2, -7) are A'(-1,-2).

Step-by-step explanation:

Note: The sign is missing between y and 5 in the rule of transitional.

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We need to find the image of point A (2, -7).

Substitute x=2 and y=-7 in the above rule.

$A(2,-7)\Rightarrow A'(2-3,-7+5)$

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Therefore, the coordinates of the image of point A (2, -7) are A'(-1,-2).

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3 years ago