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Nady [450]
4 years ago
8

What is the common difference is this sequence: 5,17,29,41,53?

Mathematics
1 answer:
Zina [86]4 years ago
5 0

Answer:

12

Step-by-step explanation:

To find the common difference, we take the 2nd term and subtract the first term

17-5 =12

We check it with the 3rd term minus the second term

29-17 = 12

The common difference is 12

We add 12 each time

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Condense the log equation: 4 log x + log y - 5 log z
Setler [38]

Answer:

The condensed log equation is: \log{\frac{x^4y}{z^5}}

Step-by-step explanation:

We use these following logarithm properties to solve this question:

a\log{x} = \log{x^a}

\log{a} + \log{b} = \log{ab}

\log{a} - \log{b} = \log{\frac{a}{b}}

In this question:

4\log{x} = \log{x^4}

5\log{5} = \log{z^5}

So

4\log{x} + \log{y} - 5\log{z}

Becomes:

\log{x^4} + \log{y} - \log{z^5}

Now applying the addition and subtraction properties, we have:

\log{\frac{x^4y}{z^5}}

The condensed log equation is: \log{\frac{x^4y}{z^5}}

7 0
3 years ago
The flagpole casts an 8-foot shadow, as shown in the table. How tall is the goal post. The flagpole is 20ft tall
matrenka [14]
What time is it? I need to know the time to understand and answer the question.


6 0
4 years ago
What is the vertex form of the equation?
GuDViN [60]
We need to write the equation in its vertex form so we have to know the general equation for the vertex form. It is written as:

y = (x - h)^2 + k

where h and k represents the point of the vertex.

We go as follows:

y = (x^2 + 4x) – 3 
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y = (x + 2)^2 - 7

Therefore, the correct answer from the choices is option B.
7 0
3 years ago
Read 2 more answers
Peter's Party Zone sells cups in packages of 6 and plates in packages of 8 . Shaniya is hosting a birthday party for her little
kirill [66]

Answer:

6

Step-by-step explanation:

find a common factor

6*8=48

8*6=48

8 0
3 years ago
Brett shaded 4/8 if a sheet of notebook paper. Aisha says he shaded 1/2
Tcecarenko [31]
Aisha is correct, they both are technically the same but once you reduce 4/8 it will become 1/2
6 0
3 years ago
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