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True [87]
2 years ago
11

Show how to write 3/4 with the denominator 12

Mathematics
1 answer:
makvit [3.9K]2 years ago
3 0
3/4*3/3=9/12

Hope this helps
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Answer:

The expression that represents the given sequence is 5+6(n-1). Option C (not labeled).

Explanation:

<u>Arithmetic Sequences</u>

In an arithmetic sequence, each term can be obtained by adding or subtracting a fixed number to the previous term. That fixed number is called the common difference.

We are given the following sequence:

5, 11, 17, 23, 29, ...

Each term is located in a position starting from n=1. Let's test each option:

A For n=1 we should have the first term (5). Substituting n=1 into the general equation: 5+6(n+1) = 5+6(1+1) = 5+12 = 17. Since the resulting term is not 5, this option is incorrect.

B For n=1, 6+5(n+1)= 6+5(2)=16. This option is incorrect.

C (not labeled) For n=1, 5+6(n-1)=5+6(1-1)=5+0=5. The first term is correct. Let's test for the second term (n=2):

5+6(2-1)=5+6=11. Correct. For n=3

5+6(3-1)=5+12=17. Correct.

We can see the terms are increasing by 6, and the given sequence is also increasing by 6. Thus, This option is correct.

D For n=1, 6+5 (n-1)=6+0=6. This option is incorrect.

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Lilly’s dog eats 8 ounces of dog food each day . Lily bought a 28 pound bag of dog food . How many 8 ounces servings are in 28 p
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If we know the values of the sine and cosine of x and y, we can find the value of cos(x - y) by using the ____ Formula for Cosin
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Answer:

\cos(x - y) = \cos(x)\cos(y) + \sin(x)\sin(y)

Step-by-step explanation:

Given

\cos(x - y)

Required

State the formula

From trigonometry identity, the formula of \cos(x - y) is:

\cos(x - y) = \cos(x)\cos(y) + \sin(x)\sin(y)

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