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pshichka [43]
3 years ago
13

Find the solution of 5b-13=22 if the replacement set is {5,6,7,8,9}.

Mathematics
1 answer:
geniusboy [140]3 years ago
8 0
The solution to 5b-13=22 is 7
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Evaluate 2 sin square 30 degree tan 60 degree - 3 cos square 60 degree sec square 30 degree
WARRIOR [948]

Answer:

  (√3)/2 -1 ≈ -0.133974596

Step-by-step explanation:

2sin²(30°)tan(60°) -3cos²(60°)sec²(30°)

= 2(1/2)²(√3) -3(1/2)²(2/√3)²

= 2(1/4)√3 -3(1/4)(4/3)

= (√3)/2 -1 ≈ -0.133974596

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Step-by-step explanation:

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- 5/2 divided by 5)7​
Anastasy [175]

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-7/2

Step-by-step explanation:

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Find the value of k so that the
BaLLatris [955]

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gradient =  - 3 \\  - 3 =  \frac{(8 + 1)}{( - 2 - k)}  \\  3(2 + k) = 9 \\ 2 + k = 3 \\ k = 1

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3 years ago
Consider the sequence of numbers: 3/8, 3/4, 1 /18, 1 1/2, 1 7/8
vredina [299]

Question:

Consider the sequence of numbers: \frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}

Which statement is a description of the sequence?

(A) The sequence is recursive, where each term is 1/4 greater than its preceding term.

(B) The sequence is recursive and can be represented by the function

f(n + 1) = f(n) + 3/8 .

(C) The sequence is arithmetic, where each pair of terms has a constant difference of 3/4 .

(D) The sequence is arithmetic and can be represented by the function

f(n + 1) = f(n)3/8.

Answer:

Option B:

The sequence is recursive and can be represented by the function

f(n + 1) = f(n) + \frac{3}{8}  .

Explanation:

A sequence of numbers are

\frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}

Let us first change mixed fraction into improper fraction.

\frac{3}{8}, \frac{3}{4}, \frac{9}{8}, \frac{3}{2}, \frac{15}{8}

To find the pattern of the sequence.

To find the common difference between the sequence of numbers.

\frac{3}{4}-\frac{3}{8}=\frac{6}{8}-\frac{3}{8}= \frac{3}{8}

\frac{9}{8}-\frac{3}{4}=\frac{9}{8}-\frac{6}{8}= \frac{3}{8}

\frac{3}{2}-\frac{9}{8}=\frac{12}{8}-\frac{9}{8}= \frac{3}{8}

\frac{15}{8}-\frac{3}{2}=\frac{15}{8}-\frac{12}{8}= \frac{3}{8}

Therefore, the common difference of the sequence is 3.

That means each term is obtained by adding \frac{3}{8} to the previous term.

Hence, the sequence is recursive and can be represented by the function f(n + 1) = f(n) + \frac{3}{8}  .

3 0
3 years ago
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