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3 years ago

Determine whether the sequence 7, 21, 35, 49 is geometric. If so, find its common

Mathematics

2 answers:

Masja [62]3 years ago

5 0

Answer:

Step-by-step explanation:

Firlakuza [10]3 years ago

4 0

Answer:

a. no

Step-by-step explanation:

The sequence is arithmetic. It has a common difference of 14.

7 + 14 = 21

21 + 14 = 35

35 + 14 = 49

A geometric series has a common ratio (multiplication). For example:

7 × 3 = 21

21 × 3 = 63

63 × 3 = 189

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$160/5 or $315/9 which is the better deal

professor190 [17]

Answer:

$160/5

Step-by-step explanation:

160/5 would be 32 and 315/9 would be 35. 32 is less than 35 so $160/5 would be the better deal.

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3 years ago

Read 2 more answers

Solve the inequality 171>-6x and graph the solution what does the graph look like

krok68 [10]

To solve the inequality, you need to isolate/get x by itself:

171 > -6x Divide -6 on both sides [dividing/multiplying a negative number on

-28.5 < x [dividing/multiplying a negative number in an inequality causes the sign (<, >, ≤, ≥) to flip]

-28.5 < x [x is a number greater than -28.5]

So your graph should have an open circle at -28.5 (the first small line next to -28), and the arrow pointing to the right since x is greater than -28.5 (increasing) The 1st option is your answer

[use the o---> and put it at -28.5]

7 0

3 years ago

If sinA+cosecA=3 find the value of sin2A+cosec2A

Irina18 [472]

Answer:

$\sin 2A + \csc 2A = 2.122$

Step-by-step explanation:

Let $f(A) = \sin A + \csc A$ , we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:

$\csc A = \frac{1}{\sin A}$ (1)

$\sin^{2}A +\cos^{2}A = 1$ (2)

Now we perform the operations: $f(A) = 3$

$\sin A + \csc A = 3$

$\sin A + \frac{1}{\sin A} = 3$

$\sin ^{2}A + 1 = 3\cdot \sin A$

$\sin^{2}A -3\cdot \sin A +1 = 0$ (3)

By the quadratic formula, we find the following solutions:

$\sin A_{1} \approx 2.618$ and $\sin A_{2} \approx 0.382$

Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:

$\sin A \approx 0.382$

By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:

$A \approx 22.457^{\circ}$

Then, the values of the cosine associated with that angle is:

$\cos A \approx 0.924$

Now, we have that $f(A) = \sin 2A +\csc2A$ , we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used: