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raketka [301]
2 years ago
14

5. (5 points) Write the first 5 terms of the sequence if a1 = 9 and an-1 +n

Mathematics
1 answer:
Ivanshal [37]2 years ago
6 0

Answer:

9,4,-1,-6,-11

Step-by-step explanation:

When n = 1: a(1+1) =a(1) +1

                   a(2) = -9 +1

                   a(2) = -8

When n = 2: a(2+1) =a(2) + 2

                   a(3) = -8 + 2

                    a(3) = -6

When n = 3: a(3+1) = -6 + 3

a(4) = -3

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Answer:

19.4 feet

Step-by-step explanation:

When calculating distances using perpendicular angles, we use trig functions such as Sin, Cos, and Tan.

  • Sine is defined in a perpendicular triangle as the ratio of the opposite side to the angle over the hypotenuse.
  • Cosine is defined in a perpendicular triangle as the ratio of the adjacent side to the angle over the hypotenuse.
  • Tangent is defined in a perpendicular triangle as the ratio of the opposite side over the adjacent side.

Because our angle and know side value are across from each other and we need to know the hypotenuse, we chose to use Sine.

We set up the equation sin (68) = \frac{18}{h}.

We isolate h by multiplying h across the equal sign and dividing sin (68) across as well. sin (68) = \frac{18}{h}\\hsin (68) = \frac{18}{h}*h\\hsin (68) = 18\\\frac{hsin (68)}{sin (68)} =\frac{18}{sin (68)} \\

And finally we have h=\frac{18}{sin (68)}. We input to calculator.

h=\frac{18}{0.92718} \\h=19.4 feet

See the attached picture below showing the shore with the boat out at sea and the position of the person.


8 0
3 years ago
Brianna has 4 pink bracelets. One third of all her bracelets are pink . How many bracelets does Brianna have ?
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Answer:

Total number of bracelets  Brianna have are 12 .

Step-by-step explanation:

Let us assume that the total numbers of the bracelets be x .

As given

Brianna has 4 pink bracelets.

One third of all her bracelets are pink .

Than the equation becomes

\frac{1\times x}{3} = 4

Simplify the above

x = 4 × 3

x = 12

Therefore the total number of bracelets  Brianna have are 12 .


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8 months

Step-by-step explanation:

Subtract $150 from $430 to get $280, the amount if money that Manuel has to earn to reach his goal.

If he is adding $35 to his account each month, then all you have to do is divide the amount you need by the amount you are earning each month to get the number of months until you reach your goal.

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