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Oduvanchick [21]
2 years ago
9

Evaluate the geometric series below. Please show your work.

Mathematics
1 answer:
lesya692 [45]2 years ago
4 0

Answer:

-1310715

Step-by-step explanation:

By the formula of a geometric sequence, we work out:

\sum_{k=1}^{18} -5 \cdot 2^{k-1}\\= -5 \cdot \sum_{k=0}^{17} 2^{k}\\= -5 \cdot \frac{2^{18}-1}{2-1}\\= -1310715

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Using the sine rule, calculate the length y. Give your answer to 2 s.f.​
Tpy6a [65]

Answer:

y = 9.84 mm

Step-by-step explanation:

<h2>Sine rule:</h2>

Law of sine:

   \sf \boxed{\bf \dfrac{a}{Sin \ A}=\dfrac{b}{Sin \ B}= \dfrac{c}{Sin \ C}}

    a = y

    A = 31°

   b  = 17 mm

    B = 117°

\sf \dfrac{y}{Sin \ 31^\circ}=\dfrac{17}{Sin \ 117^\circ}\\\\

          \sf y = \dfrac{17}{Sin \ 117^\circ}*Sin \ 31^\circ\\\\  y = \dfrac{17}{0.89}*0.515\\\\y = 9.84 \ mm

8 0
2 years ago
A length of rope is stretch between the top edge of the building at stake in the ground the head of the state is at ground level
amid [387]

Because the tree is the halfway point, the building would be twice as tall:

The building is 38 x 2 = 76 feet tall.

3 0
3 years ago
Read 2 more answers
william won 50 tickets at the arcade. he redeemed 30 tickets for a prize and gave 5 tickets to ketelyn. which expression can wil
mariarad [96]
Hello!

If William originally won 50 tickets, redeemed 30, and gave 5 to his friend, the expression that represents how many tickets he has left is:

50-30-5

If you are looking for how many tickets William has left, you simply need to solve the expression:
50-30-5 = 15

I hope this helps you! Have a great day!
5 0
2 years ago
A baby weighed 7.25 lb at birth. At the end of 8 months, the baby weighed 2.5 times its birth weight. How many pounds did the ba
Vesnalui [34]

Answer: 18.125 lbs

Explanation: The baby weighed 18.125 pounds at the end of eight months.

The baby weighed 7.25 lbs at birth. Eight months later, he weighed 2.5 or 2½ times its birth weight. Multiply 7.25 by 2.5  (which equals 18.125).

So now eight months later, he's 18.125 pounds.

4 0
3 years ago
Read 2 more answers
-6-5[-4-(6+12)]+(-5)
Luden [163]

Answer:

99

Step-by-step explanation:

-6-5[-4-(6+12)]+(-5)

Following PEMDAS

We work the parentheses from the inside out

-6-5[-4-(18)]+(-5)

-6-5[-22]+(-5)

Now we multiply

-6+110 -5

Now we add and subtract from left to right

104 -5

99

6 0
3 years ago
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