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Gemiola [76]
3 years ago
12

What is the 5th term in the sequence d(n)=5/16 (2)^n−1

Mathematics
1 answer:
Verizon [17]3 years ago
5 0

Answer:

Therefore the 5th term is 5.

Step-by-step explanation:

Given:

Sequence is

d(n)=\dfrac{5}{16}2^{n-1}

To Find:

5th term, d(5) = ?

Solution:

d(n)=\dfrac{5}{16}2^{n-1} ....Given

For 5th term put n = 5 then we get

d(5)=\dfrac{5}{16}2^{5-1}=\dfrac{5}{16}\times 2^{4}\\\\d(5)=\dfrac{5}{16}\times 16=5\\\\\therefore d(5)=5

Therefore the 5th term is 5.

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There are 36 students in Mrs. Keaton's sixth grade class.   If 5/12 of her students are girls, how many girls are in the class?
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4 years ago
A tiny but horrible alien is standing at the top of the Empire State Building (which is
Leto [7]

Answer:

87.7 degrees.

Step-by-step explanation:

In triangle ABC, attached.

The height of the building |AB|=443 meters

The distance of the agent across the street , |BC|=18 meters

We want to determine the angle at C.

Now,

Tan C=\dfrac{|AB|}{|BC|} \\C=arctan (\dfrac{|AB|}{|BC|} )\\=arctan (\dfrac{443}{18} )\\=87.67^\circ\\\approx 87.7^\circ $(correct to the nearest tenth)

The agent should sfoot his laser gun at an angle of 87.7 degrees.

7 0
4 years ago
Find the value of z.<br> X<br> 7<br> Y<br> 3 <br> Z <br><br> Z = √[?]
sweet-ann [11.9K]

Answer:

z = \sqrt{30}

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(leg of big Δ )² = (part of hypotenuse below it ) × (whole hypotenuse)

z² = 3 × (3 + 7) = 3 × 10 = 30 ( take square root of both sides )

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5 0
2 years ago
Please just help me fill in the blanks
Vesna [10]

Answer:

Complementary Angles: equal 90 degrees

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Step-by-step explanation:

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54+306=360

113+247=360

148+212=360

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Hope this helps

7 0
4 years ago
Read 2 more answers
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