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ra1l [238]
3 years ago
8

ND

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

Step-by-step explanation:

As you have done till

3p + 8 = 20

3p = 20 - 8

3p = 12

p = 12 / 3 = 4

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What is the fourth term of the sequence? <br> a1 = m<br> an = 2an-1<br><br> 2m<br> 4m<br> 6m<br> 8m
harkovskaia [24]

Answer:

8m.

Step-by-step explanation:

an = 2 an-1 means that each term in the sequence( except the first) is obtained by multiplying the last term by 2, so the first 4 terms are m, 2m, 4m, 8m.

3 0
3 years ago
Read 2 more answers
To input your angle measures in degrees, use the functions sind, cosd and tand, instead of sin, cos and tan. Zach stands at the
kramer

Answer:

  about 2949 feet

Step-by-step explanation:

The geometry of the situation can be modeled by a right triangle. The height of the cliff can be taken to be the side opposite the given angle, and the distance to the coyote will be the side adjacent to the given angle. The relation between these values is the trig function ...

  Tan = Opposite/Adjacent

__

<h3>setup</h3>

Filling in the known values, we have ...

  tan(6°) = (310 ft)/(distance to coyote)

<h3>solution</h3>

Multiplying by (distance to coyote)/tan(6°) gives ...

  distance to coyote = (310 ft)/tan(6°) ≈ 310/0.105104 ft

  distance to coyote ≈ 2949.453 ft

The coyote is about 2949 feet from the base of the cliff.

6 0
2 years ago
Select all the pairs of equivalent expressions.
iren2701 [21]

Answer:

\huge\boxed{(3^4)^4=3^8\cdot3^8}\\\boxed{4^3\cdot5^3=20^3}\\\boxed{(4^3)^3=4^3\cdot4^3\cdo4^3}

Step-by-step explanation:

a^n\cdot a^n=a^{n+m}\\\\(a^n)^m=a^{n\cdot m}\\\\(a\cdot b)^n=a^n\cdot b^n\\=====================

(4^3)^3=4^{3\cdot3}=4^9\\4^3\cdot4^3=4^{3+3}=4^6\\\\4^9\neq4^6\to(4^3)^3\neq4^3\cdot4^3\\==================

(3^4)^4=3^{4\cdot4}=3^{16}\\3^8\cdot3^8=3^{8+8}=3^{16}\\\\(3^4)^4=3^8\cdot3^8\\================

6^4\cdot3^4=(6\cdot3)^4=18^4\\\\18^4\neq18^8\to6^4\cdot3^4\neq18^8\\=================

4^3\cdot5^3=(4\cdot5)^3=20^3\\\\4^3\cdot5^3=20^3\\=================

(4^3)^3=4^{3\cdot3}=4^9\\4^3\cdot4^3\cdot4^3=4^{3+3+3}=4^9\\\\(4^3)^3=4^3\cdot4^3\cdot4^3

3 0
3 years ago
Solve x2 + 6x + 7 = 0.
docker41 [41]

Answer:

x= -7/8

Step-by-step explanation:

8x + 7 = 0

8x + 7-7 = 0-7

8x=-7

8x/8x = -7/8

3 0
3 years ago
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Solve for s.<br> S+ 24 = 90
Verdich [7]

Answer:

66 = s

Step-by-step explanation:

s + 24 = 90

90 = s + 24

90 - 24 = s

66 = s

7 0
3 years ago
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