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NeX [460]
3 years ago
5

Identify the property that justifies each step asked about in the answer area below.

Mathematics
1 answer:
Tema [17]3 years ago
3 0

Answer:

Line 1 to Line 2: Distributive Property

Line 2 to Line 3: Commutative Property of Multiplication

Line 3 to Line 4: Associative Property of Multiplication

Step-by-step explanation:

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Find the sum of the first 12 terms of the sequence. 1, -4, -9, -14, . . . (2 points)
egoroff_w [7]

Answer:

sum of the first 12 terms of the sequence. 1, -4, -9, -14, . . = -318

Step-by-step explanation:

The given AP is,

1, -4, -9, -14, . . .

first term a = 1,

common difference d = -4 - 1 = -5

number of terms  n = 12

<u>Equation:</u>

Sum of n terms of AP, S₁₂ = n/2[2a + (n - 1)d]

S₁₂ = 12/2[(2*1) + (12 - 1)*(-5)]

S₁₂ = 6[2 + (11*(-5))]

S₁₂ = 6[2 - 55] = 6*(-53) = -318

Therefore sum of the first 12 terms of the sequence. 1, -4, -9, -14, . . = -318

8 0
3 years ago
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Which subtraction expression has the difference 1 + 4
Tomtit [17]
4-1 would <span>have the difference of 1 + 4</span>
8 0
3 years ago
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A bug starts at the origin of the coordinate plane. The bug moves 1/4 units right and 1/4 units down to point A. Which graph sho
Vsevolod [243]

Answer:

<h2>The Answer would be (0.25, -0.25)</h2>

Step-by-step explanation:

Since you started at the origin of the plane, it would be obvious that your place would be 0.25 on the x-axis. The template for this would be (x,y) x- right and left. y- up and down. On the y-axis, the bug moved 0.25 DOWN to point A. That would be a negative since on the y-axis, it counts up to positives and down to negative. Similar to the x-axis, it counts right to positives, left to negatives. Hope this helped!

3 0
3 years ago
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A machine for baking hay produces cylindrical bales that are 6 feet in diameter and 5 1/3 feet in height. Which is closest to th
GaryK [48]
We know that
diameter=6 ft----------> r=6/2------> r=3 ft
h=5 1/3 ft------> (5*3+1)/3-----> 16/3 ft
[volume of a cylindrical bales]=pi*r²*h----> pi*3²*16/3---> 150.72 cm³

the answer is the option
<span>B 151 cm</span>³
5 0
3 years ago
Help me please please
telo118 [61]

Answer:

see below

Step-by-step explanation:

Standard equation for a circle with center h,k and radius r

(x-h)^2 + (y-k)^2 = r^2

so for this one   center =  (1,2)   radius = 4

6 0
2 years ago
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