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3 years ago

What is the common difference for the arithmetic sequence? -6, -1, 4, 9, 14

Mathematics

1 answer:

denpristay [2]3 years ago

4 0

Answer:

Step-by-step explanation:

The common difference of any arithmetic sequence is the difference between two consecutive terms in the sequence.

In the provided sequence

-1-(-6)=5

4-(-1)=5

9-4=5

14-9=5

Therefore the common difference, d=5

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Coordinate plane with triangle EFG with E at 0 comma 5, F at 1 comma 1, and G at negative 2 comma 1. Point H at 1 comma 1 is on

Oksana_A [137]

Answer:

Triangle EFG is dilated by a scale factor of 2 centered at (0, 2) to create triangle E'F'G'. Which statement is true about the dilation?

segment EG ≅ segment E prime G prime.

The slope of segment EF is the same as the slope of segment E prime H prime.

segment H prime F prime will overlap segment HF.

segment EH and segment E prime H prime both pass through the center of dilation.

Step-by-step explanation:

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3 years ago

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(Anderson, 1.14) Assume that P(A) = 0.4 and P(B) = 0.7. Making no further assumptions on A and B, show that P(A ∩ B) satisfies 0

Goshia [24]

Answer with Step-by-step explanation:

We are given that

P(A)=0.4 and P(B)=0.7

We know that

$P(A)+P(B)+P(A\cap B)=P(A\cup B)$

We know that

Maximum value of $P(A\cup B)$ =1 and minimum value of $P(A\cup B)$ =0

$0\leq P(A\cup B )\leq 1$

$0\leq P(A)+P(B)-P(A\cap B)\leq 1$

$0\leq 0.4+0.7-P(A\cap B)\leq 1$

$0\leq 1.1-P(A\cap B)\leq 1$

$0\leq 1.1-P(A\cap B)$

$P(A\cap B)\leq 1.1$

It is not possible that $P(A\cap B)$ is equal to 1.1

$1.1-P(A\cap B)\leq 1$

$-P(A\cap B)\leq 1-1.1=-0.1$

Multiply by (-1) on both sides

$P(A\cap B)\geq 0.1$

Again, $P(A\cup B)\geq P(B)$

$0.4+0.7-P(A\cap B)\geq 0.7$

$1.1-P(A\cap B)\geq 0.7$

$-P(A\cap B)\geq -1.1+0.7=-0.4$

Multiply by (-1) on both sides

$P(A\cap B)\leq 0.4$

Hence, $0.1\leq P(A\cap B)\leq 0.4$

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3 years ago

James wants to go to the Texans football game. A ticket costs $79.50 plus tax. The tax rate is 6%. What is the total purchase pr

JulsSmile [24]

79.50 x .06 = 4.77

79.50 + 4.77 = $84.27

The total cost was $84.27

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3 years ago

What is the answer for 7/10-1/2 in simplest form

Musya8 [376]

Problem: 7/10 - 1/2
1/2 = x/10 Find the common denominator
1/2 = 5/10
Subtract the numerators
7-5
Answer: 2/10
Simplest form: 1/5

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3 years ago

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Please simplify the equation

ss7ja [257]

Simplify
= 6/(gf^4)

hope that helps

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3 years ago

What is the common difference for the arithmetic sequence? -6, -1, 4, 9, 14​

What is the common difference for the arithmetic sequence? -6, -1, 4, 9, 14