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m_a_m_a [10]
3 years ago
11

Write the explicit formula for the geometric sequence. a1 = -5 a2 = 20 a3 = -80

Mathematics
1 answer:
liq [111]3 years ago
6 0
An = a1 * r^(n-1)
a1 = first term = -5
r = common ratio = -4

so ur formula is : an = -5 * -4^(n-1) <==
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The difference of two numbers is 16 the greater number is five less than four times a small number find the two numbers
Elis [28]

Answer:

The numbers are 23 and 7  

Step-by-step explanation:

1. Set up the equations

   Let x = the greater number

  and y = the smaller number. Then

(1) x - y = 16

       4y = 4 times the smaller number and

  4y - 5 = 5 less than 4 times the smaller number. Then

(2)     x = 4y - 5

You have a system of two equations:

\begin{cases}(1) & x - y = 16\\(2) & x = 4y - 5\end{cases}

2. Solve the equations

\begin{array}{lrcll}(3) & 4y - 5 - y & = & 16 &\text{Substituted (2) into (1)}\\& 3y - 5 & = & 16 &\text{Simplified}\\ & 3y & = & 21 &\text{Added 5 to each side}\\(4) &y & = & \mathbf{7} &\text{Divided each side by 3} \\& x - 7 & = & 16 & \text{Substituted (4) into (1)}\\& x& = & \mathbf{23} & \text{Added 7 to each side}\\\end{array}

The larger number is 23; the smaller number is 7.

3. Check

\begin{array}{rclcrcl}23 - 7& = & 16 & \qquad &23&=&4(7) - 5\\16 & = & 16 & \qquad &23& = &28 - 5\\&&& \qquad &23& = &23\\\end{array}

OK.

3 0
3 years ago
4. Determine whether each sample is biased or unbiased. Include your reason why for full credit!
AnnyKZ [126]

Answer:

4) Unbiased; 5) Biased

Step-by-step explanation:

4) states that the audience of the poll was "random" people meaning it's a good foundation of data as they weren't chosen for the employee noticing their specific affiliation with being overjoyed with the product (as the question doesn't say) or for not liking (have complaints about it) the product.

5) The audience of the poll is fans of a sports team--definitely biased because they'll say they love the 49ers being a fan for them. Leads to skewed results not representing a portion of a population accurately.

8 0
3 years ago
Here is a data set:
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Answer:

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6 ----  0 3 5 7 7 8 9

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8 ----  0 1 3 7 9

9 ---- 3 4 8

10

11

12

13

14

15

16

17 ----  2

18

19

20

Step-by-step explanation:

I hope this helps...

6 0
3 years ago
-12 to the power of -2
Novosadov [1.4K]

Answer:

144

Step-by-step explanation:

6 0
2 years ago
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aleksandr82 [10.1K]
3 2/7 = 21/7

answer is 21/7
8 0
3 years ago
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