1. Which of the following is an arithmetic sequence?a. 2, 5, 9, 14, 20
b. 1, 3, 6, 10, 15
c. -5, -2, 1, 4, 7
d. -3, 0, 4, 9, 15

2. Which of the following is a geometric sequence?
a. 1, 2, 3, 4, 5
b. 7, 12, 17, 22, 27
c. 1, 3, 9, 27, 81
d. -4, 0, 4, 8, 12
e. -6, -4, -2, 0, 2

Answers

Answer 1

Answer:

i say C. -5, -2, 1, 4, 7 is your answer for question 1.

and for question 2 i think is E. -6, -4, -2, 0, 2.

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Lauren Petus paid $27 for a dress that was 10% off the list price. What was the list price of the dress?

Answers

$30

27/0.90=30
I think this is right sorry if it’s not

K = 3e + 5 what is the value of k when e = -2

Answers

$K=3e+5 \n\n K=3*(-2)+5 \n\n K=-6+5 \n\n \boxed{K=-1}$

Here is the work:
$K = 3e + 5 \n K=3(-2)+5 \nK=-6+5\n K=-1$

A picture frame 4 inches wide by 6.5 inches high has a 3 inch by 5 inch photograph place in the center. What is the area of the frame?

Answers

Answer:

$A_f=11~inches$

Step-by-step explanation:

Area of a Rectangle

A rectangle of width W and height H has an area of:

A = W.H

We have one rectangle inside another. The first rectangle corresponds to the frame and its contents. The second rectangle corresponds to the photograph.

The area of the frame without its contents is the difference between both areas:

$A_f = A_e-A_i$

Where Ae is the external area of the frame, and Ai is the internal frame of the photograph.

The frame has W=4 inches and L=6.5 inches, thus:

$A_e=4~inches*6.5~inches$

$A_e=26~inches$

The photograph has W=3 inches and L=5 inches, thus:

$A_i=3~inches*5~inches$

$A_i=15~inches$

The area of the frame is:

$A_f = 26 - 15 = 11~inches$

$\mathbf{A_f=11~inches}$

Area = l × w

= 6.5 × 4

= 26 feet2

In rhombus ABCD, AB = 13 and AC = 25. Find the area of the rhombus to the nearest tenth.

Answers

$the\ area\ of\ the\ rhombus=\n=half\ the\ product\ of\ the\ diagonals\ of\ a\ rhombus\n\nA= (1)/(2)\cdot |AB|\cdot |AC|=(1)/(2)\cdot 13\cdot 25= 162.5\ [u^2]$