What is the common ratio of the sequence?

-2, 6, -18, 54,...

Answers

Answer 1

Answer: a1=-2
a2=6
a3=-18

the common ratio musbe negative since the signs alternate

it is multiilied by 3 ach time

comon ratio is -3
an=-2(-3)^(n-1)

Answer 2

Answer:

Answer:

the common ratio is -3

Step-by-step explanation:

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A rectangle has a perimeter of 26 cm and one of its sides has a length of 5 cm sketch a rectangle and label all of its sides lengths

Answers

Answer:

Step-by-step explanation:

Perimeter of rectangle given = 26 cm

And measure of a side of the rectangle = 5 cm

Since perimeter of a rectangle = 2(length + width)

By replacing the values of perimeter and length in the formula

26 = 2(5 + width)

5 + width = $(26)/(2)=13$

width = 13 - 5 = 8 cm

Now we can draw a rectangle of length = 5 cm and width = 8 cm

im thinking both shorter sides are 5cm, and the 2 longer sides are 8cm each... add them all together and you get 26cm

Find the approximate circumference of a circle (in inches) if the diameter is 14 inches

Answers

Answer:

43.96 inches

Step-by-step explanation:

The formula that you have to find the circumference is.

C = π d

Here,

C = circumference

d = diameter

Let us find now.

C = π d

C = π × 14

C = 3.14 × 14

C = 43.96 inches

Hope this helps you :-)

Let me know if you have any other questions :-)

What is the sum of the geometric sequence 3, 15, 75, … if there are 8 terms?39,062
58,593
195,312
292,968

Answers

If you would like to know the sum of the geometric sequence, you can calculate this using the following steps:

3, 15, 75, 75 * 5 = 375, 375 * 5 = 1875, 1875 * 5 = 9375, 9375 * 5 = 46875, 46875 * 5 = 234375

3 + 15 + 75 + 375 + 1875 + 9375 + 46875 + 234375 = 292,968

The correct result would be 292,968.

Answer:

292,968

Step-by-step explanation:

Step 1: Use geometric sequence formula $s_n=(a1r^n)/(1-r)$

$S_n$ & $n$ = the sum of geometric sequence & terms in total (8)

$r$ = common ratio (5)

$a_1$ = first term in sequence (3)

$s_8=(3(5)^(^8^))/( 1-5 )\ns_8=((3)390625)/(-4)\ns_8= (1171875)/( -4 )\ns_8=292968$

If 95% of the students are present in a school and the number of absent students is 25, find the total number of students in the school? (A) 500 (B) 400 (C) 600 (D) 450

Answers

Answer: Option A: 500.

Step-by-step explanation:

If 95% of the students are present in a school, then the number of absent students is 5% of the total number of students. We are given that the number of absent students is 25, so we can set up an equation:

0.05x = 25

Solving for x, we get:

x = 25 / 0.05 = 500

Therefore, the total number of students in the school is 500.

Therefore, the correct answer is Option A: 500.

Please let me know if there’s anything else I can help you with!

I need an equation for this problem: A small golf club manufacturer is concerned about their monthly costs. The shop has fixed costs of $23,250 per month to run in addition to the $145 in materials per set of golf clubs produced. If the company wants to break-even making 100 sets of clubs per month, what should they charge for each set? Recall that the break-even point is when revenue equals costs. I solved it and the answer is 377.50 but i need a proper equation for my answer

Answers

100 = number of sets of clubs manufactured per month
S = sell-price for a set of clubs

Expenses per month = 23,250 + 145(100) = 37,750

Revenue per month = 100 S

Break-even when Expenses = Revenue

100 S = 37,750

One question: How did you solve it without an equation ?

If a 100(degree) arc of a circle has a length of 8 inches, to the nearest inch, what is the radius of the circle?