All categories

3 years ago

Find the 14th term of the geometric sequence 2, 6, 18, ...

Mathematics

1 answer:

-BARSIC- [3]3 years ago

6 0

Answer:

Step-by-step explanation:

its a sequence. they are multiplying by 3 each time.

You might be interested in

a suit cost $95 Barry has a discount coupon for 10% off and the city has a 4.5 percent sales tax what is the final cost of the s

SIZIF [17.4K]

SO the suit cost $95 and it has a discount of 10%
so 95*10/100=9.5
so 10% of 95 is 9.5
subtract 9.5 from 95 and that equals 85.5
then you have to add 4.5 percent sales tax
so 85.5+ 4.5%= 89.347
So the final cost would be $89.34

3 0

3 years ago

Evaluate using order of operations.<br> 9(8 – 11) – 3(-5)

yulyashka [42]

Answer:

-12

Step-by-step explanation:

$9(8-11)-3(-5)$

First do multiplication.

$72-99+15$

And then, do the rest of the equation from left to right.

$-27+15$

Answer that question to get:

-12

Hope this helped! :)

8 0

2 years ago

consider the line y= 2/3x-0. Find the equation of the line that is parallel to this line and passes through the point (8, 4).

tresset_1 [31]

Point-slope form of a line: we need a point (x₀,y₀) and the slope "m".
y-y₀=m(x-x₀)

slope intercept form :
y=m+b

m=slope

If the line is parallel to y=2/3 x-0, the line will have the same slope, therefore the slope will be: 2/3.

Data:
(8,4)
m=2/3

y-y₀=m(x-x₀)
y-4=2/3(x-8)
y-4=2/3 x-16/3
y=2/3 x-16/3+4
y=2/3 x-4/3 (slope intercept form)

Answer: The equation of the line would be: y=2/3 x-4/3.

if we have the next slope "m",then the perendicular slope will be:
m´=-1/m

We have this equation: y=2/3 x+0; the slope is: m=2/3.

The perpendicular slope will be: m`=-1/(2/3)=-3/2

And the equation of the perpendicular line to : y=2/3 x+0, given the point (8,4) will be:

y-y₀=m(x-x₀)
y-4=-3/2 (x-8)
y-4=-3/2 x+12
y=-3/2x + 12+4
y=-3/2x+16

answer: the perpendicular line to y=2/3 x+0 , given the point (8,4) will be:
y=-3/2 x+16

3 0

3 years ago

Is 2 feet longer than 30 inches

loris [4]

1 foot is 12 inches. 2 feet is 24 inches. yea so I'd say 30 inches is definitely longer

5 0

3 years ago

2.02b + 4.30 = 2.00b + 6.30

bonufazy [111]

Answer: b = 100

Step-by-step explanation:

simplifying

2.02b + 4.30 = 2.00b + 6.30

reorder the terms:

4.30 + 2.02b = 2.00b + 6.30

reorder the terms:

4.30 + 2.02b = 6.30 + 2.00b

solving

4.30 + 2.02b = 6.30 + 2.00b

solving for variable 'b'.

move all terms containing b to the left, all other terms to the right.

add '-2.00b' to each side of the equation.

4.30 + 2.02b + -2.00b = 6.30 + 2.00b + -2.00b

combine like terms: 2.02b + -2.00b = 0.02b

4.30 + 0.02b = 6.30 + 2.00b + -2.00b

combine like terms: 2.00b + -2.00b = 0.00

4.30 + 0.02b = 6.30 + 0.00

4.30 + 0.02b = 6.30

add '-4.30' to each side of the equation.

4.30 + -4.30 + 0.02b = 6.30 + -4.30

combine like terms: 4.30 + -4.30 = 0.00

0.00 + 0.02b = 6.30 + -4.30

0.02b = 6.30 + -4.30

combine like terms: 6.30 + -4.30 = 2

0.02b = 2

divide each side by '0.02'.

getting: b = 100

6 0

3 years ago