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2 years ago

What is the next term of the geometric sequence? −128/27,32/9,−8/3,?

Mathematics

2 answers:

padilas [110]2 years ago

8 0

Answer:

2 on kahn acamdey

Step-by-step explanation:

Rudik [331]2 years ago

4 0

Step-by-step explanation:

common ratio(r)=-3/4

a2÷a1=r

32/9÷-128/27=-3/4

therefore using the common ratio to find the fourth term is just by multiplying the third term -8/3 by the common ratio -3/4

which equals = 2

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Find Distance (4,6) (-4,-3)

vampirchik [111]

Answer:

$\sqrt{145}$

Step-by-step explanation:

The distance formula states that the distance between two points $(a,b)$ and $(c,d)$ is $\sqrt{(a-c)^2+(b-d)^2}$ .

The two points we have are $(4,6)$ and $(-4,-3)$ . Plugging these numbers into the distance formula, we have

$\sqrt{(4-(-4))^2+(6-(-3))^2$ .

Simplifying with order of operations, first using the distributive property, gives

$\sqrt{(4+4)^2+(6+3)^2$ .

Squaring and adding gives

$\sqrt{(4+4)^2+(6+3)^2}=\sqrt{8^2+9^2}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{64+81}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\boxed{\sqrt{145}},$

which is the answer in simplest form. This also rounds to about 12.04.

7 0

2 years ago

Kelso is in charge of a bake sale. On each table, t, there will be a platter of 24 cookies and 2 bowls of brownies with b browni

Phantasy [73]

24*7 = 168
(2*12)*7=168
168*2=336

336 Total sweets

8 0

3 years ago

Louis bought a giant sub sandwich for the party. He wants to cut into 6-inch sections. If the sandwich is 18.25 feet, how many s

Lynna [10]

36.5
He’d have 36, 6 in sandwiches and a 3 inch section left
Explanation:
Take 18.25 and multiply by 12 which gives you 219. The amount of inches in the sandwich. Then divide 219 by 6 and you get 36.5

5 0

1 year ago

Bob's Skate Shop had a profit of $3,563 during the month of August. The company models its profit using P=x^2+10x-12

Vladimir79 [104]

$x^2+10x-12 =3563 \\ x^2+10x-12 -3563=0 \\ x^2+10x-3575=0 \\ D=b^2-4ac=10^2-4*1*(-3575)=100+14300=14400 \\ x_{1,2}= \frac{-bб \sqrt{D} }{2a}= \frac{-10б \sqrt{14400} }{2}= \frac{-10б 120 }{2} \\ x_1= -65 \ \ \ \O \\ x_2=55$

The company sold 55 skateboards.

4 0

3 years ago

How do i convert 91/10 to a mixed number

geniusboy [140]

The fraction 91/10 is equivalent1 to 9 1/10.
This fraction is a IMPROPER FRACTION once the absolute value of the top number or numerator (91) is greater than the absolute value of the bottom number or denomintor (10). So, the equivalent fraction is a MIXED NUMBER which is made up of a whole number (9) and proper fraction (1/10).
<span>The fraction 91/10 is equal to 91÷10 and can also be expressed in decimal form as 9.1.</span>

7 0

3 years ago