All categories

3 years ago

Find the common ratio of the geometric sequence 11, -55, 275,...11,−55,275,...

Mathematics

1 answer:

Kaylis [27]3 years ago

3 0

Answer:

r = -5

Step-by-step explanation:

common ratio (r) is found be dividing one term by its preceding term:

r = 275 ÷ -55 = -5

or, r = -55 ÷ 11 = -5

Therefore, r = -5

You might be interested in

We're doing writing equations with Point & Slope<br> through: (5,1) slope= 4/5<br> good luck lol

astraxan [27]

Answer:

y = 0.8x - 3

Step-by-step explanation:

See attached screenshot solution using Desmos

7 0

3 years ago

What is the retail price of a couch at a furniture store that has a wholesale price of $115 and is marked up by 75 percent?

mel-nik [20]

115 + 0.75*115
= 115 + 86.25
= $201.25

4 0

3 years ago

URGENT!!!

rusak2 [61]

Answer:

Step-by-step explanation:

First, the acceleration of gravity is -9.8m/s^2. This still works out since the formula uses 1/2 of it.

Hopefully you see where the other parts come from. Anyway, standard form of a quadratic is ax^2+bx+c=0. So this is almost there. You just need to subtract that 2.1 from both sides.

-4.9t^2+7.5t+-.3=0

Now with this, since it has taken into account the height that the ball was caught with that 2.1, you just need to find the 0s, which is what the quadratic equation does.

The quadratic equation is (-b±sqrt(b^2-4ac))/(2a) and we have a = -4.9, b = 7.5 and c = -.3. Remember you want to keep the signs. Now we just plug in.

(-b±sqrt(b^2-4ac))/(2a)

(-7.5±sqrt((-7.5)^2-4*-4.9*-.3))/(2*-4.9)

(-7.5±sqrt(56.25-5.88))/(.9.8)

(-7.5±sqrt(50.37))/(-9.8)

(-7.5±7.097)/(-9.8)

The plus or minus means there are two equations.

(-7.5+7.097)/(-9.8) and (-7.5-7.097)/(-9.8) So we will solve for both of these.

.04112 and 1.4895. That means these two times are when the ball is at 2.1 meters. One time on the way up and one time on the way down. We can safely assume that the other player catches the ball on the way down, so we want to use the second time, so 1.4895 seconds.

4 0

4 years ago

Someone please please help me on this problem

egoroff_w [7]

Answer:

81 Pesos

Step-by-step explanation:

Use a proportion.

$3 is to 2 Pesos as $121.10 is to x Pesos.

3/2 = 121.1/x

3x = 2 * 121.1

3x = 242.20

x = 80.7333...

Answer: 81 Pesos

8 0

3 years ago

SOS! PLEASE HELP ME!!

vfiekz [6]

Answer:

a) The point (4, 122) represents that the cost of 4 tickets is $122

b) The unit rate is 30.5 dollars per ticket

c) The cost of buying 10 tickets is $305

Step-by-step explanation:

Let us solve the question

From the given graph

∵ The x-axis represents the number of tickets

∵ The y-axis represents the cost of tickets in dollars

∴ The line represents the relationship between the number of tickets

and their cost

∵ The point (4, 122) lies on the line

∴ x = the number of tickets

∴ y = their cost

∵ x = 4 and y = 122

∴ The cost of the 4 tickets is 122 dollars

∴ The point (4, 122) represents that the cost of 4 tickets is $122

∵ The unit rate is the slope of the line

∵ The slope of the line = Δy/Δx, where

Δy = y2 - y1
Δx = x2 - x1

∵ The line passes through points (0, 0) and (2, 61)

∴ x1 = 0 and x2 = 2

∴ y1 = 0 and y2 = 61

→ Substitute them in the rule of the slope above

∴ The slope of the line = $\frac{61-0}{2-0}$ = $\frac{61}{2}$ = 30.5

∴ The unit rate is 30.5 dollars per ticket

∵ The linear equation is y = m x + b, where

m is the slope of the line
b is the y-intercept (value y at x = 0)

∵ m = 30.5 ⇒ the slope of the lone

∵ b = 0 ⇒ The line passes through the origin point (0, 0)

∴ The equation of the line is y = 30.5x

∵ x = 10 ⇒ number of tickets

→ Substitute x by 10 in the equation to find the cost of 10 tickets

∴ y = 30.5(10)

∴ y = 305

∴ The cost of buying 10 tickets is $305

8 0

3 years ago