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Rudiy27
3 years ago
11

What is the common ratio for the sequence 1, 4, 16, 64,...? 1/41/224​

Mathematics
2 answers:
Crazy boy [7]3 years ago
4 0

Answer:

4

Step-by-step explanation:

each term is 4 times the previous term

the common ration is 4

Lelechka [254]3 years ago
4 0

Answer:

r = 4

Step-by-step explanation:

The common ratio r of the geometric sequence is calculated as

r = \frac{a_{2} }{a_{1} } = \frac{4}{1} = 4

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A person gets on a Ferris wheel at the starting point. The starting point is 15 feet off the ground. The Ferris wheel has a radi
lisov135 [29]
<h2>Answer:</h2>

\boxed{\frac{25}{2}(\sqrt{6}+\sqrt{2})+65}

<h2>Explanation:</h2>

<em>The height of the rider from the ground after the Ferris wheel</em> equals <em>the starting point is 15 feet off the ground </em><em>plus </em><em>the radius of the Ferris wheel </em><em>plus </em><em>the opposite side of the triangle ΔABC </em>(See figure below).<em> </em>Hence our goal is to find this side. We have the angle 11\pi /2=165^{\circ}, therefore the angle ∠BAC = 165° - 90° = 75°. So this side can be found using trigonometry:

\overline{BC}=\overline{AB}sin(75^{\circ})=50sin(75^{\circ})=\frac{25}{2}(\sqrt{6}+\sqrt{2})

Finally, the height is:

H=\frac{25}{2}(\sqrt{6}+\sqrt{2})+15+50 \\ \\ \boxed{H=\frac{25}{2}(\sqrt{6}+\sqrt{2})+65}

6 0
3 years ago
Which angle(s) is Julian describing
dimulka [17.4K]
What angle are you talking about
5 0
3 years ago
Wendy took a trip from one city to another, a distance of 500 mi. She traveled part of the way by bus, which arrived at the trai
Fynjy0 [20]

<u>Answer- </u>Wendy spent 3 hours on the train

<u>Solution-</u>

The distance between the cities= 500 mi.

She traveled part of the way by bus, and other part by train.

The bus averaged 40 mph, and the train averaged 120 mph.

The entire trip took 6.5 hours.

let d = distance traveled by train

the total distance was given as 500 mi ,

therefore, distance traveled by bus  = (500-d) mi

time = distance/speed

⇒ train traveling time + bus traveling time = 6.5 hrs

⇒ \frac{d}{120} +\frac{500-d}{40} = 6.5

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⇒ d = 360  mi

so d = 360 mi by train

⇒ 360/120 = 3 hrs on the train

8 0
3 years ago
Six years less than Tracy's age
horsena [70]
If tracey's age is x

then x-6 is the expression for six years less than tracy's age

is this what you need? 
hope this helps.
5 0
3 years ago
Use the​ slope-intercept form to graph the equation y=5/4x-1
schepotkina [342]

Answer:

m = 5/4

(0,-1),(4/5,0)

Join the dots to obtain the graph!

3 0
3 years ago
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