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gtnhenbr [62]
3 years ago
14

Find the common ratio of the geometric sequence 8, 16, 32

Mathematics
1 answer:
Furkat [3]3 years ago
5 0
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 2 gives the next term.
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The scatterplot below shows the average yearly consumption of bottled water by people in the United States starting in 1990. Usi
lina2011 [118]
Where is the question chart/graph?
8 0
3 years ago
Given the parametric equations x = 2sint and y = -3cost on 0 ≤ t ≤ π. convert to a rectangular equation and sketch the curve
Temka [501]

The rectangular equation for given parametric equations x = 2sin(t) and   y = -3cos(t) on 0 ≤ t ≤ π is  \frac{x^{2} }{4} +\frac{y^2}{9} =1 which is an ellipse.

For given question,

We have been given a pair of parametric equations x = 2sin(t) and           y = -3cos(t) on 0 ≤ t ≤ π.

We need to convert given parametric equations to a rectangular equation and sketch the curve.

Given parametric equations can be written as,

x/2 = sin(t) and y/(-3) = cos(t) on 0 ≤ t ≤ π.

We know that the trigonometric identity,

sin²t + cos²t = 1

⇒ (x/2)² + (- y/3)² = 1

⇒ \frac{x^{2} }{4} +\frac{y^2}{9} =1

This represents an ellipse with center (0, 0), major axis 18 units and minor axis 8 units.

The rectangular equation is  \frac{x^{2} }{4} +\frac{y^2}{9} =1

The graph of the rectangular equation \frac{x^{2} }{4} +\frac{y^2}{9} =1 is as shown below.

Therefore, the rectangular equation for given parametric equations x = 2sint and y = -3cost on 0 ≤ t ≤ π is  \frac{x^{2} }{4} +\frac{y^2}{9} =1 which is an ellipse.

Learn more about the parametric equations here:

brainly.com/question/14289251

#SPJ4

7 0
2 years ago
How do you find the volume of a cylinder, cone or sphere ​
nata0808 [166]

Answer:

Step-by-step explanation:

Cone. The volume of a cone is linked to the volume of a cylinder. A cone is one third of the volume of a cylinder. ...

Sphere. The volume of a sphere is ⁴/₃ × π × r³. ...

Cylinder. The volume of a cylinder is π × r² × l (r is the radius of the circle and l is the length of the cylinder).

8 0
2 years ago
Mr. Yu applies 12 ounce of fertilizer to every 58 square meter of his lawn.How many ounces of fertilizer does Mr. Yu use per squ
DedPeter [7]
1/2 divided by 5/8 
Keep  Change  Flip=

1/2 x 8/5= 0.8 
0.8 = 8/10 simpified 4/5 

Answer: 4/5 
7 0
3 years ago
Rachel is saving money to buy an outfit for a party she has already saved $17 she is earning $5 each month for being a mother's
AveGali [126]

Answer:

18 Weeks

Step-by-step explanation:

$39.50=17 + (5*x)

$39.50-17=17-17 + (5*x)

$22.5/5=(5*x)/5

It will take 4.5 months to save up. If each month has 4 weeks it will take 18 weeks

7 0
3 years ago
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