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Anna71 [15]
4 years ago
12

Which function can be used to describe the sequence? -2/3, -4, -24

Mathematics
1 answer:
pychu [463]4 years ago
5 0
Answer #3 is correct

6 is the common ratio (r)
first term is -2/3 (a)
the general equation is f(x)=a(r)^x-1
so plug in the number
f(x)=-2/3(6)^x-1
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Last year, each Capulet wrote 4 essays, each Montague wrote 6 essays, and both families wrote 100 essays in total.
SVEN [57.7K]

Answer: There are 16 Capulets and 6 Montaques.

Step-by-step explanation:Other choices were either less than or greater than 200 multiplied by each other. If we do 16x8 which is 128 for the Capulets. Also, if we do 12x6 which is 72 for the Montaques. 128+72=200 essays in total

8 0
3 years ago
Find the surface area of a cone with volume 320pi and height 15 (hint: don't use the height in
Mariana [72]

Answer:

200π

Step-by-step explanation:

Surface area of a cone  = πr(r+l)

r is the radius

l is the slant height

Volume of the cone = 1/3πr²h

320π = 1/3πr²h

320 = 1/3r²(15)

320 = 5r²

r² = 320/5

r² = 64

r = 8

l² = 15² + 8²

l² = 225 + 64

l² = 289

l = 17

Get the surface area;

S =  πr(r+l)

S =  π8(8+17)

S = π*8*25

S = 200π

Hence the surface area of the cone is 200π

8 0
3 years ago
An athletic field is a 60 yd60 yd​-by-120 yd120 yd ​rectangle, with a semicircle at each of the short sides. A running track 101
gregori [183]

Distance of each track are:

D₁ = 428.5 yd

D₂ = 436.35 yd

D₃ = 444.20 yd

D₄ = 452.05 yd

D₅ = 459.91 yd

D₆ = 467.76 yd

D₇ = 475.61 yd

D₈ = 483.47 yd

<u>Explanation:</u>

Given:

Track is divided into 8 lanes.

The length around each track is the two lengths of the rectangle plus the two lengths of the semi-circle with varying diameters.

Thus,

D = 2(120) + 2. \frac{1}{2} \pi d\\\\D = 240 + \pi d

Starting from the innermost edge with a diameter of 60yd.

Each lane is 10/8 = 1.25yd

So, the diameter increases by 2(1.25) = 2.5 yd each lane going outward.

So, the distances are:

D₁ = 240 + π (60) → 428.5yd

D₂ = 240 + π(60 + 2.5) → 436.35 yd

D₃ = 240 + π(60 + 5) → 444.20 yd

D₄ = 240 + π(60 + 7.5) → 452.05 yd

D₅ = 240 + π(60 + 10) → 459.91 yd

D₆ = 24 + π(60 + 12.5) → 467.76 yd

D₇ = 240 + π(60 + 15) → 475.61 yd

D₈ = 240 + π(60 + 17.5) → 483.47 yd

4 0
4 years ago
If your going 70 miles per hour how long would it take you to go 70 miles?
Umnica [9.8K]
1 hour

is that a lil pump reference
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4 years ago
Read 2 more answers
Answer so I can give you brainliest.
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Answer:

no

Step-by-step explanation:

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3 years ago
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