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PSYCHO15rus [73]
2 years ago
15

Ashley is taking a road trip to visit her friend. She drives 87.5 miles before taking a break

Mathematics
1 answer:
DanielleElmas [232]2 years ago
6 0

Answer:

112.5

Step-by-step explanation:

200 - 87.5 = 112.5

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Answer:

28?

Step-by-step explanation:

4 0
3 years ago
What is the explicit rule for this geometric sequence? a1=-15;an=1/5•an-1
Ad libitum [116K]

Answer:

Option A is correct.

a_n =-15 (\frac{1}{5})^{n-1}

Step-by-step explanation:

Given: a_1 = -15 ; a_n = \frac{1}{5} \cdot a_{n-1}

for n = 2

a_2 = \frac{1}{5} \cdot a_{2-1} = \frac{1}{5}\cdot a_1 = \frac{1}{5} \cdot (-15)

for n =3

a_3 = \frac{1}{5} \cdot a_{3-1} = \frac{1}{5} \cdota_2= (\frac{1}{5})^2\cdot (-15)

Simlarly , for n =4

a_3 = \frac{1}{5} \cdot a_{4-1} = \frac{1}{5}\cdot a_3= (\frac{1}{5})^3\cdot (-15)

and so on...

Common ratio(r) states that for a geometric sequence or geometric series, the common ratio is the ratio of a term to the previous term.

we have;   r = \frac{a_2}{a_1} = \frac{1}{5}

Now; by recursive formula for geometric series:

a_n = a_1 r^{n-1}

where a_1 is the first term and r is the common ratio:

Substitute the value of a_1 = -15  and  r = \frac{1}{5}

we have;

a_n =-15 (\frac{1}{5})^{n-1}

therefore, the explicit rule for the geometric sequence is; a_n =-15 (\frac{1}{5})^{n-1}

3 0
3 years ago
Evaluate 5+{2-(3-4)+[4+(2-3)]}
lord [1]

Answer:

The result can be shown in multiple forms.

Exact Form:

32

3

Decimal Form:

10.

¯

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Mixed Number Form:

10

2

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Simplify the numerator.

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2

4

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2

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4

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1

Simplify the denominator.

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2

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3

16

Multiply the numerator by the reciprocal of the denominator.

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(

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16

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)

Multiply  

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.

32

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Step-by-step explanation: Simplify the numerator.

−

2

4

−

2

−

4

−

1

Simplify the denominator.

−

2

−

3

16

Multiply the numerator by the reciprocal of the denominator.

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2

(

−

16

3

)

Multiply  

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2

(

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16

3

)

.

Tap for more steps...

32

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The result can be shown in multiple forms.

Exact Form:

32

3

Decimal Form:

10.

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Mixed Number Form:

10

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8 0
3 years ago
2,000 water bottles are being labeled and boxed. Each box holds 6 water bottles. How many bottles will be left over?
Lostsunrise [7]

Answer:

2 left out, with 333 boxes

Step-by-step explanation:

2000/6=333.333333 (\frac{1}{3})

\frac{1}{3} of 6 is 2. Therefore, there would be 333 boxes, with two left unboxed.

4 0
3 years ago
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Find the directional derivative of the function at the given point in the direction of the vector v. g(p, q) = p4 − p2q3, (2, 1)
ArbitrLikvidat [17]

Answer:

-4√10 / 5 or -8√10 / 5

Step-by-step explanation:

See attachment for calculation

6 0
3 years ago
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