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Helen [10]
3 years ago
12

The first term of the a sequence equals 3. Each term in the sequence can be obtained by adding 2 from three times the value of t

he prior term.
a. List the first four terms of the sequence

b. Write the recursive formula

c. Is this an arithmetic sequence? Explain

Can anyone solve this ate you smart enough to handle my 11th graders only.​
Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
5 0
I believe it’s A
Hope that helps
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The volume of a large aquarium is 210 yd. It is 3 yd wide and 2
Pavel [41]

Length of the aquarium is 35 yd

Step-by-step explanation:

  • Step 1: Volume of the aquarium = 210 yd³ given by Volume = length × width × height. Width = 3 yd and Height = 2 yd

Length = Volume/Width × Height

            = 210/3 × 2 = 210/6

            = 35 yd

5 0
3 years ago
At what x value does the function given below have a hole?<br><br> f(x)=x+3/x2−9
S_A_V [24]

Answer:

hole at x=-3

Step-by-step explanation:

The hole is the discontinuity that exists after the fraction reduces. (Still doesn't exist for original of course)

The discontinuities for this expression is when the bottom is 0. x^2-9=0 when x=3 or x=-3 since squaring either and then subtracting 9 would lead to 0.

So anyways we have (x+3)/(x^2-9)

= (x+3)/((x-3)(x+3))

Now this equals 1/(x-3) with a hole at x=-3 since the x+3 factor was "cancelled" from the denominator.

4 0
3 years ago
Julia rides her horse 18 km with a constant speed of 6km/hr and another 24 km with a constant speed of 12 km/hr. What is her ave
nlexa [21]

Answer:

8.4 km/hr.

Step-by-step explanation:

We have been given that Julia rides her horse 18 km with a constant speed of 6 km/hr.

Let us find the time taken by Julia to cover a distance of 18 km.

\text{Time}=\frac{\text{Distance}}{\text{Speed}}

\text{Time taken to cover 18 km}=\frac{18\text{ km}}{\frac{6\text{km}}{\text{hour}}}

\text{Time taken to cover 18 km}=\frac{18\text{ km}}{6}\times\frac{\text{hour}}{\text{km}}

\text{Time taken to cover 18 km}=\frac{18}{6}\times\text{hour}

\text{Time taken to cover 18 km}=3\text{ hour}

We are also told that she rides another 24 km with a constant speed of 12 km/hr.

Let us find the time taken by Julia to cover a distance of 24 km.

\text{Time taken to cover 24 km}=\frac{24\text{ km}}{\frac{12\text{km}}{\text{hour}}}

\text{Time taken to cover 24 km}=\frac{24\text{ km}}{12}\times\frac{\text{hour}}{\text{km}}

\text{Time taken to cover 24 km}=\frac{24}{12}\times\text{hour}

\text{Time taken to cover 24 km}=2\text{ hour}

Since we know that \text{Average speed}=\frac{\text{Total distance}}{\text{Total time}}.

Upon substituting our values in above formula we will get,

\text{Julia's average speed}=\frac{18\text{ km}+24\text{ km}+}{3\text{ hour}+2\text{ hour}}

\text{Julia's average speed}=\frac{42\text{ km}}{5\text{ hour}}

\text{Julia's average speed}=\frac{8.4\text{ km}}{\text{ hour}}

Therefore, Julia's average speed is 8.4 km per hour.


5 0
4 years ago
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