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nlexa [21]
3 years ago
14

Identify the 35th term of an arithmetic sequence where a1 = −7 and a18 = 95.

Mathematics
1 answer:
borishaifa [10]3 years ago
4 0
Th term of an arithmetic sequence:

We have to find the difference (d)

an=a₁+(n-1)d

Data:
a₁=-7
a₁₈=95

95=-7+(18-1)d
95+7=17d
17d=102
d=102/17
d=6

Now, we can calculate the 35 th term of an arithmetic sequence:
a₃₅=-7+(35-1)*6
a₃₅=-7+34*6
a₃₅=-7+204
a₃₅=197

Answer: the 35th term of this arithmetic sequence is 197. (a₃₅=197)

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4 1/9

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Paul wants to compare whether the prices of tangerines in two supermarkets differ significantly. He has been noting down the dai
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<span>Based on the rules of statistics</span>

 68% of the data falls within 1 standard deviation of the mean

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5 0
3 years ago
help me find the volume and area of this figure step by step pleasefyi the answer key my teacher gave me says that the surface a
alisha [4.7K]

The volume of the shape

We have a cylinder that is cut into two. Its external radius is 5ft, while its internal radius is 4ft.

External radius = internal radius + thickness

\begin{gathered} \text{External radius = 4ft + 1ft } \\ =\text{  5ft} \end{gathered}

Internal radius = 4ft (given)

Recall that the volume(V) of a full cylinder is:

V\text{ = }\pi r^2h

Since the cylinder is cut into two, the volume(V) is:

V\text{ = }\frac{\pi r^2h}{2}

height (h) = 12ft (given)

The volume of the shape:

\begin{gathered} =\text{ Volume of cylinder with a radius of 5ft - Volume of cylinder with a radius of 4ft} \\ =\text{ }\frac{\pi\text{ }\times5^2\text{ }\times\text{ 12}}{2}\text{ - }\frac{\pi\text{ }\times4^2\text{ }\times\text{ 12}}{2} \\ =\text{ 471.239 - }301.593 \\ =169.65ft^3 \end{gathered}

5 0
1 year ago
Plz help me solve this. and any song requests
LuckyWell [14K]

Answer:

66

Step-by-step explanation:

12(8)-9(8-6)-(12-9)(8)÷2=96-18-12      or   6(9)+(12-9)(8)/2=54+12

                                     = 66                                              =66

3 0
3 years ago
Read 2 more answers
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