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solniwko [45]
3 years ago
13

Match each table to the slope it represents

Mathematics
1 answer:
leva [86]3 years ago
6 0

Answer:

I dont see anything how am I supposed to

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in a AP the first term is 8,nth term is 33 and sum to first n terms is 123.Find n and common difference​
allsm [11]

I believe there is no such AP...

Recursively, this sequence is supposed to be given by

\begin{cases}a_1=8\\a_k=a_{k-1}+d&\text{for }k>1\end{cases}

so that

a_k=a_{k-1}+d=a_{k-2}+2d=\cdots=a_1+(k-1)d

a_n=a_1+(n-1)d

33=8+(n-1)d

21=(n-1)d

n has to be an integer, which means there are 4 possible cases.

Case 1: n-1=1 and d=21. But

\displaystyle\sum_{k=1}^2(8+21(k-1))=37\neq123

Case 2: n-1=21 and d=1. But

\displaystyle\sum_{k=1}^{22}(8+1(k-1))=407\neq123

Case 3: n-1=3 and d=7. But

\displaystyle\sum_{k=1}^4(8+7(k-1))=74\neq123

Case 4: n-1=7 and d=3. But

\displaystyle\sum_{k=1}^8(8+3(k-1))=148\neq123

8 0
3 years ago
One circular table has a diameter of 8 ft, and another circular table has a diameter of 12 ft. How much greater is the area of t
mezya [45]

Answer:

20π sq ft ≈ 62.83 sq ft

Step-by-step explanation:

Area of table with diameter 8 ft = π*8^2/4 = 16π

Area of table with diameter 12 ft = π*12^2/4 = 36π

Difference between the area of the tables ;

= 36π - 16π

= 20π sq ft ≈ 62.83 sq ft                              ( π = 3.14)

8 0
3 years ago
Read 2 more answers
Answer the following questions.
serg [7]
39 is <span>312% </span>of 12.5

To find this you just divide 12.5 into 39 which gives you 3.12. To change that to a percentage you multiply by 100 which gives you 312%

7.5 is <span>102% </span>of 7.38

To find this you just divide 7.38 into 7.5 which gives you 1.0162, which I rounded to 1.02. To change that to a percentage you multiply by 100 which gives you 102%

I hope this helped! :)
6 0
3 years ago
On July 1, 2021 Sikie Shoe Manufacturing Co. issued 45,000 common shares for cash at a Market price of $25
Gnom [1K]

Answer:

$1125000

Step-by-step explanation:

45,000 x 25 = 1125000

Since the question didn't specify what values to calculate, I will assume that it is how much money was issued in total.

5 0
3 years ago
if 28 students out of 35 in our class enjoy using electronics in their spare time, how many would you expect out of the 300stude
max2010maxim [7]

Answer:

240 students

Step-by-step explanation:

28/35=x/300

cross multiply to get 35x=300*28

divide both sides by 35 to get 240

4 0
3 years ago
Read 2 more answers
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