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Damm [24]
3 years ago
11

Write an explicit formula for the sequence 8,3,-2,-7,-12… then find a14

Mathematics
1 answer:
matrenka [14]3 years ago
4 0
This is an arithmetic progression with common difference, d= -5 and first term, a=8
Tn= a+(n-1)d
Tn= 8+ (n-1) * -5
Tn= 8+-5(n-1)
Tn= 8-5n+5
Explicit Formula: Tn= -5n+13  
a14= -5(14)+13
= -70+13
= -57
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Solve the system using elimination.<br> -9x - 4y = 1<br> 3x + 3y = 3<br> ([?], [])
irakobra [83]

Step-by-step explanation:

-9x-4y=1....eq1

3x+3y=3.....eq2

multiply eq2 by 3

to get

9x+9y=9....eq3

add eq1 and 3

0+5y=10

5y=10

divide both sides by 5

y=2

substitute y=2 in to eq1

-9x-4(2)=1

-9x-8=1

grouping of like terms

-9x=1+8

-9x=9

divide both sides by -9

x= -1

now the answer is

x= -1, y=2

7 0
3 years ago
What is equivalent to 625/1000
Margaret [11]
625/1000=(25^2/10^3)
4 0
4 years ago
Read 2 more answers
Leona is having a birthday party on Sunday. Jeanette wants to know how many people will be coming. Leona tells her that there wi
konstantin123 [22]

Answer:77 and 87

Step-by-step explanation:

7×6=42 + 5+7=35/\ 35+42=77(first outcome)

7×6=42 + 5×9=45/\42+45=87 (second outcome.

7 0
3 years ago
Express the area A of a circle as a function of its​ radius, r. Determine the area of a circle whose radius is 11 inches. That​
nekit [7.7K]
<h2>Answer with explanation:</h2>

The function represents the area of a circle(A) is given by :-

A(r)=2\pi r

To determine the area of a circle whose radius is 11 inches. , we put the value of r=11 inches, we get

A(11)=2\pi (11)

Now, we put \pi=\dfrac{22}{7} in the above function , we get

A(11)=2(\dfrac{22}{7} )(11)\\\\\Rightarrow\ A=56.5714285714\approx56.57

8 0
3 years ago
What is the radius of a circle with circumference 17mm? Round to nearest tenth. Use 3.14
WINSTONCH [101]
     C = 2πr
   17 = 2(3.14)(r)
   17 = 2(3.14r)
   17 = 6.28r
 6.28   6.28
2.71 ≈ r
5 0
4 years ago
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