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ollegr [7]
2 years ago
14

What is the first four terms of the geometric sequence where a1=−8 and r=−2 ?

Mathematics
1 answer:
mash [69]2 years ago
7 0

Answer:

-8, 16, -32, 64

Step-by-step explanation:

a1 = -8

r = -2

a2 = -8(-2)=16

a3 = -8(-2)²=-8(4)=-32

a4=-8(-2)³=-8(-8)=64

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Find two numbers if their difference is 16 and their ratio is 5:7.
myrzilka [38]

Let us say that the numbers are x and y. The given clues are:

1. x – y = 16         (so x is the larger number)

2. y / x = 5 / 7

 

rewriting eqtn 2 in terms of y:

y = (5/7) x

 

combining 1 and 2:

x – (5/7) x = 16

(2/7) x = 16

x = 56

 

y = (5/7) x = 40

 

So the two numbers are 56 and 40.

3 0
3 years ago
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Each year for 3 years, the time it takes you to run a mile decreases by 10 seconds. Find the total change time
hichkok12 [17]

Answer: 109.5

Step-by-step explanation: EACH year for three years would be 1095 if you  multiply 365 (each year) by 3 (the amount of years) and then divide that by 10. Im not entirely sure but I hope I helped

7 0
3 years ago
Cramers rule<br>hurry up plzzz​
olya-2409 [2.1K]

Answer:

Answers provided below

Step-by-step explanation:

From the simultaneous linear equation, we have the coefficient matrix as;

(3 4 5)

(2 -1 8)

(5 -2 7)

The x-matrix is Dx is given by;

(18 4 5)

(13 -1 8)

(20 -2 7)

Similarly, the y-matrix Dy is given by;

(3 18 5)

(2 13 8)

(5 -20 7)

Also,the z-matrix Dz is given by;

(3 4 18)

(2 -1 13)

(5 -2 -20)

Determinant of the coefficient matrix from online determinant calculator is;

D = 136

Determinant of the x-matrix from online determinant calculator is; Dx = 92

Determinant of the y-matrix from online determinant calculator is; Dy = 696

Determinant of the z-matrix from online determinant calculator is; Dz = 576

From crammers rule;

x = Dx/D = 92/136

y = Dy/D = 696/136

z = Dz/D = 576/136

6 0
2 years ago
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Rainbow [258]

your answer is a ok i hope this helpful

4 0
3 years ago
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The point (1,0) lies on the graph of<br> P(x) = x4 – 2x3-+2<br> O A. True<br> OB. False
fomenos

Answer:

False

Step-by-step explanation:

5 0
2 years ago
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