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Sunny_sXe [5.5K]
3 years ago
12

The next three terms in the sequence

Mathematics
1 answer:
Nookie1986 [14]3 years ago
5 0
The next three terms are 2, 1/2, 1/4

You take 1/2 of each previous term to get the next term, which means this sequence is geometric (first term is 4, common ratio is 1/2)
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What is the solution of the equation 1.6m - 4.8 = -1.6m
Flauer [41]
Solve for m:
1.6 m - 4.8 = -1.6 m

Add 1.6 m to both sides:
1.6 m + 1.6 m - 4.8 = 1.6 m - 1.6 m

1.6 m - 1.6 m = 0:
1.6 m + 1.6 m - 4.8 = 0

1.6 m + 1.6 m = 3.2 m:
3.2 m - 4.8 = 0

Add 4.8 to both sides:
3.2 m + (-4.8 + 4.8) = 4.8

4.8 - 4.8 = 0:
3.2 m = 4.8

Divide both sides of 3.2 m = 4.8 by 3.2:
(3.2 m)/3.2 = 4.8/3.2

3.2/3.2 = 1:
m = 4.8/3.2

4.8/3.2 ≈ 1.5:
Answer:  m ≈ 1.5
6 0
3 years ago
Kate prepared 9 kilograms of dough after working 3 hours. How many hours did Kate work if she prepared 12 kilograms of dough? As
beks73 [17]

Answer:

4 hours

Step-by-step explanation:

cross multiply

3 0
3 years ago
the slope of line PQ is m= 1/4. find the equation of the line that is parallel to line PQ and that has the y intercept b= -3
nevsk [136]
For this case we have that the generic equation of the line is given by:
 y = mx + b

 Where,
 m: slope of the line
 b: intersection with the y axis.
 Since the line is parallel to PQ, then the slopes are equal.
 We have then:
 m = 1/4.

 On the other hand we have:
 b = -3

 Substituting values we have:
 y = (1/4) x - 3
 Answer:
 The equation of the line that is parallel to line PQ and that has the and intercept b = -3 is:
 y = (1/4) x - 3
4 0
3 years ago
-5(2b + 7) + b < -b - 11
Stells [14]
<span><span>-5(2b+7) + b < -b - 11</span>
<span>-10b - 35 + b < -b - 11

- 10b + b - 35 < -b - 11

-9b - 35 < -b - 11

- 9b + b < - 11 + 35 

-8b < 24

</span></span>\frac{-8b}{-8} \ \textless \  \frac{24}{-8}
<span><span>
b < -3

Have a nice days.........</span></span>
8 0
3 years ago
On the photo /picture
asambeis [7]

We need to compute the diagonal of yhe square.

d²=7²+7²=49×2cm²

d=7×sqrt(2)=7×1.41=9.87cm.

The diagonal we just computed is the diameter of the circle that contains the square.

Since d=9.87 < 11, then indeed, the square fits inside the circle, without touching it.

6 0
4 years ago
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