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Zinaida [17]
2 years ago
13

Which best describes the relationship between the successive terms in the sequence shown?

Mathematics
2 answers:
sergey [27]2 years ago
7 0
Take any term and subtract the one before it. -4.8 - 2.4 = -7.2 but -19.2 - 9.6 = -28.8 so the difference is NOT common
Dividing pairs of terms gives -4.8 / 2.4 = -2. 9.6 / -4.8 = -2. -19.2 / 9.6 = -2 so there is a common ratio of -2
Bingel [31]2 years ago
4 0
THE ANSWER IS THE COMMON DIFFERENCE IS -7.2 (first answer)

PLEASE MARK BRAINLIEST :)
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Write your own explicit formula. List the first 4 terms and solve for the 10th term using the formula. (show your work)
Shalnov [3]

Answer:

See below.

Step-by-step explanation:

Formula:

a_n = 3(n + 4)

First term: n = 1

a_1 = 3(1 + 4) = 15

Second term: n = 2

a_2 = 3(2 + 4) = 18

Third term: n = 3

a_3 = 3(3 + 4) = 21

Fourth term: n = 4

a_4 = 3(4 + 4) = 24

Tenth term: n = 10

a_{10} = 3(10 + 4) = 42

4 0
3 years ago
PLEASE HELP PLEASE WILL MARK BRAINLY
Shtirlitz [24]

Answer:

Every 18 miles he uses 3 gallons

divide this:

18 ÷ 3 = 6 miles per gallon

30 miles = 30 ÷ 6 = 5 gallons

7 gallons = 7 x 6 = 42 miles

48 miles = 48 ÷ 6 = 8 gallons

10 gallons = 10 x 6 = 60 miles

Hope this helps :D

8 0
2 years ago
Read 2 more answers
PLEASE HELP ME IT'S DUE TODAY AND IT COULD HELP MY GRADE A LOT
ElenaW [278]

Answer:

c = 13

m∡A = 60°

m∡B = 30°

Step-by-step explanation:

This is a 5-12-13 triangle. However, to make sure, I will put the steps.

Allow for each sides to be denoted as a-b-c, in which c is the hypotenuse (longest side). Set the equation:

a² + b² = c²

Plug in the corresponding numbers to the corresponding variables:

5² + 12² = c²

Simplify. First, solve the exponents, and then add:

(5²) = 5 * 5 = 25

(12²) = 12 * 12 = 144

25 + 144 = c²

c² = 169

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, c, by rooting both sides:

√c² = √169

c = √169 = √(13 * 13) = 13

c = 13

13 is your answer for c.

Note the measurements of the angles. We know that this is a 30-60-90 triangle, and so it will be easy to figure it out. Note that the corresponding angles will depend on that of the opposite side's measurement lengths. The hypotenuse will always be on the opposite side of the largest angle (as given), as c, the longest side, is opposite of ∡C, which is the largest angle (90°). Based on this information, it means that ∡A would be 60° (as it is opposite of the middle number, 12), and ∡B would be 30° (opposite of the smallest number, 5).

8 0
2 years ago
Amy wrote a check for $32 to pay her monthly electricity bill, but when balancing her checkbook, she accidentally recorded it as
ElenaW [278]
Her check register will have a surplus of 64 dollars compared to her actual balance. 
example
100 +32 = 132  (incorrect)
100 -32 = 68 (correct)
132 -68 = 64 surplus

7 0
2 years ago
Read 2 more answers
A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r). If
Margarita [4]

Answer:

32 red

28 white

20 blue

Step-by-step explanation:

.40 x 80 = 32 red

.35 x 80 = 28 white

.25 x 80 = 20 blue

The totals have to equal the total number of strands.

4 0
3 years ago
Read 2 more answers
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