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konstantin123 [22]
2 years ago
7

Choose the conjecture that describes how to find the 6th term in the sequence 4, 20, 36, 52, ….

Mathematics
1 answer:
Pie2 years ago
4 0

Answer:

B

Step-by-step explanation:

there is a common difference between consecutive terms in the sequence, that is

20 - 4 = 36 - 20 = 52 - 36 = 16

thus to obtain the next term in the sequence add 16 to the previous term

To obtain 2 terms distant then add 16 + 16 = 32

so 6th term = 52 + 32 = 84

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The length of each edge of a cube is decreased by 40 percent By what percent does the volume of the cube decrease? Express your
lora16 [44]

Answer:

78% (to the nearest tenth)

Step-by-step explanation:

Volume of a cube = (length )³

Let the length of the cube = y

Original volume = y³

if the length is decreased by 40%, then new length = 1- (40% of y)

                                                                                     = 1-0.4y

                                                                                     =  0.6%

New volume (after decreasing the length) = (0.6y)³

                                                                      =  0.216‬‬y³

% Volume decrease = (Original volume - New volume)/Original Volume x 100%

                                 =  (y³ - 0.216‬‬y³)/ y³  x 100%

                                 = 0.784y³/y³  x 100%

                                 =78.4%

                                ≈78%

5 0
4 years ago
Read 2 more answers
Angles 1 and 2 are complementary, and angle 1=3x+3 and angle 2=10x-4, find the degree measure of each angle
tensa zangetsu [6.8K]

Answer:

The measure of the angles:

24°  and   66°

Step-by-step explanation:

Complementary angles sum 90°

then:

(3x + 3) + (10x-4) = 90

3x + 10x + 3 - 4 = 90

13x - 1 = 90

13x = 90+1

13x = 91

x = 91/13

x = 7°

then:

  • angle 1:

3x+3 = 3*7 + 3 = 21+3 = 24°

  • angle 2

10x - 4 = 10*7  - 4 = 70 - 4 = 66°

Check:

66° + 24° = 90°

7 0
3 years ago
Help me please :( i will give brainly ;))
12345 [234]

Step-by-step explanation:

a) Distance between Aranville t o Bowtown = 24 miless

b) Bowtown and Dovebury are furthest apart.

c) Toatl distance = 20 + 37 = 57 miles

4 0
4 years ago
Jun-seo notices that there are 13 right-handed players on his baseball team and 2left-handed players.
IRISSAK [1]

Step-by-step explanation:

ratio of the right handed to left handed is 13 to 2

8 0
3 years ago
Someone help, lol I've been tryna do the last too for so long, I think I am just tired...
kozerog [31]

Answer:

see explanation

Step-by-step explanation:

(a)

4 × 4 = 4²

(b)

5 × 5 × 5 × 5 = 5^{4}

(c)

3 × 7 × 7 × 7 × 7 = 3 × 7^{4}

(d)

2 × 9 × 9 × 9 × 2 × 9 ← rearrange

= 2 × 2 × 9 × 9 × 9 × 9

= 2² × 9^{4}

6 0
4 years ago
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