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2 years ago

Find the 32nd term of arithmetic sequence; -32 , -13 , 7, 27,.....

Mathematics

1 answer:

Tanya [424]2 years ago

4 0

Answer:

Step-by-step explanation:

-32 , -13 , 7, 27,.....

a = first term = -32

d = 2nd term - first term = -13 - (-32) = -13 + 32 = 19

nth term = a + (n-1)*d

32nd term = -32 + 31*19 = -32 + 589 = 557

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Animals: The label on a bottle of pet vitamins lists dosage guidelines. What dosage would you give to each of these animals? (a)

Salsk061 [2.6K]

Answer:

a) 1 tsp.

b) 1.5 tsp.

c) 2 tsp.

Step-by-step explanation:

Complete Correct Question

Animals: The label on a bottle of pet vitamins lists dosage guidelines. What dosage would you give to each of these animals? (a) a 18 kg adult dog (b) a 6 kg cat (c) 18 kg pregnant dog

- The dosage listed for adult dog is 1/2 tsp per 9 kg dog weight.

- The dosage listed for adult cat is 1/4 tsp per 1 kg weight.

- The dosage listed for pregnant dog is 1/2 tsp per 4.5 kg dog weight.

Solution

a) 18 kg adult dog

The dosage listed for adult dog is 1/2 tsp per 9 kg dog weight.

9 kg dog weight = (1/2) tsp

18 kg adult dog = (18/9) × (1/2) = 1 teaspoon.

b) 6 kg cat

The dosage listed for adult cat is 1/4 tsp per 1 kg weight.

1 kg cat = (1/4) tsp

6 kg cat = (6/1) × (1/4) = (6/4) = 1.5 teaspoons.

c) 18 kg pregnant dog

The dosage listed for pregnant dog is 1/2 tsp per 4.5 kg dog weight.

4.5 kg dog weight = (1/2) tsp

18 kg pregnant dog = (18/4.5) × (1/2) = 2 teaspoons.

Hope this Helps!!!

4 0

2 years ago

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Factor completely. 18b−32 Enter your answer in the boxes. ___(___)

Kamila [148]

To factor completely 18b - 32, we factor out the common factor of the two terms and divide each of term by the common factor.

18b - 32 = 2(18b/2 - 32/2) = 2(9b - 16)

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2 years ago

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During the 2010 baseball season, the number of wins for three teams was three consecutive integers. Of these three teams, the

uysha [10]

Answer:

76075, 76076, 76077

Step-by-step explanation:

There are 3 teams; Team A, Team B and Team C

Team A has most wins

Team C has least wins

Team B is in between

All these will be consecutive numbers.

Team B: x

Team A: x + 1 (most wins)

Team C: x - 1 (least wins)

Team A + Team B + Team C = Total number of wins

x + x + 1 + x - 1 = 228228

3x = 228228

x = 76076

Wins of Team B : x = 76076

Wins of Team A : x + 1 = 76076 + 1 = 76077

Wins of Team C : x - 1 = 76076 - 1 = 76075

Therefore, in the 2010 season, Team A had 76077 wins, Team B had 76076 wins and Team C had 76075 wins.

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2 years ago

Which of the following completes the proof?

mihalych1998 [28]

Answer:

Step-by-step explanation:

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A pentagonal prism is cut by a plane perpendicular to the base. What is the shape of the cross section that is formed?

nasty-shy [4]

If it is a right prism, then the cross-section area will be considered a rectangle. Each lateral face will be perpendicular to the base, and if we cut the plane it will be perpendicular to the bases and the resulting angles of the cross-section would all be simply right angles.
Hence,
The best Answer would be third Option: A RECTANGLE.

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2 years ago

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